TSTP Solution File: GRP318-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP318-1 : 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 00:25:36 EDT 2023

% Result   : Unsatisfiable 10.66s 10.95s
% Output   : Proof 10.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.36  % Computer : n026.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit   : 300
% 0.18/0.36  % WCLimit    : 300
% 0.18/0.36  % DateTime   : Mon Aug 28 21:27:05 EDT 2023
% 0.18/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.T2tXnMTPcd/cvc5---1.0.5_32450.p...
% 0.22/0.51  ------- get file name : TPTP file name is GRP318-1
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32450.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.64/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.66/10.95  % SZS status Unsatisfiable for GRP318-1
% 10.66/10.95  % SZS output start Proof for GRP318-1
% 10.66/10.97  (
% 10.66/10.97  (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 tptp.sk_c11 tptp.sk_c12) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c12)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c12 X5) tptp.sk_c11)) (not (= (tptp.multiply X6 tptp.sk_c12) X5)) (not (= (tptp.inverse X6) tptp.sk_c12)) (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_c2))) (let ((_let_4 (= _let_3 tptp.sk_c12))) (let ((_let_5 (= (tptp.inverse tptp.sk_c7) tptp.sk_c9))) (let ((_let_6 (= (tptp.inverse tptp.sk_c8) tptp.sk_c7))) (let ((_let_7 (= (tptp.multiply tptp.sk_c9 tptp.sk_c11) tptp.sk_c12))) (let ((_let_8 (tptp.inverse tptp.sk_c6))) (let ((_let_9 (= _let_8 tptp.sk_c9))) (let ((_let_10 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (let ((_let_11 (= _let_10 tptp.sk_c12))) (let ((_let_12 (tptp.inverse tptp.sk_c5))) (let ((_let_13 (= _let_12 tptp.sk_c11))) (let ((_let_14 (tptp.multiply tptp.sk_c5 tptp.sk_c11))) (let ((_let_15 (= _let_14 tptp.sk_c10))) (let ((_let_16 (tptp.inverse tptp.sk_c4))) (let ((_let_17 (= _let_16 tptp.sk_c12))) (let ((_let_18 (or _let_4 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c4 tptp.sk_c12))) (let ((_let_20 (= _let_19 tptp.sk_c11))) (let ((_let_21 (or _let_4 _let_20))) (let ((_let_22 (tptp.multiply tptp.sk_c2 tptp.sk_c12))) (let ((_let_23 (= _let_22 tptp.sk_c3))) (let ((_let_24 (or _let_23 _let_17))) (let ((_let_25 (or _let_23 _let_20))) (let ((_let_26 (tptp.multiply tptp.sk_c12 tptp.sk_c3))) (let ((_let_27 (= _let_26 tptp.sk_c11))) (let ((_let_28 (or _let_27 _let_17))) (let ((_let_29 (or _let_27 _let_20))) (let ((_let_30 (tptp.inverse tptp.sk_c1))) (let ((_let_31 (= _let_30 tptp.sk_c11))) (let ((_let_32 (or _let_31 _let_13))) (let ((_let_33 (or _let_31 _let_15))) (let ((_let_34 (or _let_31 _let_17))) (let ((_let_35 (or _let_31 _let_20))) (let ((_let_36 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (let ((_let_37 (= _let_36 tptp.sk_c12))) (let ((_let_38 (or _let_37 _let_13))) (let ((_let_39 (or _let_37 _let_15))) (let ((_let_40 (or _let_37 _let_17))) (let ((_let_41 (or _let_37 _let_20))) (let ((_let_42 (tptp.multiply tptp.sk_c11 tptp.sk_c12))) (let ((_let_43 (= _let_42 tptp.sk_c10))) (let ((_let_44 (or _let_43 _let_9))) (let ((_let_45 (or _let_43 _let_11))) (let ((_let_46 (or _let_43 _let_13))) (let ((_let_47 (or _let_43 _let_15))) (let ((_let_48 (or _let_43 _let_17))) (let ((_let_49 (or _let_43 _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.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_54 (tptp.multiply tptp.identity tptp.sk_c12))) (let ((_let_55 (= tptp.sk_c12 _let_54))) (let ((_let_56 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (let ((_let_57 (tptp.inverse tptp.sk_c11))) (let ((_let_58 (tptp.multiply _let_57 tptp.sk_c11))) (let ((_let_59 (= tptp.identity _let_58))) (let ((_let_60 (tptp.inverse tptp.sk_c12))) (let ((_let_61 (tptp.multiply _let_60 tptp.sk_c12))) (let ((_let_62 (= tptp.identity _let_61))) (let ((_let_63 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_64 (tptp.multiply _let_16 tptp.sk_c4))) (let ((_let_65 (= tptp.identity _let_64))) (let ((_let_66 (= tptp.identity (tptp.multiply _let_12 tptp.sk_c5)))) (let ((_let_67 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_68 (tptp.multiply _let_8 tptp.sk_c6))) (let ((_let_69 (= tptp.identity _let_68))) (let ((_let_70 (tptp.inverse tptp.sk_c9))) (let ((_let_71 (tptp.multiply _let_70 tptp.sk_c9))) (let ((_let_72 (= tptp.identity _let_71))) (let ((_let_73 (= (tptp.multiply _let_64 tptp.sk_c12) (tptp.multiply _let_16 _let_19)))) (let ((_let_74 (= (tptp.multiply _let_68 tptp.sk_c9) (tptp.multiply _let_8 _let_10)))) (let ((_let_75 (= (tptp.multiply _let_71 tptp.sk_c12) (tptp.multiply _let_70 (tptp.multiply tptp.sk_c9 tptp.sk_c12))))) (let ((_let_76 (tptp.multiply tptp.sk_c12 tptp.sk_c11))) (let ((_let_77 (= (tptp.multiply _let_61 tptp.sk_c11) (tptp.multiply _let_60 _let_76)))) (let ((_let_78 (= tptp.sk_c10 _let_42))) (let ((_let_79 (= tptp.sk_c11 _let_19))) (let ((_let_80 (= tptp.sk_c12 _let_16))) (let ((_let_81 (= tptp.sk_c10 _let_14))) (let ((_let_82 (= tptp.sk_c11 _let_12))) (let ((_let_83 (= tptp.sk_c12 _let_10))) (let ((_let_84 (= tptp.sk_c9 _let_8))) (let ((_let_85 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_87)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_88 _let_86 :args (_let_53 false _let_85)))) (let ((_let_90 (tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_91 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_90) :args _let_87)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST _let_91 _let_86 :args (_let_55 false _let_85)))) (let ((_let_93 (tptp.sk_c11 QUANTIFIERS_INST_ENUM))) (let ((_let_94 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_93) :args _let_87)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST _let_94 _let_86 :args (_let_56 false _let_85)))) (let ((_let_96 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_93) :args _let_98)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST _let_99 _let_97 :args (_let_59 false _let_96)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk_c12 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_62 false _let_96)))) (let ((_let_102 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_102) :args _let_87)) _let_86 :args (_let_63 false _let_85)))) (let ((_let_104 (tptp.sk_c4 QUANTIFIERS_INST_ENUM))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_104) :args _let_98)) _let_97 :args (_let_65 false _let_96)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_102) :args _let_98)) _let_97 :args (_let_66 false _let_96)))) (let ((_let_107 (tptp.sk_c9 QUANTIFIERS_INST_ENUM))) (let ((_let_108 (_let_50))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_16 tptp.sk_c4 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)) _let_109 :args (_let_73 false _let_50)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_60 tptp.sk_c12 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)) _let_109 :args (_let_77 false _let_50)))) (let ((_let_112 (= tptp.sk_c11 _let_30))) (let ((_let_113 (= tptp.sk_c12 _let_36))) (let ((_let_114 (not _let_80))) (let ((_let_115 (not _let_79))) (let ((_let_116 (or _let_115 _let_114))) (let ((_let_117 (= tptp.sk_c10 (tptp.multiply _let_16 tptp.sk_c11)))) (let ((_let_118 (= tptp.sk_c12 _let_76))) (let ((_let_119 (tptp.inverse _let_16))) (let ((_let_120 (= _let_57 _let_119))) (let ((_let_121 (tptp.multiply tptp.identity tptp.sk_c4))) (let ((_let_122 (= tptp.sk_c4 _let_121))) (let ((_let_123 (= (tptp.multiply (tptp.multiply tptp.sk_c12 tptp.identity) tptp.sk_c4) (tptp.multiply tptp.sk_c12 _let_121)))) (let ((_let_124 (= _let_16 (tptp.multiply tptp.sk_c4 _let_57)))) (let ((_let_125 (= tptp.sk_c11 _let_60))) (let ((_let_126 (= tptp.sk_c11 _let_119))) (let ((_let_127 (= tptp.sk_c12 (tptp.multiply tptp.sk_c11 _let_57)))) (let ((_let_128 (= tptp.sk_c11 (tptp.multiply tptp.sk_c12 _let_19)))) (let ((_let_129 (= tptp.sk_c12 _let_58))) (let ((_let_130 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X1 tptp.sk_c12))) (not (= tptp.sk_c12 (tptp.inverse X1))))))) (let ((_let_131 (not _let_124))) (let ((_let_132 (not _let_120))) (let ((_let_133 (not _let_129))) (let ((_let_134 (not _let_127))) (let ((_let_135 (or _let_134 _let_133 _let_132 _let_131))) (let ((_let_136 (not _let_125))) (let ((_let_137 (not _let_118))) (let ((_let_138 (or _let_137 _let_136))) (let ((_let_139 (not _let_126))) (let ((_let_140 (not _let_117))) (let ((_let_141 (or _let_140 _let_139))) (let ((_let_142 (not _let_128))) (let ((_let_143 (or _let_142 _let_114))) (let ((_let_144 (forall ((X7 $$unsorted) (X8 $$unsorted)) (let ((_let_1 (tptp.inverse X7))) (let ((_let_2 (tptp.inverse X8))) (or (not (= tptp.sk_c12 (tptp.multiply X7 _let_1))) (not (= tptp.sk_c12 (tptp.multiply _let_1 tptp.sk_c11))) (not (= _let_1 (tptp.inverse _let_2))) (not (= _let_2 (tptp.multiply X8 _let_1))))))))) (let ((_let_145 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c12 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))) (let ((_let_146 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X2))))))) (let ((_let_147 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c12 (tptp.multiply X6 tptp.sk_c12)))) (not (= tptp.sk_c12 (tptp.inverse X6))))))) (let ((_let_148 (not _let_78))) (let ((_let_149 (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_114 (not _let_116)))))) (let ((_let_150 (_let_130))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_104) :args _let_150)))) (let ((_let_153 (and _let_79 _let_80 _let_55 _let_65 _let_73))) (let ((_let_154 (APPLY_UF tptp.multiply))) (let ((_let_155 (ASSUME :args (_let_79)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_80)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (CONG _let_162 _let_158 :args _let_154))) (let ((_let_164 (ASSUME :args (_let_73)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (tptp.sk_c12)))) (let ((_let_168 (ASSUME :args (_let_65)))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (CONG _let_170 _let_167 :args _let_154))) (let ((_let_172 (ASSUME :args (_let_55)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (TRANS _let_174 _let_171 _let_166 _let_163))) (let ((_let_176 (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_155 _let_164 _let_168 _let_172) (SCOPE _let_175 :args (_let_80 _let_79 _let_73 _let_65 _let_55))) :args (_let_79 _let_80 _let_55 _let_65 _let_73))) :args (true _let_153)))) (let ((_let_177 (not _let_77))) (let ((_let_178 (not _let_73))) (let ((_let_179 (not _let_65))) (let ((_let_180 (not _let_62))) (let ((_let_181 (not _let_56))) (let ((_let_182 (not _let_55))) (let ((_let_183 (not _let_53))) (let ((_let_184 (and _let_78 _let_79 _let_80 _let_53 _let_55 _let_56 _let_62 _let_65 _let_73 _let_77))) (let ((_let_185 (ASSUME :args (_let_62)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (SYMM _let_171))) (let ((_let_188 (CONG _let_161 _let_157 :args _let_154))) (let ((_let_189 (REFL :args (_let_60)))) (let ((_let_190 (ASSUME :args (_let_77)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (ASSUME :args (_let_56)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (CONG _let_185 _let_194 :args _let_154))) (let ((_let_196 (ASSUME :args (_let_53)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (CONG _let_197 _let_193 :args _let_154))) (let ((_let_199 (REFL :args (tptp.sk_c11)))) (let ((_let_200 (CONG _let_196 _let_199 :args _let_154))) (let ((_let_201 (ASSUME :args (_let_78)))) (let ((_let_202 (SYMM (SYMM _let_201)))) (let ((_let_203 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_164 _let_168 _let_185 _let_172 _let_159 _let_190 _let_193 _let_196 _let_201) (SCOPE (TRANS _let_202 (CONG (TRANS _let_193 _let_200 _let_198 _let_195 _let_192 (CONG _let_189 (TRANS _let_188 _let_165 _let_187 _let_173) :args _let_154) _let_186) _let_167 :args _let_154) _let_171 _let_166 (CONG (REFL :args (_let_16)) _let_158 :args _let_154)) :args (_let_79 _let_73 _let_65 _let_62 _let_55 _let_80 _let_77 _let_56 _let_53 _let_78))) :args (_let_78 _let_79 _let_80 _let_53 _let_55 _let_56 _let_62 _let_65 _let_73 _let_77))) :args (true _let_184)) :args ((or _let_148 _let_115 _let_114 _let_183 _let_182 _let_181 _let_180 _let_179 _let_117 _let_178 _let_177))))) (let ((_let_204 (not _let_66))) (let ((_let_205 (not _let_63))) (let ((_let_206 (not _let_59))) (let ((_let_207 (not _let_82))) (let ((_let_208 (not _let_81))) (let ((_let_209 (and _let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_59 _let_62 _let_63 _let_65 _let_66 _let_73 _let_77))) (let ((_let_210 (ASSUME :args (_let_59)))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (CONG _let_189 (TRANS _let_188 _let_165 (CONG _let_169 _let_167 :args _let_154) _let_173) :args _let_154))) (let ((_let_214 (TRANS _let_193 _let_200 _let_198 _let_195 _let_192 _let_213 _let_186))) (let ((_let_215 (ASSUME :args (_let_66)))) (let ((_let_216 (SYMM (SYMM _let_215)))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (REFL :args (tptp.sk_c5)))) (let ((_let_219 (ASSUME :args (_let_82)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (SYMM _let_200))) (let ((_let_223 (SYMM _let_198))) (let ((_let_224 (ASSUME :args (_let_63)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (ASSUME :args (_let_81)))) (let ((_let_228 (SYMM _let_227))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (SYMM _let_202))) (let ((_let_231 (SYMM _let_214))) (let ((_let_232 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_209)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_210 _let_196 _let_215 _let_219 _let_193 _let_185 _let_190 _let_159 _let_155 _let_164 _let_168 _let_172 _let_224 _let_227 _let_201) (SCOPE (TRANS _let_172 (CONG _let_231 _let_167 :args _let_154) _let_230 _let_229 (CONG (TRANS _let_226 (CONG (TRANS _let_185 (SYMM _let_213) _let_191 (SYMM _let_195) _let_223 _let_222 _let_194 _let_221) _let_218 :args _let_154) _let_217) _let_214 :args _let_154) _let_197 _let_212) :args (_let_59 _let_53 _let_66 _let_82 _let_56 _let_62 _let_77 _let_80 _let_79 _let_73 _let_65 _let_55 _let_63 _let_81 _let_78))) :args (_let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_59 _let_62 _let_63 _let_65 _let_66 _let_73 _let_77))) :args (true _let_209)) :args ((or _let_148 _let_115 _let_114 _let_208 _let_207 _let_183 _let_182 _let_181 _let_206 _let_180 _let_205 _let_179 _let_204 _let_129 _let_178 _let_177))))) (let ((_let_233 (and _let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_62 _let_63 _let_65 _let_66 _let_73 _let_77))) (let ((_let_234 (true _let_233))) (let ((_let_235 (_let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_62 _let_63 _let_65 _let_66 _let_73 _let_77))) (let ((_let_236 (CONG _let_162 _let_156 :args _let_154))) (let ((_let_237 (CONG _let_189 (TRANS (SYMM _let_236) _let_165 _let_187 _let_173) :args _let_154))) (let ((_let_238 (TRANS _let_193 _let_200 _let_198 _let_195 _let_192 _let_237 _let_186))) (let ((_let_239 (CNF_AND_NEG :args (_let_233)))) (let ((_let_240 (REORDERING (RESOLUTION _let_239 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_159 _let_164 _let_168 _let_185 _let_172 _let_190 _let_193 _let_196 _let_201 _let_227 _let_224 _let_219 _let_215) (SCOPE (TRANS _let_193 _let_200 _let_198 _let_195 _let_192 _let_237 _let_186 _let_196 (CONG (TRANS _let_216 (CONG (TRANS _let_220 _let_193 _let_200 _let_198 _let_195 _let_192 _let_237 _let_186) _let_218 :args _let_154) _let_225) (SYMM _let_238) :args _let_154) _let_228 _let_202 (CONG _let_238 _let_167 :args _let_154) _let_171 _let_166 _let_236 (CONG _let_167 _let_157 :args _let_154)) :args (_let_79 _let_80 _let_73 _let_65 _let_62 _let_55 _let_77 _let_56 _let_53 _let_78 _let_81 _let_63 _let_82 _let_66))) :args _let_235)) :args _let_234) :args ((or _let_148 _let_115 _let_114 _let_208 _let_207 _let_183 _let_182 _let_181 _let_180 _let_205 _let_179 _let_204 _let_128 _let_178 _let_177))))) (let ((_let_241 (APPLY_UF tptp.inverse))) (let ((_let_242 (CONG _let_197 _let_199 :args _let_154))) (let ((_let_243 (CONG _let_196 _let_194 :args _let_154))) (let ((_let_244 (CONG _let_186 _let_193 :args _let_154))) (let ((_let_245 (SYMM _let_192))) (let ((_let_246 (CONG _let_189 _let_175 :args _let_154))) (let ((_let_247 (TRANS _let_185 _let_246 _let_245 _let_244 _let_243 _let_242 _let_194))) (let ((_let_248 (TRANS _let_226 (CONG (TRANS _let_185 _let_246 _let_245 _let_244 _let_243 _let_242 _let_194 _let_221) _let_218 :args _let_154) _let_217))) (let ((_let_249 (TRANS _let_185 _let_246 _let_245 _let_244 _let_243 _let_242 _let_194 _let_221 (CONG _let_248 :args _let_241) (CONG _let_247 :args _let_241)))) (let ((_let_250 (CONG _let_248 (SYMM _let_247) :args _let_154))) (let ((_let_251 (CONG _let_247 _let_167 :args _let_154))) (let ((_let_252 (REORDERING (RESOLUTION _let_239 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_193 _let_196 _let_185 _let_190 _let_159 _let_155 _let_164 _let_168 _let_172 _let_215 _let_219 _let_224 _let_227 _let_201) (SCOPE (TRANS _let_174 _let_251 _let_230 _let_229 _let_250 (CONG _let_247 _let_249 :args _let_154)) :args (_let_56 _let_53 _let_62 _let_77 _let_80 _let_79 _let_73 _let_65 _let_55 _let_66 _let_82 _let_63 _let_81 _let_78))) :args _let_235)) :args _let_234) :args ((or _let_148 _let_115 _let_114 _let_208 _let_207 _let_183 _let_182 _let_181 _let_180 _let_205 _let_179 _let_204 _let_127 _let_178 _let_177))))) (let ((_let_253 (_let_80 _let_55 _let_62 _let_65 _let_73 _let_79 _let_77 _let_56 _let_53 _let_78 _let_81 _let_63 _let_82 _let_66))) (let ((_let_254 (CONG _let_161 :args _let_241))) (let ((_let_255 (TRANS _let_216 (CONG (TRANS _let_220 _let_193 _let_200 _let_198 _let_195 _let_192 _let_213 _let_186) _let_218 :args _let_154) _let_225))) (let ((_let_256 (CONG (TRANS _let_196 (CONG _let_255 _let_231 :args _let_154) _let_228 _let_202 (CONG _let_214 _let_167 :args _let_154) _let_173) :args _let_241))) (let ((_let_257 (CONG (SYMM _let_255) :args _let_241))) (let ((_let_258 (AND_INTRO _let_159 _let_172 _let_185 _let_168 _let_164 _let_155 _let_190 _let_193 _let_196 _let_201 _let_227 _let_224 _let_219 _let_215))) (let ((_let_259 (REORDERING (RESOLUTION _let_239 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_258 (SCOPE (TRANS _let_219 _let_257 _let_256 _let_254) :args _let_253)) :args _let_235)) :args _let_234) :args ((or _let_148 _let_115 _let_114 _let_208 _let_207 _let_183 _let_182 _let_181 _let_180 _let_205 _let_179 _let_204 _let_126 _let_178 _let_177))))) (let ((_let_260 (REORDERING (RESOLUTION _let_239 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_185 _let_168 _let_164 _let_159 _let_155 _let_190 _let_193 _let_196 _let_201 _let_227 _let_224 _let_219 _let_215) (SCOPE (TRANS _let_219 _let_257 _let_256) :args (_let_55 _let_62 _let_65 _let_73 _let_80 _let_79 _let_77 _let_56 _let_53 _let_78 _let_81 _let_63 _let_82 _let_66))) :args _let_235)) :args _let_234) :args ((or _let_148 _let_115 _let_114 _let_208 _let_207 _let_183 _let_182 _let_181 _let_180 _let_205 _let_179 _let_204 _let_125 _let_178 _let_177))))) (let ((_let_261 (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_114 _let_142 (not _let_143)))))) (let ((_let_262 (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_139 (not _let_141)))))) (let ((_let_263 (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_136 _let_137 (not _let_138)))))) (let ((_let_264 (_let_147))) (let ((_let_265 (ASSUME :args _let_264))) (let ((_let_266 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_265 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_264)))) (let ((_let_267 (_let_146))) (let ((_let_268 (ASSUME :args _let_267))) (let ((_let_269 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_267)))) (let ((_let_270 (_let_145))) (let ((_let_271 (ASSUME :args _let_270))) (let ((_let_272 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args _let_90) :args _let_270)))) (let ((_let_273 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_148 _let_145 _let_130 _let_146 _let_147 _let_144))))) (let ((_let_274 (_let_144))) (let ((_let_275 (ASSUME :args _let_274))) (let ((_let_276 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.sk_c11 tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_274)))) (let ((_let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_104) :args _let_87)) _let_86 :args (_let_122 false _let_85)))) (let ((_let_278 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.sk_c12 tptp.identity tptp.sk_c4 QUANTIFIERS_INST_ENUM)) :args _let_108)) _let_109 :args (_let_123 false _let_50)))) (let ((_let_279 (and _let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_122 _let_62 _let_63 _let_65 _let_66 _let_123 _let_73 _let_77))) (let ((_let_280 (ASSUME :args (_let_122)))) (let ((_let_281 (SYMM _let_280))) (let ((_let_282 (REFL :args (tptp.sk_c4)))) (let ((_let_283 (ASSUME :args (_let_123)))) (let ((_let_284 (CONG _let_167 _let_280 :args _let_154))) (let ((_let_285 (RESOLUTION (CNF_AND_NEG :args (_let_279)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_280 _let_196 _let_215 _let_219 _let_193 _let_185 _let_190 _let_159 _let_155 _let_164 _let_168 _let_172 _let_224 _let_227 _let_201 _let_283) (SCOPE (TRANS _let_162 _let_174 _let_251 _let_230 _let_229 _let_250 (CONG (TRANS _let_170 (CONG _let_162 _let_282 :args _let_154) _let_284 (SYMM _let_283) (CONG (TRANS (TRANS (CONG _let_167 (TRANS _let_185 _let_246 _let_245 _let_244 _let_243 _let_242 _let_194 _let_157) :args _let_154) (CONG _let_167 _let_158 :args _let_154) (SYMM _let_163) _let_165 _let_187 _let_173) (TRANS _let_174 _let_251 _let_230 _let_229 _let_250 _let_197)) _let_282 :args _let_154) _let_281) _let_249 :args _let_154)) :args (_let_122 _let_53 _let_66 _let_82 _let_56 _let_62 _let_77 _let_80 _let_79 _let_73 _let_65 _let_55 _let_63 _let_81 _let_78 _let_123))) :args (_let_78 _let_79 _let_80 _let_81 _let_82 _let_53 _let_55 _let_56 _let_122 _let_62 _let_63 _let_65 _let_66 _let_123 _let_73 _let_77))) :args (true _let_279)))) (let ((_let_286 (RESOLUTION _let_239 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_258 (SCOPE (TRANS (CONG _let_214 :args _let_241) _let_256 _let_254) :args _let_253)) :args _let_235)) :args _let_234))) (let ((_let_287 (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_133 _let_132 _let_131 (not _let_135)))))) (let ((_let_288 (not _let_112))) (let ((_let_289 (not _let_113))) (let ((_let_290 (or _let_289 _let_288))) (let ((_let_291 (= tptp.sk_c11 _let_26))) (let ((_let_292 (= (tptp.multiply _let_54 tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c12 tptp.sk_c4))))) (let ((_let_293 (tptp.multiply _let_30 tptp.sk_c1))) (let ((_let_294 (= tptp.identity _let_293))) (let ((_let_295 (= (tptp.multiply _let_293 tptp.sk_c11) (tptp.multiply _let_30 _let_36)))) (let ((_let_296 (= (tptp.multiply _let_58 tptp.sk_c12) (tptp.multiply _let_57 _let_42)))) (let ((_let_297 (= _let_30 (tptp.multiply tptp.sk_c1 _let_57)))) (let ((_let_298 (not _let_297))) (let ((_let_299 (= _let_57 (tptp.inverse _let_30)))) (let ((_let_300 (not _let_299))) (let ((_let_301 (or _let_134 _let_133 _let_300 _let_298))) (let ((_let_302 (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_289 _let_288 (not _let_290)))))) (let ((_let_303 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_270)))) (let ((_let_304 (= tptp.sk_c12 _let_3))) (let ((_let_305 (= tptp.sk_c3 _let_22))) (let ((_let_306 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (let ((_let_307 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_308 (= tptp.identity (tptp.multiply _let_3 tptp.sk_c2)))) (let ((_let_309 (not _let_291))) (let ((_let_310 (_let_112))) (let ((_let_311 (ASSUME :args _let_310))) (let ((_let_312 (SYMM _let_311))) (let ((_let_313 (SYMM _let_312))) (let ((_let_314 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_311 (SCOPE (CONG _let_313 :args _let_241) :args _let_310)) :args _let_310)))) (let ((_let_315 (tptp.sk_c1 QUANTIFIERS_INST_ENUM))) (let ((_let_316 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_315) :args _let_98)))) (let ((_let_317 (MACRO_RESOLUTION_TRUST _let_316 _let_97 :args (_let_294 false _let_96)))) (let ((_let_318 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_30 tptp.sk_c1 tptp.sk_c11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)))) (let ((_let_319 (MACRO_RESOLUTION_TRUST _let_318 _let_109 :args (_let_295 false _let_50)))) (let ((_let_320 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_57 tptp.sk_c11 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)))) (let ((_let_321 (MACRO_RESOLUTION_TRUST _let_320 _let_109 :args (_let_296 false _let_50)))) (let ((_let_322 (and _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) (let ((_let_323 (ASSUME :args (_let_294)))) (let ((_let_324 (SYMM _let_323))) (let ((_let_325 (SYMM _let_324))) (let ((_let_326 (ASSUME :args (_let_295)))) (let ((_let_327 (SYMM _let_326))) (let ((_let_328 (SYMM _let_327))) (let ((_let_329 (ASSUME :args (_let_113)))) (let ((_let_330 (SYMM _let_329))) (let ((_let_331 (SYMM _let_330))) (let ((_let_332 (CONG _let_313 _let_331 :args _let_154))) (let ((_let_333 (REFL :args (_let_57)))) (let ((_let_334 (ASSUME :args (_let_296)))) (let ((_let_335 (SYMM _let_334))) (let ((_let_336 (SYMM _let_335))) (let ((_let_337 (CONG _let_212 _let_167 :args _let_154))) (let ((_let_338 (MODUS_PONENS (AND_INTRO _let_193 _let_196 _let_323 _let_326 _let_311 _let_329 _let_334 _let_210 _let_172) (SCOPE (TRANS _let_174 _let_337 _let_336 (CONG _let_333 (TRANS _let_332 (SYMM _let_328) (CONG (SYMM _let_325) _let_193 :args _let_154) _let_243 _let_242 _let_194) :args _let_154)) :args (_let_56 _let_53 _let_294 _let_295 _let_112 _let_113 _let_296 _let_59 _let_55))))) (let ((_let_339 (RESOLUTION (CNF_AND_NEG :args (_let_322)) (IMPLIES_ELIM (SCOPE _let_338 :args (_let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) :args (true _let_322)))) (let ((_let_340 (and _let_78 _let_80 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) (let ((_let_341 (CONG _let_211 _let_167 :args _let_154))) (let ((_let_342 (CONG _let_312 _let_330 :args _let_154))) (let ((_let_343 (CONG _let_325 _let_194 :args _let_154))) (let ((_let_344 (TRANS _let_193 _let_200 _let_198 _let_343 _let_328 _let_342))) (let ((_let_345 (CONG _let_333 _let_344 :args _let_154))) (let ((_let_346 (TRANS _let_210 _let_345 _let_335 _let_341 _let_173 _let_161))) (let ((_let_347 (SYMM _let_343))) (let ((_let_348 (SYMM _let_342))) (let ((_let_349 (RESOLUTION (CNF_AND_NEG :args (_let_340)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_201) (SCOPE (TRANS _let_202 _let_348 _let_327 _let_347 (CONG _let_346 _let_194 :args _let_154)) :args (_let_80 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_78))) :args (_let_78 _let_80 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) :args (true _let_340)))) (let ((_let_350 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.identity tptp.sk_c12 tptp.sk_c4 QUANTIFIERS_INST_ENUM)) :args _let_108)) _let_109 :args (_let_292 false _let_50)))) (let ((_let_351 (and _let_79 _let_80 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_122 _let_65 _let_292 _let_294 _let_295 _let_296))) (let ((_let_352 (true _let_351))) (let ((_let_353 (_let_79 _let_80 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_122 _let_65 _let_292 _let_294 _let_295 _let_296))) (let ((_let_354 (SYMM _let_345))) (let ((_let_355 (SYMM _let_341))) (let ((_let_356 (TRANS _let_172 _let_355 _let_334 _let_354 _let_211))) (let ((_let_357 (CONG _let_356 _let_281 :args _let_154))) (let ((_let_358 (ASSUME :args (_let_292)))) (let ((_let_359 (SYMM _let_358))) (let ((_let_360 (SYMM _let_284))) (let ((_let_361 (TRANS _let_280 (SYMM _let_357) _let_360 (CONG _let_172 _let_282 :args _let_154) (SYMM _let_359) (CONG _let_346 (TRANS _let_284 _let_357 _let_281) :args _let_154) (SYMM _let_170)))) (let ((_let_362 (REFL :args (tptp.identity)))) (let ((_let_363 (CNF_AND_NEG :args (_let_351)))) (let ((_let_364 (RESOLUTION _let_363 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_168 _let_280 _let_358 _let_155) (SCOPE (TRANS _let_157 (CONG _let_280 _let_167 :args _let_154) (CONG _let_281 _let_356 :args _let_154) (CONG _let_361 _let_362 :args _let_154) _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_161 (CONG _let_361 :args _let_241) (CONG _let_346 :args _let_241)) :args (_let_80 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_65 _let_122 _let_292 _let_79))) :args _let_353)) :args _let_352))) (let ((_let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c3 QUANTIFIERS_INST_ENUM)) :args _let_87)))) (let ((_let_366 (MACRO_RESOLUTION_TRUST _let_365 _let_86 :args (_let_306 false _let_85)))) (let ((_let_367 (and _let_79 _let_80 _let_113 _let_112 _let_291 _let_53 _let_55 _let_56 _let_59 _let_122 _let_65 _let_292 _let_306 _let_294 _let_295 _let_296))) (let ((_let_368 (true _let_367))) (let ((_let_369 (_let_79 _let_80 _let_113 _let_112 _let_291 _let_53 _let_55 _let_56 _let_59 _let_122 _let_65 _let_292 _let_306 _let_294 _let_295 _let_296))) (let ((_let_370 (_let_291 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_306 _let_79 _let_122 _let_292 _let_80 _let_65))) (let ((_let_371 (ASSUME :args (_let_291)))) (let ((_let_372 (SYMM _let_371))) (let ((_let_373 (REFL :args (tptp.sk_c3)))) (let ((_let_374 (TRANS _let_210 _let_345 _let_335 _let_341 _let_173))) (let ((_let_375 (CONG _let_374 _let_373 :args _let_154))) (let ((_let_376 (ASSUME :args (_let_306)))) (let ((_let_377 (SYMM _let_376))) (let ((_let_378 (SYMM _let_377))) (let ((_let_379 (TRANS _let_378 _let_375 _let_372))) (let ((_let_380 (CONG _let_379 :args _let_241))) (let ((_let_381 (SYMM _let_375))) (let ((_let_382 (CONG _let_281 _let_167 :args _let_154))) (let ((_let_383 (CONG _let_280 _let_374 :args _let_154))) (let ((_let_384 (SYMM _let_374))) (let ((_let_385 (CONG _let_384 _let_281 :args _let_154))) (let ((_let_386 (TRANS (TRANS _let_170 (CONG (TRANS _let_160 _let_172 _let_355 _let_334 _let_354 _let_211) (TRANS _let_280 (SYMM _let_385) _let_360) :args _let_154) _let_359 (CONG _let_173 _let_282 :args _let_154) _let_284 _let_385) _let_281))) (let ((_let_387 (CONG _let_386 _let_362 :args _let_154))) (let ((_let_388 (TRANS _let_196 _let_387 _let_383 _let_382 _let_158 _let_371 _let_381 _let_377))) (let ((_let_389 (CONG _let_388 :args _let_241))) (let ((_let_390 (CONG (SYMM _let_386) :args _let_241))) (let ((_let_391 (AND_INTRO _let_371 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_376 _let_155 _let_280 _let_358 _let_159 _let_168))) (let ((_let_392 (CNF_AND_NEG :args (_let_367)))) (let ((_let_393 (SYMM _let_387))) (let ((_let_394 (SYMM _let_383))) (let ((_let_395 (SYMM _let_382))) (let ((_let_396 (REFL :args (tptp.sk_c1)))) (let ((_let_397 (CONG _let_396 _let_344 :args _let_154))) (let ((_let_398 (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_134 _let_133 _let_300 _let_298 (not _let_301)))))) (let ((_let_399 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.sk_c11 tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_274)))) (let ((_let_400 (RESOLUTION _let_363 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_280 _let_358 _let_159 _let_168 _let_155) (SCOPE (TRANS _let_157 _let_395 _let_394 _let_393 (CONG _let_374 (TRANS _let_196 _let_387 _let_383 _let_382) :args _let_154)) :args (_let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_122 _let_292 _let_80 _let_65 _let_79))) :args _let_353)) :args _let_352))) (let ((_let_401 (= tptp.sk_c10 _let_76))) (let ((_let_402 (= tptp.sk_c11 _let_22))) (let ((_let_403 (not _let_304))) (let ((_let_404 (not _let_402))) (let ((_let_405 (or _let_404 _let_403))) (let ((_let_406 (not _let_401))) (let ((_let_407 (or _let_406 _let_136))) (let ((_let_408 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_409 (not _let_305))) (let ((_let_410 (and _let_78 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) (let ((_let_411 (or))) (let ((_let_412 (not _let_296))) (let ((_let_413 (REFL :args (_let_412)))) (let ((_let_414 (not _let_295))) (let ((_let_415 (REFL :args (_let_414)))) (let ((_let_416 (not _let_294))) (let ((_let_417 (REFL :args (_let_416)))) (let ((_let_418 (not _let_306))) (let ((_let_419 (REFL :args (_let_418)))) (let ((_let_420 (REFL :args (_let_206)))) (let ((_let_421 (REFL :args (_let_181)))) (let ((_let_422 (REFL :args (_let_182)))) (let ((_let_423 (REFL :args (_let_183)))) (let ((_let_424 (_let_409))) (let ((_let_425 (REFL :args (_let_309)))) (let ((_let_426 (REFL :args (_let_288)))) (let ((_let_427 (REFL :args (_let_289)))) (let ((_let_428 (ASSUME :args (_let_404)))) (let ((_let_429 (ASSUME :args (_let_305)))) (let ((_let_430 (SYMM _let_429))) (let ((_let_431 (SYMM _let_430))) (let ((_let_432 (CONG _let_333 (TRANS _let_332 _let_327 (CONG _let_324 _let_193 :args _let_154) _let_243 _let_242 _let_194) :args _let_154))) (let ((_let_433 (SYMM _let_372))) (let ((_let_434 (= tptp.sk_c11 (tptp.multiply tptp.sk_c12 _let_22)))) (let ((_let_435 (not _let_434))) (let ((_let_436 (or _let_435 _let_403))) (let ((_let_437 (and _let_291 _let_305))) (let ((_let_438 (tptp.sk_c2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_439 (tptp.sk_c2 QUANTIFIERS_INST_ENUM))) (let ((_let_440 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_439) :args _let_87)) _let_86 :args (_let_307 false _let_85)))) (let ((_let_441 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_439) :args _let_98)) _let_97 :args (_let_308 false _let_96)))) (let ((_let_442 (not _let_308))) (let ((_let_443 (not _let_307))) (let ((_let_444 (and _let_113 _let_112 _let_291 _let_305 _let_304 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_307 _let_308))) (let ((_let_445 (true _let_444))) (let ((_let_446 (_let_113 _let_112 _let_291 _let_305 _let_304 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_307 _let_308))) (let ((_let_447 (ASSUME :args (_let_308)))) (let ((_let_448 (SYMM _let_447))) (let ((_let_449 (SYMM _let_448))) (let ((_let_450 (REFL :args (tptp.sk_c2)))) (let ((_let_451 (ASSUME :args (_let_304)))) (let ((_let_452 (SYMM _let_451))) (let ((_let_453 (SYMM _let_452))) (let ((_let_454 (ASSUME :args (_let_307)))) (let ((_let_455 (SYMM _let_454))) (let ((_let_456 (SYMM _let_455))) (let ((_let_457 (TRANS _let_456 (CONG (TRANS _let_210 _let_345 _let_335 _let_341 _let_173 _let_453) _let_450 :args _let_154) (SYMM _let_449)))) (let ((_let_458 (CNF_AND_NEG :args (_let_444)))) (let ((_let_459 (TRANS _let_449 (CONG (TRANS _let_452 _let_172 _let_355 _let_334 _let_354 _let_211) _let_450 :args _let_154) _let_455))) (let ((_let_460 (CONG _let_459 _let_374 :args _let_154))) (let ((_let_461 (TRANS _let_196 _let_460 _let_430))) (let ((_let_462 (TRANS _let_210 _let_345 _let_335 _let_341 _let_173 _let_451 (CONG (SYMM _let_459) :args _let_241) (CONG _let_461 :args _let_241) _let_380))) (let ((_let_463 (SYMM _let_460))) (let ((_let_464 (and _let_113 _let_112 _let_291 _let_305 _let_304 _let_53 _let_55 _let_56 _let_59 _let_408 _let_306 _let_294 _let_295 _let_296 _let_307 _let_308))) (let ((_let_465 (ASSUME :args (_let_408)))) (let ((_let_466 (REFL :args (_let_114)))) (let ((_let_467 (= tptp.sk_c12 _let_60))) (let ((_let_468 (= tptp.sk_c12 _let_119))) (let ((_let_469 (SYMM _let_197))) (let ((_let_470 (SYMM (SYMM (ASSUME :args (_let_129)))))) (let ((_let_471 (ASSUME :args (_let_126)))) (let ((_let_472 (ASSUME :args _let_424))) (let ((_let_473 (=))) (let ((_let_474 (SYMM _let_453))) (let ((_let_475 (SYMM _let_212))) (let ((_let_476 (TRANS _let_449 (CONG (TRANS _let_474 _let_174 _let_337 _let_336 _let_432 _let_475) _let_450 :args _let_154) (SYMM _let_456)))) (let ((_let_477 (TRANS _let_174 _let_337 _let_336 _let_432 _let_475))) (let ((_let_478 (SYMM _let_174))) (let ((_let_479 (CONG _let_475 _let_167 :args _let_154))) (let ((_let_480 (SYMM _let_336))) (let ((_let_481 (CONG _let_333 (TRANS _let_193 _let_200 _let_198 _let_343 _let_328 (CONG (SYMM _let_313) (SYMM _let_331) :args _let_154)) :args _let_154))) (let ((_let_482 (CONG (TRANS _let_456 (CONG (TRANS _let_212 _let_481 _let_480 _let_479 _let_478 _let_453) _let_450 :args _let_154) _let_448) :args _let_241))) (let ((_let_483 (_let_112 _let_79 _let_122 _let_55 _let_59 _let_296 _let_113 _let_295 _let_294 _let_56 _let_53 _let_292 _let_80 _let_65))) (let ((_let_484 (CONG _let_312 :args _let_241))) (let ((_let_485 (CONG (TRANS _let_196 _let_387 _let_383 _let_382 _let_156 _let_311) :args _let_241))) (let ((_let_486 (AND_INTRO _let_311 _let_155 _let_280 _let_172 _let_210 _let_334 _let_329 _let_326 _let_323 _let_193 _let_196 _let_358 _let_159 _let_168))) (let ((_let_487 (MACRO_RESOLUTION_TRUST _let_273 _let_266 _let_269 _let_272 _let_276 _let_261 _let_262 _let_263 _let_287 _let_152 _let_232 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_100 _let_95 _let_92 _let_89 _let_240 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_252 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_259 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_260 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_285 _let_111 _let_110 _let_278 _let_106 _let_105 _let_103 _let_101 _let_277 _let_95 _let_92 _let_89 _let_286 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_176 _let_110 _let_105 _let_92 _let_203 _let_111 _let_110 _let_105 _let_101 _let_95 _let_92 _let_89 _let_149 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_82 _let_113))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_81 _let_113))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_113))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_113))) (MACRO_RESOLUTION_TRUST _let_398 (RESOLUTION _let_363 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_486 (SCOPE (TRANS _let_312 _let_155 _let_395 _let_394 _let_393 _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_329 _let_397 (CONG _let_396 (TRANS _let_348 _let_327 _let_347 _let_223 _let_222 _let_194 _let_155 _let_395 _let_394 _let_393 _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_159 _let_390 _let_485 _let_484) :args _let_154)) :args _let_483)) :args _let_353)) :args _let_352) _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 (RESOLUTION _let_363 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_486 (SCOPE (TRANS _let_172 _let_355 _let_334 _let_354 _let_211 _let_196 _let_387 _let_383 _let_382 _let_156 _let_193 _let_200 _let_198 _let_343 _let_328 _let_342 (CONG _let_199 (TRANS _let_159 _let_390 _let_485 _let_484) :args _let_154)) :args _let_483)) :args _let_353)) :args _let_352) _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_339 _let_321 _let_319 _let_317 _let_100 _let_95 _let_92 _let_89 _let_314 _let_399 _let_273 _let_269 _let_266 _let_262 _let_261 _let_152 _let_349 _let_321 _let_319 _let_317 _let_100 _let_95 _let_92 _let_89 _let_364 _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_400 _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_149 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_291))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_291))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_196 _let_210 _let_338 (MODUS_PONENS (AND_INTRO _let_159 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_447 _let_451 _let_454) (SCOPE (TRANS _let_453 _let_482 (CONG (TRANS _let_212 _let_481 _let_480 _let_479 _let_478 _let_161) :args _let_241)) :args (_let_80 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_308 _let_304 _let_307))) _let_471 (MODUS_PONENS (AND_INTRO _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_447 _let_451 _let_454) (SCOPE (TRANS _let_453 _let_482 (CONG (TRANS _let_212 _let_481 _let_480 _let_479 _let_478) :args _let_241)) :args (_let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_308 _let_304 _let_307))) (MODUS_PONENS (AND_INTRO _let_472 _let_376 _let_210 _let_193 _let_196 _let_323 _let_326 _let_311 _let_329 _let_334 _let_172 _let_371 _let_454 _let_451 _let_447) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_433 (CONG _let_477 _let_373 :args _let_154) _let_377) (SYMM (TRANS (SYMM (TRANS _let_337 _let_336 _let_432 _let_475 _let_196 (CONG _let_476 (SYMM _let_477) :args _let_154))) (SYMM (TRANS (CONG _let_477 :args _let_241) (CONG _let_476 :args _let_241) _let_474 _let_174)))) :args _let_473) (FALSE_INTRO _let_472))) :args (_let_409 _let_306 _let_59 _let_56 _let_53 _let_294 _let_295 _let_112 _let_113 _let_296 _let_55 _let_291 _let_307 _let_304 _let_308)))) :args (_let_80 _let_113 _let_112 _let_291 _let_304 _let_409 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_126 _let_307 _let_308)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_136)))) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM _let_471)) (SYMM (ASSUME :args (_let_468))) _let_470 _let_211) _let_469 (SYMM (TRANS (SYMM (ASSUME :args (_let_467))) _let_470 _let_211 _let_469)))))) :args (_let_53 _let_59 _let_129 _let_468 _let_126 _let_467 _let_136)) :args ((not (and _let_80 _let_113 _let_112 _let_291 _let_304 _let_409 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_126 _let_307 _let_308)) SB_LITERAL))) (CONG _let_466 _let_427 _let_426 _let_425 (REFL :args (_let_403)) (MACRO_SR_PRED_INTRO :args ((= (not _let_409) _let_305))) _let_423 _let_422 _let_421 _let_420 _let_419 _let_417 _let_415 _let_413 (REFL :args (_let_139)) (REFL :args (_let_443)) (REFL :args (_let_442)) :args _let_411)) :args ((or _let_305 _let_114 _let_289 _let_288 _let_309 _let_403 _let_183 _let_182 _let_181 _let_206 _let_418 _let_416 _let_414 _let_412 _let_139 _let_443 _let_442))) _let_441 _let_440 _let_321 _let_319 _let_317 _let_366 _let_100 _let_95 _let_92 _let_89 _let_364 _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_305))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_305))) (MACRO_RESOLUTION_TRUST _let_399 _let_398 (RESOLUTION (CNF_AND_NEG :args (_let_464)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_465 _let_196 _let_447 _let_451 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_454 _let_429 _let_376 _let_371) (SCOPE (TRANS _let_312 _let_371 _let_381 _let_377 _let_429 _let_463 (CONG (TRANS _let_325 (CONG (TRANS _let_312 (SYMM _let_379) (SYMM _let_461)) _let_396 :args _let_154) (SYMM _let_465)) _let_462 :args _let_154)) :args (_let_408 _let_53 _let_308 _let_304 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_307 _let_305 _let_306 _let_291))) :args (_let_113 _let_112 _let_291 _let_305 _let_304 _let_53 _let_55 _let_56 _let_59 _let_408 _let_306 _let_294 _let_295 _let_296 _let_307 _let_308))) :args (true _let_464)) _let_441 _let_440 _let_321 _let_319 _let_317 _let_366 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_315) :args _let_87)) _let_86 :args (_let_408 false _let_85)) _let_100 _let_95 _let_92 _let_89 (RESOLUTION _let_458 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_311 _let_371 _let_172 _let_210 _let_334 _let_329 _let_326 _let_323 _let_193 _let_196 _let_376 _let_429 _let_454 _let_451 _let_447) (SCOPE (TRANS (CONG (TRANS _let_371 _let_381 _let_377) :args _let_241) (CONG (TRANS _let_429 _let_463 _let_197) :args _let_241) (CONG (TRANS _let_196 _let_460 _let_430 _let_378 _let_375 _let_372 _let_313) :args _let_241)) :args (_let_112 _let_291 _let_55 _let_59 _let_296 _let_113 _let_295 _let_294 _let_56 _let_53 _let_306 _let_305 _let_307 _let_304 _let_308))) :args _let_446)) :args _let_445) _let_441 _let_440 _let_321 _let_319 _let_317 _let_366 _let_100 _let_95 _let_92 _let_89 _let_339 _let_321 _let_319 _let_317 _let_100 _let_95 _let_92 _let_89 (RESOLUTION _let_458 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_371 _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_376 _let_429 _let_454 _let_451 _let_447) (SCOPE (TRANS _let_172 _let_355 _let_334 _let_354 _let_211 _let_196 (CONG (TRANS _let_196 _let_460 _let_430 _let_378 _let_375 _let_372) _let_462 :args _let_154)) :args (_let_291 _let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_306 _let_305 _let_307 _let_304 _let_308))) :args _let_446)) :args _let_445) _let_441 _let_440 _let_321 _let_319 _let_317 _let_366 _let_100 _let_95 _let_92 _let_89 _let_273 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_268 :args _let_90) :args _let_267)) (REORDERING (CNF_OR_POS :args (_let_407)) :args ((or _let_406 _let_136 (not _let_407)))) (REORDERING (RESOLUTION _let_458 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_447 _let_451 _let_454 _let_429 _let_376 _let_371) (SCOPE (TRANS _let_433 (CONG _let_384 _let_373 :args _let_154) (SYMM _let_378) _let_431 (CONG _let_457 _let_384 :args _let_154) _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_453 (CONG _let_457 :args _let_241) (CONG _let_374 :args _let_241)) :args (_let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_308 _let_304 _let_307 _let_305 _let_306 _let_291))) :args _let_446)) :args _let_445) :args ((or _let_289 _let_288 _let_309 _let_409 _let_403 _let_183 _let_182 _let_181 _let_206 _let_418 _let_416 _let_414 _let_412 _let_125 _let_443 _let_442))) _let_441 _let_440 _let_321 _let_319 _let_317 _let_366 _let_100 _let_95 _let_92 _let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_438) :args _let_150)) (REORDERING (CNF_OR_POS :args (_let_405)) :args ((or _let_403 _let_404 (not _let_405)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_265 :args _let_438) :args _let_264)) (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_403 _let_435 (not _let_436)))) (RESOLUTION (CNF_AND_NEG :args (_let_437)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_429 _let_371) (SCOPE (TRANS _let_433 (CONG _let_167 _let_431 :args _let_154)) :args (_let_305 _let_291))) :args (_let_291 _let_305))) :args (true _let_437)) :args ((or _let_309 _let_409 _let_403 (not _let_147)) true _let_436 false _let_434)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_429 _let_376 _let_210 _let_193 _let_196 _let_323 _let_326 _let_311 _let_329 _let_334 _let_172 _let_371) (SCOPE (TRANS _let_433 (CONG (TRANS _let_174 (CONG _let_210 _let_167 :args _let_154) _let_336 _let_432 _let_211) _let_373 :args _let_154) _let_377 _let_431) :args (_let_305 _let_306 _let_59 _let_56 _let_53 _let_294 _let_295 _let_112 _let_113 _let_296 _let_55 _let_291))) _let_428) :args (_let_113 _let_112 _let_291 _let_305 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_404)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_402)))))) (FALSE_INTRO _let_428))) :args (_let_402 _let_404)) :args ((not (and _let_113 _let_112 _let_291 _let_305 _let_53 _let_55 _let_56 _let_59 _let_306 _let_294 _let_295 _let_296 _let_404)) SB_LITERAL))) (CONG _let_427 _let_426 _let_425 (REFL :args _let_424) _let_423 _let_422 _let_421 _let_420 _let_419 _let_417 _let_415 _let_413 (MACRO_SR_PRED_INTRO :args ((= (not _let_404) _let_402))) :args _let_411)) _let_365 (RESOLUTION (CNF_AND_NEG :args (_let_410)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_210 _let_334 _let_311 _let_329 _let_326 _let_323 _let_193 _let_196 _let_201) (SCOPE (TRANS _let_202 _let_348 _let_327 _let_347 (CONG _let_374 _let_194 :args _let_154)) :args (_let_55 _let_59 _let_296 _let_112 _let_113 _let_295 _let_294 _let_56 _let_53 _let_78))) :args (_let_78 _let_113 _let_112 _let_53 _let_55 _let_56 _let_59 _let_294 _let_295 _let_296))) :args (true _let_410)) _let_88 _let_91 _let_94 _let_86 _let_99 _let_316 _let_97 _let_318 _let_320 _let_109 _let_303 _let_302 :args ((or _let_148 _let_289 _let_288 _let_309 _let_409 _let_403) true _let_301 false _let_297 false _let_308 false _let_307 false _let_296 false _let_295 false _let_294 false _let_306 false _let_408 false _let_59 false _let_56 false _let_55 false _let_53 false _let_299 false _let_308 false _let_307 false _let_296 false _let_295 false _let_294 false _let_306 false _let_59 false _let_56 false _let_55 false _let_53 false _let_129 false _let_296 false _let_295 false _let_294 false _let_59 false _let_56 false _let_55 false _let_53 false _let_127 false _let_308 false _let_307 false _let_296 false _let_295 false _let_294 false _let_306 false _let_59 false _let_56 false _let_55 false _let_53 false _let_144 true _let_146 true _let_407 false _let_125 false _let_308 false _let_307 false _let_296 false _let_295 false _let_294 false _let_306 false _let_59 false _let_56 false _let_55 false _let_53 true _let_130 true _let_405 true _let_147 false _let_402 false _let_306 false _let_401 false _let_53 false _let_55 false _let_56 false _let_85 false _let_59 false _let_294 false _let_96 false _let_295 false _let_296 false _let_50 true _let_145 true _let_290)) (MACRO_RESOLUTION_TRUST _let_266 _let_261 _let_400 _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_273 _let_399 _let_269 _let_398 _let_262 (RESOLUTION _let_392 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_391 (SCOPE (TRANS _let_312 _let_157 _let_395 _let_394 _let_393 _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_329 _let_397 (CONG _let_396 (TRANS _let_348 _let_327 _let_347 _let_223 _let_222 _let_194 _let_157 _let_395 _let_394 _let_393 _let_197 _let_210 _let_345 _let_335 _let_341 _let_173 _let_159 _let_390 _let_389 _let_380) :args _let_154)) :args _let_370)) :args _let_369)) :args _let_368) _let_321 _let_319 _let_317 _let_366 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 (RESOLUTION _let_392 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_391 (SCOPE (TRANS _let_172 _let_355 _let_334 _let_354 _let_211 _let_196 (CONG (TRANS _let_388 _let_379) (TRANS _let_210 _let_345 _let_335 _let_341 _let_173 _let_159 _let_390 _let_389 _let_380) :args _let_154)) :args _let_370)) :args _let_369)) :args _let_368) _let_321 _let_319 _let_317 _let_366 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_364 _let_321 _let_319 _let_317 _let_350 _let_105 _let_277 _let_100 _let_95 _let_92 _let_89 _let_349 _let_321 _let_319 _let_317 _let_100 _let_95 _let_92 _let_89 _let_339 _let_321 _let_319 _let_317 _let_100 _let_95 _let_92 _let_89 _let_314 _let_152 _let_149 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_304))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_304))) _let_303 _let_302 :args ((or _let_304 _let_148 _let_289 _let_288 _let_309) true _let_143 false _let_128 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_147 true _let_144 true _let_146 true _let_301 true _let_141 false _let_297 false _let_296 false _let_295 false _let_294 false _let_306 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_127 false _let_296 false _let_295 false _let_294 false _let_306 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_126 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_117 false _let_296 false _let_295 false _let_294 false _let_59 false _let_56 false _let_55 false _let_53 false _let_129 false _let_296 false _let_295 false _let_294 false _let_59 false _let_56 false _let_55 false _let_53 false _let_299 true _let_130 true _let_116 false _let_80 false _let_79 true _let_145 true _let_290)) :args ((or _let_148 _let_289 _let_288 _let_309) false _let_308 false _let_307 false _let_296 false _let_295 false _let_294 false _let_306 false _let_59 false _let_56 false _let_55 false _let_53 false _let_126 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_80 false _let_79 true _let_305 false _let_304)) _let_303 _let_302 :args ((or _let_148 _let_289 _let_288) false _let_297 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_127 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_129 false _let_296 false _let_295 false _let_294 false _let_59 false _let_56 false _let_55 false _let_53 false _let_299 false _let_301 false _let_144 true _let_146 true _let_147 true _let_141 true _let_143 true _let_130 false _let_117 false _let_296 false _let_295 false _let_294 false _let_59 false _let_56 false _let_55 false _let_53 false _let_126 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 false _let_128 false _let_296 false _let_295 false _let_294 false _let_292 false _let_65 false _let_122 false _let_59 false _let_56 false _let_55 false _let_53 true _let_116 false _let_80 false _let_79 true _let_291 true _let_145 true _let_290)) (MACRO_RESOLUTION_TRUST _let_287 _let_286 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_285 _let_111 _let_110 _let_278 _let_106 _let_105 _let_103 _let_101 _let_277 _let_95 _let_92 _let_89 _let_276 _let_273 _let_272 _let_269 _let_266 _let_263 _let_262 _let_261 _let_260 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_259 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_252 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_240 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_95 _let_92 _let_89 _let_232 _let_111 _let_110 _let_106 _let_105 _let_103 _let_101 _let_100 _let_95 _let_92 _let_89 _let_203 _let_111 _let_110 _let_105 _let_101 _let_95 _let_92 _let_89 _let_176 _let_110 _let_105 _let_92 _let_152 _let_149 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_82 _let_112))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_81 _let_112))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_112))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_112))) :args ((or _let_112 _let_148) false _let_120 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_124 false _let_77 false _let_73 false _let_123 false _let_66 false _let_65 false _let_63 false _let_62 false _let_122 false _let_56 false _let_55 false _let_53 false _let_135 false _let_144 true _let_145 true _let_146 true _let_147 true _let_138 true _let_141 true _let_143 false _let_125 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_126 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_127 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_128 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_129 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_59 false _let_56 false _let_55 false _let_53 false _let_117 false _let_77 false _let_73 false _let_65 false _let_62 false _let_56 false _let_55 false _let_53 false _let_118 false _let_73 false _let_65 false _let_55 true _let_130 true _let_116 false _let_82 false _let_81 false _let_80 false _let_79)) :args (_let_148 true _let_147 true _let_146 true _let_145 true _let_144 true _let_143 true _let_141 true _let_138 true _let_135 true _let_130 false _let_129 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_59 false _let_56 false _let_55 false _let_53 false _let_128 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_127 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_126 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_125 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_124 false _let_77 false _let_73 false _let_123 false _let_66 false _let_65 false _let_63 false _let_62 false _let_122 false _let_56 false _let_55 false _let_53 false _let_120 false _let_77 false _let_73 false _let_66 false _let_65 false _let_63 false _let_62 false _let_56 false _let_55 false _let_53 false _let_118 false _let_73 false _let_65 false _let_55 false _let_117 false _let_77 false _let_73 false _let_65 false _let_62 false _let_56 false _let_55 false _let_53 true _let_116 false _let_82 false _let_81 false _let_80 false _let_79 true _let_113 false _let_112)))) (let ((_let_488 (not _let_75))) (let ((_let_489 (not _let_74))) (let ((_let_490 (not _let_72))) (let ((_let_491 (not _let_69))) (let ((_let_492 (not _let_67))) (let ((_let_493 (not _let_84))) (let ((_let_494 (not _let_83))) (let ((_let_495 (not (= tptp.sk_c11 _let_54)))) (let ((_let_496 (= tptp.sk_c12 _let_12))) (let ((_let_497 (ASSUME :args (_let_148)))) (let ((_let_498 (CONG _let_189 (TRANS _let_174 _let_171 _let_166 (CONG _let_160 _let_156 :args _let_154)) :args _let_154))) (let ((_let_499 (TRANS _let_185 _let_498 _let_191 _let_244 _let_243 _let_242 _let_194))) (let ((_let_500 (SYMM _let_498))) (let ((_let_501 (SYMM _let_244))) (let ((_let_502 (SYMM _let_243))) (let ((_let_503 (SYMM _let_242))) (let ((_let_504 (ASSUME :args (_let_72)))) (let ((_let_505 (SYMM _let_504))) (let ((_let_506 (ASSUME :args (_let_67)))) (let ((_let_507 (ASSUME :args (_let_69)))) (let ((_let_508 (ASSUME :args (_let_74)))) (let ((_let_509 (ASSUME :args (_let_83)))) (let ((_let_510 (ASSUME :args (_let_84)))) (let ((_let_511 (CONG (REFL :args (_let_70)) (TRANS (CONG (SYMM (SYMM _let_510)) _let_167 :args _let_154) (CONG (REFL :args (_let_8)) (SYMM (SYMM _let_509)) :args _let_154) (SYMM _let_508) (CONG (SYMM _let_507) (REFL :args (tptp.sk_c9)) :args _let_154) (SYMM _let_506)) :args _let_154))) (let ((_let_512 (ASSUME :args (_let_75)))) (let ((_let_513 (SYMM (SYMM _let_512)))) (let ((_let_514 (CONG _let_504 _let_167 :args _let_154))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_196 _let_210 (MODUS_PONENS (AND_INTRO _let_210 _let_504 _let_506 _let_507 _let_508 _let_509 _let_510 _let_512 _let_172) (SCOPE (TRANS _let_174 _let_514 _let_513 _let_511 _let_505 _let_212) :args (_let_59 _let_72 _let_67 _let_69 _let_74 _let_83 _let_84 _let_75 _let_55))) (MODUS_PONENS (AND_INTRO _let_219 _let_193 _let_196 _let_185 _let_190 _let_159 _let_155 _let_164 _let_168 _let_172 _let_504 _let_506 _let_507 _let_508 _let_509 _let_510 _let_512) (SCOPE (TRANS _let_174 _let_514 _let_513 _let_511 _let_505 _let_185 _let_498 _let_191 _let_244 _let_243 _let_242 _let_194 _let_221) :args (_let_82 _let_56 _let_53 _let_62 _let_77 _let_80 _let_79 _let_73 _let_65 _let_55 _let_72 _let_67 _let_69 _let_74 _let_83 _let_84 _let_75))) _let_219 _let_172 (MODUS_PONENS (AND_INTRO _let_497 _let_193 _let_196 _let_185 _let_190 _let_159 _let_155 _let_164 _let_168 _let_172 _let_227 _let_224 _let_219 _let_215) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_193 _let_503 _let_502 _let_501 _let_190 _let_500 _let_186 _let_196 (CONG (TRANS _let_216 (CONG (TRANS (SYMM _let_221) _let_193 _let_503 _let_502 _let_501 _let_190 _let_500 _let_186) _let_218 :args _let_154) _let_225) _let_499 :args _let_154) _let_228) (CONG _let_499 _let_167 :args _let_154) :args _let_473) (FALSE_INTRO _let_497))) :args (_let_148 _let_56 _let_53 _let_62 _let_77 _let_80 _let_79 _let_73 _let_65 _let_55 _let_81 _let_63 _let_82 _let_66)))) :args (_let_79 _let_80 _let_81 _let_82 _let_83 _let_84 _let_148 _let_53 _let_55 _let_56 _let_59 _let_62 _let_63 _let_65 _let_66 _let_67 _let_69 _let_72 _let_73 _let_74 _let_75 _let_77)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_495)))) (TRUE_INTRO (TRANS (TRANS _let_221 (SYMM (ASSUME :args (_let_496))) _let_470 _let_211) _let_469 (SYMM (TRANS _let_173 _let_470 _let_211 _let_469)))))) :args (_let_53 _let_59 _let_129 _let_496 _let_82 _let_55 _let_495)) :args ((not (and _let_79 _let_80 _let_81 _let_82 _let_83 _let_84 _let_148 _let_53 _let_55 _let_56 _let_59 _let_62 _let_63 _let_65 _let_66 _let_67 _let_69 _let_72 _let_73 _let_74 _let_75 _let_77)) SB_LITERAL))) (CONG (REFL :args (_let_115)) _let_466 (REFL :args (_let_208)) (REFL :args (_let_207)) (REFL :args (_let_494)) (REFL :args (_let_493)) (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_78))) _let_423 _let_422 _let_421 _let_420 (REFL :args (_let_180)) (REFL :args (_let_205)) (REFL :args (_let_179)) (REFL :args (_let_204)) (REFL :args (_let_492)) (REFL :args (_let_491)) (REFL :args (_let_490)) (REFL :args (_let_178)) (REFL :args (_let_489)) (REFL :args (_let_488)) (REFL :args (_let_177)) :args _let_411)) :args ((or _let_78 _let_115 _let_114 _let_208 _let_207 _let_494 _let_493 _let_183 _let_182 _let_181 _let_206 _let_180 _let_205 _let_179 _let_204 _let_492 _let_491 _let_490 _let_178 _let_489 _let_488 _let_177))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_84 true _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_83 true _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_82 true _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_81 true _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_80 true _let_78)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_79 true _let_78)) _let_487 _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_70 tptp.sk_c9 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)) _let_109 :args (_let_75 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_8 tptp.sk_c6 tptp.sk_c9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)) _let_109 :args (_let_74 false _let_50)) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_107) :args _let_98)) _let_97 :args (_let_72 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_69 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_107) :args _let_87)) _let_86 :args (_let_67 false _let_85)) _let_106 _let_105 _let_103 _let_101 _let_100 _let_95 _let_92 _let_89 :args (false false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 true _let_78 false _let_77 false _let_75 false _let_74 false _let_73 false _let_72 false _let_69 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 false _let_59 false _let_56 false _let_55 false _let_53)) :args (_let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 (or _let_43 _let_7) (or _let_43 _let_6) (or _let_43 _let_5) (or _let_43 _let_2) _let_41 _let_40 _let_39 _let_38 (or _let_37 _let_11) (or _let_37 _let_9) (or _let_37 _let_7) (or _let_37 _let_6) (or _let_37 _let_5) (or _let_37 _let_2) _let_35 _let_34 _let_33 _let_32 (or _let_31 _let_11) (or _let_31 _let_9) (or _let_31 _let_7) (or _let_31 _let_6) (or _let_31 _let_5) (or _let_31 _let_2) _let_29 _let_28 (or _let_27 _let_15) (or _let_27 _let_13) (or _let_27 _let_11) (or _let_27 _let_9) (or _let_27 _let_7) (or _let_27 _let_6) (or _let_27 _let_5) (or _let_27 _let_2) _let_25 _let_24 (or _let_23 _let_15) (or _let_23 _let_13) (or _let_23 _let_11) (or _let_23 _let_9) (or _let_23 _let_7) (or _let_23 _let_6) (or _let_23 _let_5) (or _let_23 _let_2) _let_21 _let_18 (or _let_4 _let_15) (or _let_4 _let_13) (or _let_4 _let_11) (or _let_4 _let_9) (or _let_4 _let_7) (or _let_4 _let_6) (or _let_4 _let_5) (or _let_4 _let_2) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.66/10.97  )
% 10.66/10.97  % SZS output end Proof for GRP318-1
% 10.66/10.97  % cvc5---1.0.5 exiting
% 10.66/10.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------