TSTP Solution File: KLE026+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE026+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 05:26:56 EDT 2023
% Result : Theorem 9.15s 9.36s
% Output : Proof 9.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE026+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:15:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 9.15/9.36 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HV1dfPGwP7/cvc5---1.0.5_14119.p...
% 9.15/9.36 ------- get file name : TPTP file name is KLE026+2
% 9.15/9.36 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14119.smt2...
% 9.15/9.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 9.15/9.36 % SZS status Theorem for KLE026+2
% 9.15/9.36 % SZS output start Proof for KLE026+2
% 9.15/9.36 (
% 9.15/9.36 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= _let_1 (tptp.multiplication _let_1 X2)) (tptp.leq _let_1 (tptp.multiplication X0 X2))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_18 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_28 (= tptp.zero _let_27))) (let ((_let_29 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_30 (= tptp.one _let_29))) (let ((_let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (= _let_23 _let_31))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (= _let_29 _let_33))) (let ((_let_35 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.addition _let_35 tptp.zero))) (let ((_let_37 (= _let_35 _let_36))) (let ((_let_38 (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (= (tptp.multiplication _let_35 _let_27) (tptp.multiplication _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_40 (= tptp.zero (tptp.multiplication _let_35 tptp.zero)))) (let ((_let_41 (tptp.multiplication tptp.zero _let_35))) (let ((_let_42 (= tptp.zero _let_41))) (let ((_let_43 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (= tptp.zero (tptp.multiplication tptp.zero _let_43)))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (= _let_46 _let_45))) (let ((_let_48 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_49 (tptp.addition _let_38 _let_48))) (let ((_let_50 (= (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_49))) (let ((_let_51 (= (tptp.multiplication _let_35 _let_43) (tptp.c _let_45)))) (let ((_let_52 (= (tptp.multiplication _let_43 _let_35) (tptp.c _let_46)))) (let ((_let_53 (= _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (= _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_55 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (tptp.addition _let_55 tptp.zero))) (let ((_let_57 (tptp.addition tptp.zero _let_55))) (let ((_let_58 (= _let_57 _let_56))) (let ((_let_59 (= _let_55 _let_56))) (let ((_let_60 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_60))) (let ((_let_62 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_62) (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_65 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_66 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_38))) (let ((_let_67 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_49) (tptp.addition _let_66 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_48))))) (let ((_let_68 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 tptp.zero))) (let ((_let_69 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_70 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_71 (= (tptp.multiplication _let_70 tptp.zero) (tptp.addition _let_69 _let_68)))) (let ((_let_72 (= (tptp.multiplication _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_73 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_74 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_75 (tptp.addition _let_74 _let_73))) (let ((_let_76 (tptp.multiplication _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_77 (= _let_76 _let_75))) (let ((_let_78 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_79 (= tptp.zero _let_78))) (let ((_let_80 (tptp.c _let_35))) (let ((_let_81 (= tptp.zero (tptp.multiplication _let_80 tptp.zero)))) (let ((_let_82 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_83 (= (tptp.c _let_23) (tptp.multiplication _let_35 _let_82)))) (let ((_let_84 (= (tptp.c _let_20) (tptp.addition _let_35 _let_82)))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_82))) (let ((_let_86 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_87 (= tptp.zero _let_86))) (let ((_let_88 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_89 (tptp.addition _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_90 (= _let_89 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_88)))) (let ((_let_91 (= (tptp.addition _let_88 _let_89) (tptp.addition (tptp.addition _let_88 _let_88) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_92 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.zero)))) (let ((_let_93 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_60) (tptp.addition _let_93 _let_93)))) (let ((_let_95 (tptp.multiplication _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_96 (tptp.multiplication _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_97 (= (tptp.multiplication _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition _let_96 _let_95)))) (let ((_let_98 (= tptp.zero _let_69))) (let ((_let_99 (= tptp.zero _let_68))) (let ((_let_100 (= _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_101 (= _let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_102 (= _let_95 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_86)))) (let ((_let_103 (= (tptp.multiplication _let_70 _let_86) (tptp.multiplication _let_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_104 (= _let_96 (tptp.addition _let_96 tptp.zero)))) (let ((_let_105 (tptp.c _let_96))) (let ((_let_106 (= _let_105 (tptp.multiplication _let_105 tptp.one)))) (let ((_let_107 (= tptp.one _let_89))) (let ((_let_108 (= tptp.zero _let_55))) (let ((_let_109 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_89))) (let ((_let_110 (= _let_89 _let_109))) (let ((_let_111 (tptp.c _let_55))) (let ((_let_112 (= tptp.zero _let_111))) (let ((_let_113 (and _let_21 _let_22 _let_24))) (let ((_let_114 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_115 (= _let_114 _let_113))) (let ((_let_116 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((tptp.complement X1 X0)))) (let ((_let_120 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)))) (let ((_let_121 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_124 (= _let_123 _let_122))) (let ((_let_125 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 ((tptp.test X0)))) (let ((_let_129 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)))) (let ((_let_130 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_131 (tptp.leq _let_88 _let_130))) (let ((_let_132 (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_133 (= _let_88 _let_132))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_136 (not _let_135))) (let ((_let_137 (not _let_123))) (let ((_let_138 (or _let_137 _let_136 _let_134 _let_131))) (let ((_let_139 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= _let_1 (tptp.multiplication _let_1 X2))) (tptp.leq _let_1 (tptp.multiplication X0 X2))))))) (let ((_let_140 (not _let_138))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (or))) (let ((_let_143 (not _let_139))) (let ((_let_144 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_141) :args (_let_143))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_143) _let_139))) (REFL :args (_let_140)) :args _let_142)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST _let_144 _let_141 :args (_let_140 true _let_139)))) (let ((_let_146 (REFL :args (_let_138)))) (let ((_let_147 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_138 0)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_123))) :args _let_142)) :args ((or _let_123 _let_138))))) (let ((_let_148 (MACRO_RESOLUTION_TRUST _let_147 _let_145 :args (_let_123 true _let_138)))) (let ((_let_149 (REORDERING (CNF_EQUIV_POS1 :args (_let_124)) :args ((or _let_137 _let_122 (not _let_124)))))) (let ((_let_150 (not _let_114))) (let ((_let_151 (_let_122))) (let ((_let_152 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_151)) :args _let_151) (REWRITE :args ((=> _let_122 (not _let_150)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) (REFL :args (_let_114)) :args _let_142)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST _let_152 (MACRO_RESOLUTION_TRUST _let_149 _let_148 (MACRO_RESOLUTION_TRUST _let_129 _let_126 :args (_let_124 false _let_125)) :args (_let_122 false _let_123 false _let_124)) :args (_let_114 true _let_121)))) (let ((_let_154 (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_150 _let_113 (not _let_115)))))) (let ((_let_155 (MACRO_RESOLUTION_TRUST _let_154 _let_153 (MACRO_RESOLUTION_TRUST _let_120 _let_117 :args (_let_115 false _let_116)) :args (_let_113 false _let_114 false _let_115)))) (let ((_let_156 (not _let_113))) (let ((_let_157 (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_21 _let_156))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST _let_157 _let_155 :args (_let_21 false _let_113)))) (let ((_let_159 (REORDERING (CNF_AND_POS :args (_let_113 1)) :args ((or _let_22 _let_156))))) (let ((_let_160 (MACRO_RESOLUTION_TRUST _let_159 _let_155 :args (_let_22 false _let_113)))) (let ((_let_161 (REORDERING (CNF_AND_POS :args (_let_113 2)) :args ((or _let_24 _let_156))))) (let ((_let_162 (MACRO_RESOLUTION_TRUST _let_161 _let_155 :args (_let_24 false _let_113)))) (let ((_let_163 (and _let_26 _let_28 _let_30))) (let ((_let_164 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_165 (= _let_164 _let_163))) (let ((_let_166 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)))) (let ((_let_167 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_168 (not _let_167))) (let ((_let_169 (= _let_135 _let_168))) (let ((_let_170 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)))) (let ((_let_171 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_138 1)) (CONG _let_146 (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_142)) :args ((or _let_135 _let_138))))) (let ((_let_172 (MACRO_RESOLUTION_TRUST _let_171 _let_145 :args (_let_135 true _let_138)))) (let ((_let_173 (REORDERING (CNF_EQUIV_POS1 :args (_let_169)) :args ((or _let_136 _let_168 (not _let_169)))))) (let ((_let_174 (_let_164))) (let ((_let_175 (not _let_164))) (let ((_let_176 (_let_168))) (let ((_let_177 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_176)) 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_let_137 _let_136 _let_51))) (let ((_let_228 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_229 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_230 (_let_228))) (let ((_let_231 ((tptp.addition X0 X1)))) (let ((_let_232 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_229 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230))))) (let ((_let_233 (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_137 _let_136 _let_51 (not _let_227)))))) (let ((_let_234 (MACRO_RESOLUTION_TRUST _let_233 _let_148 _let_172 (MACRO_RESOLUTION_TRUST _let_232 _let_229 :args (_let_227 false _let_228)) :args (_let_51 false _let_123 false _let_135 false _let_227)))) (let ((_let_235 (or _let_136 _let_137 _let_52))) (let ((_let_236 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_229 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230))))) (let ((_let_237 (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_137 _let_136 _let_52 (not _let_235)))))) (let ((_let_238 (MACRO_RESOLUTION_TRUST _let_237 _let_148 _let_172 (MACRO_RESOLUTION_TRUST _let_236 _let_229 :args (_let_235 false _let_228)) :args (_let_52 false _let_123 false _let_135 false _let_235)))) (let ((_let_239 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_240 (= _let_239 _let_53))) (let ((_let_241 (or _let_137 _let_240))) (let ((_let_242 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_243 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_244 (_let_242))) 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:args (_let_239 false _let_249 false _let_250)))) (let ((_let_268 (REORDERING (CNF_EQUIV_POS1 :args (_let_240)) :args ((or (not _let_239) _let_53 (not _let_240)))))) (let ((_let_269 (MACRO_RESOLUTION_TRUST _let_268 _let_267 (MACRO_RESOLUTION_TRUST _let_247 _let_148 (MACRO_RESOLUTION_TRUST _let_246 _let_243 :args (_let_241 false _let_242)) :args (_let_240 false _let_123 false _let_241)) :args (_let_53 false _let_239 false _let_240)))) (let ((_let_270 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_271 (= _let_270 _let_54))) (let ((_let_272 (or _let_136 _let_271))) (let ((_let_273 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_245)) :args _let_244))))) (let ((_let_274 (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_136 _let_271 (not _let_272)))))) (let ((_let_275 (= tptp.one _let_33))) (let 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(SCOPE (INSTANTIATE _let_189 :args (tptp.zero _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_58 false _let_19)))) (let ((_let_296 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (_let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) _let_196 :args (_let_59 false _let_195)))) (let ((_let_297 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_298 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_299 (_let_297))) (let ((_let_300 ((tptp.addition A A)))) (let ((_let_301 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)))) (let ((_let_302 (MACRO_RESOLUTION_TRUST _let_301 _let_298 :args (_let_61 false _let_297)))) (let ((_let_303 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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tptp.one A)))) (let ((_let_314 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_311 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_313)) :args _let_312)) _let_311 :args (_let_65 false _let_310)))) (let ((_let_315 (_let_12))) (let ((_let_316 (ASSUME :args _let_315))) (let ((_let_317 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_318 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_316 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_38 _let_48 QUANTIFIERS_INST_E_MATCHING _let_317)) :args _let_315)))) (let ((_let_319 (MACRO_RESOLUTION_TRUST _let_318 _let_316 :args (_let_67 false _let_12)))) (let ((_let_320 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)))) (let ((_let_321 (MACRO_RESOLUTION_TRUST _let_320 _let_207 :args (_let_79 false _let_206)))) (let ((_let_322 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args 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_let_84))) (let ((_let_340 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_341 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_342 (_let_340))) (let ((_let_343 ((tptp.multiplication X0 X1)))) (let ((_let_344 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_343)) :args _let_342)))) (let ((_let_345 (REORDERING (CNF_OR_POS :args (_let_339)) :args ((or _let_137 _let_324 _let_84 (not _let_339)))))) (let ((_let_346 (MACRO_RESOLUTION_TRUST _let_345 _let_148 _let_337 (MACRO_RESOLUTION_TRUST _let_344 _let_341 :args (_let_339 false _let_340)) :args (_let_84 false _let_123 false _let_323 false _let_339)))) (let ((_let_347 (= _let_114 _let_85))) (let ((_let_348 (or _let_324 _let_347))) (let ((_let_349 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_245)) :args _let_244)))) (let ((_let_350 (REORDERING (CNF_OR_POS :args (_let_348)) :args ((or _let_324 _let_347 (not _let_348)))))) (let ((_let_351 (REORDERING (CNF_EQUIV_POS1 :args (_let_347)) :args ((or _let_150 _let_85 (not _let_347)))))) (let ((_let_352 (MACRO_RESOLUTION_TRUST _let_351 _let_153 (MACRO_RESOLUTION_TRUST _let_350 _let_337 (MACRO_RESOLUTION_TRUST _let_349 _let_243 :args (_let_348 false _let_242)) :args (_let_347 false _let_323 false _let_348)) :args (_let_85 false _let_114 false _let_347)))) (let ((_let_353 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_354 (= tptp.one _let_353))) (let ((_let_355 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_356 (= tptp.zero _let_355))) (let ((_let_357 (and _let_356 _let_87 _let_354))) (let ((_let_358 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_359 (= _let_358 _let_357))) (let ((_let_360 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)))) (let ((_let_361 (not _let_358))) (let ((_let_362 (_let_327))) (let ((_let_363 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_362)) :args _let_362) (REWRITE :args ((=> _let_327 (not _let_361)))))) (CONG _let_334 (REFL :args (_let_358)) :args _let_142)))) (let ((_let_364 (REORDERING (CNF_EQUIV_POS1 :args (_let_359)) :args ((or _let_361 _let_357 (not _let_359)))))) (let ((_let_365 (MACRO_RESOLUTION_TRUST _let_364 (MACRO_RESOLUTION_TRUST _let_363 _let_332 :args (_let_358 true _let_326)) (MACRO_RESOLUTION_TRUST _let_360 _let_117 :args (_let_359 false _let_116)) :args (_let_357 false _let_358 false _let_359)))) (let ((_let_366 (not _let_357))) (let ((_let_367 (REORDERING (CNF_AND_POS :args (_let_357 1)) :args ((or _let_87 _let_366))))) (let ((_let_368 (MACRO_RESOLUTION_TRUST _let_367 _let_365 :args (_let_87 false _let_357)))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_90 false _let_19)))) (let ((_let_370 (_let_18))) (let ((_let_371 (ASSUME :args _let_370))) (let ((_let_372 ((tptp.addition A (tptp.addition B C))))) (let ((_let_373 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_88 _let_88 QUANTIFIERS_INST_E_MATCHING _let_372)) :args _let_370)) _let_371 :args (_let_91 false _let_18)))) (let ((_let_374 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)))) (let ((_let_375 (MACRO_RESOLUTION_TRUST _let_374 _let_196 :args (_let_92 false _let_195)))) (let ((_let_376 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_316 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_317)) :args _let_315)))) (let ((_let_377 (MACRO_RESOLUTION_TRUST _let_376 _let_316 :args (_let_94 false _let_12)))) (let ((_let_378 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_98 false _let_206)))) (let ((_let_379 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_380 (= _let_379 _let_100))) (let ((_let_381 (or _let_324 _let_380))) (let ((_let_382 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 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(and _let_354 _let_389))) (let ((_let_393 (ASSUME :args (_let_389)))) (let ((_let_394 (ASSUME :args (_let_354)))) (let ((_let_395 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_392)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_393 _let_394) (SCOPE (TRANS (SYMM (SYMM _let_394)) (SYMM (SYMM _let_393))) :args (_let_389 _let_354))) :args (_let_354 _let_389))) :args (true _let_392)) :args ((or (not _let_354) _let_385 (not _let_389)))))) (let ((_let_396 (REORDERING (CNF_AND_POS :args (_let_357 0)) :args ((or _let_356 _let_366))))) (let ((_let_397 (MACRO_RESOLUTION_TRUST _let_396 _let_365 :args (_let_356 false _let_357)))) (let ((_let_398 (not _let_87))) (let ((_let_399 (not _let_356))) (let ((_let_400 (REORDERING (CNF_AND_NEG :args (_let_386)) :args ((or _let_399 _let_398 _let_386 (not _let_385)))))) (let ((_let_401 (REORDERING (CNF_EQUIV_POS2 :args (_let_387)) :args ((or _let_379 (not _let_386) (not _let_387)))))) (let ((_let_402 (REORDERING (CNF_EQUIV_POS1 :args (_let_380)) :args ((or (not _let_379) _let_100 (not _let_380)))))) (let ((_let_403 (MACRO_RESOLUTION_TRUST _let_402 (MACRO_RESOLUTION_TRUST _let_401 (MACRO_RESOLUTION_TRUST _let_400 _let_397 _let_368 (MACRO_RESOLUTION_TRUST _let_395 (MACRO_RESOLUTION_TRUST _let_391 _let_365 :args (_let_354 false _let_357)) (MACRO_RESOLUTION_TRUST _let_390 _let_189 :args (_let_389 false _let_19)) :args (_let_385 false _let_354 false _let_389)) :args (_let_386 false _let_356 false _let_87 false _let_385)) (MACRO_RESOLUTION_TRUST _let_388 _let_117 :args (_let_387 false _let_116)) :args (_let_379 false _let_386 false _let_387)) (MACRO_RESOLUTION_TRUST _let_383 _let_337 (MACRO_RESOLUTION_TRUST _let_382 _let_243 :args (_let_381 false _let_242)) :args (_let_380 false _let_323 false _let_381)) :args (_let_100 false _let_379 false _let_380)))) (let ((_let_404 (tptp.complement _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_405 (= _let_404 _let_101))) (let ((_let_406 (tptp.test _let_35))) (let ((_let_407 (not 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(REORDERING (CNF_OR_POS :args (_let_408)) :args ((or _let_407 _let_405 (not _let_408)))))) (let ((_let_421 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35))) (let ((_let_422 (= tptp.one _let_421))) (let ((_let_423 (= tptp.zero (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_424 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35)))) (let ((_let_425 (and _let_424 _let_423 _let_422))) (let ((_let_426 (= _let_404 _let_425))) (let ((_let_427 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_251)) :args _let_118)))) (let ((_let_428 (tptp.addition _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_429 (= _let_428 _let_421))) (let ((_let_430 (= tptp.one _let_428))) (let ((_let_431 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST _let_431 _let_189 :args (_let_429 false _let_19)))) (let ((_let_433 (and _let_423 _let_424 _let_430))) (let ((_let_434 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_35))) (let ((_let_435 (= _let_434 _let_433))) (let ((_let_436 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)))) (let ((_let_437 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_438 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_439 (not _let_437))) (let ((_let_440 (and _let_239 _let_53))) (let ((_let_441 (_let_239 _let_53))) (let ((_let_442 (ASSUME :args (_let_239)))) (let ((_let_443 (APPLY_UF tptp.complement))) (let ((_let_444 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_445 (RESOLUTION (CNF_AND_NEG :args (_let_440)) (IMPLIES_ELIM (SCOPE 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_let_429))) :args (true _let_458)) :args ((or _let_457 _let_422 _let_456))))) (let ((_let_464 (REORDERING (CNF_AND_POS :args (_let_433 1)) :args ((or _let_424 _let_453))))) (let ((_let_465 (MACRO_RESOLUTION_TRUST _let_464 _let_452 :args (_let_424 false _let_433)))) (let ((_let_466 (REORDERING (CNF_AND_POS :args (_let_433 0)) :args ((or _let_423 _let_453))))) (let ((_let_467 (not _let_424))) (let ((_let_468 (REORDERING (CNF_AND_NEG :args (_let_425)) :args ((or (not _let_423) _let_467 _let_425 (not _let_422)))))) (let ((_let_469 (REORDERING (CNF_EQUIV_POS2 :args (_let_426)) :args ((or _let_404 (not _let_425) (not _let_426)))))) (let ((_let_470 (REORDERING (CNF_EQUIV_POS1 :args (_let_405)) :args ((or (not _let_404) _let_101 (not _let_405)))))) (let ((_let_471 (MACRO_RESOLUTION_TRUST _let_470 (MACRO_RESOLUTION_TRUST _let_469 (MACRO_RESOLUTION_TRUST _let_468 (MACRO_RESOLUTION_TRUST _let_466 _let_452 :args (_let_423 false _let_433)) _let_465 (MACRO_RESOLUTION_TRUST _let_463 _let_455 _let_432 :args (_let_422 false _let_430 false _let_429)) :args (_let_425 false _let_423 false _let_424 false _let_422)) (MACRO_RESOLUTION_TRUST _let_427 _let_117 :args (_let_426 false _let_116)) :args (_let_404 false _let_425 false _let_426)) (MACRO_RESOLUTION_TRUST _let_420 _let_419 (MACRO_RESOLUTION_TRUST _let_409 _let_243 :args (_let_408 false _let_242)) :args (_let_405 false _let_406 false _let_408)) :args (_let_101 false _let_404 false _let_405)))) (let ((_let_472 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_473 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_88))) (let ((_let_474 (= tptp.zero _let_473))) (let ((_let_475 (and (= tptp.zero (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) _let_474 _let_107))) (let ((_let_476 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_88))) (let ((_let_477 (= _let_476 _let_475))) (let ((_let_478 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_479 (not _let_478))) (let ((_let_480 (tptp.test _let_88))) (let ((_let_481 (= _let_480 _let_479))) (let ((_let_482 (tptp.c _let_88))) (let ((_let_483 (= tptp.zero _let_482))) (let ((_let_484 (or _let_480 _let_483))) (let ((_let_485 (forall ((X0 $$unsorted)) (or (tptp.test X0) (= tptp.zero (tptp.c X0)))))) (let ((_let_486 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_487 (_let_485))) (let ((_let_488 ((not (= (tptp.test X0) true))))) (let ((_let_489 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35))) (let ((_let_490 (= tptp.zero _let_489))) (let ((_let_491 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_492 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_493 (tptp.c _let_492))) (let ((_let_494 (= _let_493 (tptp.multiplication _let_491 _let_35)))) (let ((_let_495 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_491))) (let ((_let_496 (= tptp.zero _let_493))) (let ((_let_497 (tptp.test _let_492))) (let ((_let_498 (or _let_497 _let_496))) (let ((_let_499 (tptp.addition _let_492 _let_492))) (let ((_let_500 (= (tptp.c _let_499) (tptp.multiplication _let_493 _let_493)))) (let ((_let_501 (not _let_497))) (let ((_let_502 (or _let_501 _let_501 _let_500))) (let ((_let_503 (= (tptp.c (tptp.multiplication _let_492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.addition _let_493 _let_43)))) (let ((_let_504 (or _let_501 _let_136 _let_503))) (let ((_let_505 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_506 (or _let_505 _let_108))) (let ((_let_507 (tptp.addition _let_35 _let_55))) (let ((_let_508 (= _let_482 _let_507))) (let ((_let_509 (not _let_505))) (let ((_let_510 (or _let_137 _let_509 _let_508))) (let ((_let_511 (= _let_43 (tptp.addition _let_43 tptp.zero)))) (let ((_let_512 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_489) (tptp.multiplication _let_27 _let_35)))) (let ((_let_513 (tptp.addition _let_43 _let_35))) (let ((_let_514 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_515 (tptp.c _let_514))) (let ((_let_516 (= _let_515 _let_513))) (let ((_let_517 (tptp.addition _let_35 _let_43))) (let ((_let_518 (= _let_513 _let_517))) (let ((_let_519 (tptp.addition _let_489 _let_78))) (let ((_let_520 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_36) _let_519))) (let ((_let_521 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_522 (tptp.multiplication _let_35 _let_35))) (let ((_let_523 (= _let_522 (tptp.c _let_521)))) (let ((_let_524 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_525 (= (tptp.multiplication _let_43 _let_43) (tptp.c _let_524)))) (let ((_let_526 (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_527 (= _let_517 _let_526))) (let ((_let_528 (= _let_492 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_529 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_489))) (let ((_let_530 (= _let_529 (tptp.addition _let_489 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_531 (= _let_519 (tptp.addition _let_78 _let_489)))) (let ((_let_532 (tptp.addition _let_43 _let_43))) (let ((_let_533 (tptp.addition _let_532 _let_35))) (let ((_let_534 (= (tptp.addition _let_43 _let_513) _let_533))) (let ((_let_535 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_521))) (let ((_let_536 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_524))) (let ((_let_537 (= (tptp.multiplication _let_489 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_66))) (let ((_let_538 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.multiplication _let_491 _let_82)))) (let ((_let_539 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (tptp.multiplication _let_82 _let_491)))) (let ((_let_540 (= (tptp.addition _let_526 _let_43) (tptp.addition _let_43 _let_526)))) (let ((_let_541 (= _let_533 (tptp.addition _let_35 _let_532)))) (let ((_let_542 (tptp.addition _let_515 _let_515))) (let ((_let_543 (= (tptp.addition _let_515 (tptp.addition _let_515 _let_55)) (tptp.addition _let_542 _let_55)))) (let ((_let_544 (= (tptp.addition _let_532 _let_507) (tptp.addition _let_533 _let_55)))) (let ((_let_545 (= _let_514 (tptp.addition _let_514 tptp.zero)))) (let ((_let_546 (= _let_515 _let_542))) (let ((_let_547 (= _let_43 _let_532))) (let ((_let_548 (= _let_492 _let_499))) (let ((_let_549 (= (tptp.multiplication _let_35 _let_489) (tptp.multiplication (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_35)))) (let ((_let_550 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_522) (tptp.multiplication _let_489 _let_35)))) (let ((_let_551 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiplication _let_35 _let_493)) (tptp.multiplication _let_489 _let_493)))) (let ((_let_552 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_529) (tptp.addition _let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_489))))) (let ((_let_553 (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_554 (= (tptp.multiplication (tptp.addition _let_553 _let_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition (tptp.multiplication _let_553 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiplication _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_555 (= (tptp.multiplication _let_35 (tptp.c _let_43)) (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_43))))) (let ((_let_556 (not _let_483))) (let ((_let_557 (= (tptp.addition _let_482 _let_43) (tptp.addition _let_43 _let_482)))) (let ((_let_558 (tptp.addition _let_513 tptp.zero))) (let ((_let_559 (= (tptp.addition _let_43 _let_36) _let_558))) (let ((_let_560 (= _let_482 (tptp.addition _let_482 _let_482)))) (let ((_let_561 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_562 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.addition _let_62 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_563 (= (tptp.c _let_489) (tptp.addition _let_43 _let_80)))) (let ((_let_564 (= _let_491 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_565 (= tptp.zero _let_558))) (let ((_let_566 (= tptp.zero (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_567 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_568 (tptp.c _let_482))) (let ((_let_569 (= tptp.zero (tptp.multiplication _let_568 _let_43)))) (let ((_let_570 (and _let_569 (= tptp.zero (tptp.multiplication _let_43 _let_568)) (= tptp.one (tptp.addition _let_568 _let_43))))) (let ((_let_571 (tptp.complement _let_43 _let_568))) (let ((_let_572 (= _let_571 _let_570))) (let ((_let_573 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.zero)))) (let ((_let_574 (= tptp.one (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero)))) (let ((_let_575 (= tptp.one (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_482)))) (let ((_let_576 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one)))) (let ((_let_577 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_482))) (let ((_let_578 (= (tptp.multiplication _let_60 _let_482) (tptp.addition _let_577 _let_577)))) (let ((_let_579 (= tptp.zero (tptp.c _let_577)))) (let ((_let_580 (tptp.test _let_577))) (let ((_let_581 (or _let_580 _let_579))) (let ((_let_582 (tptp.test tptp.zero))) (let ((_let_583 (= (tptp.c _let_41) (tptp.addition (tptp.c tptp.zero) _let_80)))) (let ((_let_584 (not _let_582))) (let ((_let_585 (or _let_584 _let_407 _let_583))) (let ((_let_586 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_130))) (let ((_let_587 (= _let_132 _let_586))) (let ((_let_588 (tptp.addition _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_589 (tptp.multiplication _let_588 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_590 (= _let_589 (tptp.addition _let_132 _let_130)))) (let ((_let_591 (= (tptp.addition _let_80 _let_111) (tptp.addition _let_111 _let_80)))) (let ((_let_592 (tptp.addition _let_130 _let_130))) (let ((_let_593 (= _let_130 _let_592))) (let ((_let_594 (tptp.addition _let_88 _let_130))) (let ((_let_595 (= (tptp.addition _let_88 _let_592) (tptp.addition _let_594 _let_130)))) (let ((_let_596 (tptp.multiplication tptp.one _let_130))) (let ((_let_597 (= _let_130 _let_596))) (let ((_let_598 (= _let_130 (tptp.addition _let_589 _let_130)))) (let ((_let_599 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_492) _let_130) (tptp.addition _let_586 (tptp.multiplication _let_492 _let_130))))) (let ((_let_600 (not _let_490))) (let ((_let_601 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_196 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) _let_196 :args (_let_511 false _let_195)))) (let ((_let_602 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_43 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_518 false _let_19)))) (let ((_let_603 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (tptp.zero _let_35 _let_43 QUANTIFIERS_INST_E_MATCHING _let_372)) :args _let_370)) _let_371 :args (_let_559 false _let_18)))) (let ((_let_604 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args (_let_482 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)) _let_298 :args (_let_560 false _let_297)))) (let ((_let_605 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_311 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_313)) :args _let_312)))) (let ((_let_606 (MACRO_RESOLUTION_TRUST _let_605 _let_311 :args (_let_561 false _let_310)))) (let ((_let_607 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_608 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_607)) :args _let_222)))) (let ((_let_609 (MACRO_RESOLUTION_TRUST _let_608 _let_223 :args (_let_562 false _let_11)))) (let ((_let_610 (= _let_164 _let_495))) (let ((_let_611 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_612 (not _let_611))) (let ((_let_613 (or _let_612 _let_610))) (let ((_let_614 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_615 (not _let_614))) (let ((_let_616 (= _let_611 _let_615))) (let ((_let_617 (_let_614))) (let ((_let_618 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_617) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) false))))) :args _let_617)) _let_291 :args (_let_615 false _let_270)))) (let ((_let_619 (not _let_616))) (let ((_let_620 (MACRO_SR_PRED_INTRO :args ((= (not _let_615) _let_614))))) (let ((_let_621 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_616)) (CONG (REFL :args (_let_619)) (REFL :args (_let_611)) _let_620 :args _let_142)) :args ((or _let_611 _let_614 _let_619))) _let_618 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_616 false _let_125)) :args (_let_611 true _let_614 false _let_616)))) (let ((_let_622 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_610)) :args ((or _let_175 _let_495 (not _let_610)))) _let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_613)) :args ((or _let_612 _let_610 (not _let_613)))) _let_621 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_243 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_245)) :args _let_244)) _let_243 :args (_let_613 false _let_242)) :args (_let_610 false _let_611 false _let_613)) :args (_let_495 false _let_164 false _let_610)))) (let ((_let_623 (or _let_136 _let_407 _let_563))) (let ((_let_624 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_343)) :args _let_342)))) (let ((_let_625 (REORDERING (CNF_OR_POS :args (_let_623)) :args ((or _let_136 _let_407 _let_563 (not _let_623)))))) (let ((_let_626 (MACRO_RESOLUTION_TRUST _let_625 _let_172 _let_419 (MACRO_RESOLUTION_TRUST _let_624 _let_341 :args (_let_623 false _let_340)) :args (_let_563 false _let_135 false _let_406 false _let_623)))) (let ((_let_627 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_628 (= _let_627 _let_564))) (let ((_let_629 (or _let_612 _let_628))) (let ((_let_630 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_631 (= tptp.one _let_630))) (let ((_let_632 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_633 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_634 (and _let_633 _let_632 _let_631))) (let ((_let_635 (= _let_627 _let_634))) (let ((_let_636 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 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(_let_641 false _let_116)) :args (_let_639 false _let_640 false _let_641)))) (let ((_let_645 (not _let_639))) (let ((_let_646 (and _let_638 _let_637))) (let ((_let_647 (ASSUME :args (_let_637)))) (let ((_let_648 (ASSUME :args (_let_638)))) (let ((_let_649 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_628)) :args ((or (not _let_627) _let_564 (not _let_628)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_635)) :args ((or _let_627 (not _let_634) (not _let_635)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_634)) :args ((or (not _let_632) (not _let_633) _let_634 (not _let_631)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_639 0)) :args ((or _let_632 _let_645))) _let_644 :args (_let_632 false _let_639)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_639 1)) :args ((or _let_633 _let_645))) _let_644 :args (_let_633 false _let_639)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args 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(let ((_let_1275 (= _let_657 (tptp.addition _let_589 _let_657)))) (let ((_let_1276 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication _let_662 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.multiplication _let_663 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_1277 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.multiplication _let_82 _let_82)))) (let ((_let_1278 (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1279 (tptp.addition _let_1278 _let_1278))) (let ((_let_1280 (= (tptp.multiplication _let_88 _let_60) _let_1279))) (let ((_let_1281 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_88))) (let ((_let_1282 (= _let_1281 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_1283 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_589) 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(REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1291)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1292 _let_784 _let_415 _let_1296 _let_259 _let_256 _let_787 _let_791 _let_794 _let_796 _let_800 _let_856 _let_1184 _let_1122 _let_1124) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_1242 _let_1304 :args _let_782) (CONG _let_858 (TRANS _let_1303 (CONG (TRANS _let_1126 _let_1123 _let_1301 _let_794 _let_803 _let_800) :args _let_790) _let_1233) :args _let_782) (CONG _let_1295 (TRANS _let_1232 _let_802 _let_789 (CONG _let_417 _let_1294 :args _let_778) (SYMM _let_258) (SYMM _let_261)) :args _let_782) _let_1299 _let_1064 _let_818) :args _let_414) (CONG _let_1295 :args _let_414) _let_1293)) :args (_let_123 _let_85 _let_53 _let_64 _let_24 _let_32 _let_84 _let_21 _let_40 _let_28 _let_39 _let_100 _let_108 _let_59 _let_58))) :args (_let_123 _let_21 _let_24 _let_28 _let_85 _let_108 _let_32 _let_39 _let_40 _let_53 _let_84 _let_58 _let_59 _let_64 _let_100))) :args (true _let_1291)) :args ((or 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true _let_582 false _let_585 false _let_406 true _let_583 true _let_1275 false _let_1274 false _let_547 false _let_100 false _let_597 false _let_595 false _let_495 false _let_85 false _let_1273 false _let_84 false _let_593 false _let_536 false _let_61 false _let_670 false _let_59 false _let_58 false _let_54 false _let_53 false _let_525 false _let_591 false _let_42 false _let_40 false _let_1272 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 false _let_590 false _let_587 false _let_133 false _let_1255 false _let_1256 false _let_1271 false _let_1270 false _let_1269 false _let_1268 false _let_1262 false _let_1263 false _let_1264 false _let_1265 false _let_1266 false _let_1260 false _let_1257 false _let_1259 true _let_1252 false _let_1254 false _let_1251 false _let_100 false _let_85 false _let_84 false _let_64 false _let_59 false _let_58 false _let_53 false _let_40 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 false _let_123)) (REORDERING 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(MODUS_PONENS (AND_INTRO _let_833 _let_1249 _let_1225) (SCOPE (FALSE_ELIM (TRANS (CONG _let_920 (TRANS _let_1227 (CONG (SYMM _let_835) _let_798 :args _let_782)) :args _let_877) (FALSE_INTRO _let_1249))) :args (_let_495 _let_600 _let_494))) :args (_let_495 _let_494 _let_600))) :args (true _let_1248)) (CONG _let_766 (REFL :args (_let_1212)) (MACRO_SR_PRED_INTRO :args ((= (not _let_600) _let_490))) (REFL :args (_let_1247)) :args _let_142)) :args ((or _let_739 _let_490 _let_1212 _let_1247))) _let_622 _let_1210 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1214)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1244 _let_853 _let_787 _let_888 _let_887 _let_862 _let_1231 _let_955 _let_808 _let_886 _let_415 _let_952 _let_856 _let_1236 _let_791 _let_896 _let_794 _let_796 _let_259 _let_784 _let_879 _let_833 _let_1225 _let_1184 _let_986 _let_256 _let_800 _let_882 _let_1067) (SCOPE (TRANS _let_888 (SYMM _let_1216) (SYMM _let_1223) (CONG (TRANS _let_1222 (TRANS _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1246 _let_1245 (CONG _let_1243 _let_1242 :args _let_778) (SYMM _let_1241)) (TRANS _let_1241 (SYMM _let_1239)) (TRANS _let_1239 (CONG (TRANS _let_1238 (SYMM _let_1234)) _let_858 :args _let_778) _let_1237 (CONG _let_1235 _let_1234 :args _let_778) (CONG _let_943 (TRANS _let_1232 (SYMM _let_1228) (SYMM _let_1229) _let_955 _let_959) :args _let_778))) _let_878 :args _let_782) (SYMM (SYMM _let_1231)) (CONG _let_897 (TRANS (CONG _let_1230 _let_878 :args _let_782) _let_1223 _let_1216 _let_889) :args _let_778) _let_1215 _let_1029 _let_1028) :args (_let_583 _let_101 _let_84 _let_597 _let_593 _let_61 _let_599 _let_563 _let_54 _let_595 _let_53 _let_490 _let_100 _let_591 _let_21 _let_587 _let_40 _let_28 _let_24 _let_85 _let_133 _let_495 _let_494 _let_108 _let_483 _let_32 _let_39 _let_590 _let_42))) :args (_let_133 _let_587 _let_590 _let_21 _let_24 _let_28 _let_85 _let_495 _let_108 _let_483 _let_32 _let_39 _let_40 _let_42 _let_591 _let_490 _let_53 _let_54 _let_494 _let_583 _let_84 _let_563 _let_61 _let_593 _let_595 _let_597 _let_100 _let_101 _let_599))) :args (true _let_1214)) :args ((or _let_134 _let_744 _let_741 _let_264 _let_254 _let_287 _let_740 _let_739 _let_1181 _let_556 _let_253 _let_736 _let_734 _let_1057 _let_1213 _let_600 _let_410 _let_729 _let_1212 _let_1211 _let_725 _let_926 _let_722 _let_720 _let_598 _let_717 _let_714 _let_712 _let_711 (not _let_599)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_492 _let_130 QUANTIFIERS_INST_E_MATCHING _let_607)) :args _let_222)) _let_223 :args (_let_599 false _let_11)) (MACRO_RESOLUTION_TRUST _let_1024 _let_707 _let_700 _let_690 _let_687 _let_677 :args (_let_1022 false _let_595 false _let_593 false _let_590 true _let_654 false _let_133)) _let_471 _let_403 _let_710 _let_707 _let_626 _let_622 _let_352 _let_1210 _let_346 _let_700 _let_302 _let_294 _let_269 _let_1208 _let_217 _let_211 _let_205 _let_192 _let_185 _let_162 _let_158 _let_690 _let_679 _let_677 _let_1207 _let_1206 _let_419 _let_1205 _let_378 _let_302 _let_1202 _let_1201 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1182)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_986 _let_833 _let_808 _let_821 _let_823 _let_940 _let_1171 _let_1183 _let_259 _let_256 _let_415 _let_784 _let_787 _let_791 _let_794 _let_796 _let_800 _let_1184 _let_1188 _let_862 _let_1190 _let_1194 _let_1081) (SCOPE (TRANS _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1198 _let_1197 _let_1195 _let_1082 (CONG (SYMM _let_1187) (TRANS _let_1196 _let_1193 _let_1191 (SYMM _let_1186)) :args _let_782) (CONG _let_1187 (TRANS _let_1186 _let_802 _let_789 _let_786 _let_257 _let_260) :args _let_782) (SYMM _let_1183) _let_833 _let_940 _let_1172 _let_1170 (CONG _let_893 _let_1165 :args _let_778)) :args (_let_483 _let_495 _let_54 _let_536 _let_525 _let_564 _let_573 _let_576 _let_24 _let_32 _let_53 _let_85 _let_84 _let_21 _let_40 _let_28 _let_39 _let_108 _let_98 _let_61 _let_578 _let_579 _let_79))) :args (_let_21 _let_24 _let_28 _let_85 _let_495 _let_108 _let_483 _let_32 _let_39 _let_40 _let_53 _let_54 _let_525 _let_84 _let_61 _let_536 _let_576 _let_79 _let_573 _let_578 _let_98 _let_564 _let_579))) :args (true _let_1182)) :args ((or _let_264 _let_254 _let_287 _let_740 _let_739 _let_1181 _let_556 _let_253 _let_736 _let_734 _let_410 _let_729 _let_726 _let_725 _let_575 _let_722 _let_721 (not _let_576) _let_1053 _let_1161 _let_1180 _let_1179 _let_921 _let_1178))) _let_649 _let_378 _let_1177 _let_1160 _let_622 _let_352 _let_346 _let_321 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_306 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_308)) :args _let_307)) _let_306 :args (_let_576 false _let_305)) _let_698 _let_302 _let_294 _let_269 _let_694 _let_211 _let_205 _let_192 _let_185 _let_162 _let_158 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1174)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1175 _let_986) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1176 (CONG _let_893 _let_987 :args _let_778) :args _let_877) (FALSE_INTRO _let_1175))) :args (_let_1162 _let_483))) :args (_let_483 _let_1162))) :args (true _let_1174)) (CONG _let_1153 (MACRO_SR_PRED_INTRO :args ((= (not _let_1162) _let_574))) (REFL :args ((not _let_575))) :args _let_142)) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1164 _let_988 _let_986 _let_794 _let_796 _let_800 _let_791 _let_787 _let_415 _let_784 _let_256 _let_259 _let_1168 _let_833 _let_808 _let_821 _let_823 _let_940 _let_1171 _let_1173) :args (_let_164 _let_21 _let_24 _let_28 _let_85 _let_495 _let_483 _let_32 _let_39 _let_40 _let_53 _let_54 _let_525 _let_84 _let_536 _let_560 _let_574 _let_1159 _let_573 _let_564)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_1173)) (CONG _let_809 _let_893 :args _let_443) (CONG _let_828 (SYMM _let_1169) :args _let_443) (CONG _let_828 (TRANS _let_830 _let_827 _let_936 _let_940 _let_1172 _let_1170 (SYMM _let_1168) _let_261 _let_258 _let_1167 _let_788 _let_1166 (CONG (TRANS _let_801 _let_799 _let_795 _let_1165 _let_988) :args _let_790) (CONG _let_989 :args _let_790)) :args _let_443) (FALSE_INTRO _let_1164))) :args (_let_1159 _let_560 _let_483 _let_40 _let_28 _let_39 _let_21 _let_84 _let_53 _let_85 _let_32 _let_24 _let_574 _let_495 _let_54 _let_536 _let_525 _let_564 _let_573 _let_164)) :args ((not (and _let_164 _let_21 _let_24 _let_28 _let_85 _let_495 _let_483 _let_32 _let_39 _let_40 _let_53 _let_54 _let_525 _let_84 _let_536 _let_560 _let_574 _let_1159 _let_573 _let_564)) SB_LITERAL))) (CONG (REFL :args (_let_175)) _let_770 _let_769 _let_768 _let_767 _let_766 _let_1153 _let_765 _let_763 _let_761 _let_759 _let_758 _let_756 _let_755 _let_752 _let_1152 (REFL :args _let_1163) (MACRO_SR_PRED_INTRO :args ((= (not _let_1159) _let_571))) (REFL :args (_let_1161)) _let_1151 :args _let_142)) :args ((or _let_175 _let_264 _let_254 _let_287 _let_740 _let_739 _let_556 _let_253 _let_736 _let_734 _let_410 _let_729 _let_726 _let_725 _let_571 _let_721 _let_925 _let_1162 _let_1161 _let_921))) _let_649 _let_1160 _let_622 _let_352 _let_346 _let_604 _let_698 _let_294 _let_269 _let_694 _let_211 _let_205 _let_192 _let_185 _let_162 _let_158 _let_178 (REORDERING (CNF_EQUIV_POS1 :args (_let_572)) :args ((or _let_570 _let_1159 (not _let_572)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_568 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition X0 X1)))) :args _let_118)) _let_117 :args (_let_572 false _let_116)) (REORDERING (CNF_AND_POS :args (_let_570 0)) :args ((or _let_569 (not _let_570)))) _let_1158 _let_1157 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_940 _let_1155 _let_1156 _let_988 _let_796 _let_259 _let_784 _let_791 _let_986 _let_823 _let_256 _let_800 _let_794 _let_808 _let_415 _let_833 _let_787 _let_821) (SCOPE (FALSE_ELIM (TRANS (CONG _let_920 (SYMM (TRANS (SYMM (TRANS _let_829 _let_825 _let_822 (CONG (TRANS _let_835 _let_939) :args _let_790) (CONG (TRANS _let_936 (SYMM _let_941)) :args _let_790))) (SYMM (TRANS (CONG (TRANS (CONG _let_988 :args _let_790) (CONG (TRANS _let_989 _let_987 _let_794 _let_803 _let_800) :args _let_790) _let_802 _let_789 _let_786 _let_257 _let_260) _let_935 :args _let_782) (SYMM _let_1156) _let_809 _let_1099 _let_824 (SYMM _let_829))))) :args _let_877) (FALSE_INTRO _let_1155))) :args (_let_564 _let_922 _let_567 _let_560 _let_28 _let_24 _let_85 _let_21 _let_483 _let_525 _let_32 _let_39 _let_40 _let_54 _let_53 _let_495 _let_84 _let_536))) :args (_let_21 _let_24 _let_28 _let_85 _let_495 _let_483 _let_32 _let_39 _let_40 _let_53 _let_54 _let_525 _let_84 _let_536 _let_560 _let_567 _let_922 _let_564))) :args (true _let_1154)) (CONG _let_770 _let_769 _let_768 _let_767 _let_766 _let_1153 _let_765 _let_763 _let_761 _let_759 _let_758 _let_756 _let_755 _let_752 _let_1152 (REFL :args (_let_1150)) (MACRO_SR_PRED_INTRO :args ((= (not _let_922) _let_566))) _let_1151 (REFL :args (_let_1149)) :args _let_142)) :args ((or _let_264 _let_254 _let_287 _let_740 _let_739 _let_556 _let_253 _let_736 _let_734 _let_410 _let_729 _let_726 _let_725 _let_566 _let_721 _let_925 _let_1150 _let_1149 _let_921))) _let_649 _let_622 _let_352 _let_346 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_311 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_313)) :args _let_312)) _let_311 :args (_let_567 false _let_310)) _let_604 _let_698 _let_294 _let_269 _let_694 _let_211 _let_205 _let_192 _let_185 _let_162 _let_158 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1095)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1062 _let_847 _let_415 _let_949 _let_259 _let_256 _let_784 _let_787 _let_791 _let_794 _let_796 _let_800 _let_952 _let_955 _let_808 _let_853 _let_961 _let_971 _let_973 _let_975 _let_963 _let_965 _let_980 _let_821 _let_823 _let_984 _let_986 _let_1100 _let_1102 _let_1122 _let_1124 _let_1104 _let_1109 _let_1110 _let_1113 _let_1114 _let_1118 _let_1130 _let_1131 _let_1134 _let_838 _let_806 _let_1139 _let_1140 _let_1141 _let_1143 _let_1146 _let_1147 _let_1070 _let_1073 _let_1079 _let_1067 _let_1081) (SCOPE (TRANS (CONG (TRANS _let_1069 _let_1084 _let_1074 (SYMM _let_1148)) (TRANS _let_1082 (CONG _let_893 (TRANS _let_965 (SYMM _let_967)) :args _let_782)) :args _let_778) _let_1080 (CONG _let_893 (TRANS _let_981 _let_1078) :args _let_782) _let_1148 _let_1075 _let_1072 (CONG (TRANS _let_986 _let_1100 _let_1102) _let_798 :args _let_782) (SYMM (SYMM _let_1147)) (SYMM (SYMM _let_1146)) (CONG (TRANS _let_1145 _let_415) (REFL :args (_let_1012)) :args _let_778) (CONG (TRANS _let_416 (TRANS _let_415 _let_949 (SYMM _let_1096) _let_961 (SYMM _let_1098) _let_981 _let_978 _let_977 _let_974 _let_972 (CONG _let_828 _let_415 :args _let_782))) (CONG _let_1104 _let_415 :args _let_782) :args _let_778) (SYMM _let_1140) (CONG (TRANS (TRANS (CONG _let_828 _let_1105 :args _let_778) _let_1111) (TRANS (SYMM _let_1128) (CONG _let_1127 (SYMM _let_826) :args _let_778) (CONG _let_1132 (TRANS _let_825 _let_822 _let_984 (SYMM _let_1107) (SYMM _let_1108) _let_1109 (SYMM _let_1117) _let_1119 (SYMM _let_1120) (SYMM _let_1121) (SYMM _let_1129) _let_1130 (SYMM _let_1133) _let_1135 (SYMM _let_1138)) :args _let_778) (SYMM (SYMM _let_1139)) (CONG _let_1105 (REFL :args (_let_515)) :args _let_778) _let_1138 (SYMM _let_1135) _let_1133 (SYMM _let_1130) _let_1129 _let_1121 _let_1120 (SYMM _let_1119) _let_1117 (SYMM _let_1109) _let_1108 _let_1107 _let_985 _let_1099 _let_824) _let_826) _let_416 :args _let_782) _let_971 (SYMM _let_974) _let_976 _let_983 _let_982 _let_1098 _let_962 _let_1096 _let_950 _let_416 _let_934 (CONG _let_934 _let_920 :args _let_778) _let_1063) :args (_let_997 _let_37 _let_53 _let_561 _let_24 _let_32 _let_85 _let_84 _let_21 _let_40 _let_28 _let_39 _let_490 _let_563 _let_54 _let_101 _let_562 _let_52 _let_47 _let_51 _let_424 _let_44 _let_50 _let_536 _let_525 _let_511 _let_483 _let_508 _let_1006 _let_59 _let_58 _let_1019 _let_1008 _let_1004 _let_1001 _let_1020 _let_1007 _let_1018 _let_1010 _let_1011 _let_518 _let_516 _let_1017 _let_1021 _let_535 _let_523 _let_1015 _let_1014 _let_26 _let_63 _let_67 _let_42 _let_79))) :args (_let_1001 _let_508 _let_1004 _let_1006 _let_21 _let_24 _let_26 _let_28 _let_85 _let_483 _let_32 _let_511 _let_37 _let_39 _let_40 _let_42 _let_44 _let_516 _let_47 _let_1007 _let_518 _let_1008 _let_1010 _let_1011 _let_997 _let_1014 _let_50 _let_424 _let_490 _let_53 _let_54 _let_51 _let_52 _let_523 _let_525 _let_84 _let_563 _let_58 _let_1015 _let_1017 _let_1018 _let_59 _let_535 _let_536 _let_1019 _let_1020 _let_63 _let_561 _let_67 _let_1021 _let_562 _let_79 _let_101))) :args (true _let_1095)) :args ((or (not _let_1001) _let_1094 (not _let_1004) (not _let_1006) _let_264 _let_254 _let_288 _let_287 _let_740 _let_556 _let_253 _let_932 _let_738 _let_736 _let_734 _let_1057 _let_931 _let_733 _let_930 (not _let_1007) _let_731 (not _let_1008) (not _let_1010) (not _let_1011) _let_1056 (not _let_1014) _let_929 _let_467 _let_600 _let_410 _let_729 _let_928 _let_927 _let_1093 _let_726 _let_725 _let_926 _let_998 _let_1092 (not _let_1015) (not _let_1017) (not _let_1018) _let_1091 _let_1090 _let_721 (not _let_1019) (not _let_1020) _let_1055 _let_924 _let_1054 (not _let_1021) _let_923 _let_1053 _let_711))) _let_471 _let_465 _let_626 _let_352 _let_346 _let_321 _let_609 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (_let_43 _let_1016 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_224)) :args _let_222)) _let_223 :args (_let_1021 false _let_11)) _let_319 _let_606 _let_304 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args (_let_1000 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)) _let_298 :args (_let_1020 false _let_297)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_298 :args (_let_55 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(MACRO_RESOLUTION_TRUST _let_1051 _let_371 :args (_let_997 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (_let_43 _let_35 _let_55 QUANTIFIERS_INST_E_MATCHING _let_695)) :args _let_370)) _let_371 :args (_let_1011 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (_let_55 tptp.zero _let_35 QUANTIFIERS_INST_E_MATCHING _let_695)) :args _let_370)) _let_371 :args (_let_1010 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (_let_35 _let_55 _let_43 QUANTIFIERS_INST_E_MATCHING _let_372)) :args _let_370)) _let_371 :args (_let_1008 false _let_18)) _let_602 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_35 _let_1000 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_1007 false _let_19)) _let_221 _let_653 _let_219 _let_217 _let_211 _let_205 _let_200 _let_601 _let_192 _let_185 _let_183 _let_162 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_35 _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_1006 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_55 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_1004 false _let_19)) _let_1086 _let_1085 _let_148 (REORDERING (CNF_OR_POS :args (_let_1002)) :args ((or _let_136 _let_509 _let_1001 (not _let_1002)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_343)) :args _let_342)) _let_341 :args (_let_1002 false _let_340)) _let_172 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1059)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1060 _let_853 _let_415 _let_784 _let_847 _let_1067 _let_1070 _let_1073 _let_808 _let_971 _let_973 _let_975 _let_980 _let_1079 _let_965 _let_1081 _let_1062) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS _let_1069 _let_1084 _let_1074 (SYMM _let_1077)) _let_1083 :args _let_778) _let_1080 (CONG _let_893 (TRANS (SYMM _let_982) _let_1078) :args _let_782) _let_1077 _let_1075 _let_1072 (SYMM _let_1069)) (SYMM (TRANS (SYMM (TRANS _let_1061 _let_1066 (CONG _let_855 :args _let_790))) (SYMM (TRANS (SYMM _let_1063) (CONG _let_1061 _let_920 :args _let_778))))) :args _let_877) (FALSE_INTRO _let_1060))) :args (_let_1025 _let_101 _let_53 _let_85 _let_37 _let_42 _let_26 _let_63 _let_54 _let_52 _let_47 _let_51 _let_50 _let_67 _let_44 _let_79 _let_997))) :args (_let_26 _let_85 _let_37 _let_42 _let_44 _let_47 _let_997 _let_50 _let_53 _let_54 _let_51 _let_52 _let_63 _let_67 _let_79 _let_1025 _let_101))) :args (true _let_1059)) (CONG (REFL :args (_let_288)) _let_767 _let_764 _let_1058 (REFL :args (_let_931)) (REFL :args (_let_930)) (REFL :args (_let_1056)) (REFL :args (_let_929)) _let_759 _let_758 (REFL :args (_let_928)) (REFL :args (_let_927)) (REFL :args (_let_1055)) (REFL :args (_let_1054)) (REFL :args (_let_1053)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1025) _let_994))) _let_745 (REFL :args (_let_1052)) :args _let_142)) :args ((or _let_288 _let_740 _let_738 _let_1057 _let_931 _let_930 _let_1056 _let_929 _let_410 _let_729 _let_928 _let_927 _let_994 _let_1055 _let_1054 _let_1053 _let_1052 _let_711))) _let_216 _let_1051 _let_303 _let_318 _let_320 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1026)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_882 _let_879 _let_886 _let_887 _let_888 _let_259 _let_256 _let_415 _let_784 _let_787 _let_791 _let_794 _let_796 _let_800 _let_952 _let_955 _let_808 _let_461 _let_459 _let_853 _let_856 _let_1038 _let_859 _let_949 _let_851 _let_961 _let_971 _let_973 _let_975 _let_847 _let_963 _let_965 _let_980 _let_896 _let_862 _let_872) (SCOPE (TRANS _let_888 (SYMM _let_1035) (SYMM _let_1048) _let_897 _let_880 (SYMM _let_1049) _let_874 (CONG _let_1050 _let_1050 :args _let_778) (CONG _let_867 (TRANS _let_1027 (SYMM _let_897) _let_1048 _let_1035 _let_889 _let_1030) :args _let_778) _let_1029 _let_1028) :args (_let_590 _let_133 _let_595 _let_593 _let_597 _let_24 _let_32 _let_53 _let_85 _let_84 _let_21 _let_40 _let_28 _let_39 _let_490 _let_563 _let_54 _let_430 _let_429 _let_101 _let_100 _let_994 _let_92 _let_561 _let_670 _let_562 _let_52 _let_47 _let_51 _let_37 _let_424 _let_44 _let_50 _let_587 _let_61 _let_94))) :args (_let_133 _let_587 _let_590 _let_21 _let_24 _let_28 _let_85 _let_32 _let_37 _let_39 _let_40 _let_44 _let_47 _let_50 _let_424 _let_430 _let_490 _let_53 _let_54 _let_51 _let_52 _let_84 _let_563 _let_429 _let_670 _let_61 _let_593 _let_561 _let_562 _let_994 _let_595 _let_92 _let_597 _let_94 _let_100 _let_101))) :args (true _let_1026)) :args ((or _let_134 _let_744 _let_741 _let_264 _let_254 _let_287 _let_740 _let_253 _let_738 _let_736 _let_734 _let_931 _let_930 _let_929 _let_467 _let_457 _let_600 _let_410 _let_729 _let_928 _let_927 _let_725 _let_926 _let_456 _let_723 _let_722 _let_720 _let_924 _let_923 _let_1025 _let_598 _let_717 _let_716 _let_714 _let_713 _let_712 _let_711))) _let_678 _let_199 _let_204 _let_202 _let_210 _let_207 _let_218 _let_213 _let_220 _let_225 _let_233 _let_232 _let_237 _let_236 _let_229 _let_293 _let_290 _let_278 _let_289 _let_182 _let_184 _let_286 _let_186 _let_179 _let_177 _let_173 _let_170 _let_166 _let_193 _let_274 _let_273 _let_696 _let_301 _let_605 _let_608 _let_345 _let_344 _let_351 _let_350 _let_349 _let_625 _let_171 _let_624 _let_341 _let_374 _let_196 _let_709 _let_311 _let_376 _let_316 _let_402 _let_401 _let_388 _let_400 _let_396 _let_367 _let_395 _let_390 _let_391 _let_364 _let_360 _let_363 _let_383 _let_382 _let_470 _let_469 _let_427 _let_468 _let_466 _let_464 _let_463 _let_431 _let_454 _let_451 _let_436 _let_450 _let_447 _let_445 _let_420 _let_418 _let_268 _let_247 _let_246 _let_336 _let_329 _let_331 _let_266 _let_252 _let_265 _let_157 _let_159 _let_262 _let_161 _let_154 _let_152 _let_149 _let_147 _let_129 _let_126 _let_120 _let_117 _let_191 _let_189 _let_409 _let_243 _let_1024 _let_676 _let_686 _let_685 _let_144 _let_141 _let_684 _let_683 _let_689 _let_223 _let_699 _let_298 _let_706 _let_371 :args ((or _let_509 _let_556 _let_600) false _let_101 false _let_424 false _let_563 false _let_85 false _let_84 false _let_79 false _let_562 false _let_1021 false _let_67 false _let_561 false _let_63 false _let_1020 false _let_1019 false _let_536 false _let_535 false _let_59 false _let_1018 false _let_1017 false _let_1015 false _let_58 false _let_54 false _let_53 false _let_525 false _let_523 false _let_52 false _let_51 false _let_50 false _let_1014 false _let_997 false _let_1011 false _let_1010 false _let_1008 false _let_518 false _let_1007 false _let_47 false _let_516 false _let_44 false _let_42 false _let_40 false _let_39 false _let_37 false _let_511 false _let_32 false _let_28 false _let_26 false _let_24 false _let_21 false _let_1006 false _let_1004 false _let_508 false _let_510 false _let_123 false _let_1001 false _let_1002 false _let_135 true _let_998 false _let_42 false _let_997 false _let_63 false _let_67 false _let_79 true _let_994 false _let_587 false _let_37 false _let_39 false _let_15 false _let_40 false _let_206 false _let_44 false _let_212 false _let_47 false _let_50 false _let_51 false _let_227 false _let_52 false _let_235 false _let_228 false _let_54 false _let_270 false _let_277 false _let_276 false _let_26 false _let_28 false _let_275 false _let_30 false _let_163 false _let_164 true _let_167 false _let_169 false _let_165 false _let_34 false _let_271 false _let_272 false _let_670 false _let_61 false _let_561 false _let_562 false _let_84 false _let_339 false _let_85 false _let_347 false _let_348 false _let_563 false _let_135 false _let_623 false _let_340 false _let_92 false _let_195 false _let_597 false _let_310 false _let_94 false _let_12 false _let_100 false _let_379 false _let_387 false _let_386 false _let_356 false _let_87 false _let_385 false _let_389 false _let_354 false _let_357 false _let_359 false _let_358 false _let_380 false _let_381 false _let_101 false _let_404 false _let_426 false _let_425 false _let_423 false _let_424 false _let_422 false _let_429 false _let_430 false _let_433 false _let_435 false _let_434 true _let_437 false _let_438 false _let_405 false _let_406 false _let_53 false _let_240 false _let_241 false _let_323 false _let_328 true _let_326 false _let_239 false _let_250 false _let_249 false _let_21 false _let_22 false _let_248 false _let_24 false _let_113 false _let_114 true _let_121 false _let_123 false _let_124 false _let_125 false _let_115 false _let_116 false _let_32 false _let_19 false _let_408 false _let_242 true _let_598 false _let_133 true _let_654 true _let_131 true _let_138 true _let_139 false _let_680 false _let_682 false _let_590 false _let_11 false _let_593 false _let_297 false _let_595 false _let_18)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_933)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_918 _let_847 _let_838 _let_784 _let_415 _let_856 _let_833 _let_808 _let_940 _let_947 _let_949 _let_259 _let_256 _let_787 _let_791 _let_794 _let_796 _let_800 _let_952 _let_955 _let_853 _let_961 _let_971 _let_973 _let_975 _let_963 _let_965 _let_980 _let_984 _let_986 _let_988 _let_992) (SCOPE (TRANS _let_794 (CONG _let_798 (TRANS _let_948 _let_942 _let_938 _let_984 (SYMM _let_990) (SYMM _let_991) _let_993) :args _let_782) (CONG _let_798 (TRANS (SYMM _let_993) _let_991 _let_990 _let_985) :args _let_782) _let_983 _let_982 (CONG (TRANS _let_979 _let_978 _let_977 _let_974 _let_972 _let_970 _let_969) _let_968 :args _let_778) _let_962 (CONG (TRANS (TRANS _let_960 _let_959) (TRANS _let_958 _let_956 _let_954 _let_802 _let_789 _let_786 _let_257 _let_260)) _let_951 :args _let_782) _let_950 _let_416 _let_934 (CONG (SYMM _let_946) _let_948 :args _let_778) (CONG _let_946 (TRANS _let_942 _let_938) :args _let_778) _let_839 (CONG _let_828 _let_934 :args _let_778) (SYMM _let_919)) :args (_let_559 _let_37 _let_518 _let_85 _let_53 _let_100 _let_495 _let_54 _let_564 _let_566 _let_561 _let_24 _let_32 _let_84 _let_21 _let_40 _let_28 _let_39 _let_490 _let_563 _let_101 _let_562 _let_52 _let_47 _let_51 _let_424 _let_44 _let_50 _let_511 _let_483 _let_560 _let_557))) :args (_let_557 _let_21 _let_24 _let_28 _let_85 _let_495 _let_483 _let_32 _let_511 _let_37 _let_39 _let_40 _let_44 _let_47 _let_518 _let_559 _let_50 _let_424 _let_490 _let_53 _let_54 _let_51 _let_52 _let_84 _let_563 _let_560 _let_561 _let_562 _let_566 _let_564 _let_100 _let_101))) :args (true _let_933)) :args ((or (not _let_557) _let_264 _let_254 _let_287 _let_740 _let_739 _let_556 _let_253 _let_932 _let_738 _let_736 _let_734 _let_931 _let_930 _let_731 _let_915 _let_929 _let_467 _let_600 _let_410 _let_729 _let_928 _let_927 _let_725 _let_926 _let_565 _let_925 _let_924 _let_923 _let_922 _let_921 _let_712 _let_711))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_916)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_917 _let_806 _let_847 _let_918) (SCOPE (FALSE_ELIM (TRANS (CONG _let_920 (TRANS _let_919 (CONG _let_828 _let_848 :args _let_778) _let_807) :args _let_877) (FALSE_INTRO _let_917))) :args (_let_675 _let_516 _let_37 _let_559))) :args (_let_37 _let_516 _let_559 _let_675))) :args (true _let_916)) (CONG _let_764 _let_760 (REFL :args (_let_915)) (MACRO_SR_PRED_INTRO :args ((= (not _let_675) _let_650))) (REFL :args (_let_651)) :args _let_142)) :args ((or _let_738 _let_733 _let_650 _let_915 _let_651))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_875 _let_879 _let_887 _let_886 _let_882 _let_888 _let_259 _let_256 _let_415 _let_784 _let_787 _let_791 _let_794 _let_796 _let_800 _let_804 _let_806 _let_808 _let_813 _let_821 _let_823 _let_833 _let_838 _let_840 _let_891 _let_894 _let_896 _let_898 _let_900 _let_902 _let_904 _let_906 _let_779) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_781 _let_910 _let_909 _let_895 _let_908 _let_905 _let_903 _let_901 _let_892 _let_890 _let_889) (SYMM (TRANS (SYMM _let_914) (SYMM (TRANS (CONG _let_867 (TRANS _let_781 _let_910 _let_909 _let_895 _let_908 _let_905 _let_903 _let_901 _let_892 _let_890 _let_889 _let_887) :args _let_778) _let_886 (SYMM _let_885))))) :args _let_877) _let_876)) :args (_let_681 _let_133 _let_593 _let_595 _let_590 _let_597 _let_24 _let_32 _let_53 _let_85 _let_84 _let_21 _let_40 _let_28 _let_39 _let_650 _let_516 _let_54 _let_538 _let_536 _let_525 _let_495 _let_518 _let_539 _let_671 _let_656 _let_587 _let_659 _let_661 _let_672 _let_667 _let_664 _let_674))) (MODUS_PONENS (AND_INTRO _let_779 _let_259 _let_256 _let_415 _let_784 _let_787 _let_791 _let_794 _let_796 _let_800 _let_804 _let_806 _let_808 _let_813 _let_821 _let_823 _let_833 _let_838 _let_840 _let_461 _let_459 _let_853 _let_856 _let_847 _let_849 _let_850 _let_851 _let_859 _let_862 _let_872) (SCOPE (TRANS _let_781 (SYMM _let_844) (SYMM _let_861) (SYMM _let_865) (SYMM _let_866) (SYMM _let_868) _let_874 (CONG _let_871 _let_871 :args _let_778) (CONG _let_867 (TRANS _let_866 _let_865 _let_861 _let_844 (SYMM _let_781)) :args _let_778)) :args (_let_674 _let_24 _let_32 _let_53 _let_85 _let_84 _let_21 _let_40 _let_28 _let_39 _let_650 _let_516 _let_54 _let_538 _let_536 _let_525 _let_495 _let_518 _let_539 _let_430 _let_429 _let_101 _let_100 _let_37 _let_665 _let_669 _let_670 _let_92 _let_61 _let_94)))) :args (_let_133 _let_587 _let_681 _let_656 _let_659 _let_590 _let_21 _let_24 _let_28 _let_85 _let_495 _let_32 _let_37 _let_661 _let_39 _let_664 _let_40 _let_516 _let_665 _let_518 _let_667 _let_430 _let_53 _let_54 _let_650 _let_538 _let_539 _let_525 _let_84 _let_429 _let_669 _let_670 _let_61 _let_536 _let_593 _let_671 _let_672 _let_595 _let_92 _let_674 _let_597 _let_94 _let_100 _let_101)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_777)))) (TRUE_INTRO (ASSUME :args (_let_776))))) :args (_let_777 _let_776)) :args ((not (and _let_133 _let_587 _let_681 _let_656 _let_659 _let_590 _let_21 _let_24 _let_28 _let_85 _let_495 _let_32 _let_37 _let_661 _let_39 _let_664 _let_40 _let_516 _let_665 _let_518 _let_667 _let_430 _let_53 _let_54 _let_650 _let_538 _let_539 _let_525 _let_84 _let_429 _let_669 _let_670 _let_61 _let_536 _let_593 _let_671 _let_672 _let_595 _let_92 _let_674 _let_597 _let_94 _let_100 _let_101)) SB_LITERAL))) (CONG _let_775 _let_774 _let_773 (REFL :args (_let_743)) _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 (REFL :args (_let_737)) _let_763 _let_762 _let_761 _let_760 (REFL :args (_let_732)) (REFL :args (_let_731)) (REFL :args (_let_730)) (REFL :args (_let_457)) _let_759 _let_758 (REFL :args _let_757) (REFL :args (_let_728)) (REFL :args (_let_727)) _let_756 _let_755 (REFL :args (_let_456)) (REFL :args (_let_724)) _let_754 _let_753 _let_752 _let_751 (REFL :args (_let_719)) (REFL :args (_let_718)) _let_750 _let_749 _let_748 (REFL :args (_let_714)) _let_747 _let_746 _let_745 :args _let_142)) :args ((or _let_134 _let_654 _let_744 _let_743 _let_742 _let_741 _let_264 _let_254 _let_287 _let_740 _let_739 _let_253 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_457 _let_410 _let_729 _let_675 _let_728 _let_727 _let_726 _let_725 _let_456 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711))) _let_471 _let_403 _let_377 _let_710 _let_708 _let_375 _let_707 _let_455 _let_622 _let_352 _let_705 _let_703 _let_346 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (_let_514 _let_657 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_201)) _let_202 :args (_let_672 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (_let_514 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_201)) _let_202 :args (_let_671 false _let_15)) _let_700 _let_698 _let_302 _let_697 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_371 :args (_let_35 _let_35 _let_43 QUANTIFIERS_INST_E_MATCHING _let_695)) :args _let_370)) _let_371 :args (_let_669 false _let_18)) _let_432 _let_294 _let_269 _let_694 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_662 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_201)) _let_202 :args (_let_667 false _let_15)) _let_602 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_35 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_665 false _let_19)) _let_653 _let_211 _let_691 _let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_657 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_201)) _let_202 :args (_let_661 false _let_15)) _let_200 _let_192 _let_185 _let_162 _let_158 _let_690 _let_688 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_203)) :args _let_201)) _let_202 :args (_let_656 false _let_15)) _let_687 _let_679 _let_677 :args (_let_675 false _let_101 false _let_100 false _let_94 false _let_597 false _let_674 false _let_92 false _let_595 false _let_430 false _let_495 false _let_85 false _let_539 false _let_538 false _let_84 false _let_672 false _let_671 false _let_593 false _let_536 false _let_61 false _let_670 false _let_669 false _let_429 false _let_54 false _let_53 false _let_525 false _let_667 false _let_518 false _let_665 false _let_516 false _let_40 false _let_664 false _let_39 false _let_661 false _let_37 false _let_32 false _let_28 false _let_24 false _let_21 false _let_590 false _let_659 false _let_656 true _let_654 false _let_587 false _let_133)) _let_603 _let_653 _let_200 :args (_let_651 true _let_650 false _let_559 false _let_516 false _let_37)) _let_471 _let_403 _let_649 _let_465 _let_626 _let_622 _let_352 _let_346 _let_609 _let_606 _let_604 _let_294 _let_269 _let_238 _let_234 _let_226 _let_603 _let_602 _let_221 _let_219 _let_211 _let_205 _let_200 _let_601 _let_192 _let_185 _let_162 _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_482 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_557 false _let_19)) :args ((or _let_556 _let_600) false _let_599 true _let_598 false _let_101 false _let_100 false _let_597 false _let_595 false _let_563 false _let_495 false _let_85 false _let_494 false _let_84 false _let_593 false _let_61 false _let_54 false _let_53 false _let_591 false _let_42 false _let_40 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 false _let_590 false _let_587 false _let_133 false _let_583 false _let_585 false _let_406 false _let_582 false _let_98 false _let_61 false _let_580 false _let_581 true _let_579 false _let_564 false _let_98 false _let_578 false _let_573 false _let_495 false _let_85 false _let_84 false _let_79 false _let_576 false _let_536 false _let_61 false _let_54 false _let_53 false _let_525 false _let_40 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 true _let_575 true _let_574 false _let_564 false _let_573 false _let_495 false _let_85 false _let_84 false _let_560 false _let_536 false _let_54 false _let_53 false _let_525 false _let_40 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 false _let_164 true _let_571 false _let_572 true _let_570 false _let_108 false _let_506 true _let_569 false _let_564 false _let_495 false _let_85 false _let_84 false _let_567 false _let_560 false _let_536 false _let_54 false _let_53 false _let_525 false _let_40 false _let_39 false _let_32 false _let_28 false _let_24 false _let_21 true _let_505 true _let_566 true _let_565 false _let_101 false _let_100 false _let_564 false _let_424 false _let_563 false _let_495 false _let_85 false _let_84 false _let_562 false _let_561 false _let_560 false _let_54 false _let_53 false _let_52 false _let_51 false _let_50 false _let_559 false _let_518 false _let_47 false _let_44 false _let_40 false _let_39 false _let_37 false _let_511 false _let_32 false _let_28 false _let_24 false _let_21 false _let_557)) :args (_let_556 false _let_555 false _let_554 false _let_552 false _let_551 false _let_550 false _let_549 false _let_548 false _let_547 false _let_546 false _let_545 false _let_544 false _let_543 false _let_541 false _let_540 false _let_100 false _let_495 false _let_85 false _let_539 false _let_538 false _let_494 false _let_79 false _let_537 false _let_63 false _let_536 false _let_535 false _let_534 false _let_531 false _let_530 false _let_528 false _let_54 false _let_53 false _let_527 false _let_525 false _let_523 false _let_52 false _let_51 false _let_520 false _let_518 false _let_47 false _let_516 false _let_42 false _let_512 false _let_37 false _let_511 false _let_28 false _let_26 false _let_508 false _let_510 false _let_123 false _let_505 false _let_506 true _let_108 false _let_503 false _let_504 false _let_135 false _let_500 false _let_502 false _let_497 false _let_498 true _let_496 false _let_495 false _let_494 true _let_490)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_486 :args (_let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) _let_486 :args (_let_484 false _let_485)) :args (_let_480 true _let_483 false _let_484)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_481 false _let_125)) :args (_let_479 false _let_480 false _let_481)) :args (_let_476 true _let_478)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_477 false _let_116)) :args (_let_475 false _let_476 false _let_477)))) (let ((_let_1548 (not _let_475))) (let ((_let_1549 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_475 2)) :args ((or _let_107 _let_1548))) _let_1547 :args (_let_107 false _let_475)))) (let ((_let_1550 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_1551 (not _let_1550))) (let ((_let_1552 (= _let_505 _let_1551))) (let ((_let_1553 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1554 (= tptp.one _let_70))) (let ((_let_1555 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_1556 (= tptp.zero _let_1555))) (let ((_let_1557 (and _let_1556 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_1554))) (let ((_let_1558 (= _let_1553 _let_1557))) (let ((_let_1559 (not _let_1553))) (let ((_let_1560 (= _let_594 (tptp.addition _let_130 _let_88)))) (let ((_let_1561 (= _let_588 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_88)))) (let ((_let_1562 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_1563 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1564 (= (tptp.multiplication _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_1278 _let_1563)))) (let ((_let_1565 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_588))) (let ((_let_1566 (tptp.addition _let_1278 _let_1565))) (let ((_let_1567 (tptp.addition _let_1278 _let_1566))) (let ((_let_1568 (= _let_1567 (tptp.addition _let_1279 _let_1565)))) (let ((_let_1569 (= (tptp.multiplication _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1555)))) (let ((_let_1570 (tptp.addition _let_473 _let_1563))) (let ((_let_1571 (= _let_1565 _let_1570))) (let ((_let_1572 (tptp.addition _let_1278 _let_130))) (let ((_let_1573 (= (tptp.addition _let_130 _let_1278) _let_1572))) (let ((_let_1574 (= _let_1567 (tptp.addition _let_1566 _let_1278)))) (let ((_let_1575 (= (tptp.addition _let_1279 _let_1570) (tptp.addition (tptp.addition _let_1279 _let_473) _let_1563)))) (let ((_let_1576 (= _let_1278 (tptp.addition _let_1278 tptp.zero)))) (let ((_let_1577 (tptp.multiplication _let_89 tptp.one))) (let ((_let_1578 (= (tptp.multiplication _let_89 _let_673) (tptp.multiplication _let_1577 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_1579 (= (tptp.multiplication tptp.one (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_89)) (tptp.multiplication _let_673 _let_89)))) (let ((_let_1580 (= _let_88 (tptp.multiplication _let_88 tptp.one)))) (let ((_let_1581 (= _let_89 _let_1577))) (let ((_let_1582 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1583 (= (tptp.multiplication _let_1582 _let_70) (tptp.addition (tptp.multiplication _let_1582 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication _let_1582 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_1584 (not _let_1557))) (let ((_let_1585 (not _let_91))) (let ((_let_1586 (not _let_90))) (let ((_let_1587 (not _let_107))) (let ((_let_1588 (REFL :args (_let_1587)))) (let ((_let_1589 (= _let_130 _let_1572))) (let ((_let_1590 (not _let_1589))) (let ((_let_1591 (ASSUME :args (_let_1573)))) (let ((_let_1592 (SYMM _let_1591))) (let ((_let_1593 (ASSUME :args (_let_1576)))) (let ((_let_1594 (SYMM (SYMM _let_1593)))) (let ((_let_1595 (SYMM _let_1594))) (let ((_let_1596 (ASSUME :args (_let_1556)))) (let ((_let_1597 (SYMM (SYMM _let_1596)))) (let ((_let_1598 (REFL :args (_let_1555)))) (let ((_let_1599 (SYMM _let_417))) (let ((_let_1600 (CONG _let_1599 :args _let_790))) (let ((_let_1601 (TRANS _let_1064 _let_1600))) (let ((_let_1602 (ASSUME :args (_let_1569)))) (let ((_let_1603 (SYMM _let_1602))) (let ((_let_1604 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_1605 (SYMM _let_1601))) (let ((_let_1606 (TRANS _let_1445 (CONG (TRANS _let_854 _let_1605) _let_863 :args _let_782)))) (let ((_let_1607 (ASSUME :args (_let_1583)))) (let ((_let_1608 (SYMM _let_1607))) (let ((_let_1609 (REFL :args (_let_70)))) (let ((_let_1610 (ASSUME :args (_let_1554)))) (let ((_let_1611 (SYMM _let_1610))) (let ((_let_1612 (ASSUME :args (_let_1580)))) (let ((_let_1613 (SYMM _let_1612))) (let ((_let_1614 (TRANS (SYMM _let_1613) (CONG _let_867 (SYMM _let_1611) :args _let_782) (CONG (SYMM _let_1606) _let_1609 :args _let_782) (SYMM _let_1608) (CONG (CONG _let_1606 _let_783 :args _let_782) (TRANS (CONG _let_1606 _let_1604 :args _let_782) (SYMM _let_1603) (CONG _let_1601 _let_1598 :args _let_782) (CONG _let_1235 (SYMM _let_1597) :args _let_782) (SYMM _let_1471)) :args _let_778) _let_1595))) (let ((_let_1615 (ASSUME :args (_let_1560)))) (let ((_let_1616 (SYMM _let_1615))) (let ((_let_1617 (ASSUME :args (_let_1561)))) (let ((_let_1618 (SYMM _let_1617))) (let ((_let_1619 (ASSUME :args (_let_1562)))) (let ((_let_1620 (ASSUME :args (_let_107)))) (let ((_let_1621 (SYMM _let_1620))) (let ((_let_1622 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_1623 (CONG (TRANS (TRANS _let_857 _let_1600) _let_1605) _let_863 :args _let_782))) (let ((_let_1624 (TRANS (SYMM _let_1623) _let_1427))) (let ((_let_1625 (CONG (TRANS (CONG _let_1624 _let_1624 :args _let_778) _let_873 _let_1623) _let_1622 :args _let_778))) (let ((_let_1626 (ASSUME :args (_let_91)))) (let ((_let_1627 (SYMM _let_1626))) (let ((_let_1628 (SYMM _let_1627))) (let ((_let_1629 (ASSUME :args (_let_90)))) (let ((_let_1630 (CONG _let_867 (SYMM _let_1629) :args 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(REFL :args (_let_1563)) :args _let_778))) (let ((_let_1644 (ASSUME :args (_let_1575)))) (let ((_let_1645 (SYMM _let_1644))) (let ((_let_1646 (ASSUME :args (_let_1571)))) (let ((_let_1647 (CONG (REFL :args (_let_1279)) (SYMM (SYMM _let_1646)) :args _let_778))) (let ((_let_1648 (ASSUME :args (_let_1574)))) (let ((_let_1649 (ASSUME :args (_let_1568)))) (let ((_let_1650 (TRANS _let_1445 (CONG (TRANS _let_854 _let_943) _let_863 :args _let_782)))) (let ((_let_1651 (SYMM _let_1650))) (let ((_let_1652 (_let_1551))) (let ((_let_1653 (MACRO_RESOLUTION_TRUST _let_1158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_1552)) :args ((or _let_509 _let_1551 (not _let_1552)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_1652)) :args _let_1652) (REWRITE :args ((=> _let_1551 (not _let_1559)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1551) _let_1550))) (REFL :args (_let_1553)) :args _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_1558)) :args ((or _let_1559 _let_1557 (not _let_1558)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_875 _let_1615 _let_1612 _let_1610 _let_784 _let_415 _let_853 _let_862 _let_1607 _let_1602 _let_1596 _let_1470 _let_1593 _let_1591) (SCOPE (FALSE_ELIM (TRANS (CONG _let_878 (TRANS _let_1592 (CONG _let_878 (TRANS _let_1594 (CONG (CONG _let_1651 _let_783 :args _let_782) (TRANS _let_1471 (CONG _let_1235 _let_1597 :args _let_782) (CONG _let_943 _let_1598 :args _let_782) _let_1603 (CONG _let_1651 _let_1604 :args _let_782)) :args _let_778) _let_1608 (CONG _let_1650 _let_1609 :args _let_782) (CONG _let_867 _let_1611 :args _let_782) _let_1613) :args _let_778) _let_1616) :args _let_877) _let_876)) :args (_let_681 _let_1560 _let_1580 _let_1554 _let_85 _let_53 _let_101 _let_61 _let_1583 _let_1569 _let_1556 _let_81 _let_1576 _let_1573))) (MODUS_PONENS (AND_INTRO _let_1591 _let_1593 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_let_1562 _let_107 _let_100 _let_94 _let_91 _let_90 _let_674 _let_1579 _let_1581 _let_1578 _let_1564 _let_474 _let_1280 _let_1575 _let_1571 _let_1574 _let_1568)))) :args (_let_133 _let_681 _let_1560 _let_590 _let_85 _let_1561 _let_1556 _let_1554 _let_53 _let_61 _let_81 _let_474 _let_107 _let_90 _let_91 _let_1562 _let_674 _let_1280 _let_94 _let_1564 _let_100 _let_101 _let_1568 _let_1569 _let_1571 _let_1573 _let_1574 _let_1575 _let_1576 _let_1578 _let_1579 _let_1580 _let_1581 _let_1583)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_1590)))) (TRUE_INTRO (ASSUME :args (_let_1589))))) :args (_let_1590 _let_1589)) :args ((not (and _let_133 _let_681 _let_1560 _let_590 _let_85 _let_1561 _let_1556 _let_1554 _let_53 _let_61 _let_81 _let_474 _let_107 _let_90 _let_91 _let_1562 _let_674 _let_1280 _let_94 _let_1564 _let_100 _let_101 _let_1568 _let_1569 _let_1571 _let_1573 _let_1574 _let_1575 _let_1576 _let_1578 _let_1579 _let_1580 _let_1581 _let_1583)) SB_LITERAL))) (CONG 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_1655 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_1656 (tptp.addition _let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_1657 (= _let_1656 _let_109))) (let ((_let_1658 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_1659 (tptp.addition _let_1658 _let_88))) (let ((_let_1660 (tptp.addition _let_88 _let_1658))) (let ((_let_1661 (= _let_1660 _let_1659))) (let ((_let_1662 (= _let_1660 _let_1656))) (let ((_let_1663 (not _let_110))) (let ((_let_1664 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_1665 (= _let_1664 _let_1654))) (let ((_let_1666 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_1667 (not _let_1666))) (let ((_let_1668 (or _let_1667 _let_1665))) (let ((_let_1669 (and _let_123 _let_85 _let_53 _let_100))) (let ((_let_1670 (_let_123 _let_85 _let_53 _let_100))) (let ((_let_1671 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1669)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1292 _let_784 _let_415 _let_856) (SCOPE (TRUE_ELIM (TRANS (CONG _let_858 :args _let_414) (CONG _let_943 :args _let_414) _let_1293)) :args _let_1670)) :args _let_1670)) :args (true _let_1669)) :args ((or _let_137 _let_740 _let_1666 _let_410 _let_712))) _let_148 _let_352 _let_269 _let_403 :args (_let_1666 false _let_123 false _let_85 false _let_53 false _let_100)))) (let ((_let_1672 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_1673 (= tptp.one _let_1672))) (let ((_let_1674 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_1675 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_1676 (and _let_1675 _let_1674 _let_1673))) (let ((_let_1677 (= _let_1664 _let_1676))) (let ((_let_1678 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_1679 (= _let_1678 _let_1672))) (let ((_let_1680 (= tptp.one _let_1678))) (let ((_let_1681 (and _let_1674 _let_1675 _let_1680))) (let ((_let_1682 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_1683 (= _let_1682 _let_1681))) (let ((_let_1684 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_1685 (not _let_1684))) (let ((_let_1686 (= _let_1666 _let_1685))) (let ((_let_1687 (not _let_1682))) (let ((_let_1688 (_let_1685))) (let ((_let_1689 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_1683)) :args ((or _let_1687 _let_1681 (not _let_1683)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_1688)) :args _let_1688) (REWRITE :args ((=> _let_1685 (not _let_1687)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1685) _let_1684))) (REFL :args (_let_1682)) :args _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_1686)) :args ((or _let_1667 _let_1685 (not _let_1686)))) _let_1671 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_1686 false _let_125)) :args (_let_1685 false _let_1666 false _let_1686)) :args (_let_1682 true _let_1684)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_1683 false _let_116)) :args (_let_1681 false _let_1682 false _let_1683)))) (let ((_let_1690 (not _let_1681))) (let ((_let_1691 (and _let_1680 _let_1679))) (let ((_let_1692 (ASSUME :args (_let_1679)))) (let ((_let_1693 (ASSUME :args (_let_1680)))) (let ((_let_1694 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_89 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_188)) _let_189 :args (_let_1657 false _let_19)))) (let ((_let_1695 (not _let_1657))) (let ((_let_1696 (not _let_65))) (let ((_let_1697 (and _let_133 _let_587 _let_590 _let_21 _let_24 _let_28 _let_85 _let_495 _let_32 _let_39 _let_1272 _let_40 _let_42 _let_53 _let_54 _let_1273 _let_523 _let_525 _let_583 _let_84 _let_670 _let_61 _let_535 _let_536 _let_593 _let_65 _let_107 _let_90 _let_595 _let_91 _let_597 _let_94 _let_100 _let_101 _let_1657 _let_547 _let_1274))) (let ((_let_1698 (TRANS (SYMM _let_1218) _let_1427))) (let ((_let_1699 (CONG (TRANS (CONG _let_1698 _let_1698 :args _let_778) _let_873 _let_1218) _let_1622 :args _let_778))) (let ((_let_1700 (CONG _let_854 (TRANS _let_1630 _let_1628 _let_1699 _let_1621 _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1233) :args _let_778))) (let ((_let_1701 (SYMM _let_1699))) (let ((_let_1702 (CONG _let_864 (TRANS _let_1701 _let_1627 _let_1632) :args _let_778))) (let ((_let_1703 (ASSUME :args (_let_1657)))) (let ((_let_1704 (SYMM _let_1703))) (let ((_let_1705 (SYMM _let_1704))) (let ((_let_1706 (CONG _let_1635 _let_853 :args _let_778))) (let ((_let_1707 (CONG _let_1635 _let_957 :args _let_778))) (let ((_let_1708 (ASSUME :args (_let_65)))) (let ((_let_1709 (SYMM _let_1708))) (let ((_let_1710 (CONG _let_1635 (TRANS _let_1516 (CONG _let_1145 :args _let_790) _let_815 _let_856) :args _let_782))) (let ((_let_1711 (CONG (TRANS (TRANS (CONG _let_1635 _let_1240 :args _let_782) (SYMM _let_1710)) (TRANS _let_1710 (CONG _let_1635 (TRANS _let_857 _let_818 (SYMM _let_1345) (SYMM _let_1346)) :args _let_782) (CONG _let_1621 (TRANS _let_1346 _let_1345 _let_815 _let_785) :args _let_782) _let_1709 _let_784 _let_818)) (TRANS _let_1621 _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1233) :args _let_778))) (let ((_let_1712 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1697)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1626 _let_1340 _let_1321 _let_1323 _let_1703 _let_853 _let_1067 _let_882 _let_1141 _let_856 _let_415 _let_886 _let_833 _let_784 _let_259 _let_872 _let_879 _let_796 _let_794 _let_1327 _let_823 _let_1143 _let_800 _let_791 _let_808 _let_896 _let_851 _let_1244 _let_862 _let_1620 _let_821 _let_787 _let_256 _let_887 _let_888 _let_1708 _let_1629) (SCOPE (TRANS _let_1327 _let_1354 _let_1353 _let_1352 _let_888 (CONG (TRANS (TRANS _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1246 _let_1245 _let_1351 (CONG _let_1620 _let_858 :args _let_778) _let_1706 _let_1705 _let_1702 _let_1700 (SYMM _let_1711)) (TRANS _let_1711 (SYMM _let_1700) (SYMM _let_1702) _let_1704 (SYMM _let_1706) (SYMM _let_1707)) (TRANS _let_1707 _let_1706 _let_1705 _let_1702 _let_1700 _let_1343)) _let_878 :args _let_782) _let_1341 _let_1339 _let_1215 _let_1029 _let_1028 _let_1338) :args (_let_91 _let_1274 _let_547 _let_1273 _let_1657 _let_101 _let_42 _let_590 _let_535 _let_100 _let_53 _let_595 _let_495 _let_85 _let_24 _let_94 _let_133 _let_28 _let_40 _let_1272 _let_525 _let_523 _let_39 _let_21 _let_54 _let_587 _let_670 _let_583 _let_61 _let_107 _let_536 _let_84 _let_32 _let_593 _let_597 _let_65 _let_90))) :args (_let_133 _let_587 _let_590 _let_21 _let_24 _let_28 _let_85 _let_495 _let_32 _let_39 _let_1272 _let_40 _let_42 _let_53 _let_54 _let_1273 _let_523 _let_525 _let_583 _let_84 _let_670 _let_61 _let_535 _let_536 _let_593 _let_65 _let_107 _let_90 _let_595 _let_91 _let_597 _let_94 _let_100 _let_101 _let_1657 _let_547 _let_1274))) :args (true _let_1697)) :args ((or _let_134 _let_744 _let_741 _let_264 _let_254 _let_287 _let_740 _let_739 _let_253 _let_736 _let_1319 _let_734 _let_1057 _let_410 _let_729 _let_1318 _let_1093 _let_726 _let_1211 _let_725 _let_723 _let_722 _let_1090 _let_721 _let_720 _let_1696 _let_1587 _let_1586 _let_717 _let_1585 _let_714 _let_713 _let_712 _let_711 _let_1695 _let_1275 _let_1317 _let_1332))) _let_677 _let_679 _let_690 _let_158 _let_162 _let_185 _let_352 _let_622 _let_192 _let_205 _let_1311 _let_211 _let_217 _let_269 _let_294 _let_1313 _let_1088 _let_694 _let_346 _let_697 _let_302 _let_1089 _let_698 _let_700 _let_314 _let_1549 _let_369 _let_707 _let_373 _let_710 _let_377 _let_403 _let_471 _let_1694 _let_1331 _let_1314 _let_1315 :args (_let_1211 false _let_133 false _let_587 false _let_590 false _let_21 false _let_24 false _let_28 false _let_85 false _let_495 false _let_32 false _let_39 false _let_1272 false _let_40 false _let_42 false _let_53 false _let_54 false _let_1273 false _let_523 false _let_525 false _let_84 false _let_670 false _let_61 false _let_535 false _let_536 false _let_593 false _let_65 false _let_107 false _let_90 false _let_595 false _let_91 false _let_597 false _let_94 false _let_100 false _let_101 false _let_1657 true _let_1275 false _let_547 false _let_1274)))) (let ((_let_1713 (not _let_1654))) (let ((_let_1714 (not _let_1655))) (let ((_let_1715 (not _let_1661))) (let ((_let_1716 (not _let_1662))) (let ((_let_1717 (and _let_21 _let_24 _let_28 _let_85 _let_32 _let_39 _let_40 _let_42 _let_356 _let_53 _let_84 _let_1211 _let_107 _let_1662 _let_100 _let_101 _let_1661 _let_1657 _let_1655 _let_1654))) (let ((_let_1718 (not (= tptp.one _let_1659)))) (let ((_let_1719 (ASSUME :args (_let_1662)))) (let ((_let_1720 (SYMM _let_1719))) (let ((_let_1721 (ASSUME :args (_let_1661)))) (let ((_let_1722 (ASSUME :args (_let_1654)))) (let ((_let_1723 (SYMM (CONG (TRANS (CONG (TRANS _let_1413 _let_794 _let_803 _let_800) :args _let_790) _let_1410) (CONG (TRANS (SYMM _let_1722) _let_945 _let_944) :args _let_790) :args _let_778)))) (let ((_let_1724 (CONG (TRANS (SYMM _let_793) _let_794 _let_803 _let_800) :args _let_790))) (let ((_let_1725 (SYMM _let_789))) (let ((_let_1726 (CONG _let_1599 _let_1064 :args _let_778))) (let ((_let_1727 (SYMM _let_1621))) (let ((_let_1728 (ASSUME :args (_let_1655)))) (let ((_let_1729 (CONG (TRANS _let_801 _let_799 _let_795 (SYMM (SYMM _let_1728)) (CONG _let_1414 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) :args _let_782)) :args _let_790))) (let ((_let_1730 (tptp.test _let_55))) (let ((_let_1731 (or _let_1730 _let_112))) (let ((_let_1732 (not _let_1730))) (let ((_let_1733 (and _let_108 _let_584 _let_58 _let_59))) (let ((_let_1734 (ASSUME :args (_let_584)))) (let ((_let_1735 (and _let_21 _let_22 _let_24 _let_26 _let_28 _let_30 _let_85 _let_108 _let_32 _let_34 _let_37 _let_39 _let_40 _let_42 _let_44 _let_47 _let_50 _let_87 _let_53 _let_54 _let_112 _let_51 _let_83 _let_52 _let_84 _let_58 _let_59 _let_61 _let_63 _let_64 _let_65 _let_67 _let_71 _let_72 _let_77 _let_79 _let_81 _let_107 _let_90 _let_91 _let_92 _let_94 _let_97 _let_98 _let_99 _let_100 _let_101 _let_102 _let_103 _let_104 _let_106))) (let ((_let_1736 (CONG _let_893 (TRANS _let_1046 _let_978 _let_977 _let_974 _let_972 _let_970 _let_969) :args _let_782))) (let ((_let_1737 (ASSUME :args (_let_99)))) (let ((_let_1738 (SYMM _let_1737))) (let ((_let_1739 (ASSUME :args (_let_71)))) (let ((_let_1740 (ASSUME :args (_let_87)))) (let ((_let_1741 (ASSUME :args (_let_103)))) (let ((_let_1742 (ASSUME :args (_let_77)))) (let ((_let_1743 (TRANS (CONG _let_1609 (TRANS _let_854 _let_815 _let_785) :args _let_782) (CONG _let_1609 _let_1240 :args _let_782) _let_1742))) (let ((_let_1744 (ASSUME :args (_let_72)))) (let ((_let_1745 (ASSUME :args (_let_97)))) (let ((_let_1746 (ASSUME :args (_let_102)))) (let ((_let_1747 (CONG _let_1604 _let_1740 :args _let_782))) (let ((_let_1748 (ASSUME :args (_let_104)))) (let ((_let_1749 (CONG (TRANS (SYMM (SYMM _let_1748)) (CONG (REFL :args (_let_96)) (TRANS _let_1737 _let_1747 (SYMM _let_1746)) :args _let_778) (SYMM _let_1745) (CONG (TRANS (SYMM _let_1743) _let_1744) _let_416 :args _let_782) (CONG (TRANS (SYMM _let_1744) _let_1743 (SYMM _let_1742)) _let_417 :args _let_782) (SYMM _let_1741) (CONG _let_1609 (SYMM 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(let ((_let_1757 (TRANS (CONG (TRANS _let_1303 _let_1755) _let_943 :args _let_782) _let_1709 _let_784 _let_818))) (let ((_let_1758 (ASSUME :args (_let_112)))) (let ((_let_1759 (SYMM _let_1758))) (let ((_let_1760 (SYMM _let_1759))) (let ((_let_1761 (CONG (TRANS (CONG (TRANS _let_1303 _let_1344 _let_802 _let_789 _let_786 _let_257 _let_260 _let_284 _let_282) :args _let_790) (CONG (TRANS _let_283 _let_285 _let_259) :args _let_790) _let_1467 (CONG _let_417 _let_785 :args _let_782) _let_1465 _let_794 _let_803 _let_800) :args _let_790))) (let ((_let_1762 (CONG _let_944 :args _let_790))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1735)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_853 _let_784 _let_415 _let_856 _let_862 _let_872 _let_1626 _let_1629 _let_1620 _let_259 _let_256 _let_787 _let_791 _let_794 _let_796 _let_800 _let_1708 _let_284 _let_808 _let_1184 _let_1122 _let_1124 _let_1067 _let_1070 _let_1073 _let_971 _let_973 _let_975 _let_847 _let_980 _let_1079 _let_965 _let_1081 _let_1188 _let_1737 _let_1739 _let_1740 _let_1741 _let_1742 _let_1744 _let_1745 _let_1746 _let_1748 _let_1750 _let_1758 _let_859 _let_1296 _let_1464 _let_1466 _let_282 _let_1470) (SCOPE (TRANS _let_1621 _let_259 _let_256 _let_1200 _let_788 _let_1199 _let_1350 _let_1349 _let_1759 _let_1471 (CONG (SYMM _let_1762) (TRANS _let_1760 _let_1303 _let_1344 (SYMM _let_1761)) :args _let_782) (CONG _let_1762 (TRANS _let_1761 _let_1233) :args _let_782) (CONG _let_943 _let_1342 :args _let_782) _let_1297 _let_784 _let_856 _let_860 (CONG (TRANS _let_858 (SYMM _let_1757)) (TRANS _let_1760 _let_1303 _let_1344 _let_1754 _let_1750 (SYMM _let_1753) (SYMM _let_1756)) :args _let_778) (CONG _let_1757 (TRANS _let_1756 _let_1753 (SYMM _let_1750) _let_1749 _let_1233) :args _let_778) (CONG _let_855 (TRANS _let_1232 _let_802 _let_789 _let_786 _let_257 _let_260 _let_1727 _let_1701 _let_1627 _let_1632) :args _let_778) (CONG _let_864 (TRANS _let_1630 _let_1628 _let_1699) :args _let_778)) :args (_let_101 _let_85 _let_53 _let_100 _let_61 _let_94 _let_91 _let_90 _let_107 _let_24 _let_32 _let_84 _let_21 _let_40 _let_28 _let_39 _let_65 _let_30 _let_54 _let_108 _let_59 _let_58 _let_42 _let_26 _let_63 _let_52 _let_47 _let_51 _let_37 _let_50 _let_67 _let_44 _let_79 _let_98 _let_99 _let_71 _let_87 _let_103 _let_77 _let_72 _let_97 _let_102 _let_104 _let_106 _let_112 _let_92 _let_64 _let_22 _let_83 _let_34 _let_81))) :args (_let_21 _let_22 _let_24 _let_26 _let_28 _let_30 _let_85 _let_108 _let_32 _let_34 _let_37 _let_39 _let_40 _let_42 _let_44 _let_47 _let_50 _let_87 _let_53 _let_54 _let_112 _let_51 _let_83 _let_52 _let_84 _let_58 _let_59 _let_61 _let_63 _let_64 _let_65 _let_67 _let_71 _let_72 _let_77 _let_79 _let_81 _let_107 _let_90 _let_91 _let_92 _let_94 _let_97 _let_98 _let_99 _let_100 _let_101 _let_102 _let_103 _let_104 _let_106))) :args (true _let_1735)) :args ((or _let_264 _let_263 _let_254 _let_288 _let_287 _let_280 _let_740 _let_1181 _let_253 _let_279 _let_738 _let_736 _let_734 _let_1057 _let_931 _let_930 _let_929 _let_398 _let_410 _let_729 (not _let_112) _let_928 _let_1397 _let_927 _let_725 _let_1092 _let_1091 _let_722 _let_1055 _let_1290 _let_1696 _let_1054 (not _let_71) (not _let_72) (not _let_77) _let_1053 _let_1395 _let_1587 _let_1586 _let_1585 _let_716 _let_713 (not _let_97) _let_1179 (not _let_99) _let_712 _let_711 (not _let_102) (not _let_103) _let_110 (not _let_104) (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1731)) :args ((or _let_1730 _let_112 (not _let_1731)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_1733)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1734 _let_1184 _let_1122 _let_1124) (SCOPE (FALSE_ELIM (TRANS (CONG _let_1302 :args _let_414) (CONG (TRANS _let_1126 _let_1123 _let_1185) :args _let_414) (FALSE_INTRO _let_1734))) :args (_let_584 _let_108 _let_59 _let_58))) :args (_let_108 _let_584 _let_58 _let_59))) :args (true _let_1733)) (CONG 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true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 9.19/9.39 )
% 9.19/9.39 % SZS output end Proof for KLE026+2
% 9.19/9.39 % cvc5---1.0.5 exiting
% 9.19/9.39 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------