TSTP Solution File: COM139+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COM139+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 18:37:18 EDT 2023
% Result : Theorem 25.86s 26.14s
% Output : Proof 25.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM139+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:46:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 25.86/26.14 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.hGezWRgHw3/cvc5---1.0.5_28212.p...
% 25.86/26.14 ------- get file name : TPTP file name is COM139+1
% 25.86/26.14 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28212.smt2...
% 25.86/26.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.86/26.14 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.86/26.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.86/26.14 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.86/26.14 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.86/26.14 % SZS status Theorem for COM139+1
% 25.86/26.14 % SZS output start Proof for COM139+1
% 25.86/26.14 (
% 25.86/26.14 (let ((_let_1 (not (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Vy $$unsorted) (VS1 $$unsorted) (VT $$unsorted)) (let ((_let_1 (tptp.vabs Vy VS1 tptp.veabs))) (=> (and (not (= Vx Vy)) (= (tptp.vlookup Vx VC) tptp.vnoType) (tptp.vtcheck VC _let_1 VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) _let_1 VT))))))) (let ((_let_2 (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (VT $$unsorted)) (=> (and (= (tptp.vlookup Vx VC) tptp.vnoType) (tptp.vtcheck VC tptp.veabs VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) tptp.veabs VT))))) (let ((_let_3 (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 $$unsorted)) (and (= Ve (tptp.vapp Ve1 Ve2)) (tptp.vtcheck VC Ve1 (tptp.varrow VS VT)) (tptp.vtcheck VC Ve2 VS)))))))) (let ((_let_4 (forall ((VC $$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)))))) (let ((_let_5 (= tptp.vnoExp tptp.vnoExp))) (let ((_let_6 (forall ((Vy $$unsorted) (VTy $$unsorted) (Vx $$unsorted) (VTx $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (=> (and (not (= Vx Vy)) (tptp.vtcheck (tptp.vbind Vx VTx (tptp.vbind Vy VTy VC)) Ve VT)) (tptp.vtcheck (tptp.vbind Vy VTy (tptp.vbind Vx VTx VC)) Ve VT))))) (let ((_let_7 (forall ((VTy $$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)))))))) (let ((_let_8 (= tptp.vnoType tptp.vnoType))) (let ((_let_9 (= tptp.vempty tptp.vempty))) (let ((_let_10 (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted) (VExp2 $$unsorted)) (not (= (tptp.vabs VVar0 VTyp0 VExp0) (tptp.vapp VExp1 VExp2)))))) (let ((_let_11 (forall ((VVar0 $$unsorted) (VVar1 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted)) (not (= (tptp.vvar VVar0) (tptp.vabs VVar1 VTyp0 VExp0)))))) (let ((_let_12 (forall ((VVar0 $$unsorted) (VTyp0 $$unsorted) (VExp0 $$unsorted) (VVar1 $$unsorted) (VTyp1 $$unsorted) (VExp1 $$unsorted)) (let ((_let_1 (= (tptp.vabs VVar0 VTyp0 VExp0) (tptp.vabs VVar1 VTyp1 VExp1)))) (let ((_let_2 (and (= VVar0 VVar1) (= VTyp0 VTyp1) (= VExp0 VExp1)))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))))) (let ((_let_13 (tptp.vapp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_14 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.veabs))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (_let_10))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)))) (let ((_let_19 (not (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 (tptp.varrow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_20 (not _let_15))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (forall ((Ve1 $$unsorted) (Ve2 $$unsorted) (VS $$unsorted)) (or (not (= (tptp.vapp Ve1 Ve2) (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.veabs))) (not (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Ve1 (tptp.varrow VS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (not (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Ve2 VS)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (forall ((Vx $$unsorted) (Ve2 $$unsorted) (VT1 $$unsorted) (VT2 $$unsorted)) (or (not (= (tptp.vabs Vx VT1 Ve2) (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.veabs))) (not (= (tptp.varrow VT1 VT2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.vtcheck (tptp.vbind Vx VT1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) Ve2 VT2)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (forall ((Vx $$unsorted)) (or (not (= (tptp.vvar Vx) (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.veabs))) (not (= (tptp.vlookup Vx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.vsomeType SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26 _let_24))) (let ((_let_32 (forall ((Ve $$unsorted) (VT $$unsorted) (VC $$unsorted)) (or (not (tptp.vtcheck VC Ve VT)) (not (forall ((Vx $$unsorted)) (or (not (= Ve (tptp.vvar Vx))) (not (= (tptp.vlookup Vx VC) (tptp.vsomeType VT)))))) (not (forall ((Vx $$unsorted) (Ve2 $$unsorted) (VT1 $$unsorted) (VT2 $$unsorted)) (or (not (= Ve (tptp.vabs Vx VT1 Ve2))) (not (= VT (tptp.varrow VT1 VT2))) (not (tptp.vtcheck (tptp.vbind Vx VT1 VC) Ve2 VT2))))) (not (forall ((Ve1 $$unsorted) (Ve2 $$unsorted) (VS $$unsorted)) (or (not (= Ve (tptp.vapp Ve1 Ve2))) (not (tptp.vtcheck VC Ve1 (tptp.varrow VS VT))) (not (tptp.vtcheck VC Ve2 VS))))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (tptp.vtcheck _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.varrow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_41 (= _let_14 _let_40))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_39 _let_36))) (let ((_let_44 (= tptp.veabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_45 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_46 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_47 (and _let_46 _let_45 _let_44))) (let ((_let_48 (or _let_42 _let_47))) (let ((_let_49 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_50 (tptp.vtcheck _let_49 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_51 (tptp.vtcheck _let_49 _let_14 (tptp.varrow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_52 (tptp.vtcheck (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_49) tptp.veabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_57 (tptp.vtcheck (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_56) tptp.veabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_55 _let_58 _let_52))) (let ((_let_60 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_61 (tptp.vtcheck _let_56 tptp.veabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_62 (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_63 (= _let_62 (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34)))) (let ((_let_64 (or _let_60 _let_63))) (let ((_let_65 (not _let_61))) (let ((_let_66 (= tptp.vnoType (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_56)))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_57))) (let ((_let_69 (= tptp.vnoType _let_62))) (let ((_let_70 (or))) (let ((_let_71 (REFL :args (_let_43)))) (let ((_let_72 (forall ((BOUND_VARIABLE_1753 $$unsorted) (BOUND_VARIABLE_1755 $$unsorted) (BOUND_VARIABLE_1757 $$unsorted) (BOUND_VARIABLE_1759 $$unsorted) (BOUND_VARIABLE_1761 $$unsorted) (BOUND_VARIABLE_1763 $$unsorted)) (or (not (= (tptp.vabs BOUND_VARIABLE_1753 BOUND_VARIABLE_1755 BOUND_VARIABLE_1757) (tptp.vabs BOUND_VARIABLE_1759 BOUND_VARIABLE_1761 BOUND_VARIABLE_1763))) (and (= BOUND_VARIABLE_1753 BOUND_VARIABLE_1759) (= BOUND_VARIABLE_1755 BOUND_VARIABLE_1761) (= BOUND_VARIABLE_1757 BOUND_VARIABLE_1763)))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (not _let_47))) (let ((_let_75 (not _let_69))) (let ((_let_76 (or _let_55 _let_75 _let_30 _let_50))) (let ((_let_77 (not _let_50))) (let ((_let_78 (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Vy $$unsorted) (VS1 $$unsorted) (VT $$unsorted)) (let ((_let_1 (tptp.vabs Vy VS1 tptp.veabs))) (or (= Vx Vy) (not (= tptp.vnoType (tptp.vlookup Vx VC))) (not (tptp.vtcheck VC _let_1 VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) _let_1 VT)))))) (let ((_let_79 (not _let_76))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (not _let_78))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_80) :args (_let_81))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_78))) (REFL :args (_let_79)) :args _let_70)) _let_80 :args (_let_79 true _let_78)))) (let ((_let_83 (not _let_45))) (let ((_let_84 (and _let_77 _let_38 _let_45))) (let ((_let_85 (_let_77 _let_38 _let_45))) (let ((_let_86 (ASSUME :args (_let_77)))) (let ((_let_87 (APPLY_UF tptp.vtcheck))) (let ((_let_88 (ASSUME :args (_let_38)))) (let ((_let_89 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_90 (ASSUME :args (_let_45)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (forall ((VC $$unsorted) (Vx $$unsorted) (Ve $$unsorted) (VS $$unsorted) (VT $$unsorted)) (or (not (tptp.vtcheck (tptp.vbind Vx VS VC) Ve VT)) (tptp.vtcheck VC (tptp.vabs Vx VS Ve) (tptp.varrow VS VT)))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (not _let_55))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 0)) _let_82 :args (_let_95 true _let_76)))) (let ((_let_97 (forall ((Vy $$unsorted) (VTy $$unsorted) (Vx $$unsorted) (VTx $$unsorted) (VC $$unsorted) (Ve $$unsorted) (VT $$unsorted)) (or (= Vy Vx) (not (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 ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (not _let_46))) (let ((_let_100 (and _let_95 _let_46))) (let ((_let_101 (_let_95 _let_46))) (let ((_let_102 (ASSUME :args (_let_95)))) (let ((_let_103 (ASSUME :args (_let_46)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_106 (and _let_35 _let_46 _let_45 _let_44))) (let ((_let_107 (_let_35 _let_46 _let_45 _let_44))) (let ((_let_108 (ASSUME :args (_let_35)))) (let ((_let_109 (ASSUME :args (_let_44)))) (let ((_let_110 (APPLY_UF tptp.vbind))) (let ((_let_111 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_112 (forall ((VTy $$unsorted) (Vy $$unsorted) (Vx $$unsorted) (VC $$unsorted)) (or (= Vy Vx) (= (tptp.vlookup Vx VC) (tptp.vlookup Vx (tptp.vbind Vy VTy VC))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (VT $$unsorted)) (or (not (= tptp.vnoType (tptp.vlookup Vx VC))) (not (tptp.vtcheck VC tptp.veabs VT)) (tptp.vtcheck (tptp.vbind Vx VS VC) tptp.veabs VT))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (REFL :args (_let_76)))) (let ((_let_117 (and _let_69 _let_46 _let_45 _let_63))) (let ((_let_118 (ASSUME :args (_let_63)))) (let ((_let_119 (ASSUME :args (_let_69)))) (let ((_let_120 (_let_26))) (let ((_let_121 (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_122 (tptp.vsomeType SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_123 (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_124 (= _let_14 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 (not (= _let_122 _let_121))))) (let ((_let_127 (_let_11))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (_let_28))) (let ((_let_130 (_let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.veabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_15))) :args _let_70)) :args ((or _let_15 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130) (REWRITE :args ((=> _let_24 (not (or (not (= _let_13 _let_14)) _let_19 _let_18))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_26 _let_24 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 2)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_70)) :args ((or _let_29 _let_76))) _let_82 :args (_let_29 true _let_76)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129) (REWRITE :args ((=> _let_28 (not (or (not (= _let_123 _let_14)) (not (= _let_121 _let_122))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) (REFL :args ((not _let_126))) :args _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 0)) (CONG (REFL :args (_let_126)) (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) :args _let_70)) :args ((or _let_124 _let_126))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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$$unsorted) (Vx $$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)))))))) (and (=> _let_5 true) (=> true _let_5)) (forall ((VExp0 $$unsorted) (VExp1 $$unsorted)) (let ((_let_1 (= (tptp.vsomeExp VExp0) (tptp.vsomeExp VExp1)))) (let ((_let_2 (= VExp0 VExp1))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))) (forall ((VExp0 $$unsorted)) (not (= tptp.vnoExp (tptp.vsomeExp VExp0)))) (forall ((VOptExp0 $$unsorted)) (=> (= VOptExp0 tptp.vnoExp) (not (tptp.visSomeExp VOptExp0)))) (forall ((Ve $$unsorted) (VOptExp0 $$unsorted)) (=> (= VOptExp0 (tptp.vsomeExp Ve)) (tptp.visSomeExp VOptExp0))) (forall ((VOptExp0 $$unsorted) (RESULT $$unsorted) (Ve $$unsorted)) (=> (= VOptExp0 (tptp.vsomeExp Ve)) (=> (= RESULT (tptp.vgetSomeExp VOptExp0)) (= RESULT Ve)))) (forall ((Vx $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted)) (=> (= VExp0 (tptp.vvar Vx)) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT tptp.vnoExp)))) (forall ((Vx $$unsorted) (VS $$unsorted) (Ve $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted)) (=> (= VExp0 (tptp.vabs Vx VS Ve)) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT tptp.vnoExp)))) (forall ((Ve2 $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted) (Vx $$unsorted) (VS $$unsorted) (Ve1 $$unsorted) (Ve2red $$unsorted)) (let ((_let_1 (tptp.vabs Vx VS Ve1))) (=> (= VExp0 (tptp.vapp _let_1 Ve2)) (=> (and (= Ve2red (tptp.vreduce Ve2)) (tptp.visSomeExp Ve2red)) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT (tptp.vsomeExp (tptp.vapp _let_1 (tptp.vgetSomeExp Ve2red))))))))) (forall ((VS $$unsorted) (Ve2red $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted) (Vx $$unsorted) (Ve2 $$unsorted) (Ve1 $$unsorted)) (=> (= VExp0 (tptp.vapp (tptp.vabs Vx VS Ve1) Ve2)) (=> (and (= Ve2red (tptp.vreduce Ve2)) (not (tptp.visSomeExp Ve2red)) (tptp.visValue Ve2)) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT (tptp.vsomeExp (tptp.vsubst Vx Ve2 Ve1))))))) (forall ((Vx $$unsorted) (VS $$unsorted) (Ve1 $$unsorted) (Ve2red $$unsorted) (Ve2 $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted)) (=> (= VExp0 (tptp.vapp (tptp.vabs Vx VS Ve1) Ve2)) (=> (and (= Ve2red (tptp.vreduce Ve2)) (not (tptp.visSomeExp Ve2red)) (not (tptp.visValue Ve2))) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT tptp.vnoExp))))) (forall ((Ve1 $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted) (Ve1red $$unsorted) (Ve2 $$unsorted)) (=> (and (= VExp0 (tptp.vapp Ve1 Ve2)) (forall ((VVx0 $$unsorted) (VVS0 $$unsorted) (VVe10 $$unsorted)) (not (= Ve1 (tptp.vabs VVx0 VVS0 VVe10))))) (=> (and (= Ve1red (tptp.vreduce Ve1)) (tptp.visSomeExp Ve1red)) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp Ve1red) Ve2))))))) (forall ((Ve2 $$unsorted) (Ve1 $$unsorted) (Ve1red $$unsorted) (VExp0 $$unsorted) (RESULT $$unsorted)) (=> (and (= VExp0 (tptp.vapp Ve1 Ve2)) (forall ((VVx0 $$unsorted) (VVS0 $$unsorted) (VVe10 $$unsorted)) (not (= Ve1 (tptp.vabs VVx0 VVS0 VVe10))))) (=> (and (= Ve1red (tptp.vreduce Ve1)) (not (tptp.visSomeExp Ve1red))) (=> (= RESULT (tptp.vreduce VExp0)) (= RESULT tptp.vnoExp))))) (forall ((VExp0 $$unsorted) (RESULT $$unsorted)) (=> (= (tptp.vreduce VExp0) RESULT) (or (exists ((Vx $$unsorted)) (and (= VExp0 (tptp.vvar Vx)) (= RESULT tptp.vnoExp))) (exists ((Vx $$unsorted) (VS $$unsorted) (Ve $$unsorted)) (and (= VExp0 (tptp.vabs Vx VS Ve)) (= RESULT tptp.vnoExp))) (exists ((Ve2 $$unsorted) (Vx $$unsorted) (VS $$unsorted) (Ve1 $$unsorted) (Ve2red $$unsorted)) (let ((_let_1 (tptp.vabs Vx VS Ve1))) (and (= VExp0 (tptp.vapp _let_1 Ve2)) (= Ve2red (tptp.vreduce Ve2)) (tptp.visSomeExp Ve2red) (= RESULT (tptp.vsomeExp (tptp.vapp _let_1 (tptp.vgetSomeExp Ve2red))))))) (exists ((VS $$unsorted) (Ve2red $$unsorted) (Vx $$unsorted) (Ve2 $$unsorted) (Ve1 $$unsorted)) (and (= VExp0 (tptp.vapp (tptp.vabs Vx VS Ve1) Ve2)) (= Ve2red (tptp.vreduce Ve2)) (not (tptp.visSomeExp Ve2red)) (tptp.visValue Ve2) (= RESULT (tptp.vsomeExp (tptp.vsubst Vx Ve2 Ve1))))) (exists ((Vx $$unsorted) (VS $$unsorted) (Ve1 $$unsorted) (Ve2red $$unsorted) (Ve2 $$unsorted)) (and (= VExp0 (tptp.vapp (tptp.vabs Vx VS Ve1) Ve2)) (= Ve2red (tptp.vreduce Ve2)) (not (tptp.visSomeExp Ve2red)) (not (tptp.visValue Ve2)) (= RESULT tptp.vnoExp))) (exists ((Ve1 $$unsorted) (Ve1red $$unsorted) (Ve2 $$unsorted)) (and (= VExp0 (tptp.vapp Ve1 Ve2)) (forall ((VVx0 $$unsorted) (VVS0 $$unsorted) (VVe10 $$unsorted)) (not (= Ve1 (tptp.vabs VVx0 VVS0 VVe10)))) (= Ve1red (tptp.vreduce Ve1)) (tptp.visSomeExp Ve1red) (= RESULT (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp Ve1red) Ve2))))) (exists ((Ve2 $$unsorted) (Ve1 $$unsorted) (Ve1red $$unsorted)) (and (= VExp0 (tptp.vapp Ve1 Ve2)) (forall ((VVx0 $$unsorted) (VVS0 $$unsorted) (VVe10 $$unsorted)) (not (= Ve1 (tptp.vabs VVx0 VVS0 VVe10)))) (= Ve1red (tptp.vreduce Ve1)) (not (tptp.visSomeExp Ve1red)) (= RESULT tptp.vnoExp)))))) (forall ((VTyp0 $$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))) _let_4 (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))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.86/26.14 )
% 25.86/26.14 % SZS output end Proof for COM139+1
% 25.86/26.14 % cvc5---1.0.5 exiting
% 25.86/26.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------