TSTP Solution File: GRP329-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 00:25:39 EDT 2023

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Proof 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.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   : Mon Aug 28 19:32:05 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.s8DFJhgdbs/cvc5---1.0.5_25837.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP329-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25837.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.77  % SZS status Unsatisfiable for GRP329-1
% 0.59/0.77  % SZS output start Proof for GRP329-1
% 0.59/0.79  (
% 0.59/0.79  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c9)))))) (let ((_let_2 (tptp.inverse tptp.sk_c6))) (let ((_let_3 (= _let_2 tptp.sk_c9))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c9))) (let ((_let_6 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (let ((_let_7 (= _let_6 tptp.sk_c7))) (let ((_let_8 (tptp.inverse tptp.sk_c5))) (let ((_let_9 (= _let_8 tptp.sk_c8))) (let ((_let_10 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_11 (= _let_10 tptp.sk_c9))) (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_c4 tptp.sk_c8))) (let ((_let_17 (= _let_16 tptp.sk_c7))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.inverse tptp.sk_c8))) (let ((_let_20 (= _let_19 tptp.sk_c7))) (let ((_let_21 (or _let_5 _let_20))) (let ((_let_22 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (let ((_let_23 (= _let_22 tptp.sk_c3))) (let ((_let_24 (or _let_23 _let_11))) (let ((_let_25 (or _let_23 _let_14))) (let ((_let_26 (or _let_23 _let_17))) (let ((_let_27 (or _let_23 _let_20))) (let ((_let_28 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (let ((_let_29 (= _let_28 tptp.sk_c8))) (let ((_let_30 (or _let_29 _let_11))) (let ((_let_31 (or _let_29 _let_14))) (let ((_let_32 (or _let_29 _let_17))) (let ((_let_33 (or _let_29 _let_20))) (let ((_let_34 (tptp.inverse tptp.sk_c1))) (let ((_let_35 (= _let_34 tptp.sk_c8))) (let ((_let_36 (or _let_35 _let_9))) (let ((_let_37 (or _let_35 _let_11))) (let ((_let_38 (or _let_35 _let_20))) (let ((_let_39 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_40 (= _let_39 tptp.sk_c9))) (let ((_let_41 (or _let_40 _let_9))) (let ((_let_42 (or _let_40 _let_11))) (let ((_let_43 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (let ((_let_44 (= _let_43 tptp.sk_c7))) (let ((_let_45 (or _let_44 _let_3))) (let ((_let_46 (or _let_44 _let_7))) (let ((_let_47 (or _let_44 _let_11))) (let ((_let_48 (or _let_44 _let_14))) (let ((_let_49 (or _let_44 _let_20))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_51 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_52 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_53 (tptp.multiply _let_19 tptp.sk_c8))) (let ((_let_54 (= tptp.identity _let_53))) (let ((_let_55 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c6)))) (let ((_let_56 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (= tptp.identity (tptp.multiply _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_58 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8))) (let ((_let_59 (tptp.multiply tptp.sk_c8 _let_58))) (let ((_let_60 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (= (tptp.multiply _let_60 tptp.sk_c8) _let_59))) (let ((_let_62 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_63 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_64 (tptp.multiply _let_58 _let_58))) (let ((_let_65 (= _let_64 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_59)))) (let ((_let_66 (= (tptp.multiply _let_53 _let_58) (tptp.multiply _let_19 _let_59)))) (let ((_let_67 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_68 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (let ((_let_69 (= (tptp.multiply _let_6 tptp.sk_c8) (tptp.multiply tptp.sk_c6 _let_68)))) (let ((_let_70 (= tptp.sk_c7 _let_43))) (let ((_let_71 (= tptp.sk_c7 _let_19))) (let ((_let_72 (= tptp.sk_c8 _let_13))) (let ((_let_73 (= tptp.sk_c7 _let_6))) (let ((_let_74 (= tptp.sk_c9 _let_2))) (let ((_let_75 (= tptp.sk_c9 _let_58))) (let ((_let_76 (= tptp.sk_c8 _let_56))) (let ((_let_77 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.inverse X)))) (let ((_let_81 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST _let_81 _let_78 :args (_let_54 false _let_77)))) (let ((_let_83 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST _let_83 _let_78 :args (_let_57 false _let_77)))) (let ((_let_85 (_let_50))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_88 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_88 _let_86 :args (_let_61 false _let_50)))) (let ((_let_90 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((tptp.multiply tptp.identity X)))) (let ((_let_94 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST _let_94 _let_91 :args (_let_62 false _let_90)))) (let ((_let_96 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST _let_96 _let_91 :args (_let_63 false _let_90)))) (let ((_let_98 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 _let_58 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST _let_98 _let_86 :args (_let_65 false _let_50)))) (let ((_let_100 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_19 tptp.sk_c8 _let_58 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST _let_100 _let_86 :args (_let_66 false _let_50)))) (let ((_let_102 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_103 (= tptp.sk_c9 _let_10))) (let ((_let_104 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))) (let ((_let_105 (not _let_76))) (let ((_let_106 (not _let_75))) (let ((_let_107 (or _let_106 _let_105))) (let ((_let_108 (= tptp.sk_c8 _let_34))) (let ((_let_109 (= tptp.sk_c8 _let_28))) (let ((_let_110 (= tptp.sk_c3 _let_22))) (let ((_let_111 (= tptp.sk_c9 _let_4))) (let ((_let_112 (= tptp.identity (tptp.multiply _let_34 tptp.sk_c1)))) (let ((_let_113 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_114 (= (tptp.multiply _let_60 _let_28) (tptp.multiply tptp.sk_c8 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))))) (let ((_let_115 (= (tptp.multiply (tptp.multiply _let_58 tptp.sk_c2) tptp.sk_c9) (tptp.multiply _let_58 _let_22)))) (let ((_let_116 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_117 (not _let_70))) (let ((_let_118 (= tptp.sk_c9 _let_39))) (let ((_let_119 (not _let_108))) (let ((_let_120 (not _let_118))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) (let ((_let_123 (= tptp.sk_c9 _let_34))) (let ((_let_124 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) (let ((_let_125 (= tptp.sk_c7 _let_124))) (let ((_let_126 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) (let ((_let_127 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 _let_43)))) (let ((_let_128 (= tptp.sk_c9 _let_19))) (let ((_let_129 (= tptp.sk_c8 _let_19))) (let ((_let_130 (not _let_123))) (let ((_let_131 (not _let_126))) (let ((_let_132 (or _let_131 _let_130))) (let ((_let_133 (not _let_129))) (let ((_let_134 (not _let_125))) (let ((_let_135 (or _let_134 _let_133))) (let ((_let_136 (not _let_128))) (let ((_let_137 (not _let_127))) (let ((_let_138 (or _let_137 _let_136))) (let ((_let_139 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X3))))))) (let ((_let_140 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) (let ((_let_141 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) (let ((_let_142 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_119 (not _let_121)))))) (let ((_let_143 (_let_104))) (let ((_let_144 ((tptp.multiply X4 tptp.sk_c8)))) (let ((_let_145 (ASSUME :args _let_143))) (let ((_let_146 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)))) (let ((_let_147 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_104 (= X4 X2)))))) (let ((_let_148 (or))) (let ((_let_149 (not _let_107))) (let ((_let_150 (not _let_104))) (let ((_let_151 (_let_150))) (let ((_let_152 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_151)) :args _let_151)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_150) _let_104))) (REFL :args (_let_149)) :args _let_148)))) (let ((_let_153 (REFL :args (_let_107)))) (let ((_let_154 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 0)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_75))) :args _let_148)) :args ((or _let_75 _let_107))))) (let ((_let_155 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 1)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_76))) :args _let_148)) :args ((or _let_76 _let_107))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_113 false _let_77)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_58 tptp.sk_c2 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_115 false _let_50)))) (let ((_let_158 (and _let_108 _let_109 _let_110 _let_111 _let_75 _let_113 _let_63 _let_115))) (let ((_let_159 (ASSUME :args (_let_108)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (ASSUME :args (_let_109)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (APPLY_UF tptp.multiply))) (let ((_let_165 (REFL :args (tptp.sk_c3)))) (let ((_let_166 (ASSUME :args (_let_75)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (CONG _let_167 _let_165 :args _let_164))) (let ((_let_169 (ASSUME :args (_let_110)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (REFL :args (_let_58)))) (let ((_let_172 (CONG _let_171 _let_170 :args _let_164))) (let ((_let_173 (ASSUME :args (_let_115)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (REFL :args (tptp.sk_c9)))) (let ((_let_177 (REFL :args (tptp.sk_c2)))) (let ((_let_178 (ASSUME :args (_let_111)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_113)))) (let ((_let_181 (SYMM (SYMM _let_180)))) (let ((_let_182 (CONG (TRANS _let_181 (CONG (TRANS _let_179 _let_166) _let_177 :args _let_164)) _let_176 :args _let_164))) (let ((_let_183 (ASSUME :args (_let_63)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (MODUS_PONENS (AND_INTRO _let_159 _let_162 _let_166 _let_169 _let_173 _let_178 _let_180 _let_183) (SCOPE (TRANS _let_185 _let_182 _let_175 _let_172 _let_168 _let_163 _let_161) :args (_let_108 _let_109 _let_75 _let_110 _let_115 _let_111 _let_113 _let_63))))) (let ((_let_187 (and _let_70 _let_109 _let_110 _let_111 _let_75 _let_113 _let_63 _let_115))) (let ((_let_188 (REFL :args (tptp.sk_c8)))) (let ((_let_189 (CONG _let_188 (TRANS _let_185 _let_182 _let_175 _let_172 _let_168 _let_163) :args _let_164))) (let ((_let_190 (ASSUME :args (_let_70)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (MODUS_PONENS (AND_INTRO _let_162 _let_166 _let_169 _let_173 _let_178 _let_180 _let_183 _let_190) (SCOPE (TRANS _let_192 _let_189) :args (_let_109 _let_75 _let_110 _let_115 _let_111 _let_113 _let_63 _let_70))))) (let ((_let_194 (RESOLUTION (CNF_AND_NEG :args (_let_187)) (IMPLIES_ELIM (SCOPE _let_193 :args (_let_70 _let_109 _let_110 _let_111 _let_75 _let_113 _let_63 _let_115))) :args (true _let_187)))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)) _let_86 :args (_let_114 false _let_50)))) (let ((_let_196 (and _let_70 _let_118 _let_109 _let_110 _let_111 _let_75 _let_76 _let_113 _let_57 _let_63 _let_114 _let_115))) (let ((_let_197 (SYMM _let_185))) (let ((_let_198 (CONG (TRANS (CONG (TRANS _let_167 (SYMM _let_179)) _let_177 :args _let_164) (SYMM _let_181)) _let_176 :args _let_164))) (let ((_let_199 (SYMM _let_175))) (let ((_let_200 (CONG _let_171 (SYMM _let_170) :args _let_164))) (let ((_let_201 (CONG _let_166 _let_165 :args _let_164))) (let ((_let_202 (SYMM _let_163))) (let ((_let_203 (REFL :args (tptp.sk_c1)))) (let ((_let_204 (ASSUME :args (_let_118)))) (let ((_let_205 (ASSUME :args (_let_57)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_209 (ASSUME :args (_let_76)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (CONG _let_211 _let_208 :args _let_164))) (let ((_let_213 (ASSUME :args (_let_114)))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (and _let_108 _let_109 _let_110 _let_111 _let_75 _let_76 _let_113 _let_57 _let_61 _let_63 _let_114 _let_65 _let_115))) (let ((_let_217 (CONG _let_188 (TRANS (CONG _let_208 _let_163 :args _let_164) _let_167) :args _let_164))) (let ((_let_218 (REFL :args (_let_60)))) (let ((_let_219 (CONG _let_218 _let_162 :args _let_164))) (let ((_let_220 (ASSUME :args (_let_61)))) (let ((_let_221 (SYMM _let_220))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_116 false _let_90)))) (let ((_let_236 (not _let_116))) (let ((_let_237 (not _let_115))) (let ((_let_238 (not _let_66))) (let ((_let_239 (not _let_63))) (let ((_let_240 (not _let_61))) (let ((_let_241 (not _let_57))) (let ((_let_242 (not _let_113))) (let ((_let_243 (not _let_112))) (let ((_let_244 (not _let_54))) (let ((_let_245 (not _let_111))) (let ((_let_246 (not _let_110))) (let ((_let_247 (not _let_109))) (let ((_let_248 (and _let_108 _let_109 _let_110 _let_111 _let_75 _let_76 _let_54 _let_112 _let_113 _let_57 _let_61 _let_63 _let_66 _let_115 _let_116))) (let ((_let_249 (true _let_248))) (let ((_let_250 (_let_108 _let_109 _let_110 _let_111 _let_75 _let_76 _let_54 _let_112 _let_113 _let_57 _let_61 _let_63 _let_66 _let_115 _let_116))) (let ((_let_251 (APPLY_UF tptp.inverse))) (let ((_let_252 (ASSUME :args (_let_54)))) (let ((_let_253 (SYMM _let_252))) (let ((_let_254 (CONG _let_253 _let_167 :args _let_164))) (let ((_let_255 (ASSUME :args (_let_66)))) (let ((_let_256 (SYMM _let_255))) (let ((_let_257 (CONG _let_232 (TRANS _let_185 _let_182 _let_175 _let_172 _let_168) :args _let_164))) (let ((_let_258 (REFL :args (_let_19)))) (let ((_let_259 (CONG _let_258 (TRANS _let_162 (SYMM _let_168) (SYMM _let_172) _let_174 (SYMM _let_182) _let_257 (CONG _let_218 _let_163 :args _let_164) _let_222) :args _let_164))) (let ((_let_260 (ASSUME :args (_let_112)))) (let ((_let_261 (ASSUME :args (_let_116)))) (let ((_let_262 (MODUS_PONENS (AND_INTRO _let_162 _let_166 _let_169 _let_173 _let_178 _let_180 _let_252 _let_255 _let_220 _let_159 _let_183 _let_209 _let_205 _let_260 _let_261) (SCOPE (TRANS _let_185 _let_182 _let_175 _let_172 _let_168 _let_163 _let_159 (CONG (TRANS (SYMM (SYMM _let_261)) (CONG (TRANS (TRANS _let_252 _let_259 _let_256 _let_254 _let_184) (TRANS _let_185 _let_182 _let_175 _let_172 _let_168 _let_163 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(INSTANTIATE (ASSUME :args _let_276) :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X1 tptp.sk_c8)))) :args _let_276)))) (let ((_let_278 (_let_141))) (let ((_let_279 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_278) :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X6)))) :args _let_278)))) (let ((_let_280 (not _let_71))) (let ((_let_281 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_117 _let_280 _let_104 _let_140 _let_122 _let_139 _let_141))))) (let ((_let_282 (MACRO_RESOLUTION_TRUST _let_281 _let_279 _let_277 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_274)) :args _let_273)) _let_272 _let_271 (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_131 _let_130 (not _let_132)))) _let_270 _let_235 _let_157 _let_101 _let_195 _let_97 _let_89 _let_84 _let_156 _let_234 _let_82 (REORDERING (RESOLUTION _let_263 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_262 _let_186 _let_159) (SCOPE (TRANS _let_161 (SYMM (ASSUME :args (_let_123))) _let_264) :args (_let_128 _let_123 _let_108))) :args _let_250)) :args _let_249) :args ((or _let_119 _let_247 _let_246 _let_245 _let_106 _let_105 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_129 _let_238 _let_237 _let_236))) _let_235 _let_157 _let_101 _let_97 _let_89 _let_84 _let_156 _let_234 _let_82 (REORDERING (RESOLUTION _let_263 (IMPLIES_ELIM (SCOPE _let_262 :args _let_250)) :args _let_249) :args ((or _let_119 _let_247 _let_246 _let_245 _let_106 _let_105 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_128 _let_236))) _let_235 _let_157 _let_101 _let_97 _let_89 _let_84 _let_156 _let_234 _let_82 (RESOLUTION (CNF_AND_NEG :args (_let_216)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_183 _let_180 _let_178 _let_166 _let_173 _let_169 _let_162 _let_159 _let_213 _let_220 _let_228 _let_209 _let_205) (SCOPE (TRANS 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((or _let_103 _let_111))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_110))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_109))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_108))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_118))) :args ((or _let_103 _let_117) true _let_141 true _let_140 true _let_139 true _let_138 true _let_135 true _let_132 false _let_71 false _let_116 false _let_115 false _let_66 false _let_114 false _let_63 false _let_61 false _let_57 false _let_113 false _let_112 false _let_54 false _let_129 false _let_116 false _let_115 false _let_66 false _let_63 false _let_61 false _let_57 false _let_113 false _let_112 false _let_54 false _let_128 false _let_116 false _let_115 false _let_66 false _let_63 false _let_61 false _let_57 false _let_113 false _let_112 false _let_54 false _let_127 false _let_115 false _let_65 false _let_114 false _let_63 false _let_61 false _let_57 false _let_113 false _let_126 false _let_115 false _let_114 false _let_63 false _let_57 false _let_113 false _let_125 false _let_115 false _let_63 false _let_113 false _let_123 false _let_115 false _let_63 false _let_113 false _let_76 false _let_75 true _let_107 true _let_122 true _let_104 true _let_121 false _let_111 false _let_110 false _let_109 false _let_108 false _let_118)))) (let ((_let_283 (= tptp.sk_c8 _let_8))) (let ((_let_284 (not _let_283))) (let ((_let_285 (not _let_103))) (let ((_let_286 (or _let_285 _let_284))) (let ((_let_287 (MACRO_RESOLUTION_TRUST _let_142 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_283 _let_108))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_283 _let_118))) (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_285 _let_284 (not _let_286)))) _let_146 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) :args ((or _let_285 _let_150) false _let_108 false _let_118 true _let_283 false _let_121 false _let_286)))) (let ((_let_288 (or _let_117 _let_136))) (let ((_let_289 (= tptp.sk_c7 _let_16))) (let ((_let_290 (tptp.multiply _let_13 tptp.sk_c4))) (let ((_let_291 (= tptp.identity _let_290))) (let ((_let_292 (= (tptp.multiply _let_59 _let_58) (tptp.multiply tptp.sk_c8 _let_64)))) (let ((_let_293 (tptp.multiply _let_58 tptp.sk_c4))) (let ((_let_294 (tptp.multiply tptp.sk_c8 _let_293))) (let ((_let_295 (= (tptp.multiply _let_59 tptp.sk_c4) _let_294))) (let ((_let_296 (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c5) tptp.sk_c8))) (let ((_let_297 (= _let_296 (tptp.multiply tptp.sk_c5 _let_10)))) (let ((_let_298 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_299 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_300 (= (tptp.multiply _let_53 _let_293) (tptp.multiply _let_19 _let_294)))) (let ((_let_301 (tptp.multiply tptp.sk_c5 _let_294))) (let ((_let_302 (= (tptp.multiply _let_10 _let_293) _let_301))) (let ((_let_303 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c5) _let_294) (tptp.multiply tptp.sk_c9 _let_301)))) (let ((_let_304 (not _let_266))) (let ((_let_305 (or _let_304 _let_133))) (let ((_let_306 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_307 (= tptp.sk_c9 _let_306))) (let ((_let_308 (not _let_307))) (let ((_let_309 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9))) (let ((_let_310 (= tptp.sk_c7 _let_309))) (let ((_let_311 (not _let_310))) (let ((_let_312 (or _let_311 _let_308))) (let ((_let_313 (= tptp.identity (tptp.multiply _let_306 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_314 (= (tptp.multiply _let_309 tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68)))) (let ((_let_315 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_316 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c8 _let_58 _let_58 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)))) (let ((_let_317 (not _let_65))) (let ((_let_318 (not _let_292))) (let ((_let_319 (not _let_62))) (let ((_let_320 (and _let_70 _let_71 _let_75 _let_76 _let_57 _let_61 _let_62 _let_292 _let_65))) (let ((_let_321 (ASSUME :args (_let_71)))) (let ((_let_322 (SYMM _let_321))) (let ((_let_323 (SYMM _let_322))) (let ((_let_324 (SYMM _let_192))) (let ((_let_325 (SYMM _let_167))) (let ((_let_326 (SYMM _let_325))) (let ((_let_327 (ASSUME :args (_let_62)))) (let ((_let_328 (SYMM _let_327))) (let ((_let_329 (CONG (TRANS _let_212 _let_206) _let_188 :args _let_164))) (let ((_let_330 (TRANS _let_221 _let_329 _let_328))) (let ((_let_331 (SYMM _let_229))) (let ((_let_332 (CONG _let_188 (TRANS _let_331 (CONG _let_208 _let_330 :args _let_164) _let_326) :args _let_164))) (let ((_let_333 (ASSUME :args (_let_292)))) (let ((_let_334 (SYMM _let_333))) (let ((_let_335 (SYMM _let_334))) (let ((_let_336 (SYMM _let_330))) (let ((_let_337 (CONG _let_336 _let_171 :args _let_164))) (let ((_let_338 (SYMM _let_329))) (let ((_let_339 (MODUS_PONENS (AND_INTRO _let_321 _let_190 _let_166 _let_327 _let_205 _let_209 _let_220 _let_228 _let_333) (SCOPE (TRANS _let_327 _let_338 _let_220 _let_337 _let_335 _let_332 _let_324 _let_323) :args (_let_71 _let_70 _let_75 _let_62 _let_57 _let_76 _let_61 _let_65 _let_292))))) (let ((_let_340 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_320)) (IMPLIES_ELIM (SCOPE _let_339 :args (_let_70 _let_71 _let_75 _let_76 _let_57 _let_61 _let_62 _let_292 _let_65))) :args (true _let_320)) :args ((or _let_117 _let_280 _let_106 _let_105 _let_241 _let_240 _let_319 _let_129 _let_318 _let_317))))) (let ((_let_341 (and _let_70 _let_71 _let_75 _let_76 _let_54 _let_57 _let_61 _let_62 _let_63 _let_292 _let_65 _let_66))) (let ((_let_342 (CONG _let_330 _let_171 :args _let_164))) (let ((_let_343 (CONG _let_208 _let_336 :args _let_164))) (let ((_let_344 (CONG _let_188 (TRANS _let_325 _let_343 _let_229) :args _let_164))) (let ((_let_345 (TRANS _let_322 _let_192 _let_344 _let_334 _let_342 _let_221 _let_329 _let_328))) (let ((_let_346 (SYMM _let_256))) (let ((_let_347 (SYMM _let_253))) (let ((_let_348 (CONG _let_347 _let_325 :args _let_164))) (let ((_let_349 (MODUS_PONENS (AND_INTRO _let_327 _let_205 _let_209 _let_220 _let_333 _let_228 _let_166 _let_190 _let_321 _let_255 _let_252 _let_183) (SCOPE (TRANS _let_185 _let_348 _let_346 (CONG _let_345 _let_330 :args _let_164)) :args (_let_62 _let_57 _let_76 _let_61 _let_292 _let_65 _let_75 _let_70 _let_71 _let_66 _let_54 _let_63))))) (let ((_let_350 (and _let_75 _let_76 _let_54 _let_57 _let_61 _let_62 _let_63 _let_292 _let_65 _let_66))) (let ((_let_351 (SYMM _let_347))) (let ((_let_352 (CONG _let_351 _let_326 :args _let_164))) (let ((_let_353 (SYMM _let_346))) (let ((_let_354 (CONG _let_258 _let_336 :args _let_164))) (let ((_let_355 (not _let_139))) (let ((_let_356 (_let_355))) (let ((_let_357 (REFL :args (_let_312)))) (let ((_let_358 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_313 false _let_77)))) (let ((_let_359 (MACRO_RESOLUTION_TRUST _let_316 _let_86 :args (_let_292 false _let_50)))) (let ((_let_360 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)) _let_86 :args (_let_314 false _let_50)))) (let ((_let_361 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_315 false _let_90)))) (let ((_let_362 (and _let_70 _let_71 _let_310 _let_307 _let_75 _let_76 _let_54 _let_313 _let_57 _let_61 _let_62 _let_63 _let_292 _let_314 _let_65 _let_66 _let_315))) (let ((_let_363 (true _let_362))) (let ((_let_364 (_let_70 _let_71 _let_310 _let_307 _let_75 _let_76 _let_54 _let_313 _let_57 _let_61 _let_62 _let_63 _let_292 _let_314 _let_65 _let_66 _let_315))) (let ((_let_365 (= tptp.sk_c8 _let_306))) (let ((_let_366 (SYMM (ASSUME :args (_let_129))))) (let ((_let_367 (SYMM (SYMM (ASSUME :args (_let_365)))))) (let ((_let_368 (ASSUME :args (_let_307)))) (let ((_let_369 (SYMM _let_368))) (let ((_let_370 (SYMM _let_369))) (let ((_let_371 (CONG (SYMM _let_211) _let_208 :args _let_164))) (let ((_let_372 (TRANS _let_207 _let_371))) (let ((_let_373 (CONG _let_372 _let_188 :args _let_164))) (let ((_let_374 (SYMM _let_328))) (let ((_let_375 (TRANS _let_374 _let_373 _let_222))) (let ((_let_376 (SYMM _let_375))) (let ((_let_377 (CONG _let_188 (TRANS _let_331 (CONG _let_208 _let_376 :args _let_164) _let_326) :args _let_164))) (let ((_let_378 (CONG _let_375 _let_171 :args _let_164))) (let ((_let_379 (TRANS _let_374 _let_373 _let_222 _let_378 _let_335 _let_377 _let_324 _let_323))) (let ((_let_380 (ASSUME :args (_let_310)))) (let ((_let_381 (ASSUME :args (_let_314)))) (let ((_let_382 (ASSUME :args (_let_315)))) (let ((_let_383 (SYMM _let_382))) (let ((_let_384 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_385 (CONG (SYMM _let_372) _let_384 :args _let_164))) (let ((_let_386 (TRANS _let_385 _let_383))) (let ((_let_387 (CONG _let_258 _let_375 :args _let_164))) (let ((_let_388 (TRANS _let_347 _let_387 _let_353 _let_352 _let_197))) (let ((_let_389 (CONG _let_388 _let_188 :args _let_164))) (let ((_let_390 (SYMM _let_388))) (let ((_let_391 (ASSUME :args (_let_313)))) (let ((_let_392 (MODUS_PONENS (AND_INTRO _let_368 _let_183 _let_252 _let_166 _let_255 _let_321 _let_190 _let_327 _let_205 _let_209 _let_220 _let_228 _let_333 _let_380 _let_381 _let_382 _let_391) (SCOPE (TRANS _let_374 _let_389 (CONG (TRANS _let_390 (TRANS (SYMM (SYMM _let_391)) (CONG _let_369 _let_384 :args _let_164) (CONG (TRANS _let_390 _let_372) _let_384 :args _let_164) _let_385 _let_383) (SYMM _let_386)) (TRANS _let_374 _let_389) :args _let_164) (CONG _let_386 (REFL :args (_let_68)) :args _let_164) (SYMM _let_381) (CONG (TRANS (SYMM _let_380) _let_192 (SYMM _let_377) _let_334 (SYMM _let_378) _let_221 (SYMM _let_373) _let_328) _let_188 :args _let_164) (CONG _let_379 _let_375 :args _let_164) _let_353 _let_352 _let_197 _let_370) :args (_let_307 _let_63 _let_54 _let_75 _let_66 _let_71 _let_70 _let_62 _let_57 _let_76 _let_61 _let_65 _let_292 _let_310 _let_314 _let_315 _let_313))))) (let ((_let_393 (CNF_AND_NEG :args (_let_362)))) (let ((_let_394 (MACRO_RESOLUTION_TRUST _let_281 _let_277 _let_279 _let_271 _let_272 (RESOLUTION _let_393 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_let_312))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_356)) :args _let_356)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_355) _let_139))) (REFL :args ((not _let_312))) :args _let_148)) (RESOLUTION (CNF_AND_NEG :args (_let_350)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_166 _let_327 _let_205 _let_209 _let_220 _let_228 _let_333 _let_183 _let_252 _let_255) (SCOPE (TRANS _let_327 (CONG (TRANS _let_347 _let_354 _let_353 _let_352 _let_197) _let_188 :args _let_164) (CONG _let_176 (TRANS _let_327 _let_338 _let_220 _let_337 _let_335 _let_332) :args _let_164)) :args (_let_75 _let_62 _let_57 _let_76 _let_61 _let_65 _let_292 _let_63 _let_54 _let_66))) :args (_let_75 _let_76 _let_54 _let_57 _let_61 _let_62 _let_63 _let_292 _let_65 _let_66))) :args (true _let_350)) _let_147 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_304 _let_133 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_let_104 true _let_305 false _let_266 false _let_54 false _let_63 false _let_66 false _let_129 false _let_57 false _let_77 false _let_61 false _let_62 false _let_90 false _let_292 false _let_65 false _let_50)))) (let ((_let_395 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_274)) :args _let_273)))) (let ((_let_396 (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_117 _let_136 (not _let_288)))))) (let ((_let_397 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8))) (let ((_let_398 (= tptp.sk_c7 _let_397))) (let ((_let_399 (not _let_398))) (let ((_let_400 (or _let_399 (not (= tptp.sk_c8 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_401 (tptp.multiply tptp.sk_c4 _let_294))) (let ((_let_402 (= (tptp.multiply _let_16 _let_293) _let_401))) (let ((_let_403 (= (tptp.multiply _let_397 _let_293) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_294)))) (let ((_let_404 (= (tptp.multiply _let_290 _let_294) (tptp.multiply _let_13 _let_401)))) (let ((_let_405 (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_128))))) (let ((_let_406 (REFL :args (_let_238)))) (let ((_let_407 (REFL :args (_let_317)))) (let ((_let_408 (REFL :args (_let_318)))) (let ((_let_409 (REFL :args (_let_239)))) (let ((_let_410 (REFL :args (_let_319)))) (let ((_let_411 (REFL :args (_let_240)))) (let ((_let_412 (REFL :args (_let_241)))) (let ((_let_413 (REFL :args (_let_244)))) (let ((_let_414 (REFL :args (_let_399)))) (let ((_let_415 (REFL :args (_let_105)))) (let ((_let_416 (REFL :args (_let_106)))) (let ((_let_417 (REFL :args (_let_280)))) (let ((_let_418 (REFL :args (_let_117)))) (let ((_let_419 (= tptp.sk_c9 _let_53))) (let ((_let_420 (ASSUME :args (_let_398)))) (let ((_let_421 (SYMM (SYMM (ASSUME :args (_let_419)))))) (let ((_let_422 (SYMM _let_420))) (let ((_let_423 (TRANS _let_421 _let_253))) (let ((_let_424 (ASSUME :args (_let_136)))) (let ((_let_425 (FALSE_INTRO _let_424))) (let ((_let_426 (SYMM _let_425))) (let ((_let_427 (MODUS_PONENS (AND_INTRO _let_327 _let_205 _let_209 _let_220 _let_255 _let_252 _let_166 _let_183) (SCOPE (TRANS _let_185 _let_348 _let_346 (CONG _let_258 _let_330 :args _let_164)) :args (_let_62 _let_57 _let_76 _let_61 _let_66 _let_54 _let_75 _let_63))))) (let ((_let_428 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_289 _let_111))))) (let ((_let_429 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_111))))) (let ((_let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_291 false _let_77)))) (let ((_let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c8 _let_58 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)) _let_86 :args (_let_295 false _let_50)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_298 false _let_90)))) (let ((_let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c4 tptp.sk_c8 _let_293 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_402 false _let_50)))) (let ((_let_434 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8 _let_293 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_403 false _let_50)))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_13 tptp.sk_c4 _let_294 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_404 false _let_50)))) (let ((_let_436 (not _let_298))) (let ((_let_437 (REFL :args (_let_436)))) (let ((_let_438 (not _let_295))) (let ((_let_439 (REFL :args (_let_438)))) (let ((_let_440 (not _let_291))) (let ((_let_441 (REFL :args (_let_440)))) (let ((_let_442 (not _let_72))) (let ((_let_443 (REFL :args (_let_442)))) (let ((_let_444 (not _let_289))) (let ((_let_445 (REFL :args (_let_444)))) (let ((_let_446 (= tptp.sk_c9 (tptp.inverse _let_13)))) (let ((_let_447 (not _let_446))) (let ((_let_448 (ASSUME :args (_let_72)))) (let ((_let_449 (SYMM _let_448))) (let ((_let_450 (SYMM _let_449))) (let ((_let_451 (CONG _let_330 _let_176 :args _let_164))) (let ((_let_452 (ASSUME :args (_let_291)))) (let ((_let_453 (SYMM _let_452))) (let ((_let_454 (REFL :args (tptp.sk_c4)))) (let ((_let_455 (CONG (TRANS _let_330 _let_450) _let_454 :args _let_164))) (let ((_let_456 (ASSUME :args (_let_295)))) (let ((_let_457 (SYMM _let_456))) (let ((_let_458 (TRANS _let_457 _let_455 _let_453 _let_252 _let_354 _let_256 _let_254 _let_184))) (let ((_let_459 (ASSUME :args (_let_298)))) (let ((_let_460 (SYMM _let_459))) (let ((_let_461 (SYMM _let_354))) (let ((_let_462 (TRANS _let_183 (SYMM _let_254) _let_255 _let_461 _let_253))) (let ((_let_463 (CONG _let_167 _let_454 :args _let_164))) (let ((_let_464 (TRANS _let_463 (CONG _let_462 _let_454 :args _let_164) _let_460))) (let ((_let_465 (CONG _let_188 (TRANS _let_166 _let_343 _let_229) :args _let_164))) (let ((_let_466 (CONG (TRANS (TRANS _let_422 _let_190 _let_465 _let_334 _let_342 _let_221 _let_329 _let_328) _let_336) _let_464 :args _let_164))) (let ((_let_467 (ASSUME :args (_let_403)))) (let ((_let_468 (ASSUME :args (_let_289)))) (let ((_let_469 (SYMM _let_468))) (let ((_let_470 (ASSUME :args (_let_402)))) (let ((_let_471 (ASSUME :args (_let_404)))) (let ((_let_472 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_424 _let_448) (SCOPE (FALSE_ELIM (TRANS (CONG _let_176 (CONG _let_449 :args _let_251) :args (=)) _let_425)) :args (_let_136 _let_72))) (MODUS_PONENS (AND_INTRO _let_448 _let_321 _let_190 _let_327 _let_205 _let_209 _let_220 _let_183 _let_252 _let_166 _let_255 _let_452 _let_456 _let_333 _let_228 _let_420 _let_459 _let_467 _let_468 _let_470 _let_471) (SCOPE (TRANS _let_166 _let_343 _let_229 _let_227 (CONG (TRANS _let_167 _let_462 _let_452) (SYMM _let_458) :args _let_164) (SYMM (SYMM _let_471)) (CONG (REFL :args (_let_13)) (TRANS (SYMM _let_470) (CONG (TRANS (TRANS _let_469 _let_190 _let_465 _let_334 _let_342 _let_221 _let_329 _let_328) _let_336) _let_464 :args _let_164) (SYMM _let_466) _let_467) :args _let_164) (CONG _let_449 (TRANS (SYMM _let_467) _let_466 _let_456) :args _let_164) (CONG _let_336 _let_458 :args _let_164) _let_451 _let_191 _let_323 (CONG _let_450 :args _let_251)) :args (_let_72 _let_71 _let_70 _let_62 _let_57 _let_76 _let_61 _let_63 _let_54 _let_75 _let_66 _let_291 _let_295 _let_292 _let_65 _let_398 _let_298 _let_403 _let_289 _let_402 _let_404)))) :args (_let_70 _let_71 _let_289 _let_72 _let_75 _let_76 _let_398 _let_54 _let_291 _let_57 _let_61 _let_62 _let_63 _let_292 _let_295 _let_65 _let_66 _let_298 _let_402 _let_403 _let_136 _let_404)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_447)))) (TRUE_INTRO (ASSUME :args (_let_446))))) :args (_let_447 _let_446)) :args ((not (and _let_70 _let_71 _let_289 _let_72 _let_75 _let_76 _let_398 _let_54 _let_291 _let_57 _let_61 _let_62 _let_63 _let_292 _let_295 _let_65 _let_66 _let_298 _let_402 _let_403 _let_136 _let_404)) SB_LITERAL))) (CONG _let_418 _let_417 _let_445 _let_443 _let_416 _let_415 _let_414 _let_413 _let_441 _let_412 _let_411 _let_410 _let_409 _let_408 _let_439 _let_407 _let_406 _let_437 (REFL :args ((not _let_402))) (REFL :args ((not _let_403))) _let_405 (REFL :args ((not _let_404))) :args _let_148)))) (let ((_let_473 (MACRO_RESOLUTION_TRUST _let_194 _let_157 _let_97 _let_156 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_110))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_109))) :args ((or _let_72 _let_117 _let_245 _let_106 _let_125) false _let_115 false _let_63 false _let_113 false _let_110 false _let_109)))) (let ((_let_474 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_289 _let_109))))) (let ((_let_475 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_289 _let_110))))) (let ((_let_476 (not _let_140))) (let ((_let_477 (_let_476))) (let ((_let_478 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c5 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_297 false _let_50)))) (let ((_let_479 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_299 false _let_90)))) (let ((_let_480 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_19 tptp.sk_c8 _let_293 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_300 false _let_50)))) (let ((_let_481 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c5 tptp.sk_c8 _let_293 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_302 false _let_50)))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c9 tptp.sk_c5 _let_294 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)) _let_86 :args (_let_303 false _let_50)))) (let ((_let_483 (not _let_303))) (let ((_let_484 (not _let_302))) (let ((_let_485 (not _let_300))) (let ((_let_486 (not _let_299))) (let ((_let_487 (not _let_297))) (let ((_let_488 (= tptp.sk_c7 _let_296))) (let ((_let_489 (= tptp.sk_c9 _let_16))) (let ((_let_490 (ASSUME :args (_let_488)))) (let ((_let_491 (ASSUME :args (_let_297)))) (let ((_let_492 (ASSUME :args (_let_103)))) (let ((_let_493 (SYMM _let_492))) (let ((_let_494 (SYMM _let_493))) (let ((_let_495 (REFL :args (tptp.sk_c5)))) (let ((_let_496 (CONG (TRANS _let_376 _let_450) _let_454 :args _let_164))) (let ((_let_497 (ASSUME :args (_let_299)))) (let ((_let_498 (SYMM (SYMM _let_497)))) (let ((_let_499 (SYMM _let_387))) (let ((_let_500 (SYMM _let_352))) (let ((_let_501 (TRANS _let_185 _let_500 _let_346 _let_499 _let_351))) (let ((_let_502 (ASSUME :args (_let_303)))) (let ((_let_503 (SYMM (SYMM _let_502)))) (let ((_let_504 (ASSUME :args (_let_302)))) (let ((_let_505 (SYMM _let_504))) (let ((_let_506 (REFL :args (_let_293)))) (let ((_let_507 (SYMM _let_501))) (let ((_let_508 (CONG _let_507 _let_454 :args _let_164))) (let ((_let_509 (SYMM _let_460))) (let ((_let_510 (CONG (TRANS _let_501 _let_347) (TRANS _let_509 _let_508 (CONG _let_325 _let_454 :args _let_164)) :args _let_164))) (let ((_let_511 (ASSUME :args (_let_300)))) (let ((_let_512 (SYMM _let_511))) (let ((_let_513 (SYMM _let_512))) (let ((_let_514 (REFL :args (_let_294)))) (let ((_let_515 (CONG _let_351 _let_167 :args _let_164))) (let ((_let_516 (CONG _let_336 (TRANS _let_457 _let_455 _let_453 _let_347 _let_354 _let_353 _let_515 _let_197) :args _let_164))) (let ((_let_517 (CONG _let_345 _let_514 :args _let_164))) (let ((_let_518 (SYMM _let_515))) (let ((_let_519 (TRANS _let_185 _let_518 _let_346 _let_461 _let_351))) (let ((_let_520 (CONG (TRANS _let_493 _let_519 _let_347) _let_506 :args _let_164))) (let ((_let_521 (CONG _let_519 _let_454 :args _let_164))) (let ((_let_522 (TRANS _let_463 _let_521 _let_460))) (let ((_let_523 (SYMM _let_522))) (let ((_let_524 (CONG (TRANS _let_519 _let_347) _let_523 :args _let_164))) (let ((_let_525 (TRANS _let_459 (SYMM _let_521) _let_524 (SYMM _let_520) _let_504))) (let ((_let_526 (SYMM _let_455))) (let ((_let_527 (TRANS (CONG (TRANS _let_498 (CONG (SYMM _let_519) _let_495 :args _let_164)) (TRANS _let_212 _let_206 _let_452 _let_526 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_let_75 _let_63 _let_292 _let_65 _let_291 _let_72 _let_295 _let_70 _let_71 _let_300 _let_103 _let_302 _let_303 _let_299))) _let_468 (MODUS_PONENS (AND_INTRO _let_491 _let_492 _let_183 _let_252 _let_166 _let_255 _let_220 _let_209 _let_205 _let_327 _let_497 _let_452 _let_448 _let_456 _let_502 _let_504 _let_459 _let_511 _let_321 _let_190 _let_228 _let_333) (SCOPE (TRANS _let_192 (CONG _let_375 _let_176 :args _let_164) (CONG _let_376 (TRANS _let_185 _let_500 _let_346 _let_499 _let_351 _let_452 (SYMM _let_496) _let_456) :args _let_164) (CONG _let_379 _let_514 :args _let_164) (SYMM _let_513) (SYMM _let_510) (SYMM _let_508) (CONG _let_507 (TRANS _let_509 _let_508 _let_510 (CONG (TRANS _let_351 _let_507 _let_494) _let_506 :args _let_164) (SYMM _let_505)) :args _let_164) (SYMM _let_503) (CONG (TRANS (CONG _let_501 _let_495 :args _let_164) (SYMM _let_498)) (TRANS _let_457 _let_496 _let_453 _let_207 _let_371) :args _let_164) (CONG _let_495 (TRANS (SYMM _let_371) _let_206 _let_347 _let_387 _let_353 _let_352 _let_197) :args _let_164) (CONG _let_495 _let_494 :args _let_164) (SYMM _let_491)) :args (_let_297 _let_103 _let_63 _let_54 _let_75 _let_66 _let_61 _let_76 _let_57 _let_62 _let_299 _let_291 _let_72 _let_295 _let_303 _let_302 _let_298 _let_300 _let_71 _let_70 _let_65 _let_292))) _let_321 _let_424) :args (_let_70 _let_71 _let_289 _let_72 _let_103 _let_75 _let_76 _let_54 _let_291 _let_57 _let_61 _let_62 _let_63 _let_292 _let_295 _let_297 _let_65 _let_66 _let_298 _let_299 _let_300 _let_302 _let_303 _let_136)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_426 (TRUE_INTRO (TRANS _let_423 _let_347 (SYMM (TRANS (SYMM _let_490) (SYMM _let_469) (SYMM (ASSUME :args (_let_489))) _let_421)) (SYMM (TRANS _let_322 _let_490)))))) :args (_let_54 _let_419 _let_489 _let_289 _let_488 _let_71 _let_136)) :args ((not (and _let_70 _let_71 _let_289 _let_72 _let_103 _let_75 _let_76 _let_54 _let_291 _let_57 _let_61 _let_62 _let_63 _let_292 _let_295 _let_297 _let_65 _let_66 _let_298 _let_299 _let_300 _let_302 _let_303 _let_136)) SB_LITERAL))) (CONG _let_418 _let_417 _let_445 _let_443 (REFL :args (_let_285)) _let_416 _let_415 _let_413 _let_441 _let_412 _let_411 _let_410 _let_409 _let_408 _let_439 (REFL :args (_let_487)) _let_407 _let_406 _let_437 (REFL :args (_let_486)) (REFL :args (_let_485)) (REFL :args (_let_484)) (REFL :args (_let_483)) _let_405 :args _let_148)) :args ((or _let_117 _let_280 _let_444 _let_442 _let_285 _let_106 _let_105 _let_244 _let_440 _let_241 _let_240 _let_319 _let_239 _let_318 _let_438 _let_487 _let_317 _let_238 _let_436 _let_486 _let_485 _let_484 _let_128 _let_483))))) (let ((_let_529 (MACRO_RESOLUTION_TRUST _let_270 _let_235 _let_157 _let_101 _let_195 _let_97 _let_89 _let_84 _let_156 _let_234 _let_82 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_111))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_110))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_109))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_108))) (MACRO_RESOLUTION_TRUST _let_528 _let_482 _let_481 _let_480 _let_479 _let_432 _let_101 _let_99 _let_478 _let_431 _let_359 _let_97 _let_95 _let_89 _let_84 _let_430 _let_82 _let_429 _let_428 (MACRO_RESOLUTION_TRUST _let_528 _let_482 _let_481 _let_480 _let_479 _let_432 _let_101 _let_99 _let_478 _let_431 _let_359 _let_97 _let_95 _let_89 _let_84 _let_430 _let_82 (MACRO_RESOLUTION_TRUST _let_194 _let_157 _let_97 _let_156 _let_475 _let_474 :args ((or _let_289 _let_117 _let_245 _let_106 _let_125) false _let_115 false _let_63 false _let_113 false _let_110 false _let_109)) _let_473 _let_271 _let_340 _let_83 _let_78 _let_88 _let_94 _let_91 _let_316 _let_98 _let_86 _let_277 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_477)) :args _let_477)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_476) _let_140))) (REFL :args ((not _let_400))) :args _let_148)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_400 0)) (CONG (REFL :args (_let_400)) (MACRO_SR_PRED_INTRO :args ((= (not _let_399) _let_398))) :args _let_148)) :args ((or _let_398 _let_400))) (MACRO_RESOLUTION_TRUST _let_194 _let_157 _let_97 _let_156 _let_475 _let_474 _let_472 _let_435 _let_434 _let_433 _let_432 _let_101 _let_99 _let_431 _let_359 _let_97 _let_95 _let_89 _let_84 _let_430 _let_82 _let_473 (MACRO_RESOLUTION_TRUST _let_472 _let_435 _let_434 _let_433 _let_432 _let_101 _let_99 _let_431 _let_359 _let_97 _let_95 _let_89 _let_84 _let_430 _let_82 _let_429 _let_428 _let_396 _let_395 _let_394 :args ((or _let_111 _let_117 _let_280 _let_106 _let_105 _let_399) false _let_404 false _let_403 false _let_402 false _let_298 false _let_66 false _let_65 false _let_295 false _let_292 false _let_63 false _let_62 false _let_61 false _let_57 false _let_291 false _let_54 false _let_72 false _let_289 true _let_128 false _let_288 false _let_139)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_252 _let_427 _let_349 _let_268 _let_420 _let_321 _let_424) :args (_let_70 _let_71 _let_75 _let_76 _let_398 _let_54 _let_57 _let_61 _let_62 _let_63 _let_292 _let_65 _let_66 _let_136 _let_125)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_426 (TRUE_INTRO (TRANS _let_423 _let_347 (SYMM (TRANS _let_422 _let_269 _let_267 _let_421)) (SYMM (TRANS _let_322 _let_420)))))) :args (_let_54 _let_419 _let_266 _let_125 _let_398 _let_71 _let_136)) :args ((not (and _let_70 _let_71 _let_75 _let_76 _let_398 _let_54 _let_57 _let_61 _let_62 _let_63 _let_292 _let_65 _let_66 _let_136 _let_125)) SB_LITERAL))) (CONG _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 (REFL :args (_let_134)) :args _let_148)) _let_101 _let_99 _let_359 _let_97 _let_95 _let_89 _let_84 _let_82 _let_396 _let_395 _let_394 :args ((or _let_117 _let_280 _let_106 _let_105 _let_399) false _let_115 false _let_63 false _let_113 false _let_110 false _let_109 true _let_289 false _let_404 false _let_403 false _let_402 false _let_298 false _let_66 false _let_65 false _let_295 false _let_292 false _let_63 false _let_62 false _let_61 false _let_57 false _let_291 false _let_54 false _let_72 false _let_111 true _let_125 false _let_66 false _let_65 false _let_292 false _let_63 false _let_62 false _let_61 false _let_57 false _let_54 true _let_128 false _let_288 false _let_139)) _let_282 _let_396 _let_395 _let_394 :args ((or _let_117 _let_280 _let_245 _let_106 _let_105) false _let_303 false _let_302 false _let_300 false _let_299 false _let_298 false _let_66 false _let_65 false _let_297 false _let_295 false _let_292 false _let_63 false _let_62 false _let_61 false _let_57 false _let_291 false _let_54 false _let_289 false _let_72 true _let_125 false _let_129 false _let_57 false _let_77 false _let_61 false _let_62 false _let_90 false _let_292 false _let_65 false _let_50 false _let_135 false _let_140 false _let_400 true _let_398 false _let_103 true _let_128 false _let_288 false _let_139)) _let_396 _let_395 _let_394 _let_282 :args ((or _let_117 _let_280 _let_106 _let_105) false _let_303 false _let_302 false _let_300 false _let_299 false _let_298 false _let_66 false _let_65 false _let_297 false _let_295 false _let_292 false _let_63 false _let_62 false _let_61 false _let_57 false _let_291 false _let_54 false _let_72 false _let_289 true _let_111 true _let_128 false _let_288 false _let_139 false _let_103)) _let_155 _let_154 _let_152 _let_287 _let_282 :args (_let_117 false _let_116 false _let_115 false _let_66 false _let_114 false _let_63 false _let_61 false _let_57 false _let_113 false _let_112 false _let_54 false _let_111 false _let_110 false _let_109 false _let_108 true _let_71 false _let_76 false _let_75 true _let_107 true _let_104 false _let_103)))) (let ((_let_530 (MACRO_RESOLUTION_TRUST _let_152 (MACRO_RESOLUTION_TRUST _let_287 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) _let_529 :args (_let_103 true _let_70)) :args (_let_150 false _let_103)) :args (_let_149 true _let_104)))) (let ((_let_531 (and _let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_54 _let_55 _let_57 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_69))) (let ((_let_532 (CONG _let_188 _let_167 :args _let_164))) (let ((_let_533 (CONG _let_232 _let_188 :args _let_164))) (let ((_let_534 (SYMM _let_533))) (let ((_let_535 (SYMM _let_532))) (let ((_let_536 (CONG _let_449 _let_176 :args _let_164))) (let ((_let_537 (TRANS _let_536 _let_535 _let_221 _let_534 _let_328))) (let ((_let_538 (ASSUME :args (_let_73)))) (let ((_let_539 (TRANS (SYMM _let_538) _let_323))) (let ((_let_540 (CONG (SYMM _let_539) (TRANS _let_221 _let_534 _let_328) :args _let_164))) (let ((_let_541 (CONG _let_252 _let_166 :args _let_164))) (let ((_let_542 (TRANS _let_185 _let_541 _let_346 _let_540 (CONG _let_539 _let_188 :args _let_164) _let_253))) (let ((_let_543 (CONG _let_542 _let_537 :args _let_164))) (let ((_let_544 (SYMM _let_542))) (let ((_let_545 (ASSUME :args (_let_55)))) (let ((_let_546 (REFL :args (tptp.sk_c6)))) (let ((_let_547 (ASSUME :args (_let_74)))) (let ((_let_548 (SYMM _let_547))) (let ((_let_549 (SYMM _let_548))) (let ((_let_550 (ASSUME :args (_let_67)))) (let ((_let_551 (TRANS (SYMM (SYMM _let_550)) (CONG _let_544 _let_546 :args _let_164) (CONG _let_549 _let_546 :args _let_164) (SYMM _let_545)))) (let ((_let_552 (ASSUME :args (_let_69)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_531)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_166 _let_220 _let_209 _let_205 _let_252 _let_321 _let_538 _let_327 _let_255 _let_183 _let_448 _let_545 _let_547 _let_550 _let_552 _let_228) (SCOPE (TRANS _let_538 (CONG _let_546 _let_166 :args _let_164) (CONG (TRANS _let_551 _let_544 _let_549) _let_167 :args _let_164) (CONG _let_548 _let_176 :args _let_164) _let_230 (CONG _let_171 _let_166 :args _let_164) _let_331 (CONG _let_208 _let_532 :args _let_164) (CONG _let_208 (TRANS _let_535 _let_221 _let_534 _let_328) :args _let_164) _let_167 _let_185 _let_541 _let_346 _let_540 (SYMM (SYMM _let_552)) (CONG (TRANS _let_551 _let_544) (TRANS (CONG _let_176 (SYMM _let_537) :args _let_164) _let_543 _let_533 _let_222 _let_532 (SYMM _let_536)) :args _let_164) _let_543 _let_533 _let_222 _let_532) :args (_let_75 _let_61 _let_76 _let_57 _let_54 _let_71 _let_73 _let_62 _let_66 _let_63 _let_72 _let_55 _let_74 _let_67 _let_69 _let_65))) :args (_let_71 _let_72 _let_73 _let_74 _let_75 _let_76 _let_54 _let_55 _let_57 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_69))) :args (true _let_531)) :args ((or _let_70 _let_280 _let_442 (not _let_73) (not _let_74) _let_106 _let_105 _let_244 (not _let_55) _let_241 _let_240 _let_319 _let_239 _let_317 _let_238 (not _let_67) (not _let_69)))) (MACRO_RESOLUTION_TRUST _let_155 _let_530 :args (_let_76 true _let_107)) (MACRO_RESOLUTION_TRUST _let_154 _let_530 :args (_let_75 true _let_107)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_529 :args (_let_74 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) _let_529 :args (_let_73 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) _let_529 :args (_let_72 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_529 :args (_let_71 true _let_70)) _let_529 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c6 tptp.sk_c9 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_85)) _let_86 :args (_let_69 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_67 false _let_90)) _let_101 _let_99 _let_97 _let_95 _let_89 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_55 false _let_77)) _let_82 :args (false false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 true _let_70 false _let_69 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_57 false _let_55 false _let_54)) :args (_let_52 _let_51 _let_50 _let_49 (or _let_44 _let_17) _let_48 _let_47 (or _let_44 _let_9) _let_46 _let_45 (or _let_40 _let_20) (or _let_40 _let_17) (or _let_40 _let_14) _let_42 _let_41 (or _let_40 _let_7) (or _let_40 _let_3) _let_38 (or _let_35 _let_17) (or _let_35 _let_14) _let_37 _let_36 (or _let_35 _let_7) (or _let_35 _let_3) _let_33 _let_32 _let_31 _let_30 (or _let_29 _let_9) (or _let_29 _let_7) (or _let_29 _let_3) _let_27 _let_26 _let_25 _let_24 (or _let_23 _let_9) (or _let_23 _let_7) (or _let_23 _let_3) _let_21 _let_18 _let_15 _let_12 (or _let_5 _let_9) (or _let_5 _let_7) (or _let_5 _let_3) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.79  )
% 0.59/0.79  % SZS output end Proof for GRP329-1
% 0.59/0.79  % cvc5---1.0.5 exiting
% 0.59/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------