TSTP Solution File: KLE010+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE010+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 05:26:49 EDT 2023
% Result : Theorem 2.82s 3.00s
% Output : Proof 2.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE010+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:32:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 2.82/3.00 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qJVUhxYfNq/cvc5---1.0.5_7796.p...
% 2.82/3.00 ------- get file name : TPTP file name is KLE010+4
% 2.82/3.00 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7796.smt2...
% 2.82/3.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.82/3.00 % SZS status Theorem for KLE010+4
% 2.82/3.00 % SZS output start Proof for KLE010+4
% 2.82/3.00 (
% 2.82/3.00 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication _let_1 X0)) (tptp.multiplication X0 X1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1)))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 tptp.one)))))))))) (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 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_5 (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_6 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (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_3))) (let ((_let_20 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.multiplication _let_20 _let_19))) (let ((_let_22 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (tptp.addition _let_25 _let_24))) (let ((_let_27 (tptp.addition _let_26 _let_23))) (let ((_let_28 (tptp.addition _let_27 _let_22))) (let ((_let_29 (tptp.addition _let_28 _let_21))) (let ((_let_30 (tptp.leq _let_29 tptp.one))) (let ((_let_31 (tptp.leq tptp.one _let_29))) (let ((_let_32 (and _let_31 _let_30))) (let ((_let_33 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_32))) (let ((_let_38 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X1 X0) (tptp.multiplication _let_1 X0)) (tptp.multiplication X0 X1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 tptp.one))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (tptp.c _let_29))) (let ((_let_45 (tptp.c _let_44))) (let ((_let_46 (tptp.leq _let_45 _let_45))) (let ((_let_47 (= tptp.zero (tptp.multiplication _let_28 tptp.zero)))) (let ((_let_48 (tptp.multiplication _let_23 tptp.zero))) (let ((_let_49 (= (tptp.multiplication _let_27 tptp.zero) (tptp.addition (tptp.multiplication _let_26 tptp.zero) _let_48)))) (let ((_let_50 (tptp.multiplication _let_24 _let_21))) (let ((_let_51 (tptp.multiplication _let_22 _let_21))) (let ((_let_52 (tptp.addition _let_22 _let_24))) (let ((_let_53 (= (tptp.multiplication _let_52 _let_21) (tptp.addition _let_51 _let_50)))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_55 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_56 (= (tptp.multiplication _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_54)))) (let ((_let_57 (tptp.addition _let_23 _let_22))) (let ((_let_58 (tptp.multiplication _let_57 _let_19))) (let ((_let_59 (tptp.multiplication _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (tptp.addition _let_59 _let_58))) (let ((_let_61 (= (tptp.multiplication _let_60 _let_24) (tptp.addition (tptp.multiplication _let_59 _let_24) (tptp.multiplication _let_58 _let_24))))) (let ((_let_62 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_63 (= (tptp.multiplication _let_19 _let_55) (tptp.addition _let_24 _let_62)))) (let ((_let_64 (tptp.multiplication _let_25 _let_22))) (let ((_let_65 (tptp.multiplication _let_25 _let_23))) (let ((_let_66 (tptp.addition _let_65 _let_64))) (let ((_let_67 (= (tptp.multiplication _let_20 _let_66) (tptp.addition (tptp.multiplication _let_20 _let_65) (tptp.multiplication _let_20 _let_64))))) (let ((_let_68 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_69 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26))) (let ((_let_71 (tptp.multiplication _let_20 _let_70))) (let ((_let_72 (tptp.multiplication _let_70 _let_22))) (let ((_let_73 (= (tptp.multiplication _let_20 _let_72) (tptp.multiplication _let_71 _let_22)))) (let ((_let_74 (tptp.multiplication _let_27 _let_21))) (let ((_let_75 (tptp.multiplication _let_21 _let_27))) (let ((_let_76 (= (tptp.multiplication _let_75 _let_21) (tptp.multiplication _let_21 _let_74)))) (let ((_let_77 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_78 (= _let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_77)))) (let ((_let_79 (tptp.multiplication _let_22 _let_23))) (let ((_let_80 (tptp.multiplication _let_22 _let_25))) (let ((_let_81 (= (tptp.multiplication _let_80 _let_79) (tptp.multiplication _let_22 (tptp.multiplication _let_25 _let_79))))) (let ((_let_82 (tptp.multiplication _let_21 _let_22))) (let ((_let_83 (tptp.multiplication _let_21 _let_23))) (let ((_let_84 (= (tptp.multiplication _let_83 _let_82) (tptp.multiplication _let_21 (tptp.multiplication _let_23 _let_82))))) (let ((_let_85 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_86 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85))) (let ((_let_87 (= (tptp.multiplication _let_24 _let_85) (tptp.multiplication _let_19 _let_86)))) (let ((_let_88 (tptp.multiplication _let_22 _let_19))) (let ((_let_89 (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_90 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (= (tptp.multiplication _let_88 _let_90) (tptp.multiplication _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_92 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_93 (= (tptp.multiplication _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_62)))) (let ((_let_94 (tptp.addition _let_24 _let_57))) (let ((_let_95 (tptp.multiplication _let_94 _let_21))) (let ((_let_96 (tptp.multiplication _let_25 _let_21))) (let ((_let_97 (= (tptp.multiplication _let_96 _let_95) (tptp.multiplication _let_25 (tptp.multiplication _let_21 _let_95))))) (let ((_let_98 (= (tptp.multiplication _let_20 (tptp.multiplication _let_19 _let_96)) (tptp.multiplication _let_21 _let_96)))) (let ((_let_99 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_100 (tptp.multiplication _let_24 _let_20))) (let ((_let_101 (= _let_100 (tptp.multiplication _let_19 _let_99)))) (let ((_let_102 (= (tptp.multiplication _let_75 _let_82) (tptp.multiplication _let_21 (tptp.multiplication _let_27 _let_82))))) (let ((_let_103 (tptp.multiplication _let_21 _let_28))) (let ((_let_104 (tptp.multiplication _let_28 _let_21))) (let ((_let_105 (= (tptp.multiplication _let_21 _let_104) (tptp.multiplication _let_103 _let_21)))) (let ((_let_106 (= (tptp.multiplication _let_70 _let_79) (tptp.multiplication _let_72 _let_23)))) (let ((_let_107 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_108 (= _let_107 (tptp.multiplication _let_99 _let_19)))) (let ((_let_109 (tptp.multiplication _let_82 _let_21))) (let ((_let_110 (tptp.multiplication _let_82 _let_83))) (let ((_let_111 (= _let_110 (tptp.multiplication _let_109 _let_23)))) (let ((_let_112 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_113 (= (tptp.multiplication tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27)) (tptp.multiplication _let_112 _let_27)))) (let ((_let_114 (= _let_50 (tptp.multiplication _let_100 _let_19)))) (let ((_let_115 (= (tptp.multiplication tptp.zero _let_25) (tptp.multiplication _let_112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_116 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_117 (tptp.multiplication _let_116 _let_27))) (let ((_let_118 (tptp.multiplication tptp.zero _let_117))) (let ((_let_119 (= _let_118 (tptp.multiplication (tptp.multiplication tptp.zero _let_116) _let_27)))) (let ((_let_120 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_92) (tptp.multiplication _let_90 _let_19)))) (let ((_let_121 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24))) (let ((_let_122 (tptp.multiplication _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_123 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_122) (tptp.multiplication _let_121 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_124 (tptp.multiplication _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_125 (= (tptp.multiplication tptp.one _let_124) (tptp.multiplication (tptp.multiplication tptp.one _let_116) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_126 (tptp.multiplication _let_19 _let_26))) (let ((_let_127 (tptp.multiplication _let_20 _let_126))) (let ((_let_128 (= (tptp.multiplication _let_83 _let_127) (tptp.multiplication (tptp.multiplication _let_83 _let_20) _let_126)))) (let ((_let_129 (= (tptp.multiplication _let_96 _let_21) (tptp.multiplication (tptp.multiplication _let_96 _let_20) _let_19)))) (let ((_let_130 (= (tptp.multiplication _let_19 _let_124) (tptp.multiplication (tptp.multiplication _let_19 _let_116) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_131 (tptp.multiplication _let_20 _let_121))) (let ((_let_132 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_131) (tptp.multiplication _let_99 _let_121)))) (let ((_let_133 (tptp.multiplication _let_23 _let_19))) (let ((_let_134 (tptp.multiplication _let_19 _let_20))) (let ((_let_135 (= (tptp.multiplication _let_23 _let_134) (tptp.multiplication _let_133 _let_20)))) (let ((_let_136 (= (tptp.multiplication _let_82 _let_75) (tptp.multiplication _let_109 _let_27)))) (let ((_let_137 (tptp.addition _let_25 _let_25))) (let ((_let_138 (= _let_25 _let_137))) (let ((_let_139 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_140 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_140))) (let ((_let_142 (= _let_141 (tptp.addition _let_141 tptp.zero)))) (let ((_let_143 (= _let_59 (tptp.addition _let_59 tptp.zero)))) (let ((_let_144 (tptp.multiplication _let_21 _let_26))) (let ((_let_145 (= _let_144 (tptp.addition _let_144 tptp.zero)))) (let ((_let_146 (= _let_83 (tptp.addition _let_83 tptp.zero)))) (let ((_let_147 (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_148 (= _let_147 (tptp.addition _let_147 tptp.zero)))) (let ((_let_149 (tptp.multiplication _let_24 _let_23))) (let ((_let_150 (= _let_149 (tptp.addition _let_149 tptp.zero)))) (let ((_let_151 (= _let_75 (tptp.addition _let_75 tptp.zero)))) (let ((_let_152 (tptp.addition _let_79 _let_80))) (let ((_let_153 (= (tptp.addition _let_79 (tptp.addition _let_80 _let_75)) (tptp.addition _let_152 _let_75)))) (let ((_let_154 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_155 (tptp.addition _let_92 _let_154))) (let ((_let_156 (= (tptp.addition _let_92 (tptp.addition _let_154 _let_154)) (tptp.addition _let_155 _let_154)))) (let ((_let_157 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_158 (tptp.addition _let_24 _let_23))) (let ((_let_159 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_158) (tptp.addition _let_157 _let_23)))) (let ((_let_160 (tptp.addition _let_25 _let_26))) (let ((_let_161 (= _let_160 (tptp.addition _let_137 _let_24)))) (let ((_let_162 (tptp.addition _let_25 _let_23))) (let ((_let_163 (tptp.multiplication _let_22 _let_162))) (let ((_let_164 (= (tptp.addition _let_163 _let_75) (tptp.addition _let_75 _let_163)))) (let ((_let_165 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25))) (let ((_let_166 (tptp.addition _let_165 _let_24))) (let ((_let_167 (= _let_166 (tptp.addition _let_24 _let_165)))) (let ((_let_168 (tptp.addition _let_26 _let_25))) (let ((_let_169 (= _let_168 _let_160))) (let ((_let_170 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25))) (let ((_let_171 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_170) (tptp.addition _let_170 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_172 (tptp.multiplication _let_20 _let_117))) (let ((_let_173 (tptp.addition _let_172 _let_118))) (let ((_let_174 (= _let_173 (tptp.addition _let_118 _let_172)))) (let ((_let_175 (tptp.multiplication _let_23 _let_21))) (let ((_let_176 (tptp.addition _let_24 _let_22))) (let ((_let_177 (tptp.multiplication _let_176 _let_21))) (let ((_let_178 (tptp.addition _let_175 _let_177))) (let ((_let_179 (= _let_178 (tptp.addition _let_177 _let_175)))) (let ((_let_180 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_181 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_182 (tptp.addition _let_180 _let_181))) (let ((_let_183 (= _let_182 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_195 (tptp.multiplication _let_20 _let_194))) (let ((_let_196 (tptp.addition _let_20 tptp.zero))) (let ((_let_197 (= (tptp.multiplication _let_196 _let_194) (tptp.addition _let_195 (tptp.multiplication tptp.zero _let_194))))) (let ((_let_198 (= (tptp.multiplication _let_196 _let_117) _let_173))) (let ((_let_199 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_200 (tptp.multiplication _let_20 _let_199))) (let ((_let_201 (= (tptp.multiplication _let_196 _let_199) (tptp.addition _let_200 (tptp.multiplication tptp.zero _let_199))))) (let ((_let_202 (tptp.multiplication _let_22 _let_26))) (let ((_let_203 (tptp.addition _let_22 _let_21))) (let ((_let_204 (tptp.multiplication _let_203 _let_26))) (let ((_let_205 (= _let_204 (tptp.addition _let_202 _let_144)))) (let ((_let_206 (= (tptp.multiplication _let_57 _let_25) (tptp.addition (tptp.multiplication _let_23 _let_25) _let_80)))) (let ((_let_207 (tptp.addition _let_23 _let_176))) (let ((_let_208 (= (tptp.multiplication _let_207 _let_21) _let_178))) (let ((_let_209 (tptp.multiplication _let_26 _let_21))) (let ((_let_210 (= _let_209 (tptp.addition _let_96 _let_50)))) (let ((_let_211 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_212 (tptp.multiplication _let_19 _let_211))) (let ((_let_213 (tptp.addition _let_19 tptp.zero))) (let ((_let_214 (= (tptp.multiplication _let_213 _let_211) (tptp.addition _let_212 (tptp.multiplication tptp.zero _let_211))))) (let ((_let_215 (= (tptp.multiplication _let_196 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_182))) (let ((_let_216 (tptp.multiplication _let_203 _let_23))) (let ((_let_217 (= _let_216 (tptp.addition _let_79 _let_83)))) (let ((_let_218 (= (tptp.multiplication _let_57 _let_21) (tptp.addition _let_175 _let_51)))) (let ((_let_219 (= (tptp.multiplication _let_213 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_62 _let_112)))) (let ((_let_220 (= (tptp.multiplication _let_213 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_24 _let_181)))) (let ((_let_221 (= (tptp.multiplication _let_57 _let_116) _let_60))) (let ((_let_222 (tptp.multiplication _let_26 _let_20))) (let ((_let_223 (= (tptp.multiplication _let_26 _let_85) (tptp.addition _let_147 _let_222)))) (let ((_let_224 (= (tptp.multiplication _let_22 _let_116) (tptp.addition (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_88)))) (let ((_let_225 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_226 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57) (tptp.addition _let_211 _let_225)))) (let ((_let_227 (tptp.addition _let_23 _let_25))) (let ((_let_228 (= _let_152 (tptp.multiplication _let_22 _let_227)))) (let ((_let_229 (tptp.multiplication _let_21 _let_25))) (let ((_let_230 (= _let_144 (tptp.addition _let_229 (tptp.multiplication _let_21 _let_24))))) (let ((_let_231 (= (tptp.multiplication _let_23 _let_213) (tptp.addition _let_133 _let_48)))) (let ((_let_232 (= (tptp.multiplication _let_25 _let_57) _let_66))) (let ((_let_233 (tptp.multiplication _let_211 _let_116))) (let ((_let_234 (= _let_233 (tptp.addition (tptp.multiplication _let_211 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_211 _let_19))))) (let ((_let_235 (tptp.multiplication _let_24 _let_22))) (let ((_let_236 (= (tptp.multiplication _let_24 _let_57) (tptp.addition _let_149 _let_235)))) (let ((_let_237 (tptp.addition _let_83 _let_82))) (let ((_let_238 (tptp.multiplication _let_21 _let_57))) (let ((_let_239 (= _let_238 _let_237))) (let ((_let_240 (tptp.addition _let_144 _let_83))) (let ((_let_241 (= (tptp.multiplication _let_82 _let_240) (tptp.addition (tptp.multiplication _let_82 _let_144) _let_110)))) (let ((_let_242 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_213) _let_155))) (let ((_let_243 (= _let_20 (tptp.multiplication tptp.one _let_20)))) (let ((_let_244 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_245 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.one)))) (let ((_let_246 (= _let_116 (tptp.multiplication _let_116 tptp.one)))) (let ((_let_247 (= _let_203 (tptp.multiplication _let_203 tptp.one)))) (let ((_let_248 (= _let_21 (tptp.multiplication _let_21 tptp.one)))) (let ((_let_249 (= _let_22 (tptp.multiplication _let_22 tptp.one)))) (let ((_let_250 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_251 (= _let_19 (tptp.multiplication _let_19 tptp.one)))) (let ((_let_252 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_253 (tptp.multiplication _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_254 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116))) (let ((_let_255 (tptp.multiplication _let_85 _let_254))) (let ((_let_256 (= _let_255 (tptp.multiplication _let_253 _let_116)))) (let ((_let_257 (= (tptp.multiplication _let_116 _let_86) (tptp.multiplication _let_124 _let_85)))) (let ((_let_258 (tptp.multiplication _let_19 _let_25))) (let ((_let_259 (= _let_229 (tptp.multiplication _let_20 _let_258)))) (let ((_let_260 (= _let_80 (tptp.multiplication _let_20 _let_170)))) (let ((_let_261 (tptp.multiplication _let_22 _let_24))) (let ((_let_262 (= _let_261 _let_131))) (let ((_let_263 (= _let_144 _let_127))) (let ((_let_264 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_265 (= _let_140 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_264)))) (let ((_let_266 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_267 (= _let_133 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_266)))) (let ((_let_268 (= _let_96 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_107)))) (let ((_let_269 (= _let_64 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_225)))) (let ((_let_270 (= _let_235 (tptp.multiplication _let_19 _let_225)))) (let ((_let_271 (= (tptp.multiplication _let_116 _let_99) (tptp.multiplication _let_124 _let_20)))) (let ((_let_272 (= _let_122 (tptp.multiplication _let_19 _let_90)))) (let ((_let_273 (tptp.multiplication _let_90 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_274 (= (tptp.multiplication _let_90 _let_254) (tptp.multiplication _let_273 _let_116)))) (let ((_let_275 (= _let_238 (tptp.multiplication _let_20 (tptp.multiplication _let_19 _let_57))))) (let ((_let_276 (= (tptp.multiplication _let_21 (tptp.multiplication _let_28 _let_82)) (tptp.multiplication _let_103 _let_82)))) (let ((_let_277 (tptp.multiplication _let_26 _let_22))) (let ((_let_278 (tptp.multiplication _let_22 _let_277))) (let ((_let_279 (tptp.multiplication _let_23 _let_22))) (let ((_let_280 (= (tptp.multiplication _let_279 _let_277) (tptp.multiplication _let_23 _let_278)))) (let ((_let_281 (tptp.multiplication _let_254 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_282 (= (tptp.multiplication _let_85 _let_281) (tptp.multiplication _let_255 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_283 (= _let_225 (tptp.multiplication _let_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_284 (= _let_229 (tptp.multiplication (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_285 (= (tptp.multiplication _let_203 _let_124) (tptp.multiplication (tptp.multiplication _let_203 _let_116) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_286 (= _let_261 _let_89))) (let ((_let_287 (= _let_170 (tptp.multiplication _let_264 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_288 (= _let_199 (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_289 (tptp.multiplication _let_19 _let_22))) (let ((_let_290 (= _let_289 (tptp.multiplication _let_134 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_291 (tptp.multiplication _let_20 _let_116))) (let ((_let_292 (= (tptp.multiplication _let_26 _let_291) (tptp.multiplication _let_222 _let_116)))) (let ((_let_293 (= _let_209 (tptp.multiplication _let_222 _let_19)))) (let ((_let_294 (= _let_258 (tptp.multiplication _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_295 (= _let_121 (tptp.multiplication _let_266 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_296 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116))) (let ((_let_297 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_124) (tptp.multiplication _let_296 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_298 (= (tptp.multiplication _let_116 _let_23) (tptp.multiplication _let_124 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_299 (tptp.multiplication _let_23 _let_116))) (let ((_let_300 (= _let_233 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_299)))) (let ((_let_301 (= _let_216 (tptp.multiplication (tptp.multiplication _let_203 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_302 (= (tptp.multiplication _let_21 _let_253) (tptp.multiplication (tptp.multiplication _let_21 _let_85) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_303 (= (tptp.multiplication _let_202 _let_79) (tptp.multiplication (tptp.multiplication _let_202 _let_22) _let_23)))) (let ((_let_304 (= _let_44 (tptp.addition _let_44 _let_44)))) (let ((_let_305 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_306 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_305))) (let ((_let_307 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_308 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_309 (= _let_308 (tptp.addition _let_308 tptp.zero)))) (let ((_let_310 (= (tptp.addition _let_144 _let_237) (tptp.addition _let_240 _let_82)))) (let ((_let_311 (tptp.addition _let_209 _let_175))) (let ((_let_312 (= (tptp.addition _let_51 _let_311) (tptp.addition (tptp.addition _let_51 _let_209) _let_175)))) (let ((_let_313 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26) _let_166))) (let ((_let_314 (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_315 (tptp.addition _let_314 _let_122))) (let ((_let_316 (= _let_315 (tptp.addition _let_122 _let_314)))) (let ((_let_317 (tptp.multiplication _let_22 _let_27))) (let ((_let_318 (tptp.addition _let_317 _let_75))) (let ((_let_319 (= _let_318 (tptp.addition _let_75 _let_317)))) (let ((_let_320 (tptp.addition _let_23 _let_92))) (let ((_let_321 (= _let_320 (tptp.addition _let_92 _let_23)))) (let ((_let_322 (= _let_52 _let_176))) (let ((_let_323 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26) (tptp.addition _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_324 (= _let_157 (tptp.addition _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_325 (= _let_165 (tptp.addition _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_326 (= tptp.zero (tptp.multiplication tptp.zero _let_19)))) (let ((_let_327 (= tptp.zero (tptp.multiplication tptp.zero _let_20)))) (let ((_let_328 (= tptp.zero (tptp.multiplication _let_20 tptp.zero)))) (let ((_let_329 (= tptp.zero (tptp.multiplication _let_19 tptp.zero)))) (let ((_let_330 (= (tptp.addition _let_308 _let_308) (tptp.multiplication _let_305 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_331 (= _let_147 _let_315))) (let ((_let_332 (= _let_74 _let_311))) (let ((_let_333 (= _let_277 (tptp.addition _let_64 _let_235)))) (let ((_let_334 (tptp.multiplication _let_203 _let_27))) (let ((_let_335 (= _let_334 _let_318))) (let ((_let_336 (= _let_70 (tptp.addition _let_170 _let_121)))) (let ((_let_337 (= _let_75 _let_240))) (let ((_let_338 (= _let_296 _let_320))) (let ((_let_339 (= _let_334 (tptp.addition _let_204 _let_216)))) (let ((_let_340 (= _let_299 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_254)))) (let ((_let_341 (= _let_202 _let_71))) (let ((_let_342 (= (tptp.multiplication _let_116 _let_225) (tptp.multiplication _let_124 _let_22)))) (let ((_let_343 (= _let_65 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_211)))) (let ((_let_344 (= _let_149 _let_212))) (let ((_let_345 (= (tptp.multiplication _let_85 _let_70) (tptp.multiplication _let_253 _let_26)))) (let ((_let_346 (= _let_79 _let_200))) (let ((_let_347 (= _let_172 (tptp.multiplication _let_291 _let_27)))) (let ((_let_348 (= _let_51 _let_195))) (let ((_let_349 (= _let_82 (tptp.multiplication _let_20 _let_289)))) (let ((_let_350 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_124) _let_281))) (let ((_let_351 (= _let_211 _let_273))) (let ((_let_352 (= (tptp.multiplication _let_20 _let_308) (tptp.multiplication (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_353 (tptp.multiplication _let_28 _let_19))) (let ((_let_354 (= (tptp.multiplication _let_28 _let_134) (tptp.multiplication _let_353 _let_20)))) (let ((_let_355 (= _let_20 _let_196))) (let ((_let_356 (= _let_19 _let_213))) (let ((_let_357 (tptp.addition _let_23 _let_24))) (let ((_let_358 (= _let_207 (tptp.addition _let_357 _let_22)))) (let ((_let_359 (= (tptp.addition _let_158 _let_22) _let_94))) (let ((_let_360 (tptp.addition _let_74 _let_51))) (let ((_let_361 (= _let_360 (tptp.addition _let_51 _let_74)))) (let ((_let_362 (tptp.addition _let_202 _let_79))) (let ((_let_363 (= _let_362 (tptp.addition _let_79 _let_202)))) (let ((_let_364 (= _let_227 _let_162))) (let ((_let_365 (= _let_85 (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_366 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_367 (= _let_134 (tptp.c _let_366)))) (let ((_let_368 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_184))) (let ((_let_369 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_370 (= tptp.one _let_369))) (let ((_let_371 (= tptp.zero _let_308))) (let ((_let_372 (= tptp.zero _let_54))) (let ((_let_373 (= tptp.one _let_189))) (let ((_let_374 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_375 (= tptp.zero _let_185))) (let ((_let_376 (= _let_57 _let_253))) (let ((_let_377 (= _let_104 _let_360))) (let ((_let_378 (= _let_203 _let_291))) (let ((_let_379 (= _let_317 _let_362))) (let ((_let_380 (= _let_103 (tptp.addition _let_75 _let_82)))) (let ((_let_381 (tptp.addition _let_27 _let_203))) (let ((_let_382 (= _let_381 (tptp.addition _let_203 _let_27)))) (let ((_let_383 (= _let_158 _let_357))) (let ((_let_384 (= (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20)))) (let ((_let_385 (= _let_55 _let_366))) (let ((_let_386 (= _let_21 (tptp.c _let_55)))) (let ((_let_387 (= _let_26 _let_124))) (let ((_let_388 (= _let_29 _let_381))) (let ((_let_389 (= _let_28 (tptp.addition _let_26 _let_57)))) (let ((_let_390 (= _let_26 (tptp.addition _let_24 _let_25)))) (let ((_let_391 (= _let_45 (tptp.addition _let_45 _let_45)))) (let ((_let_392 (= _let_391 _let_46))) (let ((_let_393 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_394 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_395 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_396 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_397 (_let_395))) (let ((_let_398 ((tptp.addition A A)))) (let ((_let_399 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_392)) :args ((or (not _let_391) _let_46 (not _let_392)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (_let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_391 false _let_395)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_45 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args (_let_393)))) _let_394 :args (_let_392 false _let_393)) :args (_let_46 false _let_391 false _let_392)))) (let ((_let_400 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_401 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_402 (_let_400))) (let ((_let_403 ((not (= (tptp.multiplication A tptp.zero) tptp.zero))))) (let ((_let_404 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_403)) :args _let_402)) _let_401 :args (_let_47 false _let_400)))) (let ((_let_405 (_let_10))) (let ((_let_406 (ASSUME :args _let_405))) (let ((_let_407 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_408 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_26 _let_23 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_49 false _let_10)))) (let ((_let_409 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_22 _let_24 _let_21 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_53 false _let_10)))) (let ((_let_410 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_56 false _let_10)))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_59 _let_58 _let_24 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_61 false _let_10)))) (let ((_let_412 (_let_11))) (let ((_let_413 (ASSUME :args _let_412))) (let ((_let_414 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_415 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_63 false _let_11)))) (let ((_let_416 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_20 _let_65 _let_64 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_67 false _let_11)))) (let ((_let_417 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_418 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_419 (_let_417))) (let ((_let_420 ((tptp.multiplication tptp.one A)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_418 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_420)) :args _let_419)) _let_418 :args (_let_68 false _let_417)))) (let ((_let_422 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_423 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_424 (_let_422))) (let ((_let_425 ((tptp.multiplication A tptp.one)))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_69 false _let_422)))) (let ((_let_427 (_let_14))) (let ((_let_428 (ASSUME :args _let_427))) (let ((_let_429 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_70 _let_22 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_73 false _let_14)))) (let ((_let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_27 _let_21 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_76 false _let_14)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_78 false _let_14)))) (let ((_let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_22 _let_25 _let_79 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_81 false _let_14)))) (let ((_let_434 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_23 _let_82 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_84 false _let_14)))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_87 false _let_14)))) (let ((_let_436 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_91 false _let_14)))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_93 false _let_14)))) (let ((_let_438 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_25 _let_21 _let_95 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_97 false _let_14)))) (let ((_let_439 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_19 _let_96 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_98 false _let_14)))) (let ((_let_440 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_101 false _let_14)))) (let ((_let_441 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_27 _let_82 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_102 false _let_14)))) (let ((_let_442 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_443 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_28 _let_21 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_105 false _let_14)))) (let ((_let_444 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_70 _let_22 _let_23 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_106 false _let_14)))) (let ((_let_445 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 _let_19 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_108 false _let_14)))) (let ((_let_446 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_82 _let_21 _let_23 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_111 false _let_14)))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_113 false _let_14)))) (let ((_let_448 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_24 _let_20 _let_19 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_114 false _let_14)))) (let ((_let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_115 false _let_14)))) (let ((_let_450 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.zero _let_116 _let_27 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_119 false _let_14)))) (let ((_let_451 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_120 false _let_14)))) (let ((_let_452 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_123 false _let_14)))) (let ((_let_453 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.one _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_125 false _let_14)))) (let ((_let_454 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_83 _let_20 _let_126 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_128 false _let_14)))) (let ((_let_455 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_96 _let_20 _let_19 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_129 false _let_14)))) (let ((_let_456 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_130 false _let_14)))) (let ((_let_457 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 _let_121 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_132 false _let_14)))) (let ((_let_458 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_23 _let_19 _let_20 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_135 false _let_14)))) (let ((_let_459 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_82 _let_21 _let_27 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_136 false _let_14)))) (let ((_let_460 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_138 false _let_395)))) (let ((_let_461 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_139 false _let_395)))) (let ((_let_462 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_463 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_464 (_let_462))) (let ((_let_465 ((tptp.addition A tptp.zero)))) (let ((_let_466 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_141 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_142 false _let_462)))) (let ((_let_467 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_143 false _let_462)))) (let ((_let_468 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_144 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_145 false _let_462)))) (let ((_let_469 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_83 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_146 false _let_462)))) (let ((_let_470 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_147 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_148 false _let_462)))) (let ((_let_471 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_149 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_150 false _let_462)))) (let ((_let_472 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_151 false _let_462)))) (let ((_let_473 (_let_17))) (let ((_let_474 (ASSUME :args _let_473))) (let ((_let_475 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_476 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_75 _let_80 _let_79 QUANTIFIERS_INST_E_MATCHING _let_475)) :args _let_473)) _let_474 :args (_let_153 false _let_17)))) (let ((_let_477 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_154 _let_154 _let_92 QUANTIFIERS_INST_E_MATCHING _let_475)) :args _let_473)) _let_474 :args (_let_156 false _let_17)))) (let ((_let_478 ((tptp.addition A (tptp.addition B C))))) (let ((_let_479 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_23 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_478)) :args _let_473)) _let_474 :args (_let_159 false _let_17)))) (let ((_let_480 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_24 _let_25 _let_25 QUANTIFIERS_INST_E_MATCHING _let_478)) :args _let_473)) _let_474 :args (_let_161 false _let_17)))) (let ((_let_481 (_let_18))) (let ((_let_482 (ASSUME :args _let_481))) (let ((_let_483 ((tptp.addition A B)))) (let ((_let_484 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_163 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_164 false _let_18)))) (let ((_let_485 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_165 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_167 false _let_18)))) (let ((_let_486 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_26 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_169 false _let_18)))) (let ((_let_487 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_170 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_171 false _let_18)))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_172 _let_118 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_174 false _let_18)))) (let ((_let_489 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_175 _let_177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_179 false _let_18)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_180 _let_181 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_183 false _let_18)))) (let ((_let_491 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_492 (not _let_491))) (let ((_let_493 (or _let_34 _let_492 _let_186))) (let ((_let_494 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) 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:args ((or _let_522 _let_513 (not _let_515)))) _let_524 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_509 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_510)) _let_509 :args (_let_515 false _let_508)) :args (_let_513 false _let_514 false _let_515)))) (let ((_let_526 (not _let_513))) (let ((_let_527 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_513 2)) :args ((or _let_373 _let_526))) _let_525 :args (_let_373 false _let_513)))) (let ((_let_528 (not _let_373))) (let ((_let_529 (and _let_373 _let_512))) (let ((_let_530 (ASSUME :args (_let_512)))) (let ((_let_531 (ASSUME :args (_let_373)))) (let ((_let_532 (SYMM _let_531))) (let ((_let_533 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_513 1)) :args ((or _let_374 _let_526))) _let_525 :args (_let_374 false _let_513)))) (let ((_let_534 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_513 0)) :args ((or _let_375 _let_526))) _let_525 :args (_let_375 false _let_513)))) (let ((_let_535 (not _let_374))) (let ((_let_536 (not _let_375))) (let ((_let_537 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_507)) :args ((or _let_503 (not _let_506) (not _let_507)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_506)) :args ((or _let_536 _let_535 _let_506 (not _let_505)))) _let_534 _let_533 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_529)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_530 _let_531) (SCOPE (TRANS (SYMM _let_532) (SYMM (SYMM _let_530))) :args (_let_512 _let_373))) :args (_let_373 _let_512))) :args (true _let_529)) :args ((or _let_528 _let_505 (not _let_512)))) _let_527 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_512 false _let_18)) 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(let ((_let_550 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_549)) :args ((or _let_36 _let_492 _let_188 (not _let_549)))) _let_547 _let_540 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_546)) :args _let_545)) _let_544 :args (_let_549 false _let_543)) :args (_let_188 false _let_35 false _let_491 false _let_549)))) (let ((_let_551 (or _let_34 _let_492 _let_190))) (let ((_let_552 ((tptp.addition X0 X1)))) (let ((_let_553 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_34 _let_492 _let_190 (not _let_551)))) _let_521 _let_540 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_545)) _let_544 :args (_let_551 false _let_543)) :args (_let_190 false _let_33 false _let_491 false _let_551)))) (let ((_let_554 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_555 (= _let_554 _let_191))) (let ((_let_556 (or _let_36 _let_555))) (let ((_let_557 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_558 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_559 (_let_557))) (let ((_let_560 ((tptp.complement X0 X1)))) (let ((_let_561 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_562 (= tptp.one _let_561))) (let ((_let_563 (and _let_371 _let_372 _let_562))) (let ((_let_564 (= _let_554 _let_563))) (let ((_let_565 (= _let_369 _let_561))) (let ((_let_566 (and _let_372 _let_371 _let_370))) (let ((_let_567 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_568 (= _let_567 _let_566))) (let ((_let_569 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_570 (not _let_569))) (let ((_let_571 (= _let_35 _let_570))) (let ((_let_572 (not _let_567))) (let ((_let_573 (_let_570))) (let ((_let_574 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_568)) :args ((or _let_572 _let_566 (not _let_568)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_573)) :args _let_573) (REWRITE :args ((=> _let_570 (not _let_572)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_570) _let_569))) (REFL :args (_let_567)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_571)) :args ((or _let_36 _let_570 (not _let_571)))) _let_547 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_502)) :args _let_501)) _let_500 :args (_let_571 false _let_499)) :args 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(REORDERING (CNF_AND_POS :args (_let_566 0)) :args ((or _let_372 _let_575))) _let_574 :args (_let_372 false _let_566)))) (let ((_let_585 (not _let_371))) (let ((_let_586 (not _let_372))) (let ((_let_587 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_555)) :args ((or (not _let_554) _let_191 (not _let_555)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_564)) :args ((or _let_554 (not _let_563) (not _let_564)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_563)) :args ((or _let_586 _let_585 _let_563 (not _let_562)))) _let_584 _let_583 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_578)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_579 _let_580) (SCOPE (TRANS _let_582 (SYMM (SYMM _let_579))) :args (_let_565 _let_370))) :args (_let_370 _let_565))) :args (true _let_578)) :args ((or _let_577 _let_562 (not _let_565)))) _let_576 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_565 false _let_18)) :args (_let_562 false _let_370 false _let_565)) :args (_let_563 false _let_372 false _let_371 false _let_562)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_509 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_509 :args (_let_564 false _let_508)) :args (_let_554 false _let_563 false _let_564)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_556)) :args ((or _let_36 _let_555 (not _let_556)))) _let_547 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559))) _let_558 :args (_let_556 false _let_557)) :args (_let_555 false _let_35 false _let_556)) :args (_let_191 false _let_554 false _let_555)))) (let ((_let_588 (= _let_503 _let_192))) (let ((_let_589 (or _let_34 _let_588))) (let ((_let_590 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_588)) :args ((or (not _let_503) _let_192 (not _let_588)))) _let_537 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_589)) :args ((or _let_34 _let_588 (not _let_589)))) _let_521 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559))) _let_558 :args (_let_589 false _let_557)) :args (_let_588 false _let_33 false _let_589)) :args (_let_192 false _let_503 false _let_588)))) (let ((_let_591 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_403)) :args _let_402)) _let_401 :args (_let_193 false _let_400)))) (let ((_let_592 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_20 tptp.zero _let_194 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_197 false _let_10)))) (let ((_let_593 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_20 tptp.zero _let_117 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_198 false _let_10)))) (let ((_let_594 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_20 tptp.zero _let_199 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_201 false _let_10)))) (let ((_let_595 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_22 _let_21 _let_26 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_205 false _let_10)))) (let ((_let_596 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_23 _let_22 _let_25 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_206 false _let_10)))) (let ((_let_597 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_23 _let_176 _let_21 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_208 false _let_10)))) (let ((_let_598 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_25 _let_24 _let_21 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_210 false _let_10)))) (let ((_let_599 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_19 tptp.zero _let_211 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_214 false _let_10)))) (let ((_let_600 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_20 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_215 false _let_10)))) (let ((_let_601 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_22 _let_21 _let_23 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_217 false _let_10)))) (let ((_let_602 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_23 _let_22 _let_21 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_218 false _let_10)))) (let ((_let_603 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_19 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_219 false _let_10)))) (let ((_let_604 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_19 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_220 false _let_10)))) (let ((_let_605 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_221 false _let_11)))) (let ((_let_606 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_223 false _let_11)))) (let ((_let_607 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_224 false _let_11)))) (let ((_let_608 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_226 false _let_11)))) (let ((_let_609 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_22 _let_23 _let_25 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412))) _let_413 :args (_let_228 false _let_11)))) (let ((_let_610 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_21 _let_25 _let_24 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_230 false _let_11)))) (let ((_let_611 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_23 _let_19 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_231 false _let_11)))) (let ((_let_612 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_25 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_232 false _let_11)))) (let ((_let_613 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_211 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_234 false _let_11)))) (let ((_let_614 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_24 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_236 false _let_11)))) (let ((_let_615 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_21 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_239 false _let_11)))) (let ((_let_616 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_82 _let_144 _let_83 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_241 false _let_11)))) (let ((_let_617 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_242 false _let_11)))) (let ((_let_618 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_418 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_420)) :args _let_419)) _let_418 :args (_let_243 false _let_417)))) (let ((_let_619 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_418 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_420)) :args _let_419)) _let_418 :args (_let_244 false _let_417)))) (let ((_let_620 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_245 false _let_422)))) (let ((_let_621 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_116 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_246 false _let_422)))) (let ((_let_622 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_203 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_247 false _let_422)))) (let ((_let_623 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_248 false _let_422)))) (let ((_let_624 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_249 false _let_422)))) (let ((_let_625 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_250 false _let_422)))) (let ((_let_626 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_251 false _let_422)))) (let ((_let_627 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_425)) :args _let_424)) _let_423 :args (_let_252 false _let_422)))) (let ((_let_628 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_256 false _let_14)))) (let ((_let_629 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_257 false _let_14)))) (let ((_let_630 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_19 _let_25 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_259 false _let_14)))) (let ((_let_631 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_260 false _let_14)))) (let ((_let_632 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_24 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_262 false _let_14)))) (let ((_let_633 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_19 _let_26 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_263 false _let_14)))) (let ((_let_634 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_265 false _let_14)))) (let ((_let_635 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_267 false _let_14)))) (let ((_let_636 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_268 false _let_14)))) (let ((_let_637 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_269 false _let_14)))) (let ((_let_638 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_270 false _let_14)))) (let ((_let_639 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_271 false _let_14)))) (let ((_let_640 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_272 false _let_14)))) (let ((_let_641 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_90 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_274 false _let_14)))) (let ((_let_642 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_19 _let_57 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_275 false _let_14)))) (let ((_let_643 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_28 _let_82 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_276 false _let_14)))) (let ((_let_644 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_23 _let_22 _let_277 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_280 false _let_14)))) (let ((_let_645 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_85 _let_254 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_282 false _let_14)))) (let ((_let_646 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_283 false _let_14)))) (let ((_let_647 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_284 false _let_14)))) (let ((_let_648 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_203 _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_285 false _let_14)))) (let ((_let_649 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_22 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_286 false _let_14)))) (let ((_let_650 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_287 false _let_14)))) (let ((_let_651 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_288 false _let_14)))) (let ((_let_652 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_290 false _let_14)))) (let ((_let_653 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_26 _let_20 _let_116 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_292 false _let_14)))) (let ((_let_654 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_26 _let_20 _let_19 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_293 false _let_14)))) (let ((_let_655 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_294 false _let_14)))) (let ((_let_656 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_295 false _let_14)))) (let ((_let_657 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_297 false _let_14)))) (let ((_let_658 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_298 false _let_14)))) (let ((_let_659 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 _let_116 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427))) _let_428 :args (_let_300 false _let_14)))) (let ((_let_660 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_203 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_301 false _let_14)))) (let ((_let_661 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_21 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_302 false _let_14)))) (let ((_let_662 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_202 _let_22 _let_23 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_303 false _let_14)))) (let ((_let_663 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (_let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_304 false _let_395)))) (let ((_let_664 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_306 false _let_395)))) (let ((_let_665 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_398)) :args _let_397)) _let_396 :args (_let_307 false _let_395)))) (let ((_let_666 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_308 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_309 false _let_462)))) (let ((_let_667 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_82 _let_83 _let_144 QUANTIFIERS_INST_E_MATCHING _let_475)) :args _let_473)) _let_474 :args (_let_310 false _let_17)))) (let ((_let_668 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_175 _let_209 _let_51 QUANTIFIERS_INST_E_MATCHING _let_478)) :args _let_473)) _let_474 :args (_let_312 false _let_17)))) (let ((_let_669 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_24 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_478)) :args _let_473)) _let_474 :args (_let_313 false _let_17)))) (let ((_let_670 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_314 _let_122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_316 false _let_18)))) (let ((_let_671 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_317 _let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_319 false _let_18)))) (let ((_let_672 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_23 _let_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_321 false _let_18)))) (let ((_let_673 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_24 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481))) _let_482 :args (_let_322 false _let_18)))) (let ((_let_674 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_323 false _let_18)))) (let ((_let_675 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_324 false _let_18)))) (let ((_let_676 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_325 false _let_18)))) (let ((_let_677 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_678 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_679 (_let_677))) (let ((_let_680 ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) (let ((_let_681 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_678 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_680)) :args _let_679)) _let_678 :args (_let_326 false _let_677)))) (let ((_let_682 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_678 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_680)) :args _let_679)) _let_678 :args (_let_327 false _let_677)))) (let ((_let_683 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_403)) :args _let_402)) _let_401 :args (_let_328 false _let_400)))) (let ((_let_684 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_403)) :args _let_402)) _let_401 :args (_let_329 false _let_400)))) (let ((_let_685 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_686 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_406 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_685)) :args _let_405))) _let_406 :args (_let_330 false _let_10)))) (let ((_let_687 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_25 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_331 false _let_10)))) (let ((_let_688 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_26 _let_23 _let_21 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_332 false _let_10)))) (let ((_let_689 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_25 _let_24 _let_22 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_333 false _let_10)))) (let ((_let_690 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_406 :args (_let_22 _let_21 _let_27 QUANTIFIERS_INST_E_MATCHING _let_407)) :args _let_405)) _let_406 :args (_let_335 false _let_10)))) (let ((_let_691 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_25 _let_24 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_336 false _let_11)))) (let ((_let_692 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_21 _let_26 _let_23 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_337 false _let_11)))) (let ((_let_693 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_338 false _let_11)))) (let ((_let_694 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (_let_203 _let_26 _let_23 QUANTIFIERS_INST_E_MATCHING _let_414)) :args _let_412)) _let_413 :args (_let_339 false _let_11)))) (let ((_let_695 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_340 false _let_14)))) (let ((_let_696 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_341 false _let_14)))) (let ((_let_697 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_342 false _let_14)))) (let ((_let_698 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_343 false _let_14)))) (let ((_let_699 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_344 false _let_14)))) (let ((_let_700 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_345 false _let_14)))) (let ((_let_701 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_346 false _let_14)))) (let ((_let_702 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_116 _let_27 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427)) _let_428 :args (_let_347 false _let_14)))) (let ((_let_703 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_348 false _let_14)))) (let ((_let_704 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 _let_19 _let_22 QUANTIFIERS_INST_E_MATCHING _let_429)) :args _let_427))) _let_428 :args (_let_349 false _let_14)))) (let ((_let_705 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_350 false _let_14)))) (let ((_let_706 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_351 false _let_14)))) (let ((_let_707 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_352 false _let_14)))) (let ((_let_708 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (_let_28 _let_19 _let_20 QUANTIFIERS_INST_E_MATCHING _let_442)) :args _let_427)) _let_428 :args (_let_354 false _let_14)))) (let ((_let_709 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_355 false _let_462)))) (let ((_let_710 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) _let_463 :args (_let_356 false _let_462)))) (let ((_let_711 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_22 _let_24 _let_23 QUANTIFIERS_INST_E_MATCHING _let_475)) :args _let_473)) _let_474 :args (_let_358 false _let_17)))) (let ((_let_712 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_474 :args (_let_22 _let_23 _let_24 QUANTIFIERS_INST_E_MATCHING _let_478)) :args _let_473))) _let_474 :args (_let_359 false _let_17)))) (let ((_let_713 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_74 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_361 false _let_18)))) (let ((_let_714 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_202 _let_79 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_363 false _let_18)))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_482 :args (_let_25 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481))) _let_482 :args (_let_364 false _let_18)))) (let ((_let_716 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_481)) _let_482 :args (_let_365 false _let_18)))) (let ((_let_717 (or _let_36 _let_34 _let_367))) (let ((_let_718 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_717)) :args ((or _let_36 _let_34 _let_367 (not _let_717)))) _let_547 _let_521 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_544 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_545))) _let_544 :args (_let_717 false _let_543)) :args (_let_367 false _let_35 false _let_33 false _let_717)))) (let ((_let_719 (= _let_514 _let_368))) (let ((_let_720 (or _let_492 _let_719))) (let ((_let_721 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_719)) :args ((or _let_522 _let_368 (not _let_719)))) _let_524 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_720)) :args ((or _let_492 _let_719 (not _let_720)))) _let_540 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE 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(CONG (SYMM _let_1356) (TRANS _let_1038 _let_1036 _let_1034 _let_1033 _let_1031 _let_1044 _let_1166 _let_1498 _let_1497 _let_1494 _let_1491 _let_1407 _let_1401 _let_1399 _let_1372 _let_1369 _let_1386 _let_1361 _let_1363 _let_1385 _let_1376 _let_1378 (SYMM _let_1381) (SYMM _let_1382) _let_1383 (SYMM _let_1392) (SYMM _let_1396)) :args _let_953))) (let ((_let_1500 (ASSUME :args (_let_63)))) (let ((_let_1501 (SYMM _let_1500))) (let ((_let_1502 (ASSUME :args (_let_245)))) (let ((_let_1503 (TRANS (SYMM _let_1502) _let_962))) (let ((_let_1504 (CONG _let_1503 (REFL :args (_let_55)) :args _let_957))) (let ((_let_1505 (SYMM _let_1398))) (let ((_let_1506 (ASSUME :args (_let_323)))) (let ((_let_1507 (ASSUME :args (_let_389)))) (let ((_let_1508 (TRANS (SYMM (SYMM _let_1507)) (CONG _let_973 _let_1076 :args _let_953) (CONG _let_974 _let_990 :args _let_953) (SYMM _let_1506) (CONG _let_1505 _let_1078 :args _let_953) (CONG _let_1398 _let_1229 :args _let_953) (CONG _let_1505 _let_1449 :args _let_953) (CONG _let_1398 _let_983 :args _let_953) _let_1140))) (let ((_let_1509 (CONG (SYMM _let_1503) _let_1508 :args _let_957))) (let ((_let_1510 (TRANS _let_1509 _let_1504 (SYMM _let_1501) _let_1499 _let_1397 _let_1266 _let_1264 (SYMM _let_1274) (SYMM _let_1351) _let_1353 (SYMM _let_1357)))) (let ((_let_1511 (CONG _let_983 _let_1040 :args _let_957))) (let ((_let_1512 (ASSUME :args (_let_242)))) (let ((_let_1513 (SYMM _let_1512))) (let ((_let_1514 (CONG (TRANS _let_1513 _let_1511) (REFL :args (_let_154)) :args _let_953))) (let ((_let_1515 (ASSUME :args (_let_156)))) (let ((_let_1516 (SYMM (SYMM _let_1515)))) (let ((_let_1517 (CONG _let_1182 _let_983 :args _let_957))) (let ((_let_1518 (CONG (TRANS (SYMM _let_1055) (SYMM (TRANS _let_1181 _let_1179 _let_1177 _let_1054))) _let_983 :args _let_957))) (let ((_let_1519 (ASSUME :args (_let_115)))) (let ((_let_1520 (SYMM _let_1519))) (let ((_let_1521 (SYMM _let_1520))) (let ((_let_1522 (CONG _let_983 (TRANS _let_1521 _let_1518 _let_1517 _let_1393 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(ASSUME :args (_let_377)))) (let ((_let_1557 (SYMM _let_1556))) (let ((_let_1558 (CONG _let_1557 :args _let_946))) (let ((_let_1559 (ASSUME :args (_let_361)))) (let ((_let_1560 (SYMM _let_1559))) (let ((_let_1561 (ASSUME :args (_let_332)))) (let ((_let_1562 (SYMM _let_1561))) (let ((_let_1563 (ASSUME :args (_let_135)))) (let ((_let_1564 (SYMM _let_1433))) (let ((_let_1565 (SYMM _let_1474))) (let ((_let_1566 (SYMM _let_1469))) (let ((_let_1567 (SYMM _let_1463))) (let ((_let_1568 (SYMM _let_1457))) (let ((_let_1569 (SYMM _let_1455))) (let ((_let_1570 (SYMM _let_1451))) (let ((_let_1571 (SYMM _let_1428))) (let ((_let_1572 (SYMM _let_1427))) (let ((_let_1573 (SYMM _let_1424))) (let ((_let_1574 (ASSUME :args (_let_111)))) (let ((_let_1575 (SYMM _let_1574))) (let ((_let_1576 (CONG _let_1480 _let_972 :args _let_957))) (let ((_let_1577 (CONG _let_1541 _let_1115 :args _let_957))) (let ((_let_1578 (ASSUME :args (_let_73)))) (let ((_let_1579 (CONG _let_1106 _let_1115 :args _let_957))) (let 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_let_1594 _let_1592 _let_1589 _let_1588 _let_1431 _let_1564 _let_1441 _let_1436))) (let ((_let_1598 (TRANS _let_1031 _let_1408 (CONG (TRANS (TRANS _let_1125 _let_1474 _let_1472 _let_1469 _let_1463 _let_1460 _let_1457 _let_1455 _let_1454 _let_1451 _let_1430 _let_1428 _let_1545 _let_1543 _let_1540 _let_1538 _let_1530 _let_1528 _let_1526 _let_1525 _let_1522 _let_1433 _let_1432 (SYMM _let_1588) (SYMM _let_1589) _let_1591 (SYMM _let_1594) (SYMM _let_1595) (SYMM _let_1596)) _let_1597) _let_1022 :args _let_957) (SYMM _let_1563) (CONG _let_972 _let_1142 :args _let_957)))) (let ((_let_1599 (ASSUME :args (_let_210)))) (let ((_let_1600 (ASSUME :args (_let_293)))) (let ((_let_1601 (SYMM _let_1600))) (let ((_let_1602 (CONG _let_1209 _let_1090 :args _let_957))) (let ((_let_1603 (CONG (TRANS (TRANS _let_1031 _let_1464 _let_1602 _let_1601 _let_1599) (SYMM _let_1599)) _let_1598 :args _let_953))) (let ((_let_1604 (REFL :args (_let_51)))) (let ((_let_1605 (ASSUME :args (_let_76)))) (let ((_let_1606 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_let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _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 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _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 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737))) _let_736 _let_735 _let_734 _let_733 _let_732 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_534 _let_533 _let_527 _let_584 _let_583 _let_576 _let_721 _let_718 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_684 _let_683 _let_682 _let_681 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_587 _let_553 _let_550 _let_548 _let_541 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_480 _let_479 _let_477 _let_476 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_435 _let_434 _let_433 _let_432 _let_431 _let_430 _let_426 _let_421 _let_416 _let_415 _let_411 _let_410 _let_409 _let_408 _let_404 _let_399 :args (_let_30 false _let_390 false _let_389 false _let_388 false _let_387 false _let_386 false _let_385 false _let_384 false _let_383 false _let_382 false _let_380 false _let_379 false _let_378 false _let_377 false _let_376 false _let_375 false _let_374 false _let_373 false _let_372 false _let_371 false _let_370 false _let_368 false _let_367 false _let_365 false _let_364 false _let_363 false _let_361 false _let_359 false _let_358 false _let_356 false _let_355 false _let_354 false _let_352 false _let_351 false _let_350 false _let_349 false _let_348 false _let_347 false _let_346 false _let_345 false _let_344 false _let_343 false _let_342 false _let_341 false _let_340 false _let_339 false _let_338 false _let_337 false _let_336 false _let_335 false _let_333 false _let_332 false _let_331 false _let_330 false _let_329 false _let_328 false _let_327 false _let_326 false _let_325 false _let_324 false _let_323 false _let_322 false _let_321 false _let_319 false _let_316 false _let_313 false _let_312 false _let_310 false _let_309 false _let_307 false _let_306 false _let_304 false _let_303 false _let_302 false _let_301 false _let_300 false _let_298 false _let_297 false _let_295 false _let_294 false _let_293 false _let_292 false _let_290 false _let_288 false _let_287 false _let_286 false _let_285 false _let_284 false _let_283 false _let_282 false _let_280 false _let_276 false _let_275 false _let_274 false _let_272 false _let_271 false _let_270 false _let_269 false _let_268 false _let_267 false _let_265 false _let_263 false _let_262 false _let_260 false _let_259 false _let_257 false _let_256 false _let_252 false _let_251 false _let_250 false _let_249 false _let_248 false _let_247 false _let_246 false _let_245 false _let_244 false _let_243 false _let_242 false _let_241 false _let_239 false _let_236 false _let_234 false _let_232 false _let_231 false _let_230 false _let_228 false _let_226 false _let_224 false _let_223 false _let_221 false _let_220 false _let_219 false _let_218 false _let_217 false _let_215 false _let_214 false _let_210 false _let_208 false _let_206 false _let_205 false _let_201 false _let_198 false _let_197 false _let_193 false _let_192 false _let_191 false _let_190 false _let_188 false _let_187 false _let_186 false _let_183 false _let_179 false _let_174 false _let_171 false _let_169 false _let_167 false _let_164 false _let_161 false _let_159 false _let_156 false _let_153 false _let_151 false _let_150 false _let_148 false _let_146 false _let_145 false _let_143 false _let_142 false _let_139 false _let_138 false _let_136 false _let_135 false _let_132 false _let_130 false _let_129 false _let_128 false _let_125 false _let_123 false _let_120 false _let_119 false _let_115 false _let_114 false _let_113 false _let_111 false _let_108 false _let_106 false _let_105 false _let_102 false _let_101 false _let_98 false _let_97 false _let_93 false _let_91 false _let_87 false _let_84 false _let_81 false _let_78 false _let_76 false _let_73 false _let_69 false _let_68 false _let_67 false _let_63 false _let_61 false _let_56 false _let_53 false _let_49 false _let_47 false _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 2)) _let_43 :args ((not _let_32) true _let_37)) :args (false false _let_31 false _let_30 true _let_32)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.82/3.01 )
% 2.82/3.01 % SZS output end Proof for KLE010+4
% 2.82/3.01 % cvc5---1.0.5 exiting
% 2.82/3.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------