TSTP Solution File: GRP367-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 00:25:49 EDT 2023

% Result   : Unsatisfiable 2.91s 3.10s
% Output   : Proof 2.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP367-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 00:33:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.u1Z7UZZBOp/cvc5---1.0.5_4262.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP367-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4262.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.91/3.10  % SZS status Unsatisfiable for GRP367-1
% 2.91/3.10  % SZS output start Proof for GRP367-1
% 2.91/3.14  (
% 2.91/3.14  (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c8 X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) X3)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply X5 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)))))) (let ((_let_2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_3 (= _let_2 tptp.sk_c7))) (let ((_let_4 (tptp.inverse tptp.sk_c3))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.inverse tptp.sk_c5))) (let ((_let_8 (= _let_7 tptp.sk_c7))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_11 (= _let_10 tptp.sk_c8))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c4))) (let ((_let_14 (= _let_13 tptp.sk_c8))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (let ((_let_17 (= _let_16 tptp.sk_c6))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (let ((_let_20 (= _let_19 tptp.sk_c8))) (let ((_let_21 (or _let_20 _let_3))) (let ((_let_22 (or _let_20 _let_8))) (let ((_let_23 (or _let_20 _let_11))) (let ((_let_24 (or _let_20 _let_14))) (let ((_let_25 (or _let_20 _let_17))) (let ((_let_26 (tptp.inverse tptp.sk_c1))) (let ((_let_27 (= _let_26 tptp.sk_c8))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_14))) (let ((_let_32 (or _let_27 _let_17))) (let ((_let_33 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_34 (= _let_33 tptp.sk_c2))) (let ((_let_35 (or _let_34 _let_3))) (let ((_let_36 (or _let_34 _let_8))) (let ((_let_37 (or _let_34 _let_11))) (let ((_let_38 (or _let_34 _let_14))) (let ((_let_39 (or _let_34 _let_17))) (let ((_let_40 (tptp.multiply tptp.sk_c8 tptp.sk_c2))) (let ((_let_41 (= _let_40 tptp.sk_c7))) (let ((_let_42 (or _let_41 _let_3))) (let ((_let_43 (or _let_41 _let_8))) (let ((_let_44 (or _let_41 _let_11))) (let ((_let_45 (or _let_41 _let_14))) (let ((_let_46 (or _let_41 _let_17))) (let ((_let_47 (tptp.multiply tptp.sk_c6 tptp.sk_c8))) (let ((_let_48 (= _let_47 tptp.sk_c7))) (let ((_let_49 (or _let_48 _let_3))) (let ((_let_50 (or _let_48 _let_11))) (let ((_let_51 (or _let_48 _let_14))) (let ((_let_52 (or _let_48 _let_17))) (let ((_let_53 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_56 (tptp.multiply _let_7 tptp.sk_c5))) (let ((_let_57 (= tptp.identity _let_56))) (let ((_let_58 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (tptp.multiply _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (= tptp.identity _let_59))) (let ((_let_61 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) (let ((_let_62 (= (tptp.multiply _let_16 tptp.sk_c8) (tptp.multiply tptp.sk_c7 _let_61)))) (let ((_let_63 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (let ((_let_64 (tptp.multiply _let_63 tptp.sk_c8))) (let ((_let_65 (= _let_64 (tptp.multiply tptp.sk_c5 _let_16)))) (let ((_let_66 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_67 (= (tptp.multiply _let_64 tptp.sk_c8) (tptp.multiply _let_63 _let_61)))) (let ((_let_68 (tptp.multiply tptp.sk_c8 _let_61))) (let ((_let_69 (tptp.multiply _let_63 _let_68))) (let ((_let_70 (= (tptp.multiply _let_64 _let_61) _let_69))) (let ((_let_71 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (let ((_let_72 (tptp.multiply _let_63 _let_71))) (let ((_let_73 (= (tptp.multiply _let_64 tptp.sk_c5) _let_72))) (let ((_let_74 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_63))) (let ((_let_75 (tptp.multiply _let_74 tptp.sk_c8))) (let ((_let_76 (= _let_75 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_64)))) (let ((_let_77 (tptp.multiply tptp.sk_c5 _let_63))) (let ((_let_78 (tptp.multiply _let_77 tptp.sk_c8))) (let ((_let_79 (= _let_78 (tptp.multiply tptp.sk_c5 _let_64)))) (let ((_let_80 (tptp.multiply tptp.sk_c8 _let_71))) (let ((_let_81 (tptp.multiply _let_77 _let_80))) (let ((_let_82 (= (tptp.multiply _let_78 _let_71) _let_81))) (let ((_let_83 (tptp.multiply _let_77 _let_68))) (let ((_let_84 (= (tptp.multiply _let_78 _let_61) _let_83))) (let ((_let_85 (tptp.multiply tptp.sk_c8 _let_74))) (let ((_let_86 (= (tptp.multiply _let_85 tptp.sk_c8) (tptp.multiply tptp.sk_c8 _let_75)))) (let ((_let_87 (tptp.multiply tptp.sk_c5 _let_77))) (let ((_let_88 (tptp.multiply _let_87 tptp.sk_c8))) (let ((_let_89 (= _let_88 (tptp.multiply tptp.sk_c5 _let_78)))) (let ((_let_90 (tptp.multiply _let_80 tptp.sk_c6))) (let ((_let_91 (= (tptp.multiply _let_81 tptp.sk_c6) (tptp.multiply _let_77 _let_90)))) (let ((_let_92 (= _let_77 (tptp.multiply tptp.identity _let_77)))) (let ((_let_93 (= (tptp.multiply _let_88 tptp.sk_c8) (tptp.multiply _let_87 _let_61)))) (let ((_let_94 (tptp.multiply _let_71 tptp.sk_c6))) (let ((_let_95 (tptp.multiply tptp.sk_c8 _let_94))) (let ((_let_96 (= _let_90 _let_95))) (let ((_let_97 (= (tptp.multiply (tptp.multiply _let_81 _let_77) tptp.sk_c8) (tptp.multiply _let_81 _let_78)))) (let ((_let_98 (= _let_83 (tptp.multiply tptp.sk_c5 _let_69)))) (let ((_let_99 (= _let_94 (tptp.multiply tptp.sk_c8 _let_2)))) (let ((_let_100 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_101 (= _let_85 (tptp.multiply _let_100 _let_63)))) (let ((_let_102 (= (tptp.multiply _let_78 _let_94) (tptp.multiply _let_77 _let_95)))) (let ((_let_103 (= tptp.sk_c7 _let_2))) (let ((_let_104 (= tptp.sk_c8 _let_58))) (let ((_let_105 (= tptp.sk_c8 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7)))) (let ((_let_106 (= tptp.sk_c6 _let_16))) (let ((_let_107 (= tptp.sk_c7 _let_7))) (let ((_let_108 (= tptp.sk_c7 _let_47))) (let ((_let_109 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 ((tptp.inverse X)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_57 false _let_109)))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST _let_114 _let_110 :args (_let_60 false _let_109)))) (let ((_let_116 (_let_53))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_119 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c7 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST _let_119 _let_117 :args (_let_62 false _let_53)))) (let ((_let_121 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_122 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST _let_122 _let_117 :args (_let_65 false _let_53)))) (let ((_let_124 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 ((tptp.multiply tptp.identity X)))) (let ((_let_128 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST _let_128 _let_125 :args (_let_66 false _let_124)))) (let ((_let_130 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST _let_130 _let_117 :args (_let_67 false _let_53)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 tptp.sk_c8 _let_61 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_70 false _let_53)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 tptp.sk_c8 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_73 false _let_53)))) (let ((_let_134 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_63 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST _let_134 _let_117 :args (_let_76 false _let_53)))) (let ((_let_136 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_63 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST _let_136 _let_117 :args (_let_79 false _let_53)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_77 tptp.sk_c8 _let_71 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_82 false _let_53)))) (let ((_let_139 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_77 tptp.sk_c8 _let_61 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST _let_139 _let_117 :args (_let_84 false _let_53)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 _let_74 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_86 false _let_53)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_77 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_89 false _let_53)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_63 _let_68 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_98 false _let_53)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_63 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_101 false _let_53)))) (let ((_let_145 (= tptp.sk_c8 _let_26))) (let ((_let_146 (not _let_145))) (let ((_let_147 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_33)))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_146))) (let ((_let_150 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X4))))))) (let ((_let_151 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_152 (= tptp.sk_c8 _let_151))) (let ((_let_153 (not _let_152))) (let ((_let_154 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c8))) (let ((_let_155 (tptp.multiply tptp.sk_c8 _let_154))) (let ((_let_156 (= tptp.sk_c7 _let_155))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_157 _let_153))) (let ((_let_159 (= tptp.sk_c7 _let_40))) (let ((_let_160 (= tptp.sk_c8 _let_19))) (let ((_let_161 (= tptp.sk_c6 _let_4))) (let ((_let_162 (not _let_161))) (let ((_let_163 (not _let_160))) (let ((_let_164 (or _let_163 _let_162))) (let ((_let_165 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))))) (let ((_let_166 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_167 (= tptp.sk_c6 _let_166))) (let ((_let_168 (not _let_167))) (let ((_let_169 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6))) (let ((_let_170 (= tptp.sk_c8 _let_169))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_171 _let_168))) (let ((_let_173 (= tptp.identity (tptp.multiply _let_151 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_174 (= (tptp.multiply _let_169 tptp.sk_c2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.sk_c6 tptp.sk_c2))))) (let ((_let_175 (tptp.multiply tptp.sk_c6 _let_169))) (let ((_let_176 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_177 (= (tptp.multiply _let_176 tptp.sk_c6) _let_175))) (let ((_let_178 (tptp.multiply tptp.sk_c7 _let_169))) (let ((_let_179 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_180 (tptp.multiply _let_179 tptp.sk_c6))) (let ((_let_181 (= _let_180 _let_178))) (let ((_let_182 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7))) (let ((_let_183 (tptp.multiply _let_182 tptp.sk_c8))) (let ((_let_184 (= _let_183 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16)))) (let ((_let_185 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_186 (= _let_155 (tptp.multiply _let_185 tptp.sk_c8)))) (let ((_let_187 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_188 (tptp.multiply _let_176 _let_179))) (let ((_let_189 (tptp.multiply _let_188 tptp.sk_c6))) (let ((_let_190 (= _let_189 (tptp.multiply _let_176 _let_180)))) (let ((_let_191 (= (tptp.multiply _let_183 tptp.sk_c2) (tptp.multiply _let_182 _let_40)))) (let ((_let_192 (= tptp.sk_c7 _let_189))) (let ((_let_193 (= tptp.identity (tptp.multiply _let_166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_194 (= (tptp.multiply _let_176 tptp.sk_c8) (tptp.multiply tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8))))) (let ((_let_195 (tptp.multiply _let_169 tptp.sk_c8))) (let ((_let_196 (= (tptp.multiply _let_175 tptp.sk_c8) (tptp.multiply tptp.sk_c6 _let_195)))) (let ((_let_197 (= (tptp.multiply _let_183 _let_154) (tptp.multiply _let_182 _let_155)))) (let ((_let_198 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_199 (tptp.multiply _let_169 _let_198))) (let ((_let_200 (= (tptp.multiply _let_175 _let_198) (tptp.multiply tptp.sk_c6 _let_199)))) (let ((_let_201 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_179))) (let ((_let_202 (= _let_188 (tptp.multiply tptp.sk_c6 _let_201)))) (let ((_let_203 (tptp.multiply _let_169 _let_169))) (let ((_let_204 (= _let_203 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_175)))) (let ((_let_205 (tptp.multiply _let_169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_206 (= (tptp.multiply _let_169 _let_154) (tptp.multiply _let_205 tptp.sk_c8)))) (let ((_let_207 (= _let_188 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_let_368 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_427)))) (let ((_let_429 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_430 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_431 (= (tptp.multiply _let_59 tptp.sk_c6) (tptp.multiply _let_58 _let_430)))) (let ((_let_432 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_77))) (let ((_let_433 (tptp.multiply _let_432 tptp.sk_c8))) (let ((_let_434 (= _let_433 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_78)))) (let ((_let_435 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_436 (tptp.multiply _let_185 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_437 (= (tptp.multiply _let_436 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_185 _let_435)))) (let ((_let_438 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_185) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply tptp.sk_c4 _let_436)))) (let ((_let_439 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_185) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_436)))) (let ((_let_440 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_7) tptp.sk_c5) (tptp.multiply tptp.sk_c4 _let_56)))) (let ((_let_441 (and _let_103 _let_156 _let_152 _let_173 _let_186 _let_187))) (let ((_let_442 (SYMM _let_393))) (let ((_let_443 (SYMM _let_296))) (let ((_let_444 (SYMM _let_293))) (let ((_let_445 (CONG (SYMM _let_287) _let_284 :args _let_278))) (let ((_let_446 (SYMM _let_283))) (let ((_let_447 (TRANS _let_446 _let_445))) (let ((_let_448 (CONG _let_447 _let_281 :args _let_278))) (let ((_let_449 (SYMM _let_280))) (let ((_let_450 (MODUS_PONENS (AND_INTRO _let_392 _let_294 _let_291 _let_285 _let_282 _let_279) (SCOPE (TRANS _let_449 _let_448 _let_444 _let_443 _let_442) :args (_let_103 _let_156 _let_186 _let_152 _let_173 _let_187))))) (let ((_let_451 (RESOLUTION (CNF_AND_NEG :args (_let_441)) (IMPLIES_ELIM (SCOPE _let_450 :args (_let_103 _let_156 _let_152 _let_173 _let_186 _let_187))) :args (true _let_441)))) (let ((_let_452 (not _let_107))) (let ((_let_453 (or _let_452 _let_366))) (let ((_let_454 (= tptp.sk_c6 _let_58))) (let ((_let_455 (not _let_454))) (let ((_let_456 (= tptp.sk_c8 _let_430))) (let ((_let_457 (not _let_456))) (let ((_let_458 (or _let_457 _let_455))) (let ((_let_459 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_460 (tptp.multiply tptp.sk_c8 _let_459))) (let ((_let_461 (tptp.multiply _let_77 _let_460))) (let ((_let_462 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_77) _let_460) (tptp.multiply tptp.sk_c8 _let_461)))) (let ((_let_463 (= (tptp.multiply _let_87 _let_460) (tptp.multiply tptp.sk_c5 _let_461)))) (let ((_let_464 (= _let_169 (tptp.multiply tptp.identity _let_169)))) (let ((_let_465 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_63))) (let ((_let_466 (tptp.multiply _let_465 tptp.sk_c8))) (let ((_let_467 (= (tptp.multiply (tptp.multiply tptp.sk_c6 _let_465) tptp.sk_c8) (tptp.multiply tptp.sk_c6 _let_466)))) (let ((_let_468 (tptp.multiply tptp.sk_c5 _let_179))) (let ((_let_469 (= _let_468 (tptp.multiply _let_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_470 (tptp.multiply _let_425 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_471 (= (tptp.multiply _let_425 _let_198) (tptp.multiply _let_470 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_472 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_169))) (let ((_let_473 (= (tptp.multiply _let_470 _let_169) (tptp.multiply _let_425 _let_472)))) (let ((_let_474 (= (tptp.multiply _let_78 _let_459) _let_461))) (let ((_let_475 (= (tptp.multiply _let_75 _let_198) (tptp.multiply _let_74 (tptp.multiply tptp.sk_c8 _let_198))))) (let ((_let_476 (tptp.multiply _let_198 tptp.sk_c6))) (let ((_let_477 (= (tptp.multiply _let_75 _let_476) (tptp.multiply _let_74 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(tptp.multiply _let_63 _let_484)))) (let ((_let_490 (= tptp.sk_c7 (tptp.inverse _let_179)))) (let ((_let_491 (not _let_483))) (let ((_let_492 (not _let_490))) (let ((_let_493 (or _let_492 _let_491))) (let ((_let_494 (not _let_481))) (let ((_let_495 (= tptp.sk_c8 _let_166))) (let ((_let_496 (not _let_495))) (let ((_let_497 (or _let_496 _let_494))) (let ((_let_498 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 _let_77 _let_460 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_499 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_77 _let_460 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_500 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)))) (let ((_let_501 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c6 _let_465 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_502 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM 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(SYMM (SYMM _let_607)))) (let ((_let_609 (CONG (REFL :args (_let_425)) _let_608 :args _let_278))) (let ((_let_610 (REFL :args (_let_476)))) (let ((_let_611 (TRANS _let_601 _let_593))) (let ((_let_612 (CONG _let_611 _let_610 :args _let_278))) (let ((_let_613 (ASSUME :args (_let_477)))) (let ((_let_614 (SYMM _let_613))) (let ((_let_615 (SYMM _let_612))) (let ((_let_616 (SYMM _let_609))) (let ((_let_617 (SYMM _let_604))) (let ((_let_618 (ASSUME :args (_let_434)))) (let ((_let_619 (SYMM _let_618))) (let ((_let_620 (SYMM _let_619))) (let ((_let_621 (TRANS _let_449 _let_448 _let_444 _let_443 _let_392 (CONG _let_394 _let_574 :args _let_278) (CONG _let_394 _let_550 :args _let_278)))) (let ((_let_622 (TRANS _let_387 (TRANS _let_386 _let_563 _let_562 (CONG (TRANS (SYMM _let_597) _let_596 (TRANS _let_593 (CONG _let_406 _let_621 :args _let_278))) _let_281 :args _let_278) _let_620 (CONG _let_406 _let_550 :args _let_278))))) (let ((_let_623 (CONG _let_622 (TRANS _let_584 _let_617 _let_605 _let_616 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((_let_643 (SYMM _let_642))) (let ((_let_644 (SYMM _let_638))) (let ((_let_645 (SYMM _let_634))) (let ((_let_646 (CONG _let_540 _let_313 :args _let_278))) (let ((_let_647 (ASSUME :args (_let_479)))) (let ((_let_648 (SYMM _let_647))) (let ((_let_649 (REFL :args (_let_459)))) (let ((_let_650 (CONG _let_550 _let_649 :args _let_278))) (let ((_let_651 (ASSUME :args (_let_474)))) (let ((_let_652 (SYMM _let_651))) (let ((_let_653 (TRANS _let_652 _let_650 _let_648 _let_646 (CONG _let_537 _let_313 :args _let_278)))) (let ((_let_654 (CONG _let_394 _let_653 :args _let_278))) (let ((_let_655 (ASSUME :args (_let_463)))) (let ((_let_656 (SYMM _let_655))) (let ((_let_657 (SYMM _let_656))) (let ((_let_658 (CONG _let_281 (TRANS _let_652 _let_650 _let_648 _let_646) :args _let_278))) (let ((_let_659 (ASSUME :args (_let_462)))) (let ((_let_660 (SYMM _let_659))) (let ((_let_661 (SYMM _let_660))) (let ((_let_662 (REFL :args (_let_460)))) (let ((_let_663 (SYMM _let_563))) (let ((_let_664 (SYMM _let_562))) (let ((_let_665 (TRANS (CONG _let_394 _let_626 :args _let_278) (SYMM _let_546) _let_548 (SYMM _let_558) _let_560 (SYMM _let_566) (SYMM _let_569) _let_571 (SYMM _let_573) _let_664 _let_663 _let_387))) (let ((_let_666 (CONG (TRANS _let_665 (TRANS _let_386 _let_563 _let_562 (CONG _let_281 _let_621 :args _let_278))) _let_662 :args _let_278))) (let ((_let_667 (SYMM _let_654))) (let ((_let_668 (TRANS _let_335 (SYMM _let_665)))) (let ((_let_669 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_77 _let_460 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_670 (not _let_482))) (let ((_let_671 (and _let_108 _let_106 _let_103 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_65 _let_426 _let_480 _let_186 _let_187 _let_66 _let_67 _let_479 _let_76 _let_79 _let_429 _let_477 _let_475 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_209 _let_464 _let_482 _let_463 _let_462))) (let ((_let_672 (ASSUME :args (_let_482)))) (let ((_let_673 (SYMM _let_672))) (let ((_let_674 (SYMM _let_673))) (let ((_let_675 (SYMM _let_653))) (let ((_let_676 (CONG _let_394 _let_675 :args _let_278))) (let ((_let_677 (CONG (TRANS _let_574 _let_550) _let_313 :args _let_278))) (let ((_let_678 (CONG _let_387 _let_586 :args _let_278))) (let ((_let_679 (TRANS (TRANS (CONG _let_406 _let_565 :args _let_278) _let_619 (CONG (TRANS (TRANS (CONG _let_406 _let_626 :args _let_278) _let_598) _let_595 _let_597) _let_281 :args _let_278) _let_664 _let_663 _let_387) _let_386))) (let ((_let_680 (SYMM _let_614))) (let ((_let_681 (SYMM _let_643))) (let ((_let_682 (TRANS _let_322 _let_645 _let_636 _let_644 (CONG _let_602 _let_331 :args _let_278)))) (let ((_let_683 (CONG (SYMM _let_679) _let_682 :args _let_278))) (let ((_let_684 (CONG _let_386 _let_313 :args _let_278))) (let ((_let_685 (SYMM _let_684))) (let ((_let_686 (SYMM _let_556))) (let ((_let_687 (SYMM _let_388))) (let ((_let_688 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_671)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_294 _let_291 _let_285 _let_282 _let_279 _let_392 _let_386 _let_396 _let_647 _let_547 _let_651 _let_672 _let_302 _let_389 _let_559 _let_570 _let_659 _let_655 _let_628 _let_317 _let_404 _let_588 _let_594 _let_618 _let_584 _let_599 _let_605 _let_607 _let_613 _let_322 _let_635 _let_641 _let_334 _let_336 _let_341 _let_344) (SCOPE (TRANS _let_552 _let_687 _let_554 _let_686 (CONG _let_537 _let_567 :args _let_278) (CONG (TRANS _let_545 _let_621) (TRANS _let_346 _let_343 (CONG (TRANS _let_342 _let_447) _let_306 :args _let_278) (CONG (TRANS _let_590 (TRANS _let_338 (CONG _let_668 (TRANS _let_322 _let_645 _let_636 _let_644 _let_643 (SYMM _let_683) _let_685 _let_677 _let_629 _let_676 _let_656 _let_666 _let_661 _let_658) :args _let_278) _let_655 (SYMM _let_676) _let_628 (SYMM _let_677) _let_684 _let_683 _let_681 _let_638 _let_637 _let_634 _let_323)) _let_386 :args _let_278) _let_576 _let_584 _let_617 _let_605 _let_616 _let_615 _let_680 (CONG _let_679 (TRANS (CONG _let_639 _let_610 :args _let_278) _let_612 _let_609 _let_606 _let_604 _let_585) :args _let_278) _let_678 (SYMM _let_319) (CONG (TRANS (TRANS _let_677 _let_629) (TRANS _let_676 _let_656 _let_666 _let_661 _let_658)) _let_306 :args _let_278)) :args _let_278) (SYMM _let_674) (CONG _let_653 _let_306 :args _let_278)) :args (_let_156 _let_186 _let_152 _let_173 _let_187 _let_103 _let_106 _let_65 _let_479 _let_79 _let_474 _let_482 _let_108 _let_62 _let_84 _let_67 _let_462 _let_463 _let_469 _let_177 _let_105 _let_429 _let_426 _let_434 _let_464 _let_76 _let_473 _let_480 _let_477 _let_209 _let_471 _let_475 _let_167 _let_193 _let_60 _let_66))) :args (_let_108 _let_106 _let_103 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_65 _let_426 _let_480 _let_186 _let_187 _let_66 _let_67 _let_479 _let_76 _let_79 _let_429 _let_477 _let_475 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_209 _let_464 _let_482 _let_463 _let_462))) :args (true _let_671)) :args ((or _let_276 _let_367 _let_366 _let_347 _let_168 _let_157 _let_153 _let_275 _let_274 _let_273 _let_384 _let_272 _let_383 _let_535 _let_533 _let_271 _let_270 _let_269 _let_532 _let_531 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_483 _let_265 _let_517 _let_670 _let_516 _let_515))))) (let ((_let_689 (= (tptp.multiply _let_472 tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_195)))) (let ((_let_690 (tptp.multiply _let_198 _let_47))) (let ((_let_691 (= _let_690 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47))))) (let ((_let_692 (= (tptp.multiply _let_476 tptp.sk_c8) _let_690))) (let ((_let_693 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (let ((_let_694 (= (tptp.multiply _let_693 _let_154) (tptp.multiply tptp.sk_c4 _let_155)))) (let ((_let_695 (tptp.multiply _let_693 _let_198))) (let ((_let_696 (= tptp.sk_c8 (tptp.multiply _let_695 tptp.sk_c7)))) (let ((_let_697 (tptp.inverse _let_695))) (let ((_let_698 (= tptp.sk_c8 _let_697))) (let ((_let_699 (not _let_696))) (let ((_let_700 (not _let_698))) (let ((_let_701 (or _let_700 _let_699))) (let ((_let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_169 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_703 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_704 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_198 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)))) (let ((_let_705 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 tptp.sk_c8 _let_154 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)))) (let ((_let_706 (not _let_689))) (let ((_let_707 (not _let_691))) (let ((_let_708 (not _let_692))) (let ((_let_709 (not _let_694))) (let ((_let_710 (and _let_108 _let_106 _let_350 _let_103 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_694 _let_65 _let_426 _let_184 _let_480 _let_186 _let_187 _let_66 _let_67 _let_194 _let_479 _let_692 _let_478 _let_76 _let_79 _let_429 _let_477 _let_475 _let_691 _let_689 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_467 _let_209 _let_464 _let_482 _let_463 _let_462))) (let ((_let_711 (CONG _let_545 _let_564 :args _let_278))) (let ((_let_712 (CONG _let_342 _let_306 :args _let_278))) (let ((_let_713 (SYMM _let_338))) (let ((_let_714 (CONG _let_622 _let_682 :args _let_278))) (let ((_let_715 (TRANS _let_386 _let_563 _let_562 _let_573 _let_572 _let_569 _let_566 _let_561 _let_558 _let_549 _let_546 (CONG _let_394 _let_621 :args _let_278)))) (let ((_let_716 (CONG (TRANS (TRANS (CONG _let_281 _let_626 :args _let_278) _let_664 _let_663 _let_387) _let_715) _let_662 :args _let_278))) (let ((_let_717 (SYMM _let_661))) (let ((_let_718 (CONG _let_281 (TRANS (SYMM _let_646) _let_647 (SYMM _let_650) _let_651) :args _let_278))) (let ((_let_719 (SYMM _let_335))) (let ((_let_720 (CONG (TRANS (SYMM _let_715) _let_719) (TRANS _let_718 _let_717 _let_716 _let_657 _let_654 _let_630 _let_627 _let_684 _let_714 _let_681 _let_638 _let_637 _let_634 _let_323) :args _let_278))) (let ((_let_721 (TRANS _let_322 _let_645 _let_636 _let_644 _let_643 (SYMM _let_714) _let_685 _let_632 _let_629 _let_667 _let_656 _let_720 _let_713))) (let ((_let_722 (CONG _let_313 _let_386 :args _let_278))) (let ((_let_723 (CONG _let_386 _let_586 :args _let_278))) (let ((_let_724 (CONG (TRANS _let_626 _let_537) (TRANS (CONG (TRANS (TRANS _let_718 _let_717 _let_716 _let_657 _let_654) _let_631) _let_306 :args _let_278) _let_319 _let_723 _let_623 _let_614 _let_612 _let_609 _let_606 _let_604 _let_585 _let_722 (CONG (TRANS _let_721 _let_447) _let_387 :args _let_278) (CONG (TRANS _let_590 _let_341) _let_306 :args _let_278) _let_712 _let_345) :args _let_278))) (let ((_let_725 (CONG _let_675 _let_306 :args _let_278))) (let ((_let_726 (REFL :args (tptp.sk_c4)))) (let ((_let_727 (CONG _let_726 _let_592 :args _let_278))) (let ((_let_728 (ASSUME :args (_let_694)))) (let ((_let_729 (SYMM _let_728))) (let ((_let_730 (SYMM _let_729))) (let ((_let_731 (SYMM _let_625))) (let ((_let_732 (ASSUME :args (_let_689)))) (let ((_let_733 (SYMM (SYMM _let_732)))) (let ((_let_734 (CONG _let_608 _let_281 :args _let_278))) (let ((_let_735 (ASSUME :args (_let_692)))) (let ((_let_736 (SYMM _let_735))) (let ((_let_737 (ASSUME :args (_let_691)))) (let ((_let_738 (SYMM _let_737))) (let ((_let_739 (REFL :args (_let_693)))) (let ((_let_740 (CONG _let_739 (TRANS (CONG _let_284 (TRANS (CONG _let_313 _let_545 :args _let_278) (CONG _let_313 (TRANS _let_449 _let_448 _let_444 _let_443 _let_552) :args _let_278)) :args _let_278) _let_738 _let_736 _let_734 _let_733 (CONG _let_284 (TRANS (CONG (TRANS (TRANS _let_722 _let_578) (TRANS _let_579 (SYMM _let_722) _let_584 _let_617 _let_605 _let_616 _let_615 _let_613 (SYMM _let_623) (CONG _let_387 (TRANS _let_575 _let_551) :args _let_278))) _let_281 :args _let_278) _let_731 (CONG _let_306 (TRANS _let_544 _let_541) :args _let_278) _let_315 (CONG _let_321 _let_621 :args _let_278) (CONG (TRANS (SYMM _let_631) (TRANS _let_630 _let_627 _let_684 _let_714 _let_681 _let_638 _let_637 _let_634 _let_323) _let_721 _let_447) _let_626 :args _let_278) _let_539 _let_280) :args _let_278)) :args _let_278))) (let ((_let_741 (ASSUME :args (_let_350)))) (let ((_let_742 (SYMM _let_741))) (let ((_let_743 (SYMM _let_742))) (let ((_let_744 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_361 false _let_109)))) (let ((_let_745 (MACRO_RESOLUTION_TRUST _let_514 _let_117 :args (_let_426 false _let_53)))) (let ((_let_746 (MACRO_RESOLUTION_TRUST _let_513 _let_117 :args (_let_184 false _let_53)))) (let ((_let_747 (MACRO_RESOLUTION_TRUST _let_512 _let_117 :args (_let_480 false _let_53)))) (let ((_let_748 (MACRO_RESOLUTION_TRUST _let_511 _let_117 :args (_let_479 false _let_53)))) (let ((_let_749 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c3 _let_63 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_363 false _let_53)))) (let ((_let_750 (MACRO_RESOLUTION_TRUST _let_509 _let_125 :args (_let_429 false _let_124)))) (let ((_let_751 (MACRO_RESOLUTION_TRUST _let_508 _let_117 :args (_let_477 false _let_53)))) (let ((_let_752 (MACRO_RESOLUTION_TRUST _let_507 _let_117 :args (_let_475 false _let_53)))) (let ((_let_753 (MACRO_RESOLUTION_TRUST _let_506 _let_117 :args (_let_474 false _let_53)))) (let ((_let_754 (MACRO_RESOLUTION_TRUST _let_505 _let_117 :args (_let_473 false _let_53)))) (let ((_let_755 (MACRO_RESOLUTION_TRUST _let_504 _let_117 :args (_let_471 false _let_53)))) (let ((_let_756 (MACRO_RESOLUTION_TRUST _let_503 _let_117 :args (_let_434 false _let_53)))) (let ((_let_757 (MACRO_RESOLUTION_TRUST _let_502 _let_117 :args (_let_469 false _let_53)))) (let ((_let_758 (MACRO_RESOLUTION_TRUST _let_500 _let_125 :args (_let_464 false _let_124)))) (let ((_let_759 (MACRO_RESOLUTION_TRUST _let_499 _let_117 :args (_let_463 false _let_53)))) (let ((_let_760 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 tptp.sk_c3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_365 false _let_53)))) (let ((_let_761 (MACRO_RESOLUTION_TRUST _let_498 _let_117 :args (_let_462 false _let_53)))) (let ((_let_762 (not _let_365))) (let ((_let_763 (not _let_363))) (let ((_let_764 (not _let_361))) (let ((_let_765 (and _let_108 _let_106 _let_350 _let_103 _let_160 _let_161 _let_105 _let_167 _let_156 _let_152 _let_361 _let_193 _let_173 _let_62 _let_694 _let_65 _let_426 _let_184 _let_480 _let_186 _let_187 _let_67 _let_194 _let_479 _let_692 _let_478 _let_76 _let_363 _let_79 _let_429 _let_477 _let_475 _let_691 _let_689 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_467 _let_209 _let_464 _let_463 _let_365 _let_462))) (let ((_let_766 (= tptp.sk_c6 _let_151))) (let ((_let_767 (= tptp.sk_c6 _let_697))) (let ((_let_768 (SYMM (ASSUME :args (_let_766))))) (let ((_let_769 (ASSUME :args (_let_361)))) (let ((_let_770 (SYMM _let_769))) (let ((_let_771 (REFL :args (tptp.sk_c3)))) (let ((_let_772 (ASSUME :args (_let_161)))) (let ((_let_773 (SYMM _let_772))) (let ((_let_774 (SYMM _let_773))) (let ((_let_775 (CONG _let_401 _let_281 :args _let_278))) (let ((_let_776 (SYMM _let_301))) (let ((_let_777 (SYMM _let_299))) (let ((_let_778 (TRANS _let_386 _let_777 _let_776))) (let ((_let_779 (CONG _let_568 _let_778 :args _let_278))) (let ((_let_780 (CONG _let_394 _let_401 :args _let_278))) (let ((_let_781 (TRANS _let_549 _let_780 (CONG _let_394 _let_300 :args _let_278)))) (let ((_let_782 (CONG _let_781 (SYMM _let_778) :args _let_278))) (let ((_let_783 (CONG _let_297 _let_391 :args _let_278))) (let ((_let_784 (CONG _let_386 _let_281 :args _let_278))) (let ((_let_785 (CONG _let_557 (TRANS _let_279 _let_413 _let_292 _let_295 _let_552 _let_784 _let_554 _let_783) :args _let_278))) (let ((_let_786 (TRANS _let_785 _let_560 _let_782 _let_779 _let_571 _let_775 _let_301 _let_299 _let_387))) (let ((_let_787 (SYMM _let_781))) (let ((_let_788 (TRANS (CONG (TRANS _let_787 _let_786 _let_774) _let_771 :args _let_278) _let_770))) (let ((_let_789 (ASSUME :args (_let_365)))) (let ((_let_790 (SYMM _let_789))) (let ((_let_791 (CONG _let_771 _let_401 :args _let_278))) (let ((_let_792 (ASSUME :args (_let_363)))) (let ((_let_793 (SYMM _let_792))) (let ((_let_794 (SYMM _let_793))) (let ((_let_795 (REFL :args (_let_362)))) (let ((_let_796 (CONG _let_795 _let_297 :args _let_278))) (let ((_let_797 (SYMM _let_786))) (let ((_let_798 (ASSUME :args (_let_160)))) (let ((_let_799 (SYMM (SYMM _let_798)))) (let ((_let_800 (CONG (TRANS _let_799 (CONG _let_771 _let_797 :args _let_278) (CONG _let_771 _let_781 :args _let_278)) _let_300 :args _let_278))) (let ((_let_801 (SYMM _let_782))) (let ((_let_802 (SYMM _let_779))) (let ((_let_803 (SYMM _let_775))) (let ((_let_804 (MODUS_PONENS (AND_INTRO _let_285 _let_279 _let_282 _let_769 _let_772 _let_386 _let_291 _let_294 _let_392 _let_396 _let_570 _let_547 _let_559 _let_389 _let_302 _let_789 _let_792 _let_798) (SCOPE (TRANS _let_386 _let_777 _let_776 _let_803 _let_570 _let_802 _let_801 (CONG (TRANS _let_786 _let_386) _let_391 :args _let_278) (CONG (TRANS _let_387 _let_797 _let_781) (TRANS _let_800 _let_796 _let_794 _let_791 (CONG _let_771 _let_300 :args _let_278)) :args _let_278) _let_790 (CONG (TRANS _let_788 _let_340) _let_297 :args _let_278) _let_290 _let_280 _let_287) :args (_let_152 _let_187 _let_173 _let_361 _let_161 _let_106 _let_186 _let_156 _let_103 _let_65 _let_67 _let_79 _let_84 _let_62 _let_108 _let_365 _let_363 _let_160))))) (let ((_let_805 (APPLY_UF tptp.inverse))) (let ((_let_806 (TRANS _let_293 _let_290 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_let_820 _let_313 :args _let_278))) (let ((_let_822 (TRANS _let_817 _let_813))) (let ((_let_823 (CONG _let_822 _let_331 :args _let_278))) (let ((_let_824 (SYMM _let_823))) (let ((_let_825 (SYMM _let_821))) (let ((_let_826 (SYMM _let_809))) (let ((_let_827 (TRANS _let_387 (TRANS _let_386 _let_777 _let_776 (CONG (TRANS (SYMM _let_814) _let_596 (TRANS _let_813 (CONG _let_406 _let_826 :args _let_278))) _let_281 :args _let_278) _let_620 (CONG _let_406 _let_781 :args _let_278))))) (let ((_let_828 (CONG _let_827 (TRANS _let_322 _let_825 _let_636 _let_824 (CONG _let_818 _let_331 :args _let_278)) :args _let_278))) (let ((_let_829 (CONG (TRANS _let_787 _let_786) _let_313 :args _let_278))) (let ((_let_830 (CONG _let_401 _let_313 :args _let_278))) (let ((_let_831 (CONG _let_781 _let_649 :args _let_278))) (let ((_let_832 (TRANS _let_652 _let_831 _let_648 _let_830 (CONG _let_300 _let_313 :args _let_278)))) (let ((_let_833 (CONG _let_394 _let_832 :args _let_278))) (let ((_let_834 (TRANS _let_386 _let_777 _let_776 _let_803 _let_570 _let_802 _let_801 _let_559 (SYMM _let_785) _let_549 _let_780 (CONG _let_394 _let_826 :args _let_278)))) (let ((_let_835 (CONG (TRANS (SYMM _let_834) _let_719) (TRANS (CONG _let_281 (TRANS (SYMM _let_830) _let_647 (SYMM _let_831) _let_651) :args _let_278) _let_717 (CONG (TRANS (TRANS (CONG _let_281 _let_809 :args _let_278) _let_301 _let_299 _let_387) _let_834) _let_662 :args _let_278) _let_657 _let_833 _let_630 _let_829 _let_684 _let_828 _let_681 _let_823 _let_637 _let_821 _let_323) :args _let_278))) (let ((_let_836 (SYMM _let_833))) (let ((_let_837 (SYMM _let_829))) (let ((_let_838 (SYMM _let_828))) (let ((_let_839 (CONG _let_820 _let_586 :args _let_278))) (let ((_let_840 (CONG _let_822 _let_610 :args _let_278))) (let ((_let_841 (SYMM _let_818))) (let ((_let_842 (SYMM _let_840))) (let ((_let_843 (SYMM _let_839))) (let ((_let_844 (CONG _let_739 (TRANS (CONG _let_284 (TRANS (CONG _let_313 _let_297 :args _let_278) (CONG _let_313 (TRANS _let_279 _let_413 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(SYMM _let_288))) (let ((_let_846 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c3 _let_179 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_485 false _let_53)))) (let ((_let_847 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_179 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_486 false _let_124)))) (let ((_let_848 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_74 tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_487 false _let_53)))) (let ((_let_849 (MACRO_RESOLUTION_TRUST _let_669 _let_117 :args (_let_482 false _let_53)))) (let ((_let_850 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c3 _let_77 _let_460 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_488 false _let_53)))) (let ((_let_851 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 tptp.sk_c3 _let_179 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_489 false _let_53)))) (let ((_let_852 (not _let_57))) (let ((_let_853 (and _let_108 _let_106 _let_103 _let_160 _let_161 _let_105 _let_167 _let_156 _let_152 _let_57 _let_361 _let_60 _let_193 _let_173 _let_62 _let_177 _let_65 _let_426 _let_480 _let_186 _let_187 _let_66 _let_67 _let_479 _let_485 _let_76 _let_363 _let_79 _let_429 _let_486 _let_477 _let_475 _let_474 _let_487 _let_84 _let_473 _let_471 _let_434 _let_469 _let_209 _let_464 _let_482 _let_488 _let_463 _let_489 _let_365 _let_462))) (let ((_let_854 (ASSUME :args (_let_486)))) (let ((_let_855 (ASSUME :args (_let_489)))) (let ((_let_856 (ASSUME :args (_let_488)))) (let ((_let_857 (CONG _let_281 (TRANS _let_652 _let_831 _let_648 _let_830) :args _let_278))) (let ((_let_858 (TRANS _let_279 _let_413 _let_292 _let_295 _let_392 (CONG _let_394 _let_797 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((_let_869 (CONG (TRANS _let_335 (SYMM _let_860)) (TRANS _let_322 _let_825 _let_636 _let_824 _let_643 _let_868 _let_633 _let_865 _let_629 _let_863 _let_656 _let_861 _let_661 _let_857) :args _let_278))) (let ((_let_870 (ASSUME :args (_let_57)))) (let ((_let_871 (SYMM _let_870))) (let ((_let_872 (SYMM _let_791))) (let ((_let_873 (TRANS (TRANS _let_322 _let_825 _let_636 _let_824 _let_643 _let_868 _let_633 _let_865 _let_629 _let_863 _let_656 (SYMM _let_869) _let_337) _let_340))) (let ((_let_874 (CONG _let_771 (TRANS (CONG _let_862 _let_306 :args _let_278) _let_674 (CONG (TRANS _let_859 _let_300) (TRANS (CONG (TRANS (TRANS (SYMM _let_857) _let_660 (SYMM _let_861) _let_655 (SYMM _let_863)) (TRANS _let_628 (SYMM _let_865))) _let_306 :args _let_278) _let_319 _let_723 (CONG (SYMM _let_867) (TRANS _let_584 _let_843 _let_605 _let_616 _let_842 (CONG _let_818 _let_610 :args _let_278)) :args _let_278) _let_614 _let_840 _let_609 _let_606 _let_839 _let_585 _let_722 (CONG _let_873 _let_387 :args _let_278) (CONG (TRANS _let_289 _let_341) _let_306 :args _let_278) _let_712 _let_345) :args _let_278) (CONG _let_297 _let_778 :args _let_278) (SYMM _let_783) _let_390 (SYMM _let_784) _let_303 _let_296 _let_293 _let_290 _let_280) :args _let_278))) (let ((_let_875 (ASSUME :args (_let_485)))) (let ((_let_876 (SYMM _let_875))) (let ((_let_877 (TRANS _let_288 _let_283 _let_870))) (let ((_let_878 (CONG _let_866 _let_877 :args _let_278))) (let ((_let_879 (ASSUME :args (_let_487)))) (let ((_let_880 (SYMM (SYMM _let_879)))) (let ((_let_881 (SYMM _let_819))) (let ((_let_882 (SYMM _let_790))) (let ((_let_883 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_853)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_854 _let_769 _let_772 _let_386 _let_279 _let_282 _let_285 _let_291 _let_294 _let_392 _let_396 _let_570 _let_547 _let_559 _let_389 _let_302 _let_855 _let_647 _let_651 _let_856 _let_792 _let_344 _let_341 _let_336 _let_334 _let_322 _let_404 _let_588 _let_594 _let_599 _let_635 _let_641 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(CONG _let_771 _let_832 :args _let_278)) :args _let_278) (SYMM _let_855) (CONG _let_788 (REFL :args (_let_179)) :args _let_278) (SYMM _let_854)) :args _let_805)) :args (_let_486 _let_361 _let_161 _let_106 _let_187 _let_173 _let_152 _let_186 _let_156 _let_103 _let_65 _let_67 _let_79 _let_84 _let_62 _let_108 _let_489 _let_479 _let_474 _let_488 _let_363 _let_66 _let_60 _let_193 _let_167 _let_209 _let_105 _let_429 _let_426 _let_76 _let_471 _let_475 _let_434 _let_469 _let_463 _let_462 _let_464 _let_473 _let_480 _let_477 _let_177 _let_482 _let_485 _let_160 _let_57 _let_487 _let_365))) :args (_let_108 _let_106 _let_103 _let_160 _let_161 _let_105 _let_167 _let_156 _let_152 _let_57 _let_361 _let_60 _let_193 _let_173 _let_62 _let_177 _let_65 _let_426 _let_480 _let_186 _let_187 _let_66 _let_67 _let_479 _let_485 _let_76 _let_363 _let_79 _let_429 _let_486 _let_477 _let_475 _let_474 _let_487 _let_84 _let_473 _let_471 _let_434 _let_469 _let_209 _let_464 _let_482 _let_488 _let_463 _let_489 _let_365 _let_462))) :args (true _let_853)) :args ((or _let_276 _let_367 _let_366 _let_163 _let_162 _let_347 _let_168 _let_157 _let_153 _let_852 _let_764 _let_275 _let_274 _let_273 _let_384 _let_272 _let_383 _let_535 _let_533 _let_271 _let_270 _let_269 _let_532 _let_531 (not _let_485) _let_529 _let_763 _let_528 _let_527 (not _let_486) _let_526 _let_525 _let_524 (not _let_487) _let_523 _let_522 _let_521 _let_520 _let_519 _let_490 _let_265 _let_517 _let_670 (not _let_488) _let_516 (not _let_489) _let_762 _let_515))))) (let ((_let_884 (REORDERING (CNF_OR_POS :args (_let_493)) :args ((or _let_492 _let_491 (not _let_493)))))) (let ((_let_885 (_let_226))) (let ((_let_886 (ASSUME :args _let_885))) (let ((_let_887 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_886 :args (_let_179 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X2 tptp.sk_c6)))) :args _let_885)))) (let ((_let_888 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_276 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_let_896))) (let ((_let_903 (not _let_431))) (let ((_let_904 (not _let_895))) (let ((_let_905 (not _let_181))) (let ((_let_906 (and _let_108 _let_106 _let_103 _let_104 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_181 _let_65 _let_426 _let_186 _let_187 _let_66 _let_67 _let_895 _let_79 _let_429 _let_431 _let_84 _let_896 _let_434))) (let ((_let_907 (true _let_906))) (let ((_let_908 (_let_108 _let_106 _let_103 _let_104 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_181 _let_65 _let_426 _let_186 _let_187 _let_66 _let_67 _let_895 _let_79 _let_429 _let_431 _let_84 _let_896 _let_434))) (let ((_let_909 (SYMM _let_416))) (let ((_let_910 (TRANS (CONG _let_719 _let_313 :args _let_278) _let_337))) (let ((_let_911 (CONG _let_910 _let_281 :args _let_278))) (let ((_let_912 (TRANS _let_289 (SYMM _let_910)))) (let ((_let_913 (CONG _let_912 _let_281 :args _let_278))) (let ((_let_914 (SYMM _let_913))) (let ((_let_915 (SYMM _let_911))) (let ((_let_916 (TRANS _let_279 _let_915 _let_914 _let_292 _let_295))) (let ((_let_917 (CONG _let_916 _let_391 :args _let_278))) (let ((_let_918 (SYMM _let_916))) (let ((_let_919 (CONG _let_918 _let_918 :args _let_278))) (let ((_let_920 (CONG _let_298 _let_916 :args _let_278))) (let ((_let_921 (TRANS _let_386 _let_920 _let_919))) (let ((_let_922 (SYMM _let_920))) (let ((_let_923 (SYMM _let_919))) (let ((_let_924 (SYMM _let_405))) (let ((_let_925 (TRANS (CONG _let_912 _let_406 :args _let_278) (CONG _let_910 _let_406 :args _let_278) _let_589))) (let ((_let_926 (SYMM _let_925))) (let ((_let_927 (CONG _let_406 (TRANS _let_293 _let_913 _let_911 _let_280) :args _let_278))) (let ((_let_928 (SYMM _let_927))) (let ((_let_929 (CONG (TRANS _let_398 _let_395 _let_393 _let_296 _let_293 _let_913 _let_911 _let_280) _let_281 :args _let_278))) (let ((_let_930 (ASSUME :args (_let_896)))) (let ((_let_931 (CONG _let_394 (TRANS (CONG _let_392 _let_586 :args _let_278) (SYMM (SYMM _let_930)) (CONG _let_394 (TRANS _let_318 (CONG (TRANS _let_910 _let_341) _let_306 :args _let_278) _let_712 _let_345) :args _let_278) _let_393) :args _let_278))) (let ((_let_932 (ASSUME :args (_let_181)))) (let ((_let_933 (SYMM _let_932))) (let ((_let_934 (SYMM _let_933))) (let ((_let_935 (CONG _let_394 _let_934 :args _let_278))) (let ((_let_936 (ASSUME :args (_let_895)))) (let ((_let_937 (SYMM _let_936))) (let ((_let_938 (CONG _let_394 _let_399 :args _let_278))) (let ((_let_939 (TRANS (TRANS _let_549 _let_938 (SYMM _let_931) (SYMM _let_935) _let_937) (TRANS (SYMM _let_937) _let_935 _let_931)))) (let ((_let_940 (TRANS (CONG _let_557 (TRANS _let_279 _let_915 _let_914 _let_292 _let_295 _let_552 _let_687 _let_554 (SYMM _let_917)) :args _let_278) _let_560 (CONG _let_939 (SYMM _let_921) :args _let_278) (CONG _let_568 _let_921 :args _let_278) _let_571 _let_929 _let_923 _let_922 _let_387))) (let ((_let_941 (ASSUME :args (_let_431)))) (let ((_let_942 (SYMM _let_941))) (let ((_let_943 (SYMM _let_942))) (let ((_let_944 (CNF_AND_NEG :args (_let_906)))) (let ((_let_945 (TRANS _let_296 _let_293 _let_913 _let_911 _let_280))) (let ((_let_946 (CONG _let_298 _let_945 :args _let_278))) (let ((_let_947 (SYMM _let_945))) (let ((_let_948 (CONG _let_947 _let_947 :args _let_278))) (let ((_let_949 (SYMM _let_948))) (let ((_let_950 (SYMM _let_946))) (let ((_let_951 (TRANS _let_386 _let_950 _let_949))) (let ((_let_952 (SYMM _let_951))) (let ((_let_953 (CONG _let_945 _let_391 :args _let_278))) (let ((_let_954 (TRANS (CONG _let_557 (TRANS _let_279 _let_915 _let_914 _let_292 _let_295 _let_552 _let_784 _let_554 _let_953) :args _let_278) _let_560 (CONG _let_939 _let_952 :args _let_278) (CONG _let_568 _let_951 :args _let_278) _let_571 _let_929 _let_948 _let_946 _let_387))) (let ((_let_955 (CONG _let_406 _let_954 :args _let_278))) (let ((_let_956 (CONG (TRANS (TRANS _let_924 (CONG _let_926 _let_298 :args _let_278) (CONG _let_925 _let_945 :args _let_278) _let_928 _let_595) _let_596 (TRANS _let_927 (CONG _let_406 (TRANS _let_279 _let_915 _let_914 _let_292 _let_295 _let_392 (CONG _let_394 (SYMM _let_954) :args _let_278) (CONG _let_394 _let_939 :args _let_278)) :args _let_278))) _let_281 :args _let_278))) (let ((_let_957 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_458)) :args ((or _let_457 _let_455 _let_897))) (REORDERING (RESOLUTION _let_944 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_386 _let_279 _let_336 _let_334 _let_282 _let_285 _let_291 _let_294 _let_392 _let_396 _let_570 _let_344 _let_341 _let_317 _let_930 _let_932 _let_936 _let_547 _let_559 _let_389 _let_302 _let_618 _let_594 _let_588 _let_404 _let_941 _let_415) (SCOPE (TRANS _let_279 _let_915 _let_914 _let_292 _let_295 _let_552 _let_784 _let_554 _let_953 (CONG _let_947 _let_952 :args _let_278) (CONG (TRANS _let_945 _let_909) (TRANS _let_386 _let_950 _let_949 _let_956 _let_620 _let_955) :args _let_278) _let_942 _let_712 _let_345 _let_386 _let_950 _let_949 _let_956 _let_620 _let_955) :args (_let_106 _let_187 _let_193 _let_167 _let_173 _let_152 _let_186 _let_156 _let_103 _let_65 _let_67 _let_66 _let_60 _let_177 _let_896 _let_181 _let_895 _let_79 _let_84 _let_62 _let_108 _let_434 _let_426 _let_429 _let_105 _let_431 _let_104))) :args _let_908)) :args _let_907) :args ((or _let_276 _let_367 _let_366 _let_348 _let_347 _let_168 _let_157 _let_153 _let_275 _let_274 _let_273 _let_384 _let_272 _let_905 _let_383 _let_535 _let_271 _let_270 _let_269 _let_532 _let_904 _let_528 _let_456 _let_527 _let_903 _let_523 _let_902 _let_520))) _let_756 _let_901 _let_140 _let_900 _let_750 _let_137 _let_899 _let_131 _let_129 _let_256 _let_254 _let_745 _let_123 _let_898 _let_252 _let_120 _let_250 _let_248 _let_115 (REORDERING (RESOLUTION _let_944 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_415 _let_279 _let_336 _let_334 _let_282 _let_285 _let_291 _let_294 _let_302 _let_386 _let_389 _let_404 _let_588 _let_594 _let_392 _let_396 _let_570 _let_344 _let_341 _let_317 _let_930 _let_932 _let_936 _let_547 _let_559 _let_618 _let_941) (SCOPE (TRANS _let_344 (SYMM _let_712) _let_943 (CONG (TRANS _let_416 _let_916) (TRANS (CONG _let_406 (SYMM _let_940) :args _let_278) (SYMM _let_620) (CONG (TRANS (TRANS (CONG _let_406 (TRANS (CONG _let_394 (SYMM _let_939) :args _let_278) (CONG _let_394 _let_940 :args _let_278) _let_393 _let_296 _let_293 _let_913 _let_911 _let_280) :args _let_278) _let_928) _let_595 (TRANS _let_596 _let_927 (CONG _let_926 _let_916 :args _let_278) (CONG _let_925 _let_298 :args _let_278) (SYMM _let_924))) _let_281 :args _let_278) _let_923 _let_922 _let_387) :args _let_278) (CONG _let_918 _let_921 :args _let_278) _let_917 _let_555 _let_388 _let_553 _let_296 _let_293 _let_913 _let_911 _let_280 _let_909) :args (_let_104 _let_187 _let_193 _let_167 _let_173 _let_152 _let_186 _let_156 _let_108 _let_106 _let_62 _let_105 _let_429 _let_426 _let_103 _let_65 _let_67 _let_66 _let_60 _let_177 _let_896 _let_181 _let_895 _let_79 _let_84 _let_434 _let_431))) :args _let_908)) :args _let_907) :args ((or _let_276 _let_367 _let_366 _let_348 _let_347 _let_168 _let_157 _let_153 _let_275 _let_274 _let_273 _let_384 _let_272 _let_905 _let_383 _let_535 _let_271 _let_270 _let_269 _let_532 _let_904 _let_528 _let_454 _let_527 _let_903 _let_523 _let_902 _let_520))) _let_756 _let_901 _let_140 _let_900 _let_750 _let_137 _let_899 _let_131 _let_129 _let_256 _let_254 _let_745 _let_123 _let_898 _let_252 _let_120 _let_250 _let_248 _let_115 _let_419 :args ((or _let_367 _let_366 _let_348 _let_347 _let_168 _let_157 _let_153 _let_897) false _let_456 false _let_434 false _let_896 false _let_84 false _let_431 false _let_429 false _let_79 false _let_895 false _let_67 false _let_66 false _let_187 false _let_186 false _let_426 false _let_65 false _let_181 false _let_177 false _let_62 false _let_173 false _let_193 false _let_60 false _let_454 false _let_434 false _let_896 false _let_84 false _let_431 false _let_429 false _let_79 false _let_895 false _let_67 false _let_66 false _let_187 false _let_186 false _let_426 false _let_65 false _let_181 false _let_177 false _let_62 false _let_173 false _let_193 false _let_60 false _let_108)))) (let ((_let_958 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_350 _let_161))))) (let ((_let_959 (REFL :args (_let_523)))) (let ((_let_960 (REFL :args (_let_528)))) (let ((_let_961 (REFL :args (_let_532)))) (let ((_let_962 (REFL :args (_let_270)))) (let ((_let_963 (REFL :args (_let_271)))) (let ((_let_964 (REFL :args (_let_383)))) (let ((_let_965 (REFL :args (_let_384)))) (let ((_let_966 (REFL :args (_let_273)))) (let ((_let_967 (REFL :args (_let_153)))) (let ((_let_968 (REFL :args (_let_157)))) (let ((_let_969 (REFL :args (_let_366)))) (let ((_let_970 (REFL :args (_let_367)))) (let ((_let_971 (REFL :args (_let_276)))) (let ((_let_972 (SYMM _let_768))) (let ((_let_973 (ASSUME :args (_let_496)))) (let ((_let_974 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_107 _let_160))))) (let ((_let_975 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_350 _let_160))))) (let ((_let_976 (MACRO_RESOLUTION_TRUST _let_371 _let_975 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_352 _let_160))) :args ((or _let_160 _let_370) false _let_350 false _let_352)))) (let ((_let_977 (MACRO_RESOLUTION_TRUST _let_957 _let_894 _let_381 _let_888 _let_379 _let_893 _let_375 _let_891 _let_976 _let_974 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_279 _let_285 _let_804 _let_772 _let_334 _let_973) :args (_let_108 _let_106 _let_103 _let_160 _let_161 _let_167 _let_156 _let_152 _let_361 _let_173 _let_62 _let_65 _let_186 _let_187 _let_67 _let_363 _let_79 _let_84 _let_496 _let_365)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_973)) (TRUE_INTRO (TRANS _let_449 (SYMM (TRANS _let_773 _let_972 _let_286 _let_449)) (SYMM (TRANS _let_335 _let_772)))))) :args (_let_187 _let_152 _let_766 _let_161 _let_167 _let_496)) :args ((not (and _let_108 _let_106 _let_103 _let_160 _let_161 _let_167 _let_156 _let_152 _let_361 _let_173 _let_62 _let_65 _let_186 _let_187 _let_67 _let_363 _let_79 _let_84 _let_496 _let_365)) SB_LITERAL))) (CONG _let_971 _let_970 _let_969 (REFL :args (_let_163)) (REFL :args (_let_162)) (REFL :args (_let_168)) _let_968 _let_967 (REFL :args (_let_764)) _let_966 _let_965 _let_964 _let_963 _let_962 _let_961 (REFL :args (_let_763)) _let_960 _let_959 (MACRO_SR_PRED_INTRO :args ((= (not _let_496) _let_495))) (REFL :args (_let_762)) :args _let_240)) :args ((or _let_276 _let_367 _let_366 _let_163 _let_162 _let_168 _let_157 _let_153 _let_764 _let_273 _let_384 _let_383 _let_271 _let_270 _let_532 _let_763 _let_528 _let_495 _let_523 _let_762))) _let_760 _let_140 _let_137 _let_749 _let_131 _let_256 _let_254 _let_123 _let_120 _let_250 _let_744 (REORDERING (CNF_OR_POS :args (_let_497)) :args ((or _let_496 _let_494 (not _let_497)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) _let_888 _let_887 _let_884 _let_239 _let_883 _let_761 _let_760 _let_851 _let_759 _let_850 _let_849 _let_758 _let_262 _let_757 _let_756 _let_755 _let_754 _let_140 _let_848 _let_753 _let_752 _let_751 _let_847 _let_750 _let_137 _let_749 _let_135 _let_846 _let_748 _let_131 _let_129 _let_256 _let_254 _let_747 _let_745 _let_123 _let_252 _let_120 _let_250 _let_248 _let_115 _let_744 _let_113 _let_235 _let_958 (MACRO_RESOLUTION_TRUST _let_957 _let_894 _let_381 _let_888 _let_379 _let_893 _let_375 _let_891 _let_371 _let_890 _let_889 (MACRO_RESOLUTION_TRUST _let_888 _let_887 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (_let_695 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) _let_884 (REORDERING (CNF_OR_POS :args (_let_701)) :args ((or _let_700 _let_699 (not _let_701)))) _let_883 _let_761 _let_760 _let_851 _let_759 _let_850 _let_849 _let_758 _let_262 _let_757 _let_756 _let_755 _let_754 _let_140 _let_848 _let_753 _let_752 _let_751 _let_847 _let_750 _let_137 _let_749 _let_135 _let_846 _let_748 _let_131 _let_129 _let_256 _let_254 _let_747 _let_745 _let_123 _let_252 _let_120 _let_250 _let_248 _let_115 _let_744 _let_113 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_765)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_279 _let_282 _let_285 _let_291 _let_728 _let_336 _let_334 _let_386 _let_294 _let_392 _let_396 _let_570 _let_547 _let_559 _let_389 _let_302 _let_322 _let_404 _let_588 _let_594 _let_599 _let_635 _let_641 _let_618 _let_628 _let_647 _let_651 _let_655 _let_659 _let_314 _let_542 _let_624 _let_584 _let_605 _let_607 _let_613 _let_577 _let_732 _let_735 _let_737 _let_741) (SCOPE (TRANS _let_719 (CONG (TRANS _let_322 _let_825 _let_636 _let_824 _let_643 _let_838 _let_685 _let_837 _let_629 _let_836 _let_656 _let_835 _let_713 _let_282 _let_845) :args _let_805) (CONG (TRANS _let_288 _let_283 _let_338 (SYMM _let_835) _let_657 _let_833 _let_630 _let_829 _let_684 _let_828 _let_681 (CONG (TRANS _let_817 _let_595 _let_814 (TRANS _let_743 (CONG _let_726 _let_297 :args _let_278) (SYMM _let_807) _let_729 (SYMM _let_844)) (TRANS _let_844 _let_730 _let_807)) _let_331 :args _let_278)) :args _let_805)) :args (_let_187 _let_173 _let_152 _let_186 _let_694 _let_193 _let_167 _let_106 _let_156 _let_103 _let_65 _let_67 _let_79 _let_84 _let_62 _let_108 _let_209 _let_105 _let_429 _let_426 _let_76 _let_471 _let_475 _let_434 _let_469 _let_479 _let_474 _let_463 _let_462 _let_194 _let_478 _let_467 _let_464 _let_473 _let_480 _let_477 _let_184 _let_689 _let_692 _let_691 _let_350))) _let_804 _let_285) (SCOPE (TRANS _let_287 _let_768 (SYMM (SYMM (ASSUME :args (_let_767))))) :args (_let_767 _let_766 _let_152))) :args (_let_108 _let_106 _let_350 _let_103 _let_160 _let_161 _let_105 _let_167 _let_156 _let_152 _let_361 _let_193 _let_173 _let_62 _let_694 _let_65 _let_426 _let_184 _let_480 _let_186 _let_187 _let_67 _let_194 _let_479 _let_692 _let_478 _let_76 _let_363 _let_79 _let_429 _let_477 _let_475 _let_691 _let_689 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_467 _let_209 _let_464 _let_463 _let_365 _let_462))) :args (true _let_765)) :args ((or _let_276 _let_367 _let_351 _let_366 _let_163 _let_162 _let_347 _let_168 _let_157 _let_153 _let_764 _let_274 _let_273 _let_384 _let_709 _let_383 _let_535 _let_534 _let_533 _let_271 _let_270 _let_532 _let_268 _let_531 _let_708 _let_530 _let_529 _let_763 _let_528 _let_527 _let_526 _let_525 _let_707 _let_706 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_698 _let_265 _let_517 _let_516 _let_762 _let_515))) _let_761 _let_760 _let_759 _let_758 _let_262 (MACRO_RESOLUTION_TRUST _let_501 _let_117 :args (_let_467 false _let_53)) _let_757 _let_756 _let_755 _let_754 _let_140 _let_753 (MACRO_RESOLUTION_TRUST _let_702 _let_117 :args (_let_689 false _let_53)) (MACRO_RESOLUTION_TRUST _let_703 _let_117 :args (_let_691 false _let_53)) _let_752 _let_751 _let_750 _let_137 _let_749 _let_135 (MACRO_RESOLUTION_TRUST _let_510 _let_117 :args (_let_478 false _let_53)) (MACRO_RESOLUTION_TRUST _let_704 _let_117 :args (_let_692 false _let_53)) _let_748 _let_258 _let_131 _let_256 _let_254 _let_747 _let_746 _let_745 _let_123 (MACRO_RESOLUTION_TRUST _let_705 _let_117 :args (_let_694 false _let_53)) _let_120 _let_250 _let_248 _let_744 _let_239 _let_235 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_710)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_302 _let_386 _let_389 _let_294 _let_291 _let_285 _let_282 _let_279 _let_392 _let_396 _let_570 _let_547 _let_559 _let_344 _let_341 _let_336 _let_334 _let_322 _let_404 _let_588 _let_594 _let_599 _let_635 _let_641 _let_618 _let_628 _let_647 _let_651 _let_655 _let_659 _let_584 _let_605 _let_607 _let_613 _let_317 _let_672 _let_728 _let_314 _let_542 _let_624 _let_577 _let_732 _let_735 _let_737 _let_741) (SCOPE (TRANS _let_449 _let_448 (CONG (TRANS _let_590 (TRANS _let_338 (SYMM _let_720) _let_657 _let_654 _let_630 _let_627 _let_684 _let_714 _let_681 (CONG (TRANS _let_601 _let_595 _let_597 (TRANS _let_743 (CONG _let_726 _let_545 :args _let_278) (SYMM _let_727) _let_729 (SYMM _let_740)) (TRANS _let_740 _let_730 _let_727)) _let_331 :args _let_278))) (TRANS _let_449 _let_448 _let_444 _let_443 _let_552 _let_687 _let_554 _let_686 (SYMM _let_711) (SYMM _let_724) _let_673 (SYMM _let_725)) :args _let_278) (CONG (REFL :args (_let_695)) (TRANS _let_725 _let_674 _let_724 _let_711 _let_556 _let_555 _let_388 _let_553) :args _let_278)) :args (_let_108 _let_106 _let_62 _let_156 _let_186 _let_152 _let_173 _let_187 _let_103 _let_65 _let_67 _let_79 _let_84 _let_66 _let_60 _let_193 _let_167 _let_209 _let_105 _let_429 _let_426 _let_76 _let_471 _let_475 _let_434 _let_469 _let_479 _let_474 _let_463 _let_462 _let_464 _let_473 _let_480 _let_477 _let_177 _let_482 _let_694 _let_194 _let_478 _let_467 _let_184 _let_689 _let_692 _let_691 _let_350))) :args (_let_108 _let_106 _let_350 _let_103 _let_105 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_62 _let_177 _let_694 _let_65 _let_426 _let_184 _let_480 _let_186 _let_187 _let_66 _let_67 _let_194 _let_479 _let_692 _let_478 _let_76 _let_79 _let_429 _let_477 _let_475 _let_691 _let_689 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_467 _let_209 _let_464 _let_482 _let_463 _let_462))) :args (true _let_710)) :args ((or _let_276 _let_367 _let_351 _let_366 _let_347 _let_168 _let_157 _let_153 _let_275 _let_274 _let_273 _let_384 _let_272 _let_709 _let_383 _let_535 _let_534 _let_533 _let_271 _let_270 _let_269 _let_532 _let_268 _let_531 _let_708 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_707 _let_706 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_696 _let_265 _let_517 _let_670 _let_516 _let_515))) _let_705 _let_513 _let_257 _let_704 _let_510 _let_703 _let_702 _let_501 _let_688 _let_114 _let_247 _let_249 _let_110 _let_119 _let_251 _let_122 _let_514 _let_512 _let_253 _let_255 _let_128 _let_130 _let_511 _let_134 _let_136 _let_509 _let_508 _let_507 _let_506 _let_139 _let_505 _let_504 _let_503 _let_502 _let_261 _let_500 _let_125 _let_669 _let_499 _let_498 _let_117 _let_419 _let_233 _let_229 :args ((or _let_367 _let_351 _let_366 _let_163 _let_162 _let_347 _let_168 _let_157 _let_153) true _let_226 true _let_227 true _let_493 true _let_701 false _let_490 false _let_462 false _let_365 false _let_489 false _let_463 false _let_488 false _let_482 false _let_464 false _let_209 false _let_469 false _let_434 false _let_471 false _let_473 false _let_84 false _let_487 false _let_474 false _let_475 false _let_477 false _let_486 false _let_429 false _let_79 false _let_363 false _let_76 false _let_485 false _let_479 false _let_67 false _let_66 false _let_187 false _let_186 false _let_480 false _let_426 false _let_65 false _let_177 false _let_62 false _let_173 false _let_193 false _let_60 false _let_361 false _let_57 false _let_698 false _let_462 false _let_365 false _let_463 false _let_464 false _let_209 false _let_467 false _let_469 false _let_434 false _let_471 false _let_473 false _let_84 false _let_474 false _let_689 false _let_691 false _let_475 false _let_477 false _let_429 false _let_79 false _let_363 false _let_76 false _let_478 false _let_692 false _let_479 false _let_194 false _let_67 false _let_187 false _let_186 false _let_480 false _let_184 false _let_426 false _let_65 false _let_694 false _let_62 false _let_173 false _let_193 false _let_361 true _let_165 true _let_164 false _let_696 false _let_694 false _let_184 false _let_194 false _let_692 false _let_478 false _let_691 false _let_689 false _let_467 false _let_483 false _let_60 false _let_193 false _let_173 false _let_109 false _let_62 false _let_177 false _let_65 false _let_426 false _let_480 false _let_186 false _let_187 false _let_66 false _let_67 false _let_479 false _let_76 false _let_79 false _let_429 false _let_477 false _let_475 false _let_474 false _let_84 false _let_473 false _let_471 false _let_434 false _let_469 false _let_209 false _let_464 false _let_124 false _let_482 false _let_463 false _let_462 false _let_53 false _let_108 true _let_150 true _let_158)) _let_419 _let_233 _let_229 :args ((or _let_367 _let_351 _let_366 _let_163 _let_347 _let_168 _let_157 _let_153) false _let_458 false _let_104 false _let_165 true _let_349 true _let_226 true _let_227 true _let_453 true _let_354 false _let_107 false _let_352 true _let_161 false _let_108 true _let_150 true _let_158)) _let_688 _let_114 _let_251 _let_128 _let_669 _let_233 _let_229 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_536)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_294 _let_291 _let_285 _let_282 _let_279 _let_392 _let_386 _let_396 _let_542 _let_547 _let_302 _let_389 _let_559 _let_570 _let_577 _let_584 _let_404 _let_588 _let_594 _let_599 _let_605 _let_607 _let_613 _let_618 _let_624 _let_314 _let_628 _let_322 _let_635 _let_641 _let_647 _let_651 _let_655 _let_334 _let_659 _let_336) (SCOPE (TRANS _let_449 _let_448 (CONG (TRANS _let_590 (TRANS _let_338 (CONG _let_668 (TRANS _let_322 _let_645 _let_636 _let_644 _let_643 _let_640 _let_633 _let_632 _let_629 _let_667 _let_656 _let_666 _let_661 _let_658) :args _let_278) _let_657 _let_654 _let_630 _let_627 (SYMM _let_633) (SYMM _let_640) _let_642 _let_638 _let_637 _let_634 _let_323) (TRANS _let_322 _let_645 _let_636 _let_644 _let_643 _let_640 _let_633 _let_632 _let_629) _let_631) _let_621 :args _let_278) (CONG _let_321 _let_626 :args _let_278) _let_316 (CONG _let_306 (TRANS (SYMM _let_541) _let_543) :args _let_278) _let_625 (CONG (TRANS (TRANS (CONG _let_386 (SYMM _let_582) :args _let_278) _let_623 _let_614 _let_612 _let_609 _let_606 _let_604 _let_585 _let_580 _let_578) _let_583) _let_281 :args _let_278) (CONG _let_582 _let_537 :args _let_278) (CONG (REFL :args (_let_465)) _let_545 :args _let_278) _let_544 _let_541 _let_538) :args (_let_156 _let_186 _let_152 _let_173 _let_187 _let_103 _let_106 _let_65 _let_478 _let_79 _let_108 _let_62 _let_84 _let_67 _let_184 _let_464 _let_105 _let_429 _let_426 _let_76 _let_473 _let_480 _let_477 _let_434 _let_467 _let_194 _let_469 _let_209 _let_471 _let_475 _let_479 _let_474 _let_463 _let_167 _let_462 _let_193))) :args (_let_108 _let_106 _let_103 _let_105 _let_167 _let_156 _let_152 _let_193 _let_173 _let_62 _let_65 _let_426 _let_184 _let_480 _let_186 _let_187 _let_67 _let_194 _let_479 _let_478 _let_76 _let_79 _let_429 _let_477 _let_475 _let_474 _let_84 _let_473 _let_471 _let_434 _let_469 _let_467 _let_209 _let_464 _let_463 _let_462))) :args (true _let_536)) :args ((or _let_276 _let_367 _let_366 _let_347 _let_168 _let_157 _let_153 _let_274 _let_273 _let_384 _let_383 _let_535 _let_534 _let_533 _let_271 _let_270 _let_532 _let_268 _let_531 _let_530 _let_529 _let_528 _let_481 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_265 _let_517 _let_516 _let_515))) _let_247 _let_249 _let_110 _let_119 _let_122 _let_514 _let_513 _let_512 _let_253 _let_255 _let_130 _let_257 _let_511 _let_510 _let_134 _let_136 _let_509 _let_508 _let_507 _let_506 _let_139 _let_505 _let_504 _let_503 _let_502 _let_501 _let_261 _let_500 _let_125 _let_499 _let_498 _let_117 _let_419 :args ((or _let_367 _let_366 _let_163 _let_347 _let_168 _let_157 _let_153) false _let_365 false _let_84 false _let_79 false _let_363 false _let_67 false _let_187 false _let_186 false _let_65 false _let_62 false _let_173 false _let_361 true _let_495 false _let_497 false _let_227 true _let_226 true _let_493 true _let_165 false _let_490 false _let_462 false _let_365 false _let_489 false _let_463 false _let_488 false _let_482 false _let_464 false _let_209 false _let_469 false _let_434 false _let_471 false _let_473 false _let_84 false _let_487 false _let_474 false _let_475 false _let_477 false _let_486 false _let_429 false _let_79 false _let_363 false _let_76 false _let_485 false _let_479 false _let_67 false _let_66 false _let_187 false _let_186 false _let_480 false _let_426 false _let_65 false _let_177 false _let_62 false _let_173 false _let_193 false _let_60 false _let_361 false _let_57 true _let_164 false _let_161 true _let_350 false _let_483 false _let_60 false _let_177 false _let_66 false _let_482 true _let_150 true _let_158 false _let_481 false _let_193 false _let_173 false _let_109 false _let_62 false _let_65 false _let_426 false _let_184 false _let_480 false _let_186 false _let_187 false _let_67 false _let_194 false _let_479 false _let_478 false _let_76 false _let_79 false _let_429 false _let_477 false _let_475 false _let_474 false _let_84 false _let_473 false _let_471 false _let_434 false _let_469 false _let_467 false _let_209 false _let_464 false _let_124 false _let_463 false _let_462 false _let_53 false _let_108)) _let_419 _let_233 _let_229 :args ((or _let_367 _let_366 _let_347 _let_168 _let_157 _let_153) false _let_458 false _let_104 false _let_165 true _let_349 true _let_226 true _let_227 true _let_453 true _let_354 false _let_107 true _let_160 false _let_108 true _let_150 true _let_158)))) (let ((_let_978 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_237)) :args _let_236)))) (let ((_let_979 (REORDERING (CNF_OR_POS :args (_let_424)) :args ((or _let_423 _let_422 (not _let_424)))))) (let ((_let_980 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_428 false _let_53)))) (let ((_let_981 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_185 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_437 false _let_53)))) (let ((_let_982 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 _let_185 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_438 false _let_53)))) (let ((_let_983 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_185 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_439 false _let_53)))) (let ((_let_984 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 _let_7 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_440 false _let_53)))) (let ((_let_985 (not _let_440))) (let ((_let_986 (not _let_439))) (let ((_let_987 (not _let_438))) (let ((_let_988 (not _let_437))) (let ((_let_989 (not _let_428))) (let ((_let_990 (REFL :args (_let_520)))) (let ((_let_991 (REFL :args (_let_527)))) (let ((_let_992 (REFL :args (_let_529)))) (let ((_let_993 (REFL :args (_let_269)))) (let ((_let_994 (REFL :args (_let_275)))) (let ((_let_995 (REFL :args (_let_852)))) (let ((_let_996 (REFL :args (_let_347)))) (let ((_let_997 (REFL :args (_let_348)))) (let ((_let_998 (REFL :args (_let_452)))) (let ((_let_999 (REFL :args (_let_351)))) (let ((_let_1000 (tptp.inverse _let_435))) (let ((_let_1001 (= tptp.sk_c6 _let_1000))) (let ((_let_1002 (= tptp.sk_c8 _let_1000))) (let ((_let_1003 (ASSUME :args (_let_107)))) (let ((_let_1004 (SYMM _let_1003))) (let ((_let_1005 (ASSUME :args (_let_1002)))) (let ((_let_1006 (SYMM _let_1005))) (let ((_let_1007 (ASSUME :args (_let_422)))) (let ((_let_1008 (ASSUME :args (_let_439)))) (let ((_let_1009 (ASSUME :args (_let_428)))) (let ((_let_1010 (CONG _let_406 (SYMM _let_806) :args _let_278))) (let ((_let_1011 (CONG _let_1010 _let_284 :args _let_278))) (let ((_let_1012 (TRANS _let_600 _let_816 _let_1010))) (let ((_let_1013 (TRANS _let_924 (CONG _let_812 _let_298 :args _let_278) (CONG _let_811 _let_297 :args _let_278) _let_1010 _let_595))) (let ((_let_1014 (TRANS _let_588 (SYMM _let_810) (CONG (TRANS _let_289 (TRANS _let_282 _let_845 (CONG (TRANS _let_1013 _let_596 (SYMM _let_1012)) _let_284 :args _let_278) (CONG _let_1012 _let_284 :args _let_278) (SYMM _let_1011)) (TRANS _let_1011 (SYMM (SYMM _let_1009)) (CONG _let_812 (REFL :args (_let_427)) :args _let_278) (CONG _let_811 (CONG _let_806 _let_284 :args _let_278) :args _let_278))) _let_406 :args _let_278) (SYMM (SYMM _let_1008)) (CONG _let_406 _let_811 :args _let_278)))) (let ((_let_1015 (CONG _let_1014 :args _let_805))) (let ((_let_1016 (CONG _let_300 _let_391 :args _let_278))) (let ((_let_1017 (CONG _let_297 _let_297 :args _let_278))) (let ((_let_1018 (CONG _let_298 _let_300 :args _let_278))) (let ((_let_1019 (TRANS _let_386 _let_1018 _let_1017))) (let ((_let_1020 (SYMM _let_1018))) (let ((_let_1021 (SYMM _let_1017))) (let ((_let_1022 (TRANS (CONG _let_557 (TRANS _let_279 _let_413 _let_292 _let_295 _let_302 _let_687 _let_389 (SYMM _let_1016)) :args _let_278) _let_560 (CONG _let_781 (SYMM _let_1019) :args _let_278) (CONG _let_568 _let_1019 :args _let_278) _let_571 _let_775 _let_1021 _let_1020 _let_387))) (let ((_let_1023 (ASSUME :args (_let_437)))) (let ((_let_1024 (SYMM _let_1004))) (let ((_let_1025 (TRANS _let_279 _let_413 _let_292 _let_295 _let_1024))) (let ((_let_1026 (ASSUME :args (_let_440)))) (let ((_let_1027 (ASSUME :args (_let_438)))) (let ((_let_1028 (CONG (TRANS (CONG _let_726 _let_812 :args _let_278) (SYMM _let_1027) (CONG (TRANS (TRANS (CONG _let_726 _let_877 :args _let_278) (SYMM _let_1026) (CONG (TRANS (CONG _let_726 (SYMM _let_1025) :args _let_278) (CONG _let_726 _let_300 :args _let_278) _let_742) _let_394 :args _let_278) (CONG _let_1025 _let_394 :args _let_278) _let_871) _let_340) _let_1014 :args _let_278) (SYMM _let_1023) (CONG _let_811 _let_406 :args _let_278)) :args _let_805))) (let ((_let_1029 (CONG _let_417 _let_306 :args _let_278))) (let ((_let_1030 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_279 (MODUS_PONENS (AND_INTRO _let_588 _let_282 _let_285 _let_1008 _let_279 _let_291 _let_1009 _let_294 _let_392 _let_386 _let_396 _let_599 _let_594 _let_404 _let_415) (SCOPE (TRANS _let_909 _let_1015) :args (_let_429 _let_173 _let_152 _let_439 _let_187 _let_186 _let_428 _let_156 _let_103 _let_106 _let_65 _let_76 _let_426 _let_105 _let_104))) (MODUS_PONENS (AND_INTRO _let_588 _let_282 _let_285 _let_1008 _let_279 _let_291 _let_1009 _let_294 _let_392 _let_386 _let_396 _let_599 _let_594 _let_404 _let_415 _let_302 _let_389 _let_1023 _let_870 _let_1003 _let_741 _let_1026 _let_1027 _let_570 _let_547 _let_559 _let_618 _let_941 _let_341 _let_344) (SCOPE (TRANS _let_346 _let_1029 _let_943 (CONG (TRANS (TRANS _let_1015 (SYMM _let_1028)) (TRANS _let_1028 (SYMM _let_1015) _let_416) _let_300) (TRANS (CONG _let_406 (SYMM _let_1022) :args _let_278) _let_619 (CONG (TRANS (TRANS (CONG _let_406 (TRANS _let_808 (CONG _let_394 _let_1022 :args _let_278) _let_393 _let_296 _let_293 _let_290 _let_280) :args _let_278) _let_1010) _let_595 (SYMM _let_1013)) _let_281 :args _let_278) _let_1021 _let_1020 _let_387) :args _let_278) (CONG _let_297 _let_1019 :args _let_278) _let_1016 _let_390 _let_388 _let_303 _let_296 _let_293 _let_290 _let_280 _let_909 _let_1015) :args (_let_429 _let_173 _let_152 _let_439 _let_187 _let_186 _let_428 _let_156 _let_103 _let_106 _let_65 _let_76 _let_426 _let_105 _let_104 _let_108 _let_62 _let_437 _let_57 _let_107 _let_350 _let_440 _let_438 _let_67 _let_79 _let_84 _let_434 _let_431 _let_60 _let_66))) _let_285 _let_450 _let_392 _let_1003 _let_1007) :args (_let_108 _let_106 _let_350 _let_107 _let_103 _let_104 _let_105 _let_156 _let_152 _let_57 _let_60 _let_173 _let_62 _let_65 _let_426 _let_186 _let_187 _let_66 _let_67 _let_428 _let_76 _let_79 _let_429 _let_431 _let_84 _let_434 _let_422 _let_437 _let_438 _let_439 _let_440)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_1007)) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM (ASSUME :args (_let_1001)))) _let_1006) _let_449 (SYMM (TRANS _let_1006 _let_449)) (SYMM (TRANS _let_286 _let_1005)) (SYMM (TRANS _let_1004 _let_442 (SYMM (ASSUME :args (_let_420))) _let_285)))))) :args (_let_187 _let_1002 _let_1001 _let_152 _let_420 _let_103 _let_107 _let_422)) :args ((not (and _let_108 _let_106 _let_350 _let_107 _let_103 _let_104 _let_105 _let_156 _let_152 _let_57 _let_60 _let_173 _let_62 _let_65 _let_426 _let_186 _let_187 _let_66 _let_67 _let_428 _let_76 _let_79 _let_429 _let_431 _let_84 _let_434 _let_422 _let_437 _let_438 _let_439 _let_440)) SB_LITERAL))) (CONG _let_971 _let_970 _let_999 _let_998 _let_969 _let_997 _let_996 _let_968 _let_967 _let_995 _let_994 _let_966 _let_965 _let_964 (REFL :args (_let_535)) _let_963 _let_962 _let_993 _let_961 (REFL :args (_let_989)) _let_992 _let_960 _let_991 (REFL :args (_let_903)) _let_959 _let_990 (MACRO_SR_PRED_INTRO :args ((= (not _let_422) _let_421))) (REFL :args (_let_988)) (REFL :args (_let_987)) (REFL :args (_let_986)) (REFL :args (_let_985)) :args _let_240)) :args ((or _let_276 _let_367 _let_351 _let_452 _let_366 _let_348 _let_347 _let_157 _let_153 _let_852 _let_275 _let_273 _let_384 _let_383 _let_535 _let_271 _let_270 _let_269 _let_532 _let_989 _let_529 _let_528 _let_421 _let_527 _let_903 _let_523 _let_520 _let_988 _let_987 _let_986 _let_985))))) (let ((_let_1031 (and _let_108 _let_106 _let_103 _let_160 _let_161 _let_156 _let_152 _let_361 _let_173 _let_62 _let_65 _let_186 _let_187 _let_67 _let_363 _let_79 _let_84 _let_365))) (let ((_let_1032 (true _let_1031))) (let ((_let_1033 (_let_108 _let_106 _let_103 _let_160 _let_161 _let_156 _let_152 _let_361 _let_173 _let_62 _let_65 _let_186 _let_187 _let_67 _let_363 _let_79 _let_84 _let_365))) (let ((_let_1034 (CNF_AND_NEG :args (_let_1031)))) (let ((_let_1035 (TRANS _let_446 (CONG _let_286 _let_284 :args _let_278)))) (let ((_let_1036 (CONG _let_1035 _let_281 :args _let_278))) (let ((_let_1037 (TRANS _let_449 _let_1036 _let_292 _let_295))) (let ((_let_1038 (CONG _let_771 _let_1037 :args _let_278))) (let ((_let_1039 (SYMM _let_1036))) (let ((_let_1040 (TRANS _let_398 _let_395 _let_393 _let_294 _let_291 _let_1039 _let_280))) (let ((_let_1041 (CONG _let_771 _let_1040 :args _let_278))) (let ((_let_1042 (SYMM _let_1037))) (let ((_let_1043 (CONG _let_795 _let_1042 :args _let_278))) (let ((_let_1044 (TRANS _let_549 (CONG _let_394 _let_1040 :args _let_278) (CONG _let_394 _let_1037 :args _let_278)))) (let ((_let_1045 (CONG _let_1042 _let_1042 :args _let_278))) (let ((_let_1046 (CONG _let_298 _let_1037 :args _let_278))) (let ((_let_1047 (TRANS _let_386 _let_1046 _let_1045))) (let ((_let_1048 (SYMM _let_1044))) (let ((_let_1049 (CONG _let_1048 _let_1047 :args _let_278))) (let ((_let_1050 (CONG _let_568 (SYMM _let_1047) :args _let_278))) (let ((_let_1051 (CONG (SYMM _let_1040) _let_281 :args _let_278))) (let ((_let_1052 (TRANS _let_386 _let_1046 _let_1045 _let_1051 _let_572 _let_1050 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(SCOPE (INSTANTIATE _let_117 :args (_let_182 tptp.sk_c8 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_191 false _let_53)))) (let ((_let_1058 (and _let_108 _let_106 _let_159 _let_170 _let_156 _let_152 _let_173 _let_174 _let_177 _let_181 _let_184 _let_186 _let_187 _let_190 _let_191))) (let ((_let_1059 (_let_190 _let_181 _let_106 _let_184 _let_187 _let_173 _let_152 _let_186 _let_156 _let_159 _let_191 _let_174 _let_170 _let_177 _let_108))) (let ((_let_1060 (ASSUME :args (_let_190)))) (let ((_let_1061 (SYMM _let_1060))) (let ((_let_1062 (TRANS _let_579 _let_576))) (let ((_let_1063 (ASSUME :args (_let_159)))) (let ((_let_1064 (SYMM _let_1063))) (let ((_let_1065 (REFL :args (_let_182)))) (let ((_let_1066 (CONG _let_1065 (TRANS _let_1064 _let_296 _let_293 _let_290 _let_280) :args _let_278))) (let ((_let_1067 (ASSUME :args (_let_191)))) (let ((_let_1068 (SYMM _let_1067))) (let ((_let_1069 (SYMM _let_1068))) (let ((_let_1070 (REFL :args (tptp.sk_c2)))) (let ((_let_1071 (CONG (SYMM _let_1062) _let_1070 :args _let_278))) (let ((_let_1072 (ASSUME :args (_let_174)))) (let ((_let_1073 (SYMM _let_1072))) (let ((_let_1074 (SYMM _let_1071))) (let ((_let_1075 (SYMM _let_1066))) (let ((_let_1076 (SYMM _let_305))) (let ((_let_1077 (TRANS _let_279 _let_413 _let_292 _let_295))) (let ((_let_1078 (SYMM _let_1077))) (let ((_let_1079 (CONG _let_1078 _let_1078 :args _let_278))) (let ((_let_1080 (CONG _let_298 _let_1077 :args _let_278))) (let ((_let_1081 (CONG _let_321 (TRANS _let_386 _let_1080 _let_1079 (CONG _let_1077 (TRANS _let_1076 _let_580 _let_578 _let_1075 _let_1068 _let_1074 _let_1072) :args _let_278) (CONG _let_298 (TRANS _let_1073 _let_1071 _let_1069 _let_1066) :args _let_278) (CONG _let_298 _let_1062 :args _let_278) _let_933) :args _let_278))) (let ((_let_1082 (CONG _let_386 (TRANS _let_1071 _let_1069 _let_1066 _let_579 _let_576) :args _let_278))) (let ((_let_1083 (CONG _let_306 (TRANS _let_1076 _let_580 _let_578 _let_1075 _let_1068 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(_let_202 false _let_53)))) (let ((_let_1089 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_206 false _let_53)))) (let ((_let_1090 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_176 tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_207 false _let_53)))) (let ((_let_1091 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_208 false _let_53)))) (let ((_let_1092 (not _let_208))) (let ((_let_1093 (not _let_207))) (let ((_let_1094 (not _let_206))) (let ((_let_1095 (not _let_202))) (let 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_let_387 (TRANS _let_1117 _let_1116) :args _let_278))) (let ((_let_1140 (CONG _let_386 (TRANS (SYMM _let_1111) _let_311 (SYMM _let_1114) (SYMM _let_1115) (SYMM _let_1116) (SYMM _let_1117)) :args _let_278))) (let ((_let_1141 (ASSUME :args (_let_207)))) (let ((_let_1142 (SYMM (SYMM _let_1141)))) (let ((_let_1143 (ASSUME :args (_let_202)))) (let ((_let_1144 (SYMM _let_1143))) (let ((_let_1145 (REFL :args (_let_205)))) (let ((_let_1146 (ASSUME :args (_let_206)))) (let ((_let_1147 (SYMM (SYMM _let_1146)))) (let ((_let_1148 (CONG _let_583 (REFL :args (_let_154)) :args _let_278))) (let ((_let_1149 (ASSUME :args (_let_197)))) (let ((_let_1150 (SYMM _let_1149))) (let ((_let_1151 (MODUS_PONENS (AND_INTRO _let_1102 _let_294 _let_291 _let_285 _let_282 _let_279 _let_302 _let_304 _let_386 _let_577 _let_1063 _let_1067 _let_310 _let_1072 _let_932 _let_322 _let_324 _let_328 _let_334 _let_1137 _let_314 _let_1141 _let_1143 _let_336 _let_1146 _let_1149) (SCOPE (TRANS _let_304 _let_580 _let_578 (CONG 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_let_167 _let_156 _let_152 _let_193 _let_173 _let_174 _let_177 _let_181 _let_184 _let_186 _let_187 _let_194 _let_190 _let_196 _let_197 _let_191 _let_200 _let_202 _let_204 _let_206 _let_207 _let_208 _let_209 _let_210))) (let ((_let_1153 (= tptp.sk_c8 _let_189))) (let ((_let_1154 (= tptp.sk_c6 _let_211))) (let ((_let_1155 (= tptp.sk_c6 _let_213))) (let ((_let_1156 (TRANS _let_1105 _let_1069 _let_1066 _let_579 _let_576 _let_305))) (let ((_let_1157 (CONG _let_1156 _let_284 :args _let_278))) (let ((_let_1158 (TRANS _let_581 (TRANS _let_1075 _let_1068 _let_1107)))) (let ((_let_1159 (CONG (TRANS (CONG _let_1158 _let_284 :args _let_278) _let_1157 _let_288 _let_283) _let_313 :args _let_278))) (let ((_let_1160 (TRANS _let_326 _let_1159 _let_323))) (let ((_let_1161 (CONG _let_306 _let_1156 :args _let_278))) (let ((_let_1162 (TRANS _let_723 (CONG _let_387 _let_1158 :args _let_278) _let_1161 _let_303 _let_296 _let_293 _let_290 _let_280))) (let ((_let_1163 (SYMM _let_1158))) (let ((_let_1164 (CONG 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(let ((_let_1178 (ASSUME :args (_let_217)))) (let ((_let_1179 (TRANS _let_580 _let_578 _let_1075 _let_1068 _let_1107))) (let ((_let_1180 (TRANS _let_723 (CONG _let_387 _let_1179 :args _let_278) _let_1161 _let_303 _let_296 _let_293 _let_290 _let_280))) (let ((_let_1181 (CONG _let_1180 _let_281 :args _let_278))) (let ((_let_1182 (SYMM _let_1179))) (let ((_let_1183 (CONG _let_1182 _let_281 :args _let_278))) (let ((_let_1184 (CONG _let_387 (TRANS _let_1166 _let_1183) :args _let_278))) (let ((_let_1185 (CONG _let_1182 _let_305 :args _let_278))) (let ((_let_1186 (CONG _let_1179 _let_586 :args _let_278))) (let ((_let_1187 (SYMM _let_1180))) (let ((_let_1188 (CONG _let_313 _let_1187 :args _let_278))) (let ((_let_1189 (CONG _let_386 (TRANS _let_1188 _let_311 _let_1186 _let_1185 (SYMM _let_1183) _let_1167) :args _let_278))) (let ((_let_1190 (TRANS (CONG _let_1179 _let_284 :args _let_278) _let_1157 _let_288 _let_283))) (let ((_let_1191 (CONG _let_1190 _let_313 :args _let_278))) (let ((_let_1192 (TRANS _let_326 _let_1191 _let_323))) (let ((_let_1193 (CONG _let_386 _let_1192 :args _let_278))) (let ((_let_1194 (CONG _let_297 _let_1169 :args _let_278))) (let ((_let_1195 (TRANS _let_932 _let_1120 _let_1171 _let_1194 _let_301 _let_299 _let_387))) (let ((_let_1196 (not _let_150))) (let ((_let_1197 (_let_1196))) (let ((_let_1198 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1197)) :args _let_1197)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1196) _let_150))) (REFL :args (_let_228)) :args _let_240)) (MACRO_RESOLUTION_TRUST _let_888 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (_let_201 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_886 :args (_let_188 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_892)) :args _let_885)) (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_224 _let_223 (not _let_225)))) (REORDERING (CNF_OR_POS :args (_let_222)) :args ((or _let_221 _let_220 (not 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_let_278) _let_1144) (TRANS _let_1142 (CONG (TRANS (TRANS (CONG _let_321 _let_297 :args _let_278) _let_316 _let_1189 _let_1184 _let_1138 _let_1181 (SYMM _let_1194) _let_1172 _let_1121 _let_933) _let_1195) (SYMM _let_1192) :args _let_278) _let_1193 _let_633)) _let_297 :args _let_278) _let_316 _let_1189 _let_1184 _let_1138 _let_1181 (CONG (TRANS _let_304 _let_580 _let_578 (CONG _let_1065 _let_304 :args _let_278) (SYMM (SYMM _let_1178)) (CONG _let_313 _let_933 :args _let_278) (SYMM _let_1177)) _let_1165 :args _let_278) (CONG (REFL :args (_let_215)) _let_1156 :args _let_278) (SYMM (SYMM _let_1176)) (CONG (REFL :args (_let_201)) _let_303 :args _let_278)) :args (_let_108 _let_218 _let_170 _let_106 _let_184 _let_187 _let_173 _let_152 _let_186 _let_156 _let_159 _let_191 _let_216 _let_181 _let_217 _let_196 _let_204 _let_194 _let_209 _let_210 _let_174 _let_207 _let_202 _let_167 _let_200 _let_208 _let_193 _let_206 _let_197))) :args (_let_108 _let_106 _let_159 _let_170 _let_167 _let_156 _let_152 _let_193 _let_173 _let_174 _let_181 _let_184 _let_186 _let_187 _let_194 _let_216 _let_196 _let_197 _let_191 _let_200 _let_202 _let_204 _let_206 _let_207 _let_217 _let_208 _let_209 _let_218 _let_210))) :args (true _let_1175)) :args ((or _let_276 _let_367 _let_1100 _let_171 _let_168 _let_157 _let_153 _let_274 _let_273 _let_1099 _let_905 _let_534 _let_271 _let_270 _let_268 (not _let_216) _let_1098 _let_1097 _let_1096 _let_267 _let_1095 _let_266 _let_1094 _let_1093 (not _let_217) _let_1092 _let_219 _let_265 (not _let_218) _let_264))) _let_263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_201 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_218 false _let_53)) _let_262 _let_1091 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 _let_169 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_217 false _let_53)) _let_1090 _let_1089 _let_260 _let_1088 _let_259 _let_1057 _let_1087 _let_1086 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_179 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_216 false _let_53)) _let_258 _let_256 _let_254 _let_746 _let_898 _let_1055 _let_250 _let_248 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_1141 _let_294 _let_291 _let_285 _let_282 _let_279 _let_314 _let_386 _let_302 _let_304 _let_577 _let_1063 _let_1067 _let_310 _let_1137 _let_1072 _let_932 _let_322 _let_324 _let_328 _let_334) (SCOPE (TRANS _let_719 (CONG (TRANS _let_322 (SYMM _let_1159) _let_325 (CONG _let_1158 _let_331 :args _let_278) _let_1174 (CONG _let_1168 _let_331 :args _let_278) _let_330 (SYMM _let_1173) _let_685) :args _let_805) (CONG (TRANS _let_684 _let_1173 (CONG (TRANS (TRANS _let_386 _let_1080 _let_1079 (SYMM _let_1170) _let_1172 _let_1121 _let_933) (TRANS _let_934 _let_1120 _let_1171 _let_1170 (CONG _let_1168 _let_281 :args _let_278) (SYMM _let_1138) (CONG _let_386 (TRANS (SYMM _let_1164) _let_1167) :args _let_278) (CONG _let_387 (TRANS _let_1166 _let_1164 (CONG _let_1158 _let_304 :args _let_278) (CONG _let_1163 _let_586 :args _let_278) _let_1112 (CONG _let_313 _let_1162 :args _let_278)) :args _let_278) (SYMM _let_316) (CONG _let_321 _let_1077 :args _let_278))) _let_1160 :args _let_278) (SYMM _let_1142)) :args _let_805)) :args (_let_207 _let_156 _let_186 _let_152 _let_173 _let_187 _let_194 _let_106 _let_108 _let_170 _let_184 _let_159 _let_191 _let_204 _let_196 _let_174 _let_181 _let_209 _let_210 _let_200 _let_167))) (MODUS_PONENS (AND_INTRO _let_1102 _let_294 _let_291 _let_285 _let_282 _let_279 _let_302 _let_304 _let_386 _let_577 _let_1063 _let_1067 _let_310 _let_1072 _let_932 _let_322 _let_324 _let_328 _let_334) (SCOPE (TRANS _let_719 _let_1135 _let_1126) :args (_let_208 _let_156 _let_186 _let_152 _let_173 _let_187 _let_108 _let_170 _let_106 _let_184 _let_159 _let_191 _let_204 _let_174 _let_181 _let_209 _let_210 _let_200 _let_167))) _let_1151 (MODUS_PONENS _let_1084 (SCOPE (TRANS _let_279 _let_413 _let_292 _let_295 _let_552 _let_1083 _let_1082 _let_678 _let_318 _let_1081 _let_1061) :args _let_1059)) _let_1085) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_192)))) (SYMM (ASSUME :args (_let_1153))) (SYMM (SYMM (ASSUME :args (_let_212)))) (SYMM (ASSUME :args (_let_1154))) (SYMM (SYMM (ASSUME :args (_let_1155))))) :args (_let_1155 _let_1154 _let_212 _let_1153 _let_192))) :args (_let_108 _let_106 _let_159 _let_170 _let_167 _let_156 _let_152 _let_193 _let_173 _let_174 _let_177 _let_181 _let_184 _let_186 _let_187 _let_194 _let_190 _let_196 _let_197 _let_191 _let_200 _let_202 _let_204 _let_206 _let_207 _let_208 _let_209 _let_210))) :args (true _let_1152)) :args ((or _let_276 _let_367 _let_1100 _let_171 _let_168 _let_157 _let_153 _let_274 _let_273 _let_1099 _let_272 _let_905 _let_534 _let_271 _let_270 _let_268 (not _let_190) _let_1098 _let_1097 _let_1096 _let_267 _let_1095 _let_266 _let_1094 _let_1093 _let_1092 _let_214 _let_265 _let_264))) _let_263 _let_262 _let_1091 _let_1090 _let_1089 _let_260 _let_1088 _let_259 _let_1057 _let_1087 _let_1086 _let_1056 _let_258 _let_256 _let_254 _let_746 _let_898 _let_252 _let_1055 _let_250 _let_248 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1101)) (IMPLIES_ELIM (SCOPE _let_1151 :args (_let_108 _let_106 _let_159 _let_170 _let_167 _let_156 _let_152 _let_193 _let_173 _let_174 _let_181 _let_184 _let_186 _let_187 _let_194 _let_196 _let_197 _let_191 _let_200 _let_202 _let_204 _let_206 _let_207 _let_208 _let_209 _let_210))) :args (true _let_1101)) :args ((or _let_276 _let_367 _let_1100 _let_171 _let_168 _let_157 _let_153 _let_274 _let_273 _let_1099 _let_905 _let_534 _let_271 _let_270 _let_268 _let_1098 _let_1097 _let_1096 _let_267 _let_1095 _let_266 _let_1094 _let_1093 _let_1092 _let_212 _let_265 _let_264))) _let_263 _let_262 _let_1091 _let_1090 _let_1089 _let_260 _let_1088 _let_259 _let_1057 _let_1087 _let_1086 _let_258 _let_256 _let_254 _let_746 _let_898 _let_1055 _let_250 _let_248 (RESOLUTION (CNF_AND_NEG :args (_let_1058)) (IMPLIES_ELIM (SCOPE _let_1085 :args (_let_108 _let_106 _let_159 _let_170 _let_156 _let_152 _let_173 _let_174 _let_177 _let_181 _let_184 _let_186 _let_187 _let_190 _let_191))) :args (true _let_1058)) _let_1057 _let_1056 _let_256 _let_254 _let_746 _let_898 _let_252 _let_1055 _let_250 _let_246 _let_245 _let_243 _let_239 _let_235 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_161))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_160))) _let_1054 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_1034 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_294 _let_291 _let_285 _let_282 _let_279 _let_392 _let_386 _let_396 _let_792 _let_547 _let_302 _let_389 _let_559 _let_570 _let_798 _let_789 _let_772 _let_769) (SCOPE (TRANS _let_449 _let_1036 (CONG (TRANS (SYMM _let_1035) (TRANS (SYMM _let_770) (CONG (TRANS _let_773 _let_1052 _let_1044) _let_771 :args _let_278))) _let_1037 :args _let_278) _let_882 (CONG (TRANS _let_1048 (SYMM _let_1052) _let_386) (TRANS (SYMM _let_1038) (SYMM _let_1041) _let_793 (SYMM _let_1043) (SYMM _let_1053)) :args _let_278) (CONG (TRANS _let_387 _let_1052) _let_391 :args _let_278) (SYMM _let_1049) (SYMM _let_1050) _let_571 (SYMM _let_1051) _let_1053 _let_1043 _let_794 _let_1041 _let_1038) :args (_let_156 _let_186 _let_152 _let_173 _let_187 _let_103 _let_106 _let_65 _let_363 _let_79 _let_108 _let_62 _let_84 _let_67 _let_160 _let_365 _let_161 _let_361))) :args _let_1033)) :args _let_1032) :args ((or _let_276 _let_367 _let_366 _let_163 _let_162 _let_157 _let_153 _let_764 _let_273 _let_384 _let_383 _let_271 _let_270 _let_532 _let_763 _let_528 _let_356 _let_523 _let_762))) _let_760 _let_140 _let_137 _let_749 _let_131 _let_256 _let_254 _let_123 _let_120 _let_250 _let_744 (REORDERING (CNF_OR_POS :args (_let_360)) :args ((or _let_359 _let_357 (not _let_360)))) (REORDERING (RESOLUTION _let_1034 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_772 _let_804 _let_285) (SCOPE (TRANS _let_287 (SYMM _let_972) _let_774) :args (_let_161 _let_766 _let_152))) :args _let_1033)) :args _let_1032) :args ((or _let_276 _let_367 _let_366 _let_163 _let_162 _let_157 _let_153 _let_764 _let_273 _let_384 _let_383 _let_271 _let_270 _let_532 _let_763 _let_528 _let_358 _let_523 _let_762))) _let_760 _let_140 _let_137 _let_749 _let_131 _let_256 _let_254 _let_123 _let_120 _let_250 _let_744 (MACRO_RESOLUTION_TRUST _let_371 _let_958 _let_889 :args ((or _let_161 _let_370) false _let_350 false _let_352)) _let_976 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_374 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_373)) :args _let_372)) _let_375 _let_379 _let_382 (MACRO_RESOLUTION_TRUST _let_379 _let_381 _let_375 _let_1030 _let_984 _let_983 _let_982 _let_981 _let_756 _let_140 _let_900 _let_750 _let_137 _let_135 _let_980 _let_131 _let_129 _let_256 _let_254 _let_745 _let_123 _let_120 _let_250 _let_115 _let_113 _let_371 _let_890 _let_958 _let_889 _let_235 (MACRO_RESOLUTION_TRUST _let_1030 _let_984 _let_983 _let_982 _let_981 _let_756 _let_140 _let_900 _let_750 _let_137 _let_135 _let_980 _let_131 _let_129 _let_256 _let_254 _let_745 _let_123 _let_120 _let_250 _let_115 _let_113 _let_381 _let_379 _let_375 _let_976 _let_974 _let_975 _let_419 _let_979 _let_451 _let_249 _let_110 _let_253 _let_117 _let_255 _let_125 _let_978 _let_243 _let_246 _let_977 :args ((or _let_160 _let_367 _let_366 _let_347 _let_157 _let_153) false _let_440 false _let_439 false _let_438 false _let_437 false _let_434 false _let_84 false _let_431 false _let_429 false _let_79 false _let_76 false _let_428 false _let_67 false _let_66 false _let_187 false _let_186 false _let_426 false _let_65 false _let_62 false _let_173 false _let_60 false _let_57 false _let_104 true _let_349 true _let_227 true _let_354 false _let_107 false _let_350 false _let_108 true _let_421 false _let_420 false _let_173 false _let_109 false _let_186 false _let_53 false _let_187 false _let_124 false _let_424 false _let_165 false _let_172 true _let_167)) _let_979 _let_239 _let_978 _let_243 _let_246 _let_977 _let_451 _let_249 _let_110 _let_253 _let_117 _let_255 _let_125 _let_419 :args ((or _let_367 _let_366 _let_347 _let_157 _let_153) false _let_349 true _let_227 true _let_104 false _let_440 false _let_439 false _let_438 false _let_437 false _let_434 false _let_84 false _let_431 false _let_429 false _let_79 false _let_76 false _let_428 false _let_67 false _let_66 false _let_187 false _let_186 false _let_426 false _let_65 false _let_62 false _let_173 false _let_60 false _let_57 true _let_354 false _let_107 false _let_350 false _let_352 true _let_161 false _let_160 true _let_421 false _let_164 false _let_424 false _let_165 false _let_172 true _let_167 false _let_420 false _let_173 false _let_109 false _let_186 false _let_53 false _let_187 false _let_124 false _let_108)) _let_419 :args ((or _let_367 _let_366 _let_157 _let_153) false _let_365 false _let_84 false _let_79 false _let_363 false _let_67 false _let_187 false _let_186 false _let_65 false _let_62 false _let_173 false _let_361 true _let_356 false _let_358 false _let_365 false _let_84 false _let_79 false _let_363 false _let_67 false _let_187 false _let_186 false _let_65 false _let_62 false _let_173 false _let_361 false _let_161 false _let_160 false _let_360 false _let_354 false _let_227 false _let_349 true _let_105 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_277)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_279 _let_282 _let_285 _let_291 _let_294 _let_302 _let_304 _let_309 _let_310 _let_314 _let_317 _let_322 _let_324 _let_328 _let_334 _let_336 _let_341 _let_344) (SCOPE (TRANS _let_346 _let_343 (CONG (TRANS _let_342 _let_340) _let_306 :args _let_278) (CONG _let_339 _let_306 :args _let_278) _let_319 _let_307 _let_303 _let_296 _let_293 (CONG _let_339 (SYMM _let_320) :args _let_278) (CONG _let_321 _let_320 :args _let_278) _let_316 (CONG _let_306 (TRANS (CONG _let_313 _let_312 :args _let_278) _let_311) :args _let_278) (SYMM _let_309) (CONG (REFL :args (_let_175)) _let_305 :args _let_278) (CONG _let_308 _let_281 :args _let_278) _let_301 _let_299) :args (_let_187 _let_173 _let_152 _let_186 _let_156 _let_108 _let_170 _let_234 _let_204 _let_194 _let_177 _let_209 _let_210 _let_200 _let_167 _let_193 _let_60 _let_66))) :args (_let_108 _let_170 _let_167 _let_156 _let_152 _let_60 _let_193 _let_173 _let_177 _let_186 _let_187 _let_66 _let_194 _let_234 _let_200 _let_204 _let_209 _let_210))) :args (true _let_277)) :args ((or _let_106 _let_276 _let_171 _let_168 _let_157 _let_153 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 (not _let_234) _let_267 _let_266 _let_265 _let_264))) _let_263 _let_262 _let_260 _let_259 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c6 _let_169 _let_169 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_234 false _let_53)) _let_258 _let_129 _let_256 _let_254 _let_252 _let_250 _let_248 _let_115 _let_246 _let_245 _let_243 _let_239 _let_235 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_161))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_160))) (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_157 _let_153) false _let_210 false _let_209 false _let_204 false _let_200 false _let_234 false _let_194 false _let_66 false _let_187 false _let_186 false _let_177 false _let_173 false _let_193 false _let_60 false _let_167 false _let_170 true _let_172 true _let_165 true _let_164 false _let_161 false _let_160 false _let_108)) _let_233 _let_229 :args (_let_158 true _let_227 true _let_226 true _let_225 true _let_222 false _let_219 false _let_210 false _let_218 false _let_209 false _let_208 false _let_217 false _let_207 false _let_206 false _let_204 false _let_202 false _let_200 false _let_191 false _let_197 false _let_196 false _let_216 false _let_194 false _let_187 false _let_186 false _let_184 false _let_181 false _let_174 false _let_173 false _let_193 false _let_214 false _let_210 false _let_209 false _let_208 false _let_207 false _let_206 false _let_204 false _let_202 false _let_200 false _let_191 false _let_197 false _let_196 false _let_190 false _let_194 false _let_187 false _let_186 false _let_184 false _let_181 false _let_177 false _let_174 false _let_173 false _let_193 false _let_212 false _let_210 false _let_209 false _let_208 false _let_207 false _let_206 false _let_204 false _let_202 false _let_200 false _let_191 false _let_197 false _let_196 false _let_194 false _let_187 false _let_186 false _let_184 false _let_181 false _let_174 false _let_173 false _let_193 false _let_192 false _let_191 false _let_190 false _let_187 false _let_186 false _let_184 false _let_181 false _let_177 false _let_174 false _let_173 false _let_167 false _let_170 true _let_172 true _let_165 true _let_164 false _let_161 false _let_160 false _let_159 false _let_108 true _let_103 false _let_106 true _let_150 true _let_158)) :args (_let_150 false _let_158)))) (let ((_let_1199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230)) _let_1198 :args (_let_149 false _let_150)))) (let ((_let_1200 (= tptp.sk_c2 _let_33))) (let ((_let_1201 (not _let_149))) (let ((_let_1202 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_146 _let_148 _let_1201))))) (let ((_let_1203 (and _let_159 _let_1200))) (let ((_let_1204 (ASSUME :args (_let_1200)))) (let ((_let_1205 (RESOLUTION (CNF_AND_NEG :args (_let_1203)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1204 _let_1063) (SCOPE (TRANS (SYMM _let_1064) (CONG _let_281 (SYMM (SYMM _let_1204)) :args _let_278)) :args (_let_1200 _let_159))) :args (_let_159 _let_1200))) :args (true _let_1203)))) (let ((_let_1206 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1205 _let_1202 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_145))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_1200))) _let_1054 :args ((or _let_103 _let_1201) true _let_147 false _let_145 false _let_1200 false _let_159)) _let_1199 :args (_let_103 false _let_149)))) (let ((_let_1207 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1202 _let_1205 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_350 _let_145))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_350 _let_1200))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_350 _let_159))) :args ((or _let_350 _let_1201) false _let_147 false _let_145 false _let_1200 false _let_159)) _let_1199 :args (_let_350 false _let_149)))) (let ((_let_1208 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1202 _let_1205 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_352 _let_145))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_352 _let_1200))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_352 _let_159))) :args ((or _let_352 _let_1201) false _let_147 false _let_145 false _let_1200 false _let_159)) _let_1199 :args (_let_352 false _let_149)))) (let ((_let_1209 (MACRO_RESOLUTION_TRUST _let_379 (MACRO_RESOLUTION_TRUST _let_375 (MACRO_RESOLUTION_TRUST _let_371 _let_1208 _let_1207 :args (_let_370 false _let_352 false _let_350)) :args (_let_377 true _let_354)) :args (_let_376 true _let_227)))) (let ((_let_1210 (MACRO_RESOLUTION_TRUST _let_381 _let_1209 :args (_let_104 true _let_349)))) (let ((_let_1211 (MACRO_RESOLUTION_TRUST _let_382 _let_1209 :args (_let_105 true _let_349)))) (let ((_let_1212 (MACRO_RESOLUTION_TRUST _let_1202 _let_1199 _let_1205 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_145))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_1200))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_159))) :args (_let_106 false _let_149 false _let_147 false _let_145 false _let_1200 false _let_159)))) (let ((_let_1213 (MACRO_RESOLUTION_TRUST _let_1202 _let_1199 _let_1205 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_107 _let_145))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_107 _let_1200))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_107 _let_159))) :args (_let_107 false _let_149 false _let_147 false _let_145 false _let_1200 false _let_159)))) (let ((_let_1214 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (let ((_let_1215 (tptp.multiply _let_1214 tptp.sk_c8))) (let ((_let_1216 (tptp.multiply _let_1214 _let_68))) (let ((_let_1217 (= _let_1216 (tptp.multiply _let_1215 _let_61)))) (let ((_let_1218 (tptp.multiply tptp.sk_c6 _let_68))) (let ((_let_1219 (= _let_1218 (tptp.multiply _let_47 _let_61)))) (let ((_let_1220 (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 _let_68)) (tptp.multiply _let_61 _let_68)))) (let ((_let_1221 (tptp.multiply tptp.sk_c8 tptp.sk_c4))) (let ((_let_1222 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1223 (= (tptp.multiply tptp.sk_c8 _let_1222) (tptp.multiply _let_1221 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_1224 (tptp.multiply tptp.sk_c6 _let_7))) (let ((_let_1225 (tptp.multiply _let_1224 tptp.sk_c5))) (let ((_let_1226 (tptp.multiply _let_1225 _let_71))) (let ((_let_1227 (= _let_1226 (tptp.multiply (tptp.multiply _let_1225 tptp.sk_c8) tptp.sk_c5)))) (let ((_let_1228 (tptp.multiply tptp.sk_c4 tptp.sk_c4))) (let ((_let_1229 (tptp.multiply tptp.sk_c8 _let_1228))) (let ((_let_1230 (tptp.multiply _let_1229 tptp.sk_c8))) (let ((_let_1231 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_1229) tptp.sk_c8) (tptp.multiply tptp.sk_c8 _let_1230)))) (let ((_let_1232 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_87))) (let ((_let_1233 (tptp.multiply _let_1232 tptp.sk_c8))) (let ((_let_1234 (tptp.inverse _let_465))) (let ((_let_1235 (= (tptp.multiply (tptp.multiply _let_1234 _let_1232) tptp.sk_c8) (tptp.multiply _let_1234 _let_1233)))) (let ((_let_1236 (= _let_1229 (tptp.multiply _let_1221 tptp.sk_c4)))) (let ((_let_1237 (= (tptp.multiply tptp.sk_c6 _let_1222) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_1238 (= _let_80 (tptp.multiply _let_61 tptp.sk_c5)))) (let ((_let_1239 (tptp.multiply _let_63 _let_63))) (let ((_let_1240 (tptp.multiply _let_1239 tptp.sk_c8))) (let ((_let_1241 (tptp.multiply _let_1239 _let_71))) (let ((_let_1242 (= _let_1241 (tptp.multiply _let_1240 tptp.sk_c5)))) (let ((_let_1243 (tptp.multiply _let_1228 tptp.sk_c8))) (let ((_let_1244 (= (tptp.multiply _let_1243 _let_61) (tptp.multiply _let_1228 _let_68)))) (let ((_let_1245 (= (tptp.multiply _let_1243 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_1228 _let_100)))) (let ((_let_1246 (tptp.multiply tptp.sk_c4 _let_77))) (let ((_let_1247 (tptp.multiply _let_1246 tptp.sk_c8))) (let ((_let_1248 (= (tptp.multiply _let_1247 tptp.sk_c4) (tptp.multiply _let_1246 _let_1221)))) (let ((_let_1249 (= _let_1240 (tptp.multiply _let_63 _let_64)))) (let ((_let_1250 (tptp.multiply tptp.sk_c4 _let_87))) (let ((_let_1251 (tptp.multiply _let_1250 tptp.sk_c8))) (let ((_let_1252 (= (tptp.multiply _let_1251 tptp.sk_c4) (tptp.multiply _let_1250 _let_1221)))) (let ((_let_1253 (tptp.multiply tptp.sk_c5 _let_87))) (let ((_let_1254 (tptp.multiply _let_1253 tptp.sk_c8))) (let ((_let_1255 (= (tptp.multiply _let_1254 tptp.sk_c4) (tptp.multiply _let_1253 _let_1221)))) (let ((_let_1256 (= _let_81 (tptp.multiply tptp.sk_c5 (tptp.multiply _let_63 _let_80))))) (let ((_let_1257 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_693)))) (let ((_let_1258 (= (tptp.multiply tptp.sk_c8 _let_1243) _let_1230))) (let ((_let_1259 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_77))) (let ((_let_1260 (tptp.multiply _let_1259 tptp.sk_c8))) (let ((_let_1261 (= (tptp.multiply (tptp.multiply _let_1234 _let_1259) tptp.sk_c8) (tptp.multiply _let_1234 _let_1260)))) (let ((_let_1262 (= _let_1254 (tptp.multiply tptp.sk_c5 _let_88)))) (let ((_let_1263 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_87) tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_88)))) (let ((_let_1264 (= _let_1233 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_88)))) (let ((_let_1265 (= _let_1251 (tptp.multiply tptp.sk_c4 _let_88)))) (let ((_let_1266 (= (tptp.multiply (tptp.multiply _let_74 tptp.sk_c4) tptp.sk_c6) (tptp.multiply _let_74 _let_1214)))) (let ((_let_1267 (= _let_1226 (tptp.multiply _let_1224 (tptp.multiply tptp.sk_c5 _let_71))))) (let ((_let_1268 (= (tptp.multiply _let_433 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_432 _let_100)))) (let ((_let_1269 (= _let_1216 (tptp.multiply tptp.sk_c4 _let_1218)))) (let ((_let_1270 (= _let_1215 (tptp.multiply tptp.sk_c4 _let_47)))) (let ((_let_1271 (= (tptp.multiply (tptp.multiply _let_1228 _let_7) tptp.sk_c5) (tptp.multiply _let_1228 _let_56)))) (let ((_let_1272 (= _let_1225 (tptp.multiply tptp.sk_c6 _let_56)))) (let ((_let_1273 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_1274 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_1275 (= (tptp.multiply _let_1228 _let_63) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c4 _let_63))))) (let ((_let_1276 (= tptp.identity (tptp.multiply _let_1234 _let_465)))) (let ((_let_1277 (= _let_1241 (tptp.multiply _let_63 _let_72)))) (let ((_let_1278 (= _let_1247 (tptp.multiply tptp.sk_c4 _let_78)))) (let ((_let_1279 (= _let_1260 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_78)))) (let ((_let_1280 (= (tptp.multiply _let_75 tptp.sk_c8) (tptp.multiply _let_74 _let_61)))) (let ((_let_1281 (= tptp.identity (tptp.multiply _let_13 tptp.sk_c4)))) (let ((_let_1282 (not _let_1257))) (let ((_let_1283 (or _let_1282 _let_353))) (let ((_let_1284 (not _let_1217))) (let ((_let_1285 (not _let_1219))) (let ((_let_1286 (not _let_1220))) (let ((_let_1287 (not _let_1223))) (let ((_let_1288 (not _let_1227))) (let ((_let_1289 (not _let_1231))) (let ((_let_1290 (not _let_1235))) (let ((_let_1291 (not _let_1236))) (let ((_let_1292 (not _let_1237))) (let ((_let_1293 (not _let_1238))) (let ((_let_1294 (not _let_101))) (let ((_let_1295 (not _let_1242))) (let ((_let_1296 (not _let_1244))) (let ((_let_1297 (not _let_1245))) (let ((_let_1298 (not _let_1248))) (let ((_let_1299 (not _let_1249))) (let ((_let_1300 (not _let_1252))) (let ((_let_1301 (not _let_1255))) (let ((_let_1302 (not _let_1256))) (let ((_let_1303 (not _let_98))) (let ((_let_1304 (not _let_1258))) (let ((_let_1305 (not _let_1261))) (let ((_let_1306 (not _let_1262))) (let ((_let_1307 (not _let_1263))) (let ((_let_1308 (not _let_1264))) (let ((_let_1309 (not _let_1265))) (let ((_let_1310 (not _let_1266))) (let ((_let_1311 (not _let_1267))) (let ((_let_1312 (not _let_1268))) (let ((_let_1313 (not _let_1269))) (let ((_let_1314 (not _let_1270))) (let ((_let_1315 (not _let_1271))) (let ((_let_1316 (not _let_1272))) (let ((_let_1317 (not _let_1273))) (let ((_let_1318 (not _let_1274))) (let ((_let_1319 (not _let_1275))) (let ((_let_1320 (not _let_1276))) (let ((_let_1321 (not _let_1277))) (let ((_let_1322 (not _let_1278))) (let ((_let_1323 (not _let_1279))) (let ((_let_1324 (not _let_89))) (let ((_let_1325 (not _let_86))) (let ((_let_1326 (not _let_1280))) (let ((_let_1327 (not _let_82))) (let ((_let_1328 (not _let_73))) (let ((_let_1329 (not _let_70))) (let ((_let_1330 (not _let_1281))) (let ((_let_1331 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_let_970 (REFL :args (_let_353)) _let_999 _let_969 _let_997 _let_996 (REFL :args (_let_1330)) _let_995 _let_994 _let_965 _let_964 _let_962 _let_993 _let_961 (REFL :args (_let_1329)) (REFL :args (_let_1328)) _let_992 _let_960 _let_991 (REFL :args (_let_1327)) (REFL :args (_let_1326)) _let_959 (REFL :args (_let_1325)) (REFL :args (_let_1324)) _let_990 (REFL :args (_let_1323)) (REFL :args (_let_1322)) (REFL :args (_let_1321)) (REFL :args (_let_1320)) (REFL :args (_let_1319)) (REFL :args (_let_1318)) (REFL :args (_let_1317)) (REFL :args (_let_1316)) (REFL :args (_let_1315)) (REFL :args (_let_1314)) (REFL :args (_let_1313)) (REFL :args (_let_1312)) (REFL :args (_let_1311)) (REFL :args (_let_1310)) (REFL :args (_let_1309)) (REFL :args (_let_1308)) (REFL :args (_let_1307)) (REFL :args (_let_1306)) (REFL :args (_let_1305)) (REFL :args (_let_1304)) (REFL :args (_let_1303)) (REFL :args (_let_1302)) (REFL :args (_let_1301)) (REFL :args (_let_1300)) (REFL :args (_let_1299)) (REFL :args (_let_1298)) (REFL :args (_let_1297)) (REFL :args (_let_1296)) (REFL :args (_let_1295)) (REFL :args (_let_1294)) (REFL :args (_let_1293)) (REFL :args (_let_1292)) (REFL :args (_let_1291)) (REFL :args (_let_1290)) (REFL :args (_let_1289)) (REFL :args (_let_1288)) (REFL :args (_let_1287)) (REFL :args (_let_1286)) (REFL :args (_let_1285)) (REFL :args (_let_1284)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1282) _let_1257))) _let_998 :args _let_240)) :args ((or _let_276 _let_367 _let_353 _let_351 _let_452 _let_366 _let_348 _let_347 _let_1330 _let_852 _let_275 _let_384 _let_383 _let_270 _let_269 _let_532 _let_1329 _let_1328 _let_529 _let_528 _let_527 _let_1327 _let_1326 _let_523 _let_1325 _let_1324 _let_520 _let_1323 _let_1322 _let_1321 _let_1320 _let_1319 _let_1318 _let_1317 _let_1316 _let_1315 _let_1314 _let_1313 _let_1312 _let_1311 _let_1310 _let_1309 _let_1308 _let_1307 _let_1306 _let_1305 _let_1304 _let_1257 _let_1303 _let_1302 _let_1301 _let_1300 _let_1299 _let_1298 _let_1297 _let_1296 _let_1295 _let_1294 _let_1293 _let_1292 _let_1291 _let_1290 _let_1289 _let_1288 _let_1287 _let_1286 _let_1285 _let_1284))) _let_1212 _let_1208 _let_1207 _let_1213 _let_1206 _let_1210 _let_1211 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_1281 false _let_109)) _let_113 _let_115 _let_120 _let_123 _let_256 _let_129 _let_131 _let_132 _let_133 _let_135 _let_137 _let_750 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_74 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1280 false _let_53)) _let_140 _let_141 _let_142 _let_756 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_77 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1279 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 _let_77 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1278 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 _let_63 _let_71 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1277 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_465 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_1276 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 tptp.sk_c4 _let_63 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1275 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_1274 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_1273 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c6 _let_7 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1272 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1228 _let_7 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1271 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1270 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c4 tptp.sk_c6 _let_68 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1269 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_87 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1263 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_87 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1262 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1234 _let_1259 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1261 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 _let_1228 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1258 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1283)) :args ((or _let_353 _let_1282 (not _let_1283)))) _let_1208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230)) _let_1198 :args (_let_1283 false _let_150)) :args (_let_1282 false _let_352 false _let_1283)) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c5 _let_63 _let_80 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1256 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1253 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1255 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1250 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1252 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_63 _let_63 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1249 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1246 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1248 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1228 tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1245 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1228 tptp.sk_c8 _let_61 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_1244 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1239 tptp.sk_c8 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1242 false _let_53)) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 tptp.sk_c8 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1238 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c6 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1237 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 tptp.sk_c4 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1236 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1234 _let_1232 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1235 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 _let_1229 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_1231 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1225 tptp.sk_c8 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1227 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1223 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 tptp.sk_c8 _let_68 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1220 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c6 tptp.sk_c8 _let_61 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1219 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_1214 tptp.sk_c8 _let_61 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116))) _let_117 :args (_let_1217 false _let_53)) :args (_let_276 false _let_106 false _let_352 false _let_350 false _let_107 false _let_103 false _let_104 false _let_105 false _let_1281 false _let_57 false _let_60 false _let_62 false _let_65 false _let_187 false _let_66 false _let_67 false _let_70 false _let_73 false _let_76 false _let_79 false _let_429 false _let_82 false _let_1280 false _let_84 false _let_86 false _let_89 false _let_434 false _let_1279 false _let_1278 false _let_1277 false _let_1276 false _let_1275 false _let_1274 false _let_1273 false _let_1272 false _let_1271 false _let_1270 false _let_1269 false _let_1268 false _let_1267 false _let_1266 false _let_1265 false _let_1264 false _let_1263 false _let_1262 false _let_1261 false _let_1258 true _let_1257 false _let_98 false _let_1256 false _let_1255 false _let_1252 false _let_1249 false _let_1248 false _let_1245 false _let_1244 false _let_1242 false _let_101 false _let_1238 false _let_1237 false _let_1236 false _let_1235 false _let_1231 false _let_1227 false _let_1223 false _let_1220 false _let_1219 false _let_1217)) _let_1213 _let_1212 _let_1211 _let_1210 _let_1206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_77 tptp.sk_c8 _let_94 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_116)) _let_117 :args (_let_102 false _let_53)) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 tptp.sk_c5 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_99 false _let_53)) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_81 _let_77 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_97 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk_c8 _let_71 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_96 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_87 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_93 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_77 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_92 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_77 _let_80 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_118)) :args _let_116)) _let_117 :args (_let_91 false _let_53)) _let_142 _let_141 _let_140 _let_138 _let_137 _let_135 _let_133 _let_132 _let_131 _let_129 _let_123 _let_120 _let_115 _let_113 :args (false true _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_102 false _let_101 false _let_99 false _let_98 false _let_97 false _let_96 false _let_93 false _let_92 false _let_91 false _let_89 false _let_86 false _let_84 false _let_82 false _let_79 false _let_76 false _let_73 false _let_70 false _let_67 false _let_66 false _let_65 false _let_62 false _let_60 false _let_57)) :args (_let_55 _let_54 _let_53 _let_52 _let_51 _let_50 (or _let_48 _let_8) _let_49 _let_46 _let_45 _let_44 _let_43 _let_42 _let_39 _let_38 _let_37 _let_36 _let_35 _let_32 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.91/3.15  )
% 2.98/3.16  % SZS output end Proof for GRP367-1
% 2.98/3.16  % cvc5---1.0.5 exiting
% 3.01/3.16  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------