%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE099+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 25.82s 26.54s
% Output   : Proof 25.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE099+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 12:34:18 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 25.82/26.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.O0DUmiWeer/cvc5---1.0.5_4785.p...
% 25.82/26.54  ------- get file name : TPTP file name is KLE099+1
% 25.82/26.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4785.smt2...
% 25.82/26.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.82/26.54  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.82/26.54  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.82/26.54  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.82/26.54  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.82/26.54  % SZS status Theorem for KLE099+1
% 25.82/26.54  % SZS output start Proof for KLE099+1
% 25.82/26.54  (
% 25.82/26.54  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.domain X2))) (=> (= (tptp.addition (tptp.forward_diamond X0 _let_1) _let_2) _let_2) (= (tptp.multiplication (tptp.antidomain X2) (tptp.multiplication X0 _let_1)) tptp.zero)))))))) (let ((_let_2 (forall ((X0 $$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)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_17 (tptp.addition _let_16 _let_14))) (let ((_let_18 (= _let_14 _let_17))) (let ((_let_19 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.multiplication _let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15)))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= _let_20 (tptp.multiplication _let_22 _let_15)))) (let ((_let_24 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (tptp.antidomain _let_24))) (let ((_let_26 (= _let_15 _let_25))) (let ((_let_27 (tptp.antidomain _let_19))) (let ((_let_28 (= _let_14 _let_27))) (let ((_let_29 (tptp.domain _let_15))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29))) (let ((_let_31 (tptp.domain _let_30))) (let ((_let_32 (= _let_16 _let_31))) (let ((_let_33 (tptp.multiplication _let_27 _let_19))) (let ((_let_34 (= tptp.zero _let_33))) (let ((_let_35 (tptp.antidomain _let_14))) (let ((_let_36 (= tptp.zero (tptp.multiplication _let_35 _let_14)))) (let ((_let_37 (tptp.antidomain _let_15))) (let ((_let_38 (= tptp.zero (tptp.multiplication _let_37 _let_15)))) (let ((_let_39 (tptp.multiplication _let_25 _let_24))) (let ((_let_40 (= tptp.zero _let_39))) (let ((_let_41 (tptp.addition _let_25 _let_24))) (let ((_let_42 (= tptp.one _let_41))) (let ((_let_43 (tptp.addition _let_27 _let_19))) (let ((_let_44 (= tptp.one _let_43))) (let ((_let_45 (tptp.antidomain _let_25))) (let ((_let_46 (tptp.addition _let_45 _let_25))) (let ((_let_47 (= tptp.one _let_46))) (let ((_let_48 (tptp.antidomain _let_27))) (let ((_let_49 (tptp.addition _let_48 _let_27))) (let ((_let_50 (= tptp.one _let_49))) (let ((_let_51 (= _let_29 (tptp.antidomain _let_37)))) (let ((_let_52 (tptp.antidomain _let_30))) (let ((_let_53 (tptp.antidomain _let_52))) (let ((_let_54 (= _let_31 _let_53))) (let ((_let_55 (tptp.domain _let_24))) (let ((_let_56 (= _let_45 _let_55))) (let ((_let_57 (= _let_48 (tptp.domain _let_19)))) (let ((_let_58 (tptp.multiplication _let_52 _let_30))) (let ((_let_59 (= tptp.zero _let_58))) (let ((_let_60 (tptp.addition _let_19 _let_27))) (let ((_let_61 (= _let_43 _let_60))) (let ((_let_62 (tptp.addition _let_25 _let_45))) (let ((_let_63 (= _let_46 _let_62))) (let ((_let_64 (tptp.addition _let_53 _let_52))) (let ((_let_65 (= tptp.one _let_64))) (let ((_let_66 (= _let_19 (tptp.multiplication tptp.one _let_19)))) (let ((_let_67 (= _let_24 (tptp.multiplication tptp.one _let_24)))) (let ((_let_68 (= tptp.zero (tptp.multiplication tptp.zero _let_30)))) (let ((_let_69 (tptp.multiplication _let_53 _let_30))) (let ((_let_70 (= (tptp.multiplication _let_64 _let_30) (tptp.addition _let_69 _let_58)))) (let ((_let_71 (= (tptp.multiplication _let_35 _let_30) (tptp.multiplication (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_29)))) (let ((_let_72 (= _let_30 (tptp.multiplication tptp.one _let_30)))) (let ((_let_73 (= _let_55 (tptp.multiplication _let_55 tptp.one)))) (let ((_let_74 (= (tptp.multiplication _let_46 _let_19) (tptp.addition (tptp.multiplication _let_45 _let_19) (tptp.multiplication _let_25 _let_19))))) (let ((_let_75 (= _let_35 (tptp.multiplication _let_35 tptp.one)))) (let ((_let_76 (= _let_69 (tptp.addition _let_69 tptp.zero)))) (let ((_let_77 (tptp.multiplication _let_19 _let_16))) (let ((_let_78 (= (tptp.multiplication _let_19 _let_17) (tptp.addition _let_77 (tptp.multiplication _let_19 _let_14))))) (let ((_let_79 (= (tptp.multiplication _let_35 _let_60) (tptp.addition (tptp.multiplication _let_35 _let_19) (tptp.multiplication _let_35 _let_27))))) (let ((_let_80 (= (tptp.multiplication _let_19 (tptp.multiplication _let_31 _let_30)) (tptp.multiplication (tptp.multiplication _let_19 _let_31) _let_30)))) (let ((_let_81 (= (tptp.multiplication _let_62 _let_24) (tptp.addition _let_39 (tptp.multiplication _let_45 _let_24))))) (let ((_let_82 (= (tptp.multiplication _let_49 _let_19) (tptp.addition (tptp.multiplication _let_48 _let_19) _let_33)))) (let ((_let_83 (= (tptp.multiplication _let_55 _let_41) (tptp.addition (tptp.multiplication _let_55 _let_25) (tptp.multiplication _let_55 _let_24))))) (let ((_let_84 (= _let_77 (tptp.addition _let_77 tptp.zero)))) (let ((_let_85 (not _let_18))) (let ((_let_86 (or _let_85 _let_21))) (let ((_let_87 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.domain X2))) (or (not (= _let_2 (tptp.addition (tptp.forward_diamond X0 _let_1) _let_2))) (= tptp.zero (tptp.multiplication (tptp.antidomain X2) (tptp.multiplication X0 _let_1))))))))) (let ((_let_88 (not _let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (or))) (let ((_let_91 (not _let_87))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_89) :args (_let_91))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_87))) (REFL :args (_let_88)) :args _let_90)) _let_89 :args (_let_88 true _let_87)))) (let ((_let_93 (_let_11))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_96 (_let_3))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 ((tptp.domain X0)))) (let ((_let_99 (_let_2))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (_let_19 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_105 ((tptp.antidomain X0)))) (let ((_let_106 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_110 ((tptp.antidomain (tptp.antidomain X0))))) (let ((_let_111 (_let_13))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 ((tptp.addition B A)))) (let ((_let_114 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_30 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_120 (_let_7))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 (_let_8))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_131 (and _let_18 _let_23 _let_26 _let_28 _let_32 _let_34 _let_36 _let_38 _let_40 _let_42 _let_44 _let_47 _let_50 _let_51 _let_54 _let_56 _let_57 _let_59 _let_61 _let_63 _let_65 _let_66 _let_67 _let_68 _let_70 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83 _let_84))) (let ((_let_132 (ASSUME :args (_let_23)))) (let ((_let_133 (APPLY_UF tptp.multiplication))) (let ((_let_134 (ASSUME :args (_let_26)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (REFL :args (_let_22)))) (let ((_let_137 (APPLY_UF tptp.antidomain))) (let ((_let_138 (ASSUME :args (_let_67)))) (let ((_let_139 (REFL :args (_let_24)))) (let ((_let_140 (ASSUME :args (_let_47)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (ASSUME :args (_let_63)))) (let ((_let_143 (ASSUME :args (_let_81)))) (let ((_let_144 (APPLY_UF tptp.addition))) (let ((_let_145 (ASSUME :args (_let_56)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_40)))) (let ((_let_148 (ASSUME :args (_let_34)))) (let ((_let_149 (REFL :args (_let_19)))) (let ((_let_150 (ASSUME :args (_let_28)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (CONG _let_152 _let_149 :args _let_133))) (let ((_let_154 (ASSUME :args (_let_38)))) (let ((_let_155 (CONG _let_134 :args _let_137))) (let ((_let_156 (ASSUME :args (_let_83)))) (let ((_let_157 (ASSUME :args (_let_42)))) (let ((_let_158 (ASSUME :args (_let_73)))) (let ((_let_159 (ASSUME :args (_let_51)))) (let ((_let_160 (ASSUME :args (_let_66)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (ASSUME :args (_let_50)))) (let ((_let_163 (ASSUME :args (_let_82)))) (let ((_let_164 (ASSUME :args (_let_36)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (REFL :args (_let_35)))) (let ((_let_167 (ASSUME :args (_let_57)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (TRANS (CONG (TRANS (CONG (SYMM (TRANS _let_168 (SYMM (CONG _let_152 :args _let_137)))) _let_149 :args _let_133) (CONG _let_168 _let_149 :args _let_133)) (TRANS (CONG _let_166 _let_151 :args _let_133) _let_165 _let_148) :args _let_144) (SYMM _let_163) (CONG (SYMM _let_162) _let_149 :args _let_133) _let_161))) (let ((_let_170 (ASSUME :args (_let_79)))) (let ((_let_171 (ASSUME :args (_let_61)))) (let ((_let_172 (ASSUME :args (_let_44)))) (let ((_let_173 (ASSUME :args (_let_65)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (ASSUME :args (_let_75)))) (let ((_let_176 (TRANS (SYMM (SYMM _let_175)) (CONG _let_166 _let_173 :args _let_133) (CONG _let_166 (TRANS _let_174 (SYMM (SYMM _let_172)) (SYMM (SYMM _let_171))) :args _let_133) (SYMM (SYMM _let_170))))) (let ((_let_177 (TRANS _let_176 _let_169))) (let ((_let_178 (ASSUME :args (_let_71)))) (let ((_let_179 (REFL :args (_let_30)))) (let ((_let_180 (ASSUME :args (_let_72)))) (let ((_let_181 (ASSUME :args (_let_70)))) (let ((_let_182 (ASSUME :args (_let_59)))) (let ((_let_183 (ASSUME :args (_let_76)))) (let ((_let_184 (ASSUME :args (_let_54)))) (let ((_let_185 (ASSUME :args (_let_80)))) (let ((_let_186 (ASSUME :args (_let_32)))) (let ((_let_187 (ASSUME :args (_let_84)))) (let ((_let_188 (ASSUME :args (_let_74)))) (let ((_let_189 (TRANS (SYMM _let_188) (CONG _let_141 _let_149 :args _let_133) _let_161))) (let ((_let_190 (CONG (TRANS _let_189 (SYMM _let_169) (SYMM _let_176)) _let_151 :args _let_133))) (let ((_let_191 (CONG (SYMM _let_189) (REFL :args (_let_27)) :args _let_133))) (let ((_let_192 (ASSUME :args (_let_78)))) (let ((_let_193 (ASSUME :args (_let_18)))) (let ((_let_194 (ASSUME :args (_let_68)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_134 _let_138 _let_140 _let_142 _let_143 _let_147 _let_148 _let_150 _let_154 _let_145 _let_156 _let_157 _let_158 _let_159 _let_160 _let_162 _let_163 _let_167 _let_164 _let_170 _let_171 _let_172 _let_173 _let_175 _let_178 _let_180 _let_181 _let_182 _let_183 _let_184 _let_186 _let_185 _let_187 _let_188 _let_192 _let_193 _let_194) (SCOPE (TRANS (SYMM (SYMM _let_194)) (CONG (TRANS _let_164 (SYMM _let_190) (SYMM _let_191) (CONG _let_149 (TRANS _let_151 (SYMM (SYMM _let_193))) :args _let_133) (SYMM (SYMM _let_192)) (CONG (REFL :args (_let_77)) (TRANS (CONG _let_149 _let_152 :args _let_133) _let_191 _let_190 _let_165) :args _let_144) (SYMM _let_187) (CONG _let_149 (SYMM (SYMM _let_186)) :args _let_133)) _let_179 :args _let_133) (SYMM _let_185) (CONG _let_149 (TRANS (CONG (SYMM (SYMM _let_184)) _let_179 :args _let_133) (SYMM (SYMM _let_183)) (CONG (REFL :args (_let_69)) (SYMM (SYMM _let_182)) :args _let_144) (SYMM _let_181) (CONG _let_174 _let_179 :args _let_133) (SYMM _let_180)) :args _let_133) (CONG (SYMM _let_177) _let_179 :args _let_133) (SYMM (SYMM _let_178)) (CONG (CONG _let_177 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) :args _let_133) (REFL :args (_let_29)) :args _let_133) (CONG _let_136 (TRANS (SYMM (SYMM _let_159)) (CONG (TRANS _let_155 _let_145 (SYMM (SYMM _let_158)) (CONG (REFL :args (_let_55)) (SYMM (SYMM _let_157)) :args _let_133) (SYMM (SYMM _let_156)) (CONG (TRANS (TRANS (CONG (TRANS _let_146 (SYMM _let_155)) _let_135 :args _let_133) (SYMM _let_154) _let_148 (SYMM _let_153)) (TRANS _let_153 (SYMM _let_148) (SYMM (SYMM _let_147)))) (CONG _let_146 _let_139 :args _let_133) :args _let_144) (SYMM _let_143) (CONG (TRANS (SYMM _let_142) _let_141) _let_139 :args _let_133) (SYMM _let_138)) :args _let_137)) :args _let_133) (CONG _let_136 _let_135 :args _let_133) (SYMM _let_132)) :args (_let_23 _let_26 _let_67 _let_47 _let_63 _let_81 _let_40 _let_34 _let_28 _let_38 _let_56 _let_83 _let_42 _let_73 _let_51 _let_66 _let_50 _let_82 _let_57 _let_36 _let_79 _let_61 _let_44 _let_65 _let_75 _let_71 _let_72 _let_70 _let_59 _let_76 _let_54 _let_32 _let_80 _let_84 _let_74 _let_78 _let_18 _let_68))) :args (_let_18 _let_23 _let_26 _let_28 _let_32 _let_34 _let_36 _let_38 _let_40 _let_42 _let_44 _let_47 _let_50 _let_51 _let_54 _let_56 _let_57 _let_59 _let_61 _let_63 _let_65 _let_66 _let_67 _let_68 _let_70 _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_78 _let_79 _let_80 _let_81 _let_82 _let_83 _let_84))) :args (true _let_131)) :args ((or _let_85 _let_21 (not _let_23) (not _let_26) (not _let_28) (not _let_32) (not _let_34) (not _let_36) (not _let_38) (not _let_40) (not _let_42) (not _let_44) (not _let_47) (not _let_50) (not _let_51) (not _let_54) (not _let_56) (not _let_57) (not _let_59) (not _let_61) (not _let_63) (not _let_65) (not _let_66) (not _let_67) (not _let_68) (not _let_70) (not _let_71) (not _let_72) (not _let_73) (not _let_74) (not _let_75) (not _let_76) (not _let_78) (not _let_79) (not _let_80) (not _let_81) (not _let_82) (not _let_83) (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_77 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_126 :args (_let_84 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_55 _let_25 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_83 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_48 _let_27 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_82 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_25 _let_45 _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_81 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_19 _let_31 _let_30 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_80 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_35 _let_19 _let_27 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_128)) _let_129 :args (_let_79 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_19 _let_16 _let_14 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_128)) _let_129 :args (_let_78 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_69 QUANTIFIERS_INST_CBQI_PROP)) :args _let_127)) _let_126 :args (_let_76 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_35 QUANTIFIERS_INST_CBQI_PROP)) :args _let_124)) _let_123 :args (_let_75 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_45 _let_25 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_74 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_55 QUANTIFIERS_INST_CBQI_PROP)) :args _let_124)) _let_123 :args (_let_73 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_119) :args _let_116)) _let_115 :args (_let_72 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_71 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_53 _let_52 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_121 :args (_let_70 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args _let_119) :args (_let_117))) _let_118 :args (_let_68 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_116)) _let_115 :args (_let_67 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_104) :args _let_116)) _let_115 :args (_let_66 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_30 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_108)) _let_107 :args (_let_65 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_25 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111))) _let_112 :args (_let_63 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_19 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111))) _let_112 :args (_let_61 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_102 :args (_let_59 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_19 QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_96))) _let_97 :args (_let_57 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_24 QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_96))) _let_97 :args (_let_56 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_54 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_51 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_19 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_108)) _let_107 :args (_let_50 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_24 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_108)) _let_107 :args (_let_47 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_108)) _let_107 :args (_let_44 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_108)) _let_107 :args (_let_42 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_102 :args (_let_40 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_102 :args (_let_38 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_102 :args (_let_36 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_104) :args _let_103)) _let_102 :args (_let_34 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.forward_diamond X0 X1)))) :args _let_99)) _let_100 :args (_let_32 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_28 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)) _let_97 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_23 false _let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_86 1)) _let_92 :args ((not _let_21) true _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_86 0)) (CONG (REFL :args (_let_86)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_18))) :args _let_90)) :args ((or _let_18 _let_86))) _let_92 :args (_let_18 true _let_86)) :args (false false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_70 false _let_68 false _let_67 false _let_66 false _let_65 false _let_63 false _let_61 false _let_59 false _let_57 false _let_56 false _let_54 false _let_51 false _let_50 false _let_47 false _let_44 false _let_42 false _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_28 false _let_26 false _let_23 true _let_21 false _let_18)) :args (_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_4 _let_3 (forall ((X0 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.82/26.54  )
% 25.82/26.54  % SZS output end Proof for KLE099+1
% 25.82/26.54  % cvc5---1.0.5 exiting
% 25.82/26.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------