TSTP Solution File: KLE040+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE040+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:27:01 EDT 2023
% Result : Theorem 0.94s 1.15s
% Output : Proof 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE040+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n028.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 12:53:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.94/1.15 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9h6NAQG6ve/cvc5---1.0.5_14882.p...
% 0.94/1.15 ------- get file name : TPTP file name is KLE040+1
% 0.94/1.15 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14882.smt2...
% 0.94/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.94/1.15 % SZS status Theorem for KLE040+1
% 0.94/1.15 % SZS output start Proof for KLE040+1
% 0.94/1.15 (
% 0.94/1.15 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (= (tptp.multiplication _let_1 _let_1) _let_1)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (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 $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= _let_13 (tptp.multiplication _let_13 _let_13)))) (let ((_let_15 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.addition tptp.one _let_15))) (let ((_let_17 (tptp.addition _let_16 _let_13))) (let ((_let_18 (= _let_13 _let_17))) (let ((_let_19 (= _let_17 (tptp.addition _let_13 _let_16)))) (let ((_let_20 (tptp.addition _let_15 _let_13))) (let ((_let_21 (tptp.addition tptp.one _let_20))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (tptp.addition _let_15 _let_16))) (let ((_let_24 (tptp.addition tptp.one _let_23))) (let ((_let_25 (tptp.addition _let_16 _let_16))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (= _let_16 _let_25))) (let ((_let_28 (tptp.multiplication _let_13 tptp.one))) (let ((_let_29 (= _let_13 _let_28))) (let ((_let_30 (tptp.multiplication tptp.one _let_13))) (let ((_let_31 (= _let_13 _let_30))) (let ((_let_32 (tptp.multiplication _let_13 _let_20))) (let ((_let_33 (= (tptp.multiplication _let_13 _let_21) (tptp.addition _let_28 _let_32)))) (let ((_let_34 (tptp.multiplication _let_20 _let_13))) (let ((_let_35 (= (tptp.multiplication _let_21 _let_13) (tptp.addition _let_30 _let_34)))) (let ((_let_36 (= _let_13 (tptp.addition _let_28 _let_13)))) (let ((_let_37 (tptp.addition tptp.one _let_13))) (let ((_let_38 (tptp.addition _let_13 tptp.one))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (tptp.addition _let_16 _let_15))) (let ((_let_41 (= _let_23 _let_40))) (let ((_let_42 (tptp.addition _let_23 _let_13))) (let ((_let_43 (= (tptp.addition tptp.one _let_42) (tptp.addition _let_24 _let_13)))) (let ((_let_44 (tptp.addition _let_30 _let_13))) (let ((_let_45 (= (tptp.addition _let_30 (tptp.addition _let_13 _let_34)) (tptp.addition _let_44 _let_34)))) (let ((_let_46 (= (tptp.addition _let_30 _let_38) (tptp.addition _let_44 tptp.one)))) (let ((_let_47 (= (tptp.multiplication _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_15)))) (let ((_let_48 (tptp.addition _let_13 _let_32))) (let ((_let_49 (= (tptp.addition _let_30 _let_48) (tptp.addition _let_48 _let_30)))) (let ((_let_50 (= _let_42 (tptp.addition _let_13 _let_23)))) (let ((_let_51 (= _let_40 (tptp.addition tptp.one (tptp.addition _let_15 _let_15))))) (let ((_let_52 (tptp.multiplication _let_13 _let_37))) (let ((_let_53 (= _let_13 (tptp.addition _let_52 _let_13)))) (let ((_let_54 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (= _let_1 (tptp.multiplication _let_1 _let_1)))))) (let ((_let_55 (not _let_14))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (_let_55))) (let ((_let_59 (not _let_54))) (let ((_let_60 (tptp.leq _let_16 _let_13))) (let ((_let_61 (= _let_60 _let_18))) (let ((_let_62 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((tptp.leq A B)))) (let ((_let_66 (_let_3))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.addition A B)))) (let ((_let_71 (_let_11))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_74 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_76))) _let_77 :args (_let_29 false _let_76)))) (let ((_let_79 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_7))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 (_let_6))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_86 (tptp.leq _let_28 _let_13))) (let ((_let_87 (= _let_86 _let_36))) (let ((_let_88 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_89 (tptp.addition _let_88 tptp.one))) (let ((_let_90 (tptp.leq _let_89 _let_13))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_86))) (let ((_let_93 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((tptp.addition (tptp.multiplication A B) C)))) (let ((_let_97 (tptp.addition tptp.one _let_88))) (let ((_let_98 (= _let_97 _let_89))) (let ((_let_99 (tptp.leq _let_97 _let_13))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_98 false _let_12)))) (let ((_let_101 (_let_4))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_101)) _let_102 :args (_let_99 false _let_4)))) (let ((_let_104 (and _let_99 _let_98))) (let ((_let_105 (_let_99 _let_98))) (let ((_let_106 (ASSUME :args (_let_99)))) (let ((_let_107 (APPLY_UF tptp.leq))) (let ((_let_108 (REFL :args (_let_13)))) (let ((_let_109 (ASSUME :args (_let_98)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_86 (not _let_92)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_109) (SCOPE (TRUE_ELIM (TRANS (CONG _let_110 _let_108 :args _let_107) (TRUE_INTRO _let_106))) :args _let_105)) :args _let_105)) :args (true _let_104)) _let_103 _let_100 :args (_let_90 false _let_99 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 tptp.one QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_95)) _let_94 :args (_let_92 false _let_93)) :args (_let_86 false _let_90 false _let_92)))) (let ((_let_112 (tptp.leq _let_52 _let_13))) (let ((_let_113 (= _let_112 _let_53))) (let ((_let_114 (tptp.addition _let_88 _let_37))) (let ((_let_115 (tptp.leq _let_114 _let_13))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_112))) (let ((_let_118 (= _let_114 (tptp.addition _let_89 _let_13)))) (let ((_let_119 (= _let_13 (tptp.addition _let_97 _let_13)))) (let ((_let_120 (= _let_99 _let_119))) (let ((_let_121 (and _let_98 _let_119 _let_86 _let_118 _let_29))) (let ((_let_122 (ASSUME :args (_let_86)))) (let ((_let_123 (ASSUME :args (_let_29)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (ASSUME :args (_let_119)))) (let ((_let_126 (APPLY_UF tptp.addition))) (let ((_let_127 (ASSUME :args (_let_118)))) (let ((_let_128 (and _let_55 _let_18 _let_19 _let_22 _let_26 _let_27 _let_29 _let_31 _let_33 _let_35 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51))) (let ((_let_129 (ASSUME :args _let_58))) (let ((_let_130 (APPLY_UF tptp.multiplication))) (let ((_let_131 (ASSUME :args (_let_18)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (ASSUME :args (_let_22)))) (let ((_let_134 (TRANS (SYMM _let_133) _let_132))) (let ((_let_135 (CONG _let_134 _let_108 :args _let_130))) (let ((_let_136 (ASSUME :args (_let_35)))) (let ((_let_137 (REFL :args (_let_34)))) (let ((_let_138 (ASSUME :args (_let_31)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (TRANS _let_124 _let_140))) (let ((_let_142 (CONG _let_141 _let_137 :args _let_126))) (let ((_let_143 (ASSUME :args (_let_36)))) (let ((_let_144 (SYMM _let_141))) (let ((_let_145 (TRANS (CONG _let_144 _let_108 :args _let_126) (SYMM _let_143)))) (let ((_let_146 (ASSUME :args (_let_45)))) (let ((_let_147 (CONG _let_108 _let_134 :args _let_130))) (let ((_let_148 (ASSUME :args (_let_33)))) (let ((_let_149 (REFL :args (_let_32)))) (let ((_let_150 (CONG _let_144 _let_149 :args _let_126))) (let ((_let_151 (CONG _let_140 _let_149 :args _let_126))) (let ((_let_152 (ASSUME :args (_let_49)))) (let ((_let_153 (ASSUME :args (_let_27)))) (let ((_let_154 (ASSUME :args (_let_26)))) (let ((_let_155 (ASSUME :args (_let_43)))) (let ((_let_156 (ASSUME :args (_let_50)))) (let ((_let_157 (ASSUME :args (_let_41)))) (let ((_let_158 (ASSUME :args (_let_51)))) (let ((_let_159 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_160 (ASSUME :args (_let_47)))) (let ((_let_161 (REFL :args (tptp.one)))) (let ((_let_162 (ASSUME :args (_let_19)))) (let ((_let_163 (ASSUME :args (_let_39)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (CONG _let_145 _let_161 :args _let_126))) (let ((_let_166 (ASSUME :args (_let_46)))) (let ((_let_167 (SYMM _let_166))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_131 _let_133 _let_136 _let_138 _let_123 _let_143 _let_146 _let_148 _let_152 _let_153 _let_154 _let_155 _let_156 _let_157 _let_158 _let_160 _let_162 _let_163 _let_166) (SCOPE (FALSE_ELIM (TRANS (CONG _let_108 (TRANS (CONG (TRANS (CONG _let_108 (TRANS _let_164 (SYMM _let_165) _let_167) :args _let_130) (CONG _let_108 (TRANS (SYMM _let_167) _let_165 (SYMM _let_164) (CONG _let_161 (TRANS _let_131 (SYMM (SYMM _let_162)) (CONG _let_108 (TRANS (CONG _let_161 (TRANS (CONG (SYMM _let_145) _let_159 :args _let_130) (SYMM (SYMM _let_160)) (CONG (CONG _let_139 _let_159 :args _let_130) (REFL :args (_let_15)) :args _let_126)) :args _let_126) (SYMM _let_158) (SYMM _let_157)) :args _let_126) (SYMM _let_156)) :args _let_126) (SYMM (SYMM _let_155)) (CONG (TRANS (SYMM _let_154) (SYMM _let_153)) _let_108 :args _let_126) _let_132) :args _let_130)) _let_108 :args _let_126) (CONG (TRANS (SYMM _let_147) _let_148 (SYMM _let_150) (SYMM _let_151)) _let_140 :args _let_126) (SYMM _let_152) (CONG (REFL :args (_let_30)) (TRANS _let_151 _let_150 (SYMM _let_148) _let_147 (SYMM _let_135) _let_136 (SYMM _let_142) (CONG _let_124 _let_137 :args _let_126)) :args _let_126) (SYMM (SYMM _let_146)) (CONG (TRANS _let_145 _let_123) _let_137 :args _let_126) _let_142 (SYMM _let_136) _let_135) :args (=)) (FALSE_INTRO _let_129))) :args (_let_55 _let_18 _let_22 _let_35 _let_31 _let_29 _let_36 _let_45 _let_33 _let_49 _let_27 _let_26 _let_43 _let_50 _let_41 _let_51 _let_47 _let_19 _let_39 _let_46))) :args (_let_55 _let_18 _let_19 _let_22 _let_26 _let_27 _let_29 _let_31 _let_33 _let_35 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_49 _let_50 _let_51))) :args (true _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_14))) (REFL :args ((not _let_18))) (REFL :args ((not _let_19))) (REFL :args ((not _let_22))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_33))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args ((not _let_39))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (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))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or (not _let_112) _let_53 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_112 (not _let_117)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_123 _let_125 _let_109 _let_127) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_127)) (CONG _let_110 _let_108 :args _let_126) (SYMM _let_125)) (SYMM _let_124)) _let_108 :args _let_107) (TRUE_INTRO _let_122))) :args (_let_86 _let_29 _let_119 _let_98 _let_118))) :args (_let_98 _let_119 _let_86 _let_118 _let_29))) :args (true _let_121)) _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_120)) :args ((or (not _let_99) _let_119 (not _let_120)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_97 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_120 false _let_62)) :args (_let_119 false _let_99 false _let_120)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_13 tptp.one _let_88 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_118 false _let_11)) _let_78 :args (_let_115 false _let_98 false _let_119 false _let_86 false _let_118 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 _let_37 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_95)) _let_94 :args (_let_117 false _let_93)) :args (_let_112 false _let_115 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_52 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_113 false _let_62)) :args (_let_53 false _let_112 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_15 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_71))) _let_72 :args (_let_51 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_23 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_30 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_49 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_30 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_47 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_13 _let_30 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_46 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_34 _let_13 _let_30 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_13 _let_23 tptp.one QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_43 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68))) _let_69 :args (_let_39 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or (not _let_86) _let_36 (not _let_87)))) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_28 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_87 false _let_62)) :args (_let_36 false _let_86 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.one _let_20 _let_13 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_35 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_13 tptp.one _let_20 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_81)) _let_82 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_79))) _let_80 :args (_let_31 false _let_79)) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_74))) _let_75 :args (_let_27 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_16 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_26 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_13 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_19 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or (not _let_60) _let_18 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_66)) _let_67 :args (_let_60 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_61 false _let_62)) :args (_let_18 false _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_59))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_54))) (REFL :args _let_58) :args _let_57)) _let_56 :args (_let_55 true _let_54)) :args (false false _let_53 false _let_51 false _let_50 false _let_49 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_36 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_26 false _let_22 false _let_19 false _let_18 true _let_14)) :args (_let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.94/1.16 )
% 0.94/1.16 % SZS output end Proof for KLE040+1
% 0.94/1.16 % cvc5---1.0.5 exiting
% 0.94/1.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------