TSTP Solution File: GRP258-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP258-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 00:25:22 EDT 2023

% Result   : Unsatisfiable 10.68s 11.09s
% Output   : Proof 10.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP258-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 23:00:50 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FKDWJrdnrc/cvc5---1.0.5_10880.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP258-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10880.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.64/10.85  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.68/11.09  % SZS status Unsatisfiable for GRP258-1
% 10.68/11.09  % SZS output start Proof for GRP258-1
% 10.68/11.11  (
% 10.68/11.11  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X7 $$unsorted) (X3 $$unsorted) (X8 $$unsorted) (X9 $$unsorted)) (or (not (= (tptp.multiply X4 tptp.sk_c12) tptp.sk_c11)) (not (= (tptp.inverse X4) tptp.sk_c12)) (not (= (tptp.multiply X5 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X5) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c10 tptp.sk_c12) tptp.sk_c11)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c12)) (not (= (tptp.inverse X6) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c12) tptp.sk_c11)) (not (= (tptp.inverse X1) tptp.sk_c12)) (not (= (tptp.multiply X2 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X2) tptp.sk_c11)) (not (= (tptp.multiply X7 X3) tptp.sk_c12)) (not (= (tptp.inverse X7) X3)) (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c12)) (not (= (tptp.inverse X8) X9)) (not (= (tptp.inverse X9) X3)) (not (= (tptp.multiply X8 X3) X9)))))) (let ((_let_2 (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7))) (let ((_let_3 (= (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (let ((_let_4 (= (tptp.inverse tptp.sk_c7) tptp.sk_c9))) (let ((_let_5 (= (tptp.inverse tptp.sk_c8) tptp.sk_c7))) (let ((_let_6 (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) tptp.sk_c12))) (let ((_let_7 (tptp.inverse tptp.sk_c6))) (let ((_let_8 (= _let_7 tptp.sk_c9))) (let ((_let_9 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (let ((_let_10 (= _let_9 tptp.sk_c12))) (let ((_let_11 (tptp.inverse tptp.sk_c5))) (let ((_let_12 (= _let_11 tptp.sk_c11))) (let ((_let_13 (tptp.multiply tptp.sk_c5 tptp.sk_c11))) (let ((_let_14 (= _let_13 tptp.sk_c10))) (let ((_let_15 (tptp.inverse tptp.sk_c4))) (let ((_let_16 (= _let_15 tptp.sk_c12))) (let ((_let_17 (tptp.multiply tptp.sk_c4 tptp.sk_c12))) (let ((_let_18 (= _let_17 tptp.sk_c11))) (let ((_let_19 (= (tptp.multiply tptp.sk_c3 tptp.sk_c10) tptp.sk_c12))) (let ((_let_20 (tptp.multiply tptp.sk_c10 tptp.sk_c12))) (let ((_let_21 (= _let_20 tptp.sk_c11))) (let ((_let_22 (or _let_21 _let_8))) (let ((_let_23 (or _let_21 _let_10))) (let ((_let_24 (tptp.inverse tptp.sk_c2))) (let ((_let_25 (= _let_24 tptp.sk_c11))) (let ((_let_26 (or _let_25 _let_8))) (let ((_let_27 (or _let_25 _let_10))) (let ((_let_28 (or _let_25 _let_12))) (let ((_let_29 (or _let_25 _let_14))) (let ((_let_30 (or _let_25 _let_16))) (let ((_let_31 (or _let_25 _let_18))) (let ((_let_32 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (let ((_let_33 (= _let_32 tptp.sk_c10))) (let ((_let_34 (or _let_33 _let_8))) (let ((_let_35 (or _let_33 _let_10))) (let ((_let_36 (or _let_33 _let_12))) (let ((_let_37 (or _let_33 _let_14))) (let ((_let_38 (or _let_33 _let_16))) (let ((_let_39 (or _let_33 _let_18))) (let ((_let_40 (tptp.inverse tptp.sk_c1))) (let ((_let_41 (= _let_40 tptp.sk_c12))) (let ((_let_42 (or _let_41 _let_8))) (let ((_let_43 (or _let_41 _let_10))) (let ((_let_44 (or _let_41 _let_12))) (let ((_let_45 (or _let_41 _let_14))) (let ((_let_46 (or _let_41 _let_16))) (let ((_let_47 (or _let_41 _let_18))) (let ((_let_48 (tptp.multiply tptp.sk_c1 tptp.sk_c12))) (let ((_let_49 (= _let_48 tptp.sk_c11))) (let ((_let_50 (or _let_49 _let_8))) (let ((_let_51 (or _let_49 _let_10))) (let ((_let_52 (or _let_49 _let_12))) (let ((_let_53 (or _let_49 _let_14))) (let ((_let_54 (or _let_49 _let_16))) (let ((_let_55 (or _let_49 _let_18))) (let ((_let_56 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_57 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_58 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_59 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X2))))))) (let ((_let_60 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X5))))))) (let ((_let_61 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X1 tptp.sk_c12))) (not (= tptp.sk_c12 (tptp.inverse X1))))))) (let ((_let_62 (= tptp.sk_c11 _let_20))) (let ((_let_63 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c12))) (not (= tptp.sk_c12 (tptp.inverse X4))))))) (let ((_let_64 (forall ((X7 $$unsorted) (X8 $$unsorted)) (let ((_let_1 (tptp.inverse X7))) (let ((_let_2 (tptp.inverse X8))) (or (not (= tptp.sk_c12 (tptp.multiply X7 _let_1))) (not (= tptp.sk_c12 (tptp.multiply _let_1 tptp.sk_c11))) (not (= _let_1 (tptp.inverse _let_2))) (not (= _let_2 (tptp.multiply X8 _let_1))))))))) (let ((_let_65 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c12 (tptp.multiply X6 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X6))))))) (let ((_let_66 (= tptp.sk_c11 _let_11))) (let ((_let_67 (not _let_66))) (let ((_let_68 (= tptp.sk_c10 _let_13))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not _let_60))) (let ((_let_72 (not _let_70))) (let ((_let_73 (= tptp.sk_c11 _let_48))) (let ((_let_74 (= tptp.sk_c12 _let_40))) (let ((_let_75 (= tptp.sk_c11 _let_17))) (let ((_let_76 (= tptp.sk_c12 _let_15))) (let ((_let_77 (= tptp.sk_c12 _let_9))) (let ((_let_78 (= tptp.sk_c9 _let_7))) (let ((_let_79 (not _let_76))) (let ((_let_80 (not _let_75))) (let ((_let_81 (or _let_80 _let_79))) (let ((_let_82 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_83 (= tptp.identity _let_82))) (let ((_let_84 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_85 (tptp.multiply _let_15 tptp.sk_c4))) (let ((_let_86 (= tptp.identity _let_85))) (let ((_let_87 (tptp.multiply tptp.identity _let_15))) (let ((_let_88 (= _let_15 _let_87))) (let ((_let_89 (tptp.inverse _let_15))) (let ((_let_90 (tptp.multiply _let_89 _let_15))) (let ((_let_91 (= tptp.identity _let_90))) (let ((_let_92 (tptp.multiply _let_89 _let_85))) (let ((_let_93 (= (tptp.multiply _let_90 tptp.sk_c4) _let_92))) (let ((_let_94 (tptp.multiply tptp.sk_c4 _let_15))) (let ((_let_95 (= (tptp.multiply _let_85 _let_15) (tptp.multiply _let_15 _let_94)))) (let ((_let_96 (= tptp.sk_c12 (tptp.multiply _let_15 tptp.sk_c11)))) (let ((_let_97 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_98 (= tptp.identity (tptp.multiply _let_11 tptp.sk_c5)))) (let ((_let_99 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_100 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_101 (= tptp.identity (tptp.multiply _let_7 tptp.sk_c6)))) (let ((_let_102 (tptp.inverse tptp.sk_c9))) (let ((_let_103 (tptp.multiply _let_102 tptp.sk_c9))) (let ((_let_104 (= tptp.identity _let_103))) (let ((_let_105 (= (tptp.multiply _let_103 tptp.sk_c6) (tptp.multiply _let_102 (tptp.multiply tptp.sk_c9 tptp.sk_c6))))) (let ((_let_106 (= (tptp.multiply (tptp.multiply _let_102 tptp.sk_c11) tptp.sk_c9) (tptp.multiply _let_102 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (let ((_let_107 (= (tptp.multiply _let_92 tptp.sk_c12) (tptp.multiply _let_89 (tptp.multiply _let_85 tptp.sk_c12))))) (let ((_let_108 (tptp.inverse tptp.identity))) (let ((_let_109 (tptp.inverse _let_108))) (let ((_let_110 (= _let_15 _let_109))) (let ((_let_111 (tptp.inverse _let_11))) (let ((_let_112 (tptp.multiply tptp.identity _let_111))) (let ((_let_113 (= _let_111 _let_112))) (let ((_let_114 (= _let_108 _let_87))) (let ((_let_115 (= tptp.sk_c12 _let_94))) (let ((_let_116 (not _let_114))) (let ((_let_117 (not _let_110))) (let ((_let_118 (not _let_96))) (let ((_let_119 (not _let_115))) (let ((_let_120 (or _let_119 _let_118 _let_117 _let_116))) (let ((_let_121 (= _let_15 tptp.sk_c10))) (let ((_let_122 (not _let_121))) (let ((_let_123 (= tptp.sk_c12 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (= (tptp.multiply _let_48 tptp.sk_c4) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c12 tptp.sk_c4))))) (let ((_let_127 (not _let_73))) (let ((_let_128 (not _let_74))) (let ((_let_129 (or _let_127 _let_128))) (let ((_let_130 (= tptp.sk_c11 _let_24))) (let ((_let_131 (= tptp.sk_c10 _let_32))) (let ((_let_132 (tptp.multiply _let_40 tptp.sk_c1))) (let ((_let_133 (= tptp.identity _let_132))) (let ((_let_134 (= _let_40 (tptp.multiply tptp.identity _let_40)))) (let ((_let_135 (= (tptp.multiply _let_132 _let_40) (tptp.multiply _let_40 (tptp.multiply tptp.sk_c1 _let_40))))) (let ((_let_136 (tptp.multiply tptp.identity tptp.sk_c11))) (let ((_let_137 (= (tptp.multiply _let_82 tptp.sk_c11) (tptp.multiply tptp.identity _let_136)))) (let ((_let_138 (= tptp.sk_c11 _let_136))) (let ((_let_139 (tptp.inverse tptp.sk_c11))) (let ((_let_140 (tptp.multiply _let_139 tptp.sk_c11))) (let ((_let_141 (= tptp.identity _let_140))) (let ((_let_142 (= (tptp.multiply _let_48 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c12 tptp.sk_c11))))) (let ((_let_143 (= (tptp.multiply _let_140 tptp.sk_c11) (tptp.multiply _let_139 (tptp.multiply tptp.sk_c11 tptp.sk_c11))))) (let ((_let_144 (= tptp.sk_c12 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) (let ((_let_145 (= tptp.sk_c10 _let_40))) (let ((_let_146 (not _let_145))) (let ((_let_147 (not _let_144))) (let ((_let_148 (or _let_147 _let_146))) (let ((_let_149 (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_127 _let_128 (not _let_129)))))) (let ((_let_150 (_let_63))) (let ((_let_151 (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_152 (ASSUME :args _let_150))) (let ((_let_153 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_151) :args _let_150)))) (let ((_let_154 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_63 (= X4 X1)))))) (let ((_let_155 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_58)) (MACRO_SR_EQ_INTRO :args (_let_58 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (_let_155))) (let ((_let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_157)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST _let_158 _let_156 :args (_let_83 false _let_155)))) (let ((_let_160 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_57)) (MACRO_SR_EQ_INTRO :args (_let_57 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 (tptp.sk_c1 QUANTIFIERS_INST_ENUM))) (let ((_let_164 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_163) :args _let_162)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST _let_164 _let_161 :args (_let_133 false _let_160)))) (let ((_let_166 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_40 QUANTIFIERS_INST_CBQI_PROP)) :args _let_157)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST _let_166 _let_156 :args (_let_134 false _let_155)))) (let ((_let_168 (_let_56))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_40 tptp.sk_c1 _let_40 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)))) (let ((_let_171 (MACRO_RESOLUTION_TRUST _let_170 _let_169 :args (_let_135 false _let_56)))) (let ((_let_172 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.identity tptp.identity tptp.sk_c11 QUANTIFIERS_INST_ENUM)) :args _let_168)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST _let_172 _let_169 :args (_let_137 false _let_56)))) (let ((_let_174 (tptp.sk_c11 QUANTIFIERS_INST_ENUM))) (let ((_let_175 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args _let_174) :args _let_157)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST _let_175 _let_156 :args (_let_138 false _let_155)))) (let ((_let_177 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_174) :args _let_162)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST _let_177 _let_161 :args (_let_141 false _let_160)))) (let ((_let_179 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.sk_c1 tptp.sk_c12 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST _let_179 _let_169 :args (_let_142 false _let_56)))) (let ((_let_181 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_139 tptp.sk_c11 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST _let_181 _let_169 :args (_let_143 false _let_56)))) (let ((_let_183 (not _let_143))) (let ((_let_184 (not _let_142))) (let ((_let_185 (not _let_141))) (let ((_let_186 (not _let_138))) (let ((_let_187 (not _let_137))) (let ((_let_188 (not _let_135))) (let ((_let_189 (not _let_134))) (let ((_let_190 (not _let_133))) (let ((_let_191 (not _let_83))) (let ((_let_192 (and _let_73 _let_76 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_142 _let_143))) (let ((_let_193 (APPLY_UF tptp.multiply))) (let ((_let_194 (ASSUME :args (_let_138)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (REFL :args (tptp.sk_c11)))) (let ((_let_197 (ASSUME :args (_let_83)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (CONG _let_198 _let_196 :args _let_193))) (let ((_let_200 (ASSUME :args (_let_137)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (ASSUME :args (_let_141)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (CONG _let_203 _let_194 :args _let_193))) (let ((_let_205 (ASSUME :args (_let_143)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (ASSUME :args (_let_73)))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (CONG _let_208 _let_196 :args _let_193))) (let ((_let_210 (ASSUME :args (_let_142)))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (ASSUME :args (_let_74)))) (let ((_let_213 (SYMM _let_212))) (let ((_let_214 (REFL :args (tptp.sk_c1)))) (let ((_let_215 (CONG _let_214 _let_213 :args _let_193))) (let ((_let_216 (TRANS _let_215 _let_208))) (let ((_let_217 (ASSUME :args (_let_135)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (REFL :args (_let_40)))) (let ((_let_221 (ASSUME :args (_let_133)))) (let ((_let_222 (SYMM _let_221))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (CONG _let_223 _let_220 :args _let_193))) (let ((_let_225 (ASSUME :args (_let_134)))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (SYMM _let_226))) (let ((_let_228 (SYMM _let_215))) (let ((_let_229 (REFL :args (_let_139)))) (let ((_let_230 (CONG _let_229 (TRANS _let_207 _let_228 (CONG _let_214 (TRANS _let_227 _let_224 _let_219 (CONG _let_213 _let_216 :args _let_193)) :args _let_193) _let_211 _let_209) :args _let_193))) (let ((_let_231 (TRANS _let_202 _let_230 _let_206 _let_204 _let_201 _let_199 _let_195))) (let ((_let_232 (REFL :args (_let_15)))) (let ((_let_233 (SYMM _let_230))) (let ((_let_234 (SYMM _let_204))) (let ((_let_235 (SYMM _let_199))) (let ((_let_236 (ASSUME :args (_let_76)))) (let ((_let_237 (SYMM _let_236))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_192)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_194 _let_197 _let_200 _let_202 _let_205 _let_207 _let_210 _let_212 _let_217 _let_221 _let_225 _let_236) (SCOPE (TRANS 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_let_99 _let_100 _let_113 _let_101 _let_104 _let_142 _let_143 _let_105 _let_106))) :args (true _let_353)) :args ((or _let_127 _let_79 _let_67 _let_260 _let_259 _let_128 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_110 _let_343 _let_258 _let_257 _let_256 _let_255 _let_352 _let_254 _let_253 _let_184 _let_183 _let_252 _let_251))))) (let ((_let_365 (and _let_73 _let_75 _let_76 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_106))) (let ((_let_366 (REFL :args (tptp.sk_c4)))) (let ((_let_367 (ASSUME :args (_let_75)))) (let ((_let_368 (SYMM _let_367))) (let ((_let_369 (SYMM _let_368))) (let ((_let_370 (CONG _let_284 _let_274 :args _let_193))) (let ((_let_371 (CONG _let_275 _let_274 :args _let_193))) (let ((_let_372 (CONG (TRANS _let_272 _let_371 _let_280 (CONG _let_303 (TRANS _let_370 _let_287 _let_202 _let_230 _let_206 _let_204 _let_201 _let_199 _let_195) :args _let_193)) _let_269 :args _let_193))) (let ((_let_373 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_365)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_236 _let_367 _let_194 _let_197 _let_200 _let_202 _let_205 _let_207 _let_210 _let_212 _let_217 _let_221 _let_225 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_267 _let_372 _let_306 (CONG _let_303 (TRANS (CONG (TRANS _let_207 (TRANS _let_208 _let_194 _let_235 _let_200 _let_234 _let_205 _let_233 _let_203)) _let_269 :args _let_193) _let_312) :args _let_193) _let_276 _let_202 _let_230 _let_206 _let_204 _let_201 _let_199 _let_195 _let_369 (CONG _let_366 _let_238 :args _let_193)) :args (_let_76 _let_75 _let_138 _let_83 _let_137 _let_141 _let_143 _let_73 _let_142 _let_74 _let_135 _let_133 _let_134 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))) :args (_let_73 _let_75 _let_76 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_106))) :args (true _let_365)) :args ((or _let_127 _let_80 _let_79 _let_260 _let_259 _let_128 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_115 _let_256 _let_255 _let_254 _let_253 _let_184 _let_183 _let_252 _let_251))))) (let ((_let_374 (tptp.sk_c4 QUANTIFIERS_INST_ENUM))) (let ((_let_375 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args _let_374) :args _let_157)) _let_156 :args (_let_84 false _let_155)))) (let ((_let_376 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_374) :args _let_162)) _let_161 :args (_let_86 false _let_160)))) (let ((_let_377 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_15 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_161 :args (_let_91 false _let_160)))) (let ((_let_378 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.sk_c1 tptp.sk_c12 tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)) _let_169 :args (_let_126 false _let_56)))) (let ((_let_379 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_89 _let_15 tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)) _let_169 :args (_let_93 false _let_56)))) (let ((_let_380 (not _let_93))) (let ((_let_381 (not _let_91))) (let ((_let_382 (not _let_86))) (let ((_let_383 (not _let_84))) (let ((_let_384 (and _let_73 _let_76 _let_68 _let_66 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_84 _let_86 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_126 _let_93 _let_106))) (let ((_let_385 (TRANS _let_315 _let_194 _let_235 _let_200 _let_234 _let_205 _let_233 _let_203))) (let ((_let_386 (CONG _let_212 _let_214 :args _let_193))) (let ((_let_387 (ASSUME :args (_let_86)))) (let ((_let_388 (SYMM _let_387))) (let ((_let_389 (CONG _let_238 _let_366 :args _let_193))) (let ((_let_390 (ASSUME :args (_let_126)))) (let ((_let_391 (SYMM _let_390))) (let ((_let_392 (SYMM _let_391))) (let ((_let_393 (ASSUME :args (_let_84)))) (let ((_let_394 (SYMM _let_393))) (let ((_let_395 (ASSUME :args (_let_91)))) (let ((_let_396 (SYMM _let_395))) (let ((_let_397 (CONG _let_396 _let_393 :args _let_193))) (let ((_let_398 (ASSUME :args (_let_93)))) (let ((_let_399 (SYMM _let_398))) (let ((_let_400 (CONG _let_303 (TRANS (CONG (SYMM _let_231) _let_269 :args _let_193) _let_312) :args _let_193))) (let ((_let_401 (REFL :args (_let_89)))) (let ((_let_402 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_384)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_326 _let_194 _let_197 _let_200 _let_202 _let_205 _let_207 _let_210 _let_212 _let_217 _let_221 _let_225 _let_314 _let_323 _let_317 _let_387 _let_236 _let_390 _let_393 _let_395 _let_398 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_267 _let_372 _let_306 _let_400 _let_276 _let_395 (CONG _let_401 (TRANS _let_237 _let_267 _let_372 _let_306 _let_400 _let_276 _let_387) :args _let_193) _let_399 _let_397 (CONG (TRANS _let_202 _let_230 _let_206 _let_204 _let_201 _let_199 _let_195 _let_207) _let_394 :args _let_193) _let_392 (CONG _let_214 (TRANS _let_389 _let_388 _let_223 (SYMM _let_386)) :args _let_193) (CONG _let_214 (TRANS _let_386 _let_222 _let_197 (CONG (TRANS _let_319 (CONG _let_385 _let_321 :args _let_193) _let_324) (SYMM _let_385) :args _let_193) (CONG _let_321 _let_385 :args _let_193) (CONG _let_321 _let_231 :args _let_193) _let_327) :args _let_193)) :args (_let_68 _let_138 _let_83 _let_137 _let_141 _let_143 _let_73 _let_142 _let_74 _let_135 _let_133 _let_134 _let_66 _let_97 _let_98 _let_86 _let_76 _let_126 _let_84 _let_91 _let_93 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))) :args (_let_73 _let_76 _let_68 _let_66 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_84 _let_86 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_126 _let_93 _let_106))) :args (true _let_384)) :args ((or _let_127 _let_79 _let_69 _let_67 _let_260 _let_259 _let_128 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_383 _let_382 _let_258 _let_381 _let_257 _let_256 _let_255 _let_254 _let_253 _let_184 _let_183 _let_144 _let_252 (not _let_126) _let_380 _let_251))))) (let ((_let_403 (not _let_120))) (let ((_let_404 (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_118 _let_117 _let_116 _let_403))))) (let ((_let_405 (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_146 (not _let_148)))))) (let ((_let_406 (_let_64))) (let ((_let_407 (ASSUME :args _let_406))) (let ((_let_408 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (tptp.sk_c4 tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_406)))) (let ((_let_409 (_let_65))) (let ((_let_410 (ASSUME :args _let_409))) (let ((_let_411 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args _let_151) :args _let_409)))) (let ((_let_412 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_413 (= (tptp.multiply _let_48 tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c12 tptp.sk_c1))))) (let ((_let_414 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (let ((_let_415 (= tptp.sk_c11 _let_40))) (let ((_let_416 (not _let_415))) (let ((_let_417 (not _let_414))) (let ((_let_418 (or _let_417 _let_416))) (let ((_let_419 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args _let_163) :args _let_157)) _let_156 :args (_let_412 false _let_155)))) (let ((_let_420 (and _let_73 _let_76 _let_68 _let_66 _let_77 _let_78 _let_74 _let_83 _let_412 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_84 _let_86 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_413 _let_126 _let_93 _let_106))) (let ((_let_421 (SYMM _let_301))) (let ((_let_422 (CONG _let_421 _let_196 :args _let_193))) (let ((_let_423 (SYMM _let_300))) (let ((_let_424 (SYMM _let_298))) (let ((_let_425 (SYMM _let_264))) (let ((_let_426 (CONG _let_214 _let_425 :args _let_193))) (let ((_let_427 (TRANS _let_227 _let_224 _let_219 (CONG _let_425 (TRANS _let_426 _let_208) :args _let_193)))) (let ((_let_428 (CONG _let_214 _let_427 :args _let_193))) (let ((_let_429 (SYMM _let_426))) (let ((_let_430 (CONG _let_229 (TRANS _let_207 _let_429 _let_428 (SYMM _let_295) _let_209) :args _let_193))) (let ((_let_431 (TRANS _let_202 _let_430 _let_424 _let_204 _let_423 _let_422 _let_195))) (let ((_let_432 (ASSUME :args (_let_412)))) (let ((_let_433 (SYMM _let_432))) (let ((_let_434 (SYMM _let_430))) (let ((_let_435 (SYMM _let_422))) (let ((_let_436 (TRANS _let_208 _let_194 _let_435 _let_300 _let_234 _let_298 _let_434 _let_203))) (let ((_let_437 (ASSUME :args (_let_413)))) (let ((_let_438 (SYMM _let_431))) (let ((_let_439 (TRANS _let_315 _let_194 _let_435 _let_300 _let_234 _let_298 _let_434 _let_203))) (let ((_let_440 (SYMM _let_439))) (let ((_let_441 (and _let_73 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_106))) (let ((_let_442 (CONG _let_229 (TRANS _let_296 _let_295 (CONG _let_214 (TRANS _let_294 _let_218 (CONG _let_222 _let_220 :args _let_193) _let_226) :args _let_193) _let_215 _let_208) :args _let_193))) (let ((_let_443 (CONG (TRANS (CONG _let_303 (TRANS _let_194 _let_302 _let_300 _let_299 _let_298 _let_442 _let_203 _let_288 (CONG _let_283 _let_274 :args _let_193)) :args _let_193) _let_279 _let_277 _let_271) _let_269 :args _let_193))) (let ((_let_444 (CONG _let_303 (TRANS _let_313 (CONG (TRANS (TRANS _let_202 (SYMM _let_442) _let_206 _let_309 _let_201 _let_308 _let_195 _let_207) _let_208) _let_269 :args _let_193)) :args _let_193))) (let ((_let_445 (_let_60))) (let ((_let_446 (ASSUME :args _let_445))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_446 :args _let_151) :args _let_445)) (REORDERING (CNF_OR_POS :args (_let_418)) :args ((or _let_417 _let_416 (not _let_418)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_441)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_212 _let_265 _let_270 _let_275 _let_278 _let_282 _let_286 _let_202 _let_207 _let_225 _let_221 _let_217 _let_210 _let_205 _let_194 _let_200 _let_197 _let_304 _let_311) (SCOPE (TRANS _let_194 _let_302 _let_300 _let_299 _let_298 _let_442 _let_203 _let_275 _let_444 _let_305 _let_443 _let_266 _let_264) :args (_let_74 _let_77 _let_99 _let_104 _let_105 _let_78 _let_101 _let_141 _let_73 _let_134 _let_133 _let_135 _let_142 _let_143 _let_138 _let_137 _let_83 _let_106 _let_100))) :args (_let_73 _let_77 _let_78 _let_74 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_106))) :args (true _let_441)) :args ((or _let_127 _let_260 _let_259 _let_128 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_256 _let_255 _let_254 _let_253 _let_184 _let_183 _let_415 _let_252 _let_251))) _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 (RESOLUTION (CNF_AND_NEG :args (_let_420)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_432 _let_197 _let_202 _let_207 _let_212 _let_225 _let_221 _let_217 _let_210 _let_205 _let_194 _let_200 _let_437 _let_387 _let_236 _let_390 _let_393 _let_395 _let_398 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265 _let_317 _let_314 _let_323 _let_326) (SCOPE (TRANS _let_328 (CONG _let_321 _let_438 :args _let_193) (CONG _let_321 _let_440 :args _let_193) (CONG (TRANS _let_325 (CONG _let_440 _let_321 :args _let_193) _let_318) _let_439 :args _let_193) (CONG (TRANS _let_395 (CONG _let_401 (TRANS _let_237 _let_267 (CONG (TRANS _let_272 _let_371 _let_280 (CONG _let_303 (TRANS _let_370 (SYMM _let_288) _let_202 _let_430 _let_424 _let_204 _let_423 _let_422 _let_195) :args _let_193)) _let_269 :args _let_193) _let_306 (CONG _let_303 (TRANS (CONG _let_438 _let_269 :args _let_193) (SYMM _let_313)) :args _let_193) _let_276 _let_387) :args _let_193) _let_399 _let_397 (CONG (SYMM _let_436) _let_394 :args _let_193) _let_392 (CONG _let_214 (TRANS _let_389 _let_388 _let_223 (CONG _let_425 _let_214 :args _let_193)) :args _let_193) (SYMM _let_437) (CONG _let_436 _let_432 :args _let_193) (CONG _let_301 _let_433 :args _let_193) (CONG _let_421 _let_214 :args _let_193) _let_433) _let_431 :args _let_193)) :args (_let_412 _let_83 _let_141 _let_73 _let_74 _let_134 _let_133 _let_135 _let_142 _let_143 _let_138 _let_137 _let_413 _let_86 _let_76 _let_126 _let_84 _let_91 _let_93 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77 _let_98 _let_66 _let_97 _let_68))) :args (_let_73 _let_76 _let_68 _let_66 _let_77 _let_78 _let_74 _let_83 _let_412 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_84 _let_86 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_142 _let_143 _let_105 _let_413 _let_126 _let_93 _let_106))) :args (true _let_420)) _let_250 _let_379 _let_378 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.sk_c1 tptp.sk_c12 tptp.sk_c1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)) _let_169 :args (_let_413 false _let_56)) _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_242 _let_377 _let_241 _let_376 _let_375 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_419 _let_159 :args ((or _let_127 _let_79 _let_69 _let_67 _let_260 _let_259 _let_128 _let_71) true _let_418 false _let_415 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_414 false _let_106 false _let_93 false _let_126 false _let_413 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_86 false _let_84 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_412 false _let_83)))) (let ((_let_448 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_60 (= X5 X2)))))) (let ((_let_449 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_450 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_451 (= tptp.identity (tptp.multiply _let_24 tptp.sk_c2)))) (let ((_let_452 (not _let_130))) (let ((_let_453 (not _let_131))) (let ((_let_454 (or _let_453 _let_452))) (let ((_let_455 (= _let_24 _let_109))) (let ((_let_456 (= _let_108 (tptp.multiply tptp.identity _let_24)))) (let ((_let_457 (= tptp.sk_c12 (tptp.multiply tptp.sk_c2 _let_24)))) (let ((_let_458 (= tptp.sk_c12 (tptp.multiply _let_24 tptp.sk_c11)))) (let ((_let_459 (not _let_456))) (let ((_let_460 (not _let_455))) (let ((_let_461 (not _let_458))) (let ((_let_462 (not _let_457))) (let ((_let_463 (or _let_462 _let_461 _let_460 _let_459))) (let ((_let_464 (not _let_62))) (let ((_let_465 (tptp.sk_c2 QUANTIFIERS_INST_ENUM))) (let ((_let_466 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args _let_465) :args _let_162)))) (let ((_let_467 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args _let_465) :args _let_157)))) (let ((_let_468 (not _let_451))) (let ((_let_469 (not _let_450))) (let ((_let_470 (and _let_73 _let_74 _let_130 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_471 (true _let_470))) (let ((_let_472 (_let_73 _let_74 _let_130 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_473 (ASSUME :args (_let_451)))) (let ((_let_474 (SYMM _let_473))) (let ((_let_475 (SYMM _let_474))) (let ((_let_476 (SYMM _let_475))) (let ((_let_477 (REFL :args (tptp.sk_c2)))) (let ((_let_478 (ASSUME :args (_let_130)))) (let ((_let_479 (SYMM _let_478))) (let ((_let_480 (SYMM _let_479))) (let ((_let_481 (TRANS _let_227 _let_224 _let_219 (CONG _let_220 _let_216 :args _let_193) (CONG _let_213 _let_196 :args _let_193)))) (let ((_let_482 (CONG _let_229 (TRANS _let_207 _let_228 (CONG _let_214 _let_481 :args _let_193) _let_211 _let_209) :args _let_193))) (let ((_let_483 (TRANS _let_202 _let_482 _let_206 _let_204 _let_201 _let_199 _let_195 _let_480))) (let ((_let_484 (ASSUME :args (_let_450)))) (let ((_let_485 (SYMM _let_484))) (let ((_let_486 (SYMM _let_485))) (let ((_let_487 (CONG (TRANS _let_486 (CONG _let_483 _let_477 :args _let_193) _let_476) :args _let_348))) (let ((_let_488 (CNF_AND_NEG :args (_let_470)))) (let ((_let_489 (SYMM _let_482))) (let ((_let_490 (TRANS _let_475 (CONG (SYMM _let_483) _let_477 :args _let_193) _let_485))) (let ((_let_491 (MACRO_RESOLUTION_TRUST _let_467 _let_156 :args (_let_450 false _let_155)))) (let ((_let_492 (MACRO_RESOLUTION_TRUST _let_466 _let_161 :args (_let_451 false _let_160)))) (let ((_let_493 (and _let_73 _let_74 _let_131 _let_130 _let_62 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_494 (true _let_493))) (let ((_let_495 (_let_73 _let_74 _let_131 _let_130 _let_62 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_496 (CONG _let_490 _let_483 :args _let_193))) (let ((_let_497 (ASSUME :args (_let_62)))) (let ((_let_498 (SYMM _let_497))) (let ((_let_499 (CONG _let_331 (SYMM _let_481) :args _let_193))) (let ((_let_500 (ASSUME :args (_let_131)))) (let ((_let_501 (SYMM _let_500))) (let ((_let_502 (CONG _let_477 _let_479 :args _let_193))) (let ((_let_503 (CONG (TRANS _let_222 (TRANS _let_197 _let_496 _let_502 _let_501)) _let_481 :args _let_193))) (let ((_let_504 (CNF_AND_NEG :args (_let_493)))) (let ((_let_505 (CONG _let_214 _let_264 :args _let_193))) (let ((_let_506 (TRANS (CONG _let_264 _let_196 :args _let_193) (CONG _let_220 (TRANS _let_334 _let_505) :args _let_193) _let_292 _let_291 _let_289))) (let ((_let_507 (CONG _let_229 (TRANS (CONG _let_334 _let_196 :args _let_193) _let_295 (CONG _let_214 _let_506 :args _let_193) (SYMM _let_505) _let_208) :args _let_193))) (let ((_let_508 (CONG _let_197 _let_196 :args _let_193))) (let ((_let_509 (TRANS _let_479 _let_194 _let_508 _let_300 _let_299 _let_298 _let_507 _let_203))) (let ((_let_510 (CONG (TRANS _let_486 (CONG (SYMM _let_509) _let_477 :args _let_193) _let_476) _let_509 :args _let_193))) (let ((_let_511 (CONG _let_477 _let_478 :args _let_193))) (let ((_let_512 (SYMM _let_501))) (let ((_let_513 (and _let_73 _let_74 _let_131 _let_130 _let_62 _let_83 _let_412 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_514 (TRANS _let_202 _let_482 _let_206 _let_204 _let_201 _let_199 _let_195 _let_478))) (let ((_let_515 (TRANS _let_197 (CONG (TRANS _let_475 (CONG (SYMM _let_514) _let_477 :args _let_193) _let_485) _let_514 :args _let_193) _let_502 _let_501))) (let ((_let_516 (CONG (TRANS _let_222 _let_515) _let_481 :args _let_193))) (let ((_let_517 (and _let_73 _let_74 _let_131 _let_130 _let_464 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_450 _let_451 _let_142 _let_143))) (let ((_let_518 (ASSUME :args (_let_464)))) (let ((_let_519 (CONG _let_477 _let_480 :args _let_193))) (let ((_let_520 (CONG _let_229 (TRANS _let_207 _let_429 _let_428 _let_211 _let_209) :args _let_193))) (let ((_let_521 (TRANS _let_202 _let_520 _let_206 _let_204 _let_201 _let_199 _let_195 _let_480))) (let ((_let_522 (TRANS _let_486 (CONG _let_521 _let_477 :args _let_193) _let_476))) (let ((_let_523 (CONG _let_522 (SYMM _let_521) :args _let_193))) (let ((_let_524 (CONG _let_522 :args _let_348))) (let ((_let_525 (and _let_73 _let_77 _let_78 _let_74 _let_131 _let_130 _let_83 _let_133 _let_134 _let_135 _let_137 _let_138 _let_141 _let_99 _let_100 _let_101 _let_104 _let_450 _let_451 _let_142 _let_143 _let_105 _let_106))) (let ((_let_526 (TRANS _let_479 _let_194 _let_302 _let_300 _let_299 _let_298 _let_442 _let_203))) (let ((_let_527 (not _let_81))) (let ((_let_528 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_79 _let_527))))) (let ((_let_529 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_67 _let_72))))) (let ((_let_530 (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_531 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args _let_530) :args _let_150)))) (let ((_let_532 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_446 :args (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_445)))) (let ((_let_533 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_15 tptp.sk_c4 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)) _let_169 :args (_let_95 false _let_56)))) (let ((_let_534 (not _let_95))) (let ((_let_535 (and _let_75 _let_76 _let_83 _let_84 _let_86 _let_88 _let_91 _let_93 _let_95))) (let ((_let_536 (REFL :args (tptp.sk_c12)))) (let ((_let_537 (CONG _let_198 _let_366 :args _let_193))) (let ((_let_538 (CONG _let_197 _let_394 :args _let_193))) (let ((_let_539 (TRANS _let_399 _let_397 _let_538 _let_537 _let_394))) (let ((_let_540 (CONG _let_539 _let_536 :args _let_193))) (let ((_let_541 (SYMM _let_539))) (let ((_let_542 (ASSUME :args (_let_95)))) (let ((_let_543 (SYMM _let_542))) (let ((_let_544 (SYMM _let_388))) (let ((_let_545 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_535)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_367 _let_393 _let_197 _let_395 _let_398 _let_236 _let_542 _let_387 _let_345) (SCOPE (TRANS _let_236 _let_346 (CONG _let_544 _let_232 :args _let_193) (SYMM _let_543) (CONG _let_232 (TRANS (CONG _let_541 _let_237 :args _let_193) _let_540 _let_368) :args _let_193)) :args (_let_75 _let_84 _let_83 _let_91 _let_93 _let_76 _let_95 _let_86 _let_88))) :args (_let_75 _let_76 _let_83 _let_84 _let_86 _let_88 _let_91 _let_93 _let_95))) :args (true _let_535)) :args ((or _let_80 _let_79 _let_191 _let_96 _let_383 _let_382 _let_343 _let_381 _let_380 _let_534))))) (let ((_let_546 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_89 _let_85 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_168)) _let_169 :args (_let_107 false _let_56)))) (let ((_let_547 (not _let_107))) (let ((_let_548 (and _let_73 _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_549 (ASSUME :args (_let_107)))) (let ((_let_550 (SYMM _let_549))) (let ((_let_551 (CONG _let_401 (TRANS _let_346 (CONG _let_544 _let_237 :args _let_193)) :args _let_193))) (let ((_let_552 (TRANS _let_395 _let_551 _let_550 _let_540 _let_368 _let_361))) (let ((_let_553 (CONG (TRANS _let_325 (CONG _let_552 _let_321 :args _let_193) _let_320) :args _let_348))) (let ((_let_554 (CONG (TRANS _let_395 _let_551 _let_550 _let_540 _let_368 _let_361 _let_553) :args _let_348))) (let ((_let_555 (SYMM _let_551))) (let ((_let_556 (SYMM _let_540))) (let ((_let_557 (TRANS _let_208 _let_367 _let_556 _let_549 _let_555 _let_396))) (let ((_let_558 (CONG (TRANS _let_272 _let_371 _let_280 (CONG _let_303 (TRANS _let_370 _let_287 _let_395 _let_551 _let_550 _let_540 _let_368) :args _let_193)) _let_269 :args _let_193))) (let ((_let_559 (MODUS_PONENS (AND_INTRO _let_317 _let_314 _let_367 _let_393 _let_197 _let_395 _let_398 _let_549 _let_387 _let_236 _let_345 _let_323 _let_275 _let_311 _let_207 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_237 _let_267 _let_558 _let_306 (CONG _let_303 (TRANS (CONG (TRANS _let_207 _let_557) _let_269 :args _let_193) _let_312) :args _let_193) _let_276 _let_395 _let_551 _let_550 _let_540 _let_368 _let_361 _let_553 _let_554) :args (_let_98 _let_66 _let_75 _let_84 _let_83 _let_91 _let_93 _let_107 _let_86 _let_76 _let_88 _let_97 _let_104 _let_100 _let_73 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))))) (let ((_let_560 (and _let_73 _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_113 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_561 (SCOPE (TRANS _let_359 _let_358 _let_356 (SYMM (ASSUME :args (_let_110))) _let_346) :args (_let_88 _let_110 _let_355 _let_113 _let_354)))) (let ((_let_562 (CONG _let_552 :args _let_348))) (let ((_let_563 (MODUS_PONENS (AND_INTRO _let_357 _let_314 _let_367 _let_393 _let_197 _let_395 _let_398 _let_549 _let_387 _let_236 _let_345) (SCOPE (TRANS _let_562 _let_360) :args (_let_113 _let_66 _let_75 _let_84 _let_83 _let_91 _let_93 _let_107 _let_86 _let_76 _let_88))))) (let ((_let_564 (MODUS_PONENS (AND_INTRO _let_314 _let_367 _let_393 _let_197 _let_395 _let_398 _let_549 _let_387 _let_236 _let_345 _let_323 _let_317) (SCOPE (TRANS (CONG (TRANS (CONG (TRANS _let_319 (CONG (SYMM _let_552) _let_321 :args _let_193) _let_324) :args _let_348) _let_315 _let_367 _let_556 _let_549 _let_555 _let_396) :args _let_348) _let_562) :args (_let_66 _let_75 _let_84 _let_83 _let_91 _let_93 _let_107 _let_86 _let_76 _let_88 _let_97 _let_98))))) (let ((_let_565 (and _let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_95 _let_107))) (let ((_let_566 (CONG (SYMM _let_544) _let_232 :args _let_193))) (let ((_let_567 (CONG _let_539 _let_236 :args _let_193))) (let ((_let_568 (CONG _let_541 _let_536 :args _let_193))) (let ((_let_569 (CONG _let_232 (TRANS _let_369 _let_568 _let_567) :args _let_193))) (let ((_let_570 (CONG _let_236 _let_196 :args _let_193))) (let ((_let_571 (SYMM _let_568))) (let ((_let_572 (TRANS _let_395 _let_551 _let_550 _let_571 _let_368))) (let ((_let_573 (TRANS _let_315 _let_369 _let_568 _let_549 _let_555 _let_396))) (let ((_let_574 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_565)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_542 _let_278 _let_311 _let_265 _let_282 _let_304 _let_387 _let_367 _let_345 _let_236 _let_326 _let_549 _let_393 _let_275 _let_323 _let_286 _let_314 _let_197 _let_270 _let_395 _let_398 _let_317) (SCOPE (TRANS _let_369 _let_568 _let_549 _let_555 _let_396 _let_275 (CONG _let_303 (TRANS _let_313 (CONG _let_572 _let_269 :args _let_193)) :args _let_193) _let_307 (CONG (TRANS (CONG _let_303 (TRANS _let_369 _let_568 _let_549 _let_555 _let_396 _let_288 _let_285) :args _let_193) _let_281 _let_277 _let_273) _let_269 :args _let_193) _let_268 _let_236 _let_346 (CONG (TRANS _let_197 (CONG (TRANS _let_319 (CONG _let_573 _let_321 :args _let_193) _let_324) (SYMM _let_573) :args _let_193) (CONG _let_321 _let_573 :args _let_193) (CONG _let_321 _let_572 :args _let_193) _let_327) (TRANS _let_346 (SYMM _let_566) _let_542 (SYMM _let_569) (SYMM _let_570)) :args _let_193) (CONG _let_331 (TRANS _let_570 _let_569 _let_543 _let_566 (SYMM _let_346) _let_237) :args _let_193)) :args (_let_95 _let_105 _let_100 _let_77 _let_78 _let_106 _let_86 _let_75 _let_88 _let_76 _let_68 _let_107 _let_84 _let_104 _let_97 _let_101 _let_66 _let_83 _let_99 _let_91 _let_93 _let_98))) :args (_let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_95 _let_107))) :args (true _let_565)) :args ((or _let_62 _let_80 _let_79 _let_69 _let_67 _let_260 _let_259 _let_191 _let_383 _let_382 _let_343 _let_258 _let_381 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_380 _let_251 _let_534 _let_547))))) (let ((_let_575 (and _let_73 _let_75 _let_76 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_91 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_576 (CONG _let_539 _let_238 :args _let_193))) (let ((_let_577 (CONG (TRANS _let_272 _let_371 _let_280 (CONG _let_303 (TRANS _let_370 _let_287 _let_395 _let_551 _let_550 _let_571 _let_368) :args _let_193)) _let_269 :args _let_193))) (let ((_let_578 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_410 :args _let_530) :args _let_409))))) (let ((_let_579 (and _let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_580 (true _let_579))) (let ((_let_581 (_let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_582 (TRANS _let_395 _let_551 _let_550 _let_540 _let_368))) (let ((_let_583 (CONG _let_321 _let_582 :args _let_193))) (let ((_let_584 (TRANS _let_315 _let_367 _let_556 _let_549 _let_555 _let_396))) (let ((_let_585 (CONG _let_321 _let_584 :args _let_193))) (let ((_let_586 (CONG (TRANS _let_319 (CONG _let_584 _let_321 :args _let_193) _let_324) (SYMM _let_584) :args _let_193))) (let ((_let_587 (CONG _let_303 (TRANS (CONG (SYMM _let_582) _let_269 :args _let_193) _let_312) :args _let_193))) (let ((_let_588 (TRANS _let_237 _let_267 _let_558 _let_306 _let_587 _let_276 _let_197 _let_586 _let_585 _let_583 _let_327))) (let ((_let_589 (CNF_AND_NEG :args (_let_579)))) (let ((_let_590 (RESOLUTION _let_589 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_278 _let_311 _let_265 _let_282 _let_304 _let_387 _let_367 _let_345 _let_236 _let_326 _let_549 _let_393 _let_275 _let_323 _let_286 _let_314 _let_197 _let_270 _let_395 _let_398 _let_317) (SCOPE _let_588 :args (_let_105 _let_100 _let_77 _let_78 _let_106 _let_86 _let_75 _let_88 _let_76 _let_68 _let_107 _let_84 _let_104 _let_97 _let_101 _let_66 _let_83 _let_99 _let_91 _let_93 _let_98))) :args _let_581)) :args _let_580))) (let ((_let_591 (and _let_73 _let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_126 _let_93 _let_106 _let_107))) (let ((_let_592 (not _let_125))) (let ((_let_593 (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_124 _let_122 _let_592))))) (let ((_let_594 (MACRO_RESOLUTION_TRUST _let_593 (RESOLUTION (CNF_AND_NEG :args (_let_591)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_393 _let_197 _let_395 _let_345 _let_387 _let_236 _let_549 _let_398 _let_367 _let_207 _let_390 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265 _let_326 _let_314 _let_323 _let_317) (SCOPE (TRANS _let_267 _let_558 _let_306 _let_587 _let_276 _let_197 (CONG (TRANS _let_395 _let_551 _let_550 _let_540 _let_368 _let_207 (CONG _let_214 _let_236 :args _let_193) (CONG _let_214 (TRANS _let_237 _let_267 _let_558 _let_306 _let_587 _let_276 _let_395 _let_551 _let_550 _let_540 _let_368) :args _let_193) (CONG _let_214 (TRANS _let_367 _let_556 _let_549 _let_555 _let_396 _let_544 (CONG _let_237 _let_366 :args _let_193)) :args _let_193) _let_391 (CONG _let_557 _let_393 :args _let_193) _let_538 _let_537 _let_394) (TRANS _let_197 _let_586 _let_585 _let_583 _let_327) :args _let_193)) :args (_let_84 _let_83 _let_91 _let_88 _let_86 _let_76 _let_107 _let_93 _let_75 _let_73 _let_126 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77 _let_68 _let_66 _let_97 _let_98))) :args (_let_73 _let_75 _let_76 _let_68 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_126 _let_93 _let_106 _let_107))) :args (true _let_591)) _let_546 _let_250 _let_379 _let_378 _let_249 _let_248 _let_247 _let_246 _let_244 _let_242 _let_377 _let_241 _let_342 _let_376 _let_375 _let_159 _let_590 _let_546 _let_250 _let_379 _let_249 _let_248 _let_247 _let_246 _let_244 _let_242 _let_377 _let_241 _let_342 _let_376 _let_375 _let_159 _let_578 _let_449 _let_408 _let_404 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_575)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_393 _let_197 _let_395 _let_398 _let_236 _let_549 _let_387 _let_345 _let_275 _let_311 _let_367 _let_207 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_let_248 _let_247 _let_246 _let_244 _let_242 _let_377 _let_241 _let_342 _let_376 _let_375 _let_159 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_560)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_345 _let_559 _let_564 _let_357 _let_563) _let_561) :args (_let_73 _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_113 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) :args (true _let_560)) :args ((or _let_127 _let_80 _let_79 _let_67 _let_260 _let_259 _let_191 _let_114 _let_383 _let_382 _let_343 _let_258 _let_381 _let_257 _let_256 _let_255 _let_352 _let_254 _let_253 _let_252 _let_380 _let_251 _let_547))) _let_546 _let_250 _let_379 _let_249 _let_248 _let_247 _let_351 _let_246 _let_244 _let_242 _let_377 _let_241 _let_342 _let_376 _let_375 _let_159 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_548)) (IMPLIES_ELIM (SCOPE _let_559 :args (_let_73 _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 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false _let_135 false _let_137 false _let_138 false _let_141 false _let_450 false _let_155 false _let_451 false _let_160 false _let_142 false _let_143 false _let_56 true _let_59 true _let_61 true _let_60 true _let_454 true _let_63 true _let_129)) :args ((or _let_127 _let_128 _let_453 _let_452) false _let_106 false _let_105 false _let_143 false _let_142 false _let_451 false _let_450 false _let_104 false _let_101 false _let_100 false _let_99 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 true _let_145 false _let_143 false _let_142 false _let_451 false _let_450 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_78 false _let_77 true _let_62)) (MACRO_RESOLUTION_TRUST _let_449 _let_448 _let_447 _let_411 _let_408 _let_405 _let_404 _let_402 _let_250 _let_379 _let_378 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_242 _let_377 _let_241 _let_376 _let_375 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_373 _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_364 _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_351 _let_246 _let_244 _let_242 _let_241 _let_342 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_350 _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_242 _let_241 _let_342 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_341 _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_242 _let_241 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_330 _let_250 _let_249 _let_182 _let_180 _let_248 _let_247 _let_246 _let_244 _let_242 _let_241 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 _let_239 _let_182 _let_180 _let_178 _let_176 _let_173 _let_171 _let_167 _let_165 _let_159 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_77 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_66 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_68 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_76 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_75 _let_130))) _let_154 _let_153 _let_149 :args ((or _let_130 _let_127 _let_128) true _let_59 true _let_60 true _let_65 true _let_64 true _let_148 true _let_120 false _let_144 false _let_106 false _let_93 false _let_126 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_86 false _let_84 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_115 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_110 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_113 false _let_100 false _let_99 false _let_98 false _let_97 false _let_88 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_114 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_88 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_62 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_145 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_96 false _let_143 false _let_142 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_78 false _let_77 false _let_66 false _let_68 false _let_76 false _let_75 true _let_61 true _let_63 true _let_129)) _let_154 _let_153 _let_149 :args (_let_129 true _let_64 true _let_65 true _let_120 true _let_148 true _let_59 false _let_145 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_62 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_114 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_88 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_110 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_113 false _let_100 false _let_99 false _let_98 false _let_97 false _let_88 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_115 false _let_106 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_144 false _let_106 false _let_93 false _let_126 false _let_105 false _let_143 false _let_142 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_86 false _let_84 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 true _let_60 false _let_96 false _let_143 false _let_142 false _let_141 false _let_138 false _let_137 false _let_135 false _let_134 false _let_133 false _let_83 false _let_78 false _let_77 false _let_66 false _let_68 false _let_76 false _let_75 true _let_131 false _let_130 true _let_61 true _let_63 true _let_129)) :args (_let_127 false _let_123 false _let_107 false _let_106 false _let_93 false _let_126 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_88 false _let_86 false _let_84 false _let_83 false _let_121 false _let_107 false _let_106 false _let_93 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_88 false _let_86 false _let_84 false _let_83 false _let_125 false _let_65 true _let_64 true _let_120 false _let_115 false _let_107 false _let_106 false _let_93 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_91 false _let_88 false _let_86 false _let_84 false _let_83 false _let_62 false _let_107 false _let_95 false _let_106 false _let_93 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_88 false _let_86 false _let_84 false _let_83 false _let_114 false _let_107 false _let_106 false _let_93 false _let_105 false _let_104 false _let_101 false _let_113 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_88 false _let_86 false _let_84 false _let_83 false _let_110 false _let_107 false _let_106 false _let_93 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_91 false _let_97 false _let_88 false _let_86 false _let_84 false _let_83 false _let_96 false _let_95 false _let_93 false _let_91 false _let_88 false _let_86 false _let_84 false _let_83 true _let_59 true _let_61 true _let_60 true _let_63 true _let_70 true _let_81 false _let_78 false _let_77 false _let_66 false _let_68 false _let_76 false _let_75 true _let_74)))) (let ((_let_595 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_66 true _let_73)))) (let ((_let_596 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_68 true _let_73)))) (let ((_let_597 (MACRO_RESOLUTION_TRUST _let_532 (MACRO_RESOLUTION_TRUST _let_529 _let_596 _let_595 :args (_let_72 false _let_68 false _let_66)) :args (_let_71 true _let_70)))) (let ((_let_598 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO :args (_let_54 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_76 true _let_73)))) (let ((_let_599 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_75 true _let_73)))) (let ((_let_600 (MACRO_RESOLUTION_TRUST _let_531 (MACRO_RESOLUTION_TRUST _let_528 _let_599 _let_598 :args (_let_527 false _let_75 false _let_76)) :args ((not _let_63) true _let_81)))) (let ((_let_601 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_78 true _let_73)))) (let ((_let_602 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) _let_594 :args (_let_77 true _let_73)))) (let ((_let_603 (and _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_113 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_604 (MODUS_PONENS (AND_INTRO _let_317 _let_314 _let_367 _let_393 _let_197 _let_395 _let_398 _let_549 _let_387 _let_236 _let_345 _let_323 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_237 _let_267 _let_558 _let_306 (CONG _let_303 (TRANS (CONG (TRANS _let_367 _let_556 _let_549 _let_555 _let_396) _let_269 :args _let_193) _let_312) :args _let_193) _let_276 _let_395 _let_551 _let_550 _let_540 _let_368 _let_361 _let_553 _let_554) :args (_let_98 _let_66 _let_75 _let_84 _let_83 _let_91 _let_93 _let_107 _let_86 _let_76 _let_88 _let_97 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))))) (let ((_let_605 (and _let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (let ((_let_606 (and _let_75 _let_76 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_91 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_449 (MACRO_RESOLUTION_TRUST _let_578 (MACRO_RESOLUTION_TRUST _let_593 (MACRO_RESOLUTION_TRUST (RESOLUTION _let_589 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_326 _let_367 _let_393 _let_197 _let_395 _let_398 _let_549 _let_387 _let_236 _let_345 _let_314 _let_323 _let_317 _let_275 _let_311 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_267 _let_558 _let_306 _let_587 _let_276 _let_395 _let_551 _let_550 _let_567 (CONG _let_366 _let_588 :args _let_193)) :args (_let_68 _let_75 _let_84 _let_83 _let_91 _let_93 _let_107 _let_86 _let_76 _let_88 _let_66 _let_97 _let_98 _let_104 _let_100 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))) :args _let_581)) :args _let_580) _let_599 _let_598 _let_596 _let_595 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_241 _let_377 _let_242 _let_244 _let_246 _let_247 _let_248 _let_249 _let_379 _let_250 _let_546 :args (_let_123 false _let_75 false _let_76 false _let_68 false _let_66 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_97 false _let_91 false _let_98 false _let_99 false _let_100 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_107)) (MACRO_RESOLUTION_TRUST _let_590 _let_599 _let_598 _let_596 _let_595 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_241 _let_377 _let_242 _let_244 _let_246 _let_247 _let_248 _let_249 _let_379 _let_250 _let_546 :args (_let_121 false _let_75 false _let_76 false _let_68 false _let_66 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_97 false _let_91 false _let_98 false _let_99 false _let_100 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_107)) :args (_let_592 false _let_123 false _let_121)) :args ((not _let_65) true _let_125)) (MACRO_RESOLUTION_TRUST _let_408 (MACRO_RESOLUTION_TRUST _let_404 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_606)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_393 _let_197 _let_395 _let_398 _let_236 _let_549 _let_387 _let_345 _let_275 _let_311 _let_367 _let_304 _let_286 _let_282 _let_278 _let_270 _let_265) (SCOPE (TRANS _let_267 _let_577 _let_306 (CONG _let_303 (TRANS (CONG (TRANS _let_369 _let_568 _let_549 _let_555 _let_396) _let_269 :args _let_193) _let_312) :args _let_193) _let_276 _let_395 _let_551 _let_550 _let_576) :args (_let_84 _let_83 _let_91 _let_93 _let_76 _let_107 _let_86 _let_88 _let_104 _let_100 _let_75 _let_106 _let_101 _let_78 _let_105 _let_99 _let_77))) :args (_let_75 _let_76 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_91 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) :args (true _let_606)) :args ((or _let_80 _let_79 _let_260 _let_259 _let_191 _let_115 _let_383 _let_382 _let_343 _let_381 _let_256 _let_255 _let_254 _let_253 _let_252 _let_380 _let_251 _let_547))) _let_599 _let_598 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_377 _let_244 _let_246 _let_247 _let_248 _let_249 _let_379 _let_250 _let_546 :args (_let_115 false _let_75 false _let_76 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_91 false _let_99 false _let_100 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_107)) (MACRO_RESOLUTION_TRUST _let_545 _let_599 _let_598 _let_159 _let_375 _let_376 _let_342 _let_377 _let_379 _let_533 :args (_let_96 false _let_75 false _let_76 false _let_83 false _let_84 false _let_86 false _let_88 false _let_91 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_605)) (IMPLIES_ELIM (SCOPE _let_604 :args (_let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) :args (true _let_605)) :args ((or _let_80 _let_79 _let_67 _let_260 _let_259 _let_191 _let_110 _let_383 _let_382 _let_343 _let_258 _let_381 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_380 _let_251 _let_547))) _let_599 _let_598 _let_595 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_241 _let_377 _let_242 _let_244 _let_246 _let_247 _let_248 _let_249 _let_379 _let_250 _let_546 :args (_let_110 false _let_75 false _let_76 false _let_66 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_97 false _let_91 false _let_98 false _let_99 false _let_100 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_603)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_345 _let_604 _let_564 _let_357 _let_563) _let_561) :args (_let_75 _let_76 _let_66 _let_77 _let_78 _let_83 _let_84 _let_86 _let_88 _let_97 _let_91 _let_98 _let_99 _let_100 _let_113 _let_101 _let_104 _let_105 _let_93 _let_106 _let_107))) :args (true _let_603)) :args ((or _let_80 _let_79 _let_67 _let_260 _let_259 _let_191 _let_114 _let_383 _let_382 _let_343 _let_258 _let_381 _let_257 _let_256 _let_255 _let_352 _let_254 _let_253 _let_252 _let_380 _let_251 _let_547))) _let_599 _let_598 _let_595 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_241 _let_377 _let_242 _let_244 _let_246 _let_351 _let_247 _let_248 _let_249 _let_379 _let_250 _let_546 :args (_let_114 false _let_75 false _let_76 false _let_66 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_97 false _let_91 false _let_98 false _let_99 false _let_100 false _let_113 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_107)) :args (_let_403 false _let_115 false _let_96 false _let_110 false _let_114)) :args ((not _let_64) true _let_120)) _let_600 (MACRO_RESOLUTION_TRUST _let_574 _let_599 _let_598 _let_596 _let_595 _let_602 _let_601 _let_159 _let_375 _let_376 _let_342 _let_241 _let_377 _let_242 _let_244 _let_246 _let_247 _let_248 _let_249 _let_379 _let_250 _let_533 _let_546 :args (_let_62 false _let_75 false _let_76 false _let_68 false _let_66 false _let_77 false _let_78 false _let_83 false _let_84 false _let_86 false _let_88 false _let_97 false _let_91 false _let_98 false _let_99 false _let_100 false _let_101 false _let_104 false _let_105 false _let_93 false _let_106 false _let_95 false _let_107)) (MACRO_RESOLUTION_TRUST _let_154 _let_600 :args ((not _let_61) true _let_63)) _let_597 (MACRO_RESOLUTION_TRUST _let_448 _let_597 :args ((not _let_59) true _let_60)) :args (false true _let_65 true _let_64 true _let_63 false _let_62 true _let_61 true _let_60 true _let_59)) :args (_let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 (or _let_49 _let_6) (or _let_49 _let_5) (or _let_49 _let_4) (or _let_49 _let_2) _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 (or _let_41 _let_6) (or _let_41 _let_5) (or _let_41 _let_4) (or _let_41 _let_2) _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 (or _let_33 _let_6) (or _let_33 _let_5) (or _let_33 _let_4) (or _let_33 _let_2) _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 (or _let_25 _let_6) (or _let_25 _let_5) (or _let_25 _let_4) (or _let_25 _let_2) (or _let_21 _let_18) (or _let_21 _let_16) (or _let_21 _let_14) (or _let_21 _let_12) _let_23 _let_22 (or _let_21 _let_6) (or _let_21 _let_5) (or _let_21 _let_4) (or _let_21 _let_2) (or _let_19 _let_18) (or _let_19 _let_16) (or _let_19 _let_14) (or _let_19 _let_12) (or _let_19 _let_10) (or _let_19 _let_8) (or _let_19 _let_6) (or _let_19 _let_5) (or _let_19 _let_4) (or _let_19 _let_2) (or _let_3 _let_18) (or _let_3 _let_16) (or _let_3 _let_14) (or _let_3 _let_12) (or _let_3 _let_10) (or _let_3 _let_8) (or _let_3 _let_6) (or _let_3 _let_5) (or _let_3 _let_4) (or _let_3 _let_2) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.68/11.11  )
% 10.68/11.11  % SZS output end Proof for GRP258-1
% 10.68/11.12  % cvc5---1.0.5 exiting
% 10.68/11.12  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------