TSTP Solution File: KLE012+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 05:26:50 EDT 2023

% Result   : Theorem 1.70s 1.90s
% Output   : Proof 1.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 12:03:37 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 1.70/1.90  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gOXh1TODCL/cvc5---1.0.5_8163.p...
% 1.70/1.90  ------- get file name : TPTP file name is KLE012+1
% 1.70/1.90  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8163.smt2...
% 1.70/1.90  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.70/1.90  % SZS status Theorem for KLE012+1
% 1.70/1.90  % SZS output start Proof for KLE012+1
% 1.70/1.90  (
% 1.70/1.90  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X1) (tptp.test X0)) (= (tptp.multiplication X0 X1) (tptp.multiplication X1 X0))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) 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 A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_19))) (let ((_let_21 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_22 (= tptp.zero _let_21))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= tptp.zero _let_23))) (let ((_let_25 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (= tptp.one _let_25))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_28 (= tptp.zero _let_27))) (let ((_let_29 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= tptp.zero _let_29))) (let ((_let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (= tptp.one _let_31))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (= _let_25 _let_33))) (let ((_let_35 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= _let_31 _let_35))) (let ((_let_37 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37))) (let ((_let_39 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39))) (let ((_let_41 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_42 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41))) (let ((_let_43 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.zero))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_43))) (let ((_let_45 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45))) (let ((_let_47 (= _let_46 (tptp.multiplication _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_49 (= tptp.zero _let_48))) (let ((_let_50 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (= tptp.zero _let_50))) (let ((_let_52 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_53 (= tptp.zero _let_52))) (let ((_let_54 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_55 (= tptp.one _let_54))) (let ((_let_56 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_57 (= tptp.one _let_56))) (let ((_let_58 (= _let_41 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_59 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_60 (tptp.addition _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_61 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_56))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_64 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_19) (tptp.addition _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (tptp.addition tptp.zero tptp.zero))) (let ((_let_66 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_65))) (let ((_let_67 (= _let_66 (tptp.addition _let_43 tptp.zero)))) (let ((_let_68 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (tptp.multiplication _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_71 (= _let_70 _let_69))) (let ((_let_72 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (tptp.multiplication _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_17))) (let ((_let_75 (= _let_74 _let_73))) (let ((_let_76 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_78 (= _let_77 _let_76))) (let ((_let_79 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_80 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27) _let_79))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.one)))) (let ((_let_82 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_83 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_82))) (let ((_let_84 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_85 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.one))) (let ((_let_86 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_85))) (let ((_let_87 (= _let_29 (tptp.multiplication tptp.one _let_29)))) (let ((_let_88 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_89 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_90 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_89))) (let ((_let_91 (tptp.multiplication tptp.one _let_16))) (let ((_let_92 (= _let_16 _let_91))) (let ((_let_93 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_94 (= (tptp.multiplication tptp.zero _let_19) (tptp.addition _let_93 _let_50)))) (let ((_let_95 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.zero))) (let ((_let_96 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_43) (tptp.addition _let_45 _let_95)))) (let ((_let_97 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_98 (tptp.addition _let_97 _let_48))) (let ((_let_99 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43) _let_98))) (let ((_let_100 (= (tptp.multiplication _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_29 _let_93)))) (let ((_let_101 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_102 (tptp.addition _let_45 _let_101))) (let ((_let_103 (= (tptp.multiplication _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_102))) (let ((_let_104 (tptp.addition _let_27 _let_97))) (let ((_let_105 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_104))) (let ((_let_106 (= tptp.zero _let_95))) (let ((_let_107 (= tptp.zero _let_101))) (let ((_let_108 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_109 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_108))) (let ((_let_110 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_111 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59))) (let ((_let_112 (= _let_111 (tptp.addition _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_113 (= _let_61 (tptp.addition _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_114 (= _let_59 _let_63))) (let ((_let_115 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_116 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_16))) (let ((_let_117 (= _let_116 _let_115))) (let ((_let_118 (= _let_60 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_59)))) (let ((_let_119 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_120 (tptp.addition _let_119 _let_17))) (let ((_let_121 (= _let_120 (tptp.addition _let_17 _let_119)))) (let ((_let_122 (tptp.addition _let_119 _let_16))) (let ((_let_123 (= _let_122 (tptp.addition _let_16 _let_119)))) (let ((_let_124 (= _let_102 (tptp.addition _let_101 _let_45)))) (let ((_let_125 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_108))) (let ((_let_126 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_125) (tptp.addition _let_33 _let_108)))) (let ((_let_127 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_128 (tptp.addition _let_127 _let_119))) (let ((_let_129 (= (tptp.addition _let_127 _let_120) (tptp.addition _let_128 _let_17)))) (let ((_let_130 (= tptp.zero _let_65))) (let ((_let_131 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_108))) (let ((_let_132 (= _let_119 (tptp.addition _let_119 tptp.zero)))) (let ((_let_133 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_134 (= _let_133 (tptp.addition _let_133 tptp.zero)))) (let ((_let_135 (= _let_93 (tptp.addition _let_93 tptp.zero)))) (let ((_let_136 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_137 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_138 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_137))) (let ((_let_139 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_97))) (let ((_let_140 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_141 (= _let_140 _let_139))) (let ((_let_142 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_143 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_142) (tptp.multiplication _let_77 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_144 (= (tptp.multiplication tptp.one _let_119) (tptp.multiplication _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_145 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_146 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_145) (tptp.multiplication _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_147 (= (tptp.multiplication tptp.zero _let_125) (tptp.addition _let_50 (tptp.multiplication tptp.zero _let_108))))) (let ((_let_148 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_119))) (let ((_let_149 (tptp.addition _let_148 _let_70))) (let ((_let_150 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_120) _let_149))) (let ((_let_151 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_120) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_119) _let_74)))) (let ((_let_152 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_104) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27) _let_139)))) (let ((_let_153 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_59))) (let ((_let_154 (tptp.addition _let_68 _let_153))) (let ((_let_155 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_111) _let_154))) (let ((_let_156 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_125))) (let ((_let_157 (= _let_156 (tptp.addition _let_68 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_108))))) (let ((_let_158 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_115) (tptp.addition _let_77 _let_97)))) (let ((_let_159 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_54) (tptp.addition _let_45 _let_52)))) (let ((_let_160 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition tptp.zero _let_45)) (tptp.addition _let_133 _let_46)))) (let ((_let_161 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_45)) (tptp.addition _let_119 _let_46)))) (let ((_let_162 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116) (tptp.addition _let_97 _let_77)))) (let ((_let_163 (tptp.multiplication _let_125 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_164 (= _let_163 (tptp.addition _let_97 (tptp.multiplication _let_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_165 (= (tptp.multiplication _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_72 (tptp.multiplication _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_166 (tptp.multiplication _let_119 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_167 (= (tptp.multiplication _let_122 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition _let_166 _let_140)))) (let ((_let_168 (tptp.multiplication _let_59 _let_16))) (let ((_let_169 (tptp.addition _let_77 _let_168))) (let ((_let_170 (= (tptp.multiplication _let_111 _let_16) _let_169))) (let ((_let_171 (tptp.multiplication _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_172 (tptp.addition _let_17 _let_171))) (let ((_let_173 (tptp.multiplication _let_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_174 (= _let_173 _let_172))) (let ((_let_175 (tptp.multiplication _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_176 (tptp.addition _let_97 _let_175))) (let ((_let_177 (= (tptp.multiplication _let_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_176))) (let ((_let_178 (tptp.addition tptp.zero _let_72))) (let ((_let_179 (= (tptp.multiplication _let_178 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_93 _let_73)))) (let ((_let_180 (= tptp.zero (tptp.multiplication tptp.zero tptp.zero)))) (let ((_let_181 (= _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_182 (= _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_183 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_184 (= tptp.zero _let_183))) (let ((_let_185 (tptp.addition _let_16 tptp.zero))) (let ((_let_186 (= (tptp.addition tptp.zero _let_16) _let_185))) (let ((_let_187 (= (tptp.addition _let_72 tptp.zero) _let_178))) (let ((_let_188 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_189 (= _let_188 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.one)))) (let ((_let_190 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_191 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one) _let_190))) (let ((_let_192 (tptp.multiplication _let_119 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_193 (tptp.addition _let_192 _let_76))) (let ((_let_194 (= _let_193 (tptp.addition _let_76 _let_192)))) (let ((_let_195 (tptp.addition _let_108 _let_59))) (let ((_let_196 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_195))) (let ((_let_197 (= _let_196 (tptp.addition _let_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_198 (tptp.addition _let_175 _let_97))) (let ((_let_199 (= _let_176 _let_198))) (let ((_let_200 (tptp.addition _let_171 _let_17))) (let ((_let_201 (= _let_172 _let_200))) (let ((_let_202 (tptp.multiplication _let_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_203 (tptp.addition _let_68 _let_202))) (let ((_let_204 (= _let_203 (tptp.addition _let_202 _let_68)))) (let ((_let_205 (tptp.addition _let_16 _let_176))) (let ((_let_206 (= _let_205 (tptp.addition (tptp.addition _let_16 _let_97) _let_175)))) (let ((_let_207 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_97))) (let ((_let_208 (tptp.addition _let_207 _let_175))) (let ((_let_209 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_176) _let_208))) (let ((_let_210 (= (tptp.addition _let_16 _let_154) (tptp.addition (tptp.addition _let_16 _let_68) _let_153)))) (let ((_let_211 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_212 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_196) (tptp.addition _let_211 _let_195)))) (let ((_let_213 (= (tptp.addition tptp.zero _let_169) (tptp.addition (tptp.addition tptp.zero _let_77) _let_168)))) (let ((_let_214 (tptp.addition _let_17 _let_17))) (let ((_let_215 (tptp.addition _let_214 _let_171))) (let ((_let_216 (= (tptp.addition _let_17 _let_172) _let_215))) (let ((_let_217 (= _let_195 (tptp.addition (tptp.addition _let_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_218 (= (tptp.addition _let_17 _let_200) (tptp.addition _let_172 _let_17)))) (let ((_let_219 (tptp.addition _let_154 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_220 (= (tptp.addition _let_68 (tptp.addition _let_153 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_219))) (let ((_let_221 (tptp.addition _let_203 _let_202))) (let ((_let_222 (= (tptp.addition _let_68 (tptp.addition _let_202 _let_202)) _let_221))) (let ((_let_223 (= (tptp.addition _let_97 (tptp.addition _let_48 _let_175)) (tptp.addition _let_98 _let_175)))) (let ((_let_224 (= (tptp.addition _let_192 (tptp.addition _let_76 _let_97)) (tptp.addition _let_193 _let_97)))) (let ((_let_225 (tptp.multiplication tptp.one _let_17))) (let ((_let_226 (= (tptp.addition _let_17 (tptp.addition _let_171 _let_225)) (tptp.addition _let_172 _let_225)))) (let ((_let_227 (= _let_16 _let_185))) (let ((_let_228 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_229 (= _let_16 (tptp.addition _let_16 _let_16)))) (let ((_let_230 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_211))) (let ((_let_231 (= (tptp.multiplication _let_119 _let_16) (tptp.multiplication (tptp.multiplication _let_119 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_232 (tptp.multiplication _let_119 _let_17))) (let ((_let_233 (= _let_232 (tptp.multiplication _let_192 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_234 (= _let_168 (tptp.multiplication _let_171 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_235 (= _let_225 (tptp.multiplication _let_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_236 (tptp.multiplication _let_17 _let_97))) (let ((_let_237 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_139) _let_236))) (let ((_let_238 (tptp.multiplication _let_17 _let_17))) (let ((_let_239 (= _let_238 (tptp.multiplication _let_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_240 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one _let_142)) (tptp.multiplication _let_82 _let_142)))) (let ((_let_241 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_145))) (let ((_let_242 (= _let_153 (tptp.addition _let_17 _let_21)))) (let ((_let_243 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_17))) (let ((_let_244 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_243) (tptp.addition _let_45 _let_74)))) (let ((_let_245 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.one)) (tptp.addition _let_183 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.one))))) (let ((_let_246 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_190) (tptp.addition _let_85 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_247 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one))) (let ((_let_248 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_247) (tptp.addition _let_17 _let_82)))) (let ((_let_249 (tptp.addition _let_97 _let_17))) (let ((_let_250 (= _let_249 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35)))) (let ((_let_251 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.addition _let_82 _let_17)))) (let ((_let_252 (= (tptp.multiplication _let_203 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_69 (tptp.multiplication _let_202 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_253 (= (tptp.multiplication _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_16 _let_23)))) (let ((_let_254 (= (tptp.multiplication _let_196 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_68 (tptp.multiplication _let_195 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_255 (tptp.addition _let_119 _let_127))) (let ((_let_256 (= _let_171 _let_255))) (let ((_let_257 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_258 (= (tptp.multiplication _let_257 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition _let_79 _let_97)))) (let ((_let_259 (= (tptp.multiplication _let_190 _let_16) (tptp.addition _let_91 _let_77)))) (let ((_let_260 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68))) (let ((_let_261 (= (tptp.multiplication _let_260 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_17 _let_69)))) (let ((_let_262 (= _let_207 (tptp.addition _let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_263 (= _let_260 (tptp.addition _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_264 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_154) _let_219))) (let ((_let_265 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_196) (tptp.addition _let_196 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_266 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_267 (= _let_266 _let_243))) (let ((_let_268 (= _let_128 _let_255))) (let ((_let_269 (= _let_221 (tptp.addition _let_202 _let_203)))) (let ((_let_270 (= (tptp.addition _let_203 _let_153) (tptp.addition _let_153 _let_203)))) (let ((_let_271 (= _let_208 (tptp.addition _let_175 _let_207)))) (let ((_let_272 (= _let_215 (tptp.addition _let_171 _let_214)))) (let ((_let_273 (= (tptp.addition _let_175 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_175)))) (let ((_let_274 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_137) (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_275 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_188) (tptp.addition _let_247 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_276 (= (tptp.addition _let_175 _let_249) (tptp.addition _let_198 _let_17)))) (let ((_let_277 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_61) (tptp.addition _let_35 _let_56)))) (let ((_let_278 (tptp.multiplication tptp.zero _let_29))) (let ((_let_279 (= (tptp.addition _let_148 (tptp.addition _let_70 _let_278)) (tptp.addition _let_149 _let_278)))) (let ((_let_280 (= (tptp.addition _let_97 _let_257) (tptp.addition _let_249 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_281 (= _let_69 (tptp.addition _let_69 tptp.zero)))) (let ((_let_282 (= _let_17 _let_214))) (let ((_let_283 (tptp.multiplication _let_119 _let_266))) (let ((_let_284 (= (tptp.multiplication _let_119 (tptp.multiplication _let_266 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.multiplication _let_283 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_285 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_163) (tptp.multiplication _let_156 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_286 (= (tptp.multiplication _let_111 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17)) (tptp.multiplication _let_173 _let_17)))) (let ((_let_287 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_288 (= (tptp.multiplication _let_287 _let_74) (tptp.multiplication (tptp.multiplication _let_287 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_17)))) (let ((_let_289 (= _let_283 (tptp.addition _let_232 _let_166)))) (let ((_let_290 (tptp.multiplication _let_97 _let_17))) (let ((_let_291 (tptp.multiplication _let_97 _let_97))) (let ((_let_292 (= (tptp.multiplication _let_97 _let_249) (tptp.addition _let_291 _let_290)))) (let ((_let_293 (= (tptp.multiplication _let_171 (tptp.addition _let_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.addition (tptp.multiplication _let_171 _let_145) (tptp.multiplication _let_171 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_294 (= (tptp.multiplication _let_249 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_76)))) (let ((_let_295 (= (tptp.multiplication _let_249 _let_17) (tptp.addition _let_290 _let_238)))) (let ((_let_296 (= (tptp.multiplication _let_205 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_142 (tptp.multiplication _let_176 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_297 (= (tptp.multiplication _let_249 _let_97) (tptp.addition _let_291 _let_236)))) (let ((_let_298 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_299 (not _let_298))) (let ((_let_300 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_301 (not _let_300))) (let ((_let_302 (or _let_301 _let_299 _let_18))) (let ((_let_303 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X1)) (not (tptp.test X0)) (= (tptp.multiplication X0 X1) (tptp.multiplication X1 X0)))))) (let ((_let_304 (not _let_302))) (let ((_let_305 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_306 (or))) (let ((_let_307 (not _let_303))) (let ((_let_308 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_305) :args (_let_307))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_307) _let_303))) (REFL :args (_let_304)) :args _let_306)) _let_305 :args (_let_304 true _let_303)))) (let ((_let_309 (_let_15))) (let ((_let_310 (ASSUME :args _let_309))) (let ((_let_311 ((tptp.addition A B)))) (let ((_let_312 (and _let_22 _let_24 _let_26))) (let ((_let_313 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_314 (= _let_313 _let_312))) (let ((_let_315 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_316 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_317 (_let_315))) (let ((_let_318 ((tptp.complement X1 X0)))) (let ((_let_319 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_320 (not _let_319))) (let ((_let_321 (= _let_298 _let_320))) (let ((_let_322 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_323 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_324 (_let_322))) (let ((_let_325 ((tptp.test X0)))) (let ((_let_326 (REFL :args (_let_302)))) (let ((_let_327 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_302 1)) (CONG _let_326 (MACRO_SR_PRED_INTRO :args ((= (not _let_299) _let_298))) :args _let_306)) :args ((or _let_298 _let_302))) _let_308 :args (_let_298 true _let_302)))) (let ((_let_328 (not _let_313))) (let ((_let_329 (_let_320))) (let ((_let_330 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_329)) :args _let_329) (REWRITE :args ((=> _let_320 (not _let_328)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_320) _let_319))) (REFL :args (_let_313)) :args _let_306)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_321)) :args ((or _let_299 _let_320 (not _let_321)))) _let_327 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_323 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_325)) :args _let_324)) _let_323 :args (_let_321 false _let_322)) :args (_let_320 false _let_298 false _let_321)) :args (_let_313 true _let_319)))) (let ((_let_331 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_314)) :args ((or _let_328 _let_312 (not _let_314)))) 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_let_518) (CONG (TRANS _let_926 (CONG _let_753 _let_827 :args _let_521) (SYMM (SYMM _let_925)) (CONG (REFL :args (_let_291)) (TRANS _let_924 _let_923 _let_921 (CONG _let_554 (TRANS _let_627 (SYMM _let_730) _let_731) :args _let_521) (CONG _let_554 (TRANS (SYMM _let_743) _let_745 (SYMM _let_759) _let_733) :args _let_521) (CONG _let_554 _let_732 :args _let_521) (SYMM (SYMM _let_920))) :args _let_518) (SYMM _let_919) (CONG _let_829 _let_753 :args _let_521) (CONG _let_554 (TRANS _let_758 _let_757 _let_754 _let_750) :args _let_521) (SYMM (SYMM _let_918)) (CONG (TRANS (SYMM (SYMM _let_917)) (CONG (SYMM _let_875) (TRANS (CONG _let_554 _let_537 :args _let_521) (SYMM _let_905) (SYMM _let_906) _let_907 (SYMM _let_912) (CONG (REFL :args (_let_148)) (TRANS _let_910 (SYMM (SYMM _let_916)) (CONG _let_909 (SYMM _let_879) :args _let_518)) :args _let_518) (SYMM (SYMM _let_915)) (CONG (TRANS _let_914 (TRANS (SYMM _let_914) _let_912 (SYMM _let_907) _let_906 _let_905)) _let_879 :args _let_518) (CONG _let_666 (SYMM (SYMM _let_877)) :args _let_518) (SYMM _let_876) (SYMM _let_873)) :args _let_518) (CONG _let_875 _let_873 :args _let_518) _let_768 _let_824 _let_823 _let_611) _let_542 :args _let_521)) (TRANS _let_872 _let_871 _let_861) :args _let_518) (SYMM _let_869) (CONG _let_554 (SYMM (SYMM _let_868)) :args _let_521) (SYMM (SYMM _let_867)) (CONG _let_860 _let_753 :args _let_518)) :args _let_518) (SYMM (SYMM _let_866)) (CONG (TRANS (TRANS _let_862 (SYMM _let_863) (SYMM _let_865)) (TRANS _let_865 _let_863 (SYMM _let_862) (CONG (TRANS (SYMM _let_854) _let_519) _let_861 :args _let_518) (SYMM _let_859) (CONG _let_719 _let_522 :args _let_521) _let_520)) _let_753 :args _let_518)) _let_811 :args _let_518) (SYMM _let_858)) (SYMM _let_857)) _let_633 :args _let_521) (CONG _let_857 _let_699 :args _let_521) (SYMM (SYMM _let_856)) (CONG (TRANS _let_855 _let_853) (TRANS (CONG (REFL :args (_let_176)) _let_703 :args _let_521) (CONG (TRANS _let_810 (SYMM _let_835)) _let_699 :args _let_521) _let_736 _let_627 _let_734) :args _let_518) (SYMM _let_851) _let_850 _let_849 _let_847 _let_842 _let_839 _let_838 (SYMM _let_800) _let_798 _let_778 _let_776 _let_516) :args _let_521))) (let ((_let_931 (CONG _let_633 (TRANS (CONG _let_840 _let_703 :args _let_521) (SYMM _let_929)) :args _let_521))) (let ((_let_932 (ASSUME :args (_let_284)))) (let ((_let_933 (SYMM _let_932))) (let ((_let_934 (TRANS (CONG (REFL :args ((tptp.addition _let_45 tptp.one))) _let_703 :args _let_521) (CONG (TRANS _let_586 _let_569 (SYMM _let_588) _let_590 (SYMM _let_592) _let_374) _let_699 :args _let_521) _let_643))) (let ((_let_935 (CONG (REFL :args (_let_283)) _let_934 :args _let_521))) (let ((_let_936 (CONG (REFL :args (_let_108)) _let_846 :args _let_521))) (let ((_let_937 (CONG (TRANS (TRANS _let_515 (SYMM _let_776) (SYMM _let_778) (SYMM _let_798) _let_800 (SYMM _let_838) (SYMM _let_839) (SYMM _let_842) (SYMM _let_847) (SYMM _let_936)) (TRANS _let_936 (SYMM _let_849) (SYMM _let_850))) (SYMM _let_934) :args _let_521))) (let ((_let_938 (CONG _let_703 _let_666 :args _let_521))) (let ((_let_939 (CONG _let_650 (TRANS _let_623 _let_683 _let_636 _let_682 _let_640 _let_645 _let_646) :args _let_521))) (let ((_let_940 (ASSUME :args (_let_286)))) (let ((_let_941 (ASSUME :args (_let_240)))) (let ((_let_942 (ASSUME :args (_let_143)))) (let ((_let_943 (ASSUME :args (_let_239)))) (let ((_let_944 (CONG _let_753 (TRANS (CONG _let_911 _let_911 :args _let_518) _let_660) :args _let_521))) (let ((_let_945 (ASSUME :args (_let_295)))) (let ((_let_946 (ASSUME :args (_let_252)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_514)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_945 _let_927 _let_920 _let_918 _let_916 _let_900 _let_899 _let_917 _let_896 _let_915 _let_813 _let_762 _let_755 _let_746 _let_675 _let_664 _let_713 _let_919 _let_851 _let_932 _let_942 _let_742 _let_732 _let_551 _let_704 _let_565 _let_710 _let_785 _let_787 _let_809 _let_925 _let_572 _let_517 _let_599 _let_913 _let_846 _let_672 _let_639 _let_869 _let_904 _let_574 _let_547 _let_868 _let_627 _let_882 _let_581 _let_799 _let_589 _let_657 _let_568 _let_576 _let_735 _let_876 _let_801 _let_862 _let_751 _let_609 _let_784 _let_625 _let_826 _let_508 _let_866 _let_596 _let_371 _let_623 _let_659 _let_396 _let_555 _let_725 _let_591 _let_515 _let_737 _let_645 _let_761 _let_856 _let_794 _let_531 _let_373 _let_534 _let_479 _let_558 _let_793 _let_630 _let_886 _let_519 _let_858 _let_398 _let_739 _let_892 _let_786 _let_608 _let_614 _let_536 _let_493 _let_744 _let_642 _let_877 _let_701 _let_577 _let_769 _let_907 _let_898 _let_780 _let_529 _let_860 _let_867 _let_789 _let_946 _let_731 _let_610 _let_940 _let_821 _let_721 _let_779 _let_510 _let_767 _let_928 _let_781 _let_878 _let_749 _let_852 _let_893 _let_607 _let_764 _let_943 _let_604 _let_941 _let_655 _let_613 _let_922 _let_646 _let_723 _let_573 _let_788 _let_791 _let_523 _let_782 _let_662 _let_716 _let_833 _let_817 _let_738 _let_606 _let_538 _let_668 _let_571 _let_718 _let_670 _let_694 _let_720 _let_885 _let_908 _let_635 _let_619 _let_859 _let_887 _let_790 _let_881 _let_527 _let_544 _let_620 _let_819 _let_874 _let_831 _let_689 _let_825) (SCOPE (TRANS (CONG (SYMM _let_890) _let_535 :args _let_521) (SYMM (SYMM _let_946)) (CONG (TRANS _let_909 (TRANS (CONG _let_827 _let_666 :args _let_521) (SYMM (SYMM _let_945)) (CONG (TRANS (SYMM _let_944) (TRANS _let_944 _let_924 _let_923 _let_921 _let_752 _let_735)) (TRANS (SYMM (SYMM _let_943)) (CONG _let_861 _let_535 :args _let_521) (SYMM _let_942) (CONG _let_610 (REFL :args (_let_142)) :args _let_521) (SYMM _let_941) (CONG _let_554 (TRANS (CONG (SYMM _let_603) (TRANS _let_855 _let_853 (SYMM _let_938)) :args _let_521) (SYMM (SYMM _let_940)) (CONG (TRANS _let_655 (TRANS _let_656 _let_654 _let_651 (SYMM _let_939)) (TRANS _let_939 _let_649 _let_644 _let_643)) _let_666 :args _let_521) _let_938 _let_852 (SYMM _let_855) _let_937 _let_935 _let_933 _let_931 _let_930 _let_709 _let_702 _let_700) :args _let_521)) :args _let_518) (CONG _let_736 _let_864 :args _let_518))) (TRANS (CONG _let_728 _let_535 :args _let_521) _let_937 _let_935 _let_933 _let_931 _let_930 _let_709 _let_702 _let_700 _let_698 _let_617 (SYMM _let_607)) :args _let_518) (SYMM _let_606) (CONG _let_605 (TRANS (SYMM _let_604) (CONG _let_603 _let_522 :args _let_521) _let_520) :args _let_518) (SYMM (SYMM _let_517)) _let_516) :args (_let_295 _let_294 _let_237 _let_285 _let_281 _let_229 _let_222 _let_157 _let_210 _let_279 _let_223 _let_258 _let_99 _let_105 _let_226 _let_216 _let_212 _let_297 _let_289 _let_284 _let_143 _let_134 _let_141 _let_126 _let_109 _let_275 _let_230 _let_94 _let_179 _let_177 _let_292 _let_159 _let_186 _let_112 _let_150 _let_110 _let_235 _let_84 _let_162 _let_263 _let_106 _let_113 _let_117 _let_28 _let_220 _let_103 _let_293 _let_274 _let_201 _let_189 _let_96 _let_30 _let_242 _let_88 _let_194 _let_49 _let_58 _let_147 _let_107 _let_250 _let_40 _let_224 _let_114 _let_36 _let_132 _let_282 _let_34 _let_20 _let_123 _let_138 _let_227 _let_124 _let_38 _let_80 _let_296 _let_267 _let_118 _let_32 _let_136 _let_57 _let_64 _let_244 _let_47 _let_253 _let_92 _let_206 _let_26 _let_87 _let_270 _let_135 _let_42 _let_245 _let_131 _let_55 _let_152 _let_90 _let_22 _let_231 _let_44 _let_251 _let_261 _let_269 _let_75 _let_62 _let_78 _let_158 _let_130 _let_252 _let_167 _let_83 _let_286 _let_262 _let_86 _let_151 _let_181 _let_155 _let_273 _let_100 _let_180 _let_164 _let_233 _let_204 _let_234 _let_248 _let_239 _let_170 _let_240 _let_174 _let_184 _let_288 _let_182 _let_144 _let_53 _let_187 _let_67 _let_228 _let_51 _let_272 _let_197 _let_199 _let_209 _let_160 _let_213 _let_217 _let_218 _let_81 _let_191 _let_241 _let_129 _let_246 _let_254 _let_71 _let_161 _let_256 _let_259 _let_24 _let_165 _let_264 _let_277 _let_265 _let_268 _let_271 _let_146 _let_276 _let_121 _let_280))) :args (_let_20 _let_22 _let_24 _let_26 _let_28 _let_30 _let_32 _let_40 _let_38 _let_34 _let_36 _let_42 _let_44 _let_47 _let_49 _let_51 _let_53 _let_55 _let_57 _let_58 _let_62 _let_64 _let_67 _let_71 _let_75 _let_78 _let_80 _let_81 _let_83 _let_84 _let_86 _let_87 _let_88 _let_90 _let_92 _let_94 _let_96 _let_99 _let_100 _let_103 _let_105 _let_106 _let_107 _let_109 _let_110 _let_112 _let_113 _let_114 _let_117 _let_118 _let_121 _let_123 _let_124 _let_126 _let_129 _let_130 _let_131 _let_132 _let_134 _let_135 _let_136 _let_138 _let_141 _let_143 _let_144 _let_146 _let_147 _let_150 _let_151 _let_152 _let_155 _let_157 _let_158 _let_159 _let_160 _let_161 _let_162 _let_164 _let_165 _let_167 _let_170 _let_174 _let_177 _let_179 _let_180 _let_184 _let_181 _let_182 _let_186 _let_187 _let_189 _let_191 _let_194 _let_197 _let_199 _let_201 _let_204 _let_206 _let_209 _let_210 _let_212 _let_213 _let_216 _let_217 _let_218 _let_220 _let_222 _let_223 _let_224 _let_226 _let_227 _let_228 _let_229 _let_230 _let_231 _let_233 _let_234 _let_235 _let_237 _let_239 _let_240 _let_241 _let_242 _let_244 _let_245 _let_246 _let_248 _let_250 _let_251 _let_252 _let_253 _let_254 _let_256 _let_258 _let_259 _let_261 _let_262 _let_263 _let_264 _let_265 _let_267 _let_268 _let_269 _let_270 _let_271 _let_272 _let_273 _let_274 _let_275 _let_276 _let_277 _let_279 _let_280 _let_281 _let_282 _let_284 _let_285 _let_286 _let_288 _let_289 _let_292 _let_293 _let_294 _let_295 _let_296 _let_297))) :args (true _let_514)) :args ((or _let_18 (not _let_20) _let_401 _let_400 _let_394 _let_376 _let_375 _let_369 _let_504 (not _let_38) _let_393 _let_368 (not _let_42) (not _let_44) (not _let_47) (not _let_49) (not _let_51) _let_495 _let_490 _let_476 (not _let_58) (not _let_62) (not _let_64) (not _let_67) (not _let_71) (not _let_75) (not _let_78) (not _let_80) (not _let_81) (not _let_83) (not _let_84) (not _let_86) (not _let_87) (not _let_88) (not _let_90) (not _let_92) (not _let_94) (not _let_96) (not _let_99) (not _let_100) (not _let_103) (not _let_105) (not _let_106) (not _let_107) (not _let_109) (not _let_110) (not _let_112) (not _let_113) (not _let_114) (not _let_117) (not _let_118) (not _let_121) (not _let_123) (not _let_124) (not _let_126) (not _let_129) (not _let_130) (not _let_131) (not _let_132) (not _let_134) (not _let_135) (not _let_136) (not _let_138) (not _let_141) (not _let_143) (not _let_144) (not _let_146) (not _let_147) (not _let_150) (not _let_151) (not _let_152) (not _let_155) (not _let_157) (not _let_158) (not _let_159) (not _let_160) (not _let_161) (not _let_162) (not _let_164) (not _let_165) (not _let_167) (not _let_170) (not _let_174) (not _let_177) (not _let_179) (not _let_180) (not _let_184) _let_503 (not _let_182) (not _let_186) (not _let_187) (not _let_189) (not _let_191) (not _let_194) (not _let_197) (not _let_199) (not _let_201) (not _let_204) (not _let_206) (not _let_209) (not _let_210) (not _let_212) (not _let_213) (not _let_216) (not _let_217) (not _let_218) (not _let_220) (not _let_222) (not _let_223) (not _let_224) (not _let_226) (not _let_227) (not _let_228) (not _let_229) (not _let_230) (not _let_231) (not _let_233) (not _let_234) (not _let_235) (not _let_237) (not _let_239) (not _let_240) (not _let_241) (not _let_242) (not _let_244) (not _let_245) (not _let_246) (not _let_248) (not _let_250) (not _let_251) (not _let_252) (not _let_253) (not _let_254) (not _let_256) (not _let_258) (not _let_259) (not _let_261) (not _let_262) (not _let_263) (not _let_264) (not _let_265) (not _let_267) (not _let_268) (not _let_269) (not _let_270) (not _let_271) (not _let_272) (not _let_273) (not _let_274) (not _let_275) (not _let_276) (not _let_277) (not _let_279) (not _let_280) (not _let_281) (not _let_282) (not _let_284) (not _let_285) (not _let_286) (not _let_288) (not _let_289) (not _let_292) (not _let_293) (not _let_294) (not _let_295) (not _let_296) (not _let_297)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (_let_97 _let_17 _let_97 QUANTIFIERS_INST_E_MATCHING _let_461)) :args _let_459)) _let_460 :args (_let_297 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (_let_16 _let_176 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_461)) :args _let_459)) _let_460 :args (_let_296 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (_let_97 _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_461)) :args _let_459)) _let_460 :args (_let_295 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (_let_97 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_461)) :args _let_459)) _let_460 :args (_let_294 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (_let_171 _let_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_466)) :args _let_456)) _let_457 :args (_let_293 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (_let_97 _let_97 _let_17 QUANTIFIERS_INST_E_MATCHING _let_458)) :args _let_456)) _let_457 :args (_let_292 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false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_447)) :args _let_412)) _let_413 :args (_let_71 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_444 :args (tptp.zero tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_446)) :args _let_443)) _let_444 :args (_let_67 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_444 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_445)) :args _let_443)) _let_444 :args (_let_64 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_444 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_445)) :args _let_443)) _let_444 :args (_let_62 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_310 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_309)) _let_310 :args (_let_58 false _let_15)) _let_442 _let_432 _let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_420 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)) _let_420 :args (_let_51 false _let_419)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_416 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) _let_416 :args (_let_49 false _let_415)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_47 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_409 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_411)) :args _let_410)) _let_409 :args (_let_44 false _let_408)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_409 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_411)) :args _let_410)) _let_409 :args (_let_42 false _let_408)) _let_407 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_352)) :args ((or _let_342 _let_38 (not _let_352)))) _let_344 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_355)) :args ((or _let_354 _let_352 (not _let_355)))) _let_381 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_358)) _let_357 :args (_let_355 false _let_356)) :args (_let_352 false _let_353 false _let_355)) :args (_let_38 false _let_337 false _let_352)) _let_351 _let_350 _let_349 _let_348 _let_347 _let_335 _let_334 _let_333 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_310 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_311)) :args _let_309)) _let_310 :args (_let_20 false _let_15)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_302 2)) _let_308 :args ((not _let_18) true _let_302)) :args (false false _let_297 false _let_296 false _let_295 false _let_294 false _let_293 false _let_292 false _let_289 false _let_288 false _let_286 false _let_285 false _let_284 false _let_282 false _let_281 false _let_280 false _let_279 false _let_277 false _let_276 false _let_275 false _let_274 false _let_273 false _let_272 false _let_271 false _let_270 false _let_269 false _let_268 false _let_267 false _let_265 false _let_264 false _let_263 false _let_262 false _let_261 false _let_259 false _let_258 false _let_256 false _let_254 false _let_253 false _let_252 false _let_251 false _let_250 false _let_248 false _let_246 false _let_245 false _let_244 false _let_242 false _let_241 false _let_240 false _let_239 false _let_237 false _let_235 false _let_234 false _let_233 false _let_231 false _let_230 false _let_229 false _let_228 false _let_227 false _let_226 false _let_224 false _let_223 false _let_222 false _let_220 false _let_218 false _let_217 false _let_216 false _let_213 false _let_212 false _let_210 false _let_209 false _let_206 false _let_204 false _let_201 false _let_199 false _let_197 false _let_194 false _let_191 false _let_189 false _let_187 false _let_186 false _let_184 false _let_182 false _let_181 false _let_180 false _let_179 false _let_177 false _let_174 false _let_170 false _let_167 false _let_165 false _let_164 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_155 false _let_152 false _let_151 false _let_150 false _let_147 false _let_146 false _let_144 false _let_143 false _let_141 false _let_138 false _let_136 false _let_135 false _let_134 false _let_132 false _let_131 false _let_130 false _let_129 false _let_126 false _let_124 false _let_123 false _let_121 false _let_118 false _let_117 false _let_114 false _let_113 false _let_112 false _let_110 false _let_109 false _let_107 false _let_106 false _let_105 false _let_103 false _let_100 false _let_99 false _let_96 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_80 false _let_78 false _let_75 false _let_71 false _let_67 false _let_64 false _let_62 false _let_58 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 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_30 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 true _let_18)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.70/1.91  )
% 1.70/1.91  % SZS output end Proof for KLE012+1
% 1.70/1.91  % cvc5---1.0.5 exiting
% 1.70/1.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------