TSTP Solution File: KLE092+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE092+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:27:14 EDT 2023
% Result : Theorem 52.49s 52.67s
% Output : Proof 52.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE092+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n020.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 12:20:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 52.49/52.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Lcc2AFoESv/cvc5---1.0.5_29213.p...
% 52.49/52.67 ------- get file name : TPTP file name is KLE092+1
% 52.49/52.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29213.smt2...
% 52.49/52.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 52.49/52.67 --- Run --no-e-matching --full-saturate-quant at 5...
% 52.49/52.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 52.49/52.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 52.49/52.67 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 52.49/52.67 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 52.49/52.67 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 52.49/52.67 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 52.49/52.67 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 52.49/52.67 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 52.49/52.67 % SZS status Theorem for KLE092+1
% 52.49/52.67 % SZS output start Proof for KLE092+1
% 52.49/52.67 (
% 52.49/52.67 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.domain _let_1) _let_1)))))) (let ((_let_2 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_7 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_8 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) 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.multiplication tptp.zero tptp.zero))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (tptp.antidomain tptp.zero))) (let ((_let_23 (tptp.antidomain _let_22))) (let ((_let_24 (tptp.multiplication tptp.zero _let_23))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (tptp.coantidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.antidomain _let_26))) (let ((_let_28 (tptp.multiplication _let_27 _let_26))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (tptp.antidomain _let_27))) (let ((_let_31 (tptp.multiplication _let_30 _let_27))) (let ((_let_32 (= tptp.zero _let_31))) (let ((_let_33 (= tptp.zero (tptp.multiplication _let_23 _let_22)))) (let ((_let_34 (tptp.addition _let_30 _let_27))) (let ((_let_35 (= tptp.one _let_34))) (let ((_let_36 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_37 (tptp.antidomain tptp.one))) (let ((_let_38 (tptp.multiplication _let_37 tptp.one))) (let ((_let_39 (= tptp.zero _let_38))) (let ((_let_40 (tptp.antidomain _let_37))) (let ((_let_41 (= tptp.one (tptp.addition _let_40 _let_37)))) (let ((_let_42 (tptp.coantidomain tptp.one))) (let ((_let_43 (tptp.multiplication tptp.one _let_42))) (let ((_let_44 (= tptp.zero _let_43))) (let ((_let_45 (tptp.coantidomain _let_42))) (let ((_let_46 (= tptp.one (tptp.addition _let_45 _let_42)))) (let ((_let_47 (tptp.coantidomain tptp.zero))) (let ((_let_48 (= _let_47 (tptp.addition _let_47 tptp.zero)))) (let ((_let_49 (= _let_37 _let_38))) (let ((_let_50 (= _let_23 (tptp.multiplication _let_23 tptp.one)))) (let ((_let_51 (= _let_42 _let_43))) (let ((_let_52 (= _let_40 (tptp.addition _let_40 tptp.zero)))) (let ((_let_53 (tptp.multiplication tptp.zero _let_30))) (let ((_let_54 (= (tptp.multiplication tptp.zero _let_31) (tptp.multiplication _let_53 _let_27)))) (let ((_let_55 (= (tptp.multiplication _let_30 (tptp.multiplication _let_27 tptp.zero)) (tptp.multiplication _let_31 tptp.zero)))) (let ((_let_56 (tptp.addition _let_27 _let_30))) (let ((_let_57 (= _let_34 _let_56))) (let ((_let_58 (tptp.antidomain _let_20))) (let ((_let_59 (tptp.addition _let_58 _let_30))) (let ((_let_60 (tptp.addition _let_59 _let_27))) (let ((_let_61 (= (tptp.addition _let_58 _let_34) _let_60))) (let ((_let_62 (tptp.addition _let_26 tptp.zero))) (let ((_let_63 (= _let_26 _let_62))) (let ((_let_64 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_64))) (let ((_let_66 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_67 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_66))) (let ((_let_68 (tptp.multiplication _let_26 tptp.zero))) (let ((_let_69 (= tptp.zero _let_68))) (let ((_let_70 (tptp.multiplication tptp.zero _let_26))) (let ((_let_71 (= tptp.zero _let_70))) (let ((_let_72 (tptp.coantidomain _let_26))) (let ((_let_73 (tptp.multiplication _let_26 _let_72))) (let ((_let_74 (= tptp.zero _let_73))) (let ((_let_75 (tptp.coantidomain (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_76 (tptp.coantidomain _let_64))) (let ((_let_77 (tptp.addition _let_76 _let_75))) (let ((_let_78 (= _let_75 _let_77))) (let ((_let_79 (tptp.addition _let_72 _let_26))) (let ((_let_80 (= tptp.one _let_79))) (let ((_let_81 (tptp.addition _let_27 tptp.zero))) (let ((_let_82 (= _let_27 _let_81))) (let ((_let_83 (tptp.multiplication tptp.one _let_30))) (let ((_let_84 (= _let_30 _let_83))) (let ((_let_85 (= _let_27 (tptp.multiplication tptp.one _let_27)))) (let ((_let_86 (= _let_30 (tptp.multiplication _let_30 tptp.one)))) (let ((_let_87 (= _let_27 (tptp.multiplication _let_27 tptp.one)))) (let ((_let_88 (= (tptp.multiplication _let_27 _let_68) (tptp.multiplication _let_28 tptp.zero)))) (let ((_let_89 (= tptp.zero _let_53))) (let ((_let_90 (tptp.addition tptp.zero _let_26))) (let ((_let_91 (= _let_90 _let_62))) (let ((_let_92 (tptp.multiplication _let_26 _let_27))) (let ((_let_93 (tptp.multiplication _let_72 _let_27))) (let ((_let_94 (tptp.addition _let_93 _let_92))) (let ((_let_95 (= (tptp.multiplication _let_79 _let_27) _let_94))) (let ((_let_96 (tptp.multiplication _let_26 _let_30))) (let ((_let_97 (tptp.multiplication _let_72 _let_30))) (let ((_let_98 (tptp.addition _let_97 _let_96))) (let ((_let_99 (= (tptp.multiplication _let_79 _let_30) _let_98))) (let ((_let_100 (tptp.multiplication _let_27 _let_72))) (let ((_let_101 (= (tptp.multiplication _let_27 _let_79) (tptp.addition _let_100 _let_28)))) (let ((_let_102 (tptp.addition tptp.zero _let_27))) (let ((_let_103 (= _let_81 _let_102))) (let ((_let_104 (= _let_60 (tptp.addition _let_27 _let_59)))) (let ((_let_105 (tptp.addition _let_26 _let_72))) (let ((_let_106 (= _let_79 _let_105))) (let ((_let_107 (= (tptp.multiplication tptp.zero _let_73) (tptp.multiplication _let_70 _let_72)))) (let ((_let_108 (tptp.antidomain (tptp.multiplication _let_27 (tptp.antidomain _let_23))))) (let ((_let_109 (= _let_108 (tptp.addition (tptp.antidomain (tptp.multiplication _let_27 _let_22)) _let_108)))) (let ((_let_110 (tptp.antidomain _let_83))) (let ((_let_111 (tptp.multiplication tptp.one _let_26))) (let ((_let_112 (tptp.antidomain _let_111))) (let ((_let_113 (tptp.addition _let_112 _let_110))) (let ((_let_114 (= _let_110 _let_113))) (let ((_let_115 (= tptp.zero (tptp.multiplication (tptp.antidomain _let_30) _let_30)))) (let ((_let_116 (= (tptp.multiplication _let_81 _let_72) (tptp.addition _let_100 (tptp.multiplication tptp.zero _let_72))))) (let ((_let_117 (tptp.multiplication _let_72 tptp.zero))) (let ((_let_118 (= tptp.zero _let_117))) (let ((_let_119 (tptp.multiplication _let_72 tptp.one))) (let ((_let_120 (= _let_72 _let_119))) (let ((_let_121 (= _let_26 (tptp.multiplication _let_26 tptp.one)))) (let ((_let_122 (tptp.multiplication tptp.one _let_72))) (let ((_let_123 (= _let_72 _let_122))) (let ((_let_124 (= _let_26 _let_111))) (let ((_let_125 (tptp.addition _let_30 _let_30))) (let ((_let_126 (= (tptp.addition _let_27 _let_125) (tptp.addition _let_56 _let_30)))) (let ((_let_127 (= (tptp.addition _let_72 _let_77) (tptp.addition (tptp.addition _let_72 _let_76) _let_75)))) (let ((_let_128 (= (tptp.addition _let_58 _let_105) (tptp.addition (tptp.addition _let_58 _let_26) _let_72)))) (let ((_let_129 (tptp.antidomain _let_24))) (let ((_let_130 (= (tptp.multiplication (tptp.addition _let_27 _let_129) _let_72) (tptp.addition _let_100 (tptp.multiplication _let_129 _let_72))))) (let ((_let_131 (tptp.multiplication _let_27 _let_30))) (let ((_let_132 (= (tptp.multiplication _let_102 _let_30) (tptp.addition _let_53 _let_131)))) (let ((_let_133 (= (tptp.multiplication _let_90 _let_30) (tptp.addition _let_53 _let_96)))) (let ((_let_134 (tptp.addition _let_27 _let_72))) (let ((_let_135 (= (tptp.multiplication _let_134 _let_30) (tptp.addition _let_131 _let_97)))) (let ((_let_136 (= _let_113 (tptp.addition _let_110 _let_112)))) (let ((_let_137 (= _let_94 (tptp.addition _let_92 _let_93)))) (let ((_let_138 (tptp.addition _let_96 _let_97))) (let ((_let_139 (= _let_98 _let_138))) (let ((_let_140 (tptp.multiplication _let_30 _let_72))) (let ((_let_141 (= (tptp.multiplication _let_140 tptp.one) (tptp.multiplication _let_30 _let_119)))) (let ((_let_142 (tptp.multiplication _let_72 _let_26))) (let ((_let_143 (tptp.multiplication _let_27 _let_142))) (let ((_let_144 (= _let_143 (tptp.multiplication _let_100 _let_26)))) (let ((_let_145 (= (tptp.multiplication tptp.one _let_140) (tptp.multiplication _let_83 _let_72)))) (let ((_let_146 (= (tptp.multiplication _let_26 _let_134) (tptp.addition _let_92 _let_73)))) (let ((_let_147 (= (tptp.multiplication _let_30 (tptp.addition _let_58 _let_72)) (tptp.addition (tptp.multiplication _let_30 _let_58) _let_140)))) (let ((_let_148 (tptp.addition _let_31 _let_140))) (let ((_let_149 (= (tptp.multiplication _let_30 _let_134) _let_148))) (let ((_let_150 (= (tptp.multiplication _let_72 _let_125) (tptp.addition _let_97 _let_97)))) (let ((_let_151 (= (tptp.multiplication _let_72 _let_102) (tptp.addition _let_117 _let_93)))) (let ((_let_152 (tptp.antidomain _let_97))) (let ((_let_153 (tptp.antidomain _let_142))) (let ((_let_154 (tptp.addition _let_153 _let_152))) (let ((_let_155 (= _let_152 _let_154))) (let ((_let_156 (tptp.coantidomain _let_119))) (let ((_let_157 (tptp.coantidomain _let_66))) (let ((_let_158 (tptp.addition _let_157 _let_156))) (let ((_let_159 (= _let_156 _let_158))) (let ((_let_160 (tptp.antidomain (tptp.multiplication _let_30 _let_22)))) (let ((_let_161 (= (tptp.multiplication (tptp.addition _let_160 _let_112) _let_30) (tptp.addition (tptp.multiplication _let_160 _let_30) (tptp.multiplication _let_112 _let_30))))) (let ((_let_162 (= (tptp.multiplication _let_56 _let_72) (tptp.addition _let_100 _let_140)))) (let ((_let_163 (= (tptp.multiplication _let_62 _let_27) (tptp.addition _let_92 (tptp.multiplication tptp.zero _let_27))))) (let ((_let_164 (= (tptp.multiplication _let_140 tptp.zero) (tptp.multiplication _let_30 _let_117)))) (let ((_let_165 (tptp.multiplication _let_140 _let_27))) (let ((_let_166 (= _let_165 (tptp.multiplication _let_30 _let_93)))) (let ((_let_167 (= (tptp.multiplication _let_26 _let_56) (tptp.addition _let_92 _let_96)))) (let ((_let_168 (= _let_96 _let_98))) (let ((_let_169 (tptp.multiplication _let_140 _let_30))) (let ((_let_170 (= (tptp.multiplication (tptp.addition _let_27 _let_140) _let_30) (tptp.addition _let_131 _let_169)))) (let ((_let_171 (= _let_148 (tptp.addition _let_140 _let_31)))) (let ((_let_172 (= _let_154 (tptp.addition _let_152 _let_153)))) (let ((_let_173 (= (tptp.addition _let_96 (tptp.addition _let_97 _let_140)) (tptp.addition _let_138 _let_140)))) (let ((_let_174 (= (tptp.multiplication tptp.one _let_142) (tptp.multiplication _let_122 _let_26)))) (let ((_let_175 (tptp.multiplication _let_152 _let_97))) (let ((_let_176 (= tptp.zero _let_175))) (let ((_let_177 (tptp.multiplication _let_119 _let_156))) (let ((_let_178 (= tptp.zero _let_177))) (let ((_let_179 (= (tptp.multiplication _let_60 _let_142) (tptp.addition (tptp.multiplication _let_59 _let_142) _let_143)))) (let ((_let_180 (= (tptp.multiplication _let_119 _let_158) (tptp.addition (tptp.multiplication _let_119 _let_157) _let_177)))) (let ((_let_181 (= (tptp.multiplication _let_140 _let_56) (tptp.addition _let_165 _let_169)))) (let ((_let_182 (= (tptp.multiplication _let_154 _let_97) (tptp.addition (tptp.multiplication _let_153 _let_97) _let_175)))) (let ((_let_183 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_184 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_185 (_let_183))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_185)) _let_184 :args (_let_21 false _let_183)))) (let ((_let_187 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_188 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_189 (_let_187))) (let ((_let_190 (_let_23 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args _let_190) :args _let_189)) _let_188 :args (_let_25 false _let_187)))) (let ((_let_192 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (_let_192))) (let ((_let_195 ((tptp.antidomain X0)))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_195)) :args _let_194)) _let_193 :args (_let_29 false _let_192)))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_195)) :args _let_194)) _let_193 :args (_let_32 false _let_192)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_195)) :args _let_194)) _let_193 :args (_let_33 false _let_192)))) (let ((_let_199 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_201 (_let_199))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_26 QUANTIFIERS_INST_E_MATCHING ((tptp.antidomain (tptp.antidomain X0))))) :args _let_201)) _let_200 :args (_let_35 false _let_199)))) (let ((_let_203 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args _let_205) :args (_let_203))) _let_204 :args (_let_36 false _let_203)))) (let ((_let_207 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args _let_205) :args _let_194)) _let_193 :args (_let_39 false _let_192)))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args _let_205) :args _let_201)) _let_200 :args (_let_41 false _let_199)))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_27 _let_140 _let_30 QUANTIFIERS_INST_E_MATCHING _let_257)) :args _let_255)) _let_256 :args (_let_170 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_332)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_333 _let_347 _let_350 _let_352 _let_356 _let_362 _let_365 _let_367 _let_371 _let_373 _let_376 _let_378 _let_381 _let_399 _let_340 _let_401 _let_403 _let_406 _let_408 _let_410 _let_412 _let_383 _let_386 _let_388 _let_389 _let_392 _let_397 _let_414 _let_419 _let_421 _let_423 _let_426 _let_431 _let_433 _let_436 _let_438 _let_440 _let_334 _let_335 _let_344) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS _let_364 (SYMM _let_441)) _let_339 :args _let_338) (SYMM _let_439) (CONG (TRANS _let_370 (TRANS _let_378 (CONG _let_355 (TRANS _let_383 (CONG (TRANS (SYMM _let_437) (CONG _let_435 _let_350 :args _let_359) (SYMM _let_434) (SYMM _let_432) (CONG _let_361 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:args _let_338)) :args _let_359) (SYMM _let_366) (CONG (SYMM _let_364) _let_361 :args _let_338))) _let_360 :args _let_359) (SYMM _let_358) (CONG _let_355 _let_354 :args _let_338) (SYMM _let_349)) (TRANS (SYMM _let_346) (CONG _let_343 _let_339 :args _let_338) (SYMM _let_337) (SYMM _let_334)) :args (=)) (FALSE_INTRO _let_333))) :args (_let_288 _let_121 _let_35 _let_57 _let_167 _let_63 _let_163 _let_89 _let_54 _let_32 _let_21 _let_74 _let_146 _let_87 _let_80 _let_101 _let_29 _let_107 _let_71 _let_116 _let_82 _let_123 _let_41 _let_49 _let_39 _let_52 _let_25 _let_130 _let_33 _let_50 _let_109 _let_126 _let_104 _let_61 _let_36 _let_133 _let_91 _let_282 _let_84 _let_99))) :args (_let_288 _let_282 _let_21 _let_25 _let_29 _let_32 _let_33 _let_35 _let_36 _let_39 _let_41 _let_49 _let_50 _let_52 _let_54 _let_57 _let_61 _let_63 _let_71 _let_74 _let_80 _let_82 _let_84 _let_87 _let_89 _let_91 _let_99 _let_101 _let_104 _let_107 _let_109 _let_116 _let_121 _let_123 _let_126 _let_130 _let_133 _let_146 _let_163 _let_167))) :args (true _let_332)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_288) _let_283))) (REFL :args (_let_331)) (REFL :args (_let_330)) (REFL :args (_let_329)) (REFL :args (_let_328)) (REFL :args (_let_327)) (REFL :args (_let_326)) (REFL :args (_let_325)) (REFL :args (_let_324)) (REFL :args (_let_323)) (REFL :args (_let_322)) (REFL :args (_let_321)) (REFL :args (_let_320)) (REFL :args (_let_319)) (REFL :args (_let_318)) (REFL :args (_let_317)) (REFL :args (_let_316)) (REFL :args (_let_315)) (REFL :args (_let_314)) (REFL :args (_let_313)) (REFL :args (_let_312)) (REFL :args (_let_311)) (REFL :args (_let_310)) (REFL :args (_let_309)) (REFL :args (_let_308)) (REFL :args (_let_307)) (REFL :args (_let_306)) (REFL :args (_let_305)) (REFL :args (_let_304)) (REFL :args (_let_303)) (REFL :args (_let_302)) (REFL :args (_let_301)) (REFL :args (_let_300)) (REFL :args (_let_299)) (REFL :args (_let_298)) (REFL :args (_let_297)) (REFL :args (_let_296)) (REFL :args (_let_295)) (REFL :args (_let_294)) (REFL :args (_let_293)) (REFL :args (_let_284)) :args _let_290)) :args ((or _let_283 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_284 _let_294 _let_293))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_289) :args (_let_292))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_287))) (REFL :args _let_291) :args _let_290)) _let_289 :args (_let_288 true _let_287)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_286 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args _let_285)) _let_286 :args (_let_282 false _let_5)) _let_186 _let_191 _let_196 _let_197 _let_198 _let_202 _let_206 _let_207 _let_208 _let_221 _let_222 _let_226 _let_230 _let_235 _let_238 _let_240 _let_242 _let_243 _let_247 _let_249 _let_251 _let_252 _let_253 _let_254 _let_258 _let_262 _let_263 _let_264 _let_269 _let_270 _let_273 _let_274 _let_275 _let_276 _let_277 _let_278 _let_279 _let_280 :args (_let_284 true _let_283 false _let_282 false _let_21 false _let_25 false _let_29 false _let_32 false _let_33 false _let_35 false _let_36 false _let_39 false _let_41 false _let_49 false _let_50 false _let_52 false _let_54 false _let_57 false _let_61 false _let_63 false _let_71 false _let_74 false _let_80 false _let_82 false _let_84 false _let_87 false _let_89 false _let_91 false _let_99 false _let_101 false _let_104 false _let_107 false _let_109 false _let_116 false _let_121 false _let_123 false _let_126 false _let_130 false _let_133 false _let_146 false _let_163 false _let_167)) _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_30 _let_72 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_227))) _let_228 :args (_let_166 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_30 _let_72 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_227))) _let_228 :args (_let_164 false _let_15)) _let_279 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_27 _let_30 _let_72 QUANTIFIERS_INST_CBQI_PROP)) :args _let_255)) _let_256 :args (_let_162 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_160 _let_112 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_255)) _let_256 :args (_let_161 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) :args _let_246)) _let_245 :args (_let_159 false _let_244)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (_let_72 _let_26 QUANTIFIERS_INST_E_MATCHING _let_268)) :args _let_267)) _let_266 :args (_let_155 false _let_265)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (_let_72 tptp.zero _let_27 QUANTIFIERS_INST_E_MATCHING _let_261)) :args _let_259)) _let_260 :args (_let_151 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (_let_72 _let_30 _let_30 QUANTIFIERS_INST_E_MATCHING _let_261)) :args _let_259)) _let_260 :args (_let_150 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (_let_30 _let_27 _let_72 QUANTIFIERS_INST_E_MATCHING _let_261)) :args _let_259)) _let_260 :args (_let_149 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args (_let_30 _let_58 _let_72 QUANTIFIERS_INST_E_MATCHING _let_261)) :args _let_259)) _let_260 :args (_let_147 false _let_12)) _let_278 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.one _let_30 _let_72 QUANTIFIERS_INST_E_MATCHING _let_231)) :args _let_227)) _let_228 :args (_let_145 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_27 _let_72 _let_26 QUANTIFIERS_INST_E_MATCHING _let_231)) :args _let_227)) _let_228 :args (_let_144 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_30 _let_72 tptp.one QUANTIFIERS_INST_E_MATCHING _let_229)) :args _let_227))) _let_228 :args (_let_141 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_97 _let_96 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_232)) _let_233 :args (_let_139 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_93 _let_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_232)) _let_233 :args (_let_137 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_112 _let_110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_232)) _let_233 :args (_let_136 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_27 _let_72 _let_30 QUANTIFIERS_INST_E_MATCHING _let_257)) :args _let_255)) _let_256 :args (_let_135 false _let_11)) _let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (tptp.zero _let_27 _let_30 QUANTIFIERS_INST_E_MATCHING _let_257)) :args _let_255)) _let_256 :args (_let_132 false _let_11)) _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (_let_72 _let_26 _let_58 QUANTIFIERS_INST_CBQI_PROP)) :args _let_236)) _let_237 :args (_let_128 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (_let_75 _let_76 _let_72 QUANTIFIERS_INST_CBQI_PROP)) :args _let_236)) _let_237 :args (_let_127 false _let_18)) _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_272) :args _let_225)) _let_224 :args (_let_124 false _let_223)) _let_274 _let_273 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args _let_271) :args _let_220)) _let_219 :args (_let_120 false _let_218)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args _let_271) :args _let_185)) _let_184 :args (_let_118 false _let_183)) _let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_30 QUANTIFIERS_INST_ENUM)) :args _let_194)) _let_193 :args (_let_115 false _let_192)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (tptp.one _let_26 QUANTIFIERS_INST_E_MATCHING _let_268)) :args _let_267)) _let_266 :args (_let_114 false _let_265)) _let_269 _let_264 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_72 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_232)) _let_233 :args (_let_106 false _let_19)) _let_263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_27 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_232)) _let_233 :args (_let_103 false _let_19)) _let_262 _let_258 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_72 _let_26 _let_27 QUANTIFIERS_INST_E_MATCHING _let_257)) :args _let_255)) _let_256 :args (_let_95 false _let_11)) _let_254 _let_253 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_27 _let_26 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_227)) _let_228 :args (_let_88 false _let_15)) _let_252 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args _let_250) :args _let_220)) _let_219 :args (_let_86 false _let_218)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_248) :args _let_225)) _let_224 :args (_let_85 false _let_223)) _let_251 _let_249 _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_245 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_246)) _let_245 :args (_let_78 false _let_244)) _let_243 _let_242 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args _let_239) :args _let_185)) _let_184 :args (_let_69 false _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args _let_241) :args _let_220)) _let_219 :args (_let_67 false _let_218)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_241) :args _let_225)) _let_224 :args (_let_65 false _let_223)) _let_240 _let_238 _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (_let_30 _let_27 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_231)) :args _let_227)) _let_228 :args (_let_55 false _let_15)) _let_230 _let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args (_let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_225)) _let_224 :args (_let_51 false _let_223)) _let_222 _let_221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_217)) _let_216 :args (_let_48 false _let_215)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args _let_205) :args _let_214)) _let_213 :args (_let_46 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args _let_205) :args _let_211)) _let_210 :args (_let_44 false _let_209)) _let_208 _let_207 _let_206 _let_202 _let_198 _let_197 _let_196 _let_191 _let_186 :args (false false _let_182 false _let_181 false _let_180 false _let_179 false _let_178 false _let_176 false _let_174 false _let_173 false _let_172 false _let_171 false _let_170 true _let_168 false _let_167 false _let_166 false _let_164 false _let_163 false _let_162 false _let_161 false _let_159 false _let_155 false _let_151 false _let_150 false _let_149 false _let_147 false _let_146 false _let_145 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_135 false _let_133 false _let_132 false _let_130 false _let_128 false _let_127 false _let_126 false _let_124 false _let_123 false _let_121 false _let_120 false _let_118 false _let_116 false _let_115 false _let_114 false _let_109 false _let_107 false _let_106 false _let_104 false _let_103 false _let_101 false _let_99 false _let_95 false _let_91 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_82 false _let_80 false _let_78 false _let_74 false _let_71 false _let_69 false _let_67 false _let_65 false _let_63 false _let_61 false _let_57 false _let_55 false _let_54 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_46 false _let_44 false _let_41 false _let_39 false _let_36 false _let_35 false _let_33 false _let_32 false _let_29 false _let_25 false _let_21)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 52.49/52.68 )
% 52.49/52.68 % SZS output end Proof for KLE092+1
% 52.49/52.68 % cvc5---1.0.5 exiting
% 52.49/52.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------