%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 0.86s 1.04s
% Output   : Proof 0.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10  % Command    : do_cvc5 %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 29 11:36:46 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.40  %----Proving TF0_NAR, FOF, or CNF
% 0.86/1.04  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GDWgvJoIKw/cvc5---1.0.5_7238.p...
% 0.86/1.04  ------- get file name : TPTP file name is KLE011+3
% 0.86/1.04  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7238.smt2...
% 0.86/1.04  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.86/1.04  % SZS status Theorem for KLE011+3
% 0.86/1.04  % SZS output start Proof for KLE011+3
% 0.86/1.04  (
% 0.86/1.04  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (=> (and (tptp.test X1) (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _let_1)))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_17 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_19 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.addition _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (tptp.addition _let_28 _let_27))) (let ((_let_30 (tptp.addition _let_27 _let_28))) (let ((_let_31 (= _let_30 _let_29))) (let ((_let_32 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (tptp.addition _let_33 _let_32))) (let ((_let_35 (= _let_28 _let_34))) (let ((_let_36 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (tptp.addition _let_37 _let_36))) (let ((_let_39 (= _let_27 _let_38))) (let ((_let_40 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (tptp.multiplication _let_19 _let_23))) (let ((_let_42 (= _let_41 (tptp.c _let_40)))) (let ((_let_43 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (= _let_40 _let_43))) (let ((_let_45 (tptp.addition _let_32 _let_33))) (let ((_let_46 (= _let_34 _let_45))) (let ((_let_47 (tptp.addition _let_36 _let_37))) (let ((_let_48 (= _let_38 _let_47))) (let ((_let_49 (tptp.c _let_21))) (let ((_let_50 (tptp.addition _let_49 _let_23))) (let ((_let_51 (= _let_50 (tptp.addition _let_23 _let_49)))) (let ((_let_52 (tptp.c _let_25))) (let ((_let_53 (tptp.addition _let_52 _let_19))) (let ((_let_54 (= _let_53 (tptp.addition _let_19 _let_52)))) (let ((_let_55 (tptp.addition _let_32 _let_27))) (let ((_let_56 (tptp.addition _let_33 _let_55))) (let ((_let_57 (= _let_56 (tptp.addition _let_34 _let_27)))) (let ((_let_58 (tptp.addition _let_32 _let_41))) (let ((_let_59 (tptp.addition _let_33 _let_58))) (let ((_let_60 (= _let_59 (tptp.addition _let_34 _let_41)))) (let ((_let_61 (tptp.multiplication _let_27 _let_21))) (let ((_let_62 (= (tptp.multiplication _let_27 _let_28) (tptp.multiplication _let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_63 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_64 (tptp.addition _let_33 _let_63))) (let ((_let_65 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25) _let_64))) (let ((_let_66 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_67 (tptp.addition _let_37 _let_66))) (let ((_let_68 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21) _let_67))) (let ((_let_69 (tptp.multiplication _let_27 _let_32))) (let ((_let_70 (tptp.multiplication _let_27 _let_33))) (let ((_let_71 (tptp.addition _let_70 _let_69))) (let ((_let_72 (= (tptp.multiplication _let_27 _let_34) _let_71))) (let ((_let_73 (tptp.multiplication _let_36 _let_28))) (let ((_let_74 (tptp.multiplication _let_37 _let_28))) (let ((_let_75 (= (tptp.multiplication _let_38 _let_28) (tptp.addition _let_74 _let_73)))) (let ((_let_76 (tptp.multiplication _let_23 _let_19))) (let ((_let_77 (= _let_76 (tptp.c _let_43)))) (let ((_let_78 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (= tptp.zero _let_78))) (let ((_let_80 (tptp.addition _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (= _let_80 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23)))) (let ((_let_82 (= (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19)))) (let ((_let_83 (tptp.addition _let_27 _let_41))) (let ((_let_84 (tptp.addition _let_41 _let_27))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (= _let_64 (tptp.addition _let_63 _let_33)))) (let ((_let_87 (= _let_58 (tptp.addition _let_41 _let_32)))) (let ((_let_88 (= _let_67 (tptp.addition _let_66 _let_37)))) (let ((_let_89 (= _let_71 (tptp.addition _let_69 _let_70)))) (let ((_let_90 (= (tptp.addition _let_32 _let_47) (tptp.addition (tptp.addition _let_32 _let_36) _let_37)))) (let ((_let_91 (tptp.addition _let_33 _let_41))) (let ((_let_92 (tptp.addition _let_32 _let_91))) (let ((_let_93 (= _let_92 (tptp.addition _let_45 _let_41)))) (let ((_let_94 (tptp.c _let_19))) (let ((_let_95 (= _let_94 (tptp.addition _let_94 tptp.zero)))) (let ((_let_96 (= _let_23 (tptp.addition _let_23 tptp.zero)))) (let ((_let_97 (= _let_19 (tptp.addition _let_19 tptp.zero)))) (let ((_let_98 (tptp.c _let_27))) (let ((_let_99 (= (tptp.multiplication _let_98 _let_78) (tptp.multiplication (tptp.multiplication _let_98 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_100 (tptp.multiplication _let_41 _let_28))) (let ((_let_101 (= _let_100 (tptp.multiplication (tptp.multiplication _let_41 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_102 (tptp.multiplication _let_41 _let_27))) (let ((_let_103 (= _let_102 (tptp.multiplication (tptp.multiplication _let_41 _let_25) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_104 (tptp.multiplication _let_28 _let_23))) (let ((_let_105 (= (tptp.multiplication _let_28 _let_36) (tptp.multiplication _let_104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_106 (tptp.multiplication _let_27 _let_19))) (let ((_let_107 (= _let_69 (tptp.multiplication _let_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_108 (tptp.multiplication _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (= _let_70 (tptp.multiplication _let_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_110 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25))) (let ((_let_111 (tptp.multiplication _let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_112 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27))) (let ((_let_113 (= _let_112 _let_111))) (let ((_let_114 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_115 (tptp.multiplication _let_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_116 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_117 (= _let_116 _let_115))) (let ((_let_118 (= _let_100 (tptp.multiplication _let_19 (tptp.multiplication _let_23 _let_28))))) (let ((_let_119 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41))) (let ((_let_120 (= (tptp.multiplication _let_27 _let_41) (tptp.multiplication _let_25 _let_119)))) (let ((_let_121 (tptp.multiplication _let_19 _let_112))) (let ((_let_122 (tptp.multiplication _let_32 _let_27))) (let ((_let_123 (= _let_122 _let_121))) (let ((_let_124 (tptp.multiplication _let_23 _let_116))) (let ((_let_125 (= _let_73 _let_124))) (let ((_let_126 (= _let_74 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116)))) (let ((_let_127 (= _let_102 (tptp.multiplication _let_19 (tptp.multiplication _let_23 _let_27))))) (let ((_let_128 (= (tptp.multiplication _let_28 _let_25) (tptp.multiplication _let_21 _let_110)))) (let ((_let_129 (tptp.multiplication _let_25 _let_114))) (let ((_let_130 (= _let_61 _let_129))) (let ((_let_131 (tptp.multiplication _let_27 _let_58))) (let ((_let_132 (= (tptp.multiplication _let_27 _let_59) (tptp.addition _let_70 _let_131)))) (let ((_let_133 (tptp.multiplication _let_36 _let_33))) (let ((_let_134 (tptp.multiplication _let_36 _let_32))) (let ((_let_135 (= (tptp.multiplication _let_36 _let_45) (tptp.addition _let_134 _let_133)))) (let ((_let_136 (tptp.multiplication _let_37 _let_33))) (let ((_let_137 (tptp.multiplication _let_37 _let_32))) (let ((_let_138 (= (tptp.multiplication _let_37 _let_45) (tptp.addition _let_137 _let_136)))) (let ((_let_139 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36))) (let ((_let_140 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47) (tptp.addition _let_139 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37))))) (let ((_let_141 (tptp.addition _let_108 _let_106))) (let ((_let_142 (= _let_61 _let_141))) (let ((_let_143 (tptp.multiplication _let_19 _let_25))) (let ((_let_144 (= _let_58 _let_143))) (let ((_let_145 (tptp.addition _let_28 _let_41))) (let ((_let_146 (tptp.multiplication _let_37 _let_145))) (let ((_let_147 (tptp.multiplication _let_36 _let_145))) (let ((_let_148 (= (tptp.multiplication _let_47 _let_145) (tptp.addition _let_147 _let_146)))) (let ((_let_149 (tptp.addition _let_134 _let_137))) (let ((_let_150 (= (tptp.multiplication _let_47 _let_32) _let_149))) (let ((_let_151 (tptp.addition _let_133 _let_136))) (let ((_let_152 (= (tptp.multiplication _let_47 _let_33) _let_151))) (let ((_let_153 (tptp.multiplication _let_37 _let_21))) (let ((_let_154 (tptp.multiplication _let_36 _let_21))) (let ((_let_155 (tptp.addition _let_154 _let_153))) (let ((_let_156 (= (tptp.multiplication _let_47 _let_21) _let_155))) (let ((_let_157 (= tptp.zero (tptp.multiplication _let_19 tptp.zero)))) (let ((_let_158 (= tptp.zero (tptp.multiplication _let_23 tptp.zero)))) (let ((_let_159 (= tptp.zero (tptp.multiplication _let_98 tptp.zero)))) (let ((_let_160 (= tptp.zero (tptp.multiplication tptp.zero _let_23)))) (let ((_let_161 (= tptp.zero (tptp.multiplication tptp.zero _let_19)))) (let ((_let_162 (= tptp.zero (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_163 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_164 (= tptp.zero _let_163))) (let ((_let_165 (= tptp.one _let_20))) (let ((_let_166 (= tptp.zero (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_167 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_168 (= tptp.zero _let_167))) (let ((_let_169 (= tptp.one _let_24))) (let ((_let_170 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28) (tptp.addition _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_171 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27) (tptp.addition _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_172 (tptp.addition _let_37 _let_41))) (let ((_let_173 (= _let_172 (tptp.addition _let_41 _let_37)))) (let ((_let_174 (= _let_155 (tptp.addition _let_153 _let_154)))) (let ((_let_175 (= _let_141 (tptp.addition _let_106 _let_108)))) (let ((_let_176 (= (tptp.addition _let_70 _let_149) (tptp.addition (tptp.addition _let_70 _let_134) _let_137)))) (let ((_let_177 (= (tptp.addition _let_69 _let_151) (tptp.addition (tptp.addition _let_69 _let_133) _let_136)))) (let ((_let_178 (= (tptp.addition _let_58 _let_27) (tptp.addition _let_32 _let_84)))) (let ((_let_179 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_180 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_179))) (let ((_let_181 (= (tptp.multiplication _let_28 _let_76) (tptp.multiplication _let_104 _let_19)))) (let ((_let_182 (= (tptp.multiplication _let_27 _let_76) (tptp.multiplication (tptp.multiplication _let_27 _let_23) _let_19)))) (let ((_let_183 (= (tptp.multiplication _let_58 _let_33) (tptp.multiplication (tptp.multiplication _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_184 (tptp.multiplication _let_110 _let_114))) (let ((_let_185 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_129) _let_184))) (let ((_let_186 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_114))) (let ((_let_187 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_115) (tptp.multiplication _let_186 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_188 (= _let_134 (tptp.multiplication (tptp.multiplication _let_36 _let_19) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_189 (= (tptp.multiplication _let_58 _let_27) (tptp.multiplication (tptp.multiplication _let_58 _let_25) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_190 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32))) (let ((_let_191 (= _let_190 (tptp.multiplication _let_163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_192 (= _let_139 (tptp.multiplication _let_167 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_193 (= (tptp.multiplication _let_41 _let_37) (tptp.multiplication (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_194 (= (tptp.multiplication _let_27 _let_143) (tptp.multiplication _let_106 _let_25)))) (let ((_let_195 (= (tptp.multiplication _let_41 _let_33) (tptp.multiplication (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_196 (= _let_119 (tptp.multiplication _let_163 _let_23)))) (let ((_let_197 (= (tptp.multiplication _let_23 (tptp.multiplication _let_19 _let_28)) (tptp.multiplication _let_76 _let_28)))) (let ((_let_198 (= (tptp.multiplication _let_23 (tptp.multiplication _let_19 _let_27)) (tptp.multiplication _let_76 _let_27)))) (let ((_let_199 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_145))) (let ((_let_200 (= _let_147 (tptp.multiplication _let_23 _let_199)))) (let ((_let_201 (= _let_184 (tptp.multiplication _let_111 _let_21)))) (let ((_let_202 (= _let_153 _let_186))) (let ((_let_203 (= _let_154 (tptp.multiplication _let_23 _let_114)))) (let ((_let_204 (= (tptp.multiplication _let_33 _let_25) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_110)))) (let ((_let_205 (tptp.multiplication _let_32 _let_25))) (let ((_let_206 (= _let_205 (tptp.multiplication _let_19 _let_110)))) (let ((_let_207 (= _let_106 (tptp.multiplication _let_25 _let_163)))) (let ((_let_208 (= _let_136 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_33))))) (let ((_let_209 (= _let_137 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_190)))) (let ((_let_210 (= _let_134 (tptp.multiplication _let_23 _let_190)))) (let ((_let_211 (= (tptp.multiplication _let_37 _let_41) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_119)))) (let ((_let_212 (= _let_146 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_199)))) (let ((_let_213 (= _let_104 (tptp.multiplication _let_21 _let_167)))) (let ((_let_214 (= (tptp.multiplication _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_19 _let_37)))) (let ((_let_215 (= (tptp.multiplication _let_37 _let_23) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_63)))) (let ((_let_216 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_217 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_218 (= _let_41 (tptp.multiplication _let_41 tptp.one)))) (let ((_let_219 (= _let_19 (tptp.multiplication _let_19 tptp.one)))) (let ((_let_220 (= _let_145 (tptp.multiplication _let_145 tptp.one)))) (let ((_let_221 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_222 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_223 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_80) (tptp.addition _let_167 _let_37)))) (let ((_let_224 (= (tptp.multiplication _let_112 _let_24) (tptp.addition (tptp.multiplication _let_112 _let_23) (tptp.multiplication _let_112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_225 (= (tptp.multiplication _let_58 _let_47) (tptp.addition (tptp.multiplication _let_58 _let_36) (tptp.multiplication _let_58 _let_37))))) (let ((_let_226 (tptp.multiplication _let_23 _let_33))) (let ((_let_227 (= (tptp.multiplication _let_23 _let_45) (tptp.addition (tptp.multiplication _let_23 _let_32) _let_226)))) (let ((_let_228 (= (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_32)))) (let ((_let_229 (= (tptp.multiplication _let_50 _let_116) (tptp.addition (tptp.multiplication _let_49 _let_116) _let_124)))) (let ((_let_230 (= (tptp.multiplication _let_53 _let_112) (tptp.addition (tptp.multiplication _let_52 _let_112) _let_121)))) (let ((_let_231 (= (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_232 (= (tptp.multiplication _let_92 _let_25) (tptp.addition _let_205 (tptp.multiplication _let_91 _let_25))))) (let ((_let_233 (= _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_234 (= _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_235 (= _let_49 (tptp.multiplication _let_19 _let_94)))) (let ((_let_236 (= (tptp.c _let_131) (tptp.addition _let_98 (tptp.c _let_58))))) (let ((_let_237 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_238 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.multiplication _let_23 _let_237)))) (let ((_let_239 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.multiplication _let_237 _let_23)))) (let ((_let_240 (= (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.addition _let_237 _let_23)))) (let ((_let_241 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_237))) (let ((_let_242 (tptp.c _let_30))) (let ((_let_243 (= tptp.zero _let_242))) (let ((_let_244 (= tptp.one (tptp.addition (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_245 (= tptp.zero (tptp.c _let_122)))) (let ((_let_246 (_let_18))) (let ((_let_247 (ASSUME :args _let_246))) (let ((_let_248 ((tptp.addition A B)))) (let ((_let_249 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_22 false _let_18)))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_26 false _let_18)))) (let ((_let_251 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_27 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_31 false _let_18)))) (let ((_let_252 (_let_10))) (let ((_let_253 (ASSUME :args _let_252))) (let ((_let_254 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_255 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_35 false _let_10)))) (let ((_let_256 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_39 false _let_10)))) (let ((_let_257 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_258 (not _let_257))) (let ((_let_259 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_260 (not _let_259))) (let ((_let_261 (or _let_260 _let_258 _let_42))) (let ((_let_262 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_263 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_264 (_let_262))) (let ((_let_265 ((tptp.multiplication (tptp.c X0) (tptp.c X1))))) (let ((_let_266 (tptp.addition _let_30 _let_41))) (let ((_let_267 (= tptp.one _let_266))) (let ((_let_268 (or _let_258 _let_260 _let_267))) (let ((_let_269 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _let_1))))))))) (let ((_let_270 (not _let_268))) (let ((_let_271 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_272 (or))) (let ((_let_273 (not _let_269))) (let ((_let_274 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_271) :args (_let_273))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_273) _let_269))) (REFL :args (_let_270)) :args _let_272)) _let_271 :args (_let_270 true _let_269)))) (let ((_let_275 (REFL :args (_let_268)))) (let ((_let_276 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_268 1)) (CONG _let_275 (MACRO_SR_PRED_INTRO :args ((= (not _let_260) _let_259))) :args _let_272)) :args ((or _let_259 _let_268))) _let_274 :args (_let_259 true _let_268)))) (let ((_let_277 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_268 0)) (CONG _let_275 (MACRO_SR_PRED_INTRO :args ((= (not _let_258) _let_257))) :args _let_272)) :args ((or _let_257 _let_268))) _let_274 :args (_let_257 true _let_268)))) (let ((_let_278 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_258 _let_260 _let_42 (not _let_261)))) _let_277 _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_263 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_265)) :args _let_264))) _let_263 :args (_let_261 false _let_262)) :args (_let_42 false _let_257 false _let_259 false _let_261)))) (let ((_let_279 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_44 false _let_18)))) (let ((_let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_46 false _let_18)))) (let ((_let_281 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_37 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_48 false _let_18)))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_49 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_51 false _let_18)))) (let ((_let_283 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_52 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_54 false _let_18)))) (let ((_let_284 (_let_17))) (let ((_let_285 (ASSUME :args _let_284))) (let ((_let_286 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_27 _let_32 _let_33 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_57 false _let_17)))) (let ((_let_288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_41 _let_32 _let_33 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_60 false _let_17)))) (let ((_let_289 (_let_14))) (let ((_let_290 (ASSUME :args _let_289))) (let ((_let_291 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_292 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_27 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_62 false _let_14)))) (let ((_let_293 (_let_11))) (let ((_let_294 (ASSUME :args _let_293))) (let ((_let_295 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_296 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_65 false _let_11)))) (let ((_let_297 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_68 false _let_11)))) (let ((_let_298 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_27 _let_33 _let_32 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_72 false _let_11)))) (let ((_let_299 (or _let_258 _let_260 _let_77))) (let ((_let_300 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_299)) :args ((or _let_258 _let_260 _let_77 (not _let_299)))) _let_277 _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_263 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_265)) :args _let_264))) _let_263 :args (_let_299 false _let_262)) :args (_let_77 false _let_257 false _let_259 false _let_299)))) (let ((_let_301 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_302 (= tptp.one _let_301))) (let ((_let_303 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_304 (and _let_303 _let_79 _let_302))) (let ((_let_305 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_306 (= _let_305 _let_304))) (let ((_let_307 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_308 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_309 (_let_307))) (let ((_let_310 ((tptp.complement X1 X0)))) (let ((_let_311 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_312 (not _let_311))) (let ((_let_313 (= _let_257 _let_312))) (let ((_let_314 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_315 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_316 (_let_314))) (let ((_let_317 ((tptp.test X0)))) (let ((_let_318 (not _let_305))) (let ((_let_319 (_let_312))) (let ((_let_320 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_306)) :args ((or _let_318 _let_304 (not _let_306)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_319)) :args _let_319) (REWRITE :args ((=> _let_312 (not _let_318)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_312) _let_311))) (REFL :args (_let_305)) :args _let_272)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_313)) :args ((or _let_258 _let_312 (not _let_313)))) _let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_315 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)) _let_315 :args (_let_313 false _let_314)) :args (_let_312 false _let_257 false _let_313)) :args (_let_305 true _let_311)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_310)) :args _let_309)) _let_308 :args (_let_306 false _let_307)) :args (_let_304 false _let_305 false _let_306)))) (let ((_let_321 (not _let_304))) (let ((_let_322 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_304 1)) :args ((or _let_79 _let_321))) _let_320 :args (_let_79 false _let_304)))) (let ((_let_323 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246))) _let_247 :args (_let_82 false _let_18)))) (let ((_let_324 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_27 _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246))) _let_247 :args (_let_85 false _let_18)))) (let ((_let_325 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_33 _let_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_86 false _let_18)))) (let ((_let_326 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_32 _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_87 false _let_18)))) (let ((_let_327 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_37 _let_66 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_88 false _let_18)))) (let ((_let_328 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_70 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_89 false _let_18)))) (let ((_let_329 ((tptp.addition A (tptp.addition B C))))) (let ((_let_330 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_37 _let_36 _let_32 QUANTIFIERS_INST_E_MATCHING _let_329)) :args _let_284)) _let_285 :args (_let_90 false _let_17)))) (let ((_let_331 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_41 _let_33 _let_32 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_93 false _let_17)))) (let ((_let_332 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_333 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_334 (_let_332))) (let ((_let_335 ((tptp.addition A tptp.zero)))) (let ((_let_336 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_333 :args (_let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_335)) :args _let_334)) _let_333 :args (_let_95 false _let_332)))) (let ((_let_337 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_333 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_335)) :args _let_334)) _let_333 :args (_let_96 false _let_332)))) (let ((_let_338 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_333 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_335)) :args _let_334)) _let_333 :args (_let_97 false _let_332)))) (let ((_let_339 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_98 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_99 false _let_14)))) (let ((_let_340 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_41 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_101 false _let_14)))) (let ((_let_341 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_41 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_103 false _let_14)))) (let ((_let_342 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_28 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_105 false _let_14)))) (let ((_let_343 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_27 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_107 false _let_14)))) (let ((_let_344 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_109 false _let_14)))) (let ((_let_345 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_113 false _let_14)))) (let ((_let_346 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_117 false _let_14)))) (let ((_let_347 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_348 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_19 _let_23 _let_28 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_118 false _let_14)))) (let ((_let_349 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_120 false _let_14)))) (let ((_let_350 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_123 false _let_14)))) (let ((_let_351 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_125 false _let_14)))) (let ((_let_352 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_19 _let_23 _let_27 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_127 false _let_14)))) (let ((_let_353 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_128 false _let_14)))) (let ((_let_354 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_130 false _let_14)))) (let ((_let_355 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_27 _let_33 _let_58 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_132 false _let_11)))) (let ((_let_356 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_36 _let_32 _let_33 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_135 false _let_11)))) (let ((_let_357 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_37 _let_32 _let_33 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_138 false _let_11)))) (let ((_let_358 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36 _let_37 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_140 false _let_11)))) (let ((_let_359 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_142 false _let_11)))) (let ((_let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_293))) _let_294 :args (_let_144 false _let_11)))) (let ((_let_361 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_36 _let_37 _let_145 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_148 false _let_10)))) (let ((_let_362 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_36 _let_37 _let_32 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_150 false _let_10)))) (let ((_let_363 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_36 _let_37 _let_33 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_152 false _let_10)))) (let ((_let_364 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_36 _let_37 _let_21 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_156 false _let_10)))) (let ((_let_365 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_366 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_367 (_let_365))) (let ((_let_368 ((not (= (tptp.multiplication A tptp.zero) tptp.zero))))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)) _let_366 :args (_let_157 false _let_365)))) (let ((_let_370 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)) _let_366 :args (_let_158 false _let_365)))) (let ((_let_371 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_366 :args (_let_98 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)) _let_366 :args (_let_159 false _let_365)))) (let ((_let_372 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_373 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_374 (_let_372))) (let ((_let_375 ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_373 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_373 :args (_let_160 false _let_372)))) (let ((_let_377 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_373 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_375)) :args _let_374)) _let_373 :args (_let_161 false _let_372)))) (let ((_let_378 (and _let_162 _let_164 _let_165))) (let ((_let_379 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_380 (= _let_379 _let_378))) (let ((_let_381 ((tptp.multiplication X0 X1)))) (let ((_let_382 (or _let_260 _let_379))) (let ((_let_383 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_384 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_385 (_let_383))) (let ((_let_386 ((tptp.complement X0 X1)))) (let ((_let_387 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_382)) :args ((or _let_260 _let_379 (not _let_382)))) _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_386)) :args _let_385))) _let_384 :args (_let_382 false _let_383)) :args (_let_379 false _let_259 false _let_382)))) (let ((_let_388 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_380)) :args ((or _let_378 (not _let_379) (not _let_380)))) _let_387 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_309)) _let_308 :args (_let_380 false _let_307)) :args (_let_378 false _let_379 false _let_380)))) (let ((_let_389 (not _let_378))) (let ((_let_390 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_378 0)) :args ((or _let_162 _let_389))) _let_388 :args (_let_162 false _let_378)))) (let ((_let_391 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_378 1)) :args ((or _let_164 _let_389))) _let_388 :args (_let_164 false _let_378)))) (let ((_let_392 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_378 2)) :args ((or _let_165 _let_389))) _let_388 :args (_let_165 false _let_378)))) (let ((_let_393 (and _let_166 _let_168 _let_169))) (let ((_let_394 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_395 (= _let_394 _let_393))) (let ((_let_396 (or _let_258 _let_394))) (let ((_let_397 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_395)) :args ((or _let_393 (not _let_394) (not _let_395)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_396)) :args ((or _let_258 _let_394 (not _let_396)))) _let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_386)) :args _let_385))) _let_384 :args (_let_396 false _let_383)) :args (_let_394 false _let_257 false _let_396)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_309)) _let_308 :args (_let_395 false _let_307)) :args (_let_393 false _let_394 false _let_395)))) (let ((_let_398 (not _let_393))) (let ((_let_399 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_393 0)) :args ((or _let_166 _let_398))) _let_397 :args (_let_166 false _let_393)))) (let ((_let_400 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_393 1)) :args ((or _let_168 _let_398))) _let_397 :args (_let_168 false _let_393)))) (let ((_let_401 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_393 2)) :args ((or _let_169 _let_398))) _let_397 :args (_let_169 false _let_393)))) (let ((_let_402 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_170 false _let_18)))) (let ((_let_403 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_171 false _let_18)))) (let ((_let_404 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_154 _let_153 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_174 false _let_18)))) (let ((_let_405 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_108 _let_106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_175 false _let_18)))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_137 _let_134 _let_70 QUANTIFIERS_INST_E_MATCHING _let_329)) :args _let_284)) _let_285 :args (_let_176 false _let_17)))) (let ((_let_407 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_136 _let_133 _let_69 QUANTIFIERS_INST_E_MATCHING _let_329)) :args _let_284)) _let_285 :args (_let_177 false _let_17)))) (let ((_let_408 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_409 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_410 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_409 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_408))) _let_409 :args (_let_180 false _let_408)))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_28 _let_23 _let_19 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_181 false _let_14)))) (let ((_let_412 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_27 _let_23 _let_19 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_182 false _let_14)))) (let ((_let_413 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_183 false _let_14)))) (let ((_let_414 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_114 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_187 false _let_14)))) (let ((_let_415 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_36 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_188 false _let_14)))) (let ((_let_416 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_58 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_189 false _let_14)))) (let ((_let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_191 false _let_14)))) (let ((_let_418 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_192 false _let_14)))) (let ((_let_419 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_193 false _let_14)))) (let ((_let_420 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_27 _let_19 _let_25 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_194 false _let_14)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_195 false _let_14)))) (let ((_let_422 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_23 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 :args (_let_196 false _let_14)))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 _let_19 _let_28 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289)) _let_290 :args (_let_197 false _let_14)))) (let ((_let_424 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 _let_19 _let_27 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289)) _let_290 :args (_let_198 false _let_14)))) (let ((_let_425 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_145 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_200 false _let_14)))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289)) _let_290 :args (_let_201 false _let_14)))) (let ((_let_427 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_202 false _let_14)))) (let ((_let_428 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_203 false _let_14)))) (let ((_let_429 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_204 false _let_14)))) (let ((_let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_206 false _let_14)))) (let ((_let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_207 false _let_14)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_33 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_208 false _let_14)))) (let ((_let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_209 false _let_14)))) (let ((_let_434 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_210 false _let_14)))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_145 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_212 false _let_14)))) (let ((_let_436 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_213 false _let_14)))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_214 false _let_14)))) (let ((_let_438 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_215 false _let_14)))) (let ((_let_439 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_440 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_441 (_let_439))) (let ((_let_442 ((tptp.multiplication A tptp.one)))) (let ((_let_443 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_440 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_440 :args (_let_216 false _let_439)))) (let ((_let_444 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_440 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_440 :args (_let_217 false _let_439)))) (let ((_let_445 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_440 :args (_let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_440 :args (_let_218 false _let_439)))) (let ((_let_446 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_440 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_440 :args (_let_219 false _let_439)))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_440 :args (_let_145 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_440 :args (_let_220 false _let_439)))) (let ((_let_448 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_449 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_450 (_let_448))) (let ((_let_451 ((tptp.multiplication tptp.one A)))) (let ((_let_452 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_449 :args (_let_221 false _let_448)))) (let ((_let_453 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_449 :args (_let_222 false _let_448)))) (let ((_let_454 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_112 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_224 false _let_11)))) (let ((_let_455 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_58 _let_36 _let_37 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_225 false _let_11)))) (let ((_let_456 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (_let_23 _let_32 _let_33 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_227 false _let_11)))) (let ((_let_457 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_52 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_228 false _let_10)))) (let ((_let_458 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_49 _let_23 _let_116 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_229 false _let_10)))) (let ((_let_459 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_52 _let_19 _let_112 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_230 false _let_10)))) (let ((_let_460 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_32 _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_231 false _let_10)))) (let ((_let_461 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_253 :args (_let_32 _let_91 _let_25 QUANTIFIERS_INST_E_MATCHING _let_254)) :args _let_252)) _let_253 :args (_let_232 false _let_10)))) (let ((_let_462 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_463 (= _let_462 _let_233))) (let ((_let_464 (or _let_260 _let_463))) (let ((_let_465 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_466 (= tptp.one _let_465))) (let ((_let_467 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_468 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_469 (and _let_468 _let_467 _let_466))) (let ((_let_470 (= _let_462 _let_469))) (let ((_let_471 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_472 (= _let_471 _let_465))) (let ((_let_473 (= tptp.one _let_471))) (let ((_let_474 (and _let_467 _let_468 _let_473))) (let ((_let_475 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_476 (= _let_475 _let_474))) (let ((_let_477 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_478 (not _let_477))) (let ((_let_479 (= _let_259 _let_478))) (let ((_let_480 (not _let_475))) (let ((_let_481 (_let_478))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_481)) :args _let_481) (REWRITE :args ((=> _let_478 (not _let_480)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_478) _let_477))) (REFL :args (_let_475)) :args _let_272)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_479)) :args ((or _let_260 _let_478 (not _let_479)))) _let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_315 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)) _let_315 :args (_let_479 false _let_314)) :args (_let_478 false _let_259 false _let_479)) :args (_let_475 true _let_477)))) (let ((_let_483 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_476)) :args ((or _let_480 _let_474 (not _let_476)))) _let_482 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_310)) :args _let_309)) _let_308 :args (_let_476 false _let_307)) :args (_let_474 false _let_475 false _let_476)))) (let ((_let_484 (not _let_474))) (let ((_let_485 (and _let_473 _let_472))) (let ((_let_486 (ASSUME :args (_let_472)))) (let ((_let_487 (ASSUME :args (_let_473)))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_463)) :args ((or (not _let_462) _let_233 (not _let_463)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_470)) :args ((or _let_462 (not _let_469) (not _let_470)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_469)) :args ((or (not _let_467) (not _let_468) _let_469 (not _let_466)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_474 0)) :args ((or _let_467 _let_484))) _let_483 :args (_let_467 false _let_474)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_474 1)) :args ((or _let_468 _let_484))) _let_483 :args (_let_468 false _let_474)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_485)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_486 _let_487) (SCOPE (TRANS (SYMM (SYMM _let_487)) (SYMM (SYMM _let_486))) :args (_let_472 _let_473))) :args (_let_473 _let_472))) :args (true _let_485)) :args ((or (not _let_473) _let_466 (not _let_472)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_474 2)) :args ((or _let_473 _let_484))) _let_483 :args (_let_473 false _let_474)) 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_let_194 _let_195 _let_196 _let_197 _let_198 _let_200 _let_201 _let_202 _let_203 _let_204 _let_206 _let_207 _let_208 _let_209 _let_210 _let_211 _let_212 _let_213 _let_214 _let_215 _let_216 _let_217 _let_218 _let_219 _let_220 _let_221 _let_222 _let_223 _let_224 _let_225 _let_227 _let_228 _let_229 _let_230 _let_231 _let_232 _let_233 _let_234 _let_245 _let_238 _let_239 _let_236 _let_240))) (let ((_let_1613 (TRANS _let_552 _let_879 _let_878))) (let ((_let_1614 (CONG _let_633 _let_1613 :args _let_620))) (let ((_let_1615 (TRANS _let_900 _let_899 _let_572 _let_569))) (let ((_let_1616 (CONG (TRANS _let_658 _let_1615 _let_571) _let_1477 :args _let_620))) (let ((_let_1617 (CONG _let_639 (SYMM _let_1615) :args _let_620))) (let ((_let_1618 (CONG (TRANS _let_1481 _let_1480 _let_1580 _let_1617 _let_663 _let_660 _let_1616 _let_1476 _let_638 _let_635 _let_1614 _let_627 _let_619) :args _let_617))) (let ((_let_1619 (TRANS _let_876 _let_875 _let_874 _let_670 _let_667 _let_1618 _let_904))) (let 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(let ((_let_1632 (CONG (SYMM _let_561) (TRANS _let_916 _let_1463 _let_907 _let_936) :args _let_532))) (let ((_let_1633 (CONG _let_566 _let_930 :args _let_532))) (let ((_let_1634 (TRANS _let_928 _let_1633 _let_1632 _let_940))) (let ((_let_1635 (SYMM _let_1633))) (let ((_let_1636 (SYMM _let_1632))) (let ((_let_1637 (SYMM _let_1583))) (let ((_let_1638 (CONG (TRANS _let_928 _let_1633 _let_1632 _let_1637 _let_1083) _let_1093 :args _let_532))) (let ((_let_1639 (TRANS _let_1638 _let_1092 _let_1090 _let_1089 _let_1087 _let_1085 _let_1084 _let_1583 _let_1636 _let_1635 _let_927))) (let ((_let_1640 (CONG _let_621 _let_1630 :args _let_532))) (let ((_let_1641 (CONG _let_1613 (TRANS _let_876 _let_875 _let_874 _let_670 _let_667 _let_919) :args _let_532))) (let ((_let_1642 (CONG _let_562 _let_1620 :args _let_532))) (let ((_let_1643 (TRANS _let_906 _let_1491 _let_915 _let_1642 _let_1641 _let_1640 _let_928 _let_1633 _let_1632 _let_1637 _let_1083 _let_1100 _let_1099 _let_1098 _let_1097 _let_1091 (SYMM _let_1638)))) (let ((_let_1644 (CONG (TRANS _let_1057 _let_1643 _let_1639 _let_1634) _let_539 :args _let_532))) (let ((_let_1645 (CONG _let_1056 _let_539 :args _let_532))) (let ((_let_1646 (TRANS _let_1031 _let_1028))) (let ((_let_1647 (SYMM _let_1613))) (let ((_let_1648 (CONG _let_908 _let_1647 :args _let_532))) (let ((_let_1649 (TRANS _let_946 _let_552 _let_879 _let_878))) (let ((_let_1650 (CONG _let_908 _let_1649 :args _let_532))) (let ((_let_1651 (CONG (TRANS _let_1020 (CONG _let_639 _let_582 :args _let_620)) :args _let_617))) (let ((_let_1652 (CONG (TRANS _let_985 (TRANS _let_906 _let_1491 _let_915 _let_1642 _let_1641 _let_1011 (CONG (TRANS (TRANS (CONG _let_1647 _let_908 :args _let_532) _let_1434 _let_1016 _let_1433 _let_1651 _let_1024 _let_1650 _let_1648 _let_1032 _let_1030) _let_1646) _let_539 :args _let_532))) _let_639 :args _let_532))) (let ((_let_1653 (SYMM _let_1574))) (let ((_let_1654 (CONG _let_562 _let_1153 :args _let_532))) (let ((_let_1655 (TRANS _let_656 _let_1615 _let_571))) (let ((_let_1656 (CONG _let_1655 _let_1155 :args _let_532))) (let ((_let_1657 (CONG _let_655 _let_983 :args _let_532))) (let ((_let_1658 (CONG _let_1148 (TRANS _let_1146 _let_1144 _let_1657 _let_1656 _let_1654 _let_1121 _let_1653 _let_1652 _let_1036) :args _let_620))) (let ((_let_1659 (SYMM _let_1572))) (let ((_let_1660 (CONG (TRANS _let_1168 _let_1167 _let_1659 _let_1165 _let_1164 _let_1139 _let_1163 _let_1142 _let_1162 _let_1658) (TRANS _let_670 _let_667 _let_1618 _let_904 _let_1078 _let_1645 _let_1644 _let_1105 _let_1631 _let_1629 _let_1628 _let_1627 _let_1624 _let_1622 _let_1125) :args _let_620))) (let ((_let_1661 (TRANS _let_1660 _let_1161 _let_1149 _let_1143 _let_1141 _let_1140 _let_1137 _let_1136 _let_1572 _let_1127 _let_999))) (let ((_let_1662 (SYMM _let_1658))) (let ((_let_1663 (SYMM _let_1642))) (let ((_let_1664 (SYMM _let_1641))) (let ((_let_1665 (SYMM _let_1640))) (let ((_let_1666 (CONG _let_1175 (TRANS _let_1089 _let_1087 _let_1085 _let_1084 _let_1583 _let_1636 _let_1635 _let_927 _let_1665 _let_1664 _let_1663 _let_916 _let_1463 _let_907 _let_1055 _let_1487 _let_1047 _let_1621 _let_1652 _let_1036) :args _let_620))) (let ((_let_1667 (SYMM _let_1666))) (let ((_let_1668 (TRANS _let_1168 _let_1167 _let_1659 _let_1165 _let_1164 _let_1139 _let_1163 _let_1142 _let_1162 _let_1658 _let_1667 _let_1188 _let_1179 _let_1187 (CONG _let_1647 _let_1071 :args _let_532)))) (let ((_let_1669 (CONG _let_908 _let_1668 :args _let_532))) (let ((_let_1670 (CONG _let_582 :args _let_617))) (let ((_let_1671 (TRANS _let_1670 _let_946 _let_552 _let_879 _let_878))) (let ((_let_1672 (CONG _let_539 _let_1671 :args _let_532))) (let ((_let_1673 (TRANS _let_975 _let_974 _let_1672 _let_971 _let_969 _let_966 _let_965))) (let ((_let_1674 (CONG (TRANS _let_1226 _let_1586 (CONG _let_1526 _let_1673 :args _let_620) _let_1220) _let_1003 :args _let_532))) (let ((_let_1675 (SYMM _let_1673))) (let ((_let_1676 (TRANS _let_1620 _let_1619 _let_1675 _let_975))) (let ((_let_1677 (SYMM _let_1620))) (let ((_let_1678 (CONG _let_1630 _let_621 :args _let_532))) (let ((_let_1679 (CONG (TRANS (TRANS _let_1589 _let_1249 (CONG _let_1630 _let_872 :args _let_532) _let_1046 _let_1519 _let_1054 _let_1056) (TRANS _let_1057 _let_1055 _let_1487 _let_1047 _let_1621 _let_1574 (CONG (TRANS _let_910 (TRANS _let_1244 _let_1241 _let_1240 _let_1678 _let_1235 (CONG _let_1677 _let_562 :args _let_532))) _let_639 :args _let_532) _let_1232 (CONG _let_1676 _let_1229 :args _let_532))) _let_1230 :args _let_620))) (let ((_let_1680 (TRANS _let_1057 _let_1051 _let_1486 _let_1253 _let_1252 _let_1679 _let_1228 _let_1674 _let_1669))) (let ((_let_1681 (SYMM _let_1678))) (let ((_let_1682 (SYMM _let_1619))) (let ((_let_1683 (CONG (TRANS _let_935 _let_1682) _let_562 :args _let_532))) (let ((_let_1684 (CONG (TRANS _let_1223 _let_1673 _let_936) _let_562 :args _let_532))) (let ((_let_1685 (CONG _let_1258 _let_1647 :args _let_532))) (let ((_let_1686 (CONG _let_975 _let_1671 :args _let_532))) (let ((_let_1687 (CONG (TRANS (SYMM _let_1634) (SYMM _let_1639) (SYMM _let_1643) _let_936) _let_562 :args _let_532))) (let ((_let_1688 (CONG (TRANS _let_1274 (TRANS _let_1272 (CONG _let_639 (TRANS _let_1434 _let_1016 _let_1433 _let_1651 _let_1024 _let_1650 _let_1648 _let_1032 _let_1030) :args _let_532) (CONG _let_639 _let_1646 :args _let_532) _let_1269 (SYMM _let_1687) _let_1265) (TRANS _let_1266 _let_1687 (SYMM _let_1684)) _let_1262 (TRANS _let_1261 (SYMM _let_1685) (SYMM _let_1686)) (TRANS _let_1686 _let_1685 _let_1684 _let_1683 _let_1234 _let_1681 _let_1239 _let_1255 _let_1243 _let_1056) _let_1680 _let_1217) (TRANS _let_1215 _let_1195 _let_1193 _let_1192 (CONG _let_639 _let_1668 :args _let_532) _let_1186) :args _let_620))) (let ((_let_1689 (CONG _let_1306 _let_626 :args _let_532))) (let ((_let_1690 (TRANS _let_1004 _let_991 _let_990 _let_988 _let_1652 _let_1036))) (let ((_let_1691 (TRANS _let_979 (CONG _let_539 _let_1673 :args _let_620) _let_963))) (let ((_let_1692 (CONG _let_1691 _let_1392 :args _let_532))) (let ((_let_1693 (CONG (TRANS _let_1058 (TRANS _let_1057 _let_1055 _let_1487 _let_1047 _let_1621 _let_1652 _let_1036 _let_1039) _let_1040 (SYMM _let_1690) (TRANS _let_1004 _let_991 _let_990 _let_988 (CONG (TRANS _let_985 _let_1675) _let_639 :args _let_532))) _let_983 :args _let_620))) (let ((_let_1694 (TRANS _let_876 _let_875 _let_874 _let_670 _let_667 _let_1618 _let_904 _let_1056))) (let ((_let_1695 (CONG (TRANS _let_1061 _let_883 _let_1694 _let_1060) _let_983 :args _let_620))) (let ((_let_1696 (TRANS _let_530 _let_1064 _let_542 _let_1063 _let_1695 _let_1693 _let_982 _let_1692 (SYMM _let_1588)))) (let ((_let_1697 (SYMM _let_1688))) (let ((_let_1698 (CONG _let_989 _let_931 :args _let_532))) (let ((_let_1699 (SYMM _let_1379))) (let ((_let_1700 (SYMM _let_1670))) (let ((_let_1701 (CONG _let_983 (TRANS (CONG _let_655 _let_863 :args _let_620) (CONG _let_1655 _let_1620 :args _let_620) (CONG _let_562 (TRANS _let_876 _let_875 _let_874 _let_670 _let_667 _let_1618 _let_904 _let_906 _let_1491 _let_915 _let_1642 _let_1641 _let_1640 _let_928 _let_1633 _let_1632 _let_940) :args _let_620) (CONG (TRANS _let_1573 (TRANS _let_570 _let_567 _let_553 _let_945) (TRANS _let_1700 _let_952) _let_951) (TRANS _let_939 _let_1636 _let_1635 _let_927 _let_1665 _let_1664 _let_1663 _let_916 _let_1463 _let_907) :args _let_620) _let_954 _let_1670 _let_946 _let_552 _let_879 _let_878) :args _let_620))) (let ((_let_1702 (CONG _let_983 _let_868 :args _let_620))) (let ((_let_1703 (ASSUME :args (_let_178)))) (let ((_let_1704 (SYMM _let_1703))) (let ((_let_1705 (SYMM _let_1704))) (let ((_let_1706 (CONG _let_1088 _let_658 :args _let_620))) (let ((_let_1707 (CONG _let_970 _let_659 :args _let_620))) (let ((_let_1708 (CONG _let_539 _let_1649 :args _let_620))) (let ((_let_1709 (CONG _let_539 _let_1670 :args _let_620))) (let ((_let_1710 (CONG _let_1625 _let_951 :args _let_620))) (let ((_let_1711 (CONG (TRANS _let_1543 _let_1541 _let_1540 _let_906 _let_1491 _let_915 _let_1642 _let_1641 _let_1640 _let_928 _let_1633 _let_1632 _let_1637 _let_1083 _let_1100 _let_1099 _let_1098) :args _let_617))) (let ((_let_1712 (CONG (TRANS _let_1609 (CONG (SYMM _let_1691) (SYMM _let_1273) :args _let_532) _let_1606 (CONG (TRANS (TRANS (CONG (TRANS _let_1673 _let_1682 _let_1677) _let_1273 :args _let_532) _let_1603 (CONG (TRANS (TRANS (CONG _let_1061 _let_639 :args _let_532) _let_1601 _let_1046 _let_1519 _let_1054) _let_936) _let_562 :args _let_532) _let_1683 _let_1234 _let_1681 _let_1239 _let_1255 _let_1243 _let_1056) (TRANS _let_1057 _let_1244 _let_1241 _let_1240 _let_1678 _let_1598 (CONG _let_970 _let_1648 :args _let_532))) (TRANS _let_1596 (CONG _let_970 _let_1213 :args _let_532)) :args _let_620) _let_1595 _let_1593 _let_969 _let_966 _let_965 _let_1539 _let_1545 _let_1542) :args _let_617))) (let ((_let_1713 (CONG (TRANS _let_1611 _let_1596 (CONG _let_539 _let_1213 :args _let_532) _let_1608) :args _let_617))) (let ((_let_1714 (ASSUME :args (_let_245)))) (let ((_let_1715 (SYMM _let_1714))) (let ((_let_1716 (SYMM _let_1715))) (let ((_let_1717 (CONG _let_656 _let_872 :args _let_532))) (let ((_let_1718 (ASSUME :args (_let_75)))) (let ((_let_1719 (ASSUME :args (_let_126)))) (let ((_let_1720 (CONG (SYMM _let_1719) _let_1308 :args _let_620))) (let ((_let_1721 (CONG _let_1719 (TRANS _let_1305 _let_1689 _let_1309) :args _let_620))) (let ((_let_1722 (CONG (REFL :args (_let_74)) (TRANS _let_1035 (SYMM _let_1652) (SYMM _let_1621) _let_1046 _let_1519 _let_1054 _let_1051 _let_1486 _let_1253 _let_1252 _let_1679 _let_1228 _let_1674 _let_1230 _let_1308 (SYMM _let_1689) _let_1304) :args _let_620))) (let ((_let_1723 (TRANS (TRANS _let_1199 _let_1285 _let_1284 _let_1281 _let_1280 _let_1278 _let_1688 _let_1184 _let_1182 _let_1181 _let_1180 _let_1177 _let_1666 _let_1662 _let_1149 _let_1143 _let_1141 (SYMM _let_1717) _let_1718 (SYMM _let_1720) (SYMM _let_1721) (SYMM _let_1722)) (TRANS _let_1722 _let_1721 _let_1720 (SYMM _let_1718) _let_1717 _let_1140 _let_1137 _let_1136 _let_1572 _let_1127 _let_999)))) (let ((_let_1724 (ASSUME :args (_let_173)))) (let ((_let_1725 (ASSUME :args (_let_223)))) (let ((_let_1726 (ASSUME :args (_let_81)))) (let ((_let_1727 (ASSUME :args (_let_240)))) (let ((_let_1728 (ASSUME :args (_let_185)))) (let ((_let_1729 (CONG _let_539 _let_1647 :args _let_620))) (let ((_let_1730 (ASSUME :args (_let_211)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1612)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_622 _let_624 _let_1315 _let_649 _let_556 _let_558 _let_962 _let_964 _let_530 _let_533 _let_535 _let_541 _let_967 _let_552 _let_945 _let_582 _let_973 _let_977 _let_981 _let_986 _let_554 _let_993 _let_995 _let_1000 _let_906 _let_909 _let_914 _let_873 _let_568 _let_668 _let_664 _let_918 _let_1009 _let_1063 _let_1015 _let_1019 _let_1022 _let_1029 _let_1035 _let_1039 _let_903 _let_618 _let_636 _let_640 _let_646 _let_655 _let_657 _let_661 _let_1046 _let_1049 _let_1053 _let_1056 _let_1128 _let_1129 _let_1133 _let_1134 _let_1138 _let_1142 _let_1145 _let_1160 _let_1121 _let_1152 _let_1124 _let_1110 _let_955 _let_1104 _let_939 _let_934 _let_926 _let_1082 _let_1091 _let_1077 _let_1173 _let_1178 _let_1066 _let_1183 _let_1216 _let_1219 _let_1224 _let_1227 _let_1231 _let_1233 _let_1238 _let_1242 _let_1247 _let_1250 _let_1264 _let_1267 _let_1270 _let_1202 _let_1203 _let_1207 _let_1211 _let_1185 _let_1194 _let_1196 _let_1276 _let_1282 _let_1310 _let_1301 _let_1307 _let_1304 _let_1299 _let_1297 _let_1295 _let_1293 _let_1170 _let_1075 _let_1073 _let_1069 _let_1411 _let_1380 _let_1718 _let_1719 _let_953 _let_866 _let_1703 _let_1536 _let_1539 _let_1542 _let_1594 _let_1597 _let_1600 _let_1602 _let_1605 _let_1607 _let_1610 _let_1714 _let_1724 _let_1725 _let_1726 _let_1727 _let_1728 _let_1730) (SCOPE (TRANS _let_556 (SYMM _let_1729) (SYMM _let_1708) (SYMM _let_1709) (SYMM _let_1710) _let_1537 (SYMM _let_1711) (SYMM _let_1712) (SYMM _let_1713) _let_1715 _let_1078 _let_1645 _let_1644 _let_1105 _let_1631 _let_1629 _let_1628 _let_1627 _let_1624 (SYMM _let_1730) (CONG _let_1312 _let_1676 :args _let_532) (CONG _let_1723 (TRANS _let_974 _let_1672 _let_971 _let_969 _let_966 _let_965 _let_1716 _let_1713 _let_1712 _let_1711 _let_1538 _let_1710 _let_1709 _let_1708 _let_1707 _let_1706 _let_1705 _let_1702 _let_1701 _let_1699 _let_1380) :args _let_532) (CONG _let_989 (TRANS _let_1381 _let_1379 (SYMM _let_1701) (SYMM _let_1702) _let_1704 (SYMM _let_1706) (SYMM _let_1707) _let_1729 _let_557) :args _let_532) _let_1698 _let_1171 _let_1659 _let_1165 _let_1164 _let_1139 _let_1163 _let_1142 _let_1162 _let_1658 _let_1667 _let_1188 _let_1179 _let_1187 _let_1292 _let_1183 _let_1697 _let_1277 _let_1290 _let_1289 _let_1283 (SYMM _let_1728) (CONG _let_639 _let_569 :args _let_532) (CONG _let_639 (TRANS _let_570 _let_567 _let_553 _let_945 _let_1700 (CONG (TRANS _let_530 _let_1064 _let_542 _let_1063 _let_1695 _let_1693 _let_982 _let_1692 (CONG _let_582 _let_1391 :args _let_532)) :args _let_617) (SYMM (SYMM _let_1727)) (CONG _let_946 _let_908 :args _let_620) (SYMM _let_1726)) :args _let_532) (SYMM (SYMM _let_1725)) (CONG (TRANS (TRANS _let_935 _let_1056) (SYMM _let_1694) _let_876 _let_1108) _let_1312 :args _let_620) (SYMM _let_1724) (CONG _let_1723 (TRANS _let_670 _let_667 _let_1618 _let_904 _let_1716 _let_1713 _let_1712 _let_1711 _let_1538 _let_1710 _let_1709 _let_1708 _let_1707 _let_1706 _let_1705 _let_1702 _let_1701 _let_1699 _let_1380) :args _let_620) (CONG _let_989 _let_1382 :args _let_620) _let_1413 _let_1410 (SYMM _let_627) (SYMM _let_1614) (SYMM _let_635) _let_637 (SYMM _let_1476) (SYMM _let_1616) (SYMM _let_660) _let_662 (SYMM _let_1617) (CONG (TRANS _let_955 (SYMM _let_1525) (TRANS _let_648 _let_893 _let_1475 _let_1474 _let_622 (CONG _let_989 (SYMM _let_1696) :args _let_620) (CONG _let_989 _let_970 :args _let_620) _let_1066 (SYMM _let_1068) _let_1070 (CONG _let_1071 _let_931 :args _let_532) (CONG (TRANS (CONG _let_634 _let_863 :args _let_620) _let_1074) _let_1072 :args _let_532) _let_1076 (CONG (TRANS _let_1153 (TRANS _let_1588 (SYMM _let_1692) _let_981 (SYMM _let_1693) (SYMM _let_1695) _let_1314 _let_543 _let_949 _let_531 _let_1287) _let_1313) (TRANS (CONG _let_1661 _let_566 :args _let_532) _let_1698 _let_1171 _let_1659 _let_1165 _let_1164 _let_1139 _let_1163 _let_1142 _let_1162 _let_1658 _let_1667 _let_1188 _let_1179 _let_1187 _let_1292 _let_1183 _let_1697 _let_1277 _let_1290 _let_1289 _let_1283 _let_1201 _let_1200) :args _let_620) (CONG (TRANS _let_1288 (TRANS _let_1286 _let_530 _let_1064 _let_542 _let_1063 _let_1695 _let_1693 _let_982 _let_1692 (CONG _let_1696 _let_1391 :args _let_532))) (TRANS _let_1199 _let_1285 _let_1284 _let_1281 _let_1280 _let_1278 _let_1688 _let_1184 _let_1182 _let_1181 _let_1180 _let_1177 _let_1666 _let_1662 _let_1149 _let_1294 (CONG _let_1297 _let_1295 :args _let_620) (CONG _let_1298 (TRANS _let_1296 (SYMM _let_1172) _let_1173) :args _let_620) _let_1300 (CONG (TRANS (TRANS (CONG (TRANS (SYMM _let_1147) (TRANS _let_1146 _let_1144 _let_1657 _let_1656 _let_1654 _let_1121 _let_1653 _let_987 _let_1007 _let_1006 _let_1005) _let_1690) _let_1303 :args _let_620) _let_1305 _let_1689) (TRANS _let_1309 (SYMM _let_1230) _let_1669) (SYMM _let_1680) (TRANS _let_1057 _let_1078 _let_1645 _let_1644 _let_1105 _let_1631 _let_1629 _let_1628 _let_1627 _let_1624 _let_1622 _let_1125) _let_1124) _let_1301 :args _let_620) (CONG _let_1125 _let_1302 :args _let_620) _let_1311 (CONG _let_1312 _let_626 :args _let_532) (CONG (TRANS (TRANS _let_1199 _let_1285 _let_1284 _let_1281 _let_1280 _let_1278 _let_1688 _let_1184 _let_1182 _let_1181 _let_1180 _let_1177 _let_1666 _let_1662 _let_1160 (SYMM _let_1660)) _let_1661 _let_1229) _let_1391 :args _let_532) (CONG _let_1003 _let_639 :args _let_532)) :args _let_620) _let_1316 (CONG _let_626 _let_639 :args _let_532))) _let_571 :args _let_620)) :args (_let_35 _let_46 _let_231 _let_222 _let_165 _let_22 _let_97 _let_162 _let_219 _let_169 _let_26 _let_144 _let_189 _let_221 _let_241 _let_233 _let_235 _let_54 _let_228 _let_183 _let_216 _let_65 _let_86 _let_117 _let_160 _let_164 _let_196 _let_218 _let_130 _let_42 _let_44 _let_77 _let_182 _let_87 _let_239 _let_82 _let_238 _let_203 _let_188 _let_210 _let_243 _let_31 _let_170 _let_217 _let_128 _let_39 _let_48 _let_171 _let_118 _let_166 _let_157 _let_79 _let_142 _let_175 _let_156 _let_174 _let_62 _let_72 _let_150 _let_176 _let_191 _let_206 _let_209 _let_234 _let_180 _let_181 _let_213 _let_168 _let_120 _let_207 _let_194 _let_161 _let_152 _let_132 _let_60 _let_148 _let_200 _let_96 _let_51 _let_229 _let_195 _let_103 _let_198 _let_158 _let_197 _let_227 _let_105 _let_192 _let_215 _let_68 _let_88 _let_113 _let_140 _let_212 _let_187 _let_202 _let_224 _let_201 _let_138 _let_208 _let_125 _let_135 _let_177 _let_107 _let_109 _let_89 _let_204 _let_232 _let_93 _let_220 _let_57 _let_90 _let_75 _let_126 _let_95 _let_85 _let_178 _let_236 _let_159 _let_99 _let_225 _let_127 _let_101 _let_193 _let_230 _let_214 _let_123 _let_245 _let_173 _let_223 _let_81 _let_240 _let_185 _let_211))) :args (_let_22 _let_26 _let_31 _let_35 _let_39 _let_164 _let_162 _let_168 _let_166 _let_235 _let_42 _let_44 _let_46 _let_48 _let_51 _let_54 _let_57 _let_60 _let_62 _let_65 _let_68 _let_72 _let_75 _let_79 _let_169 _let_165 _let_241 _let_243 _let_77 _let_81 _let_82 _let_85 _let_86 _let_87 _let_88 _let_89 _let_90 _let_93 _let_95 _let_96 _let_97 _let_99 _let_101 _let_103 _let_105 _let_107 _let_109 _let_113 _let_117 _let_118 _let_120 _let_123 _let_125 _let_126 _let_127 _let_128 _let_130 _let_132 _let_135 _let_138 _let_140 _let_142 _let_144 _let_148 _let_150 _let_152 _let_156 _let_157 _let_158 _let_159 _let_160 _let_161 _let_170 _let_171 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178 _let_180 _let_181 _let_182 _let_183 _let_185 _let_187 _let_188 _let_189 _let_191 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_198 _let_200 _let_201 _let_202 _let_203 _let_204 _let_206 _let_207 _let_208 _let_209 _let_210 _let_211 _let_212 _let_213 _let_214 _let_215 _let_216 _let_217 _let_218 _let_219 _let_220 _let_221 _let_222 _let_223 _let_224 _let_225 _let_227 _let_228 _let_229 _let_230 _let_231 _let_232 _let_233 _let_234 _let_245 _let_238 _let_239 _let_236 _let_240))) :args (true _let_1612)) :args ((or _let_549 _let_525 _let_615 _let_614 _let_613 _let_783 _let_782 _let_781 _let_780 _let_779 _let_612 _let_611 _let_610 _let_609 _let_778 _let_777 _let_1373 _let_775 _let_774 _let_773 _let_772 _let_771 (not _let_75) _let_500 _let_524 _let_548 _let_770 _let_769 _let_768 (not _let_81) _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_1370 _let_761 _let_759 _let_758 _let_757 _let_1419 _let_1567 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_1566 _let_748 (not _let_126) _let_1565 _let_608 _let_547 _let_747 _let_746 _let_745 _let_744 _let_743 _let_523 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_1418 _let_736 _let_735 _let_244 _let_607 _let_606 (not _let_173) _let_734 _let_733 _let_732 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_let_1019 _let_1307 _let_903 _let_649 _let_993 _let_1056 _let_1142 _let_1202 _let_1219 _let_1600 _let_558 _let_914 _let_918 _let_1247 _let_926 _let_640 _let_1173 _let_618 _let_533 _let_661 _let_1207 _let_995 _let_657 _let_622 _let_962 _let_556 _let_964 _let_1133 _let_668 _let_967 _let_554 _let_535 _let_1066 _let_1233 _let_1000 _let_582 _let_1046 _let_1610 _let_1597 _let_1224 _let_646 _let_1231 _let_568 _let_1082 _let_1178 _let_1049 _let_530 _let_1591 _let_1053 _let_955 _let_664 _let_1211 _let_655 _let_1128 _let_624 _let_541 _let_1242 _let_636 _let_552 _let_906 _let_1129 _let_1134 _let_1145 _let_1009 _let_1035 _let_1138 _let_1121 _let_1602) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_1611 _let_1596 (CONG _let_539 _let_1444 :args _let_532) _let_1608) :args _let_529) (CONG (TRANS _let_1609 (CONG (TRANS _let_1556 (CONG _let_539 _let_1587 :args _let_620) (SYMM _let_979)) (SYMM _let_1604) :args _let_532) _let_1606 (CONG (TRANS (TRANS (CONG (TRANS _let_1585 _let_1599 _let_877) _let_1604 :args _let_532) _let_1603 (CONG (TRANS (TRANS (CONG (TRANS _let_1044 _let_876) _let_639 :args _let_532) _let_1601 _let_1046 _let_1519 _let_1054) _let_936) _let_562 :args _let_532) (CONG (TRANS _let_937 _let_1599) _let_562 :args _let_532) _let_1234 _let_1256 _let_1239 _let_1255 _let_1243 _let_1056) (TRANS _let_1057 _let_1244 _let_1241 _let_1240 _let_1237 _let_1598 (CONG _let_970 (SYMM _let_1578) :args _let_532))) (TRANS _let_1596 (CONG _let_970 _let_1444 :args _let_532)) :args _let_620) _let_1595 _let_1593 _let_969 _let_966 _let_965 _let_1244 (SYMM _let_1590) _let_1592) :args _let_529) (CONG (TRANS (SYMM _let_1592) _let_1590 _let_1243 _let_1051 _let_1486 _let_1253 _let_1252 (CONG (TRANS (TRANS _let_1589 _let_1249 _let_1246 _let_1046 _let_1519 _let_1054 _let_1056) (TRANS _let_1057 _let_1055 _let_1487 _let_1047 _let_1582 _let_1574 (CONG (TRANS _let_910 _let_1245) _let_639 :args _let_532) _let_1232 (CONG (TRANS _let_1044 _let_1581 _let_1587 _let_975) _let_1229 :args _let_532))) _let_1571 :args _let_620) _let_1228 (CONG (TRANS _let_1226 _let_1586 (CONG _let_1526 _let_1585 :args _let_620) _let_1220) _let_1003 :args _let_532) (SYMM _let_1584) _let_1217) :args _let_529) (CONG (TRANS _let_1531 _let_1584 _let_1571 _let_1308) :args _let_529) (CONG (TRANS _let_1309 _let_1570 _let_1549) :args _let_529) (FALSE_INTRO _let_1569))) :args (_let_168 _let_164 _let_235 _let_238 _let_239 _let_230 _let_1327 _let_229 _let_227 _let_225 _let_218 _let_1320 _let_214 _let_206 _let_203 _let_200 _let_198 _let_88 _let_241 _let_54 _let_82 _let_125 _let_243 _let_222 _let_65 _let_79 _let_72 _let_68 _let_96 _let_101 _let_22 _let_196 _let_77 _let_197 _let_120 _let_217 _let_152 _let_31 _let_169 _let_171 _let_113 _let_86 _let_48 _let_35 _let_97 _let_165 _let_162 _let_156 _let_42 _let_189 _let_216 _let_26 _let_60 _let_103 _let_117 _let_233 _let_118 _let_123 _let_127 _let_51 _let_128 _let_195 _let_130 _let_207 _let_132 _let_166 _let_219 _let_1321 _let_157 _let_180 _let_44 _let_140 _let_39 _let_142 _let_46 _let_144 _let_158 _let_170 _let_221 _let_160 _let_175 _let_174 _let_150 _let_182 _let_188 _let_62 _let_191 _let_193))) :args (_let_22 _let_26 _let_31 _let_35 _let_39 _let_164 _let_162 _let_168 _let_166 _let_235 _let_42 _let_44 _let_46 _let_48 _let_51 _let_54 _let_60 _let_62 _let_65 _let_68 _let_72 _let_79 _let_169 _let_165 _let_241 _let_243 _let_77 _let_82 _let_86 _let_88 _let_96 _let_97 _let_101 _let_103 _let_113 _let_117 _let_118 _let_120 _let_123 _let_125 _let_127 _let_128 _let_130 _let_132 _let_140 _let_142 _let_144 _let_150 _let_152 _let_156 _let_157 _let_158 _let_160 _let_170 _let_171 _let_174 _let_175 _let_180 _let_182 _let_188 _let_189 _let_191 _let_193 _let_195 _let_196 _let_197 _let_198 _let_200 _let_203 _let_206 _let_207 _let_1321 _let_214 _let_1320 _let_216 _let_217 _let_218 _let_219 _let_221 _let_222 _let_225 _let_227 _let_229 _let_230 _let_233 _let_238 _let_239 _let_1327))) :args (true _let_1568)) (CONG _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 (REFL :args (_let_1567)) _let_829 _let_828 _let_827 _let_826 _let_825 (REFL :args (_let_1566)) _let_824 (REFL :args (_let_1565)) _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 (REFL :args (_let_1564)) _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 (REFL :args (_let_1563)) (REFL :args (_let_1562)) (REFL :args (_let_1417)) _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 (REFL :args (_let_1561)) _let_788 _let_787 (REFL :args (_let_1560)) _let_786 _let_785 _let_784 (MACRO_SR_PRED_INTRO :args ((= (not _let_1327) _let_1322))) (REFL :args (_let_1323)) :args _let_272)) :args ((or _let_549 _let_525 _let_615 _let_614 _let_613 _let_783 _let_782 _let_781 _let_780 _let_779 _let_612 _let_611 _let_610 _let_609 _let_778 _let_777 _let_775 _let_774 _let_773 _let_772 _let_771 _let_500 _let_524 _let_548 _let_770 _let_769 _let_768 _let_1323 _let_767 _let_765 _let_763 _let_758 _let_757 _let_1567 _let_756 _let_752 _let_751 _let_750 _let_749 _let_1566 _let_748 _let_1565 _let_608 _let_547 _let_747 _let_744 _let_743 _let_523 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_1322 _let_607 _let_606 _let_734 _let_733 _let_730 _let_728 _let_725 _let_724 _let_723 _let_1564 _let_720 _let_719 _let_718 _let_717 _let_716 _let_713 _let_711 _let_710 _let_1563 _let_1562 _let_1417 _let_546 _let_605 _let_703 _let_522 _let_545 _let_604 _let_1561 _let_700 _let_698 _let_1560 _let_579 _let_694 _let_693))) _let_249 _let_250 _let_251 _let_255 _let_256 _let_391 _let_390 _let_400 _let_399 _let_512 _let_278 _let_279 _let_280 _let_281 _let_282 _let_283 _let_288 _let_292 _let_296 _let_297 _let_298 _let_322 _let_401 _let_392 _let_591 _let_689 _let_300 _let_323 _let_325 _let_327 _let_337 _let_338 _let_340 _let_341 _let_345 _let_346 _let_348 _let_349 _let_350 _let_351 _let_352 _let_353 _let_354 _let_355 _let_358 _let_359 _let_360 _let_362 _let_363 _let_364 _let_369 _let_370 _let_376 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1328)) :args ((or _let_260 _let_1327 _let_1326 (not _let_1328)))) _let_276 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1420)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1414 _let_1411 _let_622 _let_618 _let_1422 _let_655 _let_1423 _let_1066 _let_1425 _let_1405 _let_541 _let_535 _let_533 _let_530 _let_554 _let_556 _let_558 _let_1407 _let_552 _let_945 _let_1022 _let_582 _let_1019 _let_649 _let_1015 _let_1063 _let_568 _let_993 _let_640 _let_1202 _let_1203 _let_1207 _let_657 _let_1211 _let_1447 _let_1536 _let_1082 _let_909 _let_934 _let_906 _let_914 _let_926 _let_668 _let_664 _let_918 _let_873 _let_1539 _let_1056 _let_1542 _let_1242 _let_964 _let_967 _let_1238 _let_1233 _let_661 _let_646 _let_636 _let_624 _let_903 _let_1049 _let_1250 _let_1247 _let_1046 _let_1053 _let_1231 _let_973 _let_995 _let_1000 _let_1227 _let_1224 _let_955 _let_1219 _let_1128 _let_1129 _let_1133 _let_1134 _let_1138 _let_1142 _let_1145 _let_1152 _let_1121 _let_1009 _let_1029 _let_1035 _let_1173 _let_1178 _let_1216 _let_1307 _let_1548 _let_1551 _let_1553 _let_1039 _let_986 _let_981 _let_977 _let_962 _let_1282 _let_1276 _let_1270 _let_1267 _let_1091 _let_939 _let_1264 _let_1196 _let_1194 _let_1185 _let_1183 _let_1557 _let_1558 _let_1403 _let_1401 _let_1399 _let_1396 _let_1384 _let_1380) (SCOPE (TRANS (CONG _let_1383 _let_863 :args _let_620) (CONG (TRANS _let_1382 (TRANS _let_1384 _let_1390 (SYMM _let_1559) _let_1389) _let_1388 (TRANS _let_1559 _let_1386 _let_1385 (CONG _let_983 (TRANS _let_574 _let_573 _let_553 _let_554 _let_1409 _let_1437 _let_1436 _let_1435) :args _let_620) (SYMM _let_1397) (CONG _let_626 _let_1306 :args 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(MODUS_PONENS (AND_INTRO _let_1015 _let_541 _let_1401 _let_533 _let_1022 _let_655 _let_993 _let_624 _let_1384 _let_1399 _let_568 _let_657 _let_530 _let_556 _let_622 _let_535 _let_1377 _let_558 _let_582 _let_945 _let_1380 _let_640 _let_1407 _let_1405 _let_1403 _let_1396 _let_1152 _let_552 _let_1019 _let_554 _let_649) (SCOPE (TRANS _let_556 (CONG _let_539 _let_1394 :args _let_620) (CONG _let_970 (TRANS _let_900 _let_899 _let_553 _let_554 _let_1409 (SYMM _let_992) _let_993 (SYMM _let_1395) _let_1408) :args _let_620) _let_1406 (SYMM _let_1404) (CONG (TRANS (TRANS _let_1402 (CONG _let_1306 _let_623 :args _let_620)) (TRANS (SYMM _let_1400) (CONG (TRANS _let_1398 (SYMM _let_625)) _let_1306 :args _let_620) _let_1397 (CONG _let_983 (TRANS _let_1395 _let_994 _let_992 _let_563 _let_555 _let_632 _let_879 _let_878) :args _let_620) _let_1384 _let_1390 (SYMM _let_1387)) _let_1389 (TRANS _let_1388 _let_1387 _let_1386 _let_1385) _let_1383) _let_863 :args _let_620) (CONG _let_1382 _let_863 :args 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_55 _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_1358 false _let_18)) _let_1354 _let_1353 _let_1352 _let_430 _let_443 _let_444 _let_446 _let_452 _let_453 _let_488 _let_585 _let_587 :args (_let_1359 true _let_267 false _let_22 false _let_26 false _let_31 false _let_35 false _let_39 false _let_46 false _let_48 false _let_57 false _let_65 false _let_169 false _let_165 false _let_241 false _let_82 false _let_1348 false _let_1347 false _let_90 false _let_1345 false _let_130 false _let_144 false _let_1339 false _let_1338 false _let_1358 false _let_1337 false _let_1335 false _let_1330 false _let_206 false _let_216 false _let_217 false _let_219 false _let_221 false _let_222 false _let_233 false _let_238 false _let_239)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (_let_21 _let_112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_246)) _let_247 :args (_let_1340 false _let_18)) _let_402 _let_403 _let_1356 _let_1355 _let_404 _let_405 _let_1354 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_33 _let_32 _let_25 QUANTIFIERS_INST_E_MATCHING _let_329)) :args _let_284)) _let_285 :args (_let_1336 false _let_17)) _let_1353 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_1331 false _let_17)) _let_1352 _let_410 _let_412 _let_413 _let_414 _let_415 _let_416 _let_417 _let_418 _let_420 _let_421 _let_422 _let_423 _let_424 _let_425 _let_426 _let_427 _let_428 _let_430 _let_431 _let_434 _let_435 _let_436 _let_438 _let_1324 _let_443 _let_444 _let_445 _let_446 _let_452 _let_453 _let_454 _let_456 _let_457 _let_458 _let_488 _let_585 _let_587 _let_575 :args (_let_1351 false _let_22 false _let_26 false _let_31 false _let_1350 false _let_35 false 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false _let_1336 false _let_1335 false _let_1331 false _let_1330 false _let_180 false _let_182 false _let_183 false _let_187 false _let_188 false _let_189 false _let_191 false _let_192 false _let_194 false _let_195 false _let_196 false _let_197 false _let_198 false _let_200 false _let_201 false _let_202 false _let_203 false _let_206 false _let_207 false _let_210 false _let_212 false _let_213 false _let_215 false _let_1320 false _let_216 false _let_217 false _let_218 false _let_219 false _let_221 false _let_222 false _let_224 false _let_227 false _let_228 false _let_229 false _let_233 false _let_238 false _let_239 false _let_236)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_519 :args (_let_1319 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_521)) :args _let_520)) _let_519 :args (_let_1328 false _let_518)) :args (_let_1327 false _let_259 true _let_1326 false _let_1328)) _let_402 _let_403 _let_404 _let_405 _let_410 _let_412 _let_415 _let_416 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_let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_546 _let_605 _let_703 _let_522 _let_702 _let_545 _let_604 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_692 _let_579 _let_695 _let_694 _let_693))) _let_680 _let_249 _let_250 _let_251 _let_255 _let_256 _let_391 _let_390 _let_400 _let_399 _let_512 _let_278 _let_279 _let_280 _let_281 _let_282 _let_283 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_41 _let_27 _let_28 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_691 false _let_17)) _let_288 _let_292 _let_296 _let_297 _let_298 _let_322 _let_401 _let_392 _let_591 _let_689 _let_300 _let_323 _let_324 _let_325 _let_326 _let_327 _let_328 _let_331 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (_let_41 _let_37 _let_36 QUANTIFIERS_INST_E_MATCHING _let_286)) :args _let_284)) _let_285 :args (_let_690 false _let_17)) _let_336 _let_337 _let_338 _let_341 _let_342 _let_343 _let_344 _let_345 _let_346 _let_348 _let_349 _let_351 _let_353 _let_354 _let_355 _let_356 _let_357 _let_358 _let_359 _let_360 _let_361 _let_362 _let_363 _let_364 _let_369 _let_370 _let_376 _let_377 _let_402 _let_403 _let_404 _let_405 _let_406 _let_407 _let_410 _let_411 _let_412 _let_413 _let_414 _let_415 _let_416 _let_417 _let_418 _let_420 _let_421 _let_422 _let_423 _let_424 _let_425 _let_426 _let_427 _let_428 _let_429 _let_430 _let_431 _let_432 _let_433 _let_434 _let_435 _let_436 _let_438 _let_443 _let_444 _let_445 _let_446 _let_447 _let_452 _let_453 _let_454 _let_456 _let_457 _let_458 _let_460 _let_461 _let_488 _let_501 _let_585 _let_587 :args (_let_692 true _let_267 false _let_22 false _let_26 false _let_31 false _let_35 false _let_39 false _let_164 false _let_162 false _let_168 false _let_166 false _let_235 false _let_42 false _let_44 false _let_46 false _let_48 false _let_51 false _let_54 false _let_691 false _let_60 false _let_62 false _let_65 false _let_68 false _let_72 false _let_79 false _let_169 false _let_165 false _let_241 false _let_243 false _let_77 false _let_82 false _let_85 false _let_86 false _let_87 false _let_88 false _let_89 false _let_93 false _let_690 false _let_95 false _let_96 false _let_97 false _let_103 false _let_105 false _let_107 false _let_109 false _let_113 false _let_117 false _let_118 false _let_120 false _let_125 false _let_128 false _let_130 false _let_132 false _let_135 false _let_138 false _let_140 false _let_142 false _let_144 false _let_148 false _let_150 false _let_152 false _let_156 false _let_157 false _let_158 false _let_160 false _let_161 false _let_170 false _let_171 false _let_174 false _let_175 false _let_176 false _let_177 false _let_180 false _let_181 false _let_182 false _let_183 false _let_187 false _let_188 false _let_189 false _let_191 false _let_192 false _let_194 false _let_195 false _let_196 false _let_197 false _let_198 false _let_200 false _let_201 false _let_202 false _let_203 false _let_204 false _let_206 false _let_207 false _let_208 false _let_209 false _let_210 false _let_212 false _let_213 false _let_215 false _let_216 false _let_217 false _let_218 false _let_219 false _let_220 false _let_221 false _let_222 false _let_224 false _let_227 false _let_228 false _let_229 false _let_231 false _let_232 false _let_233 false _let_234 false _let_238 false _let_239)) _let_689 _let_591 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_588)) :args ((or _let_258 _let_577 _let_240 (not _let_588)))) _let_277 _let_584 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_519 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.c X0) (tptp.c X1))))) :args _let_520)) _let_519 :args (_let_588 false _let_518)) :args (_let_240 false _let_257 false _let_576 false _let_588)) _let_587 _let_585 _let_575 _let_512 _let_501 _let_488 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_295)) :args _let_293)) _let_294 :args (_let_223 false _let_11)) _let_453 _let_452 _let_447 _let_446 _let_445 _let_444 _let_443 _let_438 _let_437 _let_436 _let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41 QUANTIFIERS_INST_E_MATCHING _let_347)) :args _let_289))) _let_290 :args (_let_211 false _let_14)) _let_434 _let_433 _let_432 _let_431 _let_430 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_290 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 _let_114 QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_289)) _let_290 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% 0.88/1.05  )
% 0.88/1.05  % SZS output end Proof for KLE011+3
% 0.88/1.05  % cvc5---1.0.5 exiting
% 0.88/1.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------