%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 18:37:17 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n005.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 13:23:52 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.63  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wENXhcCsev/cvc5---1.0.5_18223.p...
% 0.21/0.63  ------- get file name : TPTP file name is COM138+1
% 0.21/0.63  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18223.smt2...
% 0.21/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63  % SZS status Theorem for COM138+1
% 0.21/0.63  % SZS output start Proof for COM138+1
% 0.21/0.63  (
% 0.21/0.63  (let ((_let_1 (not (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Vy $$unsorted) (VT $$unsorted)) (let ((_let_1 (tptp.vvar Vy))) (=> (and (not (tptp.visFreeVar Vx _let_1)) (tptp.vtcheck (tptp.vbind Vx VS VC) _let_1 VT)) (tptp.vtcheck VC _let_1 VT))))))) (let ((_let_2 (forall ((Ve $$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_3 (forall ((VC $$unsorted) (Vx $$unsorted) (VT $$unsorted)) (=> (= (tptp.vlookup Vx VC) (tptp.vsomeType VT)) (tptp.vtcheck VC (tptp.vvar Vx) VT))))) (let ((_let_4 (= tptp.vnoExp tptp.vnoExp))) (let ((_let_5 (forall ((VTy $$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_6 (= tptp.vnoType tptp.vnoType))) (let ((_let_7 (= tptp.vempty tptp.vempty))) (let ((_let_8 (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)))))))) (let ((_let_9 (forall ((Vx $$unsorted) (VExp0 $$unsorted)) (=> (= VExp0 (tptp.vvar Vx)) (not (tptp.visValue VExp0)))))) (let ((_let_10 (forall ((Vx $$unsorted) (VS $$unsorted) (Ve $$unsorted) (VExp0 $$unsorted)) (=> (= VExp0 (tptp.vabs Vx VS Ve)) (tptp.visValue VExp0))))) (let ((_let_11 (forall ((VVar0 $$unsorted) (VExp0 $$unsorted) (VExp1 $$unsorted)) (not (= (tptp.vvar VVar0) (tptp.vapp VExp0 VExp1)))))) (let ((_let_12 (forall ((VVar0 $$unsorted) (VVar1 $$unsorted)) (let ((_let_1 (= (tptp.vvar VVar0) (tptp.vvar VVar1)))) (let ((_let_2 (= VVar0 VVar1))) (and (=> _let_1 _let_2) (=> _let_2 _let_1))))))) (let ((_let_13 (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.visValue _let_13))) (let ((_let_15 (tptp.vabs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_16 (tptp.visValue _let_15))) (let ((_let_17 (= _let_13 _let_15))) (let ((_let_18 (forall ((Vx $$unsorted)) (not (tptp.visValue (tptp.vvar Vx)))))) (let ((_let_19 (not _let_14))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (forall ((Vx $$unsorted) (VS $$unsorted) (Ve $$unsorted)) (tptp.visValue (tptp.vabs Vx VS Ve))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (not (tptp.vtcheck (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_23) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_25 (tptp.varrow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_26 (not _let_17))) (let ((_let_27 (or _let_26 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_25)) _let_24))) (let ((_let_28 (forall ((Vx $$unsorted) (Ve2 $$unsorted) (VT1 $$unsorted) (VT2 $$unsorted)) (or (not (= (tptp.vabs Vx VT1 Ve2) (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (= (tptp.varrow VT1 VT2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.vtcheck (tptp.vbind Vx VT1 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) Ve2 VT2)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (forall ((Ve1 $$unsorted) (Ve2 $$unsorted) (VS $$unsorted)) (let ((_let_1 (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (= (tptp.vapp Ve1 Ve2) (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (tptp.vtcheck _let_1 Ve1 (tptp.varrow VS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (not (tptp.vtcheck _let_1 Ve2 VS))))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_28))) (let ((_let_33 (forall ((Vx $$unsorted)) (or (not (= (tptp.vvar Vx) (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (= (tptp.vsomeType SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.vlookup Vx (tptp.vbind SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.vtcheck _let_23 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_32 _let_31))) (let ((_let_38 (forall ((Ve $$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_39 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (not (tptp.vtcheck _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_41 (not (tptp.vtcheck _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.varrow SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_42 (tptp.vapp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_43 (= _let_13 _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_41 _let_40))) (let ((_let_46 (_let_11))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (or))) (let ((_let_49 (_let_31))) (let ((_let_50 (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_23))) (let ((_let_51 (tptp.vsomeType SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.vvar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_55 (= _let_13 _let_54))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_53))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_59 (or _let_56 _let_58))) (let ((_let_60 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_61 (tptp.vtcheck SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_62 (tptp.vlookup SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_63 (= _let_51 _let_62))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_61))) (let ((_let_66 (= _let_50 _let_62))) (let ((_let_67 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (tptp.visFreeVar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_70 (tptp.visFreeVar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_13))) (let ((_let_71 (REFL :args (_let_57)))) (let ((_let_72 (forall ((BOUND_VARIABLE_1705 $$unsorted) (BOUND_VARIABLE_1707 $$unsorted)) (or (not (= (tptp.vvar BOUND_VARIABLE_1705) (tptp.vvar BOUND_VARIABLE_1707))) (= BOUND_VARIABLE_1705 BOUND_VARIABLE_1707))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (or _let_69 _let_36 _let_60))) (let ((_let_75 (not _let_60))) (let ((_let_76 (forall ((Vx $$unsorted) (VS $$unsorted) (VC $$unsorted) (Vy $$unsorted) (VT $$unsorted)) (let ((_let_1 (tptp.vvar Vy))) (or (tptp.visFreeVar Vx _let_1) (not (tptp.vtcheck (tptp.vbind Vx VS VC) _let_1 VT)) (tptp.vtcheck VC _let_1 VT)))))) (let ((_let_77 (not _let_74))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (not _let_76))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_78) :args (_let_79))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_76))) (REFL :args (_let_77)) :args _let_48)) _let_78 :args (_let_77 true _let_76)))) (let ((_let_81 (and _let_75 _let_55))) (let ((_let_82 (_let_75 _let_55))) (let ((_let_83 (ASSUME :args (_let_75)))) (let ((_let_84 (ASSUME :args (_let_55)))) (let ((_let_85 (forall ((VC $$unsorted) (Vx $$unsorted) (VT $$unsorted)) (or (not (= (tptp.vlookup Vx VC) (tptp.vsomeType VT))) (tptp.vtcheck VC (tptp.vvar Vx) VT))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (and _let_52 _let_64))) (let ((_let_88 (ASSUME :args (_let_64)))) (let ((_let_89 (ASSUME :args (_let_52)))) (let ((_let_90 (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_91 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_69))) (let ((_let_93 (forall ((BOUND_VARIABLE_1950 $$unsorted)) (tptp.visFreeVar BOUND_VARIABLE_1950 (tptp.vvar BOUND_VARIABLE_1950))))) (let ((_let_94 (_let_93))) (let ((_let_95 (ASSUME :args (_let_70)))) (let ((_let_96 (ASSUME :args (_let_58)))) (let ((_let_97 (ASSUME :args (_let_67)))) (let ((_let_98 (ASSUME :args (_let_92)))) (let ((_let_99 (_let_34))) (let ((_let_100 (_let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_16)))) (CONG (SYMM (ASSUME :args (_let_17))) :args (APPLY_UF tptp.visValue)) (FALSE_INTRO (ASSUME :args (_let_19))))) :args (_let_19 _let_17 _let_16))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args (_let_26)) (REFL :args ((not _let_16))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_17))) :args _let_48)) :args ((or _let_17 _let_27))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100) (REWRITE :args ((=> _let_32 (not (or (not (= _let_15 _let_13)) (not (= _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_24))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 _let_32 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG (REFL :args (_let_74)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_48)) :args ((or _let_35 _let_74))) _let_80 :args (_let_35 true _let_74)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99) (REWRITE :args ((=> _let_34 (not (or (not (= _let_54 _let_13)) _let_53))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) (REFL :args ((not _let_57))) :args _let_48)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 _let_96 _let_97 _let_98) :args (_let_92 _let_70 _let_58 _let_67)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_98)) (CONG (TRANS (SYMM (SYMM _let_97)) (SYMM _let_96)) (REFL :args (_let_13)) :args (APPLY_UF tptp.visFreeVar)) (TRUE_INTRO _let_95))) :args (_let_70 _let_58 _let_67 _let_92)) :args ((not (and _let_92 _let_70 _let_58 _let_67)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_69))) (REFL :args ((not _let_70))) (REFL :args ((not _let_58))) (REFL :args ((not _let_67))) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vvar BOUND_VARIABLE_1950)))) :args _let_94)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_70 false _let_93)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 0)) _let_80 :args (_let_92 true _let_74)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_66 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.vlookup Vx (tptp.vbind Vy VTy VC))))) :args (_let_90)))) _let_91 :args (_let_68 false _let_90)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_89) (REFL :args (_let_62)) :args (=)) (FALSE_INTRO _let_88))) :args (_let_64 _let_52))) :args (_let_52 _let_64))) :args (true _let_87)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) (REFL :args ((not _let_66))) :args _let_48)) (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_61 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.vtcheck VC (tptp.vvar Vx) VT) true))))) :args (_let_85)))) _let_86 :args (_let_65 false _let_85)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_84) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (SYMM _let_84) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.vtcheck)) (FALSE_INTRO _let_83))) :args _let_82)) :args _let_82)) :args (true _let_81)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_60))) (REFL :args (_let_56)) (REFL :args ((not _let_61))) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_74 2)) _let_80 :args (_let_75 true _let_74)) (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_56 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args 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$$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))))) _let_3 (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))) _let_2 (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))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63  )
% 0.21/0.63  % SZS output end Proof for COM138+1
% 0.21/0.63  % cvc5---1.0.5 exiting
% 0.21/0.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------