%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE133+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 05:27:21 EDT 2023

% Result   : Theorem 12.10s 12.45s
% Output   : Proof 12.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : KLE133+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 11:30:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 12.10/12.45  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YJ8xVM4dMP/cvc5---1.0.5_29968.p...
% 12.10/12.45  ------- get file name : TPTP file name is KLE133+1
% 12.10/12.45  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29968.smt2...
% 12.10/12.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.10/12.45  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.10/12.45  % SZS status Theorem for KLE133+1
% 12.10/12.45  % SZS output start Proof for KLE133+1
% 12.10/12.45  (
% 12.10/12.45  (let ((_let_1 (not (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 (tptp.forward_diamond X0 _let_1))))) (= (tptp.addition _let_1 _let_2) _let_2)))) (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.forward_diamond X0 (tptp.domain X2)))) (= (tptp.forward_diamond X0 _let_1) _let_1)))) (forall ((X3 $$unsorted)) (let ((_let_1 (tptp.domain X3))) (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)))))))))) (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 $$unsorted) (X1 $$unsorted)) (= (tptp.domain_difference X0 X1) (tptp.multiplication (tptp.domain X0) (tptp.antidomain X1)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.c X0) (tptp.antidomain (tptp.domain X0)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_8 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_9 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_13 (forall ((A $$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)) (= (tptp.addition A tptp.zero) A)))) (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_3))) (let ((_let_18 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_19 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.forward_diamond _let_19 (tptp.domain_difference _let_17 _let_18)))) (let ((_let_21 (= _let_20 (tptp.addition _let_18 _let_20)))) (let ((_let_22 (= tptp.zero (tptp.addition tptp.zero tptp.zero)))) (let ((_let_23 (tptp.domain tptp.zero))) (let ((_let_24 (tptp.antidomain tptp.zero))) (let ((_let_25 (tptp.antidomain _let_24))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (= (tptp.domain_difference tptp.zero tptp.zero) (tptp.multiplication _let_23 _let_24)))) (let ((_let_28 (= tptp.zero (tptp.multiplication _let_25 _let_24)))) (let ((_let_29 (tptp.antidomain tptp.one))) (let ((_let_30 (tptp.multiplication _let_29 tptp.one))) (let ((_let_31 (= tptp.zero _let_30))) (let ((_let_32 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_33 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_34 (tptp.antidomain _let_29))) (let ((_let_35 (= tptp.one (tptp.addition _let_34 _let_29)))) (let ((_let_36 (tptp.domain tptp.one))) (let ((_let_37 (= _let_34 _let_36))) (let ((_let_38 (tptp.coantidomain tptp.one))) (let ((_let_39 (tptp.multiplication tptp.one _let_38))) (let ((_let_40 (= tptp.zero _let_39))) (let ((_let_41 (tptp.coantidomain _let_38))) (let ((_let_42 (= tptp.one (tptp.addition _let_41 _let_38)))) (let ((_let_43 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_36))) (let ((_let_44 (= _let_43 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43)))) (let ((_let_45 (= _let_29 _let_30))) (let ((_let_46 (= _let_38 _let_39))) (let ((_let_47 (= _let_36 (tptp.multiplication tptp.one _let_36)))) (let ((_let_48 (= _let_34 (tptp.addition _let_34 tptp.zero)))) (let ((_let_49 (= _let_41 (tptp.addition _let_41 tptp.zero)))) (let ((_let_50 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_51 (= _let_50 (tptp.domain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain _let_23)))))) (let ((_let_52 (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.antidomain _let_52))) (let ((_let_54 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_58 (tptp.multiplication _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (= tptp.zero _let_58))) (let ((_let_60 (tptp.addition _let_53 _let_52))) (let ((_let_61 (= tptp.one _let_60))) (let ((_let_62 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (= _let_62 (tptp.antidomain _let_54)))) (let ((_let_64 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_54))) (let ((_let_65 (tptp.domain_difference _let_54 _let_64))) (let ((_let_66 (tptp.forward_diamond _let_19 _let_65))) (let ((_let_67 (= _let_66 (tptp.addition _let_54 _let_66)))) (let ((_let_68 (tptp.domain _let_36))) (let ((_let_69 (= _let_43 (tptp.domain (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68))))) (let ((_let_70 (tptp.multiplication tptp.one _let_54))) (let ((_let_71 (= _let_54 _let_70))) (let ((_let_72 (tptp.antidomain (tptp.antidomain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_73 (= _let_17 _let_72))) (let ((_let_74 (= tptp.zero (tptp.multiplication _let_19 tptp.zero)))) (let ((_let_75 (= _let_72 (tptp.multiplication tptp.one _let_72)))) (let ((_let_76 (tptp.domain_difference _let_23 _let_50))) (let ((_let_77 (= (tptp.forward_diamond _let_19 _let_76) (tptp.domain (tptp.multiplication _let_19 (tptp.domain _let_76)))))) (let ((_let_78 (tptp.multiplication tptp.one _let_17))) (let ((_let_79 (tptp.antidomain (tptp.antidomain _let_78)))) (let ((_let_80 (tptp.domain _let_78))) (let ((_let_81 (= _let_80 _let_79))) (let ((_let_82 (= _let_79 (tptp.multiplication tptp.one _let_79)))) (let ((_let_83 (tptp.addition _let_20 tptp.zero))) (let ((_let_84 (= _let_20 _let_83))) (let ((_let_85 (= _let_83 (tptp.addition tptp.zero _let_20)))) (let ((_let_86 (= _let_62 (tptp.multiplication tptp.one _let_62)))) (let ((_let_87 (= (tptp.domain _let_70) (tptp.antidomain (tptp.antidomain _let_70))))) (let ((_let_88 (tptp.domain_difference _let_36 _let_43))) (let ((_let_89 (= _let_88 (tptp.multiplication _let_68 (tptp.antidomain _let_43))))) (let ((_let_90 (= _let_70 (tptp.addition _let_70 tptp.zero)))) (let ((_let_91 (= tptp.zero (tptp.multiplication (tptp.antidomain _let_88) _let_88)))) (let ((_let_92 (= _let_65 (tptp.multiplication (tptp.domain _let_54) (tptp.antidomain _let_64))))) (let ((_let_93 (= (tptp.multiplication _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_58)))) (let ((_let_94 (= (tptp.forward_diamond tptp.zero _let_78) (tptp.domain (tptp.multiplication tptp.zero _let_80))))) (let ((_let_95 (tptp.multiplication tptp.one _let_80))) (let ((_let_96 (= tptp.zero (tptp.multiplication tptp.zero _let_95)))) (let ((_let_97 (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.domain X2)))) (= _let_1 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)))))) (let ((_let_98 (not _let_97))) (let ((_let_99 (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.domain_difference _let_1 (tptp.forward_diamond SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))))) (= _let_2 (tptp.addition _let_1 _let_2))))))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_21))) (let ((_let_102 (forall ((X0 $$unsorted) (BOUND_VARIABLE_918 $$unsorted)) (let ((_let_1 (tptp.domain BOUND_VARIABLE_918))) (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)))) (or (not (forall ((X1 $$unsorted)) (let ((_let_1 (tptp.domain X1))) (let ((_let_2 (tptp.forward_diamond (tptp.star X0) (tptp.domain_difference _let_1 (tptp.forward_diamond X0 _let_1))))) (= _let_2 (tptp.addition _let_1 _let_2)))))) (not (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.forward_diamond X0 (tptp.domain X2)))) (= _let_1 (tptp.forward_diamond X0 _let_1))))) (= _let_3 (tptp.addition _let_2 _let_3))))))))) (let ((_let_103 (not _let_101))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (or))) (let ((_let_106 (not _let_102))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_104) :args (_let_106))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_102))) (REFL :args (_let_103)) :args _let_105)) _let_104 :args (_let_103 true _let_102)))) (let ((_let_108 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_112 (_let_7))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (_let_3))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_120 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_124 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication X0 (tptp.coantidomain X0)))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= tptp.one (tptp.addition (tptp.coantidomain _let_1) _let_1)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (REFL :args (_let_101)))) (let ((_let_135 (_let_97))) (let ((_let_136 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_136))) (let ((_let_139 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 (_let_2))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 (_let_4))) (let ((_let_145 (ASSUME :args _let_144))) (let ((_let_146 (_let_99))) (let ((_let_147 (_let_16))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 (_let_70 QUANTIFIERS_INST_ENUM))) (let ((_let_150 (_let_12))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (and _let_22 _let_26 _let_27 _let_28 _let_31 _let_32 _let_33 _let_35 _let_37 _let_40 _let_42 _let_44 _let_45 _let_46 _let_47 _let_48 _let_49 _let_51 _let_55 _let_56 _let_57 _let_59 _let_61 _let_63 _let_67 _let_69 _let_71 _let_73 _let_74 _let_75 _let_77 _let_81 _let_82 _let_84 _let_85 _let_86 _let_87 _let_89 _let_90 _let_91 _let_92 _let_93 _let_94 _let_96))) (let ((_let_153 (APPLY_UF tptp.addition))) (let ((_let_154 (APPLY_UF tptp.forward_diamond))) (let ((_let_155 (ASSUME :args (_let_73)))) (let ((_let_156 (ASSUME :args (_let_75)))) (let ((_let_157 (APPLY_UF tptp.multiplication))) (let ((_let_158 (REFL :args (tptp.one)))) (let ((_let_159 (ASSUME :args (_let_56)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_162 (ASSUME :args (_let_42)))) (let ((_let_163 (ASSUME :args (_let_46)))) (let ((_let_164 (ASSUME :args (_let_40)))) (let ((_let_165 (ASSUME :args (_let_49)))) (let ((_let_166 (TRANS (SYMM (SYMM _let_165)) (CONG (REFL :args (_let_41)) (TRANS (SYMM (SYMM _let_164)) (SYMM _let_163)) :args _let_153) (SYMM _let_162)))) (let ((_let_167 (ASSUME :args (_let_61)))) (let ((_let_168 (ASSUME :args (_let_93)))) (let ((_let_169 (ASSUME :args (_let_59)))) (let ((_let_170 (ASSUME :args (_let_55)))) (let ((_let_171 (ASSUME :args (_let_71)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (ASSUME :args (_let_90)))) (let ((_let_174 (ASSUME :args (_let_31)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (ASSUME :args (_let_45)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (APPLY_UF tptp.antidomain))) (let ((_let_180 (ASSUME :args (_let_35)))) (let ((_let_181 (TRANS _let_174 _let_177))) (let ((_let_182 (CONG (REFL :args (_let_34)) _let_181 :args _let_153))) (let ((_let_183 (ASSUME :args (_let_48)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_37)))) (let ((_let_186 (ASSUME :args (_let_47)))) (let ((_let_187 (CONG _let_158 _let_185 :args _let_157))) (let ((_let_188 (CONG (TRANS _let_187 (SYMM _let_186) (SYMM _let_185) (SYMM _let_184) _let_182 (SYMM _let_180)) :args _let_179))) (let ((_let_189 (CONG (TRANS (CONG _let_181 :args _let_179) _let_185 _let_186 (SYMM _let_187)) :args _let_179))) (let ((_let_190 (ASSUME :args (_let_26)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (APPLY_UF tptp.domain))) (let ((_let_193 (ASSUME :args (_let_74)))) (let ((_let_194 (ASSUME :args (_let_28)))) (let ((_let_195 (CONG _let_191 (REFL :args (_let_24)) :args _let_157))) (let ((_let_196 (ASSUME :args (_let_27)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (ASSUME :args (_let_33)))) (let ((_let_199 (TRANS _let_191 _let_189 _let_188 _let_178 _let_175))) (let ((_let_200 (ASSUME :args (_let_51)))) (let ((_let_201 (CONG _let_199 (TRANS (SYMM (SYMM _let_200)) (CONG (TRANS (CONG _let_161 (TRANS (CONG _let_199 :args _let_192) _let_191 _let_189 _let_188 _let_178 _let_175) :args _let_157) (SYMM _let_198)) :args _let_192) _let_191 _let_189 _let_188 _let_178 _let_175) :args (APPLY_UF tptp.domain_difference)))) (let ((_let_202 (REFL :args (_let_19)))) (let ((_let_203 (CONG (TRANS (CONG _let_202 (TRANS (CONG (TRANS _let_201 (SYMM _let_197) _let_195 (SYMM _let_194)) :args _let_192) _let_191 _let_189 _let_188 _let_178 _let_175) :args _let_157) (SYMM _let_193)) :args _let_192))) (let ((_let_204 (ASSUME :args (_let_77)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (ASSUME :args (_let_91)))) (let ((_let_207 (ASSUME :args (_let_89)))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (ASSUME :args (_let_69)))) (let ((_let_210 (SYMM _let_182))) (let ((_let_211 (TRANS _let_180 _let_210 _let_184 _let_185 (CONG (TRANS _let_180 _let_210 _let_184 _let_185) :args _let_192)))) (let ((_let_212 (ASSUME :args (_let_57)))) (let ((_let_213 (CONG (TRANS (SYMM (SYMM _let_212)) (CONG _let_161 _let_211 :args _let_157)) :args _let_192))) (let ((_let_214 (TRANS _let_213 (SYMM _let_209)))) (let ((_let_215 (ASSUME :args (_let_63)))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (CONG _let_211 (TRANS (SYMM _let_216) (CONG _let_214 :args _let_179)) :args _let_157))) (let ((_let_218 (ASSUME :args (_let_86)))) (let ((_let_219 (SYMM (SYMM _let_218)))) (let ((_let_220 (ASSUME :args (_let_44)))) (let ((_let_221 (ASSUME :args (_let_87)))) (let ((_let_222 (ASSUME :args (_let_92)))) (let ((_let_223 (CONG _let_202 (TRANS (SYMM (SYMM _let_222)) (CONG (TRANS (CONG _let_171 :args _let_192) (TRANS (SYMM (SYMM _let_221)) (CONG (TRANS (CONG _let_172 :args _let_179) _let_216 _let_219 _let_217 _let_208) :args _let_179))) (TRANS (CONG (TRANS (CONG _let_161 _let_214 :args _let_154) (SYMM _let_220) _let_209 (SYMM _let_213)) :args _let_179) _let_216 _let_219 _let_217 _let_208) :args _let_157) (SYMM _let_206) _let_194 (SYMM _let_195) _let_197 (SYMM _let_201)) :args _let_154))) (let ((_let_224 (ASSUME :args (_let_67)))) (let ((_let_225 (SYMM _let_189))) (let ((_let_226 (SYMM _let_188))) (let ((_let_227 (ASSUME :args (_let_32)))) (let ((_let_228 (ASSUME :args (_let_22)))) (let ((_let_229 (ASSUME :args (_let_94)))) (let ((_let_230 (ASSUME :args (_let_81)))) (let ((_let_231 (REFL :args (tptp.zero)))) (let ((_let_232 (ASSUME :args (_let_82)))) (let ((_let_233 (ASSUME :args (_let_96)))) (let ((_let_234 (ASSUME :args (_let_85)))) (let ((_let_235 (ASSUME :args (_let_84)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_228 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_let_63 _let_67 _let_69 _let_71 _let_73 _let_74 _let_75 _let_77 _let_81 _let_82 _let_84 _let_85 _let_86 _let_87 _let_89 _let_90 _let_91 _let_92 _let_93 _let_94 _let_96))) :args (true _let_152)) :args ((or _let_21 (not _let_22) (not _let_26) (not _let_27) (not _let_28) (not _let_31) (not _let_32) (not _let_33) (not _let_35) (not _let_37) (not _let_40) (not _let_42) (not _let_44) (not _let_45) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_51) (not _let_55) (not _let_56) (not _let_57) (not _let_59) (not _let_61) (not _let_63) (not _let_67) (not _let_69) (not _let_71) (not _let_73) (not _let_74) (not _let_75) (not _let_77) (not _let_81) (not _let_82) (not _let_84) (not _let_85) (not _let_86) (not _let_87) (not _let_89) (not _let_90) (not _let_91) (not _let_92) (not _let_93) (not _let_94) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_95 QUANTIFIERS_INST_ENUM)) :args _let_122)) _let_121 :args (_let_96 false _let_120)) 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_let_131 :args (_let_40 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_119) :args _let_112))) _let_113 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args _let_119) :args _let_129)) _let_128 :args (_let_35 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_123) :args _let_126)) _let_125 :args (_let_33 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_123) :args _let_122)) _let_121 :args (_let_32 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_119) :args _let_118)) _let_117 :args (_let_31 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_28 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.zero tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_115 :args (_let_27 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_111) :args _let_112))) _let_113 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args _let_111) :args _let_110)) _let_109 :args (_let_22 false _let_108)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_101 2)) _let_107 :args ((not _let_21) true _let_101)) :args (false false _let_96 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_82 false _let_81 false _let_77 false _let_75 false _let_74 false _let_73 false _let_71 false _let_69 false _let_67 false _let_63 false _let_61 false _let_59 false _let_57 false _let_56 false _let_55 false _let_51 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_37 false _let_35 false _let_33 false _let_32 false _let_31 false _let_28 false _let_27 false _let_26 false _let_22 true _let_21)) :args (_let_16 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_14 _let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_9 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_8 _let_7 _let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_5 (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) _let_4 _let_3 _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))))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.divergence X0))) (= (tptp.forward_diamond X0 _let_1) _let_1))) (forall ((X0 $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.26/12.45  )
% 12.26/12.45  % SZS output end Proof for KLE133+1
% 12.26/12.45  % cvc5---1.0.5 exiting
% 12.26/12.45  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------