%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE054+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 : Thu Aug 31 05:27:06 EDT 2023

% Result   : Theorem 11.19s 11.45s
% Output   : Proof 11.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : KLE054+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 11:43:43 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 11.19/11.45  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.c1wqYcQSYj/cvc5---1.0.5_18992.p...
% 11.19/11.45  ------- get file name : TPTP file name is KLE054+1
% 11.19/11.45  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18992.smt2...
% 11.19/11.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.19/11.45  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.19/11.45  % SZS status Theorem for KLE054+1
% 11.19/11.45  % SZS output start Proof for KLE054+1
% 11.19/11.45  (
% 11.19/11.45  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.addition (tptp.domain (tptp.multiplication X0 X1)) _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.domain _let_14))) (let ((_let_16 (tptp.addition _let_15 _let_13))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_19 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_18))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_21 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23)))) (let ((_let_25 (tptp.addition _let_13 tptp.one))) (let ((_let_26 (= tptp.one _let_25))) (let ((_let_27 (tptp.multiplication _let_13 tptp.one))) (let ((_let_28 (= _let_13 _let_27))) (let ((_let_29 (tptp.multiplication tptp.one _let_13))) (let ((_let_30 (= _let_13 _let_29))) (let ((_let_31 (tptp.multiplication (tptp.domain _let_13) _let_13))) (let ((_let_32 (= _let_31 (tptp.addition _let_13 _let_31)))) (let ((_let_33 (= (tptp.domain _let_21) (tptp.domain _let_29)))) (let ((_let_34 (tptp.addition _let_14 tptp.zero))) (let ((_let_35 (= (tptp.addition tptp.zero _let_14) _let_34))) (let ((_let_36 (= _let_14 _let_34))) (let ((_let_37 (tptp.multiplication tptp.one _let_14))) (let ((_let_38 (= _let_14 _let_37))) (let ((_let_39 (tptp.addition _let_15 tptp.one))) (let ((_let_40 (= tptp.one _let_39))) (let ((_let_41 (tptp.multiplication tptp.one _let_15))) (let ((_let_42 (= _let_15 _let_41))) (let ((_let_43 (= (tptp.domain _let_37) (tptp.domain _let_41)))) (let ((_let_44 (= _let_16 (tptp.addition _let_13 _let_15)))) (let ((_let_45 (tptp.domain tptp.one))) (let ((_let_46 (tptp.multiplication _let_45 tptp.one))) (let ((_let_47 (= _let_46 (tptp.addition tptp.one _let_46)))) (let ((_let_48 (tptp.addition _let_45 tptp.one))) (let ((_let_49 (= tptp.one _let_48))) (let ((_let_50 (= _let_45 _let_46))) (let ((_let_51 (= _let_48 (tptp.addition tptp.one _let_45)))) (let ((_let_52 (tptp.addition tptp.one _let_13))) (let ((_let_53 (= _let_25 _let_52))) (let ((_let_54 (tptp.multiplication _let_13 _let_13))) (let ((_let_55 (= (tptp.multiplication _let_13 _let_52) (tptp.addition _let_27 _let_54)))) (let ((_let_56 (= (tptp.multiplication _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_21 _let_23)))) (let ((_let_57 (= _let_39 (tptp.addition tptp.one _let_15)))) (let ((_let_58 (tptp.domain _let_15))) (let ((_let_59 (= (tptp.multiplication _let_13 (tptp.addition _let_45 _let_58)) (tptp.addition (tptp.multiplication _let_13 _let_45) (tptp.multiplication _let_13 _let_58))))) (let ((_let_60 (tptp.multiplication _let_13 _let_14))) (let ((_let_61 (tptp.multiplication _let_13 _let_15))) (let ((_let_62 (tptp.domain _let_61))) (let ((_let_63 (= _let_62 (tptp.domain _let_60)))) (let ((_let_64 (= _let_60 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_65 (= (tptp.domain (tptp.addition _let_54 _let_61)) (tptp.addition (tptp.domain _let_54) _let_62)))) (let ((_let_66 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= _let_1 (tptp.addition (tptp.domain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_67 (not _let_17))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (or))) (let ((_let_70 (_let_67))) (let ((_let_71 (not _let_66))) (let ((_let_72 (_let_12))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_78 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 (_let_13 QUANTIFIERS_INST_ENUM))) (let ((_let_91 (_let_4))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (_let_14 QUANTIFIERS_INST_ENUM))) (let ((_let_94 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_95 (_let_7))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (_let_6))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (_let_10))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (_let_2))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (not _let_65))) (let ((_let_104 (_let_103))) (let ((_let_105 (ASSUME :args (_let_65)))) (let ((_let_106 (ASSUME :args _let_70))) (let ((_let_107 (ASSUME :args (_let_44)))) (let ((_let_108 (APPLY_UF tptp.addition))) (let ((_let_109 (APPLY_UF tptp.domain))) (let ((_let_110 (ASSUME :args (_let_36)))) (let ((_let_111 (ASSUME :args (_let_35)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (CONG (TRANS (SYMM _let_112) (SYMM _let_110)) :args _let_109))) (let ((_let_114 (APPLY_UF tptp.multiplication))) (let ((_let_115 (ASSUME :args (_let_22)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (ASSUME :args (_let_26)))) (let ((_let_118 (ASSUME :args (_let_53)))) (let ((_let_119 (TRANS (SYMM _let_118) (SYMM _let_117)))) (let ((_let_120 (ASSUME :args (_let_56)))) (let ((_let_121 (ASSUME :args (_let_24)))) (let ((_let_122 (ASSUME :args (_let_64)))) (let ((_let_123 (ASSUME :args (_let_63)))) (let ((_let_124 (ASSUME :args (_let_20)))) (let ((_let_125 (ASSUME :args (_let_19)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (CONG (TRANS (SYMM _let_126) (SYMM _let_124)) :args _let_109))) (let ((_let_128 (CONG (TRANS _let_116 _let_124 _let_126) :args _let_109))) (let ((_let_129 (ASSUME :args (_let_33)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (ASSUME :args (_let_30)))) (let ((_let_132 (CONG (SYMM (SYMM _let_131)) :args _let_109))) (let ((_let_133 (ASSUME :args (_let_28)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (REFL :args (_let_13)))) (let ((_let_136 (ASSUME :args (_let_55)))) (let ((_let_137 (CONG (TRANS _let_132 _let_130 _let_128 _let_127) _let_135 :args _let_114))) (let ((_let_138 (ASSUME :args (_let_32)))) (let ((_let_139 (TRANS (SYMM _let_137) (SYMM (SYMM _let_138)) (CONG _let_133 _let_137 :args _let_108) (SYMM _let_136) (CONG _let_135 _let_119 :args _let_114) _let_134))) (let ((_let_140 (ASSUME :args (_let_40)))) (let ((_let_141 (ASSUME :args (_let_57)))) (let ((_let_142 (ASSUME :args (_let_38)))) (let ((_let_143 (ASSUME :args (_let_43)))) (let ((_let_144 (ASSUME :args (_let_42)))) (let ((_let_145 (TRANS (CONG (SYMM (SYMM _let_144)) :args _let_109) (SYMM _let_143) (CONG (TRANS (SYMM _let_142) _let_110 _let_112) :args _let_109) _let_113))) (let ((_let_146 (ASSUME :args (_let_49)))) (let ((_let_147 (ASSUME :args (_let_51)))) (let ((_let_148 (ASSUME :args (_let_50)))) (let ((_let_149 (ASSUME :args (_let_47)))) (let ((_let_150 (TRANS _let_148 (SYMM (SYMM _let_149)) (CONG (REFL :args (tptp.one)) (SYMM _let_148) :args _let_108) (SYMM _let_147) (SYMM _let_146)))) (let ((_let_151 (ASSUME :args (_let_59)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_105 (MODUS_PONENS (AND_INTRO _let_124 _let_125 _let_115 _let_129 _let_131 _let_133 _let_140 _let_141 _let_146 _let_147 _let_148 _let_149 _let_110 _let_111 _let_142 _let_143 _let_144 _let_151 _let_117 _let_118 _let_136 _let_138 _let_106 _let_107 _let_120 _let_121 _let_122 _let_123) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (CONG (TRANS _let_139 (TRANS _let_133 (CONG _let_135 (SYMM _let_150) :args _let_114))) (CONG _let_135 (SYMM _let_145) :args _let_114) :args _let_108) (SYMM _let_151) (CONG _let_135 (TRANS (CONG _let_150 _let_145 :args _let_108) (SYMM _let_141) (SYMM _let_140)) :args _let_114) _let_134) :args _let_109) _let_132 _let_130 _let_128 _let_127) (TRANS (CONG (TRANS (CONG _let_139 :args _let_109) _let_132 _let_130 _let_128 _let_127) (TRANS (SYMM (SYMM _let_123)) (CONG (TRANS (SYMM (SYMM _let_122)) (CONG (TRANS (SYMM (SYMM _let_121)) (CONG _let_115 (REFL :args (_let_23)) :args _let_108) (SYMM _let_120) (CONG _let_119 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args _let_114) _let_116) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_114) _let_110 _let_112) :args _let_109) _let_113) :args _let_108) (SYMM _let_107)) :args (=)) (FALSE_INTRO _let_106))) :args (_let_20 _let_19 _let_22 _let_33 _let_30 _let_28 _let_40 _let_57 _let_49 _let_51 _let_50 _let_47 _let_36 _let_35 _let_38 _let_43 _let_42 _let_59 _let_26 _let_53 _let_55 _let_32 _let_67 _let_44 _let_56 _let_24 _let_64 _let_63)))) :args (_let_67 _let_19 _let_20 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_33 _let_35 _let_36 _let_38 _let_40 _let_42 _let_43 _let_44 _let_47 _let_49 _let_50 _let_51 _let_53 _let_55 _let_56 _let_57 _let_59 _let_63 _let_64 _let_65)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_104))) (TRUE_INTRO (SYMM (SYMM _let_105))))) :args (_let_65 _let_103)) :args ((not (and _let_67 _let_19 _let_20 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_33 _let_35 _let_36 _let_38 _let_40 _let_42 _let_43 _let_44 _let_47 _let_49 _let_50 _let_51 _let_53 _let_55 _let_56 _let_57 _let_59 _let_63 _let_64 _let_65)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_17))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args ((not _let_33))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args ((not _let_38))) (REFL :args ((not _let_40))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_44))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_50))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_55))) (REFL :args ((not _let_56))) (REFL :args ((not _let_57))) (REFL :args ((not _let_59))) (REFL :args ((not _let_63))) (REFL :args ((not _let_64))) (REFL :args _let_104) :args _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_54 _let_61 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101)) _let_102 :args (_let_65 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_64 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_13 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_91))) _let_92 :args (_let_63 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_13 _let_45 _let_58 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_59 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_15 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_57 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.one _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_98 :args (_let_56 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_13 tptp.one _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_55 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_13 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_53 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_45 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_73 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_88 :args (_let_50 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_94) :args _let_86)) _let_85 :args (_let_49 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_94) :args _let_83)) _let_82 :args (_let_47 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_13 _let_15 QUANTIFIERS_INST_ENUM)) :args _let_72))) _let_73 :args (_let_44 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.one _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) _let_92 :args (_let_43 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_15 QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_79 :args (_let_42 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_93) :args _let_86)) _let_85 :args (_let_40 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_93) :args _let_80)) _let_79 :args (_let_38 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_93) :args _let_76)) _let_75 :args (_let_36 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.zero _let_14 QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_35 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_91)) _let_92 :args (_let_33 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_90) :args _let_83)) _let_82 :args (_let_32 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_90) :args _let_80)) _let_79 :args (_let_30 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_90) :args _let_89)) _let_88 :args (_let_28 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_77) :args _let_86)) _let_85 :args (_let_26 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_77) :args _let_83)) _let_82 :args (_let_24 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_77) :args _let_80)) _let_79 :args (_let_22 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_77) :args _let_76)) _let_75 :args (_let_20 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_19 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_68) :args (_let_71))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_66))) (REFL :args _let_70) :args _let_69)) _let_68 :args (_let_67 true _let_66)) :args (false false _let_65 false _let_64 false _let_63 false _let_59 false _let_57 false _let_56 false _let_55 false _let_53 false _let_51 false _let_50 false _let_49 false _let_47 false _let_44 false _let_43 false _let_42 false _let_40 false _let_38 false _let_36 false _let_35 false _let_33 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 false _let_19 true _let_17)) :args (_let_12 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 _let_4 _let_3 (= (tptp.domain tptp.zero) tptp.zero) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.19/11.45  )
% 11.19/11.45  % SZS output end Proof for KLE054+1
% 11.19/11.45  % cvc5---1.0.5 exiting
% 11.19/11.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------