TSTP Solution File: KLE132+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 05:27:21 EDT 2023
% Result : Theorem 54.99s 55.22s
% Output : Proof 54.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n013.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 11:53:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 54.99/55.22 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lzIsw442vA/cvc5---1.0.5_29183.p...
% 54.99/55.22 ------- get file name : TPTP file name is KLE132+1
% 54.99/55.22 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29183.smt2...
% 54.99/55.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 54.99/55.22 --- Run --no-e-matching --full-saturate-quant at 5...
% 54.99/55.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 54.99/55.22 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 54.99/55.22 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 54.99/55.22 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 54.99/55.22 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 54.99/55.22 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 54.99/55.22 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 54.99/55.22 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.99/55.22 % SZS status Theorem for KLE132+1
% 54.99/55.22 % SZS output start Proof for KLE132+1
% 54.99/55.22 (
% 54.99/55.22 (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (let ((_let_3 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 _let_2)))) (= (tptp.addition _let_2 _let_3) _let_3))))) (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (=> (= (tptp.addition _let_1 _let_2) _let_2) (= _let_1 tptp.zero)))))))))) (let ((_let_2 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= (tptp.forward_diamond X0 _let_1) _let_1))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_8 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_9 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_10 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_11 (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_12 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_18 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_20 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_21 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_22 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_24 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_26 (tptp.addition _let_24 _let_25))) (let ((_let_27 (= _let_25 _let_26))) (let ((_let_28 (= tptp.zero _let_24))) (let ((_let_29 (tptp.addition _let_25 _let_24))) (let ((_let_30 (= _let_26 _let_29))) (let ((_let_31 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.antidomain _let_31))) (let ((_let_33 (= _let_24 _let_32))) (let ((_let_34 (tptp.domain _let_24))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34))) (let ((_let_36 (tptp.domain _let_35))) (let ((_let_37 (= _let_25 _let_36))) (let ((_let_38 (tptp.domain_difference _let_24 _let_25))) (let ((_let_39 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (tptp.forward_diamond _let_39 _let_38))) (let ((_let_41 (tptp.addition _let_25 _let_40))) (let ((_let_42 (= _let_40 _let_41))) (let ((_let_43 (= tptp.zero (tptp.addition tptp.zero tptp.zero)))) (let ((_let_44 (tptp.multiplication tptp.zero tptp.zero))) (let ((_let_45 (= tptp.zero _let_44))) (let ((_let_46 (tptp.domain tptp.zero))) (let ((_let_47 (tptp.antidomain tptp.zero))) (let ((_let_48 (tptp.antidomain _let_47))) (let ((_let_49 (= _let_48 _let_46))) (let ((_let_50 (= (tptp.domain_difference tptp.zero tptp.zero) (tptp.multiplication _let_46 _let_47)))) (let ((_let_51 (tptp.divergence tptp.zero))) (let ((_let_52 (tptp.forward_diamond tptp.zero _let_51))) (let ((_let_53 (= _let_51 _let_52))) (let ((_let_54 (tptp.addition _let_24 _let_24))) (let ((_let_55 (= _let_24 _let_54))) (let ((_let_56 (= tptp.zero (tptp.multiplication _let_48 _let_47)))) (let ((_let_57 (tptp.antidomain _let_24))) (let ((_let_58 (tptp.multiplication _let_57 _let_24))) (let ((_let_59 (= tptp.zero _let_58))) (let ((_let_60 (tptp.star tptp.zero))) (let ((_let_61 (tptp.forward_diamond _let_60 _let_46))) (let ((_let_62 (tptp.addition _let_51 _let_61))) (let ((_let_63 (= _let_62 (tptp.addition _let_61 _let_51)))) (let ((_let_64 (tptp.antidomain _let_32))) (let ((_let_65 (tptp.addition _let_64 _let_32))) (let ((_let_66 (= tptp.one _let_65))) (let ((_let_67 (tptp.antidomain _let_57))) (let ((_let_68 (= _let_34 _let_67))) (let ((_let_69 (tptp.antidomain _let_35))) (let ((_let_70 (tptp.antidomain _let_69))) (let ((_let_71 (= _let_36 _let_70))) (let ((_let_72 (= _let_64 (tptp.domain _let_31)))) (let ((_let_73 (= _let_38 (tptp.multiplication _let_34 (tptp.antidomain _let_25))))) (let ((_let_74 (tptp.domain _let_46))) (let ((_let_75 (= (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46) (tptp.domain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_74))))) (let ((_let_76 (tptp.multiplication tptp.zero _let_74))) (let ((_let_77 (tptp.forward_diamond tptp.zero _let_46))) (let ((_let_78 (= _let_77 (tptp.domain _let_76)))) (let ((_let_79 (tptp.domain _let_51))) (let ((_let_80 (tptp.multiplication tptp.zero _let_79))) (let ((_let_81 (= _let_52 (tptp.domain _let_80)))) (let ((_let_82 (= _let_61 (tptp.domain (tptp.multiplication _let_60 _let_74))))) (let ((_let_83 (tptp.antidomain tptp.one))) (let ((_let_84 (tptp.multiplication _let_83 tptp.one))) (let ((_let_85 (= tptp.zero _let_84))) (let ((_let_86 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_87 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_88 (tptp.antidomain _let_83))) (let ((_let_89 (= tptp.one (tptp.addition _let_88 _let_83)))) (let ((_let_90 (tptp.domain tptp.one))) (let ((_let_91 (= _let_88 _let_90))) (let ((_let_92 (tptp.coantidomain tptp.one))) (let ((_let_93 (tptp.multiplication tptp.one _let_92))) (let ((_let_94 (= tptp.zero _let_93))) (let ((_let_95 (tptp.coantidomain _let_92))) (let ((_let_96 (= tptp.one (tptp.addition _let_95 _let_92)))) (let ((_let_97 (= _let_95 (tptp.codomain tptp.one)))) (let ((_let_98 (= tptp.zero _let_76))) (let ((_let_99 (= tptp.zero _let_80))) (let ((_let_100 (tptp.coantidomain tptp.zero))) (let ((_let_101 (= _let_100 (tptp.addition _let_100 tptp.zero)))) (let ((_let_102 (= (tptp.addition _let_24 _let_41) (tptp.addition _let_26 _let_40)))) (let ((_let_103 (= _let_83 _let_84))) (let ((_let_104 (= _let_92 _let_93))) (let ((_let_105 (= _let_90 (tptp.multiplication tptp.one _let_90)))) (let ((_let_106 (= _let_88 (tptp.addition _let_88 tptp.zero)))) (let ((_let_107 (= _let_61 (tptp.addition _let_61 tptp.zero)))) (let ((_let_108 (= tptp.zero (tptp.multiplication _let_39 tptp.zero)))) (let ((_let_109 (= tptp.zero (tptp.multiplication _let_60 tptp.zero)))) (let ((_let_110 (= (tptp.addition _let_64 _let_54) (tptp.addition (tptp.addition _let_64 _let_24) _let_24)))) (let ((_let_111 (= tptp.zero (tptp.multiplication _let_67 _let_57)))) (let ((_let_112 (= tptp.zero (tptp.multiplication _let_70 _let_69)))) (let ((_let_113 (tptp.addition _let_32 _let_64))) (let ((_let_114 (= _let_65 _let_113))) (let ((_let_115 (tptp.antidomain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_67)))) (let ((_let_116 (tptp.antidomain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24)))) (let ((_let_117 (tptp.addition _let_116 _let_115))) (let ((_let_118 (= _let_115 _let_117))) (let ((_let_119 (tptp.antidomain (tptp.multiplication _let_34 (tptp.antidomain _let_70))))) (let ((_let_120 (tptp.antidomain (tptp.multiplication _let_34 _let_69)))) (let ((_let_121 (tptp.addition _let_120 _let_119))) (let ((_let_122 (= _let_119 _let_121))) (let ((_let_123 (tptp.addition _let_67 _let_57))) (let ((_let_124 (= tptp.one _let_123))) (let ((_let_125 (tptp.antidomain _let_38))) (let ((_let_126 (tptp.antidomain _let_125))) (let ((_let_127 (tptp.domain _let_38))) (let ((_let_128 (= _let_127 _let_126))) (let ((_let_129 (tptp.domain _let_57))) (let ((_let_130 (= (tptp.antidomain _let_67) _let_129))) (let ((_let_131 (tptp.antidomain _let_44))) (let ((_let_132 (= (tptp.addition _let_131 _let_113) (tptp.addition (tptp.addition _let_131 _let_32) _let_64)))) (let ((_let_133 (tptp.addition _let_32 tptp.zero))) (let ((_let_134 (= _let_32 _let_133))) (let ((_let_135 (= _let_32 (tptp.multiplication tptp.one _let_32)))) (let ((_let_136 (= _let_32 (tptp.multiplication _let_32 tptp.one)))) (let ((_let_137 (tptp.multiplication tptp.zero _let_32))) (let ((_let_138 (= tptp.zero _let_137))) (let ((_let_139 (tptp.multiplication _let_24 _let_69))) (let ((_let_140 (tptp.multiplication _let_25 _let_69))) (let ((_let_141 (tptp.addition _let_140 _let_139))) (let ((_let_142 (= (tptp.multiplication _let_29 _let_69) _let_141))) (let ((_let_143 (tptp.multiplication _let_32 _let_64))) (let ((_let_144 (tptp.multiplication _let_32 _let_131))) (let ((_let_145 (tptp.addition _let_144 _let_143))) (let ((_let_146 (= (tptp.multiplication _let_32 (tptp.addition _let_131 _let_64)) _let_145))) (let ((_let_147 (= _let_133 (tptp.addition tptp.zero _let_32)))) (let ((_let_148 (tptp.addition _let_57 _let_67))) (let ((_let_149 (= _let_123 _let_148))) (let ((_let_150 (= _let_117 (tptp.addition _let_115 _let_116)))) (let ((_let_151 (tptp.addition _let_119 _let_120))) (let ((_let_152 (= _let_121 _let_151))) (let ((_let_153 (= tptp.zero (tptp.multiplication _let_126 _let_125)))) (let ((_let_154 (tptp.domain _let_34))) (let ((_let_155 (= _let_154 (tptp.antidomain (tptp.antidomain _let_34))))) (let ((_let_156 (= (tptp.c _let_57) (tptp.antidomain _let_129)))) (let ((_let_157 (tptp.addition _let_61 _let_127))) (let ((_let_158 (= (tptp.addition _let_46 _let_157) (tptp.addition (tptp.addition _let_46 _let_61) _let_127)))) (let ((_let_159 (= (tptp.multiplication _let_34 _let_58) (tptp.multiplication (tptp.multiplication _let_34 _let_57) _let_24)))) (let ((_let_160 (= _let_34 (tptp.multiplication _let_34 tptp.one)))) (let ((_let_161 (= _let_127 (tptp.multiplication _let_127 tptp.one)))) (let ((_let_162 (tptp.addition _let_67 tptp.zero))) (let ((_let_163 (= _let_67 _let_162))) (let ((_let_164 (= (tptp.multiplication _let_126 _let_151) (tptp.addition (tptp.multiplication _let_126 _let_119) (tptp.multiplication _let_126 _let_120))))) (let ((_let_165 (= (tptp.multiplication _let_34 (tptp.addition _let_77 _let_24)) (tptp.addition (tptp.multiplication _let_34 _let_77) (tptp.multiplication _let_34 _let_24))))) (let ((_let_166 (tptp.multiplication _let_67 _let_32))) (let ((_let_167 (= (tptp.multiplication _let_162 _let_32) (tptp.addition _let_166 _let_137)))) (let ((_let_168 (tptp.domain_difference _let_154 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_154)))) (let ((_let_169 (= (tptp.forward_diamond _let_39 _let_168) (tptp.domain (tptp.multiplication _let_39 (tptp.domain _let_168)))))) (let ((_let_170 (= _let_145 (tptp.addition _let_143 _let_144)))) (let ((_let_171 (= _let_157 (tptp.addition _let_127 _let_61)))) (let ((_let_172 (= _let_141 (tptp.addition _let_139 _let_140)))) (let ((_let_173 (= _let_139 (tptp.addition _let_139 tptp.zero)))) (let ((_let_174 (= _let_127 (tptp.addition _let_127 tptp.zero)))) (let ((_let_175 (= (tptp.multiplication _let_34 _let_113) (tptp.addition (tptp.multiplication _let_34 _let_32) (tptp.multiplication _let_34 _let_64))))) (let ((_let_176 (= (tptp.multiplication _let_148 _let_32) (tptp.addition (tptp.multiplication _let_57 _let_32) _let_166)))) (let ((_let_177 (not _let_27))) (let ((_let_178 (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))) (let ((_let_3 (tptp.forward_diamond (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.domain_difference _let_1 _let_2)))) (= _let_3 (tptp.addition _let_2 _let_3)))))))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_177 _let_28))) (let ((_let_181 (forall ((X0 $$unsorted) (BOUND_VARIABLE_909 $$unsorted)) (let ((_let_1 (tptp.domain BOUND_VARIABLE_909))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (or (not (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond X0 _let_1))) (let ((_let_3 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 _let_2)))) (= _let_3 (tptp.addition _let_2 _let_3))))))) (not (= _let_2 (tptp.addition _let_1 _let_2))) (= tptp.zero _let_1))))))) (let ((_let_182 (not _let_180))) (let ((_let_183 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_184 (or))) (let ((_let_185 (not _let_181))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_183) :args (_let_185))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_185) _let_181))) (REFL :args (_let_182)) :args _let_184)) _let_183 :args (_let_182 true _let_181)))) (let ((_let_187 (REFL :args (_let_180)))) (let ((_let_188 (not _let_28))) (let ((_let_189 (_let_23))) (let ((_let_190 (ASSUME :args _let_189))) (let ((_let_191 ((tptp.addition A B)))) (let ((_let_192 (_let_9))) (let ((_let_193 (ASSUME :args _let_192))) (let ((_let_194 ((tptp.domain X0)))) (let ((_let_195 (_let_3))) (let ((_let_196 (ASSUME :args _let_195))) (let ((_let_197 ((tptp.forward_diamond X0 X1)))) (let ((_let_198 (_let_178))) (let ((_let_199 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_200 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_201 (_let_199))) (let ((_let_202 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_203 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (_let_203))) (let ((_let_206 (_let_4))) (let ((_let_207 (ASSUME :args _let_206))) (let ((_let_208 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= _let_1 (tptp.forward_diamond X0 _let_1)))))) (let ((_let_209 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_210 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_211 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_212 (_let_210))) (let ((_let_213 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (_let_213))) (let ((_let_216 ((tptp.antidomain X0)))) (let ((_let_217 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_218 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT 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_let_235 :args (_let_136 false _let_234)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args _let_244) :args _let_239)) _let_238 :args (_let_135 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args _let_244) :args _let_201)) _let_200 :args (_let_134 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_64 _let_32 _let_131 QUANTIFIERS_INST_CBQI_PROP)) :args _let_232)) _let_233 :args (_let_132 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_57 QUANTIFIERS_INST_E_MATCHING _let_221)) :args _let_192))) _let_193 :args (_let_130 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_194)) :args _let_192)) _let_193 :args (_let_128 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (_let_24 QUANTIFIERS_INST_E_MATCHING _let_220)) :args _let_219)) _let_218 :args (_let_124 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_241 :args (_let_34 _let_69 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_242)) _let_241 :args (_let_122 false _let_240)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_241 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 QUANTIFIERS_INST_E_MATCHING _let_243)) :args _let_242)) _let_241 :args (_let_118 false _let_240)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_64 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_191)) :args _let_189)) _let_190 :args (_let_114 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_112 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_111 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_24 _let_24 _let_64 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_232)) _let_233 :args (_let_110 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (_let_60 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_109 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (_let_39 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_108 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_61 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_201)) _let_200 :args (_let_107 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_88 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_201)) _let_200 :args (_let_106 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_90 QUANTIFIERS_INST_CBQI_PROP)) :args _let_239)) _let_238 :args (_let_105 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_92 QUANTIFIERS_INST_CBQI_PROP)) :args _let_239)) _let_238 :args (_let_104 false _let_237)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (_let_83 QUANTIFIERS_INST_CBQI_PROP)) :args _let_236)) _let_235 :args (_let_103 false _let_234)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_40 _let_25 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_232)) _let_233 :args (_let_102 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args (_let_100 QUANTIFIERS_INST_CBQI_PROP)) :args _let_201)) _let_200 :args (_let_101 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_230 :args (_let_79 QUANTIFIERS_INST_CBQI_PROP)) :args _let_231)) _let_230 :args (_let_99 false _let_229)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_230 :args (_let_74 QUANTIFIERS_INST_CBQI_PROP)) :args _let_231)) _let_230 :args (_let_98 false _let_229)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_228 :args _let_222) :args _let_227))) _let_228 :args (_let_97 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args _let_222) :args (_let_225))) _let_226 :args (_let_96 false _let_225)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args _let_222) :args (_let_223))) _let_224 :args (_let_94 false _let_223)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_193 :args _let_222) :args _let_192))) _let_193 :args (_let_91 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args _let_222) :args _let_219)) _let_218 :args (_let_89 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_211 :args _let_222) :args _let_212)) _let_211 :args (_let_87 false _let_210)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_205)) _let_204 :args (_let_86 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args _let_222) :args _let_215)) _let_214 :args (_let_85 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (_let_60 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_195)) _let_196 :args (_let_82 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (tptp.zero _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_195)) _let_196 :args (_let_81 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (tptp.zero _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_195)) _let_196 :args (_let_78 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_195)) _let_196 :args (_let_75 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_24 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain_difference X0 X1)))) :args _let_206)) _let_207 :args (_let_73 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_31 QUANTIFIERS_INST_E_MATCHING _let_221)) :args _let_192))) _let_193 :args (_let_72 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_194)) :args _let_192)) _let_193 :args (_let_71 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_194)) :args _let_192)) _let_193 :args (_let_68 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_218 :args (_let_31 QUANTIFIERS_INST_E_MATCHING _let_220)) :args _let_219)) _let_218 :args (_let_66 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_51 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_191)) :args _let_189)) _let_190 :args (_let_63 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_214 :args (_let_59 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_47 QUANTIFIERS_INST_CBQI_PROP)) :args _let_215)) _let_214 :args (_let_56 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_211 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_212)) _let_211 :args (_let_55 false _let_210)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args _let_202) :args (_let_208))) _let_209 :args (_let_53 false _let_208)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (tptp.zero tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_206)) _let_207 :args (_let_50 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_193 :args _let_202) :args _let_192))) _let_193 :args (_let_49 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args _let_202) :args _let_205)) _let_204 :args (_let_45 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_200 :args _let_202) :args _let_201)) _let_200 :args (_let_43 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_198) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X1)))) :args _let_198)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_180 0)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_178))) :args _let_184)) :args ((or _let_178 _let_180))) _let_186 :args (_let_178 true _let_180)) :args (_let_42 false _let_178)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_195)) _let_196 :args (_let_37 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_194)) :args _let_192)) _let_193 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_24 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_191)) :args _let_189)) _let_190 :args (_let_30 false _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_180 2)) _let_186 :args (_let_188 true _let_180)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_180 1)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_177) _let_27))) :args _let_184)) :args ((or _let_27 _let_180))) _let_186 :args (_let_27 true _let_180)) :args (false false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_171 false _let_170 false _let_169 false _let_167 false _let_165 false _let_164 false _let_163 false _let_161 false _let_160 false _let_159 false _let_158 false _let_156 false _let_155 false _let_153 false _let_152 false _let_150 false _let_149 false _let_147 false _let_146 false _let_142 false _let_138 false _let_136 false _let_135 false _let_134 false _let_132 false _let_130 false _let_128 false _let_124 false _let_122 false _let_118 false _let_114 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_102 false _let_101 false _let_99 false _let_98 false _let_97 false _let_96 false _let_94 false _let_91 false _let_89 false _let_87 false _let_86 false _let_85 false _let_82 false _let_81 false _let_78 false _let_75 false _let_73 false _let_72 false _let_71 false _let_68 false _let_66 false _let_63 false _let_59 false _let_56 false _let_55 false _let_53 false _let_50 false _let_49 false _let_45 false _let_43 false _let_42 false _let_37 false _let_33 false _let_30 true _let_28 false _let_27)) :args (_let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_diamond X0 X1) (tptp.codomain (tptp.multiplication (tptp.codomain X1) X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_box X0 X1) (tptp.c (tptp.forward_diamond X0 (tptp.c X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.backward_box X0 X1) (tptp.c (tptp.backward_diamond X0 (tptp.c X1))))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.addition (tptp.divergence X1) (tptp.forward_diamond (tptp.star X1) _let_1)))) (let ((_let_3 (tptp.domain X0))) (let ((_let_4 (tptp.addition (tptp.forward_diamond X1 _let_3) _let_1))) (=> (= (tptp.addition _let_3 _let_4) _let_4) (= (tptp.addition _let_3 _let_2) _let_2))))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.99/55.23 )
% 54.99/55.23 % SZS output end Proof for KLE132+1
% 54.99/55.23 % cvc5---1.0.5 exiting
% 54.99/55.23 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------