TSTP Solution File: KLE144+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE144+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 05:27:25 EDT 2023
% Result : Theorem 28.30s 28.55s
% Output : Proof 28.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : KLE144+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.18 % Command : do_cvc5 %s %d
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Tue Aug 29 13:11:37 EDT 2023
% 0.13/0.39 % CPUTime :
% 0.20/0.52 %----Proving TF0_NAR, FOF, or CNF
% 28.30/28.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AIbyFTcPOi/cvc5---1.0.5_11952.p...
% 28.30/28.55 ------- get file name : TPTP file name is KLE144+1
% 28.30/28.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11952.smt2...
% 28.30/28.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 28.30/28.55 --- Run --no-e-matching --full-saturate-quant at 5...
% 28.30/28.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 28.30/28.55 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 28.30/28.55 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.30/28.55 % SZS status Theorem for KLE144+1
% 28.30/28.55 % SZS output start Proof for KLE144+1
% 28.30/28.55 (
% 28.30/28.55 (let ((_let_1 (forall ((X0 $$unsorted)) (= (tptp.strong_iteration (tptp.star X0)) (tptp.strong_iteration tptp.one))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_18 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_20 (tptp.strong_iteration tptp.one))) (let ((_let_21 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_22 (tptp.star tptp.zero))) (let ((_let_23 (tptp.star tptp.one))) (let ((_let_24 (tptp.leq (tptp.multiplication _let_23 (tptp.star _let_22)) _let_21))) (let ((_let_25 (tptp.leq (tptp.addition (tptp.multiplication _let_21 _let_22) _let_23) _let_21))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication C A) B) C)) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 (tptp.multiplication tptp.zero _let_22))) (let ((_let_32 (= tptp.zero _let_31))) (let ((_let_33 (= _let_22 (tptp.addition tptp.one _let_31)))) (let ((_let_34 (tptp.multiplication _let_23 tptp.zero))) (let ((_let_35 (tptp.multiplication _let_23 tptp.one))) (let ((_let_36 (tptp.addition tptp.one tptp.zero))) (let ((_let_37 (= (tptp.multiplication _let_23 _let_36) (tptp.addition _let_35 _let_34)))) (let ((_let_38 (tptp.multiplication tptp.one _let_23))) (let ((_let_39 (tptp.addition _let_38 tptp.one))) (let ((_let_40 (= tptp.one _let_39))) (let ((_let_41 (= tptp.one _let_36))) (let ((_let_42 (tptp.multiplication tptp.one tptp.one))) (let ((_let_43 (= _let_42 (tptp.addition _let_42 _let_42)))) (let ((_let_44 (tptp.addition tptp.one _let_38))) (let ((_let_45 (= _let_44 _let_39))) (let ((_let_46 (= tptp.zero (tptp.multiplication tptp.zero tptp.zero)))) (let ((_let_47 (= tptp.zero (tptp.multiplication tptp.one tptp.zero)))) (let ((_let_48 (= _let_23 _let_35))) (let ((_let_49 (= _let_23 _let_38))) (let ((_let_50 (= tptp.one _let_42))) (let ((_let_51 (= _let_23 _let_44))) (let ((_let_52 (tptp.leq _let_23 _let_21))) (let ((_let_53 (not _let_24))) (let ((_let_54 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_32 false _let_54)))) (let ((_let_58 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.star A)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_33 false _let_58)))) (let ((_let_63 (_let_12))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_23 tptp.one tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_63)) _let_64 :args (_let_37 false _let_12)))) (let ((_let_66 (tptp.leq _let_38 tptp.one))) (let ((_let_67 (= _let_66 _let_40))) (let ((_let_68 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 (tptp.addition _let_42 tptp.one))) (let ((_let_72 (tptp.leq _let_71 tptp.one))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_66))) (let ((_let_75 (tptp.leq tptp.one _let_71))) (let ((_let_76 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (tptp.one QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_79) :args _let_78)) _let_77 :args (_let_50 false _let_76)))) (let ((_let_81 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_83)) _let_82 :args (_let_43 false _let_81)))) (let ((_let_85 (= _let_71 (tptp.addition tptp.one _let_71)))) (let ((_let_86 (= _let_75 _let_85))) (let ((_let_87 (and _let_50 _let_43))) (let ((_let_88 (_let_50 _let_43))) (let ((_let_89 (APPLY_UF tptp.addition))) (let ((_let_90 (ASSUME :args (_let_50)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (REFL :args (_let_42)))) (let ((_let_93 (ASSUME :args (_let_43)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (TRANS _let_90 (SYMM _let_94) (CONG _let_92 _let_91 :args _let_89)))) (let ((_let_96 (REFL :args (tptp.one)))) (let ((_let_97 (CONG _let_90 _let_96 :args _let_89))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (not _let_43))) (let ((_let_100 (not _let_50))) (let ((_let_101 (and _let_50 _let_75 _let_43))) (let ((_let_102 (ASSUME :args (_let_75)))) (let ((_let_103 (APPLY_UF tptp.leq))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or (not _let_66) _let_40 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_66 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_90 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_95) _let_95 :args _let_103) (TRUE_INTRO _let_102))) :args (_let_75 _let_50 _let_43))) :args (_let_50 _let_75 _let_43))) :args (true _let_101)) :args ((or _let_100 _let_72 (not _let_75) _let_99))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_86)) :args ((or _let_75 (not _let_85) (not _let_86)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_93) (SCOPE (TRANS _let_98 (CONG _let_96 _let_95 :args _let_89)) :args _let_88)) :args _let_88)) :args (true _let_87)) _let_84 _let_80 :args (_let_85 false _let_43 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70)) _let_69 :args (_let_86 false _let_68)) :args (_let_75 false _let_85 false _let_86)) _let_84 _let_80 :args (_let_72 false _let_75 false _let_43 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.one tptp.one tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication C A) (tptp.multiplication B (tptp.star A))))) :args _let_30)) _let_29 :args (_let_74 false _let_28)) :args (_let_66 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_38 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_40 false _let_66 false _let_67)))) (let ((_let_105 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args _let_79) :args _let_107)) _let_106 :args (_let_41 false _let_105)))) (let ((_let_109 (_let_19))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 ((tptp.addition A B)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.one _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_45 false _let_19)))) (let ((_let_113 (tptp.zero QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_113) :args _let_56)) _let_55 :args (_let_46 false _let_54)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_113) :args _let_78)) _let_77 :args (_let_47 false _let_76)))) (let ((_let_116 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_23 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_119) :args _let_118)) _let_117 :args (_let_48 false _let_116)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_119) :args _let_78)) _let_77 :args (_let_49 false _let_76)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_51 false _let_58)))) (let ((_let_123 (tptp.addition _let_23 _let_21))) (let ((_let_124 (= _let_21 _let_123))) (let ((_let_125 (= _let_52 _let_124))) (let ((_let_126 (not _let_52))) (let ((_let_127 ((tptp.addition A B)))) (let ((_let_128 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_129 (tptp.strong_iteration _let_128))) (let ((_let_130 (tptp.star _let_129))) (let ((_let_131 (= _let_130 (tptp.addition tptp.one (tptp.multiplication _let_129 _let_130))))) (let ((_let_132 (tptp.multiplication _let_129 tptp.zero))) (let ((_let_133 (tptp.multiplication tptp.zero _let_130))) (let ((_let_134 (= (tptp.multiplication _let_129 _let_133) (tptp.multiplication _let_132 _let_130)))) (let ((_let_135 (= (tptp.multiplication _let_20 _let_133) (tptp.multiplication _let_21 _let_130)))) (let ((_let_136 (tptp.multiplication tptp.one _let_20))) (let ((_let_137 (tptp.star _let_128))) (let ((_let_138 (tptp.addition _let_132 _let_137))) (let ((_let_139 (= _let_136 (tptp.addition _let_138 _let_136)))) (let ((_let_140 (tptp.multiplication _let_23 _let_132))) (let ((_let_141 (= (tptp.multiplication _let_123 _let_132) (tptp.addition _let_140 (tptp.multiplication _let_21 _let_132))))) (let ((_let_142 (tptp.multiplication _let_137 _let_128))) (let ((_let_143 (tptp.addition _let_142 tptp.one))) (let ((_let_144 (= (tptp.addition _let_142 _let_44) (tptp.addition _let_143 _let_38)))) (let ((_let_145 (tptp.multiplication tptp.zero _let_129))) (let ((_let_146 (= (tptp.multiplication _let_20 _let_145) (tptp.multiplication _let_21 _let_129)))) (let ((_let_147 (tptp.addition _let_138 _let_38))) (let ((_let_148 (= _let_147 (tptp.addition _let_38 _let_138)))) (let ((_let_149 (tptp.addition tptp.one _let_142))) (let ((_let_150 (= _let_149 _let_143))) (let ((_let_151 (= tptp.zero _let_133))) (let ((_let_152 (= tptp.zero _let_145))) (let ((_let_153 (= (tptp.addition _let_132 (tptp.addition _let_137 _let_38)) _let_147))) (let ((_let_154 (= _let_140 (tptp.multiplication (tptp.multiplication _let_23 _let_129) tptp.zero)))) (let ((_let_155 (= _let_129 (tptp.multiplication tptp.one _let_129)))) (let ((_let_156 (tptp.addition _let_137 _let_132))) (let ((_let_157 (= _let_132 _let_156))) (let ((_let_158 (= _let_137 _let_149))) (let ((_let_159 (= _let_156 _let_138))) (let ((_let_160 (= _let_20 _let_136))) (let ((_let_161 (= _let_129 _let_156))) (let ((_let_162 (= _let_20 _let_123))) (let ((_let_163 (tptp.multiplication _let_128 _let_129))) (let ((_let_164 (tptp.addition _let_163 tptp.one))) (let ((_let_165 (= _let_129 _let_164))) (let ((_let_166 (tptp.addition _let_136 tptp.one))) (let ((_let_167 (= _let_20 _let_166))) (let ((_let_168 (not _let_124))) (let ((_let_169 (_let_15))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_172 (tptp.multiplication _let_129 tptp.one))) (let ((_let_173 (= _let_172 (tptp.addition _let_166 _let_172)))) (let ((_let_174 (tptp.addition tptp.one _let_163))) (let ((_let_175 (= (tptp.addition _let_136 _let_174) (tptp.addition _let_174 _let_136)))) (let ((_let_176 (= _let_129 _let_172))) (let ((_let_177 (= _let_164 _let_174))) (let ((_let_178 (= _let_20 _let_129))) (let ((_let_179 (not _let_139))) (let ((_let_180 (tptp.leq _let_166 _let_172))) (let ((_let_181 (= _let_180 _let_173))) (let ((_let_182 ((tptp.leq A B)))) (let ((_let_183 (tptp.multiplication _let_128 _let_166))) (let ((_let_184 (tptp.addition _let_183 tptp.one))) (let ((_let_185 (tptp.leq _let_166 _let_184))) (let ((_let_186 (not _let_185))) (let ((_let_187 (or _let_186 _let_180))) (let ((_let_188 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq C (tptp.addition (tptp.multiplication A C) B))) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_189 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_190 (_let_188))) (let ((_let_191 (tptp.multiplication (tptp.strong_iteration A) B))) (let ((_let_192 ((not (= (tptp.leq C _let_191) true))))) (let ((_let_193 (= _let_184 (tptp.addition _let_166 _let_184)))) (let ((_let_194 (= _let_185 _let_193))) (let ((_let_195 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_128))) (let ((_let_196 (tptp.addition tptp.one _let_195))) (let ((_let_197 (tptp.addition tptp.one _let_196))) (let ((_let_198 (= (tptp.multiplication _let_197 _let_166) (tptp.addition (tptp.multiplication tptp.one _let_166) 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_let_160 _let_159 _let_51 _let_158 _let_124 _let_157 _let_50 _let_49 _let_155 _let_154 _let_153 _let_45 _let_43 _let_152 _let_151 _let_150 _let_148 _let_40 _let_146 _let_144 _let_141 _let_135 _let_134 _let_131))) :args (true _let_449)) :args ((or _let_244 _let_307 (not _let_162) _let_306 _let_243 _let_305 _let_406 _let_405 _let_168 (not _let_157) _let_100 _let_404 _let_304 (not _let_154) (not _let_153) _let_403 _let_99 (not _let_152) (not _let_151) _let_402 (not _let_148) _let_401 (not _let_146) _let_400 (not _let_141) _let_139 (not _let_135) (not _let_134) (not _let_131)))) _let_230 _let_299 _let_448 _let_298 _let_226 _let_294 _let_122 _let_399 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_325)) :args ((or _let_157 (not _let_324) (not _let_325)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_330)) :args ((or _let_324 _let_329 (not _let_330)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_407)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_408 _let_261 _let_409 _let_410 _let_258 _let_271 _let_269 _let_267 _let_265 _let_263 _let_415 _let_377 _let_411 _let_90 _let_93 _let_275 _let_419 _let_421 _let_424 _let_432 _let_434 _let_445 _let_379 _let_382 _let_385 _let_387 _let_388 _let_392 _let_394 _let_395 _let_428 _let_430 _let_438 _let_442) (SCOPE (TRUE_ELIM (TRANS (CONG _let_381 (TRANS _let_378 (SYMM _let_418) _let_419 (SYMM _let_420) (SYMM _let_423) _let_425 (SYMM _let_426) _let_422 _let_428 _let_430 (SYMM _let_437) _let_438 (SYMM _let_441) (SYMM _let_447)) :args _let_103) (CONG _let_427 (TRANS _let_447 _let_441 _let_439 _let_437 _let_431 _let_429) :args _let_103) (CONG _let_378 _let_381 :args _let_103) (CONG (SYMM _let_416) _let_427 :args _let_103) (CONG _let_416 (REFL :args (_let_327)) :args _let_103) (TRUE_INTRO _let_408))) :args (_let_337 _let_214 _let_355 _let_341 _let_213 _let_212 _let_209 _let_210 _let_207 _let_204 _let_344 _let_343 _let_342 _let_50 _let_43 _let_201 _let_332 _let_354 _let_335 _let_40 _let_45 _let_51 _let_338 _let_351 _let_336 _let_353 _let_349 _let_352 _let_350 _let_347 _let_158 _let_150 _let_144 _let_49))) :args (_let_214 _let_213 _let_355 _let_212 _let_51 _let_354 _let_158 _let_50 _let_49 _let_210 _let_353 _let_209 _let_352 _let_207 _let_204 _let_351 _let_45 _let_350 _let_43 _let_150 _let_349 _let_40 _let_201 _let_347 _let_342 _let_144 _let_344 _let_343 _let_341 _let_338 _let_337 _let_336 _let_335 _let_332))) :args (true _let_407)) :args ((or _let_246 _let_245 (not _let_355) _let_242 _let_406 (not _let_354) _let_405 _let_100 _let_404 _let_241 _let_375 _let_240 _let_374 _let_239 _let_238 _let_373 _let_328 _let_403 _let_372 _let_99 _let_402 _let_371 _let_401 _let_237 _let_370 _let_400 (not _let_344) _let_369 (not _let_342) (not _let_341) _let_368 (not _let_337) _let_367 (not _let_335) (not _let_332)))) _let_236 _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.one _let_195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_355 false _let_19)) _let_225 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_128 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_354 false _let_58)) _let_399 _let_80 _let_121 _let_224 _let_366 _let_223 _let_365 _let_221 _let_220 _let_364 _let_112 _let_363 _let_84 _let_323 _let_362 _let_104 _let_219 _let_361 _let_322 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_128 _let_137 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_344 false _let_15)) _let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_137 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78)) _let_77 :args (_let_342 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_195 tptp.one _let_137 QUANTIFIERS_INST_CBQI_PROP)) :args _let_215)) _let_216 :args (_let_341 false _let_11)) _let_359 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_358)) :args ((or _let_337 (not _let_357) (not _let_358)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_376)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_379 _let_385 _let_377 _let_275 _let_261 _let_258 _let_271 _let_93 _let_90 _let_263 _let_267 _let_387 _let_269 _let_388 _let_382 _let_395 _let_392 _let_265 _let_394) (SCOPE (TRANS _let_378 (CONG (TRANS _let_258 (CONG _let_398 _let_397 :args _let_89) (SYMM _let_277) _let_396 _let_386 _let_384 _let_383) _let_381 :args _let_254) _let_380 (CONG (REFL :args (_let_326)) (SYMM _let_378) :args _let_89)) :args (_let_338 _let_336 _let_343 _let_201 _let_214 _let_213 _let_212 _let_43 _let_50 _let_204 _let_210 _let_353 _let_209 _let_349 _let_351 _let_347 _let_352 _let_207 _let_350))) :args (_let_214 _let_213 _let_212 _let_50 _let_210 _let_353 _let_209 _let_352 _let_207 _let_204 _let_351 _let_350 _let_43 _let_349 _let_201 _let_347 _let_343 _let_338 _let_336))) :args (true _let_376)) :args ((or _let_246 _let_245 _let_242 _let_100 _let_241 _let_375 _let_240 _let_374 _let_239 _let_238 _let_373 _let_372 _let_99 _let_371 _let_237 _let_370 _let_369 _let_368 _let_357 _let_367))) _let_236 _let_235 _let_225 _let_80 _let_224 _let_366 _let_223 _let_365 _let_221 _let_220 _let_364 _let_363 _let_84 _let_362 _let_219 _let_361 _let_360 _let_359 _let_356 :args (_let_357 false _let_214 false _let_213 false _let_212 false _let_50 false _let_210 false _let_353 false _let_209 false _let_352 false _let_207 false _let_204 false _let_351 false _let_350 false _let_43 false _let_349 false _let_201 false _let_347 false _let_343 false _let_338 false _let_336)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_326 _let_327 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70)) _let_69 :args (_let_358 false _let_68)) :args (_let_337 false _let_357 false _let_358)) _let_356 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (_let_326 _let_326 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_217)) _let_218 :args (_let_335 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.one _let_196 _let_137 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_215)) _let_216 :args (_let_332 false _let_11)) :args (_let_328 false _let_214 false _let_213 false _let_355 false _let_212 false _let_51 false _let_354 false _let_158 false _let_50 false _let_49 false _let_210 false _let_353 false _let_209 false _let_352 false _let_207 false _let_204 false _let_351 false _let_45 false _let_350 false _let_43 false _let_150 false _let_349 false _let_40 false _let_201 false _let_347 false _let_144 false _let_344 false _let_343 false _let_342 false _let_341 false _let_338 false _let_337 false _let_336 false _let_335 false _let_332)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_128 tptp.zero _let_137 QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_189 :args (_let_330 false _let_188)) :args (_let_324 false _let_328 false _let_330)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_137 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_70)) _let_69 :args (_let_325 false _let_68)) :args (_let_157 false _let_324 false _let_325)) _let_80 _let_121 _let_293 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_23 _let_129 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_154 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (_let_38 _let_137 _let_132 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_217)) _let_218 :args (_let_153 false _let_18)) _let_112 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_292) :args _let_56)) _let_55 :args (_let_152 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_130 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_55 :args (_let_151 false _let_54)) _let_323 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_138 _let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_110 :args (_let_148 false _let_19)) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_20 tptp.zero _let_129 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_146 false _let_15)) _let_322 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_23 _let_21 _let_132 QUANTIFIERS_INST_CBQI_PROP)) :args _let_215)) _let_216 :args (_let_141 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_308)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_309 _let_310 _let_248 _let_251 _let_311 _let_313 _let_314 _let_315 _let_317 _let_319 _let_321) (SCOPE (TRANS _let_251 (SYMM (SYMM _let_321)) (CONG (TRANS (TRANS _let_320 _let_318 _let_315) (TRANS _let_316 _let_311 _let_313)) (REFL :args (_let_136)) :args _let_89) (SYMM _let_314) (CONG _let_253 (TRANS (SYMM _let_313) _let_312 _let_309) :args _let_89) (SYMM _let_310) (SYMM _let_309)) :args (_let_176 _let_173 _let_167 _let_160 _let_165 _let_177 _let_175 _let_155 _let_161 _let_159 _let_139))) :args (_let_167 _let_165 _let_161 _let_160 _let_177 _let_159 _let_155 _let_176 _let_175 _let_173 _let_139))) :args (true _let_308)) :args ((or _let_178 _let_244 _let_307 _let_306 _let_243 (not _let_177) _let_305 _let_304 (not _let_176) (not _let_175) (not _let_173) _let_179))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_302) :args _let_301) (REWRITE :args ((=> _let_2 (not (= _let_129 _let_20))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_300)) :args _let_303)) _let_302 :args (_let_300 true _let_1)) _let_230 _let_299 _let_298 _let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_163 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_177 false _let_19)) _let_294 _let_293 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_292) :args _let_118)) _let_117 :args (_let_176 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_136 _let_174 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_110 :args (_let_175 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_181)) :args ((or (not _let_180) _let_173 (not _let_181)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_186 _let_180 (not _let_187)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_194)) :args ((or _let_185 (not _let_193) (not _let_194)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_247)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_279 _let_283 _let_258 _let_248 _let_271 _let_93 _let_90 _let_263 _let_267 _let_251 _let_269 _let_275 _let_265 _let_261 _let_289) (SCOPE (TRANS (SYMM _let_288) _let_290 (SYMM _let_291) _let_285 _let_282 (CONG (SYMM _let_281) (TRANS (SYMM _let_280) (SYMM _let_278) _let_279 (SYMM _let_282) _let_284 _let_291 (SYMM _let_290) _let_288) :args _let_89) (CONG _let_253 (REFL :args (_let_184)) :args _let_89)) :args (_let_198 _let_199 _let_213 _let_167 _let_212 _let_43 _let_50 _let_204 _let_210 _let_160 _let_209 _let_201 _let_207 _let_214 _let_200))) :args (_let_214 _let_213 _let_167 _let_160 _let_212 _let_50 _let_210 _let_209 _let_207 _let_204 _let_43 _let_201 _let_200 _let_199 _let_198))) :args (true _let_247)) :args ((or _let_246 _let_245 _let_244 _let_243 _let_242 _let_100 _let_241 _let_240 _let_239 _let_238 _let_99 _let_237 (not _let_200) _let_193 (not _let_199) (not _let_198)))) _let_236 _let_235 _let_230 _let_226 _let_225 _let_80 _let_224 _let_223 _let_221 _let_220 _let_84 _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (tptp.one _let_136 _let_183 QUANTIFIERS_INST_CBQI_PROP)) :args _let_217)) _let_218 :args (_let_200 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_183 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_109)) _let_110 :args (_let_199 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.one _let_196 _let_166 QUANTIFIERS_INST_CBQI_PROP)) :args _let_215)) _let_216 :args (_let_198 false _let_11)) :args (_let_193 false _let_214 false _let_213 false _let_167 false _let_160 false _let_212 false _let_50 false _let_210 false _let_209 false _let_207 false _let_204 false _let_43 false _let_201 false _let_200 false _let_199 false _let_198)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_166 _let_184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_70)) _let_69 :args (_let_194 false _let_68)) :args (_let_185 false _let_193 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_128 tptp.one _let_166 QUANTIFIERS_INST_E_MATCHING _let_192)) :args _let_190)) _let_189 :args (_let_187 false _let_188)) :args (_let_180 false _let_185 false _let_187)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_166 _let_172 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_182)) :args _let_70)) _let_69 :args (_let_181 false _let_68)) :args (_let_173 false _let_180 false _let_181)) :args (_let_179 true _let_178 false _let_167 false _let_165 false _let_161 false _let_160 false _let_177 false _let_159 false _let_155 false _let_176 false _let_175 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_20 tptp.zero _let_130 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_169)) _let_170 :args (_let_135 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_129 tptp.zero _let_130 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_169)) _let_170 :args (_let_134 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_129 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_60)) _let_59 :args (_let_131 false _let_58)) :args (_let_168 false _let_167 false _let_165 false _let_162 false _let_161 false _let_160 false _let_159 false _let_51 false _let_158 false _let_157 false _let_50 false _let_49 false _let_155 false _let_154 false _let_153 false _let_45 false _let_43 false _let_152 false _let_151 false _let_150 false _let_148 false _let_40 false _let_146 false _let_144 false _let_141 true _let_139 false _let_135 false _let_134 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_23 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_70)) _let_69 :args (_let_125 false _let_68)) :args (_let_126 true _let_124 false _let_125)) _let_122 _let_80 _let_121 _let_120 _let_115 _let_114 _let_112 _let_84 _let_108 _let_104 _let_65 _let_62 _let_57 :args (_let_53 true _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_40 false _let_37 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_22 _let_23 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (false false _let_25 true _let_24 false _let_27)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.30/28.56 )
% 28.30/28.56 % SZS output end Proof for KLE144+1
% 28.30/28.56 % cvc5---1.0.5 exiting
% 28.30/28.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------