%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE098+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 05:27:15 EDT 2023

% Result   : Theorem 39.13s 39.39s
% Output   : Proof 39.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KLE098+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 12:28:08 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 39.13/39.39  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ubl2o2kDDQ/cvc5---1.0.5_2554.p...
% 39.13/39.39  ------- get file name : TPTP file name is KLE098+1
% 39.13/39.39  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2554.smt2...
% 39.13/39.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 39.13/39.39  --- Run --no-e-matching --full-saturate-quant at 5...
% 39.13/39.39  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 39.13/39.39  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 39.13/39.39  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 39.13/39.39  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 39.13/39.39  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 39.13/39.39  % SZS status Theorem for KLE098+1
% 39.13/39.39  % SZS output start Proof for KLE098+1
% 39.13/39.39  (
% 39.13/39.39  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.multiplication _let_1 X0))) (let ((_let_3 (tptp.domain X1))) (=> (= (tptp.addition (tptp.forward_diamond X0 _let_3) _let_1) _let_1) (= (tptp.addition (tptp.multiplication X0 _let_3) _let_2) _let_2))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.forward_diamond X0 X1) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_20 (tptp.addition _let_19 _let_17))) (let ((_let_21 (= _let_17 _let_20))) (let ((_let_22 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_24 (tptp.addition _let_23 _let_22))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (= _let_24 (tptp.addition _let_22 _let_23)))) (let ((_let_27 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.addition _let_27 _let_22))) (let ((_let_29 (= (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_28))) (let ((_let_30 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (tptp.antidomain _let_30))) (let ((_let_32 (= _let_18 _let_31))) (let ((_let_33 (tptp.domain _let_18))) (let ((_let_34 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_33))) (let ((_let_35 (tptp.domain _let_34))) (let ((_let_36 (= _let_19 _let_35))) (let ((_let_37 (= _let_19 (tptp.addition _let_19 _let_19)))) (let ((_let_38 (= (tptp.addition _let_23 _let_28) (tptp.addition (tptp.addition _let_23 _let_27) _let_22)))) (let ((_let_39 (tptp.antidomain _let_18))) (let ((_let_40 (tptp.multiplication _let_39 _let_18))) (let ((_let_41 (= tptp.zero _let_40))) (let ((_let_42 (tptp.multiplication _let_31 _let_30))) (let ((_let_43 (= tptp.zero _let_42))) (let ((_let_44 (tptp.addition _let_31 _let_30))) (let ((_let_45 (= tptp.one _let_44))) (let ((_let_46 (tptp.antidomain _let_31))) (let ((_let_47 (tptp.addition _let_46 _let_31))) (let ((_let_48 (= tptp.one _let_47))) (let ((_let_49 (tptp.antidomain _let_39))) (let ((_let_50 (= _let_33 _let_49))) (let ((_let_51 (tptp.antidomain _let_34))) (let ((_let_52 (tptp.antidomain _let_51))) (let ((_let_53 (= _let_35 _let_52))) (let ((_let_54 (= _let_46 (tptp.domain _let_30)))) (let ((_let_55 (tptp.addition _let_31 _let_46))) (let ((_let_56 (= _let_47 _let_55))) (let ((_let_57 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31))) (let ((_let_58 (tptp.antidomain _let_57))) (let ((_let_59 (= tptp.zero (tptp.multiplication _let_58 _let_57)))) (let ((_let_60 (tptp.multiplication _let_49 _let_39))) (let ((_let_61 (= tptp.zero _let_60))) (let ((_let_62 (tptp.antidomain _let_33))) (let ((_let_63 (tptp.multiplication _let_62 _let_33))) (let ((_let_64 (= tptp.zero _let_63))) (let ((_let_65 (tptp.multiplication _let_51 _let_34))) (let ((_let_66 (= tptp.zero _let_65))) (let ((_let_67 (tptp.multiplication _let_18 _let_31))) (let ((_let_68 (tptp.antidomain _let_67))) (let ((_let_69 (tptp.antidomain (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_70 (tptp.addition _let_69 _let_68))) (let ((_let_71 (= _let_68 _let_70))) (let ((_let_72 (tptp.addition _let_49 _let_39))) (let ((_let_73 (= tptp.one _let_72))) (let ((_let_74 (tptp.addition _let_52 _let_51))) (let ((_let_75 (= tptp.one _let_74))) (let ((_let_76 (tptp.antidomain _let_49))) (let ((_let_77 (tptp.addition _let_76 _let_49))) (let ((_let_78 (= tptp.one _let_77))) (let ((_let_79 (= _let_76 (tptp.domain _let_39)))) (let ((_let_80 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_80))) (let ((_let_82 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_82))) (let ((_let_84 (= _let_34 (tptp.multiplication tptp.one _let_34)))) (let ((_let_85 (tptp.multiplication _let_31 tptp.one))) (let ((_let_86 (= _let_31 _let_85))) (let ((_let_87 (= _let_33 (tptp.multiplication _let_33 tptp.one)))) (let ((_let_88 (= tptp.zero (tptp.multiplication _let_39 tptp.zero)))) (let ((_let_89 (tptp.multiplication _let_18 tptp.zero))) (let ((_let_90 (= tptp.zero _let_89))) (let ((_let_91 (tptp.multiplication tptp.one _let_30))) (let ((_let_92 (= _let_30 _let_91))) (let ((_let_93 (tptp.multiplication _let_52 _let_34))) (let ((_let_94 (= (tptp.multiplication _let_74 _let_34) (tptp.addition _let_93 _let_65)))) (let ((_let_95 (= _let_93 (tptp.addition _let_93 tptp.zero)))) (let ((_let_96 (= (tptp.multiplication _let_39 _let_42) (tptp.multiplication (tptp.multiplication _let_39 _let_31) _let_30)))) (let ((_let_97 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85) (tptp.multiplication _let_57 tptp.one)))) (let ((_let_98 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_62))) (let ((_let_99 (= (tptp.multiplication _let_98 _let_33) (tptp.addition _let_34 _let_63)))) (let ((_let_100 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39))) (let ((_let_101 (= (tptp.multiplication _let_100 _let_18) (tptp.addition _let_23 _let_40)))) (let ((_let_102 (tptp.addition _let_39 _let_49))) (let ((_let_103 (= _let_72 _let_102))) (let ((_let_104 (tptp.addition _let_49 _let_76))) (let ((_let_105 (= _let_77 _let_104))) (let ((_let_106 (= _let_70 (tptp.addition _let_68 _let_69)))) (let ((_let_107 (= tptp.zero (tptp.multiplication _let_68 _let_67)))) (let ((_let_108 (tptp.multiplication _let_18 _let_18))) (let ((_let_109 (= (tptp.domain _let_108) (tptp.antidomain (tptp.antidomain _let_108))))) (let ((_let_110 (= _let_39 (tptp.multiplication tptp.one _let_39)))) (let ((_let_111 (tptp.multiplication tptp.one _let_33))) (let ((_let_112 (= _let_33 _let_111))) (let ((_let_113 (tptp.multiplication tptp.one _let_31))) (let ((_let_114 (= _let_31 _let_113))) (let ((_let_115 (tptp.addition _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_116 (= _let_100 _let_115))) (let ((_let_117 (tptp.addition _let_33 _let_18))) (let ((_let_118 (= (tptp.addition _let_18 _let_33) _let_117))) (let ((_let_119 (= _let_23 (tptp.addition _let_23 tptp.zero)))) (let ((_let_120 (tptp.multiplication _let_98 tptp.one))) (let ((_let_121 (= (tptp.multiplication _let_98 _let_111) (tptp.multiplication _let_120 _let_33)))) (let ((_let_122 (tptp.multiplication _let_31 _let_31))) (let ((_let_123 (= (tptp.multiplication tptp.one _let_122) (tptp.multiplication _let_113 _let_31)))) (let ((_let_124 (= (tptp.addition _let_33 (tptp.addition _let_18 _let_39)) (tptp.addition _let_117 _let_39)))) (let ((_let_125 (tptp.addition _let_18 _let_76))) (let ((_let_126 (= (tptp.addition _let_33 _let_125) (tptp.addition _let_117 _let_76)))) (let ((_let_127 (tptp.antidomain _let_113))) (let ((_let_128 (tptp.antidomain _let_82))) (let ((_let_129 (tptp.addition _let_128 _let_127))) (let ((_let_130 (= _let_127 _let_129))) (let ((_let_131 (tptp.antidomain (tptp.multiplication tptp.one _let_49)))) (let ((_let_132 (tptp.antidomain (tptp.multiplication tptp.one _let_18)))) (let ((_let_133 (tptp.addition _let_132 _let_131))) (let ((_let_134 (= _let_131 _let_133))) (let ((_let_135 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition _let_18 tptp.one)) (tptp.addition _let_23 _let_80)))) (let ((_let_136 (tptp.antidomain _let_68))) (let ((_let_137 (tptp.addition _let_136 _let_68))) (let ((_let_138 (= tptp.one _let_137))) (let ((_let_139 (tptp.addition _let_33 tptp.zero))) (let ((_let_140 (= _let_33 _let_139))) (let ((_let_141 (tptp.addition _let_18 tptp.zero))) (let ((_let_142 (= _let_18 _let_141))) (let ((_let_143 (tptp.addition _let_34 _let_22))) (let ((_let_144 (= _let_143 (tptp.addition _let_22 _let_34)))) (let ((_let_145 (= _let_62 (tptp.multiplication _let_62 tptp.one)))) (let ((_let_146 (= _let_98 _let_120))) (let ((_let_147 (= (tptp.multiplication _let_98 _let_18) (tptp.addition _let_23 (tptp.multiplication _let_62 _let_18))))) (let ((_let_148 (= (tptp.multiplication _let_35 (tptp.addition _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.addition (tptp.multiplication _let_35 _let_34) (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_149 (= _let_125 (tptp.addition _let_76 _let_18)))) (let ((_let_150 (tptp.addition _let_127 _let_128))) (let ((_let_151 (= _let_129 _let_150))) (let ((_let_152 (= _let_133 (tptp.addition _let_131 _let_132)))) (let ((_let_153 (tptp.addition tptp.zero _let_33))) (let ((_let_154 (= _let_139 _let_153))) (let ((_let_155 (= (tptp.multiplication _let_22 tptp.one) (tptp.multiplication _let_17 _let_80)))) (let ((_let_156 (= (tptp.multiplication _let_55 _let_31) (tptp.addition _let_122 (tptp.multiplication _let_46 _let_31))))) (let ((_let_157 (= (tptp.addition _let_18 _let_104) (tptp.addition (tptp.addition _let_18 _let_49) _let_76)))) (let ((_let_158 (= (tptp.multiplication _let_104 _let_39) (tptp.addition _let_60 (tptp.multiplication _let_76 _let_39))))) (let ((_let_159 (= (tptp.addition _let_62 _let_47) (tptp.addition (tptp.addition _let_62 _let_46) _let_31)))) (let ((_let_160 (= (tptp.addition _let_62 _let_102) (tptp.addition (tptp.addition _let_62 _let_39) _let_49)))) (let ((_let_161 (= (tptp.multiplication _let_49 _let_150) (tptp.addition (tptp.multiplication _let_49 _let_127) (tptp.multiplication _let_49 _let_128))))) (let ((_let_162 (= (tptp.multiplication _let_62 _let_72) (tptp.addition (tptp.multiplication _let_62 _let_49) (tptp.multiplication _let_62 _let_39))))) (let ((_let_163 (= (tptp.multiplication _let_18 _let_141) (tptp.addition _let_108 _let_89)))) (let ((_let_164 (= (tptp.multiplication _let_137 _let_122) (tptp.addition (tptp.multiplication _let_136 _let_122) (tptp.multiplication _let_68 _let_122))))) (let ((_let_165 (tptp.multiplication _let_33 _let_30))) (let ((_let_166 (= (tptp.multiplication _let_153 _let_30) (tptp.addition (tptp.multiplication tptp.zero _let_30) _let_165)))) (let ((_let_167 (tptp.antidomain (tptp.multiplication tptp.one _let_46)))) (let ((_let_168 (= _let_167 (tptp.addition (tptp.antidomain _let_91) _let_167)))) (let ((_let_169 (= (tptp.multiplication _let_33 _let_44) (tptp.addition (tptp.multiplication _let_33 _let_31) _let_165)))) (let ((_let_170 (not _let_21))) (let ((_let_171 (or _let_170 _let_25))) (let ((_let_172 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X2))) (let ((_let_2 (tptp.multiplication _let_1 X0))) (let ((_let_3 (tptp.domain X1))) (or (not (= _let_1 (tptp.addition (tptp.forward_diamond X0 _let_3) _let_1))) (= _let_2 (tptp.addition (tptp.multiplication X0 _let_3) _let_2))))))))) (let ((_let_173 (not _let_171))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (or))) (let ((_let_176 (not _let_172))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_174) :args (_let_176))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_176) _let_172))) (REFL :args (_let_173)) :args _let_175)) _let_174 :args (_let_173 true _let_172)))) (let ((_let_178 (not _let_25))) (let ((_let_179 (_let_16))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 ((tptp.addition A B)))) (let ((_let_182 (_let_8))) (let ((_let_183 (ASSUME :args _let_182))) (let ((_let_184 (_let_3))) (let ((_let_185 (ASSUME :args _let_184))) (let ((_let_186 ((tptp.domain X0)))) (let ((_let_187 (_let_2))) (let ((_let_188 (ASSUME :args _let_187))) (let ((_let_189 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_190 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_191 (_let_15))) (let ((_let_192 (ASSUME :args _let_191))) (let ((_let_193 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (_let_193))) (let ((_let_196 ((tptp.antidomain X0)))) (let ((_let_197 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (_let_197))) (let ((_let_200 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_201 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_202 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= _let_1 (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1)))))) (let ((_let_203 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_204 (_let_202))) (let ((_let_205 ((tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (let ((_let_206 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (_let_206))) (let ((_let_209 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_210 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_211 (_let_209))) (let ((_let_212 (_let_31 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_213 (_let_33 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_214 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_214))) (let ((_let_217 (_let_39 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_218 (_let_18 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_219 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_220 (EQ_RESOLVE (ASSUME :args (_let_14)) 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(INSTANTIATE _let_185 :args (_let_108 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_184)) _let_185 :args (_let_109 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_107 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_69 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_106 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_76 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_105 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_49 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_103 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39 _let_18 QUANTIFIERS_INST_E_MATCHING _let_225)) :args _let_182)) _let_183 :args (_let_101 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_62 _let_33 QUANTIFIERS_INST_E_MATCHING _let_225)) :args _let_182)) _let_183 :args (_let_99 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31 tptp.one QUANTIFIERS_INST_E_MATCHING _let_224)) :args _let_222)) _let_223 :args (_let_97 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (_let_39 _let_31 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_222)) _let_223 :args (_let_96 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_220 :args (_let_93 QUANTIFIERS_INST_CBQI_PROP)) :args _let_221)) _let_220 :args (_let_95 false _let_219)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (_let_52 _let_51 _let_34 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_182)) _let_183 :args (_let_94 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (_let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_211)) _let_210 :args (_let_92 false _let_209)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args _let_218) :args _let_216)) _let_215 :args (_let_90 false _let_214)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args _let_217) :args _let_216)) _let_215 :args (_let_88 false _let_214)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args _let_213) :args _let_208)) _let_207 :args (_let_87 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args _let_212) :args _let_208)) _let_207 :args (_let_86 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (_let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_211)) _let_210 :args (_let_84 false _let_209)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_210 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_211)) _let_210 :args (_let_83 false _let_209)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_208)) _let_207 :args (_let_81 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_39 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_184))) _let_185 :args (_let_79 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_39 QUANTIFIERS_INST_E_MATCHING _let_200)) :args _let_199)) _let_198 :args (_let_78 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_34 QUANTIFIERS_INST_E_MATCHING _let_200)) :args _let_199)) _let_198 :args (_let_75 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_18 QUANTIFIERS_INST_E_MATCHING _let_200)) :args _let_199)) _let_198 :args (_let_73 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_203 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_205)) :args _let_204)) _let_203 :args (_let_71 false _let_202)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_66 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_64 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_61 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_59 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_46 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_56 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_30 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_184))) _let_185 :args (_let_54 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_184)) _let_185 :args (_let_53 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_184)) _let_185 :args (_let_50 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (_let_30 QUANTIFIERS_INST_E_MATCHING _let_200)) :args _let_199)) _let_198 :args (_let_48 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_200)) :args _let_199)) _let_198 :args (_let_45 false _let_197)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_43 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_196)) :args _let_195)) _let_194 :args (_let_41 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (_let_22 _let_27 _let_23 QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_191)) _let_192 :args (_let_38 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_19 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_189))) _let_190 :args (_let_37 false _let_189)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.forward_diamond X0 X1)))) :args _let_187)) _let_188 :args (_let_36 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_184)) _let_185 :args (_let_32 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (_let_19 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_182)) _let_183 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_179)) _let_180 :args (_let_26 false _let_16)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_171 1)) _let_177 :args (_let_178 true _let_171)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_171 0)) (CONG (REFL :args (_let_171)) (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_21))) :args _let_175)) :args ((or _let_21 _let_171))) _let_177 :args (_let_21 true _let_171)) :args (false false _let_169 false _let_168 false _let_166 false _let_164 false _let_163 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_155 false _let_154 false _let_152 false _let_151 false _let_149 false _let_148 false _let_147 false _let_146 false _let_145 false _let_144 false _let_142 false _let_140 false _let_138 false _let_135 false _let_134 false _let_130 false _let_126 false _let_124 false _let_123 false _let_121 false _let_119 false _let_118 false _let_116 false _let_114 false _let_112 false _let_110 false _let_109 false _let_107 false _let_106 false _let_105 false _let_103 false _let_101 false _let_99 false _let_97 false _let_96 false _let_95 false _let_94 false _let_92 false _let_90 false _let_88 false _let_87 false _let_86 false _let_84 false _let_83 false _let_81 false _let_79 false _let_78 false _let_75 false _let_73 false _let_71 false _let_66 false _let_64 false _let_61 false _let_59 false _let_56 false _let_54 false _let_53 false _let_50 false _let_48 false _let_45 false _let_43 false _let_41 false _let_38 false _let_37 false _let_36 false _let_32 false _let_29 false _let_26 true _let_25 false _let_21)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))) _let_2 (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_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 39.13/39.39  )
% 39.13/39.39  % SZS output end Proof for KLE098+1
% 39.13/39.40  % cvc5---1.0.5 exiting
% 39.13/39.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------