TSTP Solution File: KLE142+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE142+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 05:27:24 EDT 2023
% Result : Theorem 23.91s 24.13s
% Output : Proof 23.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KLE142+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:08:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 23.91/24.13 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HnPm4RHFUu/cvc5---1.0.5_14390.p...
% 23.91/24.13 ------- get file name : TPTP file name is KLE142+2
% 23.91/24.13 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14390.smt2...
% 23.91/24.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 23.91/24.13 --- Run --no-e-matching --full-saturate-quant at 5...
% 23.91/24.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 23.91/24.13 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 23.91/24.13 % SZS status Theorem for KLE142+2
% 23.91/24.13 % SZS output start Proof for KLE142+2
% 23.91/24.13 (
% 23.91/24.13 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration (tptp.strong_iteration X0)))) (let ((_let_2 (tptp.strong_iteration tptp.one))) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_16 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_18 (tptp.star tptp.one))) (let ((_let_19 (tptp.strong_iteration tptp.one))) (let ((_let_20 (tptp.multiplication _let_19 _let_18))) (let ((_let_21 (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_22 (tptp.addition (tptp.multiplication _let_21 _let_20) tptp.one))) (let ((_let_23 (= _let_22 (tptp.addition _let_20 _let_22)))) (let ((_let_24 (tptp.leq _let_20 _let_22))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (tptp.strong_iteration _let_19))) (let ((_let_30 (tptp.multiplication tptp.one _let_29))) (let ((_let_31 (= _let_29 _let_30))) (let ((_let_32 (tptp.multiplication _let_19 _let_29))) (let ((_let_33 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_21))) (let ((_let_34 (tptp.multiplication _let_33 _let_19))) (let ((_let_35 (tptp.addition _let_32 tptp.one))) (let ((_let_36 (= (tptp.addition _let_34 _let_35) (tptp.addition (tptp.addition _let_34 _let_32) tptp.one)))) (let ((_let_37 (tptp.addition tptp.one _let_33))) (let ((_let_38 (tptp.multiplication tptp.one _let_19))) (let ((_let_39 (tptp.addition tptp.one _let_37))) (let ((_let_40 (= (tptp.multiplication _let_39 _let_19) (tptp.addition _let_38 (tptp.multiplication _let_37 _let_19))))) (let ((_let_41 (tptp.addition _let_33 tptp.one))) (let ((_let_42 (= (tptp.multiplication _let_41 _let_19) (tptp.addition _let_34 _let_38)))) (let ((_let_43 (tptp.addition tptp.one tptp.one))) (let ((_let_44 (= _let_39 (tptp.addition _let_43 _let_33)))) (let ((_let_45 (= _let_41 _let_37))) (let ((_let_46 (tptp.strong_iteration _let_21))) (let ((_let_47 (= _let_19 (tptp.addition _let_46 _let_19)))) (let ((_let_48 (= _let_21 (tptp.addition (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24) (tptp.multiplication _let_21 tptp.zero))))) (let ((_let_49 (= _let_21 _let_41))) (let ((_let_50 (tptp.multiplication _let_19 tptp.zero))) (let ((_let_51 (tptp.strong_iteration (tptp.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_52 (= (tptp.addition _let_51 (tptp.addition _let_50 _let_19)) (tptp.addition (tptp.addition _let_51 _let_50) _let_19)))) (let ((_let_53 (tptp.multiplication _let_50 _let_51))) (let ((_let_54 (tptp.multiplication tptp.one _let_51))) (let ((_let_55 (tptp.addition tptp.one _let_50))) (let ((_let_56 (= (tptp.multiplication _let_55 _let_51) (tptp.addition _let_54 _let_53)))) (let ((_let_57 (tptp.addition _let_18 tptp.zero))) (let ((_let_58 (= (tptp.multiplication _let_19 _let_57) (tptp.addition _let_20 _let_50)))) (let ((_let_59 (tptp.multiplication _let_19 tptp.one))) (let ((_let_60 (= _let_19 _let_59))) (let ((_let_61 (tptp.multiplication tptp.zero _let_51))) (let ((_let_62 (= (tptp.multiplication _let_19 _let_61) _let_53))) (let ((_let_63 (= _let_51 _let_54))) (let ((_let_64 (= tptp.zero _let_61))) (let ((_let_65 (tptp.addition _let_30 _let_32))) (let ((_let_66 (tptp.addition tptp.one _let_65))) (let ((_let_67 (= (tptp.addition tptp.one _let_66) (tptp.addition _let_43 _let_65)))) (let ((_let_68 (= _let_35 (tptp.addition tptp.one _let_32)))) (let ((_let_69 (= _let_51 (tptp.multiplication _let_51 tptp.one)))) (let ((_let_70 (= _let_66 (tptp.addition (tptp.addition tptp.one _let_30) _let_32)))) (let ((_let_71 (tptp.addition _let_50 _let_59))) (let ((_let_72 (= (tptp.addition tptp.one _let_71) (tptp.addition _let_55 _let_59)))) (let ((_let_73 (tptp.star tptp.zero))) (let ((_let_74 (tptp.multiplication _let_29 _let_73))) (let ((_let_75 (= _let_59 (tptp.addition _let_74 _let_59)))) (let ((_let_76 (= (tptp.multiplication (tptp.addition tptp.one _let_19) _let_29) _let_65))) (let ((_let_77 (tptp.multiplication _let_29 tptp.zero))) (let ((_let_78 (tptp.multiplication _let_29 tptp.one))) (let ((_let_79 (tptp.addition tptp.one tptp.zero))) (let ((_let_80 (= (tptp.multiplication _let_29 _let_79) (tptp.addition _let_78 _let_77)))) (let ((_let_81 (tptp.multiplication tptp.one tptp.one))) (let ((_let_82 (= (tptp.multiplication tptp.one (tptp.addition tptp.one _let_29)) (tptp.addition _let_81 _let_30)))) (let ((_let_83 (= _let_77 (tptp.addition _let_19 _let_77)))) (let ((_let_84 (= _let_29 _let_78))) (let ((_let_85 (= (tptp.multiplication _let_19 _let_35) (tptp.addition (tptp.multiplication _let_19 _let_32) _let_59)))) (let ((_let_86 (= _let_19 (tptp.addition _let_20 _let_19)))) (let ((_let_87 (= _let_29 _let_35))) (let ((_let_88 (tptp.addition tptp.zero tptp.one))) (let ((_let_89 (= (tptp.multiplication _let_19 _let_88) _let_71))) (let ((_let_90 (tptp.multiplication tptp.zero _let_73))) (let ((_let_91 (= tptp.zero _let_90))) (let ((_let_92 (= tptp.one _let_81))) (let ((_let_93 (= _let_50 _let_55))) (let ((_let_94 (= _let_79 _let_88))) (let ((_let_95 (= _let_73 (tptp.addition tptp.one _let_90)))) (let ((_let_96 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_97 (= _let_18 _let_57))) (let ((_let_98 (= tptp.one _let_43))) (let ((_let_99 (= tptp.one _let_79))) (let ((_let_100 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_29 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102)) _let_101 :args (_let_31 false _let_100)))) (let ((_let_104 (_let_16))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_9))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_17))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (tptp.leq _let_46 _let_19))) (let ((_let_111 (= _let_110 _let_47))) (let ((_let_112 (forall ((BOUND_VARIABLE_777 $$unsorted)) (tptp.leq (tptp.strong_iteration (tptp.strong_iteration BOUND_VARIABLE_777)) (tptp.strong_iteration tptp.one))))) (let ((_let_113 (tptp.leq _let_51 _let_19))) (let ((_let_114 (= _let_19 (tptp.addition _let_51 _let_19)))) (let ((_let_115 (= _let_113 _let_114))) (let ((_let_116 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_118)) _let_117 :args (_let_99 false _let_116)))) (let ((_let_120 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_122)) _let_121 :args (_let_96 false _let_120)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.one tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_108)) _let_109 :args (_let_94 false _let_17)))) (let ((_let_125 (tptp.leq tptp.one _let_50))) (let ((_let_126 (= _let_125 _let_93))) (let ((_let_127 (tptp.leq tptp.one (tptp.addition _let_81 tptp.zero)))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_125))) (let ((_let_130 (forall ((A $$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_131 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (_let_130))) (let ((_let_133 (tptp.leq tptp.one tptp.one))) (let ((_let_134 (= _let_133 _let_98))) (let ((_let_135 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (tptp.one QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args _let_137) :args (_let_135))) _let_136 :args (_let_98 false _let_135)))) (let ((_let_139 (not _let_98))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args _let_137) :args _let_102)) _let_101 :args (_let_92 false _let_100)))) (let ((_let_141 (not _let_92))) (let ((_let_142 (not _let_99))) (let ((_let_143 (and _let_133 _let_99 _let_92))) (let ((_let_144 (_let_133 _let_99 _let_92))) (let ((_let_145 (ASSUME :args (_let_133)))) (let ((_let_146 (APPLY_UF tptp.leq))) (let ((_let_147 (ASSUME :args (_let_99)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (APPLY_UF tptp.addition))) (let ((_let_150 (REFL :args (tptp.zero)))) (let ((_let_151 (ASSUME :args (_let_92)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (REFL :args (tptp.one)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_126)) :args ((or (not _let_125) _let_93 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_125 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_147 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG _let_153 (TRANS (CONG _let_152 _let_150 :args _let_149) _let_148) :args _let_146) (TRUE_INTRO _let_145))) :args _let_144)) :args _let_144)) :args (true _let_143)) :args ((or _let_142 (not _let_133) _let_127 _let_141))) _let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_134)) :args ((or _let_133 _let_139 (not _let_134)))) _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.one tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_28)) _let_27 :args (_let_134 false _let_26)) :args (_let_133 false _let_98 false _let_134)) _let_119 :args (_let_127 false _let_92 false _let_133 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.one tptp.zero tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_132)) _let_131 :args (_let_129 false _let_130)) :args (_let_125 false _let_127 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.one _let_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) _let_27 :args (_let_126 false _let_26)) :args (_let_93 false _let_125 false _let_126)))) (let ((_let_155 (_let_10))) (let ((_let_156 (ASSUME :args _let_155))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_19 tptp.zero tptp.one QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_155)) _let_156 :args (_let_89 false _let_10)))) (let ((_let_158 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (_let_158))) (let ((_let_161 (_let_51 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_161) :args _let_160)) _let_159 :args (_let_69 false _let_158)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_161) :args _let_122)) _let_121 :args (_let_64 false _let_120)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args _let_161) :args _let_102)) _let_101 :args (_let_63 false _let_100)))) (let ((_let_165 (_let_13))) (let ((_let_166 (ASSUME :args _let_165))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_19 tptp.zero _let_51 QUANTIFIERS_INST_CBQI_PROP)) :args _let_165)) _let_166 :args (_let_62 false _let_13)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_160)) _let_159 :args (_let_60 false _let_158)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.one _let_50 _let_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) _let_107 :args (_let_56 false _let_9)))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_19 _let_50 _let_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_104)) _let_105 :args (_let_52 false _let_16)))) (let ((_let_171 (not _let_52))) (let ((_let_172 (not _let_56))) (let ((_let_173 (not _let_60))) (let ((_let_174 (not _let_62))) (let ((_let_175 (not _let_63))) (let ((_let_176 (not _let_64))) (let ((_let_177 (not _let_69))) (let ((_let_178 (not _let_89))) (let ((_let_179 (not _let_93))) (let ((_let_180 (not _let_94))) (let ((_let_181 (not _let_96))) (let ((_let_182 (and _let_99 _let_96 _let_94 _let_93 _let_89 _let_60 _let_69 _let_64 _let_63 _let_62 _let_56 _let_52))) (let ((_let_183 (REFL :args (_let_19)))) (let ((_let_184 (ASSUME :args (_let_69)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (ASSUME :args (_let_60)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (APPLY_UF tptp.multiplication))) (let ((_let_189 (ASSUME :args (_let_94)))) (let ((_let_190 (CONG _let_183 (TRANS (SYMM _let_189) _let_148) :args _let_188))) (let ((_let_191 (ASSUME :args (_let_89)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (REFL :args (_let_50)))) (let ((_let_194 (REFL :args (_let_51)))) (let ((_let_195 (ASSUME :args (_let_52)))) (let ((_let_196 (SYMM 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_let_296))) (let ((_let_345 (TRANS _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303 _let_291))) (let ((_let_346 (CONG _let_183 _let_345 :args _let_188))) (let ((_let_347 (CONG (TRANS (TRANS _let_346 _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259) _let_256) _let_294 :args _let_149))) (let ((_let_348 (ASSUME :args (_let_85)))) (let ((_let_349 (SYMM _let_348))) (let ((_let_350 (SYMM _let_349))) (let ((_let_351 (CONG _let_183 _let_290 :args _let_188))) (let ((_let_352 (SYMM _let_343))) (let ((_let_353 (SYMM _let_340))) (let ((_let_354 (TRANS (CONG (SYMM _let_345) _let_153 :args _let_149) _let_291))) (let ((_let_355 (CONG (TRANS _let_354 (TRANS _let_290 _let_302 _let_309 _let_353 _let_314 _let_352 _let_298 _let_296 _let_351 _let_350 _let_347 _let_339 _let_187 _let_336) (TRANS _let_337 _let_186) _let_187) _let_198 :args _let_188))) (let ((_let_356 (CONG (SYMM _let_354) _let_150 :args _let_188))) (let ((_let_357 (SYMM _let_351))) (let ((_let_358 (SYMM _let_347))) (let ((_let_359 (SYMM _let_255))) (let ((_let_360 (CONG _let_183 _let_359 :args _let_188))) (let ((_let_361 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_322)) :args ((or (not _let_321) _let_83 (not _let_322)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_334)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_335 _let_250 _let_252 _let_147 _let_257 _let_290 _let_302 _let_263 _let_186 _let_189 _let_191 _let_209 _let_295 _let_297 _let_314 _let_151 _let_310 _let_305 _let_348 _let_338 _let_198 _let_336) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_186 (SYMM _let_360)) (TRANS _let_360 _let_338 _let_358 _let_349 _let_357 _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259 _let_256)) (TRANS _let_356 _let_355 _let_200) :args _let_146) (TRUE_INTRO _let_335))) :args (_let_323 _let_95 _let_91 _let_99 _let_84 _let_87 _let_68 _let_98 _let_60 _let_94 _let_89 _let_93 _let_72 _let_76 _let_70 _let_92 _let_82 _let_67 _let_85 _let_75 _let_96 _let_47))) :args (_let_99 _let_98 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_85 _let_84 _let_82 _let_76 _let_323 _let_75 _let_72 _let_70 _let_68 _let_67 _let_47))) :args (true _let_334)) :args ((or _let_142 _let_139 _let_181 _let_282 _let_180 _let_179 _let_141 _let_281 _let_178 _let_280 _let_333 _let_321 _let_279 _let_278 _let_276 (not _let_323) _let_332 _let_274 _let_273 _let_272 _let_271 _let_173 _let_331))) _let_119 _let_138 _let_123 _let_247 _let_124 _let_154 _let_140 _let_244 _let_157 _let_269 _let_330 _let_243 _let_268 _let_267 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_325 _let_323 (not _let_326)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_328)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_284 _let_250 _let_252 _let_147 _let_263 _let_261 _let_257 _let_290 _let_186 _let_189 _let_191 _let_209 _let_295 _let_297 _let_302 _let_305 _let_310 _let_151 _let_314 _let_329 _let_288) (SCOPE (TRUE_ELIM (TRANS (CONG _let_318 (TRANS (CONG (TRANS _let_300 (TRANS _let_289 _let_259)) _let_150 :args _let_149) (CONG (TRANS _let_258 _let_290 (SYMM _let_316)) _let_150 :args _let_149) (SYMM _let_329) (CONG _let_249 _let_148 :args _let_149) _let_316 _let_291) :args _let_146) _let_287 _let_285)) :args (_let_236 _let_95 _let_91 _let_99 _let_98 _let_237 _let_84 _let_87 _let_60 _let_94 _let_89 _let_93 _let_72 _let_76 _let_68 _let_67 _let_82 _let_92 _let_70 _let_327 _let_31))) :args (_let_99 _let_98 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_84 _let_82 _let_237 _let_327 _let_76 _let_236 _let_72 _let_70 _let_68 _let_67 _let_31))) :args (true _let_328)) :args ((or _let_142 _let_139 _let_282 _let_180 _let_179 _let_141 _let_281 _let_178 _let_280 _let_279 _let_278 _let_277 (not _let_327) _let_276 _let_275 _let_324 _let_274 _let_273 _let_272 _let_271 _let_173 _let_270))) _let_119 _let_138 _let_247 _let_124 _let_154 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_let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_89 false _let_87 false _let_85 false _let_84 false _let_82 false _let_76 false _let_323 false _let_75 false _let_72 false _let_70 false _let_68 false _let_67 false _let_60 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_19 _let_77 QUANTIFIERS_INST_CBQI_PROP)) :args _let_28)) _let_27 :args (_let_322 false _let_26)) :args (_let_83 false _let_321 false _let_322)))) (let ((_let_362 (tptp.leq _let_20 _let_19))) (let ((_let_363 (= _let_362 _let_86))) (let ((_let_364 (tptp.addition _let_59 _let_19))) (let ((_let_365 (tptp.leq _let_364 _let_19))) (let ((_let_366 (not _let_365))) (let ((_let_367 (or _let_366 _let_362))) (let ((_let_368 (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_369 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_370 (= _let_19 (tptp.addition _let_364 _let_19)))) (let ((_let_371 (= _let_365 _let_370))) (let ((_let_372 (= (tptp.multiplication _let_19 _let_43) (tptp.addition _let_59 _let_59)))) (let ((_let_373 (and _let_98 _let_372 _let_60))) (let ((_let_374 (ASSUME :args (_let_372)))) (let ((_let_375 (SYMM (SYMM _let_374)))) (let ((_let_376 (CONG _let_183 _let_265 :args _let_188))) (let ((_let_377 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_363)) :args ((or (not _let_362) _let_86 (not _let_363)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_366 _let_362 (not _let_367)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_371)) :args ((or _let_365 (not _let_370) (not _let_371)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_373)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_374 _let_263) (SCOPE (TRANS _let_186 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_20 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) _let_27 :args (_let_363 false _let_26)) :args (_let_86 false _let_362 false _let_363)))) (let ((_let_378 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_97 false _let_116)))) (let ((_let_379 (not _let_58))) (let ((_let_380 (not _let_80))) (let ((_let_381 (not _let_83))) (let ((_let_382 (not _let_86))) (let ((_let_383 (not _let_97))) (let ((_let_384 (and _let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_86 _let_85 _let_84 _let_83 _let_82 _let_80 _let_76 _let_75 _let_72 _let_70 _let_69 _let_68 _let_67 _let_64 _let_63 _let_62 _let_58 _let_56 _let_52 _let_49 _let_48 _let_47 _let_45 _let_44 _let_42 _let_40 _let_36 _let_31))) (let ((_let_385 (ASSUME :args (_let_97)))) (let ((_let_386 (SYMM (SYMM _let_385)))) (let ((_let_387 (CONG _let_183 (SYMM _let_386) :args _let_188))) (let ((_let_388 (ASSUME :args (_let_58)))) (let ((_let_389 (SYMM (SYMM _let_388)))) (let ((_let_390 (SYMM _let_389))) (let ((_let_391 (ASSUME :args (_let_83)))) (let ((_let_392 (SYMM (SYMM _let_391)))) (let ((_let_393 (REFL :args (_let_77)))) (let ((_let_394 (CONG (TRANS (CONG _let_206 (TRANS _let_212 _let_211 _let_203) :args _let_149) _let_208 (CONG _let_210 _let_194 :args _let_188) _let_204 _let_202 _let_200) _let_186 :args _let_149))) (let ((_let_395 (CONG _let_194 (TRANS _let_213 _let_191 (CONG _let_193 _let_187 :args _let_149)) :args _let_149))) (let ((_let_396 (CONG _let_185 _let_186 :args _let_149))) (let ((_let_397 (CONG _let_184 _let_183 :args _let_149))) (let ((_let_398 (SYMM _let_397))) (let ((_let_399 (SYMM _let_396))) (let ((_let_400 (SYMM _let_395))) (let ((_let_401 (SYMM _let_394))) (let ((_let_402 (ASSUME :args (_let_80)))) (let ((_let_403 (SYMM _let_402))) (let ((_let_404 (REFL :args (_let_20)))) (let ((_let_405 (CONG _let_404 (TRANS _let_186 _let_338 _let_358 _let_349 _let_357 _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259 (CONG _let_249 _let_254 :args _let_188) (SYMM _let_403) (CONG (TRANS (TRANS _let_258 _let_290 _let_302 _let_309 _let_353 _let_314 _let_352 _let_298 _let_296 _let_351 _let_350 _let_347 _let_339 _let_213 _let_191 _let_401 _let_196 _let_400) (TRANS _let_399 _let_398) (TRANS _let_397 _let_396 _let_395 _let_197 _let_394 _let_192 _let_190) _let_187) _let_393 :args _let_149) (SYMM _let_392) _let_356 _let_355 _let_200) :args _let_149))) (let ((_let_406 (ASSUME :args (_let_86)))) (let ((_let_407 (SYMM _let_406))) (let ((_let_408 (SYMM _let_407))) (let ((_let_409 (ASSUME :args (_let_48)))) (let ((_let_410 (ASSUME :args (_let_49)))) (let ((_let_411 (SYMM _let_410))) (let ((_let_412 (ASSUME :args (_let_45)))) (let ((_let_413 (CONG (TRANS (SYMM _let_412) _let_411) _let_183 :args _let_188))) (let ((_let_414 (CONG _let_411 _let_183 :args _let_188))) (let ((_let_415 (ASSUME :args (_let_42)))) (let ((_let_416 (SYMM _let_415))) (let ((_let_417 (CONG _let_264 _let_183 :args _let_188))) (let ((_let_418 (CONG _let_263 (TRANS _let_290 _let_302 _let_309 _let_353 _let_314 _let_352 _let_298 _let_296 _let_351 _let_350 _let_347 _let_339 _let_187) :args _let_188))) (let ((_let_419 (REFL :args (_let_34)))) (let ((_let_420 (CONG _let_419 (TRANS _let_346 _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303 _let_291 (SYMM _let_289) _let_418 _let_417) :args _let_149))) (let ((_let_421 (CONG (TRANS (TRANS (CONG _let_419 (SYMM _let_346) :args _let_149) _let_420 _let_416 _let_414 (SYMM _let_413)) (TRANS _let_413 (CONG _let_409 _let_183 :args _let_188) (CONG (SYMM _let_409) (TRANS _let_408 _let_405 _let_390 _let_387) :args _let_188))) _let_153 :args _let_149))) (let ((_let_422 (ASSUME :args (_let_36)))) (let ((_let_423 (SYMM _let_422))) (let ((_let_424 (CONG _let_419 (TRANS _let_346 _let_344 _let_297 _let_343 _let_315 _let_340 _let_304 _let_303) :args _let_149))) (let ((_let_425 (CONG _let_359 _let_183 :args _let_188))) (let ((_let_426 (ASSUME :args (_let_40)))) (let ((_let_427 (ASSUME :args (_let_44)))) (let ((_let_428 (tptp.multiplication _let_46 tptp.one))) (let ((_let_429 (tptp.leq _let_20 _let_428))) (let ((_let_430 (not _let_24))) (let ((_let_431 (or _let_430 _let_429))) (let ((_let_432 (= _let_46 _let_428))) (let ((_let_433 (tptp.leq _let_19 _let_46))) (let ((_let_434 (not _let_429))) (let ((_let_435 (forall ((BOUND_VARIABLE_784 $$unsorted)) (tptp.leq (tptp.strong_iteration tptp.one) (tptp.strong_iteration (tptp.strong_iteration BOUND_VARIABLE_784)))))) (let ((_let_436 (not _let_433))) (let ((_let_437 (not _let_435))) (let ((_let_438 (_let_436))) (let ((_let_439 (_let_437))) (let ((_let_440 (not _let_432))) (let ((_let_441 (and _let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_86 _let_85 _let_84 _let_83 _let_82 _let_80 _let_76 _let_75 _let_72 _let_70 _let_69 _let_68 _let_67 _let_64 _let_63 _let_62 _let_58 _let_56 _let_52 _let_436 _let_47 _let_432))) (let ((_let_442 (ASSUME :args _let_438))) (let ((_let_443 (ASSUME :args (_let_432)))) (let ((_let_444 (TRANS _let_251 (CONG _let_153 _let_253 :args _let_149) _let_148))) (let ((_let_445 (CONG _let_183 _let_444 :args _let_188))) (let ((_let_446 (CONG _let_249 (SYMM _let_444) :args _let_188))) (let ((_let_447 (SYMM _let_446))) (let ((_let_448 (CONG _let_153 (TRANS _let_447 _let_258) :args _let_188))) (let ((_let_449 (CONG (TRANS (SYMM _let_448) (TRANS _let_448 _let_342 _let_311 _let_341)) _let_299 :args _let_149))) (let ((_let_450 (TRANS _let_344 _let_297 _let_449 _let_315 _let_340 _let_304 _let_303 _let_291))) (let ((_let_451 (CONG (TRANS (TRANS (CONG _let_183 _let_450 :args _let_188) _let_344 _let_297 _let_449 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259) _let_446) _let_294 :args _let_149))) (let ((_let_452 (SYMM _let_449))) (let ((_let_453 (SYMM _let_451))) (let ((_let_454 (TRANS (CONG (SYMM _let_450) _let_153 :args _let_149) _let_291))) (let ((_let_455 (TRANS _let_337 _let_186 _let_338 _let_453 _let_349 _let_357 _let_344 _let_297 _let_449 _let_315 _let_340 _let_304 _let_303 _let_291))) (let ((_let_456 (TRANS _let_187 _let_336))) (let ((_let_457 (CONG (TRANS (SYMM _let_455) (SYMM _let_456) _let_187) (REFL :args (_let_18)) :args _let_188))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 (not _let_23) (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_430 _let_429 (not _let_431)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_441)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_442 _let_186 _let_147 _let_252 _let_250 _let_338 _let_257 _let_290 _let_302 _let_263 _let_189 _let_191 _let_209 _let_295 _let_297 _let_314 _let_151 _let_310 _let_305 _let_348 _let_406 _let_402 _let_198 _let_201 _let_203 _let_207 _let_205 _let_195 _let_184 _let_391 _let_336 _let_388 _let_385 _let_443) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_457) (TRANS _let_457 (CONG _let_183 _let_386 :args _let_188) _let_389 (CONG _let_404 (TRANS _let_212 (CONG (TRANS _let_186 _let_456 _let_455 (SYMM _let_454)) _let_199 :args _let_188) (CONG _let_454 _let_150 :args _let_188) _let_392 (CONG (TRANS _let_186 (TRANS _let_213 _let_191 _let_401 _let_196 _let_400 _let_399 _let_398) (TRANS _let_397 _let_396) (TRANS _let_395 _let_197 _let_394 _let_192 _let_190 _let_338 _let_453 _let_349 _let_357 _let_344 _let_297 _let_449 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259)) _let_393 :args _let_149) _let_403 (CONG _let_249 _let_148 :args _let_188) _let_258 _let_290 _let_302 _let_309 _let_353 _let_314 _let_452 _let_298 _let_296 _let_351 _let_350 _let_451 _let_339 _let_187) :args _let_149) _let_407 _let_186 _let_338 _let_453 _let_349 _let_357 _let_344 _let_297 _let_449 _let_315 _let_340 _let_304 _let_303 _let_291 _let_259 _let_446) (TRANS _let_447 _let_258 _let_290 _let_302 _let_309 _let_353 _let_314 _let_452 _let_298 _let_296 _let_351 _let_350 _let_451 _let_339 (SYMM _let_445)) (TRANS _let_445 _let_187)) (SYMM _let_443) :args _let_146) (FALSE_INTRO _let_442))) :args (_let_436 _let_60 _let_99 _let_91 _let_95 _let_75 _let_84 _let_87 _let_68 _let_98 _let_94 _let_89 _let_93 _let_72 _let_76 _let_70 _let_92 _let_82 _let_67 _let_85 _let_86 _let_80 _let_96 _let_64 _let_62 _let_56 _let_63 _let_52 _let_69 _let_83 _let_47 _let_58 _let_97 _let_432))) :args (_let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_86 _let_85 _let_84 _let_83 _let_82 _let_80 _let_76 _let_75 _let_72 _let_70 _let_69 _let_68 _let_67 _let_64 _let_63 _let_62 _let_58 _let_56 _let_52 _let_436 _let_47 _let_432))) :args (true _let_441)) (CONG (REFL :args (_let_142)) (REFL :args (_let_139)) (REFL :args (_let_383)) (REFL :args (_let_181)) (REFL :args (_let_282)) (REFL :args (_let_180)) (REFL :args (_let_179)) (REFL :args (_let_141)) (REFL :args (_let_281)) (REFL :args (_let_178)) (REFL :args (_let_280)) (REFL :args (_let_173)) (REFL :args (_let_382)) (REFL :args (_let_333)) (REFL :args (_let_279)) (REFL :args (_let_381)) (REFL :args (_let_278)) (REFL :args (_let_380)) (REFL :args (_let_276)) (REFL :args (_let_332)) (REFL :args (_let_274)) (REFL :args (_let_273)) (REFL :args (_let_177)) (REFL :args (_let_272)) (REFL :args (_let_271)) (REFL :args (_let_176)) (REFL :args (_let_175)) (REFL :args (_let_174)) (REFL :args (_let_379)) (REFL :args (_let_172)) (REFL :args (_let_171)) (MACRO_SR_PRED_INTRO :args ((= (not _let_436) _let_433))) (REFL :args (_let_331)) (REFL :args (_let_440)) (REFL :args (_let_434)) :args _let_214)) :args ((or _let_142 _let_139 _let_383 _let_181 _let_282 _let_180 _let_179 _let_141 _let_281 _let_178 _let_280 _let_382 _let_333 _let_279 _let_381 _let_278 _let_380 _let_276 _let_332 _let_274 _let_273 _let_177 _let_272 _let_271 _let_176 _let_175 _let_174 _let_173 _let_379 _let_172 _let_171 _let_433 _let_331 _let_440 _let_434))) _let_119 _let_138 _let_378 _let_123 _let_247 _let_124 _let_154 _let_140 _let_244 _let_157 _let_269 _let_377 _let_330 _let_243 _let_361 _let_268 _let_320 _let_267 _let_319 _let_229 _let_228 _let_162 _let_227 _let_226 _let_163 _let_164 _let_167 _let_168 _let_225 _let_169 _let_170 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_439)) :args _let_439)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_437) _let_435))) (REFL :args _let_438) :args _let_214)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) _let_217 :args (_let_437 false _let_112)) :args (_let_436 true _let_435)) _let_220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_160)) _let_159 :args (_let_432 false _let_158)) :args (_let_434 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_80 false _let_76 false _let_75 false _let_72 false _let_70 false _let_69 false _let_68 false _let_67 false _let_64 false _let_63 false _let_62 false _let_60 false _let_58 false _let_56 false _let_52 true _let_433 false _let_47 false _let_432)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_21 tptp.one _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_132)) _let_131 :args (_let_431 false _let_130)) :args (_let_430 true _let_429 false _let_431)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_384)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_385 _let_388 _let_198 _let_336 _let_338 _let_250 _let_252 _let_147 _let_257 _let_290 _let_302 _let_263 _let_189 _let_191 _let_209 _let_295 _let_297 _let_314 _let_151 _let_310 _let_305 _let_348 _let_391 _let_201 _let_203 _let_207 _let_205 _let_195 _let_184 _let_402 _let_406 _let_288 _let_409 _let_410 _let_412 _let_415 _let_422 _let_426 _let_427) (SCOPE (TRANS (SYMM _let_421) _let_423 (SYMM _let_424) _let_420 _let_416 _let_414 (CONG (TRANS _let_410 _let_412 (CONG _let_263 (REFL :args (_let_33)) :args _let_149) (SYMM _let_427)) _let_183 :args _let_188) (SYMM (SYMM _let_426)) (CONG (REFL :args (_let_38)) (TRANS _let_413 (SYMM _let_414) _let_415) :args _let_149) (CONG (TRANS (SYMM _let_425) (TRANS _let_425 (SYMM _let_417) (SYMM _let_418) _let_289 _let_259) (TRANS _let_258 _let_290 _let_302 _let_309 _let_353 _let_314 _let_352 _let_298 _let_296 _let_351 _let_350 _let_347 _let_339 _let_187 _let_408 _let_405 _let_390 _let_387)) (TRANS (SYMM _let_420) _let_424 (SYMM _let_423) _let_421) :args _let_149)) :args (_let_60 _let_97 _let_58 _let_96 _let_47 _let_75 _let_95 _let_91 _let_99 _let_84 _let_87 _let_68 _let_98 _let_94 _let_89 _let_93 _let_72 _let_76 _let_70 _let_92 _let_82 _let_67 _let_85 _let_83 _let_64 _let_62 _let_56 _let_63 _let_52 _let_69 _let_80 _let_86 _let_31 _let_48 _let_49 _let_45 _let_42 _let_36 _let_40 _let_44))) :args (_let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_87 _let_60 _let_86 _let_85 _let_84 _let_83 _let_82 _let_80 _let_76 _let_75 _let_72 _let_70 _let_69 _let_68 _let_67 _let_64 _let_63 _let_62 _let_58 _let_56 _let_52 _let_49 _let_48 _let_47 _let_45 _let_44 _let_42 _let_40 _let_36 _let_31))) :args (true _let_384)) :args ((or _let_142 _let_139 _let_383 _let_181 _let_282 _let_180 _let_179 _let_141 _let_281 _let_178 _let_280 _let_382 _let_333 _let_279 _let_381 _let_278 _let_380 _let_276 _let_332 _let_274 _let_273 _let_177 _let_272 _let_271 _let_176 _let_175 _let_174 _let_173 _let_379 _let_172 _let_171 (not _let_49) (not _let_48) _let_331 (not _let_45) (not _let_44) (not _let_42) (not _let_40) (not _let_36) _let_23 _let_270))) _let_119 _let_138 _let_378 _let_123 _let_247 _let_124 _let_154 _let_140 _let_244 _let_157 _let_269 _let_377 _let_330 _let_243 _let_361 _let_268 _let_320 _let_267 _let_319 _let_229 _let_228 _let_162 _let_227 _let_226 _let_163 _let_164 _let_167 _let_168 _let_225 _let_169 _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_219) :args _let_223)) _let_224 :args (_let_49 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_222 :args _let_219) :args _let_221)) _let_222 :args (_let_48 false _let_3)) _let_220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_33 tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_109 :args (_let_45 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_33 tptp.one tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_104)) _let_105 :args (_let_44 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_33 tptp.one _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.one _let_37 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) _let_107 :args (_let_40 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.one _let_32 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_36 false _let_16)) _let_103 :args (_let_23 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_80 false _let_76 false _let_75 false _let_72 false _let_70 false _let_69 false _let_68 false _let_67 false _let_64 false _let_63 false _let_62 false _let_60 false _let_58 false _let_56 false _let_52 false _let_49 false _let_48 false _let_47 false _let_45 false _let_44 false _let_42 false _let_40 false _let_36 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_20 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (false true _let_24 false _let_23 false _let_25)) :args (_let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))) (forall ((A $$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_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 23.91/24.14 )
% 23.91/24.14 % SZS output end Proof for KLE142+2
% 23.91/24.14 % cvc5---1.0.5 exiting
% 23.91/24.14 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------