a=a@asemantic_substV0V1V2V3aterm_semantica@V0V3V1V2F
a=amodel_renameaidentityV4V4F
empty_shape
a=aterm_semanticasubst_fo_termV5arcomposeV8asubst_id_symbolV9V6V7aterm_semanticV5amodel_renameV8V6asemantic_substV9V6V7ICtaVar_fo_termVa=a@aevalainterp_funV6a@V8V11V15a@aevalainterp_funV14V11V15Laterm_list_semanticV12V14asemantic_substV9V6V7Lamodel_renameV8V6Aa=asubst_fo_termV5V13V9aAppaVar_symbola@V8V11asubst_fo_term_listV12V13V9LarcomposeV8asubst_id_symbolAa=aterm_list_semanticasubst_fo_term_listV12arcomposeV8asubst_id_symbolV9V6V7aterm_list_semanticV12amodel_renameV8V6asemantic_substV9V6V7aAppaVar_symbolVVV5ACtaVar_fo_termVa=a@aevalainterp_funV6a@V8V17V21a@aevalainterp_funV20V17V21Laterm_list_semanticV18V20asemantic_substV9V6V7Lamodel_renameV8V6Ia=asubst_fo_termV5V19V9aAppaVar_symbola@V8V17asubst_fo_term_listV18V19V9Aa=asubst_fo_termV5V19V9aAppaVar_symbola@V8V17asubst_fo_term_listV18V19V9LarcomposeV8asubst_id_symbolIa=aterm_list_semanticasubst_fo_term_listV18arcomposeV8asubst_id_symbolV9V6V7aterm_list_semanticV18amodel_renameV8V6asemantic_substV9V6V7Aa<asize_fo_term_listV18asize_fo_termV5Aa<=c0asize_fo_term
VC for term_semantic_subst_commutation
a=aterm_list_semanticasubst_fo_term_listV5arcomposeV8asubst_id_symbolV9V6V7aterm_list_semanticV5amodel_renameV8V6asemantic_substV9V6V7ICtaFONila=aterm_list_semanticasubst_fo_term_listV11arcomposeV8asubst_id_symbolV9V6V7aterm_list_semanticV11amodel_renameV8V6asemantic_substV9V6V7Aa=aterm_semanticasubst_fo_termV10arcomposeV8asubst_id_symbolV9V6V7aterm_semanticV10amodel_renameV8V6asemantic_substV9V6V7aFOConsVVV5ACtaFONila<asize_fo_term_listV13asize_fo_term_listV5Aa<=c0asize_fo_term_listV5Ia=aterm_semanticasubst_fo_termV12arcomposeV8asubst_id_symbolV9V6V7aterm_semanticV12amodel_renameV8V6asemantic_substV9V6V7Aa<asize_fo_termV12asize_fo_term_listV5Aa<=c0asize_fo_term_listV5aFOConsVVV5F
VC for term_list_semantic_subst_commutation
a=aterm_semanticasubst_fo_termV5arcomposeV8asubst_id_symbolV9V6V7aterm_semanticV5amodel_renameV8V6asemantic_substV9V6V7F
a=aterm_list_semanticasubst_fo_term_listV10arcomposeV13asubst_id_symbolV14V11V12aterm_list_semanticV10amodel_renameV13V11asemantic_substV14V11V12F
a=aterm_list_semanticarename_fo_term_listV15V18V19V16V17aterm_list_semanticV15amodel_renameV18V16arcomposeV19V17Aa=V20V21AaextensionalEqualV20V21Lasemantic_substarcomposeV19asubst_id_fo_termV16V17LarcomposeV19V17F
VC for term_list_semantic_rename_commutation
a=aterm_list_semanticarename_fo_term_listV15V18V19V16V17aterm_list_semanticV15amodel_renameV18V16arcomposeV19V17F
a=aterm_semanticarename_fo_termV20V23V24V21V22aterm_semanticV20amodel_renameV23V21arcomposeV24V22AaextensionalEqualarcomposeV24V22asemantic_substasubst_of_rename_fo_termV24V21V22F
VC for term_semantic_rename_commutation
a=aterm_semanticarename_fo_termV20V23V24V21V22aterm_semanticV20amodel_renameV23V21arcomposeV24V22F
a=asemantic_substaolifts_fo_termV25V27aocaseV26V28aocaseasemantic_substV25V27V26V28AaextensionalEqualV29V30Aa=a@V29V31a@V30V31ACa=a@V29aNonea@V30aNoneaNonea=a@V29aSomeV32a@V30aSomeV32aSomeVV31FLaocaseasemantic_substV25V27V26V28Lasemantic_substaolifts_fo_termV25V27aocaseV26V28F
VC for semantic_lifting_commutation
a=asemantic_substaolifts_fo_termV25V27aocaseV26V28aocaseasemantic_substV25V27V26V28F
a<asize_fo_formulaV39asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Laolifts_fo_termV37Ia=V34aForallV39FLarcomposeV36asubst_id_symbolFF
variant decrease
a=asubst_fo_formulaV34V38V37aForallasubst_fo_formulaV39V38V40Iaformula_semanticV39amodel_renameV36V35asemantic_substV40V35V41qaformula_semanticasubst_fo_formulaV39arcomposeV36asubst_id_symbolV40V35V41FLaolifts_fo_termV37Ia=V34aForallV39FLarcomposeV36asubst_id_symbolFF
assertion
a<asize_fo_formulaV39asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Laolifts_fo_termV37Ia=V34aExistsV39FLarcomposeV36asubst_id_symbolFF
a=asubst_fo_formulaV34V38V37aExistsasubst_fo_formulaV39V38V40Iaformula_semanticV39amodel_renameV36V35asemantic_substV40V35V41qaformula_semanticasubst_fo_formulaV39arcomposeV36asubst_id_symbolV40V35V41FLaolifts_fo_termV37Ia=V34aExistsV39FLarcomposeV36asubst_id_symbolFF
a<asize_fo_formulaV39asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Ia=V34aAndV39V40FLarcomposeV36asubst_id_symbolFF
a<asize_fo_formulaV40asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Iaformula_semanticV39amodel_renameV36V35asemantic_substV37V35V41qaformula_semanticasubst_fo_formulaV39arcomposeV36asubst_id_symbolV37V35V41FIa=V34aAndV39V40FLarcomposeV36asubst_id_symbolFF
a<asize_fo_formulaV39asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Ia=V34aOrV39V40FLarcomposeV36asubst_id_symbolFF
a<asize_fo_formulaV40asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Iaformula_semanticV39amodel_renameV36V35asemantic_substV37V35V41qaformula_semanticasubst_fo_formulaV39arcomposeV36asubst_id_symbolV37V35V41FIa=V34aOrV39V40FLarcomposeV36asubst_id_symbolFF
a<asize_fo_formulaV39asize_fo_formulaV34Aa<=c0asize_fo_formulaV34Ia=V34aNotV39FLarcomposeV36asubst_id_symbolFF
a=asubst_fo_formulaV34V38V37aNotasubst_fo_formulaV39V38V37Iaformula_semanticV39amodel_renameV36V35asemantic_substV37V35V40qaformula_semanticasubst_fo_formulaV39arcomposeV36asubst_id_symbolV37V35V40FIa=V34aNotV39FLarcomposeV36asubst_id_symbolFF
a=V43aPAppaVar_symbola@V36V41V42Lasubst_fo_formulaV34V38V37Lasubst_fo_term_listV40V38V37Ia=V39aVar_symbolV41FIa=V34aPAppV39V40FLarcomposeV36asubst_id_symbolFF
aformula_semanticV43V35V45qaformula_semanticV34V44V46Aa=a@aevalainterp_predV35a@V36V41V48aTrueqaformula_semanticV43V35V45Aa=a@aevalainterp_predV44V41V47aTrueqaformula_semanticV34V44V46Aa=V47V48Laterm_list_semanticV42V35V45Laterm_list_semanticV40V44V46Lasemantic_substV37V35V45FLamodel_renameV36V35Ia=V43aPAppaVar_symbola@V36V41V42Lasubst_fo_formulaV34V38V37Lasubst_fo_term_listV40V38V37Ia=V39aVar_symbolV41FIa=V34aPAppV39V40FLarcomposeV36asubst_id_symbolFF
aformula_semanticV34amodel_renameV36V35asemantic_substV37V35V39qaformula_semanticasubst_fo_formulaV34arcomposeV36asubst_id_symbolV37V35V39FICa=asubst_fo_formulaV34V38V37aForallasubst_fo_formulaV40V38V41Aaformula_semanticV40amodel_renameV36V35asemantic_substV41V35V42qaformula_semanticasubst_fo_formulaV40arcomposeV36asubst_id_symbolV41V35V42FLaolifts_fo_termV37aForallVa=asubst_fo_formulaV34V38V37aExistsasubst_fo_formulaV43V38V44Aaformula_semanticV43amodel_renameV36V35asemantic_substV44V35V45qaformula_semanticasubst_fo_formulaV43arcomposeV36asubst_id_symbolV44V35V45FLaolifts_fo_termV37aExistsVaformula_semanticV47amodel_renameV36V35asemantic_substV37V35V48qaformula_semanticasubst_fo_formulaV47arcomposeV36asubst_id_symbolV37V35V48FAaformula_semanticV46amodel_renameV36V35asemantic_substV37V35V49qaformula_semanticasubst_fo_formulaV46arcomposeV36asubst_id_symbolV37V35V49FaAndVVaformula_semanticV51amodel_renameV36V35asemantic_substV37V35V52qaformula_semanticasubst_fo_formulaV51arcomposeV36asubst_id_symbolV37V35V52FAaformula_semantic
postcondition
aformula_semanticV29amodel_renameV31V30asemantic_substV32V30V33qaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V33Iaformula_semanticV29amodel_renameV31V30asemantic_substV32V30V34qaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V34FF
aformula_semanticV29amodel_renameV31V30asemantic_substV32V30V33qaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V33Iaformula_semanticV29amodel_renameV31V30asemantic_substV32V30V34qaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V34FAaformula_semanticV35amodel_renameV37V36asemantic_substV38V36V40qaformula_semanticasubst_fo_formulaV35arcomposeV37asubst_id_symbolV38V36V40FICa=asubst_fo_formulaV35V39V38aForallasubst_fo_formulaV41V39V42Aaformula_semanticV41amodel_renameV37V36asemantic_substV42V36V43qaformula_semanticasubst_fo_formulaV41arcomposeV37asubst_id_symbolV42V36V43FLaolifts_fo_termV38aForallVa=asubst_fo_formulaV35V39V38aExistsasubst_fo_formulaV44V39V45Aaformula_semanticV44amodel_renameV37V36asemantic_substV45V36V46qaformula_semanticasubst_fo_formulaV44arcomposeV37asubst_id_symbolV45V36V46FLaolifts_fo_termV38aExistsVaformula_semanticV48amodel_renameV37V36asemantic_substV38V36V49qaformula_semanticasubst_fo_formulaV48arcomposeV37asubst_id_symbolV38V36V49FAaformula_semantic
VC for formula_semantic_subst_commutation
aformula_semanticV29amodel_renameV31V30asemantic_substV32V30V33qaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V33F
a=arename_fo_formulaV34V36V37asubst_fo_formulaV34arcomposeV36asubst_id_symbolV39LarcomposeV37asubst_id_fo_termF
a=V40V41AaextensionalEqualV40V41Lasemantic_substV39V35V38LarcomposeV37V38Ia=arename_fo_formulaV34V36V37asubst_fo_formulaV34arcomposeV36asubst_id_symbolV39LarcomposeV37asubst_id_fo_termF
aformula_semanticV34amodel_renameV36V35arcomposeV37V38qaformula_semanticarename_fo_formulaV34V36V37V35V38Ia=V40V41AaextensionalEqualV40V41Lasemantic_substV39V35V38LarcomposeV37V38Ia=arename_fo_formulaV34V36V37asubst_fo_formulaV34arcomposeV36asubst_id_symbolV39LarcomposeV37asubst_id_fo_termF
aformula_semanticV34amodel_renameV36V35arcomposeV37V38qaformula_semanticarename_fo_formulaV34V36V37V35V38Aa=V40V41AaextensionalEqualV40V41Lasemantic_substV39V35V38LarcomposeV37V38Aa=arename_fo_formulaV34V36V37asubst_fo_formulaV34arcomposeV36asubst_id_symbolV39LarcomposeV37asubst_id_fo_termF
VC for formula_semantic_rename_commutation
aformula_semanticV34amodel_renameV36V35arcomposeV37V38qaformula_semanticarename_fo_formulaV34V36V37V35V38F
aformula_semanticV39V40asemantic_substV41V40V42qaformula_semanticasubst_fo_formulaV39asubst_id_symbolV41V40V42Aaformula_semanticV39amodel_renameaidentityV40asemantic_substV41V40V42qaformula_semanticasubst_fo_formulaV39arcomposeaidentityasubst_id_symbolV41V40V42F
VC for formula_semantic_term_subst_commutation
aformula_semanticV39V40asemantic_substV41V40V42qaformula_semanticasubst_fo_formulaV39asubst_id_symbolV41V40V42F
aformula_semanticV43V44arcomposeV45V46qaformula_semanticarename_fo_formulaV43aidentityV45V44V46F
VC for formula_semantic_term_rename_commutation
aformula_list_conj_semanticV47amodel_renameV49V48asemantic_substV50V48V51qaformula_list_conj_semanticasubst_fo_formula_listV47arcomposeV49asubst_id_symbolV50V48V51ICtaFOFNilaformula_list_conj_semanticV52amodel_renameV49V48asemantic_substV50V48V51qaformula_list_conj_semanticasubst_fo_formula_listV52arcomposeV49asubst_id_symbolV50V48V51aFOFConswVV47ACtaFOFNila<asize_fo_formula_listV53asize_fo_formula_listV47Aa<=c0asize_fo_formula_listV47aFOFConswVV47F
VC for formula_list_conj_semantic_subst_commutation
aformula_list_conj_semanticV47amodel_renameV49V48asemantic_substV50V48V51qaformula_list_conj_semanticasubst_fo_formula_listV47arcomposeV49asubst_id_symbolV50V48V51F
aformula_list_disj_semanticV52amodel_renameV54V53asemantic_substV55V53V56qaformula_list_disj_semanticasubst_fo_formula_listV52arcomposeV54asubst_id_symbolV55V53V56ICtaFOFNilaformula_list_disj_semanticV57amodel_renameV54V53asemantic_substV55V53V56qaformula_list_disj_semanticasubst_fo_formula_listV57arcomposeV54asubst_id_symbolV55V53V56aFOFConswVV52ACtaFOFNila<asize_fo_formula_listV58asize_fo_formula_listV52Aa<=c0asize_fo_formula_listV52aFOFConswVV52F
VC for formula_list_disj_semantic_subst_commutation
aformula_list_disj_semanticV52amodel_renameV54V53asemantic_substV55V53V56qaformula_list_disj_semanticasubst_fo_formula_listV52arcomposeV54asubst_id_symbolV55V53V56F
aformula_list_conj_semanticV57V58asemantic_substV59V58V60qaformula_list_conj_semanticasubst_fo_formula_listV57asubst_id_symbolV59V58V60Iaformula_list_conj_semanticV57amodel_renameV61V58asemantic_substV59V58V60qaformula_list_conj_semanticasubst_fo_formula_listV57arcomposeV61asubst_id_symbolV59V58V60LaidentityF
VC for formula_list_conj_semantic_term_subst_commutation
aformula_list_conj_semanticV57V58asemantic_substV59V58V60qaformula_list_conj_semanticasubst_fo_formula_listV57asubst_id_symbolV59V58V60F
aformula_list_disj_semanticV61V62asemantic_substV63V62V64qaformula_list_disj_semanticasubst_fo_formula_listV61asubst_id_symbolV63V62V64Iaformula_list_disj_semanticV61amodel_renameV65V62asemantic_substV63V62V64qaformula_list_disj_semanticasubst_fo_formula_listV61arcomposeV65asubst_id_symbolV63V62V64LaidentityF
VC for formula_list_disj_semantic_term_subst_commutation
aformula_list_disj_semanticV61V62asemantic_substV63V62V64qaformula_list_disj_semanticasubst_fo_formula_listV61asubst_id_symbolV63V62V64F
atableau_semantic_withV65V67amodel_renameV68V66asemantic_substV69V66V70qatableau_semantic_withasubst_tableauV65arcomposeV68asubst_id_symbolV69V67V66V70ICtaRootatableau_semantic_withV71V75amodel_renameV68V66asemantic_substV69V66V70qatableau_semantic_withasubst_tableauV71arcomposeV68asubst_id_symbolV69V75V66V70LiaFalseaTrueatableau_nodeV67asubst_fo_formula_listV73V74V69asubst_fo_formulaV72V74V69V66V70LarcomposeV68asubst_id_symbolaNodeVVVV65ACtaRoota<asize_tableauV76asize_tableauV65Aa<=c0asize_tableauV65aNodeVVVV65F
VC for tableau_semantic_subst_commutation
atableau_semantic_withV65V67amodel_renameV68V66asemantic_substV69V66V70qatableau_semantic_withasubst_tableauV65arcomposeV68asubst_id_symbolV69V67V66V70F
atableau_semantic_withV71V72V73asemantic_substV74V73V75qatableau_semantic_withasubst_tableauV71asubst_id_symbolV74V72V73V75Iatableau_semantic_withV71V72amodel_renameV76V73asemantic_substV74V73V75qatableau_semantic_withasubst_tableauV71arcomposeV76asubst_id_symbolV74V72V73V75LaidentityF
VC for tableau_semantic_term_subst_commutation
aformula_semanticV29amodel_renameV31V30asemantic_substV32V30V33Iaformula_semanticasubst_fo_formulaV29arcomposeV31asubst_id_symbolV32V30V33F
aformula_semanticasubst_fo_formulaV34arcomposeV36asubst_id_symbolV37V35V38Iaformula_semanticV34amodel_renameV36V35asemantic_substV37V35V38F
aformula_semanticV39amodel_renameV41V40arcomposeV42V43Iaformula_semanticarename_fo_formulaV39V41V42V40V43F
aformula_semanticarename_fo_formulaV44V46V47V45V48Iaformula_semanticV44amodel_renameV46V45arcomposeV47V48F
aformula_semanticV49V50asemantic_substV51V50V52Iaformula_semanticasubst_fo_formulaV49asubst_id_symbolV51V50V52F
aformula_semanticasubst_fo_formulaV53asubst_id_symbolV55V54V56Iaformula_semanticV53V54asemantic_substV55V54V56F
aformula_semanticV57V58arcomposeV59V60Iaformula_semanticarename_fo_formulaV57aidentityV59V58V60F
aformula_semanticarename_fo_formulaV61aidentityV63V62V64Iaformula_semanticV61V62arcomposeV63V64F
aformula_list_conj_semanticV65amodel_renameV67V66asemantic_substV68V66V69Iaformula_list_conj_semanticasubst_fo_formula_listV65arcomposeV67asubst_id_symbolV68V66V69F
aformula_list_conj_semanticasubst_fo_formula_listV70arcomposeV72asubst_id_symbolV73V71V74Iaformula_list_conj_semanticV70amodel_renameV72V71asemantic_substV73V71V74F
aformula_list_disj_semanticV75amodel_renameV77V76asemantic_substV78V76V79Iaformula_list_disj_semanticasubst_fo_formula_listV75arcomposeV77asubst_id_symbolV78V76V79F
aformula_list_disj_semanticasubst_fo_formula_listV80arcomposeV82asubst_id_symbolV83V81V84Iaformula_list_disj_semanticV80amodel_renameV82V81asemantic_substV83V81V84F
aformula_list_conj_semanticV85V86asemantic_substV87V86V88Iaformula_list_conj_semanticasubst_fo_formula_listV85asubst_id_symbolV87V86V88F
aformula_list_conj_semanticasubst_fo_formula_listV89asubst_id_symbolV91V90V92Iaformula_list_conj_semanticV89V90asemantic_substV91V90V92F
aformula_list_disj_semanticV93V94asemantic_substV95V94V96Iaformula_list_disj_semanticasubst_fo_formula_listV93asubst_id_symbolV95V94V96F
aformula_list_disj_semanticasubst_fo_formula_listV97asubst_id_symbolV99V98V100Iaformula_list_disj_semanticV97V98asemantic_substV99V98V100F
atableau_semantic_withV101V103amodel_renameV104V102asemantic_substV105V102V106Iatableau_semantic_withasubst_tableauV101arcomposeV104asubst_id_symbolV105V103V102V106F
atableau_semantic_withasubst_tableauV107arcomposeV110asubst_id_symbolV111V109V108V112Iatableau_semantic_withV107V109amodel_renameV110V108asemantic_substV111V108V112F
atableau_semantic_withV113V114V115asemantic_substV116V115V117Iatableau_semantic_withasubst_tableauV113asubst_id_symbolV116V114V115V117F
atableau_semantic_withasubst_tableauV118asubst_id_symbolV121V119V120V122Iatableau_semantic_withV118V119V120asemantic_substV121V120V122F
a<asize_fo_term_listV129asize_fo_termV123Aa<=c0asize_fo_termV123Ia=V128aVar_symbolV130FIa=V123aAppV128V129FIa=a@V126V131a@V127V131Iais_fo_term_free_var_in_fo_termV131V123FAa=aevalainterp_predV124V132aevalainterp_predV125V132Aa=aevalainterp_funV124V132aevalainterp_funV125V132Iais_symbol_free_var_in_fo_termV132V123FF
a=aevalainterp_predV124V131aevalainterp_predV125V131Aa=aevalainterp_funV124V131aevalainterp_funV125V131Iais_symbol_free_var_in_fo_term_listV131V129FIa=V128aVar_symbolV130FIa=V123aAppV128V129FIa=a@V126V132a@V127V132Iais_fo_term_free_var_in_fo_termV132V123FAa=aevalainterp_predV124V133aevalainterp_predV125V133Aa=aevalainterp_funV124V133aevalainterp_funV125V133Iais_symbol_free_var_in_fo_termV133V123FF
precondition
a=a@V126V131a@V127V131Iais_fo_term_free_var_in_fo_term_listV131V129FIa=aevalainterp_predV124V132aevalainterp_predV125V132Aa=aevalainterp_funV124V132aevalainterp_funV125V132Iais_symbol_free_var_in_fo_term_listV132V129FIa=V128aVar_symbolV130FIa=V123aAppV128V129FIa=a@V126V133a@V127V133Iais_fo_term_free_var_in_fo_termV133V123FAa=aevalainterp_predV124V134aevalainterp_predV125V134Aa=aevalainterp_funV124V134aevalainterp_funV125V134Iais_symbol_free_var_in_fo_termV134V123FF
ais_symbol_free_var_in_fo_termV130V123Ia=aterm_list_semanticV129V124V126aterm_list_semanticV129V125V127Ia=V128aVar_symbolV130FIa=V123aAppV128V129FIa=a@V126V131a@V127V131Iais_fo_term_free_var_in_fo_termV131V123FAa=aevalainterp_predV124V132aevalainterp_predV125V132Aa=aevalainterp_funV124V132aevalainterp_funV125V132Iais_symbol_free_var_in_fo_termV132V123FF
a=aterm_semanticV123V124V126aterm_semanticV123V125V127Ia=V123aVar_fo_termV128EIa=a@V126V129a@V127V129Iais_fo_term_free_var_in_fo_termV129V123FAa=aevalainterp_predV124V130aevalainterp_predV125V130Aa=aevalainterp_funV124V130aevalainterp_funV125V130Iais_symbol_free_var_in_fo_termV130V123FF
a=aterm_semanticV123V124V126aterm_semanticV123V125V127Iais_symbol_free_var_in_fo_termV130V123Aa=aterm_list_semanticV129V124V126aterm_list_semanticV129V125V127Aa=V128aVar_symbolV130EAa=V123aAppV128V129EIa=a@V126V131a@V127V131Iais_fo_term_free_var_in_fo_termV131V123FAa=aevalainterp_predV124V132aevalainterp_predV125V132Aa=aevalainterp_funV124V132aevalainterp_funV125V132Iais_symbol_free_var_in_fo_termV132V123FF
atableau_semantic_withV71V72V73asemantic_substV74V73V75qatableau_semantic_withasubst_tableauV71asubst_id_symbolV74V72V73V75F
a=aterm_semanticV76V77V79aterm_semanticV76V78V80ICtaVar_fo_termVais_symbol_free_var_in_fo_termV82V76Aa=aterm_list_semanticV83V77V79aterm_list_semanticV83V78V80aAppaVar_symbolVVV76ACtaVar_fo_termVais_symbol_free_var_in_fo_termV85V76Ia=aterm_list_semanticV86V77V79aterm_list_semanticV86V78V80Aa=a@V79V87a@V80V87Iais_fo_term_free_var_in_fo_term_listV87V86FAa=aevalainterp_predV77V88aevalainterp_predV78V88Aa=aevalainterp_funV77V88aevalainterp_funV78V88Iais_symbol_free_var_in_fo_term_listV88V86FAa<asize_fo_term_listV86asize_fo_termV76Aa<=c0asize_fo_termV76aAppaVar_symbolVVV76Ia=a@V79V89a@V80V89Iais_fo_term_free_var_in_fo_termV89V76FAa=aevalainterp_predV77V90aevalainterp_predV78V90Aa=aevalainterp_funV77V90aevalainterp_funV78V90Iais_symbol_free_var_in_fo_termV90V76FF
VC for term_semantic_depend_only_free_var
a=aterm_list_semanticV76V77V79aterm_list_semanticV76V78V80ICtaFONila=aterm_list_semanticV82V77V79aterm_list_semanticV82V78V80Aa=aterm_semanticV81V77V79aterm_semanticV81V78V80aFOConsVVV76ACtaFONila=a@V79V85a@V80V85Iais_fo_term_free_var_in_fo_term_listV85V84FAa=aevalainterp_predV77V86aevalainterp_predV78V86Aa=aevalainterp_funV77V86aevalainterp_funV78V86Iais_symbol_free_var_in_fo_term_listV86V84FAa<asize_fo_term_listV84asize_fo_term_listV76Aa<=c0asize_fo_term_listV76Ia=aterm_semanticV83V77V79aterm_semanticV83V78V80Aa=a@V79V87a@V80V87Iais_fo_term_free_var_in_fo_termV87V83FAa=aevalainterp_predV77V88aevalainterp_predV78V88Aa=aevalainterp_funV77V88aevalainterp_funV78V88Iais_symbol_free_var_in_fo_termV88V83FAa<asize_fo_termV83asize_fo_term_listV76Aa<=c0asize_fo_term_listV76aFOConsVVV76Ia=a@V79V89a@V80V89Iais_fo_term_free_var_in_fo_term_listV89V76FAa=aevalainterp_predV77V90aevalainterp_predV78V90Aa=aevalainterp_funV77V90aevalainterp_funV78V90Iais_symbol_free_var_in_fo_term_listV90V76FF
VC for term_list_semantic_depend_only_free_var
a=aterm_semanticV76V77V79aterm_semanticV76V78V80Ia=a@V79V81a@V80V81Iais_fo_term_free_var_in_fo_termV81V76FIa=aevalainterp_predV77V82aevalainterp_predV78V82Aa=aevalainterp_funV77V82aevalainterp_funV78V82Iais_symbol_free_var_in_fo_termV82V76FF
a=aterm_list_semanticV83V84V86aterm_list_semanticV83V85V87Ia=a@V86V88a@V87V88Iais_fo_term_free_var_in_fo_term_listV88V83FIa=aevalainterp_predV84V89aevalainterp_predV85V89Aa=aevalainterp_funV84V89aevalainterp_funV85V89Iais_symbol_free_var_in_fo_term_listV89V83FF
a<asize_fo_formulaV98asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Ia=V95aForallV98FIa=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V95FFIa=a@V93V100a@V94V100Iais_fo_term_free_var_in_fo_formulaV100V90FAa=aevalainterp_predV91V101aevalainterp_predV92V101Aa=aevalainterp_funV91V101aevalainterp_funV92V101Iais_symbol_free_var_in_fo_formulaV101V90FF
a=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V98FIa=V95aForallV98FIa=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V95FFIa=a@V93V101a@V94V101Iais_fo_term_free_var_in_fo_formulaV101V90FAa=aevalainterp_predV91V102aevalainterp_predV92V102Aa=aevalainterp_funV91V102aevalainterp_funV92V102Iais_symbol_free_var_in_fo_formulaV102V90FF
aformula_semanticV95V97V100qaformula_semanticV98V96aocaseV100V101FAaformula_semanticV95V96V99qaformula_semanticV98V96aocaseV99V102FAaformula_semanticV98V97aocaseV100V103qaformula_semanticV98V96aocaseV99V103FIa=a@V99V104a@V100V104Iais_fo_term_free_var_in_fo_formulaV104V95FFIaformula_semanticV98V97V106qaformula_semanticV98V96V105Ia=a@V105V107a@V106V107Iais_fo_term_free_var_in_fo_formulaV107V98FFIa=V95aForallV98FIa=aevalainterp_predV96V108aevalainterp_predV97V108Aa=aevalainterp_funV96V108aevalainterp_funV97V108Iais_symbol_free_var_in_fo_formulaV108V95FFIa=a@V93V109a@V94V109Iais_fo_term_free_var_in_fo_formulaV109V90FAa=aevalainterp_predV91V110aevalainterp_predV92V110Aa=aevalainterp_funV91V110aevalainterp_funV92V110Iais_symbol_free_var_in_fo_formulaV110V90FF
a<asize_fo_formulaV98asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Ia=V95aExistsV98FIa=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V95FFIa=a@V93V100a@V94V100Iais_fo_term_free_var_in_fo_formulaV100V90FAa=aevalainterp_predV91V101aevalainterp_predV92V101Aa=aevalainterp_funV91V101aevalainterp_funV92V101Iais_symbol_free_var_in_fo_formulaV101V90FF
a=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V98FIa=V95aExistsV98FIa=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V95FFIa=a@V93V101a@V94V101Iais_fo_term_free_var_in_fo_formulaV101V90FAa=aevalainterp_predV91V102aevalainterp_predV92V102Aa=aevalainterp_funV91V102aevalainterp_funV92V102Iais_symbol_free_var_in_fo_formulaV102V90FF
aformula_semanticV95V97V100qaformula_semanticV98V96aocaseV100V101EAaformula_semanticV95V96V99qaformula_semanticV98V96aocaseV99V102EAaformula_semanticV98V97aocaseV100V103qaformula_semanticV98V96aocaseV99V103FIa=a@V99V104a@V100V104Iais_fo_term_free_var_in_fo_formulaV104V95FFIaformula_semanticV98V97V106qaformula_semanticV98V96V105Ia=a@V105V107a@V106V107Iais_fo_term_free_var_in_fo_formulaV107V98FFIa=V95aExistsV98FIa=aevalainterp_predV96V108aevalainterp_predV97V108Aa=aevalainterp_funV96V108aevalainterp_funV97V108Iais_symbol_free_var_in_fo_formulaV108V95FFIa=a@V93V109a@V94V109Iais_fo_term_free_var_in_fo_formulaV109V90FAa=aevalainterp_predV91V110aevalainterp_predV92V110Aa=aevalainterp_funV91V110aevalainterp_funV92V110Iais_symbol_free_var_in_fo_formulaV110V90FF
a<asize_fo_formulaV98asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Ia=V95aAndV98V99FIa=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V95FFIa=a@V93V101a@V94V101Iais_fo_term_free_var_in_fo_formulaV101V90FAa=aevalainterp_predV91V102aevalainterp_predV92V102Aa=aevalainterp_funV91V102aevalainterp_funV92V102Iais_symbol_free_var_in_fo_formulaV102V90FF
a=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V98FIa=V95aAndV98V99FIa=aevalainterp_predV96V101aevalainterp_predV97V101Aa=aevalainterp_funV96V101aevalainterp_funV97V101Iais_symbol_free_var_in_fo_formulaV101V95FFIa=a@V93V102a@V94V102Iais_fo_term_free_var_in_fo_formulaV102V90FAa=aevalainterp_predV91V103aevalainterp_predV92V103Aa=aevalainterp_funV91V103aevalainterp_funV92V103Iais_symbol_free_var_in_fo_formulaV103V90FF
a<asize_fo_formulaV99asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Iaformula_semanticV98V97V101qaformula_semanticV98V96V100Ia=a@V100V102a@V101V102Iais_fo_term_free_var_in_fo_formulaV102V98FFIa=V95aAndV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
a=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V99FIaformula_semanticV98V97V102qaformula_semanticV98V96V101Ia=a@V101V103a@V102V103Iais_fo_term_free_var_in_fo_formulaV103V98FFIa=V95aAndV98V99FIa=aevalainterp_predV96V104aevalainterp_predV97V104Aa=aevalainterp_funV96V104aevalainterp_funV97V104Iais_symbol_free_var_in_fo_formulaV104V95FFIa=a@V93V105a@V94V105Iais_fo_term_free_var_in_fo_formulaV105V90FAa=aevalainterp_predV91V106aevalainterp_predV92V106Aa=aevalainterp_funV91V106aevalainterp_funV92V106Iais_symbol_free_var_in_fo_formulaV106V90FF
a<asize_fo_formulaV98asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Ia=V95aOrV98V99FIa=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V95FFIa=a@V93V101a@V94V101Iais_fo_term_free_var_in_fo_formulaV101V90FAa=aevalainterp_predV91V102aevalainterp_predV92V102Aa=aevalainterp_funV91V102aevalainterp_funV92V102Iais_symbol_free_var_in_fo_formulaV102V90FF
a=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V98FIa=V95aOrV98V99FIa=aevalainterp_predV96V101aevalainterp_predV97V101Aa=aevalainterp_funV96V101aevalainterp_funV97V101Iais_symbol_free_var_in_fo_formulaV101V95FFIa=a@V93V102a@V94V102Iais_fo_term_free_var_in_fo_formulaV102V90FAa=aevalainterp_predV91V103aevalainterp_predV92V103Aa=aevalainterp_funV91V103aevalainterp_funV92V103Iais_symbol_free_var_in_fo_formulaV103V90FF
a<asize_fo_formulaV99asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Iaformula_semanticV98V97V101qaformula_semanticV98V96V100Ia=a@V100V102a@V101V102Iais_fo_term_free_var_in_fo_formulaV102V98FFIa=V95aOrV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
a=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V99FIaformula_semanticV98V97V102qaformula_semanticV98V96V101Ia=a@V101V103a@V102V103Iais_fo_term_free_var_in_fo_formulaV103V98FFIa=V95aOrV98V99FIa=aevalainterp_predV96V104aevalainterp_predV97V104Aa=aevalainterp_funV96V104aevalainterp_funV97V104Iais_symbol_free_var_in_fo_formulaV104V95FFIa=a@V93V105a@V94V105Iais_fo_term_free_var_in_fo_formulaV105V90FAa=aevalainterp_predV91V106aevalainterp_predV92V106Aa=aevalainterp_funV91V106aevalainterp_funV92V106Iais_symbol_free_var_in_fo_formulaV106V90FF
a<asize_fo_formulaV98asize_fo_formulaV95Aa<=c0asize_fo_formulaV95Ia=V95aNotV98FIa=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V95FFIa=a@V93V100a@V94V100Iais_fo_term_free_var_in_fo_formulaV100V90FAa=aevalainterp_predV91V101aevalainterp_predV92V101Aa=aevalainterp_funV91V101aevalainterp_funV92V101Iais_symbol_free_var_in_fo_formulaV101V90FF
a=aevalainterp_predV96V99aevalainterp_predV97V99Aa=aevalainterp_funV96V99aevalainterp_funV97V99Iais_symbol_free_var_in_fo_formulaV99V98FIa=V95aNotV98FIa=aevalainterp_predV96V100aevalainterp_predV97V100Aa=aevalainterp_funV96V100aevalainterp_funV97V100Iais_symbol_free_var_in_fo_formulaV100V95FFIa=a@V93V101a@V94V101Iais_fo_term_free_var_in_fo_formulaV101V90FAa=aevalainterp_predV91V102aevalainterp_predV92V102Aa=aevalainterp_funV91V102aevalainterp_funV92V102Iais_symbol_free_var_in_fo_formulaV102V90FF
ais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V101aevalainterp_predV97V101Aa=aevalainterp_funV96V101aevalainterp_funV97V101Iais_symbol_free_var_in_fo_formulaV101V95FFIa=a@V93V102a@V94V102Iais_fo_term_free_var_in_fo_formulaV102V90FAa=aevalainterp_predV91V103aevalainterp_predV92V103Aa=aevalainterp_funV91V103aevalainterp_funV92V103Iais_symbol_free_var_in_fo_formulaV103V90FF
a=aterm_list_semanticV99V96V101aterm_list_semanticV99V97V102Ia=a@V101V103a@V102V103Iais_fo_term_free_var_in_fo_formulaV103V95FFIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V104aevalainterp_predV97V104Aa=aevalainterp_funV96V104aevalainterp_funV97V104Iais_symbol_free_var_in_fo_formulaV104V95FFIa=a@V93V105a@V94V105Iais_fo_term_free_var_in_fo_formulaV105V90FAa=aevalainterp_predV91V106aevalainterp_predV92V106Aa=aevalainterp_funV91V106aevalainterp_funV92V106Iais_symbol_free_var_in_fo_formulaV106V90FF
a=a@aevalainterp_predV96V100aterm_list_semanticV99V96V101aTrueIaformula_semanticV95V96V101FIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
aformula_semanticV95V96V101Ia=a@aevalainterp_predV96V100aterm_list_semanticV99V96V101aTrueFIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
a=a@aevalainterp_predV97V100aterm_list_semanticV99V97V102aTrueIaformula_semanticV95V97V102FIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
aformula_semanticV95V97V102Ia=a@aevalainterp_predV97V100aterm_list_semanticV99V97V102aTrueFIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V103aevalainterp_predV97V103Aa=aevalainterp_funV96V103aevalainterp_funV97V103Iais_symbol_free_var_in_fo_formulaV103V95FFIa=a@V93V104a@V94V104Iais_fo_term_free_var_in_fo_formulaV104V90FAa=aevalainterp_predV91V105aevalainterp_predV92V105Aa=aevalainterp_funV91V105aevalainterp_funV92V105Iais_symbol_free_var_in_fo_formulaV105V90FF
a=a@aevalainterp_predV97V100aterm_list_semanticV99V97V102aTrueqaformula_semanticV95V97V102Aa=a@aevalainterp_predV96V100aterm_list_semanticV99V96V101aTrueqaformula_semanticV95V96V101Aa=aterm_list_semanticV99V96V101aterm_list_semanticV99V97V102Ia=a@V101V103a@V102V103Iais_fo_term_free_var_in_fo_formulaV103V95FFIais_symbol_free_var_in_fo_formulaV100V95Ia=V98aVar_symbolV100FIa=V95aPAppV98V99FIa=aevalainterp_predV96V104aevalainterp_predV97V104Aa=aevalainterp_funV96V104aevalainterp_funV97V104Iais_symbol_free_var_in_fo_formulaV104V95FFIa=a@V93V105a@V94V105Iais_fo_term_free_var_in_fo_formulaV105V90FAa=aevalainterp_predV91V106aevalainterp_predV92V106Aa=aevalainterp_funV91V106aevalainterp_funV92V106Iais_symbol_free_var_in_fo_formulaV106V90FF
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aformula_semanticV142V143V145Iaformula_semanticV142V144V146Ia=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V142FFIaformula_semanticV148V144V150qaformula_semanticV148V143V149Ia=a@V149V151a@V150V151Iais_fo_term_free_var_in_fo_formulaV151V148FFAa=V142aNotV148EIa=aevalainterp_predV143V152aevalainterp_predV144V152Aa=aevalainterp_funV143V152aevalainterp_funV144V152Iais_symbol_free_var_in_fo_formulaV152V142FFIa=a@V140V153a@V141V153Iais_fo_term_free_var_in_fo_formulaV153V137FAa=aevalainterp_predV138V154aevalainterp_predV139V154Aa=aevalainterp_funV138V154aevalainterp_funV139V154Iais_symbol_free_var_in_fo_formulaV154V137FF
aformula_semanticV142V144V146Iaformula_semanticV142V143V145Ia=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V142FFIa=V142aFTrueIa=aevalainterp_predV143V148aevalainterp_predV144V148Aa=aevalainterp_funV143V148aevalainterp_funV144V148Iais_symbol_free_var_in_fo_formulaV148V142FFIa=a@V140V149a@V141V149Iais_fo_term_free_var_in_fo_formulaV149V137FAa=aevalainterp_predV138V150aevalainterp_predV139V150Aa=aevalainterp_funV138V150aevalainterp_funV139V150Iais_symbol_free_var_in_fo_formulaV150V137FF
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aformula_semanticV142V144V146Iaformula_semanticV142V143V145Ia=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V142FFIa=V142aFFalseIa=aevalainterp_predV143V148aevalainterp_predV144V148Aa=aevalainterp_funV143V148aevalainterp_funV144V148Iais_symbol_free_var_in_fo_formulaV148V142FFIa=a@V140V149a@V141V149Iais_fo_term_free_var_in_fo_formulaV149V137FAa=aevalainterp_predV138V150aevalainterp_predV139V150Aa=aevalainterp_funV138V150aevalainterp_funV139V150Iais_symbol_free_var_in_fo_formulaV150V137FF
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VC for formula_semantic_depend_only_free_var
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aformula_semanticV144V145V147Iaformula_semanticV144V146V148Ia=a@V147V149a@V148V149Iais_fo_term_free_var_in_fo_formulaV149V144FIa=aevalainterp_predV145V150aevalainterp_predV146V150Aa=aevalainterp_funV145V150aevalainterp_funV146V150Iais_symbol_free_var_in_fo_formulaV150V144FF
a=aevalainterp_predV152V158aevalainterp_predV153V158Aa=aevalainterp_funV152V158aevalainterp_funV153V158Iais_symbol_free_var_in_fo_formulaV158V156FIa=V151aFOFConsV156V157FIa=a@V154V159a@V155V159Iais_fo_term_free_var_in_fo_formula_listV159V151FAa=aevalainterp_predV152V160aevalainterp_predV153V160Aa=aevalainterp_funV152V160aevalainterp_funV153V160Iais_symbol_free_var_in_fo_formula_listV160V151FF
a=a@V154V158a@V155V158Iais_fo_term_free_var_in_fo_formulaV158V156FIa=aevalainterp_predV152V159aevalainterp_predV153V159Aa=aevalainterp_funV152V159aevalainterp_funV153V159Iais_symbol_free_var_in_fo_formulaV159V156FIa=V151aFOFConsV156V157FIa=a@V154V160a@V155V160Iais_fo_term_free_var_in_fo_formula_listV160V151FAa=aevalainterp_predV152V161aevalainterp_predV153V161Aa=aevalainterp_funV152V161aevalainterp_funV153V161Iais_symbol_free_var_in_fo_formula_listV161V151FF
a<asize_fo_formula_listV157asize_fo_formula_listV151Aa<=c0asize_fo_formula_listV151Iaformula_semanticV156V153V155qaformula_semanticV156V152V154Ia=V151aFOFConsV156V157FIa=a@V154V158a@V155V158Iais_fo_term_free_var_in_fo_formula_listV158V151FAa=aevalainterp_predV152V159aevalainterp_predV153V159Aa=aevalainterp_funV152V159aevalainterp_funV153V159Iais_symbol_free_var_in_fo_formula_listV159V151FF
a=aevalainterp_predV152V158aevalainterp_predV153V158Aa=aevalainterp_funV152V158aevalainterp_funV153V158Iais_symbol_free_var_in_fo_formula_listV158V157FIaformula_semanticV156V153V155qaformula_semanticV156V152V154Ia=V151aFOFConsV156V157FIa=a@V154V159a@V155V159Iais_fo_term_free_var_in_fo_formula_listV159V151FAa=aevalainterp_predV152V160aevalainterp_predV153V160Aa=aevalainterp_funV152V160aevalainterp_funV153V160Iais_symbol_free_var_in_fo_formula_listV160V151FF
a=a@V154V158a@V155V158Iais_fo_term_free_var_in_fo_formula_listV158V157FIa=aevalainterp_predV152V159aevalainterp_predV153V159Aa=aevalainterp_funV152V159aevalainterp_funV153V159Iais_symbol_free_var_in_fo_formula_listV159V157FIaformula_semanticV156V153V155qaformula_semanticV156V152V154Ia=V151aFOFConsV156V157FIa=a@V154V160a@V155V160Iais_fo_term_free_var_in_fo_formula_listV160V151FAa=aevalainterp_predV152V161aevalainterp_predV153V161Aa=aevalainterp_funV152V161aevalainterp_funV153V161Iais_symbol_free_var_in_fo_formula_listV161V151FF
aformula_list_conj_semanticV151V153V155qaformula_list_conj_semanticV151V152V154Ia=V151aFOFNilIa=a@V154V156a@V155V156Iais_fo_term_free_var_in_fo_formula_listV156V151FAa=aevalainterp_predV152V157aevalainterp_predV153V157Aa=aevalainterp_funV152V157aevalainterp_funV153V157Iais_symbol_free_var_in_fo_formula_listV157V151FF
aformula_list_conj_semanticV151V153V155qaformula_list_conj_semanticV151V152V154Iaformula_list_conj_semanticV157V153V155qaformula_list_conj_semanticV157V152V154Aaformula_semanticV156V153V155qaformula_semanticV156V152V154Aa=V151aFOFConsV156V157EIa=a@V154V158a@V155V158Iais_fo_term_free_var_in_fo_formula_listV158V151FAa=aevalainterp_predV152V159aevalainterp_predV153V159Aa=aevalainterp_funV152V159aevalainterp_funV153V159Iais_symbol_free_var_in_fo_formula_listV159V151FF
aformula_semanticV90V92V94qaformula_semanticV90V91V93Ia=a@V93V95a@V94V95Iais_fo_term_free_var_in_fo_formulaV95V90FIa=aevalainterp_predV91V96aevalainterp_predV92V96Aa=aevalainterp_funV91V96aevalainterp_funV92V96Iais_symbol_free_var_in_fo_formulaV96V90FF
aformula_list_conj_semanticV97V99V101qaformula_list_conj_semanticV97V98V100ICtaFOFNilaformula_list_conj_semanticV103V99V101qaformula_list_conj_semanticV103V98V100Aaformula_semanticV102V99V101qaformula_semanticV102V98V100aFOFConsVVV97ACtaFOFNila=a@V100V106a@V101V106Iais_fo_term_free_var_in_fo_formula_listV106V105FAa=aevalainterp_predV98V107aevalainterp_predV99V107Aa=aevalainterp_funV98V107aevalainterp_funV99V107Iais_symbol_free_var_in_fo_formula_listV107V105FAa<asize_fo_formula_listV105asize_fo_formula_listV97Aa<=c0asize_fo_formula_listV97Iaformula_semanticV104V99V101qaformula_semanticV104V98V100Aa=a@V100V108a@V101V108Iais_fo_term_free_var_in_fo_formulaV108V104FAa=aevalainterp_predV98V109aevalainterp_predV99V109Aa=aevalainterp_funV98V109aevalainterp_funV99V109Iais_symbol_free_var_in_fo_formulaV109V104FaFOFConsVVV97Ia=a@V100V110a@V101V110Iais_fo_term_free_var_in_fo_formula_listV110V97FAa=aevalainterp_predV98V111aevalainterp_predV99V111Aa=aevalainterp_funV98V111aevalainterp_funV99V111Iais_symbol_free_var_in_fo_formula_list
VC for formula_list_conj_semantic_depend_only_free_var
aformula_list_conj_semanticV151V153V155Iaformula_list_conj_semanticV151V152V154Ia=a@V154V156a@V155V156Iais_fo_term_free_var_in_fo_formula_listV156V151FIa=aevalainterp_predV152V157aevalainterp_predV153V157Aa=aevalainterp_funV152V157aevalainterp_funV153V157Iais_symbol_free_var_in_fo_formula_listV157V151FF
aformula_list_conj_semanticV158V159V161Iaformula_list_conj_semanticV158V160V162Ia=a@V161V163a@V162V163Iais_fo_term_free_var_in_fo_formula_listV163V158FIa=aevalainterp_predV159V164aevalainterp_predV160V164Aa=aevalainterp_funV159V164aevalainterp_funV160V164Iais_symbol_free_var_in_fo_formula_listV164V158FF
a=aevalainterp_predV166V172aevalainterp_predV167V172Aa=aevalainterp_funV166V172aevalainterp_funV167V172Iais_symbol_free_var_in_fo_formulaV172V170FIa=V165aFOFConsV170V171FIa=a@V168V173a@V169V173Iais_fo_term_free_var_in_fo_formula_listV173V165FAa=aevalainterp_predV166V174aevalainterp_predV167V174Aa=aevalainterp_funV166V174aevalainterp_funV167V174Iais_symbol_free_var_in_fo_formula_listV174V165FF
a=a@V168V172a@V169V172Iais_fo_term_free_var_in_fo_formulaV172V170FIa=aevalainterp_predV166V173aevalainterp_predV167V173Aa=aevalainterp_funV166V173aevalainterp_funV167V173Iais_symbol_free_var_in_fo_formulaV173V170FIa=V165aFOFConsV170V171FIa=a@V168V174a@V169V174Iais_fo_term_free_var_in_fo_formula_listV174V165FAa=aevalainterp_predV166V175aevalainterp_predV167V175Aa=aevalainterp_funV166V175aevalainterp_funV167V175Iais_symbol_free_var_in_fo_formula_listV175V165FF
a<asize_fo_formula_listV171asize_fo_formula_listV165Aa<=c0asize_fo_formula_listV165Iaformula_semanticV170V167V169qaformula_semanticV170V166V168Ia=V165aFOFConsV170V171FIa=a@V168V172a@V169V172Iais_fo_term_free_var_in_fo_formula_listV172V165FAa=aevalainterp_predV166V173aevalainterp_predV167V173Aa=aevalainterp_funV166V173aevalainterp_funV167V173Iais_symbol_free_var_in_fo_formula_listV173V165FF
a=aevalainterp_predV166V172aevalainterp_predV167V172Aa=aevalainterp_funV166V172aevalainterp_funV167V172Iais_symbol_free_var_in_fo_formula_listV172V171FIaformula_semanticV170V167V169qaformula_semanticV170V166V168Ia=V165aFOFConsV170V171FIa=a@V168V173a@V169V173Iais_fo_term_free_var_in_fo_formula_listV173V165FAa=aevalainterp_predV166V174aevalainterp_predV167V174Aa=aevalainterp_funV166V174aevalainterp_funV167V174Iais_symbol_free_var_in_fo_formula_listV174V165FF
a=a@V168V172a@V169V172Iais_fo_term_free_var_in_fo_formula_listV172V171FIa=aevalainterp_predV166V173aevalainterp_predV167V173Aa=aevalainterp_funV166V173aevalainterp_funV167V173Iais_symbol_free_var_in_fo_formula_listV173V171FIaformula_semanticV170V167V169qaformula_semanticV170V166V168Ia=V165aFOFConsV170V171FIa=a@V168V174a@V169V174Iais_fo_term_free_var_in_fo_formula_listV174V165FAa=aevalainterp_predV166V175aevalainterp_predV167V175Aa=aevalainterp_funV166V175aevalainterp_funV167V175Iais_symbol_free_var_in_fo_formula_listV175V165FF
aformula_list_disj_semanticV165V167V169qaformula_list_disj_semanticV165V166V168Ia=V165aFOFNilIa=a@V168V170a@V169V170Iais_fo_term_free_var_in_fo_formula_listV170V165FAa=aevalainterp_predV166V171aevalainterp_predV167V171Aa=aevalainterp_funV166V171aevalainterp_funV167V171Iais_symbol_free_var_in_fo_formula_listV171V165FF
aformula_list_disj_semanticV165V167V169qaformula_list_disj_semanticV165V166V168Iaformula_list_disj_semanticV171V167V169qaformula_list_disj_semanticV171V166V168Aaformula_semanticV170V167V169qaformula_semanticV170V166V168Aa=V165aFOFConsV170V171EIa=a@V168V172a@V169V172Iais_fo_term_free_var_in_fo_formula_listV172V165FAa=aevalainterp_predV166V173aevalainterp_predV167V173Aa=aevalainterp_funV166V173aevalainterp_funV167V173Iais_symbol_free_var_in_fo_formula_listV173V165FF
aformula_list_conj_semanticV97V99V101qaformula_list_conj_semanticV97V98V100Ia=a@V100V102a@V101V102Iais_fo_term_free_var_in_fo_formula_listV102V97FIa=aevalainterp_predV98V103aevalainterp_predV99V103Aa=aevalainterp_funV98V103aevalainterp_funV99V103Iais_symbol_free_var_in_fo_formula_listV103V97FF
aformula_list_disj_semanticV104V106V108qaformula_list_disj_semanticV104V105V107ICtaFOFNilaformula_list_disj_semanticV110V106V108qaformula_list_disj_semanticV110V105V107Aaformula_semanticV109V106V108qaformula_semanticV109V105V107aFOFConsVVV104ACtaFOFNila=a@V107V113a@V108V113Iais_fo_term_free_var_in_fo_formula_listV113V112FAa=aevalainterp_predV105V114aevalainterp_predV106V114Aa=aevalainterp_funV105V114aevalainterp_funV106V114Iais_symbol_free_var_in_fo_formula_listV114V112FAa<asize_fo_formula_listV112asize_fo_formula_listV104Aa<=c0asize_fo_formula_listV104Iaformula_semanticV111V106V108qaformula_semanticV111V105V107Aa=a@V107V115a@V108V115Iais_fo_term_free_var_in_fo_formulaV115V111FAa=aevalainterp_predV105V116aevalainterp_predV106V116Aa=aevalainterp_funV105V116aevalainterp_funV106V116Iais_symbol_free_var_in_fo_formulaV116V111FaFOFConsVVV104Ia=a@V107V117a@V108V117Iais_fo_term_free_var_in_fo_formula_listV117V104FAa=aevalainterp_predV105V118aevalainterp_predV106V118Aa=aevalainterp_funV105V118aevalainterp_funV106V118I
VC for formula_list_disj_semantic_depend_only_free_var
aformula_list_disj_semanticV104V106V108qaformula_list_disj_semanticV104V105V107Ia=a@V107V109a@V108V109Iais_fo_term_free_var_in_fo_formula_listV109V104FIa=aevalainterp_predV105V110aevalainterp_predV106V110Aa=aevalainterp_funV105V110aevalainterp_funV106V110Iais_symbol_free_var_in_fo_formula_listV110V104FF
aformula_semanticV114V112V113Iaformula_list_memV114V111Fqaformula_list_conj_semanticV111V112V113ICtaFOFNilaformula_semanticV116V112V113Iaformula_list_memV116V115Fqaformula_list_conj_semanticV115V112V113aFOFConswVV111ACtaFOFNila<asize_fo_formula_listV117asize_fo_formula_listV111Aa<=c0asize_fo_formula_listV111aFOFConswVV111F
VC for formula_list_conj_semantic_other_def
aformula_semanticV114V112V113Iaformula_list_memV114V111Fqaformula_list_conj_semanticV111V112V113F
aformula_semanticV118V116V117Aaformula_list_memV118V115Eqaformula_list_disj_semanticV115V116V117ICtaFOFNilaformula_semanticV121V116V117Aaformula_list_memV121V120Eqaformula_list_disj_semanticV120V116V117aFOFConsVVV115ACtaFOFNila<asize_fo_formula_listV123asize_fo_formula_listV115Aa<=c0asize_fo_formula_listV115aFOFConsVVV115F
VC for formula_list_disj_semantic_other_def
aformula_semanticV118V116V117Aaformula_list_memV118V115Eqaformula_list_disj_semanticV115V116V117F
aformula_semanticV119V120aocaseV121V122qa=a@askolem_predicateV119V120V121V122aTrueF
a=a@askolem_functionV123V124V125V126achoiceaskolem_predicateV123V124a@V125V126F
a=a@askolem_transformerV127V128V129V130amodel'mkaainterp_funV130V128askolem_functionV127V130V129ainterp_predV130F
a=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V144V145V146a@V145V146Iais_fo_term_free_var_in_fo_formulaaSomeV146V131FANais_symbol_free_var_in_fo_formulaV132V131F
a=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V144V145V146a@V145V146Iais_fo_term_free_var_in_fo_formulaaSomeV146V131FANais_symbol_free_var_in_fo_formulaV132V131F
a=V142V143Ia=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V144V145V146a@V145V146Iais_fo_term_free_var_in_fo_formulaaSomeV146V131FANais_symbol_free_var_in_fo_formulaV132V131F
a=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V131FLaocasea@V134V142V144LaocaseV139V144FIa=V142V143Ia=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V148V149V150a@V149V150Iais_fo_term_free_var_in_fo_formulaaSomeV150V131FANais_symbol_free_var_in_fo_formulaV132V131F
aformula_semanticV131V138V146Iaformula_semanticV131V138V145Ia=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V131FLaocasea@V134V142V144LaocaseV139V144FIa=V142V143Ia=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V148V149V150a@V149V150Iais_fo_term_free_var_in_fo_formulaaSomeV150V131FANais_symbol_free_var_in_fo_formulaV132V131F
aformula_semanticV131V138V145Iaformula_semanticV131V138V146Ia=a@V145V147a@V146V147Iais_fo_term_free_var_in_fo_formulaV147V131FLaocasea@V134V142V144LaocaseV139V144FIa=V142V143Ia=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V148V149V150a@V149V150Iais_fo_term_free_var_in_fo_formulaaSomeV150V131FANais_symbol_free_var_in_fo_formulaV132V131F
a=a@V144aNonea@V145aNoneLaocaseV139a@V140V143Lasemantic_substV136V141V139Iaformula_semanticV131V138V148qaformula_semanticV131V138V147Aa=a@V147V149a@V148V149Iais_fo_term_free_var_in_fo_formulaV149V131FLaocasea@V134V142V146LaocaseV139V146FIa=V142V143Ia=ainterp_predV141ainterp_predV138Ia=ainterp_funV141aainterp_funV138V132V140Laterm_list_semanticV133V141V139Laterm_list_semanticV133V138V139La@V135V138Laskolem_functionV131V138V134FLasubst_fo_formulaV131asubst_id_symbolV136Laocaseasubst_id_fo_termaAppaVar_symbolV132V133Laskolem_transformerV131V132V134INais_symbol_free_var_in_fo_term_listV132V133Aa=a@a@V134aterm_list_semanticV133V150V151V152a@V151V152Iais_fo_term_free_var_in_fo_formulaaSomeV152V131FANais_symbol_free_var_in_fo_formulaV132V131F
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VC for skolem_model_transformer

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