TSTP Solution File: COM132+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:37:16 EDT 2023
% Result : Theorem 41.59s 41.75s
% Output : Proof 41.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 13:39:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 41.59/41.75 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XlixS67p1b/cvc5---1.0.5_8098.p...
% 41.59/41.75 ------- get file name : TPTP file name is COM132+2
% 41.59/41.75 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8098.smt2...
% 41.59/41.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 41.59/41.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 41.59/41.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 41.59/41.75 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 41.59/41.75 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 41.59/41.75 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 41.59/41.75 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.59/41.75 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 41.59/41.75 % SZS status Theorem for COM132+2
% 41.59/41.75 % SZS output start Proof for COM132+2
% 41.59/41.75 (
% 41.59/41.75 (let ((_let_1 (not (forall ((VT $$unsorted) (VC $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Vy $$unsorted) (VS $$unsorted) (VT2 $$unsorted)) (let ((_let_1 (tptp.vabs Vy VS tptp.veabs))) (=> (and (not (= Vx Vy)) (tptp.visFreeVar Vy Ve) (tptp.vtcheck VC Ve VT) (tptp.vtcheck (tptp.vbind Vx VT VC) _let_1 VT2)) (tptp.vtcheck VC (tptp.vsubst Vx Ve _let_1) VT2))))))) (let ((_let_2 (forall ((Ve $$unsorted) (Vx $$unsorted) (Vfresh $$unsorted) (Ve1 $$unsorted)) (=> (= Vfresh (tptp.vgensym (tptp.vapp (tptp.vapp Ve Ve1) (tptp.vvar Vx)))) (not (tptp.visFreeVar Vfresh Ve1)))))) (let ((_let_3 (forall ((Ve $$unsorted) (Ve1 $$unsorted) (Vx $$unsorted) (Vfresh $$unsorted)) (=> (= Vfresh (tptp.vgensym (tptp.vapp (tptp.vapp Ve Ve1) (tptp.vvar Vx)))) (not (= Vx Vfresh)))))) (let ((_let_4 (forall ((VT $$unsorted) (VC $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Vy $$unsorted) (VS $$unsorted) (Ve1 $$unsorted) (VT2 $$unsorted)) (let ((_let_1 (tptp.vabs Vy VS Ve1))) (=> (and (not (= Vx Vy)) (not (tptp.visFreeVar Vy Ve)) (tptp.vtcheck VC Ve VT) (tptp.vtcheck (tptp.vbind Vx VT VC) _let_1 VT2)) (tptp.vtcheck VC (tptp.vsubst Vx Ve _let_1) VT2)))))) (let ((_let_5 (forall ((Ve $$unsorted) (VC $$unsorted) (Ve1 $$unsorted) (VT $$unsorted)) (=> (and (tptp.vtcheck VC Ve VT) (tptp.valphaEquivalent Ve Ve1)) (tptp.vtcheck VC Ve1 VT))))) (let ((_let_6 (forall ((VS $$unsorted) (Vx $$unsorted) (Vy $$unsorted) (Ve $$unsorted)) (=> (not (tptp.visFreeVar Vy Ve)) (tptp.valphaEquivalent (tptp.vabs Vx VS Ve) (tptp.vabs Vy VS (tptp.vsubst Vx (tptp.vvar Vy) Ve))))))) (let ((_let_7 (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted)) (=> (= (tptp.vsubst VVar0 VExp0 VExp1) RESULT) (or (exists ((Vx $$unsorted) (Vy $$unsorted) (Ve $$unsorted)) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vvar Vy)) (= Vx Vy) (= RESULT Ve))) (exists ((Ve $$unsorted) (Vx $$unsorted) (Vy $$unsorted)) (let ((_let_1 (tptp.vvar Vy))) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 _let_1) (not (= Vx Vy)) (= RESULT _let_1)))) (exists ((Ve1 $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Ve2 $$unsorted)) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vapp Ve1 Ve2)) (= RESULT (tptp.vapp (tptp.vsubst Vx Ve Ve1) (tptp.vsubst Vx Ve Ve2))))) (exists ((Ve $$unsorted) (Vx $$unsorted) (Vy $$unsorted) (VT $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vabs Vy VT Ve1))) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 _let_1) (= Vx Vy) (= RESULT _let_1)))) (exists ((Vx $$unsorted) (Ve $$unsorted) (VT $$unsorted) (Vy $$unsorted) (Vfresh $$unsorted) (Ve1 $$unsorted)) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vabs Vy VT Ve1)) (not (= Vx Vy)) (tptp.visFreeVar Vy Ve) (= Vfresh (tptp.vgensym (tptp.vapp (tptp.vapp Ve Ve1) (tptp.vvar Vx)))) (= RESULT (tptp.vsubst Vx Ve (tptp.vabs Vfresh VT (tptp.vsubst Vy (tptp.vvar Vfresh) Ve1)))))) (exists ((Vy $$unsorted) (VT $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Ve1 $$unsorted)) (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vabs Vy VT Ve1)) (not (= Vx Vy)) (not (tptp.visFreeVar Vy Ve)) (= RESULT (tptp.vabs Vy VT (tptp.vsubst Vx Ve Ve1)))))))))) (let ((_let_8 (forall ((Vv $$unsorted) (Ve $$unsorted)) (=> (= (tptp.vgensym Ve) Vv) (not (tptp.visFreeVar Vv Ve)))))) (let ((_let_9 (= tptp.vnoType tptp.vnoType))) (let ((_let_10 (= tptp.vempty tptp.vempty))) (let ((_let_11 (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (Ve1 $$unsorted) (Vv $$unsorted) (Ve2 $$unsorted)) (let ((_let_1 (or (tptp.visFreeVar Vv Ve1) (tptp.visFreeVar Vv Ve2)))) (let ((_let_2 (tptp.visFreeVar VVar0 VExp0))) (=> (and (= VVar0 Vv) (= VExp0 (tptp.vapp Ve1 Ve2))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))) (let ((_let_12 (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (VExp2 $$unsorted)) (not (= (tptp.vabs VVar0 VTyp0 VExp0) (tptp.vapp VExp1 VExp2)))))) (let ((_let_13 (forall ((VVar0 $$unsorted) (VVar1 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted)) (not (= (tptp.vvar VVar0) (tptp.vabs VVar1 VTyp0 VExp0)))))) (let ((_let_14 (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted) (VVar1 $$unsorted) (VTyp1 $$unsorted) (VExp1 $$unsorted)) (let ((_let_1 (= (tptp.vabs VVar0 VTyp0 VExp0) (tptp.vabs VVar1 VTyp1 VExp1)))) (let ((_let_2 (and (= VVar0 VVar1) (= VTyp0 VTyp1) (= VExp0 VExp1)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))))) (let ((_let_15 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143))) (let ((_let_17 (tptp.visFreeVar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145))) (let ((_let_19 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.vtcheck _let_20 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_15))) (let ((_let_24 (or _let_16 _let_17 _let_23 _let_22 _let_19))) (let ((_let_25 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (let ((_let_26 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_25))) (let ((_let_27 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_28 (tptp.vtcheck _let_20 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_29 (not _let_28))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_31 (or _let_30 (not (tptp.visFreeVar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_23 _let_29 _let_27))) (let ((_let_32 (forall ((VT $$unsorted) (VC $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Vy $$unsorted) (VS $$unsorted) (VT2 $$unsorted)) (let ((_let_1 (tptp.vabs Vy VS tptp.veabs))) (or (= Vx Vy) (not (tptp.visFreeVar Vy Ve)) (not (tptp.vtcheck VC Ve VT)) (not (tptp.vtcheck (tptp.vbind Vx VT VC) _let_1 VT2)) (tptp.vtcheck VC (tptp.vsubst Vx Ve _let_1) VT2)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (or))) (let ((_let_36 (not _let_32))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args (_let_36))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_32))) (REFL :args (_let_33)) :args _let_35)) _let_34 :args (_let_33 true _let_32)))) (let ((_let_38 (REFL :args (_let_31)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 2)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_15))) :args _let_35)) :args ((or _let_15 _let_31))) _let_37 :args (_let_15 true _let_31)))) (let ((_let_40 (not (= _let_26 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145)))))) (let ((_let_41 (= _let_25 _let_18))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_16 _let_17 _let_40))) (let ((_let_44 (forall ((Vy $$unsorted) (VT $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (or (not (= (tptp.vabs Vy VT Ve1) _let_1)) (= Vy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.visFreeVar Vy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (not (= (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1) (tptp.vabs Vy VT (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Ve1))))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (not _let_44))) (let ((_let_47 (forall ((VT $$unsorted) (Vy $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vgensym (tptp.vapp (tptp.vapp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Ve1) (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_2 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (or (not (= (tptp.vabs Vy VT Ve1) _let_2)) (= Vy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.visFreeVar Vy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (= (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_2) (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.vabs _let_1 VT (tptp.vsubst Vy (tptp.vvar _let_1) Ve1))))))))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (forall ((VT $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 VT Ve1))) (let ((_let_2 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (or (not (= _let_2 _let_1)) (not (= (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_2) _let_1)))))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (forall ((Ve1 $$unsorted) (Ve2 $$unsorted)) (let ((_let_1 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (or (not (= (tptp.vapp Ve1 Ve2) _let_1)) (not (= (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1) (tptp.vapp (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Ve1) (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Ve2))))))))) (let ((_let_52 (not _let_51))) (let ((_let_53 (forall ((Vy $$unsorted)) (let ((_let_1 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.veabs))) (let ((_let_2 (tptp.vvar Vy))) (or (not (= _let_2 _let_1)) (= Vy SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (= _let_2 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1))))))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (= _let_25 _let_55))) (let ((_let_57 (and _let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_26)))) (let ((_let_58 (or _let_57 _let_54 _let_52 _let_50 _let_48 _let_46))) (let ((_let_59 (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted)) (or (and (= VExp1 (tptp.vvar VVar0)) (= VExp0 (tptp.vsubst VVar0 VExp0 VExp1))) (not (forall ((Vy $$unsorted)) (let ((_let_1 (tptp.vvar Vy))) (or (not (= VExp1 _let_1)) (= VVar0 Vy) (not (= (tptp.vsubst VVar0 VExp0 VExp1) _let_1)))))) (not (forall ((Ve1 $$unsorted) (Ve2 $$unsorted)) (or (not (= VExp1 (tptp.vapp Ve1 Ve2))) (not (= (tptp.vsubst VVar0 VExp0 VExp1) (tptp.vapp (tptp.vsubst VVar0 VExp0 Ve1) (tptp.vsubst VVar0 VExp0 Ve2))))))) (not (forall ((VT $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vabs VVar0 VT Ve1))) (or (not (= VExp1 _let_1)) (not (= (tptp.vsubst VVar0 VExp0 VExp1) _let_1)))))) (not (forall ((VT $$unsorted) (Vy $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vgensym (tptp.vapp (tptp.vapp VExp0 Ve1) (tptp.vvar VVar0))))) (or (not (= VExp1 (tptp.vabs Vy VT Ve1))) (= VVar0 Vy) (not (tptp.visFreeVar Vy VExp0)) (not (= (tptp.vsubst VVar0 VExp0 VExp1) (tptp.vsubst VVar0 VExp0 (tptp.vabs _let_1 VT (tptp.vsubst Vy (tptp.vvar _let_1) Ve1))))))))) (not (forall ((Vy $$unsorted) (VT $$unsorted) (Ve1 $$unsorted)) (or (not (= VExp1 (tptp.vabs Vy VT Ve1))) (= VVar0 Vy) (tptp.visFreeVar Vy VExp0) (not (= (tptp.vsubst VVar0 VExp0 VExp1) (tptp.vabs Vy VT (tptp.vsubst VVar0 VExp0 Ve1))))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.vapp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_62 (tptp.vapp _let_61 _let_55))) (let ((_let_63 (tptp.vgensym _let_62))) (let ((_let_64 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 (tptp.vvar _let_63) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_65 (tptp.vabs _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 _let_64))) (let ((_let_66 (tptp.vsubst SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65))) (let ((_let_67 (= _let_26 _let_66))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not (tptp.visFreeVar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_70 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_71 (= _let_25 _let_70))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) _let_69 _let_68))) (let ((_let_74 (tptp.vtcheck _let_20 _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_75 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_76 (tptp.valphaEquivalent _let_70 _let_65))) (let ((_let_77 (tptp.vtcheck _let_20 _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_78 (not _let_76))) (let ((_let_79 (not _let_74))) (let ((_let_80 (or _let_79 _let_78 _let_77))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_63))) (let ((_let_82 (tptp.visFreeVar _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_83 (not _let_77))) (let ((_let_84 (or _let_81 _let_82 _let_23 _let_83 _let_75))) (let ((_let_85 (REFL :args (_let_73)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 3)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_35)) :args ((or _let_28 _let_31))) _let_37 :args (_let_28 true _let_31)))) (let ((_let_87 (and _let_28 _let_71))) (let ((_let_88 (_let_28 _let_71))) (let ((_let_89 (ASSUME :args (_let_28)))) (let ((_let_90 (TRUE_INTRO 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(IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_100 _let_102) (SCOPE (FALSE_ELIM (TRANS (CONG _let_103 (SYMM _let_102) _let_92 :args _let_91) _let_101)) :args _let_99)) :args _let_99)) :args (true _let_98)) (CONG _let_97 (REFL :args (_let_68)) (REFL :args ((not _let_75))) :args _let_35)) _let_96 (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG _let_94 (SYMM (SYMM (SYMM _let_93))) _let_92 :args _let_91) _let_90)) :args _let_88)) :args _let_88)) :args (true _let_87)) _let_86 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 3)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_35)) :args ((or _let_67 _let_73))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 0)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_35)) :args ((or _let_71 _let_73))) :args (_let_73 false _let_84 true _let_82 true _let_81 false _let_15 false _let_77 false _let_80 false _let_76 true _let_75 true _let_27 false _let_74 false _let_28 false _let_67 false _let_71)) :args (_let_47 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vsubst VVar0 VExp0 VExp1)))) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_46 true _let_57 false _let_49 false _let_53 false _let_51 false _let_47 false _let_58)) :args (_let_45 true _let_44)))) (let ((_let_161 (not _let_19))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_35)) :args ((or _let_41 _let_43))) _let_160 :args (_let_41 true _let_43)))) (let ((_let_163 (and _let_95 _let_41))) (let ((_let_164 (_let_95 _let_41))) (let ((_let_165 (ASSUME :args (_let_41)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (and _let_28 _let_41))) (let ((_let_168 (_let_28 _let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_17 _let_16 _let_22 _let_19 (not _let_24)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_165) (SCOPE (TRUE_ELIM (TRANS (CONG _let_94 _let_166 _let_92 :args _let_91) _let_90)) :args _let_168)) :args _let_168)) :args (true _let_167)) _let_86 _let_162 :args (_let_21 false _let_28 false _let_41)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_100 _let_165) (SCOPE (FALSE_ELIM (TRANS (CONG _let_103 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_166 :args (APPLY_UF tptp.vsubst)) _let_92 :args _let_91) _let_101)) :args _let_164)) :args _let_164)) :args (true _let_163)) (CONG _let_97 (REFL :args (_let_42)) (REFL :args (_let_161)) :args _let_35)) _let_96 _let_162 :args (_let_161 true _let_27 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_144 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)) _let_130 :args (_let_24 false _let_129)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 2)) _let_160 :args ((not _let_17) true _let_43)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 1)) _let_160 :args ((not _let_16) true _let_43)) _let_39 :args (false false _let_21 true _let_19 false _let_24 true _let_17 true _let_16 false _let_15)) :args ((forall ((VVar0 $$unsorted) (VVar1 $$unsorted)) (let ((_let_1 (= (tptp.vvar VVar0) (tptp.vvar VVar1)))) (let ((_let_2 (= VVar0 VVar1))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) _let_14 (forall ((VExp0 $$unsorted) (VExp1 $$unsorted) (VExp2 $$unsorted) (VExp3 $$unsorted)) (let ((_let_1 (= (tptp.vapp VExp0 VExp1) (tptp.vapp VExp2 VExp3)))) (let ((_let_2 (and (= VExp0 VExp2) (= VExp1 VExp3)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) _let_13 (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted)) (not (= (tptp.vvar VVar0) (tptp.vapp VExp0 VExp1)))) _let_12 (forall ((Vx $$unsorted) (VS $$unsorted) (Ve $$unsorted) (VExp0 $$unsorted)) (=> (= VExp0 (tptp.vabs Vx VS Ve)) (tptp.visValue VExp0))) (forall ((Vx $$unsorted) (VExp0 $$unsorted)) (=> (= VExp0 (tptp.vvar Vx)) (not (tptp.visValue VExp0)))) (forall ((Ve1 $$unsorted) (Ve2 $$unsorted) (VExp0 $$unsorted)) (=> (= VExp0 (tptp.vapp Ve1 Ve2)) (not (tptp.visValue VExp0)))) (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (Vx $$unsorted) (Vv $$unsorted)) (let ((_let_1 (= Vx Vv))) (let ((_let_2 (tptp.visFreeVar VVar0 VExp0))) (=> (and (= VVar0 Vv) (= VExp0 (tptp.vvar Vx))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) (forall ((VT $$unsorted) (VVar0 $$unsorted) (VExp0 $$unsorted) (Vx $$unsorted) (Vv $$unsorted) (Ve $$unsorted)) (let ((_let_1 (and (not (= Vx Vv)) (tptp.visFreeVar Vv Ve)))) (let ((_let_2 (tptp.visFreeVar VVar0 VExp0))) (=> (and (= VVar0 Vv) (= VExp0 (tptp.vabs Vx VT Ve))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))) _let_11 (and (=> _let_10 true) (=> true _let_10)) (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VCtx0 $$unsorted) (VVar1 $$unsorted) (VTyp1 $$unsorted) (VCtx1 $$unsorted)) (let ((_let_1 (= (tptp.vbind VVar0 VTyp0 VCtx0) (tptp.vbind VVar1 VTyp1 VCtx1)))) (let ((_let_2 (and (= VVar0 VVar1) (= VTyp0 VTyp1) (= VCtx0 VCtx1)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) (and (=> _let_9 true) (=> true _let_9)) (forall ((VTyp0 $$unsorted) (VTyp1 $$unsorted)) (let ((_let_1 (= (tptp.vsomeType VTyp0) (tptp.vsomeType VTyp1)))) (let ((_let_2 (= VTyp0 VTyp1))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VCtx0 $$unsorted)) (not (= tptp.vempty (tptp.vbind VVar0 VTyp0 VCtx0)))) (forall ((VTyp0 $$unsorted)) (not (= tptp.vnoType (tptp.vsomeType VTyp0)))) (forall ((VOptTyp0 $$unsorted)) (=> (= VOptTyp0 tptp.vnoType) (not (tptp.visSomeType VOptTyp0)))) (forall ((Ve $$unsorted) (VOptTyp0 $$unsorted)) (=> (= VOptTyp0 (tptp.vsomeType Ve)) (tptp.visSomeType VOptTyp0))) (forall ((VOptTyp0 $$unsorted) (RESULT $$unsorted) (Ve $$unsorted)) (=> (= VOptTyp0 (tptp.vsomeType Ve)) (=> (= RESULT (tptp.vgetSomeType VOptTyp0)) (= RESULT Ve)))) (forall ((Vx $$unsorted) (VVar0 $$unsorted) (VCtx0 $$unsorted) (RESULT $$unsorted)) (=> (and (= VVar0 Vx) (= VCtx0 tptp.vempty)) (=> (= RESULT (tptp.vlookup VVar0 VCtx0)) (= RESULT tptp.vnoType)))) (forall ((VC $$unsorted) (Vx $$unsorted) (Vy $$unsorted) (VVar0 $$unsorted) (VCtx0 $$unsorted) (RESULT $$unsorted) (VTy $$unsorted)) (=> (and (= VVar0 Vx) (= VCtx0 (tptp.vbind Vy VTy VC))) (=> (= Vx Vy) (=> (= RESULT (tptp.vlookup VVar0 VCtx0)) (= RESULT (tptp.vsomeType VTy)))))) (forall ((VTy $$unsorted) (Vy $$unsorted) (VVar0 $$unsorted) (VCtx0 $$unsorted) (RESULT $$unsorted) (Vx $$unsorted) (VC $$unsorted)) (=> (and (= VVar0 Vx) (= VCtx0 (tptp.vbind Vy VTy VC))) (=> (not (= Vx Vy)) (=> (= RESULT (tptp.vlookup VVar0 VCtx0)) (= RESULT (tptp.vlookup Vx VC)))))) (forall ((VVar0 $$unsorted) (VCtx0 $$unsorted) (RESULT $$unsorted)) (=> (= (tptp.vlookup VVar0 VCtx0) RESULT) (or (exists ((Vx $$unsorted)) (and (= VVar0 Vx) (= VCtx0 tptp.vempty) (= RESULT tptp.vnoType))) (exists ((VC $$unsorted) (Vx $$unsorted) (Vy $$unsorted) (VTy $$unsorted)) (and (= VVar0 Vx) (= VCtx0 (tptp.vbind Vy VTy VC)) (= Vx Vy) (= RESULT (tptp.vsomeType VTy)))) (exists ((VTy $$unsorted) (Vy $$unsorted) (Vx $$unsorted) (VC $$unsorted)) (and (= VVar0 Vx) (= VCtx0 (tptp.vbind Vy VTy VC)) (not (= Vx Vy)) (= RESULT (tptp.vlookup Vx VC))))))) (forall ((Vy $$unsorted) (VTy $$unsorted) (Vx $$unsorted) (VTx $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (= Vx Vy) (tptp.vtcheck (tptp.vbind Vx VTx (tptp.vbind Vy VTy VC)) Ve VT)) (tptp.vtcheck (tptp.vbind Vx VTx VC) Ve VT))) (forall ((Vy $$unsorted) (VTy $$unsorted) (Vx $$unsorted) (VTx $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (not (= Vx Vy)) (tptp.vtcheck (tptp.vbind Vx VTx (tptp.vbind Vy VTy VC)) Ve VT)) (tptp.vtcheck (tptp.vbind Vy VTy (tptp.vbind Vx VTx VC)) Ve VT))) _let_8 (forall ((Vx $$unsorted) (Vy $$unsorted) (VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Ve $$unsorted)) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vvar Vy))) (=> (= Vx Vy) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT Ve))))) (forall ((Ve $$unsorted) (Vx $$unsorted) (VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Vy $$unsorted)) (let ((_let_1 (tptp.vvar Vy))) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 _let_1)) (=> (not (= Vx Vy)) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT _let_1)))))) (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Ve1 $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Ve2 $$unsorted)) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vapp Ve1 Ve2))) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT (tptp.vapp (tptp.vsubst Vx Ve Ve1) (tptp.vsubst Vx Ve Ve2)))))) (forall ((Ve $$unsorted) (Vx $$unsorted) (VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Vy $$unsorted) (VT $$unsorted) (Ve1 $$unsorted)) (let ((_let_1 (tptp.vabs Vy VT Ve1))) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 _let_1)) (=> (= Vx Vy) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT _let_1)))))) (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (VT $$unsorted) (Vy $$unsorted) (Vfresh $$unsorted) (Ve1 $$unsorted)) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vabs Vy VT Ve1))) (=> (and (not (= Vx Vy)) (tptp.visFreeVar Vy Ve) (= Vfresh (tptp.vgensym (tptp.vapp (tptp.vapp Ve Ve1) (tptp.vvar Vx))))) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT (tptp.vsubst Vx Ve (tptp.vabs Vfresh VT (tptp.vsubst Vy (tptp.vvar Vfresh) Ve1)))))))) (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (RESULT $$unsorted) (Vy $$unsorted) (VT $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (Ve1 $$unsorted)) (=> (and (= VVar0 Vx) (= VExp0 Ve) (= VExp1 (tptp.vabs Vy VT Ve1))) (=> (and (not (= Vx Vy)) (not (tptp.visFreeVar Vy Ve))) (=> (= RESULT (tptp.vsubst VVar0 VExp0 VExp1)) (= RESULT (tptp.vabs Vy VT (tptp.vsubst Vx Ve Ve1))))))) _let_7 (forall ((VTyp0 $$unsorted) (VTyp1 $$unsorted) (VTyp2 $$unsorted) (VTyp3 $$unsorted)) (let ((_let_1 (= (tptp.varrow VTyp0 VTyp1) (tptp.varrow VTyp2 VTyp3)))) (let ((_let_2 (and (= VTyp0 VTyp2) (= VTyp1 VTyp3)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) (forall ((VC $$unsorted) (Vx $$unsorted) (VT $$unsorted)) (=> (= (tptp.vlookup Vx VC) (tptp.vsomeType VT)) (tptp.vtcheck VC (tptp.vvar Vx) VT))) (forall ((VC $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (VS $$unsorted) (VT $$unsorted)) (=> (tptp.vtcheck (tptp.vbind Vx VS VC) Ve VT) (tptp.vtcheck VC (tptp.vabs Vx VS Ve) (tptp.varrow VS VT)))) (forall ((VS $$unsorted) (VC $$unsorted) (Ve1 $$unsorted) (Ve2 $$unsorted) (VT $$unsorted)) (=> (and (tptp.vtcheck VC Ve1 (tptp.varrow VS VT)) (tptp.vtcheck VC Ve2 VS)) (tptp.vtcheck VC (tptp.vapp Ve1 Ve2) VT))) (forall ((Ve $$unsorted) (VT $$unsorted) (VC $$unsorted)) (=> (tptp.vtcheck VC Ve VT) (or (exists ((Vx $$unsorted)) (and (= Ve (tptp.vvar Vx)) (= (tptp.vlookup Vx VC) (tptp.vsomeType VT)))) (exists ((Vx $$unsorted) (Ve2 $$unsorted) (VT1 $$unsorted) (VT2 $$unsorted)) (and (= Ve (tptp.vabs Vx VT1 Ve2)) (= VT (tptp.varrow VT1 VT2)) (tptp.vtcheck (tptp.vbind Vx VT1 VC) Ve2 VT2))) (exists ((Ve1 $$unsorted) (Ve2 $$unsorted) (VS $$unsorted)) (and (= Ve (tptp.vapp Ve1 Ve2)) (tptp.vtcheck VC Ve1 (tptp.varrow VS VT)) (tptp.vtcheck VC Ve2 VS)))))) (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (= (tptp.vlookup Vx VC) tptp.vnoType) (tptp.vtcheck VC Ve VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) Ve VT))) (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (not (tptp.visFreeVar Vx Ve)) (tptp.vtcheck (tptp.vbind Vx VS VC) Ve VT)) (tptp.vtcheck VC Ve VT))) (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (not (tptp.visFreeVar Vx Ve)) (tptp.vtcheck VC Ve VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) Ve VT))) (forall ((Ve $$unsorted)) (tptp.valphaEquivalent Ve Ve)) (forall ((Ve2 $$unsorted) (Ve1 $$unsorted)) (=> (tptp.valphaEquivalent Ve1 Ve2) (tptp.valphaEquivalent Ve2 Ve1))) (forall ((Ve2 $$unsorted) (Ve1 $$unsorted) (Ve3 $$unsorted)) (=> (and (tptp.valphaEquivalent Ve1 Ve2) (tptp.valphaEquivalent Ve2 Ve3)) (tptp.valphaEquivalent Ve1 Ve3))) _let_6 _let_5 (forall ((Ve $$unsorted) (Vx $$unsorted) (Ve1 $$unsorted)) (=> (and (not (tptp.visFreeVar Vx Ve)) (tptp.valphaEquivalent Ve Ve1)) (not (tptp.visFreeVar Vx Ve1)))) _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 41.59/41.76 )
% 41.59/41.76 % SZS output end Proof for COM132+2
% 41.59/41.76 % cvc5---1.0.5 exiting
% 41.59/41.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------