TSTP Solution File: KLE045+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 05:27:04 EDT 2023
% Result : Theorem 25.60s 26.24s
% Output : Proof 25.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 11:04:02 EDT 2023
% 0.22/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 25.60/26.24 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xuSxec5EOe/cvc5---1.0.5_13710.p...
% 25.60/26.24 ------- get file name : TPTP file name is KLE045+1
% 25.60/26.24 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13710.smt2...
% 25.60/26.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.60/26.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.60/26.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.60/26.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.60/26.24 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.60/26.24 % SZS status Theorem for KLE045+1
% 25.60/26.24 % SZS output start Proof for KLE045+1
% 25.60/26.24 (
% 25.60/26.24 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (tptp.leq (tptp.multiplication X0 X2) (tptp.multiplication X2 X1)) (tptp.leq (tptp.multiplication (tptp.star X0) X2) (tptp.multiplication X2 (tptp.star X1)))))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (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.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.addition _let_14 _let_13))) (let ((_let_16 (= _let_13 _let_15))) (let ((_let_17 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_19 (tptp.addition _let_18 tptp.one))) (let ((_let_20 (tptp.addition tptp.one _let_18))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13))) (let ((_let_23 (tptp.addition _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17))) (let ((_let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_27 (tptp.addition _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (= _let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_26)))) (let ((_let_29 (tptp.addition _let_14 _let_23))) (let ((_let_30 (= _let_29 (tptp.addition _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_31 (tptp.multiplication _let_14 _let_17))) (let ((_let_32 (= _let_26 _let_31))) (let ((_let_33 (tptp.addition _let_20 _let_17))) (let ((_let_34 (= _let_17 _let_33))) (let ((_let_35 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.addition tptp.one _let_35))) (let ((_let_37 (tptp.addition _let_36 _let_17))) (let ((_let_38 (= _let_17 _let_37))) (let ((_let_39 (= _let_25 (tptp.addition _let_27 _let_25)))) (let ((_let_40 (= (tptp.addition _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25)))) (let ((_let_41 (tptp.addition _let_17 _let_20))) (let ((_let_42 (= _let_33 _let_41))) (let ((_let_43 (tptp.addition _let_35 _let_17))) (let ((_let_44 (tptp.addition tptp.one _let_43))) (let ((_let_45 (= _let_37 _let_44))) (let ((_let_46 (tptp.addition _let_18 _let_17))) (let ((_let_47 (tptp.addition tptp.one _let_46))) (let ((_let_48 (= _let_33 _let_47))) (let ((_let_49 (tptp.addition tptp.one tptp.one))) (let ((_let_50 (= (tptp.addition _let_18 _let_49) (tptp.addition _let_19 tptp.one)))) (let ((_let_51 (tptp.multiplication _let_13 _let_17))) (let ((_let_52 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_54))) (let ((_let_56 (tptp.addition _let_54 _let_52))) (let ((_let_57 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_20))) (let ((_let_58 (= _let_57 _let_56))) (let ((_let_59 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_46))) (let ((_let_60 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47) (tptp.addition _let_54 _let_59)))) (let ((_let_61 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_41) (tptp.addition _let_25 _let_57)))) (let ((_let_62 (tptp.addition tptp.one _let_19))) (let ((_let_63 (= _let_62 (tptp.addition _let_20 tptp.one)))) (let ((_let_64 (= (tptp.addition _let_25 _let_56) (tptp.addition (tptp.addition _let_25 _let_54) _let_52)))) (let ((_let_65 (= tptp.one _let_49))) (let ((_let_66 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_67 (tptp.addition _let_19 _let_43))) (let ((_let_68 (= (tptp.addition _let_18 _let_44) _let_67))) (let ((_let_69 (= (tptp.multiplication _let_22 _let_17) (tptp.addition _let_25 _let_51)))) (let ((_let_70 (tptp.multiplication _let_23 _let_17))) (let ((_let_71 (tptp.addition _let_31 _let_70))) (let ((_let_72 (= (tptp.multiplication _let_29 _let_17) _let_71))) (let ((_let_73 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_71) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31) _let_70)))) (let ((_let_74 (= (tptp.addition tptp.one _let_67) (tptp.addition _let_62 _let_43)))) (let ((_let_75 (tptp.leq _let_14 _let_13))) (let ((_let_76 (= _let_75 _let_16))) (let ((_let_77 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.leq A B)))) (let ((_let_81 (tptp.leq (tptp.multiplication (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_25))) (let ((_let_82 (not _let_75))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.leq (tptp.multiplication X0 X2) (tptp.multiplication X2 X1))) (tptp.leq (tptp.multiplication (tptp.star X0) X2) (tptp.multiplication X2 (tptp.star X1))))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (or))) (let ((_let_88 (not _let_84))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_84))) (REFL :args (_let_85)) :args _let_87)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_90 (_let_12))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.addition A B)))) (let ((_let_93 (_let_11))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_96 (_let_9))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (tptp.leq _let_20 _let_17))) (let ((_let_99 (= _let_98 _let_34))) (let ((_let_100 (_let_4))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (tptp.leq _let_36 _let_17))) (let ((_let_103 (= _let_102 _let_38))) (let ((_let_104 (_let_3))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (tptp.leq _let_27 _let_25))) (let ((_let_107 (= _let_106 _let_39))) (let ((_let_108 (not _let_39))) (let ((_let_109 (not _let_106))) (let ((_let_110 (or _let_109 _let_81))) (let ((_let_111 (forall ((A $$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_112 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_116 (_let_7))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 (_let_6))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (and _let_16 _let_21 _let_24 _let_28 _let_30 _let_32 _let_34 _let_38 _let_40 _let_42 _let_45 _let_48 _let_50 _let_53 _let_55 _let_58 _let_60 _let_61 _let_63 _let_64 _let_65 _let_66 _let_68 _let_69 _let_72 _let_73 _let_74))) (let ((_let_124 (APPLY_UF tptp.addition))) (let ((_let_125 (APPLY_UF tptp.multiplication))) (let ((_let_126 (ASSUME :args (_let_34)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (ASSUME :args (_let_42)))) (let ((_let_129 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_130 (CONG _let_129 (TRANS (SYMM _let_128) _let_127) :args _let_125))) (let ((_let_131 (ASSUME :args (_let_61)))) (let ((_let_132 (ASSUME :args (_let_58)))) (let ((_let_133 (REFL :args (_let_25)))) (let ((_let_134 (CONG _let_133 (SYMM _let_132) :args _let_124))) (let ((_let_135 (ASSUME :args (_let_64)))) (let ((_let_136 (ASSUME :args (_let_53)))) (let ((_let_137 (ASSUME :args (_let_55)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_40)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (TRANS (CONG _let_138 _let_133 :args _let_124) _let_140))) (let ((_let_142 (CONG (TRANS _let_141 (CONG _let_133 (SYMM _let_138) :args _let_124)) (SYMM _let_136) :args _let_124))) (let ((_let_143 (ASSUME :args (_let_48)))) (let ((_let_144 (ASSUME :args (_let_38)))) (let ((_let_145 (ASSUME :args (_let_45)))) (let ((_let_146 (REFL :args (_let_18)))) (let ((_let_147 (CONG _let_146 (TRANS (SYMM _let_145) (SYMM _let_144)) :args _let_124))) (let ((_let_148 (ASSUME :args (_let_68)))) (let ((_let_149 (REFL :args (tptp.one)))) (let ((_let_150 (ASSUME :args (_let_74)))) (let ((_let_151 (ASSUME :args (_let_63)))) (let ((_let_152 (ASSUME :args (_let_21)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (ASSUME :args (_let_50)))) (let ((_let_155 (ASSUME :args (_let_65)))) (let ((_let_156 (ASSUME :args (_let_66)))) (let ((_let_157 (TRANS (CONG _let_129 _let_138 :args _let_124) (SYMM _let_156)))) (let ((_let_158 (CONG _let_157 (CONG _let_129 (TRANS (SYMM _let_147) _let_148 (CONG (TRANS _let_153 (TRANS _let_152 (CONG _let_146 (SYMM (SYMM _let_155)) :args _let_124) (SYMM (SYMM _let_154)) (CONG _let_153 _let_149 :args _let_124) (SYMM _let_151))) (REFL :args (_let_43)) :args _let_124) (SYMM _let_150) (CONG _let_149 (TRANS (SYMM _let_148) _let_147) :args _let_124) (SYMM _let_143) _let_127) :args _let_125) :args _let_124))) (let ((_let_159 (CONG (TRANS _let_138 (SYMM _let_157)) (REFL :args (_let_59)) :args _let_124))) (let ((_let_160 (ASSUME :args (_let_60)))) (let ((_let_161 (SYMM (SYMM _let_160)))) (let ((_let_162 (CONG _let_129 (TRANS _let_126 _let_143) :args _let_125))) (let ((_let_163 (CONG (TRANS (TRANS _let_162 _let_161 _let_159 _let_158 _let_140) (SYMM _let_141)) (REFL :args (_let_51)) :args _let_124))) (let ((_let_164 (ASSUME :args (_let_69)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (REFL :args (_let_17)))) (let ((_let_167 (ASSUME :args (_let_24)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (ASSUME :args (_let_28)))) (let ((_let_170 (ASSUME :args (_let_32)))) (let ((_let_171 (ASSUME :args (_let_73)))) (let ((_let_172 (ASSUME :args (_let_72)))) (let ((_let_173 (ASSUME :args (_let_30)))) (let ((_let_174 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_169 _let_170 _let_126 _let_128 _let_131 _let_132 _let_135 _let_137 _let_139 _let_136 _let_156 _let_143 _let_144 _let_145 _let_148 _let_150 _let_151 _let_152 _let_154 _let_155 _let_160 _let_164 _let_167 _let_171 _let_172 _let_173 _let_174) (SCOPE (TRANS _let_162 _let_161 _let_159 _let_158 (CONG _let_129 (TRANS (SYMM _let_130) _let_131 (SYMM _let_134) _let_135 (SYMM _let_142) (SYMM _let_163) _let_165 (CONG (TRANS _let_168 (TRANS (CONG (SYMM (SYMM _let_174)) _let_129 :args _let_124) (SYMM _let_173))) _let_166 :args _let_125) (SYMM (SYMM _let_172))) :args _let_124) (SYMM (SYMM _let_171)) (CONG (TRANS (CONG _let_129 (SYMM _let_170) :args _let_124) (SYMM _let_169)) (TRANS (CONG (SYMM _let_168) _let_166 :args _let_125) (SYMM _let_165) _let_163 _let_142 (SYMM _let_135) _let_134 (SYMM _let_131) _let_130) :args _let_124)) :args (_let_28 _let_32 _let_34 _let_42 _let_61 _let_58 _let_64 _let_55 _let_40 _let_53 _let_66 _let_48 _let_38 _let_45 _let_68 _let_74 _let_63 _let_21 _let_50 _let_65 _let_60 _let_69 _let_24 _let_73 _let_72 _let_30 _let_16))) :args (_let_16 _let_21 _let_24 _let_28 _let_30 _let_32 _let_34 _let_38 _let_40 _let_42 _let_45 _let_48 _let_50 _let_53 _let_55 _let_58 _let_60 _let_61 _let_63 _let_64 _let_65 _let_66 _let_68 _let_69 _let_72 _let_73 _let_74))) :args (true _let_123)) :args ((or (not _let_16) _let_39 (not _let_21) (not _let_24) (not _let_28) (not _let_30) (not _let_32) (not _let_34) (not _let_38) (not _let_40) (not _let_42) (not _let_45) (not _let_48) (not _let_50) (not _let_53) (not _let_55) (not _let_58) (not _let_60) (not _let_61) (not _let_63) (not _let_64) (not _let_65) (not _let_66) (not _let_68) (not _let_69) (not _let_72) (not _let_73) (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_43 _let_19 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_74 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_70 _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_94 :args (_let_73 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_14 _let_23 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_121)) _let_122 :args (_let_72 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_121)) _let_122 :args (_let_69 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_43 tptp.one _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_68 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_115) :args _let_120)) _let_119 :args (_let_66 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_119 :args (_let_65 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_52 _let_54 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_64 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.one _let_18 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_63 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_116)) _let_117 :args (_let_61 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one _let_46 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_116)) _let_117 :args (_let_60 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_116)) _let_117 :args (_let_58 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args _let_115) :args (_let_113))) _let_114 :args (_let_55 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_96)) _let_97 :args (_let_53 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.one tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_50 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_17 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93))) _let_94 :args (_let_48 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_17 _let_35 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93))) _let_94 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_20 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_42 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_91 :args (_let_40 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_107)) :args ((or _let_106 _let_108 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_81 _let_109 (not _let_110)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_83 1)) _let_89 :args ((not _let_81) true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) C) B) true))))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_109 true _let_81 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_27 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_107 false _let_77)) :args (_let_108 true _let_106 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or (not _let_102) _let_38 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_104)) _let_105 :args (_let_102 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_36 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_103 false _let_77)) :args (_let_38 false _let_102 false _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_99)) :args ((or (not _let_98) _let_34 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_100)) _let_101 :args (_let_98 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_20 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_99 false _let_77)) :args (_let_34 false _let_98 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.multiplication B C))))) :args _let_96)) _let_97 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_24 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_21 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_82 _let_16 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG (REFL :args (_let_83)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_75))) :args _let_87)) :args ((or _let_75 _let_83))) _let_89 :args (_let_75 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_14 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_76 false _let_77)) :args (_let_16 false _let_75 false _let_76)) :args (false false _let_74 false _let_73 false _let_72 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_58 false _let_55 false _let_53 false _let_50 false _let_48 false _let_45 false _let_42 false _let_40 true _let_39 false _let_38 false _let_34 false _let_32 false _let_30 false _let_28 false _let_24 false _let_21 false _let_16)) :args (_let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.60/26.24 )
% 25.60/26.24 % SZS output end Proof for KLE045+1
% 25.60/26.24 % cvc5---1.0.5 exiting
% 25.60/26.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------