TSTP Solution File: GRP312-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 00:25:35 EDT 2023

% Result   : Unsatisfiable 10.85s 11.07s
% Output   : Proof 10.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 20:08:09 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sMFVLIb6KA/cvc5---1.0.5_15222.p...
% 0.22/0.52  ------- get file name : TPTP file name is GRP312-1
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15222.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.59/10.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.85/11.07  % SZS status Unsatisfiable for GRP312-1
% 10.85/11.07  % SZS output start Proof for GRP312-1
% 10.85/11.09  (
% 10.85/11.09  (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_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 X6 tptp.sk_c11) tptp.sk_c12)) (not (= (tptp.inverse X6) tptp.sk_c11)) (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_c11))) (let ((_let_4 (tptp.inverse tptp.sk_c7))) (let ((_let_5 (= _let_4 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 (tptp.multiply tptp.sk_c4 tptp.sk_c12))) (let ((_let_19 (= _let_18 tptp.sk_c11))) (let ((_let_20 (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c12))) (let ((_let_21 (tptp.inverse tptp.sk_c2))) (let ((_let_22 (= _let_21 tptp.sk_c11))) (let ((_let_23 (or _let_22 _let_13))) (let ((_let_24 (or _let_22 _let_15))) (let ((_let_25 (or _let_22 _let_17))) (let ((_let_26 (or _let_22 _let_19))) (let ((_let_27 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (let ((_let_28 (= _let_27 tptp.sk_c10))) (let ((_let_29 (or _let_28 _let_13))) (let ((_let_30 (or _let_28 _let_15))) (let ((_let_31 (or _let_28 _let_17))) (let ((_let_32 (or _let_28 _let_19))) (let ((_let_33 (tptp.inverse tptp.sk_c1))) (let ((_let_34 (= _let_33 tptp.sk_c12))) (let ((_let_35 (or _let_34 _let_13))) (let ((_let_36 (or _let_34 _let_15))) (let ((_let_37 (or _let_34 _let_17))) (let ((_let_38 (or _let_34 _let_19))) (let ((_let_39 (tptp.multiply tptp.sk_c1 tptp.sk_c12))) (let ((_let_40 (= _let_39 tptp.sk_c11))) (let ((_let_41 (or _let_40 _let_13))) (let ((_let_42 (or _let_40 _let_15))) (let ((_let_43 (or _let_40 _let_17))) (let ((_let_44 (or _let_40 _let_19))) (let ((_let_45 (tptp.multiply tptp.sk_c11 tptp.sk_c12))) (let ((_let_46 (= _let_45 tptp.sk_c10))) (let ((_let_47 (or _let_46 _let_5))) (let ((_let_48 (or _let_46 _let_9))) (let ((_let_49 (or _let_46 _let_11))) (let ((_let_50 (or _let_46 _let_13))) (let ((_let_51 (or _let_46 _let_15))) (let ((_let_52 (or _let_46 _let_17))) (let ((_let_53 (or _let_46 _let_19))) (let ((_let_54 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_56 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_57 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_58 (= tptp.identity _let_57))) (let ((_let_59 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (let ((_let_60 (tptp.multiply tptp.identity tptp.sk_c12))) (let ((_let_61 (= (tptp.multiply _let_57 tptp.sk_c12) (tptp.multiply tptp.identity _let_60)))) (let ((_let_62 (= tptp.sk_c12 _let_60))) (let ((_let_63 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_64 (tptp.multiply _let_16 tptp.sk_c4))) (let ((_let_65 (= tptp.identity _let_64))) (let ((_let_66 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_67 (tptp.inverse _let_16))) (let ((_let_68 (tptp.multiply _let_67 _let_16))) (let ((_let_69 (= tptp.identity _let_68))) (let ((_let_70 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_71 (tptp.multiply _let_12 tptp.sk_c5))) (let ((_let_72 (= tptp.identity _let_71))) (let ((_let_73 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_74 (tptp.inverse _let_12))) (let ((_let_75 (tptp.multiply _let_74 _let_12))) (let ((_let_76 (= tptp.identity _let_75))) (let ((_let_77 (tptp.multiply _let_8 tptp.sk_c6))) (let ((_let_78 (= tptp.identity _let_77))) (let ((_let_79 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_80 (tptp.inverse _let_8))) (let ((_let_81 (tptp.multiply _let_80 _let_8))) (let ((_let_82 (= tptp.identity _let_81))) (let ((_let_83 (tptp.multiply _let_4 tptp.sk_c7))) (let ((_let_84 (= tptp.identity _let_83))) (let ((_let_85 (tptp.inverse _let_4))) (let ((_let_86 (tptp.multiply _let_85 _let_4))) (let ((_let_87 (= tptp.identity _let_86))) (let ((_let_88 (tptp.multiply _let_74 _let_71))) (let ((_let_89 (= (tptp.multiply _let_75 tptp.sk_c5) _let_88))) (let ((_let_90 (= (tptp.multiply _let_81 tptp.sk_c6) (tptp.multiply _let_80 _let_77)))) (let ((_let_91 (tptp.multiply _let_85 _let_83))) (let ((_let_92 (= (tptp.multiply _let_86 tptp.sk_c7) _let_91))) (let ((_let_93 (tptp.multiply _let_67 _let_64))) (let ((_let_94 (= (tptp.multiply _let_68 tptp.sk_c4) _let_93))) (let ((_let_95 (= (tptp.multiply _let_88 tptp.sk_c11) (tptp.multiply _let_74 (tptp.multiply _let_71 tptp.sk_c11))))) (let ((_let_96 (tptp.multiply _let_64 tptp.sk_c12))) (let ((_let_97 (= (tptp.multiply _let_93 tptp.sk_c12) (tptp.multiply _let_67 _let_96)))) (let ((_let_98 (= (tptp.multiply _let_91 tptp.sk_c9) (tptp.multiply _let_85 (tptp.multiply _let_83 tptp.sk_c9))))) (let ((_let_99 (= tptp.sk_c10 _let_45))) (let ((_let_100 (= tptp.sk_c11 _let_18))) (let ((_let_101 (= tptp.sk_c12 _let_16))) (let ((_let_102 (= tptp.sk_c10 _let_14))) (let ((_let_103 (= tptp.sk_c11 _let_12))) (let ((_let_104 (= tptp.sk_c12 _let_10))) (let ((_let_105 (= tptp.sk_c9 _let_8))) (let ((_let_106 (= tptp.sk_c9 _let_4))) (let ((_let_107 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_109)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST _let_110 _let_108 :args (_let_58 false _let_107)))) (let ((_let_112 (tptp.sk_c11 QUANTIFIERS_INST_ENUM))) (let ((_let_113 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_112) :args _let_109)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST _let_113 _let_108 :args (_let_59 false _let_107)))) (let ((_let_115 (_let_54))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.identity tptp.identity tptp.sk_c12 QUANTIFIERS_INST_ENUM)) :args _let_115)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST _let_117 _let_116 :args (_let_61 false _let_54)))) (let ((_let_119 (tptp.sk_c12 QUANTIFIERS_INST_ENUM))) (let ((_let_120 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_119) :args _let_109)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST _let_120 _let_108 :args (_let_62 false _let_107)))) (let ((_let_122 (tptp.sk_c4 QUANTIFIERS_INST_ENUM))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_122) :args _let_109)) _let_108 :args (_let_63 false _let_107)))) (let ((_let_124 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_122) :args _let_126)) _let_125 :args (_let_65 false _let_124)))) (let ((_let_128 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_129 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_128) :args _let_109)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST _let_129 _let_108 :args (_let_66 false _let_107)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_126)) _let_125 :args (_let_69 false _let_124)))) (let ((_let_132 (tptp.sk_c6 QUANTIFIERS_INST_ENUM))) (let ((_let_133 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_128) :args _let_126)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST _let_133 _let_125 :args (_let_72 false _let_124)))) (let ((_let_135 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_126)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST _let_135 _let_125 :args (_let_76 false _let_124)))) (let ((_let_137 (tptp.sk_c7 QUANTIFIERS_INST_ENUM))) (let ((_let_138 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_74 _let_12 tptp.sk_c5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST _let_138 _let_116 :args (_let_89 false _let_54)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_67 _let_16 tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_94 false _let_54)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_74 _let_71 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_95 false _let_54)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_67 _let_64 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_97 false _let_54)))) (let ((_let_143 (= tptp.sk_c12 _let_33))) (let ((_let_144 (= tptp.sk_c11 _let_39))) (let ((_let_145 (= _let_96 (tptp.multiply _let_16 _let_18)))) (let ((_let_146 (= tptp.sk_c12 (tptp.multiply _let_16 tptp.sk_c11)))) (let ((_let_147 (not _let_101))) (let ((_let_148 (not _let_100))) (let ((_let_149 (or _let_148 _let_147))) (let ((_let_150 (not _let_103))) (let ((_let_151 (not _let_102))) (let ((_let_152 (or _let_151 _let_150))) (let ((_let_153 (tptp.inverse tptp.identity))) (let ((_let_154 (tptp.multiply tptp.identity _let_153))) (let ((_let_155 (= _let_153 _let_154))) (let ((_let_156 (tptp.multiply tptp.identity _let_74))) (let ((_let_157 (= _let_74 _let_156))) (let ((_let_158 (tptp.inverse _let_153))) (let ((_let_159 (= _let_16 _let_158))) (let ((_let_160 (tptp.multiply tptp.identity _let_16))) (let ((_let_161 (= _let_16 _let_160))) (let ((_let_162 (= _let_153 _let_160))) (let ((_let_163 (tptp.inverse tptp.sk_c11))) (let ((_let_164 (= tptp.sk_c11 _let_163))) (let ((_let_165 (= tptp.sk_c12 (tptp.multiply tptp.sk_c4 _let_16)))) (let ((_let_166 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (let ((_let_167 (= tptp.sk_c12 _let_166))) (let ((_let_168 (not _let_162))) (let ((_let_169 (not _let_159))) (let ((_let_170 (not _let_146))) (let ((_let_171 (not _let_165))) (let ((_let_172 (or _let_171 _let_170 _let_169 _let_168))) (let ((_let_173 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c12))) (not (= tptp.sk_c12 (tptp.inverse X4))))))) (let ((_let_174 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X5 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X5))))))) (let ((_let_175 (not _let_164))) (let ((_let_176 (not _let_167))) (let ((_let_177 (or _let_176 _let_175))) (let ((_let_178 (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_179 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X1 tptp.sk_c12))) (not (= tptp.sk_c12 (tptp.inverse X1))))))) (let ((_let_180 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X2))))))) (let ((_let_181 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c12 (tptp.multiply X6 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X6))))))) (let ((_let_182 (not _let_99))) (let ((_let_183 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_148 _let_147 (not _let_149)))))) (let ((_let_184 (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_150 (not _let_152)))))) (let ((_let_185 (_let_173))) (let ((_let_186 (ASSUME :args _let_185))) (let ((_let_187 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_185)))) (let ((_let_188 (_let_174))) (let ((_let_189 (ASSUME :args _let_188))) (let ((_let_190 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_188)))) (let ((_let_191 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_173 (= X4 X1)))))) (let ((_let_192 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X5 X2)))))) (let ((_let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_16 tptp.sk_c4 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_145 false _let_54)))) (let ((_let_194 (not _let_65))) (let ((_let_195 (not _let_62))) (let ((_let_196 (not _let_61))) (let ((_let_197 (not _let_58))) (let ((_let_198 (and _let_100 _let_58 _let_61 _let_62 _let_65 _let_145))) (let ((_let_199 (APPLY_UF tptp.multiply))) (let ((_let_200 (ASSUME :args (_let_100)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (REFL :args (_let_16)))) (let ((_let_205 (ASSUME :args (_let_145)))) (let ((_let_206 (ASSUME :args (_let_62)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_65)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (CONG (SYMM _let_209) _let_207 :args _let_199))) (let ((_let_211 (ASSUME :args (_let_61)))) (let ((_let_212 (SYMM _let_211))) (let ((_let_213 (SYMM _let_212))) (let ((_let_214 (REFL :args (tptp.sk_c12)))) (let ((_let_215 (ASSUME :args (_let_58)))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_198)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_205 _let_208 _let_206 _let_211 _let_215) (SCOPE (TRANS _let_206 (CONG (SYMM _let_216) _let_214 :args _let_199) _let_213 _let_210 (SYMM (SYMM _let_205)) (CONG _let_204 _let_203 :args _let_199)) :args (_let_100 _let_145 _let_65 _let_62 _let_61 _let_58))) :args (_let_100 _let_58 _let_61 _let_62 _let_65 _let_145))) :args (true _let_198)) :args ((or _let_148 _let_197 _let_196 _let_195 _let_146 _let_194 (not _let_145)))))) (let ((_let_218 (not _let_97))) (let ((_let_219 (not _let_95))) (let 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((_let_279 (CONG _let_254 _let_278 :args _let_199))) (let ((_let_280 (ASSUME :args (_let_66)))) (let ((_let_281 (SYMM _let_280))) (let ((_let_282 (SYMM _let_281))) (let ((_let_283 (CONG (TRANS _let_282 _let_279 _let_277) _let_268 :args _let_199))) (let ((_let_284 (ASSUME :args (_let_102)))) (let ((_let_285 (SYMM _let_284))) (let ((_let_286 (SYMM _let_285))) (let ((_let_287 (ASSUME :args (_let_99)))) (let ((_let_288 (SYMM _let_287))) (let ((_let_289 (CONG _let_253 _let_207 :args _let_199))) (let ((_let_290 (CNF_AND_NEG :args (_let_228)))) (let ((_let_291 (REORDERING (RESOLUTION _let_290 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_231 _let_215 _let_236 _let_239 _let_243 _let_208 _let_206 _let_211 _let_248 _let_254 _let_256 _let_259 _let_266 _let_273 _let_275 _let_280 _let_284 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_289 _let_288 _let_286 _let_283 _let_274 _let_272 _let_264 _let_255 _let_215 (CONG _let_253 _let_253 :args _let_199)) :args (_let_100 _let_63 _let_58 _let_69 _let_94 _let_97 _let_65 _let_62 _let_61 _let_101 _let_76 _let_103 _let_72 _let_59 _let_95 _let_89 _let_66 _let_102 _let_99))) :args _let_230)) :args _let_229) :args ((or _let_182 _let_148 _let_147 _let_151 _let_150 _let_197 _let_227 _let_196 _let_195 _let_226 _let_194 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_167 _let_219 _let_218))))) (let ((_let_292 (CONG _let_233 _let_250 :args _let_199))) (let ((_let_293 (CONG _let_251 (TRANS _let_249 _let_206 _let_247 _let_213 _let_210) :args _let_199))) (let ((_let_294 (SYMM _let_293))) (let ((_let_295 (REORDERING (RESOLUTION _let_290 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_248 _let_231 _let_215 _let_236 _let_239 _let_243 _let_208 _let_206 _let_211 _let_254 _let_256 _let_200 _let_259 _let_266 _let_273 _let_275 _let_280 _let_284 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 (CONG (TRANS _let_236 _let_293 _let_246 _let_242 _let_203) _let_207 :args _let_199) _let_288 _let_286 _let_283 _let_274 (CONG _let_263 (TRANS _let_271 _let_270 _let_269 _let_267 _let_202 _let_265 _let_245 _let_294 _let_237 _let_261) :args _let_199) (CONG _let_263 (TRANS _let_262 _let_236 _let_293 _let_246 _let_242 _let_203 _let_258) :args _let_199) _let_255 _let_236 _let_293 _let_246 _let_242 _let_292) :args (_let_101 _let_63 _let_58 _let_69 _let_94 _let_97 _let_65 _let_62 _let_61 _let_76 _let_103 _let_100 _let_72 _let_59 _let_95 _let_89 _let_66 _let_102 _let_99))) :args _let_230)) :args _let_229) :args ((or _let_182 _let_148 _let_147 _let_151 _let_150 _let_197 _let_227 _let_196 _let_195 _let_165 _let_226 _let_194 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218))))) (let ((_let_296 (and _let_100 _let_101 _let_103 _let_58 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_72 _let_76 _let_89 _let_94 _let_97))) (let ((_let_297 (APPLY_UF tptp.inverse))) (let ((_let_298 (CONG (TRANS _let_282 _let_279 _let_277 _let_264 _let_255) :args _let_297))) (let ((_let_299 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_296)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_231 _let_215 _let_236 _let_239 _let_243 _let_208 _let_206 _let_211 _let_248 _let_254 _let_256 _let_259 _let_275 _let_280) (SCOPE (TRANS _let_258 _let_298 (CONG _let_253 :args _let_297)) :args (_let_100 _let_63 _let_58 _let_69 _let_94 _let_97 _let_65 _let_62 _let_61 _let_101 _let_76 _let_103 _let_72 _let_89 _let_66))) :args (_let_100 _let_101 _let_103 _let_58 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_72 _let_76 _let_89 _let_94 _let_97))) :args (true _let_296)) :args ((or _let_148 _let_147 _let_150 _let_197 _let_196 _let_195 _let_226 _let_194 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_164 _let_218))))) (let ((_let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_153 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_108 :args (_let_155 false _let_107)))) (let ((_let_301 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_108 :args (_let_161 false _let_107)))) (let ((_let_302 (not _let_161))) (let ((_let_303 (not _let_155))) (let ((_let_304 (and _let_99 _let_100 _let_101 _let_102 _let_103 _let_58 _let_155 _let_59 _let_61 _let_62 _let_63 _let_65 _let_161 _let_66 _let_69 _let_72 _let_76 _let_89 _let_94 _let_95 _let_97))) (let ((_let_305 (= tptp.sk_c12 _let_154))) (let ((_let_306 (ASSUME :args (_let_161)))) (let ((_let_307 (SYMM (SYMM _let_306)))) (let ((_let_308 (SYMM (SYMM (ASSUME :args (_let_305)))))) (let ((_let_309 (ASSUME :args (_let_155)))) (let ((_let_310 (SYMM _let_309))) (let ((_let_311 (SYMM _let_310))) (let ((_let_312 (MODUS_PONENS (AND_INTRO _let_309 _let_254 _let_256 _let_200 _let_231 _let_215 _let_236 _let_239 _let_243 _let_208 _let_206 _let_211 _let_248 _let_259 _let_275 _let_280 _let_266 _let_273 _let_284 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_289 _let_288 _let_286 _let_283 _let_274 _let_272 _let_264 _let_255 _let_236 _let_252 _let_246 _let_242 _let_203 _let_258 _let_298 _let_311) :args (_let_155 _let_76 _let_103 _let_100 _let_63 _let_58 _let_69 _let_94 _let_97 _let_65 _let_62 _let_61 _let_101 _let_72 _let_89 _let_66 _let_59 _let_95 _let_102 _let_99))))) (let ((_let_313 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_304)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_306 _let_248 _let_312 _let_309) (SCOPE (TRANS _let_311 (SYMM _let_308) _let_250 _let_307) :args (_let_161 _let_101 _let_305 _let_155))) :args (_let_99 _let_100 _let_101 _let_102 _let_103 _let_58 _let_155 _let_59 _let_61 _let_62 _let_63 _let_65 _let_161 _let_66 _let_69 _let_72 _let_76 _let_89 _let_94 _let_95 _let_97))) :args (true _let_304)) :args ((or _let_182 _let_148 _let_147 _let_151 _let_150 _let_303 _let_197 _let_227 _let_196 _let_195 _let_162 _let_226 _let_194 _let_302 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218))))) (let ((_let_314 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_74 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_108 :args (_let_157 false _let_107)))) (let ((_let_315 (not _let_157))) (let ((_let_316 (and _let_99 _let_100 _let_101 _let_102 _let_103 _let_58 _let_155 _let_59 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_72 _let_76 _let_157 _let_89 _let_94 _let_95 _let_97))) (let ((_let_317 (= _let_153 _let_156))) (let ((_let_318 (= _let_158 _let_74))) (let ((_let_319 (SYMM (ASSUME :args (_let_318))))) (let ((_let_320 (ASSUME :args (_let_157)))) (let ((_let_321 (SYMM _let_320))) (let ((_let_322 (SYMM (SYMM (ASSUME :args (_let_317)))))) (let ((_let_323 (SYMM _let_321))) (let ((_let_324 (CONG _let_255 _let_278 :args _let_199))) (let ((_let_325 (CONG _let_216 _let_214 :args _let_199))) (let ((_let_326 (CONG _let_251 (TRANS (CONG _let_209 _let_206 :args _let_199) _let_212 _let_325 _let_207 _let_250) :args _let_199))) (let ((_let_327 (CONG (TRANS _let_231 (CONG _let_215 _let_233 :args _let_199) (CONG _let_216 _let_231 :args _let_199) (CONG _let_236 _let_232 :args _let_199) _let_241) _let_214 :args _let_199))) (let ((_let_328 (CONG _let_260 _let_266 :args _let_199))) (let ((_let_329 (SYMM _let_327))) (let ((_let_330 (SYMM _let_326))) (let ((_let_331 (SYMM _let_325))) (let ((_let_332 (CONG (TRANS _let_206 _let_331 _let_211 (CONG (TRANS _let_236 _let_330 _let_244 _let_329 _let_201) _let_207 :args _let_199) _let_288 _let_286 (CONG (TRANS _let_280 (SYMM _let_324) _let_275) _let_268 :args _let_199) _let_274 (CONG _let_263 (TRANS _let_328 _let_270 _let_269 _let_267 _let_202 _let_327 _let_245 _let_326 _let_237 _let_261) :args _let_199) _let_276 _let_324 _let_281) :args _let_297))) (let ((_let_333 (CONG _let_249 :args _let_297))) (let ((_let_334 (CONG (TRANS _let_333 _let_332) :args _let_297))) (let ((_let_335 (CONG (TRANS _let_236 _let_330 _let_244 _let_329 _let_201 _let_258 (SYMM _let_332) (SYMM _let_333)) :args _let_297))) (let ((_let_336 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_316)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_280 _let_254 _let_275 _let_259 _let_236 _let_248 _let_206 _let_215 _let_211 _let_208 _let_243 _let_239 _let_231 _let_200 _let_266 _let_273 _let_284 _let_287 _let_256) (SCOPE (TRANS (CONG (TRANS (CONG (TRANS _let_254 (CONG _let_263 (TRANS _let_257 _let_202 _let_327 _let_245 _let_326 _let_237 _let_261) :args _let_199) _let_276 _let_324 _let_281) :args _let_297) _let_257 _let_202 _let_327 _let_245 _let_326 _let_237) :args _let_297) _let_335 _let_334) :args (_let_66 _let_76 _let_89 _let_72 _let_69 _let_101 _let_62 _let_58 _let_61 _let_65 _let_97 _let_94 _let_63 _let_100 _let_59 _let_95 _let_102 _let_99 _let_103))) _let_320 (MODUS_PONENS (AND_INTRO _let_320 _let_280 _let_254 _let_275 _let_259 _let_236 _let_248 _let_206 _let_215 _let_211 _let_208 _let_243 _let_239 _let_231 _let_200 _let_266 _let_273 _let_284 _let_287 _let_256) (SCOPE (TRANS _let_335 _let_334 _let_323) :args (_let_157 _let_66 _let_76 _let_89 _let_72 _let_69 _let_101 _let_62 _let_58 _let_61 _let_65 _let_97 _let_94 _let_63 _let_100 _let_59 _let_95 _let_102 _let_99 _let_103))) _let_309 _let_312 _let_248) (SCOPE (TRANS _let_249 _let_308 _let_310 _let_322 _let_321 _let_319) :args (_let_318 _let_157 _let_317 _let_155 _let_305 _let_101))) :args (_let_99 _let_100 _let_101 _let_102 _let_103 _let_58 _let_155 _let_59 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_72 _let_76 _let_157 _let_89 _let_94 _let_95 _let_97))) :args (true _let_316)) :args ((or _let_182 _let_148 _let_147 _let_151 _let_150 _let_303 _let_197 _let_227 _let_196 _let_195 _let_159 _let_226 _let_194 _let_225 _let_224 _let_223 _let_222 _let_315 _let_221 _let_220 _let_219 _let_218))))) (let ((_let_337 (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_171 _let_170 _let_169 _let_168 (not _let_172)))))) (let ((_let_338 (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_176 _let_175 (not _let_177)))))) (let ((_let_339 (_let_178))) (let ((_let_340 (ASSUME :args _let_339))) (let ((_let_341 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (tptp.sk_c4 tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_339)))) (let ((_let_342 (_let_181))) (let ((_let_343 (tptp.sk_c11 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_344 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_342) :args _let_343) :args _let_342)))) (let ((_let_345 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_346 (not _let_143))) (let ((_let_347 (not _let_144))) (let ((_let_348 (or _let_347 _let_346))) (let ((_let_349 (= tptp.sk_c11 _let_21))) (let ((_let_350 (tptp.inverse tptp.sk_c12))) (let ((_let_351 (tptp.multiply _let_350 tptp.sk_c12))) (let ((_let_352 (= tptp.identity _let_351))) (let ((_let_353 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_354 (tptp.multiply _let_33 tptp.sk_c1))) (let ((_let_355 (= tptp.identity _let_354))) (let ((_let_356 (= (tptp.multiply _let_354 tptp.sk_c12) (tptp.multiply _let_33 _let_39)))) (let ((_let_357 (= (tptp.multiply _let_351 tptp.sk_c11) (tptp.multiply _let_350 (tptp.multiply tptp.sk_c12 tptp.sk_c11))))) (let ((_let_358 (= tptp.identity (tptp.multiply _let_21 tptp.sk_c2)))) (let ((_let_359 (= tptp.sk_c10 _let_27))) (let ((_let_360 (REORDERING (CNF_OR_POS :args (_let_348)) :args ((or _let_347 _let_346 (not _let_348)))))) (let ((_let_361 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_185)))) (let ((_let_362 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_119) :args _let_126)))) (let ((_let_363 (MACRO_RESOLUTION_TRUST _let_362 _let_125 :args (_let_352 false _let_124)))) (let ((_let_364 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk_c1 QUANTIFIERS_INST_ENUM)) :args _let_126)))) (let ((_let_365 (MACRO_RESOLUTION_TRUST _let_364 _let_125 :args (_let_355 false _let_124)))) (let ((_let_366 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_33 tptp.sk_c1 tptp.sk_c12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)))) (let ((_let_367 (MACRO_RESOLUTION_TRUST _let_366 _let_116 :args (_let_356 false _let_54)))) (let ((_let_368 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_350 tptp.sk_c12 tptp.sk_c11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)))) (let ((_let_369 (MACRO_RESOLUTION_TRUST _let_368 _let_116 :args (_let_357 false _let_54)))) (let ((_let_370 (not _let_357))) (let ((_let_371 (not _let_356))) (let ((_let_372 (not _let_355))) (let ((_let_373 (not _let_352))) (let ((_let_374 (and _let_101 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_355 _let_356 _let_357))) (let ((_let_375 (ASSUME :args (_let_352)))) (let ((_let_376 (SYMM _let_375))) (let ((_let_377 (CONG _let_376 _let_266 :args _let_199))) (let ((_let_378 (ASSUME :args (_let_357)))) (let ((_let_379 (SYMM _let_378))) (let ((_let_380 (ASSUME :args (_let_143)))) (let ((_let_381 (SYMM _let_380))) (let ((_let_382 (CONG _let_381 _let_268 :args _let_199))) (let ((_let_383 (ASSUME :args (_let_144)))) (let ((_let_384 (SYMM _let_383))) (let ((_let_385 (REFL :args (_let_33)))) (let ((_let_386 (CONG _let_385 _let_384 :args _let_199))) (let ((_let_387 (ASSUME :args (_let_356)))) (let ((_let_388 (SYMM (SYMM _let_387)))) (let ((_let_389 (ASSUME :args (_let_355)))) (let ((_let_390 (SYMM (SYMM _let_389)))) (let ((_let_391 (CONG _let_390 _let_207 :args _let_199))) (let ((_let_392 (REFL :args (_let_350)))) (let ((_let_393 (CONG _let_392 (TRANS _let_206 _let_247 _let_213 _let_391 _let_388 _let_386 _let_382) :args _let_199))) (let ((_let_394 (TRANS _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267))) (let ((_let_395 (SYMM _let_394))) (let ((_let_396 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_374)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_248) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_391 _let_388 _let_386 _let_382 (CONG _let_250 _let_395 :args _let_199) (CONG _let_204 _let_394 :args _let_199)) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_101))) :args (_let_101 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_355 _let_356 _let_357))) :args (true _let_374)) :args ((or _let_147 _let_347 _let_346 _let_197 _let_227 _let_196 _let_195 _let_373 _let_146 _let_372 _let_371 _let_370))))) (let ((_let_397 (and _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) (let ((_let_398 (CONG _let_394 :args _let_297))) (let ((_let_399 (RESOLUTION (CNF_AND_NEG :args (_let_397)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_254 _let_256 _let_259 _let_275 _let_280) (SCOPE (TRANS _let_258 (CONG (TRANS _let_282 _let_279 _let_277 (CONG _let_263 (TRANS _let_260 _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_258) :args _let_199) _let_255) :args _let_297) _let_398) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_76 _let_103 _let_72 _let_89 _let_66))) :args (_let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) :args (true _let_397)))) (let ((_let_400 (and _let_99 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) (let ((_let_401 (CONG _let_394 _let_394 :args _let_199))) (let ((_let_402 (SYMM _let_393))) (let ((_let_403 (SYMM _let_377))) (let ((_let_404 (SYMM _let_270))) (let ((_let_405 (SYMM _let_269))) (let ((_let_406 (SYMM _let_258))) (let ((_let_407 (TRANS _let_406 _let_266 _let_405 _let_404 _let_403 _let_378 _let_402 _let_376))) (let ((_let_408 (CONG (TRANS _let_282 _let_279 _let_277 (CONG _let_263 (TRANS _let_262 _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_258) :args _let_199) _let_255) _let_407 :args _let_199))) (let ((_let_409 (CONG _let_278 (SYMM _let_407) :args _let_199))) (let ((_let_410 (CONG _let_278 _let_395 :args _let_199))) (let ((_let_411 (SYMM _let_288))) (let ((_let_412 (SYMM _let_411))) (let ((_let_413 (CONG _let_394 _let_207 :args _let_199))) (let ((_let_414 (RESOLUTION (CNF_AND_NEG :args (_let_400)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_254 _let_256 _let_259 _let_275 _let_280 _let_284 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_413 _let_412 _let_286 _let_410 _let_409 _let_408 _let_401) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_76 _let_103 _let_72 _let_89 _let_66 _let_102 _let_99))) :args (_let_99 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) :args (true _let_400)))) (let ((_let_415 (and _let_99 _let_100 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) (let ((_let_416 (TRANS _let_266 _let_405 _let_404 _let_403 _let_378 _let_402 _let_376))) (let ((_let_417 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_415)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_248 _let_200 _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_254 _let_256 _let_259 _let_275 _let_280 _let_284 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 (CONG (SYMM _let_416) _let_207 :args _let_199) _let_412 _let_286 (CONG _let_278 _let_416 :args _let_199) _let_409 _let_408 _let_216 _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_202 _let_292) :args (_let_101 _let_100 _let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_76 _let_103 _let_72 _let_89 _let_66 _let_102 _let_99))) :args (_let_99 _let_100 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) :args (true _let_415)) :args ((or _let_182 _let_148 _let_147 _let_151 _let_150 _let_347 _let_346 _let_197 _let_227 _let_196 _let_195 _let_373 _let_165 _let_225 _let_223 _let_222 _let_372 _let_371 _let_370 _let_221))))) (let ((_let_418 (and _let_99 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_161 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) (let ((_let_419 (SYMM _let_213))) (let ((_let_420 (CONG _let_392 (TRANS (CONG (SYMM _let_381) _let_268 :args _let_199) (CONG _let_385 (SYMM _let_384) :args _let_199) (SYMM _let_388) (CONG (SYMM _let_390) _let_206 :args _let_199) _let_419 _let_325 _let_207) :args _let_199))) (let ((_let_421 (SYMM _let_379))) (let ((_let_422 (CONG _let_375 _let_267 :args _let_199))) (let ((_let_423 (CONG _let_216 _let_266 :args _let_199))) (let ((_let_424 (CONG _let_215 _let_268 :args _let_199))) (let ((_let_425 (TRANS _let_266 _let_424 _let_423 _let_422 _let_421 _let_420 _let_376))) (let ((_let_426 (SYMM _let_425))) (let ((_let_427 (TRANS _let_406 _let_266 _let_424 _let_423 _let_422 _let_421 _let_420 _let_376))) (let ((_let_428 (TRANS _let_254 (CONG _let_263 (TRANS _let_406 _let_266 _let_424 _let_423 _let_422 _let_421 _let_420 _let_376 _let_261) :args _let_199) _let_276 _let_324 _let_281))) (let ((_let_429 (MODUS_PONENS (AND_INTRO _let_306 _let_248 _let_206 _let_215 _let_211 _let_375 _let_389 _let_387 _let_383 _let_380 _let_378 _let_266 _let_287 _let_284 _let_256 _let_280 _let_254 _let_275 _let_259) (SCOPE (TRANS (CONG _let_428 :args _let_297) _let_406 _let_266 _let_424 _let_423 _let_422 _let_421 _let_420 _let_376 _let_215 (CONG _let_428 (SYMM _let_427) :args _let_199) (CONG _let_278 _let_427 :args _let_199) (CONG _let_278 _let_426 :args _let_199) _let_285 _let_411 (CONG _let_425 _let_206 :args _let_199) _let_419 _let_325 _let_207 _let_250 _let_307) :args (_let_161 _let_101 _let_62 _let_58 _let_61 _let_352 _let_355 _let_356 _let_144 _let_143 _let_357 _let_59 _let_99 _let_102 _let_103 _let_66 _let_76 _let_89 _let_72))))) (let ((_let_430 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_418)) (IMPLIES_ELIM (SCOPE _let_429 :args (_let_99 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_161 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) :args (true _let_418)) :args ((or _let_182 _let_147 _let_151 _let_150 _let_347 _let_346 _let_197 _let_227 _let_196 _let_195 _let_373 _let_162 _let_302 _let_225 _let_223 _let_222 _let_372 _let_371 _let_370 _let_221))))) (let ((_let_431 (and _let_99 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_161 _let_66 _let_72 _let_76 _let_157 _let_355 _let_356 _let_357 _let_89))) (let ((_let_432 (CONG (TRANS _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_258) :args _let_297))) (let ((_let_433 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_431)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_256 _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_280 _let_254 _let_275 _let_259) (SCOPE (TRANS (CONG (TRANS (CONG (TRANS _let_254 (CONG _let_263 (TRANS _let_257 _let_266 _let_405 _let_404 _let_403 _let_378 _let_402 _let_376 _let_261) :args _let_199) _let_276 _let_324 _let_281) :args _let_297) _let_257 _let_266 _let_405 _let_404 _let_403 _let_378 _let_402 _let_376) :args _let_297) _let_432) :args (_let_103 _let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_66 _let_76 _let_89 _let_72))) _let_320 (MODUS_PONENS (AND_INTRO _let_320 _let_256 _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211) (SCOPE (TRANS _let_432 _let_323) :args (_let_157 _let_103 _let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61))) _let_429 _let_306) (SCOPE (TRANS _let_307 (SYMM (ASSUME :args (_let_162))) _let_322 _let_321 _let_319) :args (_let_318 _let_157 _let_317 _let_162 _let_161))) :args (_let_99 _let_101 _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_161 _let_66 _let_72 _let_76 _let_157 _let_355 _let_356 _let_357 _let_89))) :args (true _let_431)) :args ((or _let_182 _let_147 _let_151 _let_150 _let_347 _let_346 _let_197 _let_227 _let_196 _let_195 _let_373 _let_159 _let_302 _let_225 _let_223 _let_222 _let_315 _let_372 _let_371 _let_370 _let_221))))) (let ((_let_434 (= tptp.sk_c10 _let_166))) (let ((_let_435 (not _let_434))) (let ((_let_436 (or _let_435 _let_175))) (let ((_let_437 (and _let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) (let ((_let_438 (TRANS _let_257 _let_266 _let_405 _let_404 _let_403 _let_378 _let_402 _let_376))) (let ((_let_439 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args _let_343) :args _let_188)) (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_175 _let_435 (not _let_436)))) (RESOLUTION (CNF_AND_NEG :args (_let_437)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_254 _let_256 _let_259 _let_275 _let_280 _let_284) (SCOPE (TRANS _let_286 _let_410 (CONG _let_278 (SYMM _let_438) :args _let_199) (CONG (TRANS _let_282 _let_279 _let_277 (CONG _let_263 (TRANS _let_260 _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_256) :args _let_199) _let_255) _let_438 :args _let_199) _let_401) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_76 _let_103 _let_72 _let_89 _let_66 _let_102))) :args (_let_102 _let_103 _let_144 _let_143 _let_58 _let_59 _let_61 _let_62 _let_352 _let_66 _let_72 _let_76 _let_355 _let_356 _let_357 _let_89))) :args (true _let_437)) _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_399 _let_110 _let_113 _let_117 _let_120 _let_362 _let_129 _let_108 _let_133 _let_135 _let_364 _let_125 _let_366 _let_368 _let_138 _let_116 :args ((or _let_151 _let_150 _let_347 _let_346 (not _let_174)) true _let_436 false _let_434 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_164 false _let_58 false _let_59 false _let_61 false _let_62 false _let_352 false _let_66 false _let_107 false _let_72 false _let_76 false _let_355 false _let_124 false _let_356 false _let_357 false _let_89 false _let_54)))) (let ((_let_440 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.sk_c2 QUANTIFIERS_INST_ENUM)) :args _let_109)) _let_108 :args (_let_353 false _let_107)))) (let ((_let_441 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk_c2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_126)) _let_125 :args (_let_358 false _let_124)))) (let ((_let_442 (and _let_144 _let_143 _let_349 _let_58 _let_59 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) (let ((_let_443 (true _let_442))) (let ((_let_444 (_let_144 _let_143 _let_349 _let_58 _let_59 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) (let ((_let_445 (ASSUME :args (_let_358)))) (let ((_let_446 (SYMM _let_445))) (let ((_let_447 (REFL :args (tptp.sk_c2)))) (let ((_let_448 (ASSUME :args (_let_349)))) (let ((_let_449 (SYMM (SYMM _let_448)))) (let ((_let_450 (ASSUME :args (_let_353)))) (let ((_let_451 (SYMM (SYMM _let_450)))) (let ((_let_452 (TRANS _let_451 (CONG (TRANS _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_449) _let_447 :args _let_199) _let_446))) (let ((_let_453 (CONG _let_452 :args _let_297))) (let ((_let_454 (CNF_AND_NEG :args (_let_442)))) (let ((_let_455 (RESOLUTION _let_454 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_445 _let_448 _let_450) (SCOPE (TRANS _let_449 _let_453 _let_398) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_358 _let_349 _let_353))) :args _let_444)) :args _let_443))) (let ((_let_456 (tptp.multiply tptp.identity _let_163))) (let ((_let_457 (= _let_163 _let_456))) (let ((_let_458 (= _let_153 _let_456))) (let ((_let_459 (not _let_349))) (let ((_let_460 (not _let_359))) (let ((_let_461 (or _let_460 _let_459))) (let ((_let_462 (= _let_158 _let_163))) (let ((_let_463 (= tptp.sk_c12 (tptp.multiply tptp.sk_c11 _let_163)))) (let ((_let_464 (tptp.multiply _let_163 tptp.sk_c11))) (let ((_let_465 (= tptp.identity _let_464))) (let ((_let_466 (= tptp.sk_c12 _let_464))) (let ((_let_467 (not _let_458))) (let ((_let_468 (not _let_462))) (let ((_let_469 (not _let_466))) (let ((_let_470 (not _let_463))) (let ((_let_471 (or _let_470 _let_469 _let_468 _let_467))) (let ((_let_472 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_163 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)))) (let ((_let_473 (not _let_457))) (let ((_let_474 (and _let_144 _let_143 _let_58 _let_59 _let_457 _let_61 _let_62 _let_352 _let_355 _let_356 _let_357))) (let ((_let_475 (ASSUME :args (_let_457)))) (let ((_let_476 (SYMM (SYMM _let_475)))) (let ((_let_477 (not _let_358))) (let ((_let_478 (not _let_353))) (let ((_let_479 (SYMM _let_449))) (let ((_let_480 (and _let_99 _let_144 _let_143 _let_359 _let_349 _let_58 _let_59 _let_457 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) (let ((_let_481 (CONG _let_452 _let_395 :args _let_199))) (let ((_let_482 (ASSUME :args (_let_359)))) (let ((_let_483 (SYMM (SYMM _let_482)))) (let ((_let_484 (and _let_99 _let_144 _let_143 _let_359 _let_349 _let_58 _let_59 _let_465 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) (let ((_let_485 (ASSUME :args (_let_465)))) (let ((_let_486 (and _let_99 _let_144 _let_143 _let_359 _let_349 _let_58 _let_59 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) (let ((_let_487 (MACRO_RESOLUTION_TRUST _let_345 _let_344 _let_192 _let_191 _let_341 _let_338 _let_190 _let_187 _let_337 _let_291 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_111 _let_295 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_111 _let_299 _let_142 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_111 _let_313 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_301 _let_127 _let_123 _let_121 _let_118 _let_114 _let_300 _let_111 _let_336 _let_142 _let_141 _let_140 _let_139 _let_314 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_300 _let_111 _let_184 _let_183 _let_217 _let_193 _let_127 _let_121 _let_118 _let_111 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_144))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_102 _let_144))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_101 _let_144))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_100 _let_144))) (MACRO_RESOLUTION_TRUST _let_345 _let_344 _let_341 _let_338 _let_192 _let_337 _let_414 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_417 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_430 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_301 _let_363 _let_121 _let_118 _let_114 _let_111 _let_433 _let_139 _let_369 _let_367 _let_365 _let_314 _let_136 _let_134 _let_130 _let_301 _let_363 _let_121 _let_118 _let_114 _let_111 _let_439 _let_396 _let_369 _let_367 _let_365 _let_363 _let_121 _let_118 _let_114 _let_111 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_359))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_102 _let_359))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_101 _let_359))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_100 _let_359))) (MACRO_RESOLUTION_TRUST _let_338 (RESOLUTION (CNF_AND_NEG :args (_let_486)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_445 _let_448 _let_450 _let_482 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_413 _let_288 _let_483 _let_481 _let_401) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_358 _let_349 _let_353 _let_359 _let_99))) :args (_let_99 _let_144 _let_143 _let_359 _let_349 _let_58 _let_59 _let_61 _let_62 _let_352 _let_353 _let_355 _let_356 _let_357 _let_358))) :args (true _let_486)) _let_441 _let_369 _let_367 _let_365 _let_440 _let_363 _let_121 _let_118 _let_114 _let_111 _let_455 _let_441 _let_369 _let_367 _let_365 _let_440 _let_363 _let_121 _let_118 _let_114 _let_111 _let_344 _let_345 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_340 :args (tptp.sk_c11 tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_339))) (REORDERING (CNF_OR_POS :args (_let_471)) :args ((or 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_let_459 _let_197 _let_466 _let_227 (not _let_465) _let_196 _let_195 _let_373 _let_478 _let_372 _let_371 _let_370 _let_477))) _let_441 _let_369 _let_367 _let_365 _let_440 _let_363 _let_121 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_112) :args _let_126)) _let_125 :args (_let_465 false _let_124)) _let_114 _let_111 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_480)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211 _let_475 _let_445 _let_448 _let_450 _let_482 _let_287) (SCOPE (TRANS _let_206 _let_247 _let_213 _let_413 _let_288 _let_483 _let_481 _let_216 _let_375 _let_393 _let_379 _let_377 _let_270 _let_269 _let_267 _let_449 _let_453 _let_398 _let_476 (CONG _let_394 (REFL :args (_let_163)) :args _let_199)) :args (_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_457 _let_358 _let_349 _let_353 _let_359 _let_99))) :args 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(_let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61 _let_349 _let_353 _let_358))) :args _let_444)) :args _let_443) :args ((or _let_347 _let_346 _let_459 _let_197 _let_462 _let_227 _let_196 _let_195 _let_373 _let_478 _let_372 _let_371 _let_370 _let_477))) _let_441 _let_369 _let_367 _let_365 _let_440 _let_363 _let_121 _let_118 _let_114 _let_111 _let_192 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (tptp.sk_c2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_188)) (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_460 _let_459 (not _let_461)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_474)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_475 _let_266 _let_215 _let_375 _let_378 _let_380 _let_383 _let_387 _let_389 _let_206 _let_211) (SCOPE (TRANS _let_398 _let_476) :args (_let_457 _let_59 _let_58 _let_352 _let_357 _let_143 _let_144 _let_356 _let_355 _let_62 _let_61))) :args (_let_144 _let_143 _let_58 _let_59 _let_457 _let_61 _let_62 _let_352 _let_355 _let_356 _let_357))) :args (true _let_474)) :args ((or _let_347 _let_346 _let_197 _let_458 _let_227 _let_473 _let_196 _let_195 _let_373 _let_372 _let_371 _let_370))) _let_110 _let_113 _let_472 _let_117 _let_120 _let_108 _let_362 _let_364 _let_125 _let_366 _let_368 _let_116 _let_191 _let_361 _let_360 :args ((or _let_182 _let_347 _let_346 _let_460 _let_459) false _let_167 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_164 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_177 false _let_181 true _let_178 true _let_471 false _let_466 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_465 false _let_59 false _let_58 false _let_463 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_457 false _let_59 false _let_58 false _let_462 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 true _let_180 true _let_174 true _let_461 false _let_458 false _let_58 false _let_59 false _let_457 false _let_61 false _let_62 false _let_107 false _let_352 false _let_355 false _let_124 false _let_356 false _let_357 false _let_54 true _let_179 true _let_173 true _let_348)) _let_455 _let_441 _let_369 _let_367 _let_365 _let_440 _let_363 _let_121 _let_118 _let_114 _let_111 (MACRO_RESOLUTION_TRUST _let_345 _let_192 _let_439 _let_344 _let_341 _let_338 _let_337 _let_433 _let_139 _let_369 _let_367 _let_365 _let_314 _let_136 _let_134 _let_130 _let_301 _let_363 _let_121 _let_118 _let_114 _let_111 _let_430 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_301 _let_363 _let_121 _let_118 _let_114 _let_111 _let_417 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_414 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_399 _let_139 _let_369 _let_367 _let_365 _let_136 _let_134 _let_130 _let_363 _let_121 _let_118 _let_114 _let_111 _let_396 _let_369 _let_367 _let_365 _let_363 _let_121 _let_118 _let_114 _let_111 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_349))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_102 _let_349))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_101 _let_349))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_100 _let_349))) _let_191 _let_361 _let_360 :args ((or _let_349 _let_182 _let_347 _let_346) true _let_180 true _let_174 true _let_181 true _let_178 true _let_177 true _let_172 false _let_159 false _let_89 false _let_357 false _let_356 false _let_355 false _let_157 false _let_76 false _let_72 false _let_66 false _let_161 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_162 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_161 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_165 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_167 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_164 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_146 false _let_357 false _let_356 false _let_355 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_103 false _let_102 false _let_101 false _let_100 true _let_179 true _let_173 true _let_348)) _let_191 _let_361 _let_360 :args ((or _let_182 _let_347 _let_346) true _let_181 true _let_178 true _let_177 true _let_180 true _let_172 false _let_167 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_165 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_162 false _let_89 false _let_357 false _let_356 false _let_355 false _let_76 false _let_72 false _let_66 false _let_161 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_159 false _let_89 false _let_357 false _let_356 false _let_355 false _let_157 false _let_76 false _let_72 false _let_66 false _let_161 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 true _let_174 false _let_146 false _let_357 false _let_356 false _let_355 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_103 false _let_102 false _let_101 false _let_100 true _let_359 false _let_164 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 false _let_352 false _let_62 false _let_61 false _let_59 false _let_58 false _let_349 true _let_179 true _let_173 true _let_348)) (MACRO_RESOLUTION_TRUST _let_345 _let_344 _let_341 _let_338 _let_337 _let_336 _let_142 _let_141 _let_140 _let_139 _let_314 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_300 _let_111 _let_313 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_301 _let_127 _let_123 _let_121 _let_118 _let_114 _let_300 _let_111 _let_299 _let_142 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_111 _let_295 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_111 _let_291 _let_142 _let_141 _let_140 _let_139 _let_136 _let_134 _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_111 _let_217 _let_193 _let_127 _let_121 _let_118 _let_111 _let_192 _let_191 _let_190 _let_187 _let_184 _let_183 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_103 _let_143))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_102 _let_143))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_101 _let_143))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_100 _let_143))) :args ((or _let_143 _let_182) true _let_181 true _let_178 true _let_177 true _let_172 false _let_159 false _let_97 false _let_95 false _let_94 false _let_89 false _let_157 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_155 false _let_58 false _let_162 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_161 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_155 false _let_58 false _let_164 false _let_97 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_58 false _let_165 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58 false _let_167 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58 false _let_146 false _let_145 false _let_65 false _let_62 false _let_61 false _let_58 true _let_180 true _let_179 true _let_174 true _let_173 true _let_152 true _let_149 false _let_103 false _let_102 false _let_101 false _let_100)) :args (_let_182 true _let_181 true _let_180 true _let_179 true _let_178 true _let_177 true _let_174 true _let_173 true _let_172 false _let_167 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58 false _let_165 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58 false _let_164 false _let_97 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_58 false _let_162 false _let_97 false _let_95 false _let_94 false _let_89 false _let_76 false _let_72 false _let_69 false _let_66 false _let_161 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_155 false _let_58 false _let_159 false _let_97 false _let_95 false _let_94 false _let_89 false _let_157 false _let_76 false _let_72 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_155 false _let_58 true _let_152 true _let_149 false _let_146 false _let_145 false _let_65 false _let_62 false _let_61 false _let_58 false _let_103 false _let_102 false _let_101 false _let_100 true _let_144 false _let_143)))) (let ((_let_488 (and _let_100 _let_101 _let_102 _let_103 _let_104 _let_105 _let_106 _let_58 _let_59 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_70 _let_72 _let_73 _let_76 _let_78 _let_79 _let_82 _let_84 _let_87 _let_89 _let_90 _let_92 _let_94 _let_95 _let_97 _let_98))) (let ((_let_489 (CONG (TRANS _let_240 _let_238 _let_235 _let_234 _let_232) _let_214 :args _let_199))) (let ((_let_490 (ASSUME :args (_let_104)))) (let ((_let_491 (ASSUME :args (_let_105)))) (let ((_let_492 (REFL :args (tptp.sk_c6)))) (let ((_let_493 (ASSUME :args (_let_70)))) (let ((_let_494 (ASSUME :args (_let_82)))) (let ((_let_495 (ASSUME :args (_let_90)))) (let ((_let_496 (ASSUME :args (_let_78)))) (let ((_let_497 (SYMM _let_489))) (let ((_let_498 (ASSUME :args (_let_84)))) (let ((_let_499 (ASSUME :args (_let_106)))) (let ((_let_500 (SYMM _let_499))) (let ((_let_501 (ASSUME :args (_let_92)))) (let ((_let_502 (SYMM _let_501))) (let ((_let_503 (ASSUME :args (_let_87)))) (let ((_let_504 (SYMM (SYMM _let_503)))) (let ((_let_505 (CONG _let_504 (REFL :args (tptp.sk_c7)) :args _let_199))) (let ((_let_506 (ASSUME :args (_let_79)))) (let ((_let_507 (SYMM _let_506))) (let ((_let_508 (ASSUME :args (_let_98)))) (let ((_let_509 (ASSUME :args (_let_73)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_488)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_231 _let_215 _let_236 _let_239 _let_243 _let_208 _let_206 _let_211 _let_248 _let_490 _let_491 _let_493 _let_494 _let_495 _let_496 _let_499 _let_498 _let_501 _let_503 _let_506 _let_508 _let_509 _let_254 _let_256 _let_259 _let_266 _let_273 _let_275 _let_280 _let_284) (SCOPE (TRANS _let_286 _let_283 _let_274 (CONG _let_263 (TRANS _let_328 _let_270 _let_269 _let_267 _let_200 _let_497 _let_243 _let_294 _let_237 _let_259) :args _let_199) (CONG _let_263 (TRANS _let_260 _let_236 _let_293 _let_244 _let_489 _let_201 _let_258) :args _let_199) _let_255 _let_504 (CONG (REFL :args (_let_85)) (TRANS _let_500 (SYMM (SYMM _let_509)) (CONG _let_498 (REFL :args (tptp.sk_c9)) :args _let_199)) :args _let_199) (SYMM _let_508) (CONG (TRANS (TRANS _let_502 (SYMM _let_505) _let_507) (TRANS (SYMM _let_507) _let_505 (SYMM _let_502) (CONG (CONG _let_500 :args _let_297) (TRANS (SYMM _let_498) _let_236 _let_293 _let_244 _let_489 _let_201) :args _let_199) (CONG (CONG _let_491 :args _let_297) (TRANS _let_200 _let_497 _let_243 _let_294 _let_237 (SYMM (SYMM _let_496))) :args _let_199) (SYMM _let_495) (CONG (SYMM _let_494) _let_492 :args _let_199) (SYMM _let_493))) _let_491 :args _let_199) (CONG _let_492 (SYMM _let_491) :args _let_199) (SYMM _let_490) _let_206 _let_247 _let_213 (CONG (TRANS _let_236 _let_293 _let_244 _let_489 _let_201) _let_207 :args _let_199)) :args (_let_100 _let_63 _let_58 _let_69 _let_94 _let_97 _let_65 _let_62 _let_61 _let_101 _let_104 _let_105 _let_70 _let_82 _let_90 _let_78 _let_106 _let_84 _let_92 _let_87 _let_79 _let_98 _let_73 _let_76 _let_103 _let_72 _let_59 _let_95 _let_89 _let_66 _let_102))) :args (_let_100 _let_101 _let_102 _let_103 _let_104 _let_105 _let_106 _let_58 _let_59 _let_61 _let_62 _let_63 _let_65 _let_66 _let_69 _let_70 _let_72 _let_73 _let_76 _let_78 _let_79 _let_82 _let_84 _let_87 _let_89 _let_90 _let_92 _let_94 _let_95 _let_97 _let_98))) :args (true _let_488)) :args ((or _let_99 _let_148 _let_147 _let_151 _let_150 (not _let_104) (not _let_105) (not _let_106) _let_197 _let_227 _let_196 _let_195 _let_226 _let_194 _let_225 _let_224 (not _let_70) _let_223 (not _let_73) _let_222 (not _let_78) (not _let_79) (not _let_82) (not _let_84) (not _let_87) _let_221 (not _let_90) (not _let_92) _let_220 _let_219 _let_218 (not _let_98)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_106 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_105 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_104 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_103 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_102 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_101 true _let_99)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))) _let_487 :args (_let_100 true _let_99)) _let_487 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_85 _let_83 tptp.sk_c9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_98 false _let_54)) _let_142 _let_141 _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_85 _let_4 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_92 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_80 _let_8 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_116 :args (_let_90 false _let_54)) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_126)) _let_125 :args (_let_87 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_137) :args _let_126)) _let_125 :args (_let_84 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_126)) _let_125 :args (_let_82 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_137) :args _let_109)) _let_108 :args (_let_79 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args _let_132) :args _let_126)) _let_125 :args (_let_78 false _let_124)) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.sk_c9 QUANTIFIERS_INST_ENUM)) :args _let_109)) _let_108 :args (_let_73 false _let_107)) _let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_132) :args _let_109)) _let_108 :args (_let_70 false _let_107)) _let_131 _let_130 _let_127 _let_123 _let_121 _let_118 _let_114 _let_111 :args (false false _let_106 false _let_105 false _let_104 false _let_103 false _let_102 false _let_101 false _let_100 true _let_99 false _let_98 false _let_97 false _let_95 false _let_94 false _let_92 false _let_90 false _let_89 false _let_87 false _let_84 false _let_82 false _let_79 false _let_78 false _let_76 false _let_73 false _let_72 false _let_70 false _let_69 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_59 false _let_58)) :args (_let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 (or _let_46 _let_7) (or _let_46 _let_6) _let_47 (or _let_46 _let_2) _let_44 _let_43 _let_42 _let_41 (or _let_40 _let_11) (or _let_40 _let_9) (or _let_40 _let_7) (or _let_40 _let_6) (or _let_40 _let_5) (or _let_40 _let_2) _let_38 _let_37 _let_36 _let_35 (or _let_34 _let_11) (or _let_34 _let_9) (or _let_34 _let_7) (or _let_34 _let_6) (or _let_34 _let_5) (or _let_34 _let_2) _let_32 _let_31 _let_30 _let_29 (or _let_28 _let_11) (or _let_28 _let_9) (or _let_28 _let_7) (or _let_28 _let_6) (or _let_28 _let_5) (or _let_28 _let_2) _let_26 _let_25 _let_24 _let_23 (or _let_22 _let_11) (or _let_22 _let_9) (or _let_22 _let_7) (or _let_22 _let_6) (or _let_22 _let_5) (or _let_22 _let_2) (or _let_20 _let_19) (or _let_20 _let_17) (or _let_20 _let_15) (or _let_20 _let_13) (or _let_20 _let_11) (or _let_20 _let_9) (or _let_20 _let_7) (or _let_20 _let_6) (or _let_20 _let_5) (or _let_20 _let_2) (or _let_3 _let_19) (or _let_3 _let_17) (or _let_3 _let_15) (or _let_3 _let_13) (or _let_3 _let_11) (or _let_3 _let_9) (or _let_3 _let_7) (or _let_3 _let_6) (or _let_3 _let_5) (or _let_3 _let_2) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.85/11.09  )
% 10.85/11.09  % SZS output end Proof for GRP312-1
% 10.85/11.09  % cvc5---1.0.5 exiting
% 10.85/11.09  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------