a>asize_fo_term_listV0c0ICtaFONila>asize_fo_term_listV2c0Aa>asize_fo_termV1c0aFOConsVVV0ACtaFONila<anat_to_intanat_size_fo_term_listV4anat_to_intanat_size_fo_term_listV0Aa<=c0anat_to_intanat_size_fo_term_listV0Ia>asize_fo_termV3c0Aa<anat_to_intanat_size_fo_termV3anat_to_intanat_size_fo_term_listV0Aa<=c0anat_to_intanat_size_fo_term_listV0aFOConsVVV0F
VC for size_positive_lemma_fo_term_list
a>asize_fo_termV0c0ICtaVar_fo_termVa>asize_fo_term_listV3c0Aa>asize_symbolV2c0aAppVVV0ACtaVar_fo_termVa<anat_to_intanat_size_fo_term_listV6anat_to_intanat_size_fo_termV0Aa<=c0anat_to_intanat_size_fo_termV0Ia>asize_symbolV5c0aAppVVV0F
VC for size_positive_lemma_fo_term
a>asize_fo_term_listV0c0F
a>asize_fo_termV1c0F
a=arename_fo_term_listarename_fo_term_listV2V3V4V5V6arename_fo_term_listV2arcomposeV3V5arcomposeV4V6ICtaFONila=arename_fo_term_listarename_fo_term_listV8V3V4V5V6arename_fo_term_listV8arcomposeV3V5arcomposeV4V6Aa=arename_fo_termarename_fo_termV7V3V4V5V6arename_fo_termV7arcomposeV3V5arcomposeV4V6aFOConsVVV2ACtaFONila<asize_fo_term_listV10asize_fo_term_listV2Aa<=c0asize_fo_term_listV2Ia=arename_fo_termarename_fo_termV9V3V4V5V6arename_fo_termV9arcomposeV3V5arcomposeV4V6Aa<asize_fo_termV9asize_fo_term_listV2Aa<=c0asize_fo_term_listV2aFOConsVVV2F
VC for renaming_composition_lemma_fo_term_list
a=arename_fo_termarename_fo_termV2V3V4V5V6arename_fo_termV2arcomposeV3V5arcomposeV4V6ICtaVar_fo_termVa=arename_fo_term_listarename_fo_term_listV9V3V4V5V6arename_fo_term_listV9arcomposeV3V5arcomposeV4V6Aa=arename_symbolarename_symbolV8V3V5arename_symbolV8arcomposeV3V5aAppVVV2ACtaVar_fo_termVa<asize_fo_term_listV12asize_fo_termV2Aa<=c0asize_fo_termV2Ia=arename_symbolarename_symbolV11V3V5arename_symbolV11arcomposeV3V5aAppVVV2F
VC for renaming_composition_lemma_fo_term
a=arename_fo_term_listarename_fo_term_listV2V3V4V5V6arename_fo_term_listV2arcomposeV3V5arcomposeV4V6F
a=arename_fo_termarename_fo_termV7V8V9V10V11arename_fo_termV7arcomposeV8V10arcomposeV9V11F
a=arename_fo_term_listV12aidentityaidentityV12ICtaFONila=arename_fo_term_listV14aidentityaidentityV14Aa=arename_fo_termV13aidentityaidentityV13aFOConsVVV12ACtaFONila<asize_fo_term_listV16asize_fo_term_listV12Aa<=c0asize_fo_term_listV12Ia=arename_fo_termV15aidentityaidentityV15Aa<asize_fo_termV15asize_fo_term_listV12Aa<=c0asize_fo_term_listV12aFOConsVVV12F
VC for renaming_identity_lemma_fo_term_list
a=arename_fo_termV12aidentityaidentityV12ICtaVar_fo_termVa=arename_fo_term_listV15aidentityaidentityV15Aa=arename_symbolV14aidentityV14aAppVVV12ACtaVar_fo_termVa<asize_fo_term_listV18asize_fo_termV12Aa<=c0asize_fo_termV12Ia=arename_symbolV17aidentityV17aAppVVV12F
VC for renaming_identity_lemma_fo_term
a=arename_fo_term_listV12aidentityaidentityV12F
a=arename_fo_termV13aidentityaidentityV13F
a=a@arename_subst_fo_termV14V15V16V17arename_fo_terma@V14V17V15V16F
a=arename_subst_fo_termV18arcomposeV19V21arcomposeV20V22arename_subst_fo_termarename_subst_fo_termV18V19V20V21V22AaextensionalEqualarename_subst_fo_termV18arcomposeV19V21arcomposeV20V22arename_subst_fo_termarename_subst_fo_termV18V19V20V21V22F
VC for associativity_subst_rename_rename_lemma_fo_term
a=arename_subst_fo_termV18arcomposeV19V21arcomposeV20V22arename_subst_fo_termarename_subst_fo_termV18V19V20V21V22F
a=arcomposeV23arename_subst_fo_termV24V25V26arename_subst_fo_termarcomposeV23V24V25V26AaextensionalEqualarcomposeV23arename_subst_fo_termV24V25V26arename_subst_fo_termarcomposeV23V24V25V26F
VC for associativity_rename_subst_rename_lemma_fo_term
a=arcomposeV23arename_subst_fo_termV24V25V26arename_subst_fo_termarcomposeV23V24V25V26F
a=arename_subst_fo_termV27aidentityaidentityV27AaextensionalEqualarename_subst_fo_termV27aidentityaidentityV27F
VC for right_rename_subst_by_identity_lemma_fo_term
a=arename_subst_fo_termV27aidentityaidentityV27F
a=aolifts_fo_termarcomposeV28V29arcomposeaoliftV28aolifts_fo_termV29AaextensionalEqualaolifts_fo_termarcomposeV28V29arcomposeaoliftV28aolifts_fo_termV29ACa=aevalaolifts_fo_termarcomposeV28V29V30aevalarcomposeaoliftV28aolifts_fo_termV29V30aNonea=aevalarename_subst_fo_termaolifts_fo_termV29aidentityaidentitya@arcomposeV28asomeV31aevalarcomposeaoliftV28aolifts_fo_termV29V30Aa=aevalarcomposeV28arename_subst_fo_termV29aidentityasomeV31aevalarename_subst_fo_termaolifts_fo_termV29aidentityaidentitya@arcomposeV28asomeV31Aa=aevalaolifts_fo_termarcomposeV28V29V30aevalarcomposeV28arename_subst_fo_termV29aidentityasomeV31aSomeVV30FF
VC for olifts_composition_lemma_rename_subst_fo_term
a=aolifts_fo_termarcomposeV28V29arcomposeaoliftV28aolifts_fo_termV29F
a=aolifts_fo_termarename_subst_fo_termV30V31V32arename_subst_fo_termaolifts_fo_termV30V31aoliftV32AaextensionalEqualaolifts_fo_termarename_subst_fo_termV30V31V32arename_subst_fo_termaolifts_fo_termV30V31aoliftV32ACa=aevalaolifts_fo_termarename_subst_fo_termV30V31V32V33aevalarename_subst_fo_termaolifts_fo_termV30V31aoliftV32V33aNonea=arename_fo_termarename_fo_terma@V30V34aidentityasomeV31aoliftV32aevalarename_subst_fo_termaolifts_fo_termV30V31aoliftV32V33Aa=aevalarename_subst_fo_termV30V31arcomposeV32asomeV34arename_fo_termarename_fo_terma@V30V34aidentityasomeV31aoliftV32Aa=aevalaolifts_fo_termarename_subst_fo_termV30V31V32V33aevalarename_subst_fo_termV30V31arcomposeV32asomeV34aSomeVV33FF
VC for olifts_composition_lemma_subst_rename_fo_term
a=aolifts_fo_termarename_subst_fo_termV30V31V32arename_subst_fo_termaolifts_fo_termV30V31aoliftV32F
a=asubst_fo_term_listarename_fo_term_listV33V34V35V36V37asubst_fo_term_listV33arcomposeV34V36arcomposeV35V37ICtaFONila=asubst_fo_term_listarename_fo_term_listV39V34V35V43V42asubst_fo_term_listV39arcomposeV34V43arcomposeV35V42Larename_subst_symbolV36aidentityLarename_subst_fo_termV37aidentityaidentityAa=asubst_fo_termarename_fo_termV38V34V35V41V40asubst_fo_termV38arcomposeV34V41arcomposeV35V40Larename_subst_symbolV36aidentityLarename_subst_fo_termV37aidentityaidentityaFOConsVVV33ACtaFONila<asize_fo_term_listV45asize_fo_term_listV33Aa<=c0asize_fo_term_listV33Ia=asubst_fo_termarename_fo_termV44V34V35V47V46asubst_fo_termV44arcomposeV34V47arcomposeV35V46Aa<asize_fo_termV44asize_fo_term_listV33Aa<=c0asize_fo_term_listV33Larename_subst_symbolV36aidentityLarename_subst_fo_termV37aidentityaidentityaFOConsVVV33F
VC for rename_then_subst_composition_lemma_fo_term_list
a=asubst_fo_termarename_fo_termV33V34V35V36V37asubst_fo_termV33arcomposeV34V36arcomposeV35V37ICtaVar_fo_termVa=asubst_fo_term_listarename_fo_term_listV40V34V35V43V42asubst_fo_term_listV40arcomposeV34V43arcomposeV35V42Larename_subst_symbolV36aidentityLarename_subst_fo_termV37aidentityaidentityAa=asubst_symbolarename_symbolV39V34V41asubst_symbolV39arcomposeV34V41Larename_subst_symbolV36aidentityaAppVVV33ACtaVar_fo_termVa<asize_fo_term_listV46asize_fo_termV33Aa<=c0asize_fo_termV33Ia=asubst_symbolarename_symbolV45V34V47asubst_symbolV45arcomposeV34V47Larename_subst_symbolV36aidentityaAppVVV33F
VC for rename_then_subst_composition_lemma_fo_term
a=asubst_fo_term_listarename_fo_term_listV33V34V35V36V37asubst_fo_term_listV33arcomposeV34V36arcomposeV35V37F
a=asubst_fo_termarename_fo_termV38V39V40V41V42asubst_fo_termV38arcomposeV39V41arcomposeV40V42F
a=arename_fo_term_listasubst_fo_term_listV43V44V45V46V47asubst_fo_term_listV43arename_subst_symbolV44V46arename_subst_fo_termV45V46V47ICtaFONila=arename_fo_term_listasubst_fo_term_listV49V53V52V46V47asubst_fo_term_listV49arename_subst_symbolV53V46arename_subst_fo_termV52V46V47Larename_subst_symbolV44aidentityLarename_subst_fo_termV45aidentityaidentityAa=arename_fo_termasubst_fo_termV48V51V50V46V47asubst_fo_termV48arename_subst_symbolV51V46arename_subst_fo_termV50V46V47Larename_subst_symbolV44aidentityLarename_subst_fo_termV45aidentityaidentityaFOConsVVV43ACtaFONila<asize_fo_term_listV55asize_fo_term_listV43Aa<=c0asize_fo_term_listV43Ia=arename_fo_termasubst_fo_termV54V57V56V46V47asubst_fo_termV54arename_subst_symbolV57V46arename_subst_fo_termV56V46V47Aa<asize_fo_termV54asize_fo_term_listV43Aa<=c0asize_fo_term_listV43Larename_subst_symbolV44aidentityLarename_subst_fo_termV45aidentityaidentityaFOConsVVV43F
VC for subst_then_rename_composition_lemma_fo_term_list
a=arename_fo_termasubst_fo_termV43V44V45V46V47asubst_fo_termV43arename_subst_symbolV44V46arename_subst_fo_termV45V46V47ICtaVar_fo_termVa=arename_fo_term_listasubst_fo_term_listV50V53V52V46V47asubst_fo_term_listV50arename_subst_symbolV53V46arename_subst_fo_termV52V46V47Larename_subst_symbolV44aidentityLarename_subst_fo_termV45aidentityaidentityAa=arename_symbolasubst_symbolV49V51V46asubst_symbolV49arename_subst_symbolV51V46Larename_subst_symbolV44aidentityaAppVVV43ACtaVar_fo_termVa<asize_fo_term_listV56asize_fo_termV43Aa<=c0asize_fo_termV43Ia=arename_symbolasubst_symbolV55V57V46asubst_symbolV55arename_subst_symbolV57V46Larename_subst_symbolV44aidentityaAppVVV43F
VC for subst_then_rename_composition_lemma_fo_term
a=arename_fo_term_listasubst_fo_term_listV43V44V45V46V47asubst_fo_term_listV43arename_subst_symbolV44V46arename_subst_fo_termV45V46V47F
a=arename_fo_termasubst_fo_termV48V49V50V51V52asubst_fo_termV48arename_subst_symbolV49V51arename_subst_fo_termV50V51V52F
a=a@asubst_compose_fo_termV53V54V55V56asubst_fo_terma@V53V56V54V55F
a=arcomposeV57asubst_compose_fo_termV58V59V60asubst_compose_fo_termarcomposeV57V58V59V60AaextensionalEqualarcomposeV57asubst_compose_fo_termV58V59V60asubst_compose_fo_termarcomposeV57V58V59V60F
VC for associativity_rename_subst_subst_lemma_fo_term
a=arcomposeV57asubst_compose_fo_termV58V59V60asubst_compose_fo_termarcomposeV57V58V59V60F
a=asubst_compose_fo_termV61arcomposeV62V64arcomposeV63V65asubst_compose_fo_termarename_subst_fo_termV61V62V63V64V65AaextensionalEqualasubst_compose_fo_termV61arcomposeV62V64arcomposeV63V65asubst_compose_fo_termarename_subst_fo_termV61V62V63V64V65F
VC for associativity_subst_rename_subst_lemma_fo_term
a=asubst_compose_fo_termV61arcomposeV62V64arcomposeV63V65asubst_compose_fo_termarename_subst_fo_termV61V62V63V64V65F
a=asubst_compose_fo_termV66arename_subst_symbolV67V69arename_subst_fo_termV68V69V70arename_subst_fo_termasubst_compose_fo_termV66V67V68V69V70AaextensionalEqualasubst_compose_fo_termV66arename_subst_symbolV67V69arename_subst_fo_termV68V69V70arename_subst_fo_termasubst_compose_fo_termV66V67V68V69V70F
VC for associativity_subst_subst_rename_lemma_fo_term
a=asubst_compose_fo_termV66arename_subst_symbolV67V69arename_subst_fo_termV68V69V70arename_subst_fo_termasubst_compose_fo_termV66V67V68V69V70F
Ca=aevalaolifts_fo_termasubst_compose_fo_termas1as20as23axaevalasubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23axaNonea=asubst_fo_termarename_fo_terma@as1V71aidentityasomearename_subst_symbolas20aidentityarename_subst_fo_termaolifts_fo_termas23aidentityaidentityaevalasubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23axAa=aevalasubst_compose_fo_termas1arename_subst_symbolas20aidentityarename_subst_fo_termas23aidentityasomeV71asubst_fo_termarename_fo_terma@as1V71aidentityasomearename_subst_symbolas20aidentityarename_subst_fo_termaolifts_fo_termas23aidentityaidentityAa=aevalaolifts_fo_termasubst_compose_fo_termas1as20as23axaevalasubst_compose_fo_termas1arename_subst_symbolas20aidentityarename_subst_fo_termas23aidentityasomeV71aSomeVax
assertion
Ca=aevalaolifts_fo_termasubst_compose_fo_termas1as20as23V71aevalasubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23V71aNonea=asubst_fo_termarename_fo_terma@as1V72aidentityasomearename_subst_symbolas20aidentityarename_subst_fo_termaolifts_fo_termas23aidentityaidentityaevalasubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23V71Aa=aevalasubst_compose_fo_termas1arename_subst_symbolas20aidentityarename_subst_fo_termas23aidentityasomeV72asubst_fo_termarename_fo_terma@as1V72aidentityasomearename_subst_symbolas20aidentityarename_subst_fo_termaolifts_fo_termas23aidentityaidentityAa=aevalaolifts_fo_termasubst_compose_fo_termas1as20as23V71aevalasubst_compose_fo_termas1arename_subst_symbolas20aidentityarename_subst_fo_termas23aidentityasomeV72aSomeVV71F
aextensionalEqualaolifts_fo_termasubst_compose_fo_termas1as20as23asubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23
a=aolifts_fo_termasubst_compose_fo_termas1as20as23asubst_compose_fo_termaolifts_fo_termas1arename_subst_symbolas20aidentityaolifts_fo_termas23
postcondition
a=aolifts_fo_termasubst_compose_fo_termV71V72V73asubst_compose_fo_termaolifts_fo_termV71arename_subst_symbolV72aidentityaolifts_fo_termV73AaextensionalEqualaolifts_fo_termasubst_compose_fo_termV71V72V73asubst_compose_fo_termaolifts_fo_termV71arename_subst_symbolV72aidentityaolifts_fo_termV73ACa=aevalaolifts_fo_termasubst_compose_fo_termV71V72V73V74aevalasubst_compose_fo_termaolifts_fo_termV71arename_subst_symbolV72aidentityaolifts_fo_termV73V74aNonea=asubst_fo_termarename_fo_terma@V71V75aidentityasomearename_subst_symbolV72aidentityarename_subst_fo_termaolifts_fo_termV73aidentityaidentityaevalasubst_compose_fo_termaolifts_fo_termV71arename_subst_symbolV72aidentityaolifts_fo_termV73V74Aa=aevalasubst_compose_fo_termV71arename_subst_symbolV72aidentityarename_subst_fo_termV73aidentityasomeV75asubst_fo_termarename_fo_terma@V71V75aidentityasomearename_subst_symbolV72aidentityarename_subst_fo_termaolifts_fo_termV73aidentityaidentityAa=aevalaolifts_fo_termasubst_compose_fo_termV71V72V73V74aevalasubst_compose_fo_termV
VC for olifts_composition_lemma_subst_subst_fo_term
a=aolifts_fo_termasubst_compose_fo_termV71V72V73asubst_compose_fo_termaolifts_fo_termV71arename_subst_symbolV72aidentityaolifts_fo_termV73F
a<asize_fo_termV79asize_fo_term_listV74Aa<=c0asize_fo_term_listV74Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityIa=V74aFOConsV79V80FF
variant decrease
a<asize_fo_term_listV80asize_fo_term_listV74Aa<=c0asize_fo_term_listV74Ia=asubst_fo_termasubst_fo_termV79V84V83V82V81asubst_fo_termV79asubst_compose_symbolV84V82asubst_compose_fo_termV83V82V81Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityIa=V74aFOConsV79V80FF
a=asubst_fo_term_listasubst_fo_term_listV74V75V76V77V78asubst_fo_term_listV74asubst_compose_symbolV75V77asubst_compose_fo_termV76V77V78ICtaFONila=asubst_fo_term_listasubst_fo_term_listV80V88V87V86V85asubst_fo_term_listV80asubst_compose_symbolV88V86asubst_compose_fo_termV87V86V85Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityAa=asubst_fo_termasubst_fo_termV79V84V83V82V81asubst_fo_termV79asubst_compose_symbolV84V82asubst_compose_fo_termV83V82V81Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityaFOConsVVV74F
a=asubst_fo_term_listasubst_fo_term_listV74V75V76V77V78asubst_fo_term_listV74asubst_compose_symbolV75V77asubst_compose_fo_termV76V77V78ICtaFONila=asubst_fo_term_listasubst_fo_term_listV80V88V87V86V85asubst_fo_term_listV80asubst_compose_symbolV88V86asubst_compose_fo_termV87V86V85Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityAa=asubst_fo_termasubst_fo_termV79V84V83V82V81asubst_fo_termV79asubst_compose_symbolV84V82asubst_compose_fo_termV83V82V81Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityaFOConsVVV74ACtaFONila<asize_fo_term_listV90asize_fo_term_listV74Aa<=c0asize_fo_term_listV74Ia=asubst_fo_termasubst_fo_termV89V94V93V92V91asubst_fo_termV89asubst_compose_symbolV94V92asubst_compose_fo_termV93V92V91Aa<asize_fo_termV89asize_fo_term_listV74Aa<=c0asize_fo_term_listV74Larename_subst_symbolV75aidentityLarename_subst_fo_term
VC for subst_composition_lemma_fo_term_list
a<asize_fo_term_listV80asize_fo_termV74Aa<=c0asize_fo_termV74Ia=asubst_symbolasubst_symbolV79V82V81asubst_symbolV79asubst_compose_symbolV82V81Larename_subst_symbolV75aidentityLarename_subst_symbolV77aidentityIa=V74aAppV79V80FF
a=asubst_fo_termasubst_fo_termV74V75V76V77V78asubst_fo_termV74asubst_compose_symbolV75V77asubst_compose_fo_termV76V77V78ICtaVar_fo_termVa=asubst_fo_term_listasubst_fo_term_listV81V87V86V85V84asubst_fo_term_listV81asubst_compose_symbolV87V85asubst_compose_fo_termV86V85V84Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityAa=asubst_symbolasubst_symbolV80V83V82asubst_symbolV80asubst_compose_symbolV83V82Larename_subst_symbolV75aidentityLarename_subst_symbolV77aidentityaAppVVV74F
a=asubst_fo_termasubst_fo_termV74V75V76V77V78asubst_fo_termV74asubst_compose_symbolV75V77asubst_compose_fo_termV76V77V78ICtaVar_fo_termVa=asubst_fo_term_listasubst_fo_term_listV81V87V86V85V84asubst_fo_term_listV81asubst_compose_symbolV87V85asubst_compose_fo_termV86V85V84Larename_subst_symbolV75aidentityLarename_subst_fo_termV76aidentityaidentityLarename_subst_symbolV77aidentityLarename_subst_fo_termV78aidentityaidentityAa=asubst_symbolasubst_symbolV80V83V82asubst_symbolV80asubst_compose_symbolV83V82Larename_subst_symbolV75aidentityLarename_subst_symbolV77aidentityaAppVVV74ACtaVar_fo_termVa<asize_fo_term_listV90asize_fo_termV74Aa<=c0asize_fo_termV74Ia=asubst_symbolasubst_symbolV89V92V91asubst_symbolV89asubst_compose_symbolV92V91Larename_subst_symbolV75aidentityLarename_subst_symbolV77aidentityaAppVVV74F
VC for subst_composition_lemma_fo_term
a=asubst_fo_term_listasubst_fo_term_listV74V75V76V77V78asubst_fo_term_listV74asubst_compose_symbolV75V77asubst_compose_fo_termV76V77V78F
a=asubst_fo_termasubst_fo_termV79V80V81V82V83asubst_fo_termV79asubst_compose_symbolV80V82asubst_compose_fo_termV81V82V83F
a=asubst_compose_fo_termV84asubst_compose_symbolV85V87asubst_compose_fo_termV86V87V88asubst_compose_fo_termasubst_compose_fo_termV84V85V86V87V88AaextensionalEqualasubst_compose_fo_termV84asubst_compose_symbolV85V87asubst_compose_fo_termV86V87V88asubst_compose_fo_termasubst_compose_fo_termV84V85V86V87V88F
VC for associativity_subst_subst_subst_lemma_fo_term
a=asubst_compose_fo_termV84asubst_compose_symbolV85V87asubst_compose_fo_termV86V87V88asubst_compose_fo_termasubst_compose_fo_termV84V85V86V87V88F
a=aevalasubst_id_fo_termV89aVar_fo_termV89F
a=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90Ia=V90aNoneF
a=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90Ia=V90aSomeV91FF
Ca=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aNonea=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aSomeVV90F
aextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termICa=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aNonea=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aSomeVV90F
a=aolifts_fo_termasubst_id_fo_termasubst_id_fo_termIaextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termICa=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aNonea=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aSomeVV90F
a=aolifts_fo_termasubst_id_fo_termasubst_id_fo_termAaextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termACa=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aNonea=aevalaolifts_fo_termasubst_id_fo_termV90aevalasubst_id_fo_termV90aSomeVV90F
VC for olifts_identity_fo_term
a=aolifts_fo_termasubst_id_fo_termasubst_id_fo_term
a=arename_subst_fo_termasubst_id_fo_termV90V91asubst_of_rename_fo_termV91AaextensionalEqualarename_subst_fo_termasubst_id_fo_termV90V91asubst_of_rename_fo_termV91F
VC for left_rename_subst_identity_lemma_fo_term
a=arename_subst_fo_termasubst_id_fo_termV90V91asubst_of_rename_fo_termV91F
a=asubst_fo_term_listV92asubst_id_symbolasubst_id_fo_termV92ICtaFONila=asubst_fo_term_listV94asubst_id_symbolasubst_id_fo_termV94Aa=asubst_fo_termV93asubst_id_symbolasubst_id_fo_termV93aFOConsVVV92ACtaFONila<asize_fo_term_listV96asize_fo_term_listV92Aa<=c0asize_fo_term_listV92Ia=asubst_fo_termV95asubst_id_symbolasubst_id_fo_termV95Aa<asize_fo_termV95asize_fo_term_listV92Aa<=c0asize_fo_term_listV92aFOConsVVV92F
VC for subst_identity_lemma_fo_term_list
a=asubst_fo_termV92asubst_id_symbolasubst_id_fo_termV92ICtaVar_fo_termVa=asubst_fo_term_listV95asubst_id_symbolasubst_id_fo_termV95Aa=asubst_symbolV94asubst_id_symbolV94aAppVVV92ACtaVar_fo_termVa<asize_fo_term_listV98asize_fo_termV92Aa<=c0asize_fo_termV92Ia=asubst_symbolV97asubst_id_symbolV97aAppVVV92F
VC for subst_identity_lemma_fo_term
a=asubst_fo_term_listV92asubst_id_symbolasubst_id_fo_termV92F
a=asubst_fo_termV93asubst_id_symbolasubst_id_fo_termV93F
a=asubst_compose_fo_termasubst_id_fo_termV94V95V95AaextensionalEqualasubst_compose_fo_termasubst_id_fo_termV94V95V95F
VC for left_subst_subst_identity_lemma_fo_term
a=asubst_compose_fo_termasubst_id_fo_termV94V95V95F
a=asubst_compose_fo_termV96asubst_id_symbolasubst_id_fo_termV96AaextensionalEqualasubst_compose_fo_termV96asubst_id_symbolasubst_id_fo_termV96F
VC for right_subst_subst_by_identity_lemma_fo_term
a=asubst_compose_fo_termV96asubst_id_symbolasubst_id_fo_termV96F
a=asize_fo_term_listarename_fo_term_listV97V98V99asize_fo_term_listV97ICtaFONila=asize_fo_term_listarename_fo_term_listV101V98V99asize_fo_term_listV101Aa=asize_fo_termarename_fo_termV100V98V99asize_fo_termV100aFOConsVVV97ACtaFONila<asize_fo_term_listV103asize_fo_term_listV97Aa<=c0asize_fo_term_listV97Ia=asize_fo_termarename_fo_termV102V98V99asize_fo_termV102Aa<asize_fo_termV102asize_fo_term_listV97Aa<=c0asize_fo_term_listV97aFOConsVVV97F
VC for renaming_preserve_size_fo_term_list
a=asize_fo_termarename_fo_termV97V98V99asize_fo_termV97ICtaVar_fo_termVa=asize_fo_term_listarename_fo_term_listV102V98V99asize_fo_term_listV102Aa=asize_symbolarename_symbolV101V98asize_symbolV101aAppVVV97ACtaVar_fo_termVa<asize_fo_term_listV105asize_fo_termV97Aa<=c0asize_fo_termV97Ia=asize_symbolarename_symbolV104V98asize_symbolV104aAppVVV97F
VC for renaming_preserve_size_fo_term
a=asize_fo_term_listarename_fo_term_listV97V98V99asize_fo_term_listV97F
a=asize_fo_termarename_fo_termV100V101V102asize_fo_termV100F
fIa=V104aFONilIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
unreachable point
a<asize_fo_termV107asize_fo_term_listV104Aa<=c0asize_fo_term_listV104Iais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Ia=V104aFOConsV107V108FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
ais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Iais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Ia=V104aFOConsV107V108FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
precondition
a<asize_fo_term_listV108asize_fo_term_listV104Aa<=c0asize_fo_term_listV104Iais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV108V105V106INais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Ia=V104aFOConsV107V108FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
ais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV108V105V106Iais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV108V105V106INais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Ia=V104aFOConsV107V108FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
fINais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV108V105V106INais_symbol_free_var_in_fo_termV103arename_fo_termV107V105V106Ia=V104aFOConsV107V108FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
a=a@V105V107V103Aais_symbol_free_var_in_fo_term_listV107V104ICfaFONilia=V107V110Aa=a@V105V110V103Aais_symbol_free_var_in_fo_term_listV110V109EAais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV109V105V106a=V107V111Aa=a@V105V111V103Aais_symbol_free_var_in_fo_termV111V108Eais_symbol_free_var_in_fo_termV103arename_fo_termV108V105V106aFOConsVVV104FIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
a=a@V105V107V103Aais_symbol_free_var_in_fo_term_listV107V104ICfaFONilia=V107V110Aa=a@V105V110V103Aais_symbol_free_var_in_fo_term_listV110V109EAais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV109V105V106a=V107V111Aa=a@V105V111V103Aais_symbol_free_var_in_fo_termV111V108Eais_symbol_free_var_in_fo_termV103arename_fo_termV108V105V106aFOConsVVV104FACfaFONiliifais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV113V105V106Aa<asize_fo_term_listV113asize_fo_term_listV104Aa<=c0asize_fo_term_listV104ais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV113V105V106ais_symbol_free_var_in_fo_termV103arename_fo_termV112V105V106Aa<asize_fo_termV112asize_fo_term_listV104Aa<=c0asize_fo_term_listV104ais_symbol_free_var_in_fo_termV103arename_fo_termV112V105V106aFOConsVVV104Iais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
VC for rename_free_var_constructive_inversion_symbol_fo_term_list
a=a@V105V108V103Aais_symbol_free_var_in_fo_term_listV108V104EIa=a@V105V107V103Aais_symbol_free_var_in_fo_term_listV107V104FAais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106Aa<asize_fo_term_listV104a+c1asize_fo_term_listV104Aa<=c0a+c1asize_fo_term_listV104Iais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
VC for rename_free_var_inversion_symbol_fo_term_list
a=a@V106V107V103Aais_fo_term_free_var_in_fo_term_listV107V104ICfaFONilia=V107V110Aa=a@V106V110V103Aais_fo_term_free_var_in_fo_term_listV110V109EAais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV109V105V106a=V107V111Aa=a@V106V111V103Aais_fo_term_free_var_in_fo_termV111V108Eais_fo_term_free_var_in_fo_termV103arename_fo_termV108V105V106aFOConsVVV104FACfaFONiliifais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV113V105V106Aa<asize_fo_term_listV113asize_fo_term_listV104Aa<=c0asize_fo_term_listV104ais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV113V105V106ais_fo_term_free_var_in_fo_termV103arename_fo_termV112V105V106Aa<asize_fo_termV112asize_fo_term_listV104Aa<=c0asize_fo_term_listV104ais_fo_term_free_var_in_fo_termV103arename_fo_termV112V105V106aFOConsVVV104Iais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
VC for rename_free_var_constructive_inversion_fo_term_fo_term_list
a=a@V106V108V103Aais_fo_term_free_var_in_fo_term_listV108V104EIa=a@V106V107V103Aais_fo_term_free_var_in_fo_term_listV107V104FAais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106Aa<asize_fo_term_listV104a+c1asize_fo_term_listV104Aa<=c0a+c1asize_fo_term_listV104Iais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
VC for rename_free_var_inversion_fo_term_fo_term_list
a=a@V105V107V103Aais_symbol_free_var_in_fo_termV107V104ICfaVar_fo_termVia=V107V111Aa=a@V105V111V103Aais_symbol_free_var_in_fo_term_listV111V110EAais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV110V105V106a=V107V112Aa=a@V105V112V103Aais_symbol_free_var_in_symbolV112V109Eais_symbol_free_var_in_symbolV103arename_symbolV109V105aAppVVV104FACfaVar_fo_termViifais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV115V105V106Aa<asize_fo_term_listV115asize_fo_termV104Aa<=c0asize_fo_termV104ais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV115V105V106ais_symbol_free_var_in_symbolV103arename_symbolV114V105ais_symbol_free_var_in_symbolV103arename_symbolV114V105aAppVVV104Iais_symbol_free_var_in_fo_termV103arename_fo_termV104V105V106F
VC for rename_free_var_constructive_inversion_symbol_fo_term
a=a@V105V108V103Aais_symbol_free_var_in_fo_termV108V104EIa=a@V105V107V103Aais_symbol_free_var_in_fo_termV107V104FAais_symbol_free_var_in_fo_termV103arename_fo_termV104V105V106Aa<asize_fo_termV104a+c1asize_fo_termV104Aa<=c0a+c1asize_fo_termV104Iais_symbol_free_var_in_fo_termV103arename_fo_termV104V105V106F
VC for rename_free_var_inversion_symbol_fo_term
a=a@V106V107V103Aais_fo_term_free_var_in_fo_termV107V104ICa=V107V108aVar_fo_termVa=V107V111Aa=a@V106V111V103Aais_fo_term_free_var_in_fo_term_listV111V110EAais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV110V105V106aAppVVV104FACtaVar_fo_termVifais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV114V105V106Aa<asize_fo_term_listV114asize_fo_termV104Aa<=c0asize_fo_termV104ais_fo_term_free_var_in_fo_term_listV103arename_fo_term_listV114V105V106aAppVVV104Iais_fo_term_free_var_in_fo_termV103arename_fo_termV104V105V106F
VC for rename_free_var_constructive_inversion_fo_term_fo_term
a=a@V106V108V103Aais_fo_term_free_var_in_fo_termV108V104EIa=a@V106V107V103Aais_fo_term_free_var_in_fo_termV107V104FAais_fo_term_free_var_in_fo_termV103arename_fo_termV104V105V106Aa<asize_fo_termV104a+c1asize_fo_termV104Aa<=c0a+c1asize_fo_termV104Iais_fo_term_free_var_in_fo_termV103arename_fo_termV104V105V106F
VC for rename_free_var_inversion_fo_term_fo_term
a=a@V105V107V103Aais_symbol_free_var_in_fo_term_listV107V104EIais_symbol_free_var_in_fo_term_listV103arename_fo_term_listV104V105V106F
a=a@V111V112V108Aais_fo_term_free_var_in_fo_term_listV112V109EIais_fo_term_free_var_in_fo_term_listV108arename_fo_term_listV109V110V111F
a=a@V115V117V113Aais_symbol_free_var_in_fo_termV117V114EIais_symbol_free_var_in_fo_termV113arename_fo_termV114V115V116F
a=a@V121V122V118Aais_fo_term_free_var_in_fo_termV122V119EIais_fo_term_free_var_in_fo_termV118arename_fo_termV119V120V121F
ais_symbol_free_var_in_fo_term_lista@V125V123arename_fo_term_listV124V125V126Iais_symbol_free_var_in_fo_term_listV123V124ICtaFONilais_symbol_free_var_in_fo_term_lista@V125V123arename_fo_term_listV128V125V126Iais_symbol_free_var_in_fo_term_listV123V128Aais_symbol_free_var_in_fo_terma@V125V123arename_fo_termV127V125V126Iais_symbol_free_var_in_fo_termV123V127aFOConsVVV124ACtaFONila<asize_fo_term_listV130asize_fo_term_listV124Aa<=c0asize_fo_term_listV124Iais_symbol_free_var_in_fo_terma@V125V123arename_fo_termV129V125V126Iais_symbol_free_var_in_fo_termV123V129Aa<asize_fo_termV129asize_fo_term_listV124Aa<=c0asize_fo_term_listV124aFOConsVVV124F
VC for rename_free_var_propagation_symbol_fo_term_list
ais_fo_term_free_var_in_fo_term_lista@V126V123arename_fo_term_listV124V125V126Iais_fo_term_free_var_in_fo_term_listV123V124ICtaFONilais_fo_term_free_var_in_fo_term_lista@V126V123arename_fo_term_listV128V125V126Iais_fo_term_free_var_in_fo_term_listV123V128Aais_fo_term_free_var_in_fo_terma@V126V123arename_fo_termV127V125V126Iais_fo_term_free_var_in_fo_termV123V127aFOConsVVV124ACtaFONila<asize_fo_term_listV130asize_fo_term_listV124Aa<=c0asize_fo_term_listV124Iais_fo_term_free_var_in_fo_terma@V126V123arename_fo_termV129V125V126Iais_fo_term_free_var_in_fo_termV123V129Aa<asize_fo_termV129asize_fo_term_listV124Aa<=c0asize_fo_term_listV124aFOConsVVV124F
VC for rename_free_var_propagation_fo_term_fo_term_list
ais_symbol_free_var_in_fo_terma@V125V123arename_fo_termV124V125V126Iais_symbol_free_var_in_fo_termV123V124ICtaVar_fo_termVais_symbol_free_var_in_fo_term_lista@V125V123arename_fo_term_listV129V125V126Iais_symbol_free_var_in_fo_term_listV123V129Aais_symbol_free_var_in_symbola@V125V123arename_symbolV128V125Iais_symbol_free_var_in_symbolV123V128aAppVVV124ACtaVar_fo_termVa<asize_fo_term_listV132asize_fo_termV124Aa<=c0asize_fo_termV124Iais_symbol_free_var_in_symbola@V125V123arename_symbolV131V125Iais_symbol_free_var_in_symbolV123V131aAppVVV124F
VC for rename_free_var_propagation_symbol_fo_term
ais_fo_term_free_var_in_fo_terma@V126V123arename_fo_termV124V125V126Iais_fo_term_free_var_in_fo_termV123V124ICtaVar_fo_termVais_fo_term_free_var_in_fo_term_lista@V126V123arename_fo_term_listV129V125V126Iais_fo_term_free_var_in_fo_term_listV123V129aAppVVV124ACtaVar_fo_termVa<asize_fo_term_listV132asize_fo_termV124Aa<=c0asize_fo_termV124aAppVVV124F
VC for rename_free_var_propagation_fo_term_fo_term
ais_symbol_free_var_in_fo_term_lista@V125V123arename_fo_term_listV124V125V126Iais_symbol_free_var_in_fo_term_listV123V124F
ais_fo_term_free_var_in_fo_term_lista@V130V127arename_fo_term_listV128V129V130Iais_fo_term_free_var_in_fo_term_listV127V128F
ais_symbol_free_var_in_fo_terma@V133V131arename_fo_termV132V133V134Iais_symbol_free_var_in_fo_termV131V132F
ais_fo_term_free_var_in_fo_terma@V138V135arename_fo_termV136V137V138Iais_fo_term_free_var_in_fo_termV135V136F
Cais_symbol_free_var_in_symbolV139a@V141V144Aais_symbol_free_var_in_fo_term_listV144V140aLeftVais_symbol_free_var_in_fo_termV139a@V142V145Aais_fo_term_free_var_in_fo_term_listV145V140aRightVV143ICfaFONiliCa=V143aLeftV149Aa=V150V139Aa=a@aidentityV150V139Aais_symbol_free_var_in_symbolV150aevalV141V149EaLeftVa=V143aRightV151Aa=V152V139Aa=a@aidentityV152V139Aais_symbol_free_var_in_fo_termV152aevalV142V151EaRightVV148ACais_symbol_free_var_in_symbolV139a@arename_subst_symbolV141aidentityV153Aais_symbol_free_var_in_fo_term_listV153V147aLeftVais_symbol_free_var_in_fo_termV139a@arename_subst_fo_termV142aidentityaidentityV154Aais_fo_term_free_var_in_fo_term_listV154V147aRightVV148EAais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV147arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityCa=V143aLeftV156Aa=V157V139Aa=a@aidentityV157V139Aais_symbol_free_var_in_symbolV157aevalV141V156EaLeftVa=V143aRightV158Aa=V159V139Aa=a@aidentityV159V139Aais_symbol_free_var_in_fo_termV159aevalV142V158EaRight
VC for subst_free_var_constructive_inversion_symbol_fo_term_list
ais_symbol_free_var_in_fo_termV139a@V142V144Aais_fo_term_free_var_in_fo_term_listV144V140EOais_symbol_free_var_in_symbolV139a@V141V145Aais_symbol_free_var_in_fo_term_listV145V140EICtaLeftVtaRightVV143ICais_symbol_free_var_in_symbolV139a@V141V148Aais_symbol_free_var_in_fo_term_listV148V140aLeftVais_symbol_free_var_in_fo_termV139a@V142V149Aais_fo_term_free_var_in_fo_term_listV149V140aRightVV143FAais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV140V141V142Aa<asize_fo_term_listV140a+c1asize_fo_term_listV140Aa<=c0a+c1asize_fo_term_listV140Iais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV140V141V142F
VC for subst_free_var_inversion_symbol_fo_term_list
ais_fo_term_free_var_in_fo_termV139a@V142V143Aais_fo_term_free_var_in_fo_term_listV143V140ICfaFONilia=V143V146Aa=V147V139Aa=a@aidentityV147V139Aais_fo_term_free_var_in_fo_termV147aevalV142V146EAais_fo_term_free_var_in_fo_termV139a@arename_subst_fo_termV142aidentityaidentityV146Aais_fo_term_free_var_in_fo_term_listV146V145EAais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_listV145arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentitya=V143V148Aa=V149V139Aa=a@aidentityV149V139Aais_fo_term_free_var_in_fo_termV149aevalV142V148EAais_fo_term_free_var_in_fo_termV139a@arename_subst_fo_termV142aidentityaidentityV148Aais_fo_term_free_var_in_fo_termV148V144Eais_fo_term_free_var_in_fo_termV139asubst_fo_termV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityaFOConsVVV140FACfaFONiliifa=V156V139Ia=a@V154V156V139Aais_fo_term_free_var_in_fo_termV156V155FAais_fo_term_free_var_in_fo_termV139arename_fo_termV155aidentityV154LaevalV142V153LaidentityIais_fo_term_free_var_in_fo_term
VC for subst_free_var_constructive_inversion_fo_term_fo_term_list
ais_fo_term_free_var_in_fo_termV139a@V142V144Aais_fo_term_free_var_in_fo_term_listV144V140EIais_fo_term_free_var_in_fo_termV139a@V142V143Aais_fo_term_free_var_in_fo_term_listV143V140FAais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_listV140V141V142Aa<asize_fo_term_listV140a+c1asize_fo_term_listV140Aa<=c0a+c1asize_fo_term_listV140Iais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_listV140V141V142F
VC for subst_free_var_inversion_fo_term_fo_term_list
ais_symbol_free_var_in_symbolV139asubst_symbolV143V145Larename_subst_symbolV141aidentityIais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
ais_symbol_free_var_in_symbolV139arename_symbolV148V147LaevalV141V146LaidentityIais_symbol_free_var_in_symbolV139a@V145V146Aais_symbol_free_var_in_symbolV146V143FLarename_subst_symbolV141aidentityIais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
a=V149V139Ia=a@V147V149V139Aais_symbol_free_var_in_symbolV149V148FLaevalV141V146LaidentityIais_symbol_free_var_in_symbolV139a@V145V146Aais_symbol_free_var_in_symbolV146V143FLarename_subst_symbolV141aidentityIais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
a<asize_fo_term_listV144asize_fo_termV140Aa<=c0asize_fo_termV140Larename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
ais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144V146V145Larename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
ais_symbol_free_var_in_symbolV139arename_symbolV150V149LaevalV141V148LaidentityIa=V147aLeftV148FICais_symbol_free_var_in_symbolV139a@V146V151Aais_symbol_free_var_in_fo_term_listV151V144aLeftVais_symbol_free_var_in_fo_termV139a@V145V152Aais_fo_term_free_var_in_fo_term_listV152V144aRightVV147FLarename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
a=V151V139Ia=a@V149V151V139Aais_symbol_free_var_in_symbolV151V150FLaevalV141V148LaidentityIa=V147aLeftV148FICais_symbol_free_var_in_symbolV139a@V146V152Aais_symbol_free_var_in_fo_term_listV152V144aLeftVais_symbol_free_var_in_fo_termV139a@V145V153Aais_fo_term_free_var_in_fo_term_listV153V144aRightVV147FLarename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
ais_symbol_free_var_in_fo_termV139arename_fo_termV150V149aidentityLaevalV142V148LaidentityIa=V147aRightV148FICais_symbol_free_var_in_symbolV139a@V146V151Aais_symbol_free_var_in_fo_term_listV151V144aLeftVais_symbol_free_var_in_fo_termV139a@V145V152Aais_fo_term_free_var_in_fo_term_listV152V144aRightVV147FLarename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
a=V151V139Ia=a@V149V151V139Aais_symbol_free_var_in_fo_termV151V150FLaevalV142V148LaidentityIa=V147aRightV148FICais_symbol_free_var_in_symbolV139a@V146V152Aais_symbol_free_var_in_fo_term_listV152V144aLeftVais_symbol_free_var_in_fo_termV139a@V145V153Aais_fo_term_free_var_in_fo_term_listV153V144aRightVV147FLarename_subst_symbolV141aidentityLarename_subst_fo_termV142aidentityaidentityIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
fINais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV144arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityINais_symbol_free_var_in_symbolV139asubst_symbolV143arename_subst_symbolV141aidentityIa=V140aAppV143V144FIais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
Cais_symbol_free_var_in_symbolV139a@V141V144Aais_symbol_free_var_in_fo_termV144V140aLeftVais_symbol_free_var_in_fo_termV139a@V142V145Aais_fo_term_free_var_in_fo_termV145V140aRightVV143ICa=V143aRightV146aVar_fo_termViCa=V143aLeftV150Aa=V151V139Aa=a@aidentityV151V139Aais_symbol_free_var_in_symbolV151aevalV141V150EaLeftVa=V143aRightV152Aa=V153V139Aa=a@aidentityV153V139Aais_symbol_free_var_in_fo_termV153aevalV142V152EaRightVV149ACais_symbol_free_var_in_symbolV139a@arename_subst_symbolV141aidentityV154Aais_symbol_free_var_in_fo_term_listV154V148aLeftVais_symbol_free_var_in_fo_termV139a@arename_subst_fo_termV142aidentityaidentityV155Aais_fo_term_free_var_in_fo_term_listV155V148aRightVV149EAais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV148arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentitya=V143aLeftV156Aa=V157V139Aa=a@aidentityV157V139Aais_symbol_free_var_in_symbolV157aevalV141V156EAais_symbol_free_var_in_symbolV139a@arename_subst_symbolV141aidentityV156Aais_symbol_free_var_in_symbol
VC for subst_free_var_constructive_inversion_symbol_fo_term
ais_symbol_free_var_in_fo_termV139a@V142V144Aais_fo_term_free_var_in_fo_termV144V140EOais_symbol_free_var_in_symbolV139a@V141V145Aais_symbol_free_var_in_fo_termV145V140EICtaLeftVtaRightVV143ICais_symbol_free_var_in_symbolV139a@V141V148Aais_symbol_free_var_in_fo_termV148V140aLeftVais_symbol_free_var_in_fo_termV139a@V142V149Aais_fo_term_free_var_in_fo_termV149V140aRightVV143FAais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142Aa<asize_fo_termV140a+c1asize_fo_termV140Aa<=c0a+c1asize_fo_termV140Iais_symbol_free_var_in_fo_termV139asubst_fo_termV140V141V142F
VC for subst_free_var_inversion_symbol_fo_term
ais_fo_term_free_var_in_fo_termV139a@V142V143Aais_fo_term_free_var_in_fo_termV143V140ICa=V143V144aVar_fo_termVa=V143V147Aa=V148V139Aa=a@aidentityV148V139Aais_fo_term_free_var_in_fo_termV148aevalV142V147EAais_fo_term_free_var_in_fo_termV139a@arename_subst_fo_termV142aidentityaidentityV147Aais_fo_term_free_var_in_fo_term_listV147V146EAais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_listV146arename_subst_symbolV141aidentityarename_subst_fo_termV142aidentityaidentityaAppVVV140FACtaVar_fo_termVifa=V156V139Ia=a@V154V156V139Aais_fo_term_free_var_in_fo_termV156V155FAais_fo_term_free_var_in_fo_termV139arename_fo_termV155aidentityV154LaevalV142V153LaidentityIais_fo_term_free_var_in_fo_termV139a@V152V153Aais_fo_term_free_var_in_fo_term_listV153V151FAais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_listV151arename_subst_symbolV141aidentityV152Aa<asize_fo_term_listV151asize_fo_termV140Aa<=c0asize_fo_termV140Larename_subst_fo_termV142aidentityaidentityais_fo_term_free_var_in_fo_term_listV139asubst_fo_term_list
VC for subst_free_var_constructive_inversion_fo_term_fo_term
ais_fo_term_free_var_in_fo_termV139a@V142V144Aais_fo_term_free_var_in_fo_termV144V140EIais_fo_term_free_var_in_fo_termV139a@V142V143Aais_fo_term_free_var_in_fo_termV143V140FAais_fo_term_free_var_in_fo_termV139asubst_fo_termV140V141V142Aa<asize_fo_termV140a+c1asize_fo_termV140Aa<=c0a+c1asize_fo_termV140Iais_fo_term_free_var_in_fo_termV139asubst_fo_termV140V141V142F
VC for subst_free_var_inversion_fo_term_fo_term
ais_symbol_free_var_in_fo_termV139a@V142V143Aais_fo_term_free_var_in_fo_term_listV143V140EOais_symbol_free_var_in_symbolV139a@V141V144Aais_symbol_free_var_in_fo_term_listV144V140EIais_symbol_free_var_in_fo_term_listV139asubst_fo_term_listV140V141V142F
ais_fo_term_free_var_in_fo_termV145a@V148V149Aais_fo_term_free_var_in_fo_term_listV149V146EIais_fo_term_free_var_in_fo_term_listV145asubst_fo_term_listV146V147V148F
ais_symbol_free_var_in_fo_termV150a@V153V154Aais_fo_term_free_var_in_fo_termV154V151EOais_symbol_free_var_in_symbolV150a@V152V155Aais_symbol_free_var_in_fo_termV155V151EIais_symbol_free_var_in_fo_termV150asubst_fo_termV151V152V153F
ais_fo_term_free_var_in_fo_termV156a@V159V160Aais_fo_term_free_var_in_fo_termV160V157EIais_fo_term_free_var_in_fo_termV156asubst_fo_termV157V158V159F
ais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV163V164V165Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_fo_term_listV161V163ICtaFONilais_symbol_free_var_in_symbolV162aevalarename_subst_symbolV164aidentityV161Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_symbola@V172V162arename_symbolV173V172Iais_symbol_free_var_in_symbolV162V173LaevalV164V161LaidentityAais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV167V171arename_subst_fo_termV165aidentityaidentityIais_symbol_free_var_in_symbolV162a@V171V161Aais_symbol_free_var_in_fo_term_listV161V167Larename_subst_symbolV164aidentityAais_symbol_free_var_in_symbolV162aevalarename_subst_symbolV164aidentityV161Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_symbola@V169V162arename_symbolV170V169Iais_symbol_free_var_in_symbolV162V170LaevalV164V161LaidentityAais_symbol_free_var_in_fo_termV162asubst_fo_termV166V168arename_subst_fo_termV165aidentityaidentityIais_symbol_free_var_in_symbolV162a@V168
VC for subst_free_var_propagation_symbol_symbol_fo_term_list
ais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV163V164V165Iais_symbol_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_term_listV161V163ICtaFONilais_symbol_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_symbol_free_var_in_fo_termV162a@V165V161Aais_symbol_free_var_in_fo_terma@V172V162arename_fo_termV173V172aidentityIais_symbol_free_var_in_fo_termV162V173LaevalV165V161LaidentityAais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV167arename_subst_symbolV164aidentityV171Iais_symbol_free_var_in_fo_termV162a@V171V161Aais_fo_term_free_var_in_fo_term_listV161V167Larename_subst_fo_termV165aidentityaidentityAais_symbol_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_symbol_free_var_in_fo_termV162a@V165V161Aais_symbol_free_var_in_fo_terma@V169V162arename_fo_termV170V169aidentityIais_symbol_free_var_in_fo_termV162V170LaevalV165V161LaidentityAais_symbol_free_var_in_fo_termV162asubst_fo_termV166arename_subst_symbolV164aidentity
VC for subst_free_var_propagation_fo_term_symbol_fo_term_list
a<asize_fo_termV166asize_fo_term_listV163Aa<=c0asize_fo_term_listV163Larename_subst_fo_termV165aidentityaidentityIa=V163aFOConsV166V167FF
ais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Iais_fo_term_free_var_in_fo_terma@V169V162arename_fo_termV170aidentityV169Iais_fo_term_free_var_in_fo_termV162V170LaevalV165V161LaidentityIais_fo_term_free_var_in_fo_termV162asubst_fo_termV166arename_subst_symbolV164aidentityV168Iais_fo_term_free_var_in_fo_termV162a@V168V161Aais_fo_term_free_var_in_fo_termV161V166Larename_subst_fo_termV165aidentityaidentityIa=V163aFOConsV166V167FF
a<asize_fo_term_listV167asize_fo_term_listV163Aa<=c0asize_fo_term_listV163Larename_subst_fo_termV165aidentityaidentityIais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Iais_fo_term_free_var_in_fo_terma@V169V162arename_fo_termV170aidentityV169Iais_fo_term_free_var_in_fo_termV162V170LaevalV165V161LaidentityIais_fo_term_free_var_in_fo_termV162asubst_fo_termV166arename_subst_symbolV164aidentityV168Iais_fo_term_free_var_in_fo_termV162a@V168V161Aais_fo_term_free_var_in_fo_termV161V166Larename_subst_fo_termV165aidentityaidentityIa=V163aFOConsV166V167FF
ais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Iais_fo_term_free_var_in_fo_terma@V172V162arename_fo_termV173aidentityV172Iais_fo_term_free_var_in_fo_termV162V173LaevalV165V161LaidentityIais_fo_term_free_var_in_fo_term_listV162asubst_fo_term_listV167arename_subst_symbolV164aidentityV171Iais_fo_term_free_var_in_fo_termV162a@V171V161Aais_fo_term_free_var_in_fo_term_listV161V167Larename_subst_fo_termV165aidentityaidentityIais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Iais_fo_term_free_var_in_fo_terma@V169V162arename_fo_termV170aidentityV169Iais_fo_term_free_var_in_fo_termV162V170LaevalV165V161LaidentityIais_fo_term_free_var_in_fo_termV162asubst_fo_termV166arename_subst_symbolV164aidentityV168Iais_fo_term_free_var_in_fo_termV162a@V168V161Aais_fo_term_free_var_in_fo_termV161V166Larename_subst_fo_termV165aidentityaidentityIa=V163aFOConsV166V167FF
ais_fo_term_free_var_in_fo_term_listV162asubst_fo_term_listV163V164V165Iais_fo_term_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_term_listV161V163ICtaFONilais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_terma@V172V162arename_fo_termV173aidentityV172Iais_fo_term_free_var_in_fo_termV162V173LaevalV165V161LaidentityAais_fo_term_free_var_in_fo_term_listV162asubst_fo_term_listV167arename_subst_symbolV164aidentityV171Iais_fo_term_free_var_in_fo_termV162a@V171V161Aais_fo_term_free_var_in_fo_term_listV161V167Larename_subst_fo_termV165aidentityaidentityAais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_terma@V169V162arename_fo_termV170aidentityV169Iais_fo_term_free_var_in_fo_termV162V170LaevalV165V161LaidentityAais_fo_term_free_var_in_fo_termV162asubst_fo_termV166arename_subst_symbol
VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list
ais_symbol_free_var_in_fo_termV162asubst_fo_termV163V164V165Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_fo_termV161V163ICtaVar_fo_termVais_symbol_free_var_in_symbolV162aevalarename_subst_symbolV164aidentityV161Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_symbola@V173V162arename_symbolV174V173Iais_symbol_free_var_in_symbolV162V174LaevalV164V161LaidentityAais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV168V172arename_subst_fo_termV165aidentityaidentityIais_symbol_free_var_in_symbolV162a@V172V161Aais_symbol_free_var_in_fo_term_listV161V168Larename_subst_symbolV164aidentityAais_symbol_free_var_in_symbolV162aevalarename_subst_symbolV164aidentityV161Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_symbola@V170V162arename_symbolV171V170Iais_symbol_free_var_in_symbolV162V171LaevalV164V161LaidentityAais_symbol_free_var_in_symbolV162asubst_symbolV167V169Iais_symbol_free_var_in_symbolV162a@V169V161Aais_symbol_free_var_in_symbolV161V167Larename_subst_symbol
VC for subst_free_var_propagation_symbol_symbol_fo_term
ais_symbol_free_var_in_fo_termV162asubst_fo_termV163V164V165Iais_symbol_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_termV161V163ICtaVar_fo_termVais_symbol_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_symbol_free_var_in_fo_termV162a@V165V161Aais_symbol_free_var_in_fo_terma@V170V162arename_fo_termV171V170aidentityIais_symbol_free_var_in_fo_termV162V171LaevalV165V161LaidentityAais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV168arename_subst_symbolV164aidentityV169Iais_symbol_free_var_in_fo_termV162a@V169V161Aais_fo_term_free_var_in_fo_term_listV161V168Larename_subst_fo_termV165aidentityaidentityaAppVVV163ACtaVar_fo_termVais_symbol_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_symbol_free_var_in_fo_termV162a@V165V161Iais_symbol_free_var_in_fo_terma@V176V162arename_fo_termV177V176aidentityIais_symbol_free_var_in_fo_termV162V177LaevalV165V161LaidentityIais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV174arename_subst_symbol
VC for subst_free_var_propagation_fo_term_symbol_fo_term
ais_fo_term_free_var_in_fo_termV162asubst_fo_termV163V164V165Iais_fo_term_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_termV161V163ICtaVar_fo_termVais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Aais_fo_term_free_var_in_fo_terma@V170V162arename_fo_termV171aidentityV170Iais_fo_term_free_var_in_fo_termV162V171LaevalV165V161LaidentityAais_fo_term_free_var_in_fo_term_listV162asubst_fo_term_listV168arename_subst_symbolV164aidentityV169Iais_fo_term_free_var_in_fo_termV162a@V169V161Aais_fo_term_free_var_in_fo_term_listV161V168Larename_subst_fo_termV165aidentityaidentityaAppVVV163ACtaVar_fo_termVais_fo_term_free_var_in_fo_termV162aevalarename_subst_fo_termV165aidentityaidentityV161Iais_fo_term_free_var_in_fo_termV162a@V165V161Iais_fo_term_free_var_in_fo_terma@V176V162arename_fo_termV177aidentityV176Iais_fo_term_free_var_in_fo_termV162V177LaevalV165V161LaidentityIais_fo_term_free_var_in_fo_term_listV162asubst_fo_term_list
VC for subst_free_var_propagation_fo_term_fo_term_fo_term
ais_symbol_free_var_in_fo_term_listV162asubst_fo_term_listV163V164V165Iais_symbol_free_var_in_symbolV162a@V164V161Aais_symbol_free_var_in_fo_term_listV161V163F
ais_symbol_free_var_in_fo_term_listV167asubst_fo_term_listV168V169V170Iais_symbol_free_var_in_fo_termV167a@V170V166Aais_fo_term_free_var_in_fo_term_listV166V168F
ais_fo_term_free_var_in_fo_term_listV172asubst_fo_term_listV173V174V175Iais_fo_term_free_var_in_fo_termV172a@V175V171Aais_fo_term_free_var_in_fo_term_listV171V173F
ais_symbol_free_var_in_fo_termV177asubst_fo_termV178V179V180Iais_symbol_free_var_in_symbolV177a@V179V176Aais_symbol_free_var_in_fo_termV176V178F
ais_symbol_free_var_in_fo_termV182asubst_fo_termV183V184V185Iais_symbol_free_var_in_fo_termV182a@V185V181Aais_fo_term_free_var_in_fo_termV181V183F
ais_fo_term_free_var_in_fo_termV187asubst_fo_termV188V189V190Iais_fo_term_free_var_in_fo_termV187a@V190V186Aais_fo_term_free_var_in_fo_termV186V188F
a=asubst_fo_term_listV191V192V194asubst_fo_term_listV191V193V195ICtaFONila=asubst_fo_term_listV197arename_subst_symbolV192aidentityarename_subst_fo_termV194aidentityaidentityasubst_fo_term_listV197arename_subst_symbolV193aidentityarename_subst_fo_termV195aidentityaidentityAais_fo_term_free_var_in_fo_term_listV198V191Iais_fo_term_free_var_in_fo_term_listV198V197FAais_symbol_free_var_in_fo_term_listV199V191Iais_symbol_free_var_in_fo_term_listV199V197FAa=asubst_fo_termV196arename_subst_symbolV192aidentityarename_subst_fo_termV194aidentityaidentityasubst_fo_termV196arename_subst_symbolV193aidentityarename_subst_fo_termV195aidentityaidentityAais_fo_term_free_var_in_fo_term_listV200V191Iais_fo_term_free_var_in_fo_termV200V196FAais_symbol_free_var_in_fo_term_listV201V191Iais_symbol_free_var_in_fo_termV201V196FaFOConsVVV191ACtaFONila=a@arename_subst_fo_termV194aidentityaidentityV208a@arename_subst_fo_termV195aidentityaidentityV208Iais_fo_term_free_var_in_fo_term_listV208V203FAa=a@arename_subst_symbolV192aidentityV209
VC for free_var_equivalence_of_subst_fo_term_list
ais_symbol_free_var_in_fo_termV198V191Iais_symbol_free_var_in_symbolV198V196FIa=V191aAppV196V197FIa=a@V194V199a@V195V199Iais_fo_term_free_var_in_fo_termV199V191FAa=a@V192V200a@V193V200Iais_symbol_free_var_in_fo_termV200V191FF
a=a@V199V200a@V198V200Iais_symbol_free_var_in_symbolV200V196FLarename_subst_symbolV192aidentityLarename_subst_symbolV193aidentityIais_symbol_free_var_in_fo_termV201V191Iais_symbol_free_var_in_symbolV201V196FIa=V191aAppV196V197FIa=a@V194V202a@V195V202Iais_fo_term_free_var_in_fo_termV202V191FAa=a@V192V203a@V193V203Iais_symbol_free_var_in_fo_termV203V191FF
ais_symbol_free_var_in_fo_termV200V191Iais_symbol_free_var_in_fo_term_listV200V197FIa=asubst_symbolV196V199asubst_symbolV196V198Larename_subst_symbolV192aidentityLarename_subst_symbolV193aidentityIais_symbol_free_var_in_fo_termV201V191Iais_symbol_free_var_in_symbolV201V196FIa=V191aAppV196V197FIa=a@V194V202a@V195V202Iais_fo_term_free_var_in_fo_termV202V191FAa=a@V192V203a@V193V203Iais_symbol_free_var_in_fo_termV203V191FF
ais_fo_term_free_var_in_fo_termV200V191Iais_fo_term_free_var_in_fo_term_listV200V197FIais_symbol_free_var_in_fo_termV201V191Iais_symbol_free_var_in_fo_term_listV201V197FIa=asubst_symbolV196V199asubst_symbolV196V198Larename_subst_symbolV192aidentityLarename_subst_symbolV193aidentityIais_symbol_free_var_in_fo_termV202V191Iais_symbol_free_var_in_symbolV202V196FIa=V191aAppV196V197FIa=a@V194V203a@V195V203Iais_fo_term_free_var_in_fo_termV203V191FAa=a@V192V204a@V193V204Iais_symbol_free_var_in_fo_termV204V191FF
a<asize_fo_term_listV197asize_fo_termV191Aa<=c0asize_fo_termV191Iais_fo_term_free_var_in_fo_termV200V191Iais_fo_term_free_var_in_fo_term_listV200V197FIais_symbol_free_var_in_fo_termV201V191Iais_symbol_free_var_in_fo_term_listV201V197FIa=asubst_symbolV196V199asubst_symbolV196V198Larename_subst_symbolV192aidentityLarename_subst_symbolV193aidentityIais_symbol_free_var_in_fo_termV202V191Iais_symbol_free_var_in_symbolV202V196FIa=V191aAppV196V197FIa=a@V194V203a@V195V203Iais_fo_term_free_var_in_fo_termV203V191FAa=a@V192V204a@V193V204Iais_symbol_free_var_in_fo_termV204V191FF
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a=a@arename_subst_fo_termV194aidentityaidentityV200a@arename_subst_fo_termV195aidentityaidentityV200Iais_fo_term_free_var_in_fo_term_listV200V197FIa=a@arename_subst_symbolV192aidentityV201a@arename_subst_symbolV193aidentityV201Iais_symbol_free_var_in_fo_term_listV201V197FIais_fo_term_free_var_in_fo_termV202V191Iais_fo_term_free_var_in_fo_term_listV202V197FIais_symbol_free_var_in_fo_termV203V191Iais_symbol_free_var_in_fo_term_listV203V197FIa=asubst_symbolV196V199asubst_symbolV196V198Larename_subst_symbolV192aidentityLarename_subst_symbolV193aidentityIais_symbol_free_var_in_fo_termV204V191Iais_symbol_free_var_in_symbolV204V196FIa=V191aAppV196V197FIa=a@V194V205a@V195V205Iais_fo_term_free_var_in_fo_termV205V191FAa=a@V192V206a@V193V206Iais_symbol_free_var_in_fo_termV206V191FF
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a=asubst_fo_termV191V192V194asubst_fo_termV191V193V195ICtaVar_fo_termVa=asubst_fo_term_listV198arename_subst_symbolV192aidentityarename_subst_fo_termV194aidentityaidentityasubst_fo_term_listV198arename_subst_symbolV193aidentityarename_subst_fo_termV195aidentityaidentityAais_fo_term_free_var_in_fo_termV199V191Iais_fo_term_free_var_in_fo_term_listV199V198FAais_symbol_free_var_in_fo_termV200V191Iais_symbol_free_var_in_fo_term_listV200V198FAa=asubst_symbolV197arename_subst_symbolV192aidentityasubst_symbolV197arename_subst_symbolV193aidentityAais_symbol_free_var_in_fo_termV201V191Iais_symbol_free_var_in_symbolV201V197FaAppVVV191ACtaVar_fo_termVa=a@arename_subst_fo_termV194aidentityaidentityV207a@arename_subst_fo_termV195aidentityaidentityV207Iais_fo_term_free_var_in_fo_term_listV207V204FAa=a@arename_subst_symbolV192aidentityV208a@arename_subst_symbolV193aidentityV208Iais_symbol_free_var_in_fo_term_listV208V204FAa<asize_fo_term_listV204asize_fo_termV191Aa<=c0asize_fo_termV191Iais_fo_term_free_var_in_fo_termV209V191
VC for free_var_equivalence_of_subst_fo_term
a=asubst_fo_term_listV191V192V194asubst_fo_term_listV191V193V195Ia=a@V194V196a@V195V196Iais_fo_term_free_var_in_fo_term_listV196V191FIa=a@V192V197a@V193V197Iais_symbol_free_var_in_fo_term_listV197V191FF
a=asubst_fo_termV198V199V201asubst_fo_termV198V200V202Ia=a@V201V203a@V202V203Iais_fo_term_free_var_in_fo_termV203V198FIa=a@V199V204a@V200V204Iais_symbol_free_var_in_fo_termV204V198FF
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VC for free_var_equivalence_of_rename_fo_term_list
a=arename_fo_term_listV205V206V208arename_fo_term_listV205V207V209Ia=a@V208V210a@V209V210Iais_fo_term_free_var_in_fo_term_listV210V205FIa=a@V206V211a@V207V211Iais_symbol_free_var_in_fo_term_listV211V205FF
a=arename_fo_termV212V213V215arename_fo_termV212V214V216Ia=asubst_fo_termV212V220V218asubst_fo_termV212V219V217Aa=a@V218V221a@V217V221Iais_fo_term_free_var_in_fo_termV221V212FAa=a@V220V222a@V219V222Iais_symbol_free_var_in_fo_termV222V212FLasubst_of_rename_symbolV213Lasubst_of_rename_symbolV214Lasubst_of_rename_fo_termV215Lasubst_of_rename_fo_termV216Ia=a@V215V223a@V216V223Iais_fo_term_free_var_in_fo_termV223V212FAa=a@V213V224a@V214V224Iais_symbol_free_var_in_fo_termV224V212FF
VC for free_var_equivalence_of_rename_fo_term
a=arename_fo_termV212V213V215arename_fo_termV212V214V216Ia=a@V215V217a@V216V217Iais_fo_term_free_var_in_fo_termV217V212FIa=a@V213V218a@V214V218Iais_symbol_free_var_in_fo_termV218V212FF
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a=asubst_fo_termV224V229V227asubst_fo_termV224V228V226Larename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityLarename_subst_fo_termV222aidentityaidentityLarename_subst_fo_termV223aidentityaidentityIa=V219aFOConsV224V225FIa=asubst_fo_term_listV219V220V222asubst_fo_term_listV219V221V223F
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a=asubst_fo_term_listV225V233V231asubst_fo_term_listV225V232V230Larename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityLarename_subst_fo_termV222aidentityaidentityLarename_subst_fo_termV223aidentityaidentityIa=a@V222V234a@V223V234Iais_fo_term_free_var_in_fo_termV234V224FAa=a@V222V235a@V223V235Aa=arename_fo_termarename_fo_terma@V223V235aidentityaidentityaidentityaidentitya@V223V235Aa=arename_fo_termarename_fo_terma@V222V235aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V235aidentityaidentityaidentityaidentityAa=a@V222V235arename_fo_termarename_fo_terma@V222V235aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV235arename_fo_terma@V223V235aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV235aevalarename_subst_fo_termV223aidentityaidentityV235Aa=arename_fo_terma@V222V235aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV235Iais_fo_term_free_var_in_fo_termV235V224FIa=a@V220V236a@V221V236Iais_symbol_free_var_in_fo_term
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a=a@V222V234a@V223V234Iais_fo_term_free_var_in_fo_term_listV234V225FAa=a@V222V235a@V223V235Aa=arename_fo_termarename_fo_terma@V223V235aidentityaidentityaidentityaidentitya@V223V235Aa=arename_fo_termarename_fo_terma@V222V235aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V235aidentityaidentityaidentityaidentityAa=a@V222V235arename_fo_termarename_fo_terma@V222V235aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV235arename_fo_terma@V223V235aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV235aevalarename_subst_fo_termV223aidentityaidentityV235Aa=arename_fo_terma@V222V235aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV235Iais_fo_term_free_var_in_fo_term_listV235V225FIa=a@V220V236a@V221V236Iais_symbol_free_var_in_fo_term_listV236V225FAa=a@V220V237a@V221V237Aa=arename_symbolarename_symbola@V221V237aidentityaidentitya@V221V237Aa=arename_symbolarename_symbola@V220V237aidentityaidentityarename_symbolarename_symbola@V221
a=a@V220V224a@V221V224Iais_symbol_free_var_in_fo_term_listV224V219FICtaFONila=a@V222V227a@V223V227Iais_fo_term_free_var_in_fo_term_listV227V226FAa=a@V222V228a@V223V228Aa=arename_fo_termarename_fo_terma@V223V228aidentityaidentityaidentityaidentitya@V223V228Aa=arename_fo_termarename_fo_terma@V222V228aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V228aidentityaidentityaidentityaidentityAa=a@V222V228arename_fo_termarename_fo_terma@V222V228aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV228arename_fo_terma@V223V228aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV228aevalarename_subst_fo_termV223aidentityaidentityV228Aa=arename_fo_terma@V222V228aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV228Iais_fo_term_free_var_in_fo_term_listV228V226FAa=a@V220V229a@V221V229Iais_symbol_free_var_in_fo_term_listV229V226FAa=a@V220V230a@V221V230Aa=arename_symbolarename_symbola@V221V230aidentityaidentitya@V221V230Aa=arename_symbol
a=a@V222V224a@V223V224Iais_fo_term_free_var_in_fo_term_listV224V219FIa=a@V220V225a@V221V225Iais_symbol_free_var_in_fo_term_listV225V219FICtaFONila=a@V222V228a@V223V228Iais_fo_term_free_var_in_fo_term_listV228V227FAa=a@V222V229a@V223V229Aa=arename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentitya@V223V229Aa=arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentityAa=a@V222V229arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV229arename_fo_terma@V223V229aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV229aevalarename_subst_fo_termV223aidentityaidentityV229Aa=arename_fo_terma@V222V229aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV229Iais_fo_term_free_var_in_fo_term_listV229V227FAa=a@V220V230a@V221V230Iais_symbol_free_var_in_fo_term_listV230V227FAa=a@V220V231a@V221V231Aa=arename_symbol
a=a@V222V224a@V223V224Iais_fo_term_free_var_in_fo_term_listV224V219FAa=a@V220V225a@V221V225Iais_symbol_free_var_in_fo_term_listV225V219FICtaFONila=a@V222V228a@V223V228Iais_fo_term_free_var_in_fo_term_listV228V227FAa=a@V222V229a@V223V229Aa=arename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentitya@V223V229Aa=arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentityAa=a@V222V229arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV229arename_fo_terma@V223V229aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV229aevalarename_subst_fo_termV223aidentityaidentityV229Aa=arename_fo_terma@V222V229aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV229Iais_fo_term_free_var_in_fo_term_listV229V227FAa=a@V220V230a@V221V230Iais_symbol_free_var_in_fo_term_listV230V227FAa=a@V220V231a@V221V231Aa=arename_symbol
VC for free_var_derive_equivalence_of_subst_fo_term_list
a=asubst_symbolV224V227asubst_symbolV224V226Larename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityIa=V219aAppV224V225FIa=asubst_fo_termV219V220V222asubst_fo_termV219V221V223F
a=a@V220V228a@V221V228Iais_symbol_free_var_in_symbolV228V224FAa=a@V220V229a@V221V229Aa=arename_symbolarename_symbola@V221V229aidentityaidentitya@V221V229Aa=arename_symbolarename_symbola@V220V229aidentityaidentityarename_symbolarename_symbola@V221V229aidentityaidentityAa=a@V220V229arename_symbolarename_symbola@V220V229aidentityaidentityAa=aevalarename_subst_symbolV221aidentityV229arename_symbola@V221V229aidentityAa=aevalarename_subst_symbolV220aidentityV229aevalarename_subst_symbolV221aidentityV229Aa=arename_symbola@V220V229aidentityaevalarename_subst_symbolV220aidentityV229Iais_symbol_free_var_in_symbolV229V224FIa=a@V227V230a@V226V230Iais_symbol_free_var_in_symbolV230V224FLarename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityIa=V219aAppV224V225FIa=asubst_fo_termV219V220V222asubst_fo_termV219V221V223F
a<asize_fo_term_listV225asize_fo_termV219Aa<=c0asize_fo_termV219Larename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityLarename_subst_fo_termV222aidentityaidentityLarename_subst_fo_termV223aidentityaidentityIa=a@V220V232a@V221V232Iais_symbol_free_var_in_symbolV232V224FAa=a@V220V233a@V221V233Aa=arename_symbolarename_symbola@V221V233aidentityaidentitya@V221V233Aa=arename_symbolarename_symbola@V220V233aidentityaidentityarename_symbolarename_symbola@V221V233aidentityaidentityAa=a@V220V233arename_symbolarename_symbola@V220V233aidentityaidentityAa=aevalarename_subst_symbolV221aidentityV233arename_symbola@V221V233aidentityAa=aevalarename_subst_symbolV220aidentityV233aevalarename_subst_symbolV221aidentityV233Aa=arename_symbola@V220V233aidentityaevalarename_subst_symbolV220aidentityV233Iais_symbol_free_var_in_symbolV233V224FIa=a@V227V234a@V226V234Iais_symbol_free_var_in_symbolV234V224FLarename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityIa=V219aAppV224V225FIa=asubst_fo_termV219V220V222asubst_fo_term
a=asubst_fo_term_listV225V231V229asubst_fo_term_listV225V230V228Larename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityLarename_subst_fo_termV222aidentityaidentityLarename_subst_fo_termV223aidentityaidentityIa=a@V220V232a@V221V232Iais_symbol_free_var_in_symbolV232V224FAa=a@V220V233a@V221V233Aa=arename_symbolarename_symbola@V221V233aidentityaidentitya@V221V233Aa=arename_symbolarename_symbola@V220V233aidentityaidentityarename_symbolarename_symbola@V221V233aidentityaidentityAa=a@V220V233arename_symbolarename_symbola@V220V233aidentityaidentityAa=aevalarename_subst_symbolV221aidentityV233arename_symbola@V221V233aidentityAa=aevalarename_subst_symbolV220aidentityV233aevalarename_subst_symbolV221aidentityV233Aa=arename_symbola@V220V233aidentityaevalarename_subst_symbolV220aidentityV233Iais_symbol_free_var_in_symbolV233V224FIa=a@V227V234a@V226V234Iais_symbol_free_var_in_symbolV234V224FLarename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityIa=V219aAppV224V225FIa=asubst_fo_termV219V220V222asubst_fo_term
a=a@V220V232a@V221V232Iais_symbol_free_var_in_fo_term_listV232V225FAa=a@V220V233a@V221V233Aa=arename_symbolarename_symbola@V221V233aidentityaidentitya@V221V233Aa=arename_symbolarename_symbola@V220V233aidentityaidentityarename_symbolarename_symbola@V221V233aidentityaidentityAa=a@V220V233arename_symbolarename_symbola@V220V233aidentityaidentityAa=aevalarename_subst_symbolV221aidentityV233arename_symbola@V221V233aidentityAa=aevalarename_subst_symbolV220aidentityV233aevalarename_subst_symbolV221aidentityV233Aa=arename_symbola@V220V233aidentityaevalarename_subst_symbolV220aidentityV233Iais_symbol_free_var_in_fo_term_listV233V225FIa=a@V229V234a@V228V234Iais_fo_term_free_var_in_fo_term_listV234V225FAa=a@V231V235a@V230V235Iais_symbol_free_var_in_fo_term_listV235V225FLarename_subst_symbolV220aidentityLarename_subst_symbolV221aidentityLarename_subst_fo_termV222aidentityaidentityLarename_subst_fo_termV223aidentityaidentityIa=a@V220V236a@V221V236Iais_symbol_free_var_in_symbolV236V224FAa=a@V220V237a@V221V237Aa=arename_symbol
a=a@V222V232a@V223V232Iais_fo_term_free_var_in_fo_term_listV232V225FAa=a@V222V233a@V223V233Aa=arename_fo_termarename_fo_terma@V223V233aidentityaidentityaidentityaidentitya@V223V233Aa=arename_fo_termarename_fo_terma@V222V233aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V233aidentityaidentityaidentityaidentityAa=a@V222V233arename_fo_termarename_fo_terma@V222V233aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV233arename_fo_terma@V223V233aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV233aevalarename_subst_fo_termV223aidentityaidentityV233Aa=arename_fo_terma@V222V233aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV233Iais_fo_term_free_var_in_fo_term_listV233V225FIa=a@V220V234a@V221V234Iais_symbol_free_var_in_fo_term_listV234V225FAa=a@V220V235a@V221V235Aa=arename_symbolarename_symbola@V221V235aidentityaidentitya@V221V235Aa=arename_symbolarename_symbola@V220V235aidentityaidentityarename_symbolarename_symbola@V221
a=a@V220V224a@V221V224Iais_symbol_free_var_in_fo_termV224V219FICtaVar_fo_termVa=a@V222V228a@V223V228Iais_fo_term_free_var_in_fo_term_listV228V227FAa=a@V222V229a@V223V229Aa=arename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentitya@V223V229Aa=arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V229aidentityaidentityaidentityaidentityAa=a@V222V229arename_fo_termarename_fo_terma@V222V229aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV229arename_fo_terma@V223V229aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV229aevalarename_subst_fo_termV223aidentityaidentityV229Aa=arename_fo_terma@V222V229aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV229Iais_fo_term_free_var_in_fo_term_listV229V227FAa=a@V220V230a@V221V230Iais_symbol_free_var_in_fo_term_listV230V227FAa=a@V220V231a@V221V231Aa=arename_symbolarename_symbola@V221V231aidentityaidentitya@V221V231Aa=arename_symbol
a=a@V222V224a@V223V224Iais_fo_term_free_var_in_fo_termV224V219FIa=a@V220V225a@V221V225Iais_symbol_free_var_in_fo_termV225V219FICtaVar_fo_termVa=a@V222V229a@V223V229Iais_fo_term_free_var_in_fo_term_listV229V228FAa=a@V222V230a@V223V230Aa=arename_fo_termarename_fo_terma@V223V230aidentityaidentityaidentityaidentitya@V223V230Aa=arename_fo_termarename_fo_terma@V222V230aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V230aidentityaidentityaidentityaidentityAa=a@V222V230arename_fo_termarename_fo_terma@V222V230aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV230arename_fo_terma@V223V230aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV230aevalarename_subst_fo_termV223aidentityaidentityV230Aa=arename_fo_terma@V222V230aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV230Iais_fo_term_free_var_in_fo_term_listV230V228FAa=a@V220V231a@V221V231Iais_symbol_free_var_in_fo_term_listV231V228FAa=a@V220V232a@V221V232Aa=arename_symbola
a=a@V222V224a@V223V224Iais_fo_term_free_var_in_fo_termV224V219FAa=a@V220V225a@V221V225Iais_symbol_free_var_in_fo_termV225V219FICtaVar_fo_termVa=a@V222V229a@V223V229Iais_fo_term_free_var_in_fo_term_listV229V228FAa=a@V222V230a@V223V230Aa=arename_fo_termarename_fo_terma@V223V230aidentityaidentityaidentityaidentitya@V223V230Aa=arename_fo_termarename_fo_terma@V222V230aidentityaidentityaidentityaidentityarename_fo_termarename_fo_terma@V223V230aidentityaidentityaidentityaidentityAa=a@V222V230arename_fo_termarename_fo_terma@V222V230aidentityaidentityaidentityaidentityAa=aevalarename_subst_fo_termV223aidentityaidentityV230arename_fo_terma@V223V230aidentityaidentityAa=aevalarename_subst_fo_termV222aidentityaidentityV230aevalarename_subst_fo_termV223aidentityaidentityV230Aa=arename_fo_terma@V222V230aidentityaidentityaevalarename_subst_fo_termV222aidentityaidentityV230Iais_fo_term_free_var_in_fo_term_listV230V228FAa=a@V220V231a@V221V231Iais_symbol_free_var_in_fo_term_listV231V228FAa=a@V220V232a@V221V232Aa=arename_symbola
VC for free_var_derive_equivalence_of_subst_fo_term
a=a@V222V224a@V223V224Iais_fo_term_free_var_in_fo_term_listV224V219FAa=a@V220V225a@V221V225Iais_symbol_free_var_in_fo_term_listV225V219FIa=asubst_fo_term_listV219V220V222asubst_fo_term_listV219V221V223F
a=a@V229V231a@V230V231Iais_fo_term_free_var_in_fo_termV231V226FAa=a@V227V232a@V228V232Iais_symbol_free_var_in_fo_termV232V226FIa=asubst_fo_termV226V227V229asubst_fo_termV226V228V230F
a=asubst_fo_term_listV233V241V239asubst_fo_term_listV233V240V238Lasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=a@V234V242a@V235V242Aa=a@V234V242a@V235V242Ia=a@asubst_of_rename_symbolV234V242a@asubst_of_rename_symbolV235V242FIa=a@V239V243a@V238V243Iais_fo_term_free_var_in_fo_term_listV243V233FAa=a@V241V244a@V240V244Iais_symbol_free_var_in_fo_term_listV244V233FLasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=a@V236V242a@V237V242Aa=a@V236V242a@V237V242Ia=a@asubst_of_rename_fo_termV236V242a@asubst_of_rename_fo_termV237V242FIa=a@V234V243a@V235V243Aa=a@V234V243a@V235V243Ia=a@asubst_of_rename_symbolV234V243a@asubst_of_rename_symbolV235V243FIa=a@V239V244a@V238V244Iais_fo_term_free_var_in_fo_term_listV244V233FAa=a@V241V245a@V240V245Iais_symbol_free_var_in_fo_term_listV245V233FLasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=a@V234V242a@V235V242Iais_symbol_free_var_in_fo_term_listV242V233FIa=a@V236V243a@V237V243Aa=a@V236V243a@V237V243Ia=a@asubst_of_rename_fo_termV236V243a@asubst_of_rename_fo_termV237V243FIa=a@V234V244a@V235V244Aa=a@V234V244a@V235V244Ia=a@asubst_of_rename_symbolV234V244a@asubst_of_rename_symbolV235V244FIa=a@V239V245a@V238V245Iais_fo_term_free_var_in_fo_term_listV245V233FAa=a@V241V246a@V240V246Iais_symbol_free_var_in_fo_term_listV246V233FLasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=a@V236V242a@V237V242Iais_fo_term_free_var_in_fo_term_listV242V233FIa=a@V234V243a@V235V243Iais_symbol_free_var_in_fo_term_listV243V233FIa=a@V236V244a@V237V244Aa=a@V236V244a@V237V244Ia=a@asubst_of_rename_fo_termV236V244a@asubst_of_rename_fo_termV237V244FIa=a@V234V245a@V235V245Aa=a@V234V245a@V235V245Ia=a@asubst_of_rename_symbolV234V245a@asubst_of_rename_symbolV235V245FIa=a@V239V246a@V238V246Iais_fo_term_free_var_in_fo_term_listV246V233FAa=a@V241V247a@V240V247Iais_symbol_free_var_in_fo_term_listV247V233FLasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=a@V236V242a@V237V242Iais_fo_term_free_var_in_fo_term_listV242V233FAa=a@V234V243a@V235V243Iais_symbol_free_var_in_fo_term_listV243V233FAa=a@V236V244a@V237V244Aa=a@V236V244a@V237V244Ia=a@asubst_of_rename_fo_termV236V244a@asubst_of_rename_fo_termV237V244FAa=a@V234V245a@V235V245Aa=a@V234V245a@V235V245Ia=a@asubst_of_rename_symbolV234V245a@asubst_of_rename_symbolV235V245FIa=a@V239V246a@V238V246Iais_fo_term_free_var_in_fo_term_listV246V233FAa=a@V241V247a@V240V247Iais_symbol_free_var_in_fo_term_listV247V233FAa=asubst_fo_term_listV233V241V239asubst_fo_term_listV233V240V238Lasubst_of_rename_symbolV234Lasubst_of_rename_symbolV235Lasubst_of_rename_fo_termV236Lasubst_of_rename_fo_termV237Ia=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
VC for free_var_derive_equivalence_of_rename_fo_term_list
a=a@V236V238a@V237V238Iais_fo_term_free_var_in_fo_term_listV238V233FAa=a@V234V239a@V235V239Iais_symbol_free_var_in_fo_term_listV239V233FIa=arename_fo_term_listV233V234V236arename_fo_term_listV233V235V237F
a=asubst_fo_termV240V248V246asubst_fo_termV240V247V245Lasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
a=a@V241V249a@V242V249Aa=a@V241V249a@V242V249Ia=a@asubst_of_rename_symbolV241V249a@asubst_of_rename_symbolV242V249FIa=a@V246V250a@V245V250Iais_fo_term_free_var_in_fo_termV250V240FAa=a@V248V251a@V247V251Iais_symbol_free_var_in_fo_termV251V240FLasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
a=a@V243V249a@V244V249Aa=a@V243V249a@V244V249Ia=a@asubst_of_rename_fo_termV243V249a@asubst_of_rename_fo_termV244V249FIa=a@V241V250a@V242V250Aa=a@V241V250a@V242V250Ia=a@asubst_of_rename_symbolV241V250a@asubst_of_rename_symbolV242V250FIa=a@V246V251a@V245V251Iais_fo_term_free_var_in_fo_termV251V240FAa=a@V248V252a@V247V252Iais_symbol_free_var_in_fo_termV252V240FLasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
a=a@V241V249a@V242V249Iais_symbol_free_var_in_fo_termV249V240FIa=a@V243V250a@V244V250Aa=a@V243V250a@V244V250Ia=a@asubst_of_rename_fo_termV243V250a@asubst_of_rename_fo_termV244V250FIa=a@V241V251a@V242V251Aa=a@V241V251a@V242V251Ia=a@asubst_of_rename_symbolV241V251a@asubst_of_rename_symbolV242V251FIa=a@V246V252a@V245V252Iais_fo_term_free_var_in_fo_termV252V240FAa=a@V248V253a@V247V253Iais_symbol_free_var_in_fo_termV253V240FLasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
a=a@V243V249a@V244V249Iais_fo_term_free_var_in_fo_termV249V240FIa=a@V241V250a@V242V250Iais_symbol_free_var_in_fo_termV250V240FIa=a@V243V251a@V244V251Aa=a@V243V251a@V244V251Ia=a@asubst_of_rename_fo_termV243V251a@asubst_of_rename_fo_termV244V251FIa=a@V241V252a@V242V252Aa=a@V241V252a@V242V252Ia=a@asubst_of_rename_symbolV241V252a@asubst_of_rename_symbolV242V252FIa=a@V246V253a@V245V253Iais_fo_term_free_var_in_fo_termV253V240FAa=a@V248V254a@V247V254Iais_symbol_free_var_in_fo_termV254V240FLasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
a=a@V243V249a@V244V249Iais_fo_term_free_var_in_fo_termV249V240FAa=a@V241V250a@V242V250Iais_symbol_free_var_in_fo_termV250V240FAa=a@V243V251a@V244V251Aa=a@V243V251a@V244V251Ia=a@asubst_of_rename_fo_termV243V251a@asubst_of_rename_fo_termV244V251FAa=a@V241V252a@V242V252Aa=a@V241V252a@V242V252Ia=a@asubst_of_rename_symbolV241V252a@asubst_of_rename_symbolV242V252FIa=a@V246V253a@V245V253Iais_fo_term_free_var_in_fo_termV253V240FAa=a@V248V254a@V247V254Iais_symbol_free_var_in_fo_termV254V240FAa=asubst_fo_termV240V248V246asubst_fo_termV240V247V245Lasubst_of_rename_symbolV241Lasubst_of_rename_symbolV242Lasubst_of_rename_fo_termV243Lasubst_of_rename_fo_termV244Ia=arename_fo_termV240V241V243arename_fo_termV240V242V244F
VC for free_var_derive_equivalence_of_rename_fo_term

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1f6d8f194f4a3e135372ef0e69b5602d 61H250H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
1d773041ddcb78624b6165ee0d88d9c8 61H251H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
3f057c9bbaac7c62b0b1ca13a8a189fa 261H260H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
6efa99c2614af547646872aba75712d8 114H255H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
191ebc7d1bedd2238fabe1cdb7c42bf6 57H256H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
fbf872726203222777812607ef3afd4b 57H257H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
7819399f2e63c61b35668f978817bca3 61H258H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
0e58d6ab93dfd11cdea39db786055929 61H259H254H246H245H222H219H216H215H202H201H200H199H198H197H180H179H178H177H150H149H148H147H138H137H136H135H109H108H103H100H97H96H91H88H80H79H76H75H64H55H52H49H46H45H44H39H38H33H30H27H24H21H18H17H16H11H10H5H4
