TSTP Solution File: MSC007-2.005 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 09:21:33 EDT 2023
% Result : Unsatisfiable 0.22s 0.59s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n016.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 : Thu Aug 24 14:09:24 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.IhFjfsq8BD/cvc5---1.0.5_17497.p...
% 0.22/0.51 ------- get file name : TPTP file name is MSC007-2.005
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17497.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.59 % SZS status Unsatisfiable for MSC007-2.005
% 0.22/0.59 % SZS output start Proof for MSC007-2.005
% 0.22/0.63 (
% 0.22/0.63 (let ((_let_1 (forall ((Hole $$unsorted) (Pigeon1 $$unsorted) (Pigeon2 $$unsorted)) (or (not (tptp.hole Hole)) (not (tptp.pigeon Pigeon1)) (not (tptp.pigeon Pigeon2)) (not (tptp.in Pigeon1 Hole)) (not (tptp.in Pigeon2 Hole)) (= Pigeon1 Pigeon2))))) (let ((_let_2 (forall ((X $$unsorted)) (or (not (tptp.pigeon X)) (tptp.in X (tptp.hole_of X)))))) (let ((_let_3 (forall ((X $$unsorted)) (or (not (tptp.pigeon X)) (tptp.hole (tptp.hole_of X)))))) (let ((_let_4 (forall ((Hole $$unsorted)) (or (not (tptp.hole Hole)) (= Hole tptp.hole_1) (= Hole tptp.hole_2) (= Hole tptp.hole_3) (= Hole tptp.hole_4))))) (let ((_let_5 (tptp.hole tptp.hole_4))) (let ((_let_6 (tptp.hole tptp.hole_3))) (let ((_let_7 (tptp.hole tptp.hole_2))) (let ((_let_8 (tptp.hole tptp.hole_1))) (let ((_let_9 (= tptp.pigeon_4 tptp.pigeon_5))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= tptp.pigeon_3 tptp.pigeon_5))) (let ((_let_12 (not _let_11))) (let ((_let_13 (= tptp.pigeon_3 tptp.pigeon_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= tptp.pigeon_2 tptp.pigeon_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (= tptp.pigeon_2 tptp.pigeon_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= tptp.pigeon_2 tptp.pigeon_3))) (let ((_let_20 (not _let_19))) (let ((_let_21 (= tptp.pigeon_1 tptp.pigeon_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (= tptp.pigeon_1 tptp.pigeon_4))) (let ((_let_24 (not _let_23))) (let ((_let_25 (= tptp.pigeon_1 tptp.pigeon_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (= tptp.pigeon_1 tptp.pigeon_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.pigeon tptp.pigeon_5))) (let ((_let_30 (tptp.pigeon tptp.pigeon_4))) (let ((_let_31 (tptp.pigeon tptp.pigeon_3))) (let ((_let_32 (tptp.pigeon tptp.pigeon_2))) (let ((_let_33 (tptp.pigeon tptp.pigeon_1))) (let ((_let_34 (tptp.in tptp.pigeon_3 tptp.hole_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.in tptp.pigeon_4 tptp.hole_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_31))) (let ((_let_39 (not _let_30))) (let ((_let_40 (not _let_7))) (let ((_let_41 (or _let_40 _let_39 _let_38 _let_37 _let_35 _let_13))) (let ((_let_42 (ASSUME :args (_let_31)))) (let ((_let_43 (ASSUME :args (_let_30)))) (let ((_let_44 (ASSUME :args (_let_14)))) (let ((_let_45 (ASSUME :args (_let_7)))) (let ((_let_46 (_let_1))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (not (= (tptp.pigeon Pigeon2) false)))) (let ((_let_49 ((not (= (tptp.hole Hole) false)) (not (= (tptp.pigeon Pigeon1) false)) _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_2 tptp.pigeon_4 tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46))) _let_47 :args (_let_41 false _let_1)))) (let ((_let_51 (tptp.hole_of tptp.pigeon_3))) (let ((_let_52 (= tptp.hole_2 _let_51))) (let ((_let_53 (tptp.in tptp.pigeon_3 _let_51))) (let ((_let_54 (= tptp.hole_4 _let_51))) (let ((_let_55 (= tptp.hole_3 _let_51))) (let ((_let_56 (= tptp.hole_1 _let_51))) (let ((_let_57 (tptp.hole _let_51))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_52 _let_55 _let_54))) (let ((_let_60 (forall ((Hole $$unsorted)) (or (not (tptp.hole Hole)) (= tptp.hole_1 Hole) (= tptp.hole_2 Hole) (= tptp.hole_3 Hole) (= tptp.hole_4 Hole))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((not (= (tptp.hole Hole) false))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_59 false _let_60)))) (let ((_let_65 (tptp.in tptp.pigeon_2 _let_51))) (let ((_let_66 (tptp.in tptp.pigeon_2 tptp.hole_4))) (let ((_let_67 (not _let_54))) (let ((_let_68 (not _let_53))) (let ((_let_69 (not _let_65))) (let ((_let_70 (not _let_32))) (let ((_let_71 (or _let_58 _let_70 _let_38 _let_69 _let_68 _let_19))) (let ((_let_72 (not (= (tptp.in Pigeon1 Hole) false)))) (let ((_let_73 ((not (= (tptp.in Pigeon2 Hole) false)) _let_72))) (let ((_let_74 (or _let_38 _let_53))) (let ((_let_75 (_let_2))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((not (= (tptp.pigeon X) false))))) (let ((_let_78 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)))) (let ((_let_79 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_38 _let_53 (not _let_74)))))) (let ((_let_80 (MACRO_RESOLUTION_TRUST _let_79 _let_42 (MACRO_RESOLUTION_TRUST _let_78 _let_76 :args (_let_74 false _let_2)) :args (_let_53 false _let_31 false _let_74)))) (let ((_let_81 (or _let_38 _let_57))) (let ((_let_82 (_let_3))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((not (= (tptp.pigeon X) false))))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_38 _let_57 (not _let_81)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_81 false _let_3)) :args (_let_57 false _let_31 false _let_81)))) (let ((_let_86 (ASSUME :args (_let_32)))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_19 _let_70 _let_38 _let_58 _let_68 _let_69 (not _let_71)))) _let_87 _let_86 _let_42 _let_85 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_51 tptp.pigeon_2 tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46)) _let_47 :args (_let_71 false _let_1)) :args (_let_69 true _let_19 false _let_32 false _let_31 false _let_57 false _let_53 false _let_71)))) (let ((_let_89 (tptp.hole_of tptp.pigeon_2))) (let ((_let_90 (= tptp.hole_4 _let_89))) (let ((_let_91 (tptp.in tptp.pigeon_2 _let_89))) (let ((_let_92 (= tptp.hole_3 _let_89))) (let ((_let_93 (= tptp.hole_2 _let_89))) (let ((_let_94 (= tptp.hole_1 _let_89))) (let ((_let_95 (tptp.hole _let_89))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94 _let_93 _let_92 _let_90))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_97 false _let_60)))) (let ((_let_99 (tptp.in tptp.pigeon_2 tptp.hole_3))) (let ((_let_100 (not _let_92))) (let ((_let_101 (or _let_70 _let_91))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_70 _let_91 (not _let_101)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.pigeon_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_101 false _let_2)) :args (_let_91 false _let_32 false _let_101)))) (let ((_let_103 (not _let_99))) (let ((_let_104 (tptp.in tptp.pigeon_1 tptp.hole_3))) (let ((_let_105 (not _let_104))) (let ((_let_106 (not _let_33))) (let ((_let_107 (not _let_6))) (let ((_let_108 (or _let_107 _let_106 _let_70 _let_105 _let_103 _let_27))) (let ((_let_109 (tptp.hole_of tptp.pigeon_1))) (let ((_let_110 (tptp.in tptp.pigeon_1 _let_109))) (let ((_let_111 (= tptp.hole_3 _let_109))) (let ((_let_112 (or _let_106 _let_110))) (let ((_let_113 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.pigeon_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)))) (let ((_let_114 (ASSUME :args (_let_33)))) (let ((_let_115 (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_106 _let_110 (not _let_112)))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST _let_115 _let_114 (MACRO_RESOLUTION_TRUST _let_113 _let_76 :args (_let_112 false _let_2)) :args (_let_110 false _let_33 false _let_112)))) (let ((_let_117 (tptp.hole_of tptp.pigeon_4))) (let ((_let_118 (= tptp.hole_3 _let_117))) (let ((_let_119 (tptp.in tptp.pigeon_3 tptp.hole_4))) (let ((_let_120 (tptp.hole_of tptp.pigeon_5))) (let ((_let_121 (tptp.in tptp.pigeon_3 _let_120))) (let ((_let_122 (= tptp.hole_4 _let_120))) (let ((_let_123 (not _let_119))) (let ((_let_124 (tptp.in tptp.pigeon_4 tptp.hole_4))) (let ((_let_125 (not _let_124))) (let ((_let_126 (not _let_5))) (let ((_let_127 (or _let_126 _let_39 _let_38 _let_125 _let_123 _let_13))) (let ((_let_128 (tptp.in tptp.pigeon_3 _let_89))) (let ((_let_129 (tptp.in tptp.pigeon_3 _let_109))) (let ((_let_130 (= tptp.hole_4 _let_109))) (let ((_let_131 (tptp.in tptp.pigeon_4 _let_117))) (let ((_let_132 (= tptp.hole_4 _let_117))) (let ((_let_133 (= tptp.hole_1 _let_120))) (let ((_let_134 (= tptp.hole_2 _let_109))) (let ((_let_135 (tptp.hole _let_109))) (let ((_let_136 (= tptp.hole_1 _let_109))) (let ((_let_137 (not _let_135))) (let ((_let_138 (or _let_137 _let_136 _let_134 _let_111 _let_130))) (let ((_let_139 (tptp.in tptp.pigeon_4 _let_109))) (let ((_let_140 (= tptp.hole_1 _let_117))) (let ((_let_141 (tptp.in tptp.pigeon_1 tptp.hole_1))) (let ((_let_142 (tptp.hole _let_117))) (let ((_let_143 (= tptp.hole_2 _let_117))) (let ((_let_144 (not _let_142))) (let ((_let_145 (or _let_144 _let_140 _let_143 _let_118 _let_132))) (let ((_let_146 (tptp.in tptp.pigeon_2 tptp.hole_1))) (let ((_let_147 (not _let_146))) (let ((_let_148 (not _let_141))) (let ((_let_149 (not _let_8))) (let ((_let_150 (or _let_149 _let_106 _let_70 _let_148 _let_147 _let_27))) (let ((_let_151 (tptp.in tptp.pigeon_5 tptp.hole_2))) (let ((_let_152 (not _let_151))) (let ((_let_153 (not _let_29))) (let ((_let_154 (or _let_40 _let_39 _let_153 _let_37 _let_152 _let_9))) (let ((_let_155 (tptp.in tptp.pigeon_4 _let_89))) (let ((_let_156 (tptp.in tptp.pigeon_5 _let_120))) (let ((_let_157 (= tptp.hole_2 _let_120))) (let ((_let_158 (tptp.in tptp.pigeon_2 _let_120))) (let ((_let_159 (= tptp.hole_3 _let_120))) (let ((_let_160 (tptp.hole _let_120))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_133 _let_157 _let_159 _let_122))) (let ((_let_163 (tptp.in tptp.pigeon_4 tptp.hole_3))) (let ((_let_164 (not _let_163))) (let ((_let_165 (tptp.in tptp.pigeon_3 tptp.hole_3))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_107 _let_38 _let_39 _let_166 _let_164 _let_13))) (let ((_let_168 (tptp.in tptp.pigeon_2 _let_117))) (let ((_let_169 (tptp.in tptp.pigeon_4 _let_120))) (let ((_let_170 (tptp.in tptp.pigeon_1 tptp.hole_2))) (let ((_let_171 (not _let_170))) (let ((_let_172 (tptp.in tptp.pigeon_2 tptp.hole_2))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_40 _let_70 _let_106 _let_173 _let_171 _let_27))) (let ((_let_175 (tptp.in tptp.pigeon_1 _let_51))) (let ((_let_176 (tptp.in tptp.pigeon_5 _let_109))) (let ((_let_177 (not _let_118))) (let ((_let_178 (or _let_39 _let_131))) (let ((_let_179 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)))) (let ((_let_180 (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_39 _let_131 (not _let_178)))))) (let ((_let_181 (MACRO_RESOLUTION_TRUST _let_180 _let_43 (MACRO_RESOLUTION_TRUST _let_179 _let_76 :args (_let_178 false _let_2)) :args (_let_131 false _let_30 false _let_178)))) (let ((_let_182 (not _let_131))) (let ((_let_183 (or))) (let ((_let_184 (REFL :args (_let_177)))) (let ((_let_185 (REFL :args (_let_182)))) (let ((_let_186 (ASSUME :args (_let_164)))) (let ((_let_187 (APPLY_UF tptp.in))) (let ((_let_188 (ASSUME :args (_let_118)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (REFL :args (tptp.pigeon_4)))) (let ((_let_191 (ASSUME :args (_let_131)))) (let ((_let_192 (TRUE_INTRO _let_191))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_6)))) (let ((_let_195 (not _let_55))) (let ((_let_196 (REFL :args (_let_195)))) (let ((_let_197 (REFL :args (_let_68)))) (let ((_let_198 (ASSUME :args (_let_166)))) (let ((_let_199 (ASSUME :args (_let_55)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (REFL :args (tptp.pigeon_3)))) (let ((_let_202 (ASSUME :args (_let_53)))) (let ((_let_203 (TRUE_INTRO _let_202))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_198 _let_199 _let_202) :args (_let_53 _let_166 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_204 (CONG _let_201 _let_200 :args _let_187) (FALSE_INTRO _let_198))) :args (_let_166 _let_55 _let_53)) :args ((not (and _let_53 _let_166 _let_55)) SB_LITERAL))) (CONG _let_197 (MACRO_SR_PRED_INTRO :args ((= (not _let_166) _let_165))) _let_196 :args _let_183)) :args ((or _let_165 _let_68 _let_195))))) (let ((_let_206 (not _let_168))) (let ((_let_207 (or _let_144 _let_70 _let_39 _let_206 _let_182 _let_17))) (let ((_let_208 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_117 tptp.pigeon_2 tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46)))) (let ((_let_209 (or _let_39 _let_142))) (let ((_let_210 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)))) (let ((_let_211 (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_39 _let_142 (not _let_209)))))) (let ((_let_212 (MACRO_RESOLUTION_TRUST _let_211 _let_43 (MACRO_RESOLUTION_TRUST _let_210 _let_83 :args (_let_209 false _let_3)) :args (_let_142 false _let_30 false _let_209)))) (let ((_let_213 (ASSUME :args (_let_18)))) (let ((_let_214 (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_17 _let_70 _let_39 _let_144 _let_182 _let_206 (not _let_207)))))) (let ((_let_215 (MACRO_RESOLUTION_TRUST _let_214 _let_213 _let_86 _let_43 _let_212 _let_181 (MACRO_RESOLUTION_TRUST _let_208 _let_47 :args (_let_207 false _let_1)) :args (_let_206 true _let_17 false _let_32 false _let_30 false _let_142 false _let_131 false _let_207)))) (let ((_let_216 (_let_103))) (let ((_let_217 (REFL :args _let_216))) (let ((_let_218 (MACRO_SR_PRED_INTRO :args ((= (not _let_206) _let_168))))) (let ((_let_219 (and _let_118 _let_206))) (let ((_let_220 (ASSUME :args (_let_206)))) (let ((_let_221 (FALSE_INTRO _let_220))) (let ((_let_222 (SYMM _let_189))) (let ((_let_223 (REFL :args (tptp.pigeon_2)))) (let ((_let_224 (not _let_91))) (let ((_let_225 (REFL :args (_let_100)))) (let ((_let_226 (REFL :args (_let_224)))) (let ((_let_227 (ASSUME :args _let_216))) (let ((_let_228 (ASSUME :args (_let_92)))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (ASSUME :args (_let_91)))) (let ((_let_231 (TRUE_INTRO _let_230))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_227 _let_228 _let_230) :args (_let_91 _let_92 _let_103)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_232 (CONG _let_223 _let_229 :args _let_187) (FALSE_INTRO _let_227))) :args (_let_103 _let_92 _let_91)) :args ((not (and _let_91 _let_92 _let_103)) SB_LITERAL))) (CONG _let_226 _let_225 (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_99))) :args _let_183)) :args ((or _let_224 _let_99 _let_100))))) (let ((_let_234 (tptp.in tptp.pigeon_3 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(_let_375)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_376 _let_364) (SCOPE (FALSE_ELIM (TRANS (CONG _let_201 _let_378 :args _let_187) _let_377)) :args (_let_369 _let_93))) :args (_let_93 _let_369))) :args (true _let_375)) (CONG _let_361 _let_374 _let_373 :args _let_183)) :args ((or _let_35 _let_360 _let_128))))) (let ((_let_380 (not _let_129))) (let ((_let_381 (or _let_137 _let_38 _let_106 _let_380 _let_290 _let_25))) (let ((_let_382 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_109 tptp.pigeon_3 tptp.pigeon_1 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46))))) (let ((_let_383 (REORDERING (CNF_OR_POS :args (_let_381)) :args ((or _let_25 _let_106 _let_38 _let_137 _let_290 _let_380 (not _let_381)))))) (let ((_let_384 (MACRO_RESOLUTION_TRUST _let_383 _let_341 _let_114 _let_42 _let_329 _let_116 (MACRO_RESOLUTION_TRUST _let_382 _let_47 :args (_let_381 false _let_1)) :args (_let_380 true _let_25 false _let_33 false _let_31 false _let_135 false _let_110 false _let_381)))) (let ((_let_385 (_let_123))) (let ((_let_386 (REFL :args _let_385))) (let ((_let_387 (MACRO_SR_PRED_INTRO :args ((= (not _let_380) _let_129))))) (let ((_let_388 (and _let_130 _let_380))) (let ((_let_389 (ASSUME :args (_let_380)))) (let ((_let_390 (FALSE_INTRO _let_389))) (let ((_let_391 (SYMM _let_323))) (let ((_let_392 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_388)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_389 _let_322) (SCOPE (FALSE_ELIM (TRANS (CONG _let_201 _let_391 :args _let_187) _let_390)) :args (_let_380 _let_130))) :args (_let_130 _let_380))) :args (true _let_388)) (CONG _let_320 _let_387 _let_386 :args _let_183)) :args ((or _let_123 _let_319 _let_129))))) (let ((_let_393 (ASSUME :args _let_372))) (let ((_let_394 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_393 _let_347 _let_202) :args (_let_53 _let_52 _let_35)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_204 (CONG _let_201 _let_348 :args 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(REORDERING (CNF_OR_POS :args (_let_399)) :args ((or _let_9 _let_39 _let_153 _let_161 _let_237 _let_398 (not _let_399)))) _let_400 _let_43 _let_241 _let_244 _let_242 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_120 tptp.pigeon_4 tptp.pigeon_5 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46)) _let_47 :args (_let_399 false _let_1)) :args (_let_398 true _let_9 false _let_30 false _let_29 false _let_160 false _let_156 false _let_399)))) (let ((_let_402 (MACRO_SR_PRED_INTRO :args ((= (not _let_398) _let_169))))) (let ((_let_403 (not _let_159))) (let ((_let_404 (REFL :args (_let_403)))) (let ((_let_405 (ASSUME :args (_let_159)))) (let ((_let_406 (SYMM _let_405))) (let ((_let_407 (ASSUME :args (_let_398)))) (let ((_let_408 (FALSE_INTRO _let_407))) (let ((_let_409 (SYMM _let_408))) (let ((_let_410 (not _let_157))) (let ((_let_411 (REFL :args (_let_410)))) (let ((_let_412 (and _let_157 _let_259))) (let ((_let_413 (ASSUME :args (_let_157)))) (let ((_let_414 (SYMM _let_413))) (let ((_let_415 (SYMM _let_414))) (let ((_let_416 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_412)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_268 _let_413) (SCOPE (FALSE_ELIM (TRANS (CONG _let_201 _let_415 :args _let_187) _let_269)) :args (_let_259 _let_157))) :args (_let_157 _let_259))) :args (true _let_412)) (CONG _let_411 _let_266 _let_373 :args _let_183)) :args ((or _let_35 _let_410 _let_121))))) (let ((_let_417 (and _let_157 _let_238))) (let ((_let_418 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_417)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_255 _let_413) (SCOPE (FALSE_ELIM (TRANS (CONG _let_223 _let_415 :args _let_187) _let_256)) :args (_let_238 _let_157))) :args (_let_157 _let_238))) :args (true _let_417)) (CONG _let_411 _let_246 (REFL :args _let_362) :args _let_183)) :args ((or _let_173 _let_410 _let_158))))) (let ((_let_419 (_let_147))) (let ((_let_420 (ASSUME :args _let_419))) (let ((_let_421 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_420 _let_250 _let_230) :args (_let_91 _let_147 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_232 (CONG _let_223 _let_251 :args _let_187) (FALSE_INTRO _let_420))) :args (_let_147 _let_94 _let_91)) :args ((not (and _let_91 _let_147 _let_94)) SB_LITERAL))) (CONG _let_226 (MACRO_SR_PRED_INTRO :args ((= (not _let_147) _let_146))) _let_249 :args _let_183)) :args ((or _let_146 _let_224 _let_248))))) (let ((_let_422 (and _let_56 _let_69))) (let ((_let_423 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_422)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_316 _let_286) (SCOPE (FALSE_ELIM (TRANS (CONG _let_223 (SYMM _let_287) :args _let_187) _let_317)) :args (_let_69 _let_56))) :args (_let_56 _let_69))) :args (true _let_422)) (CONG _let_284 _let_308 (REFL :args _let_419) :args _let_183)) :args ((or _let_147 _let_283 _let_65))))) (let ((_let_424 (MACRO_RESOLUTION_TRUST _let_423 _let_88 _let_421 _let_102 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(TRANS _let_431 (CONG _let_281 _let_430 :args _let_187) (CONG _let_281 _let_391 :args _let_187) _let_297)) :args (_let_110 _let_130 _let_122 _let_272))) (CONG _let_292 _let_320 _let_428 _let_277 :args _let_183)))) (let ((_let_433 (ASSUME :args (_let_8)))) (let ((_let_434 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_1 tptp.pigeon_1 tptp.pigeon_2 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_150 false _let_1)))) (let ((_let_435 (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_27 _let_106 _let_70 _let_149 _let_148 _let_147 (not _let_150)))))) (let ((_let_436 (and _let_136 _let_380))) (let ((_let_437 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_436)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_389 _let_294) (SCOPE (FALSE_ELIM (TRANS (CONG _let_201 (SYMM _let_295) :args _let_187) _let_390)) :args (_let_380 _let_136))) :args (_let_136 _let_380))) :args (true _let_436)) (CONG _let_291 _let_387 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(IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_447 _let_336) (SCOPE (FALSE_ELIM (TRANS (CONG _let_449 _let_448 :args _let_187) (FALSE_INTRO _let_447))) :args (_let_442 _let_134))) :args (_let_134 _let_442))) :args (true _let_446)) (CONG _let_333 (MACRO_SR_PRED_INTRO :args ((= (not _let_442) _let_176))) (REFL :args _let_445) :args _let_183)) :args ((or _let_332 _let_152 _let_176))))) (let ((_let_451 (ASSUME :args _let_445))) (let ((_let_452 (ASSUME :args (_let_156)))) (let ((_let_453 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_451 _let_413 _let_452) :args (_let_156 _let_157 _let_152)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_452)) (CONG _let_449 _let_414 :args _let_187) (FALSE_INTRO _let_451))) :args (_let_152 _let_157 _let_156)) :args ((not (and _let_156 _let_157 _let_152)) SB_LITERAL))) (CONG (REFL :args (_let_237)) _let_411 (MACRO_SR_PRED_INTRO :args ((= (not _let_152) _let_151))) :args _let_183)))) (let ((_let_454 (MACRO_RESOLUTION_TRUST _let_421 _let_102 _let_423 _let_88 _let_359 _let_98 _let_358 _let_325 _let_64 _let_85 _let_356 _let_102 _let_441 _let_262 _let_80 _let_438 _let_245 _let_426 _let_425 _let_244 _let_453 _let_242 _let_450 _let_444 _let_366 _let_102 _let_349 _let_342 _let_368 _let_367 _let_45 _let_304 _let_86 _let_114 _let_338 _let_116 (MACRO_RESOLUTION_TRUST _let_441 _let_262 _let_80 _let_426 _let_425 _let_244 _let_418 _let_245 _let_366 _let_102 _let_359 _let_98 _let_358 _let_421 _let_102 _let_435 _let_434 _let_433 _let_304 _let_86 _let_114 _let_299 _let_116 _let_331 _let_330 _let_329 _let_392 _let_384 _let_439 _let_371 _let_396 _let_80 (MACRO_RESOLUTION_TRUST _let_325 _let_64 _let_85 _let_288 _let_80 _let_394 _let_80 _let_437 _let_384 _let_416 _let_262 _let_331 _let_330 _let_329 _let_426 _let_425 _let_244 _let_324 _let_116 _let_438 _let_245 _let_307 _let_306 _let_305 _let_304 _let_86 _let_114 _let_356 _let_102 (MACRO_RESOLUTION_TRUST _let_437 _let_384 _let_288 _let_80 _let_325 _let_64 _let_85 _let_394 _let_80 _let_379 _let_371 _let_359 _let_98 _let_358 _let_421 _let_102 _let_435 _let_434 _let_433 _let_304 _let_86 _let_114 _let_299 _let_116 _let_331 _let_330 _let_329 _let_432 _let_275 _let_116 _let_426 _let_425 _let_244 _let_424 _let_397 :args ((or _let_134 _let_111 _let_92 _let_90 _let_55 _let_54 _let_159) true _let_129 false _let_234 false _let_53 false _let_56 false _let_59 false _let_57 true _let_52 false _let_53 true _let_34 true _let_128 false _let_93 false _let_97 false _let_95 true _let_94 false _let_91 true _let_146 false _let_150 false _let_8 true _let_27 false _let_32 false _let_33 false _let_141 false _let_110 false _let_136 false _let_138 false _let_135 true _let_130 true _let_235 false _let_110 false _let_122 false _let_162 false _let_160 true _let_157 true _let_133)) _let_397 :args ((or _let_134 _let_111 _let_92 _let_55 _let_54 _let_159) false _let_59 false _let_57 true _let_56 false _let_53 true _let_52 false _let_53 true _let_234 true _let_129 true _let_34 true 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(_let_131 _let_118 _let_159 _let_398))) (CONG _let_185 _let_184 _let_404 _let_402 :args _let_183)) _let_401 _let_181 _let_397 _let_233 _let_102 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_219)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_220 _let_188) (SCOPE (FALSE_ELIM (TRANS (CONG _let_223 _let_222 :args _let_187) _let_221)) :args (_let_206 _let_118))) :args (_let_118 _let_206))) :args (true _let_219)) (CONG _let_184 _let_218 _let_217 :args _let_183)) :args ((or _let_103 _let_177 _let_168))) _let_215 _let_205 _let_80 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_13 _let_38 _let_39 _let_107 _let_166 _let_164 (not _let_167)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_3 tptp.pigeon_3 tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_167 false _let_1)) _let_194 _let_44 _let_43 _let_42 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_186 _let_188 _let_191) :args (_let_131 _let_164 _let_118)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_193 (CONG _let_190 _let_189 :args _let_187) (FALSE_INTRO _let_186))) :args (_let_164 _let_118 _let_131)) :args ((not (and _let_131 _let_164 _let_118)) SB_LITERAL))) (CONG _let_185 (MACRO_SR_PRED_INTRO :args ((= (not _let_164) _let_163))) _let_184 :args _let_183)) :args ((or _let_163 _let_182 _let_177))) _let_181 :args ((or _let_111 _let_177) false _let_91 true _let_146 true _let_65 false _let_94 false _let_97 false _let_95 false _let_56 false _let_59 false _let_57 true _let_90 false _let_91 true _let_54 true _let_121 false _let_53 true _let_66 true _let_158 false _let_122 false _let_162 false _let_160 true _let_157 false _let_156 true _let_151 true _let_176 true _let_93 false _let_91 true _let_52 true _let_175 true _let_172 false _let_174 false _let_7 true _let_27 false _let_32 false _let_33 false _let_170 false _let_110 false _let_134 true _let_159 true _let_169 false _let_131 true _let_133 true _let_92 false _let_91 true _let_99 true _let_168 true _let_55 false _let_53 true _let_165 false _let_167 false _let_6 true _let_13 false _let_30 false _let_31 false _let_163 false _let_131)))) (let ((_let_455 (and _let_55 _let_69))) (let ((_let_456 (SYMM _let_200))) (let ((_let_457 (not _let_139))) (let ((_let_458 (or _let_137 _let_39 _let_106 _let_457 _let_290 _let_23))) (let ((_let_459 (ASSUME :args (_let_24)))) (let ((_let_460 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_458)) :args ((or _let_23 _let_106 _let_39 _let_137 _let_290 _let_457 (not _let_458)))) _let_459 _let_114 _let_43 _let_329 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_109 tptp.pigeon_4 tptp.pigeon_1 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46))) _let_47 :args (_let_458 false _let_1)) :args (_let_457 true _let_23 false _let_33 false _let_30 false _let_135 false _let_110 false _let_458)))) (let ((_let_461 (MACRO_SR_PRED_INTRO :args ((= (not _let_457) _let_139))))) (let ((_let_462 (not _let_140))) (let ((_let_463 (REFL :args (_let_462)))) (let ((_let_464 (ASSUME :args (_let_140)))) (let ((_let_465 (SYMM _let_464))) (let ((_let_466 (CONG _let_190 (SYMM _let_465) :args _let_187))) (let ((_let_467 (ASSUME :args (_let_457)))) (let ((_let_468 (FALSE_INTRO _let_467))) (let ((_let_469 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_191 _let_464 _let_294 _let_467) :args (_let_131 _let_136 _let_140 _let_457)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_468) (CONG _let_190 _let_295 :args _let_187) _let_466 _let_192)) :args (_let_131 _let_140 _let_136 _let_457)) :args ((not (and _let_131 _let_136 _let_140 _let_457)) SB_LITERAL))) (CONG _let_185 _let_291 _let_463 _let_461 :args _let_183)))) (let ((_let_470 (not _let_132))) (let ((_let_471 (REFL :args (_let_470)))) (let ((_let_472 (_let_125))) (let ((_let_473 (ASSUME :args _let_472))) (let ((_let_474 (ASSUME :args (_let_132)))) (let ((_let_475 (SYMM _let_474))) (let ((_let_476 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_473 _let_474 _let_191) :args (_let_131 _let_125 _let_132)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_193 (CONG _let_190 _let_475 :args _let_187) (FALSE_INTRO _let_473))) :args (_let_125 _let_132 _let_131)) :args ((not (and _let_131 _let_125 _let_132)) SB_LITERAL))) (CONG _let_185 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) _let_471 :args _let_183)) :args ((or _let_124 _let_182 _let_470))))) (let ((_let_477 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_312 _let_474 _let_220) :args (_let_132 _let_66 _let_206)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_221) (CONG _let_223 _let_475 :args _let_187) _let_313)) :args (_let_66 _let_132 _let_206)) :args ((not (and _let_132 _let_66 _let_206)) SB_LITERAL))) (CONG _let_471 _let_310 _let_218 :args _let_183)) :args ((or _let_302 _let_470 _let_168))))) (let ((_let_478 (REFL :args _let_472))) (let ((_let_479 (and _let_122 _let_398))) (let ((_let_480 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_479)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_407 _let_429) (SCOPE (FALSE_ELIM (TRANS (CONG _let_190 (SYMM _let_430) :args _let_187) _let_408)) :args (_let_398 _let_122))) :args (_let_122 _let_398))) :args (true _let_479)) (CONG _let_428 _let_402 _let_478 :args _let_183)) :args ((or _let_125 _let_427 _let_169))))) (let ((_let_481 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_145 false _let_60)))) (let ((_let_482 (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_144 _let_140 _let_143 _let_118 _let_132 (not _let_145)))))) (let ((_let_483 (not _let_143))) (let ((_let_484 (_let_37))) (let ((_let_485 (ASSUME :args _let_484))) (let ((_let_486 (ASSUME :args (_let_143)))) (let ((_let_487 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_485 _let_486 _let_191) :args (_let_131 _let_143 _let_37)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_193 (CONG _let_190 (SYMM _let_486) :args _let_187) (FALSE_INTRO _let_485))) :args (_let_37 _let_143 _let_131)) :args ((not (and _let_131 _let_143 _let_37)) SB_LITERAL))) (CONG _let_185 (REFL :args (_let_483)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_183)) :args ((or _let_182 _let_36 _let_483))))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_2 tptp.pigeon_4 tptp.pigeon_5 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_154 false _let_1)))) (let ((_let_489 (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_9 _let_39 _let_153 _let_40 _let_37 _let_152 (not _let_154)))))) (let ((_let_490 (not _let_155))) (let ((_let_491 (or _let_96 _let_39 _let_70 _let_490 _let_224 _let_17))) (let ((_let_492 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_491)) :args ((or _let_17 _let_70 _let_39 _let_96 _let_224 _let_490 (not _let_491)))) _let_213 _let_86 _let_43 _let_358 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_89 tptp.pigeon_4 tptp.pigeon_2 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46))) _let_47 :args (_let_491 false _let_1)) :args (_let_490 true _let_17 false _let_32 false _let_30 false _let_95 false _let_91 false _let_491)))) (let ((_let_493 (REFL :args _let_484))) (let ((_let_494 (MACRO_SR_PRED_INTRO :args ((= (not _let_490) _let_155))))) (let ((_let_495 (and _let_93 _let_490))) (let ((_let_496 (ASSUME :args (_let_490)))) (let ((_let_497 (FALSE_INTRO _let_496))) (let ((_let_498 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_495)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_496 _let_364) (SCOPE (FALSE_ELIM (TRANS (CONG _let_190 _let_378 :args _let_187) _let_497)) :args (_let_490 _let_93))) :args (_let_93 _let_490))) :args (true _let_495)) (CONG _let_361 _let_494 _let_493 :args _let_183)) :args ((or _let_37 _let_360 _let_155))))) (let ((_let_499 (MACRO_RESOLUTION_TRUST _let_438 _let_245 _let_356 _let_102 _let_426 _let_425 _let_244 _let_359 _let_98 _let_358 _let_453 _let_242 _let_498 _let_492 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_487 _let_181 _let_482 _let_481 _let_212 (MACRO_RESOLUTION_TRUST _let_366 _let_102 _let_418 _let_245 _let_359 _let_98 _let_358 _let_426 _let_425 _let_244 _let_356 _let_102 _let_480 _let_401 _let_477 _let_215 _let_476 _let_181 :args ((or _let_94 _let_92 _let_133 _let_159 _let_470) false _let_91 true _let_172 true _let_158 false _let_93 false _let_97 false _let_95 false _let_157 false _let_162 false _let_160 true _let_90 false _let_91 true _let_122 true _let_169 true _let_66 true _let_168 false _let_124 false _let_131)) _let_421 _let_102 _let_282 _let_275 _let_435 _let_434 _let_433 _let_304 _let_86 _let_114 _let_299 _let_116 _let_469 _let_460 _let_181 :args ((or _let_92 _let_118 _let_159 _let_289) true _let_158 false _let_66 false _let_91 false _let_122 false _let_162 false _let_160 false _let_90 false _let_97 false _let_95 true _let_157 false _let_156 true _let_93 true _let_155 true _let_151 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 false _let_36 false _let_131 false _let_143 false _let_145 false _let_142 true _let_132 true _let_94 false _let_91 true _let_133 true _let_235 true _let_146 false _let_150 false _let_8 true _let_27 false _let_32 false _let_33 false _let_141 false _let_110 true _let_140 true _let_139 false _let_131)))) (let ((_let_500 (tptp.in tptp.pigeon_4 tptp.hole_1))) (let ((_let_501 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_409 (CONG _let_190 _let_254 :args _let_187) _let_466 _let_192)) :args (_let_131 _let_140 _let_133 _let_398))) (CONG _let_185 _let_463 _let_247 _let_402 :args _let_183)))) (let ((_let_502 (and _let_134 _let_457))) (let ((_let_503 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_502)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_467 _let_336) (SCOPE (FALSE_ELIM (TRANS (CONG _let_190 _let_448 :args _let_187) _let_468)) :args (_let_457 _let_134))) :args (_let_134 _let_457))) :args (true _let_502)) (CONG _let_333 _let_461 _let_493 :args _let_183)) :args ((or _let_37 _let_332 _let_139))))) (let ((_let_504 (MACRO_RESOLUTION_TRUST _let_480 _let_401 _let_476 _let_181 _let_482 _let_481 _let_212 _let_426 _let_425 _let_244 _let_487 _let_181 _let_453 _let_242 _let_503 _let_460 _let_450 _let_444 :args ((or _let_140 _let_118 _let_133 _let_159 _let_332) true _let_169 false _let_124 false _let_131 false _let_132 false _let_145 false _let_142 false _let_122 false _let_162 false _let_160 true _let_143 false _let_131 true _let_157 false _let_156 true _let_36 true _let_139 true _let_151 true _let_176)))) (let ((_let_505 (not _let_500))) (let ((_let_506 (_let_505))) (let ((_let_507 (ASSUME :args _let_506))) (let ((_let_508 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_507 _let_464 _let_191) :args (_let_131 _let_140 _let_505)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_193 (CONG _let_190 _let_465 :args _let_187) (FALSE_INTRO _let_507))) :args (_let_505 _let_140 _let_131)) :args ((not (and _let_131 _let_140 _let_505)) SB_LITERAL))) (CONG _let_185 _let_463 (MACRO_SR_PRED_INTRO :args ((= (not _let_505) _let_500))) :args _let_183)) :args ((or _let_182 _let_500 _let_462))))) (let ((_let_509 (and _let_94 _let_490))) (let ((_let_510 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_509)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_496 _let_250) (SCOPE (FALSE_ELIM (TRANS (CONG _let_190 _let_252 :args _let_187) _let_497)) :args (_let_490 _let_94))) :args (_let_94 _let_490))) :args (true _let_509)) (CONG _let_249 _let_494 (REFL :args _let_506) :args _let_183)) :args ((or _let_505 _let_248 _let_155))))) (let ((_let_511 (MACRO_RESOLUTION_TRUST _let_359 _let_98 _let_358 _let_510 _let_492 _let_366 _let_102 _let_508 _let_181 _let_368 _let_367 _let_45 _let_304 _let_86 _let_114 _let_504 _let_338 _let_116 _let_331 _let_330 _let_329 _let_356 _let_102 _let_432 _let_275 _let_116 _let_438 _let_245 _let_426 _let_425 _let_244 _let_499 _let_454 :args ((or _let_111 _let_92 _let_133 _let_157 _let_159) false _let_97 false _let_95 true _let_94 true _let_155 true _let_93 false _let_91 false _let_500 false _let_131 true _let_172 false _let_174 false _let_7 true _let_27 false _let_32 false _let_33 false _let_140 false _let_170 false _let_110 false _let_134 false _let_138 false _let_135 true _let_90 false _let_91 true _let_130 true _let_235 false _let_110 true _let_66 true _let_158 false _let_122 false _let_162 false _let_160 true _let_136 true _let_118)))) (let ((_let_512 (and _let_130 _let_457))) (let ((_let_513 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_512)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_467 _let_322) (SCOPE (FALSE_ELIM (TRANS (CONG _let_190 _let_391 :args _let_187) _let_468)) :args (_let_457 _let_130))) :args (_let_130 _let_457))) :args (true _let_512)) (CONG _let_320 _let_461 _let_478 :args _let_183)) :args ((or _let_125 _let_319 _let_139))))) (let ((_let_514 (MACRO_RESOLUTION_TRUST _let_258 _let_245 _let_102 _let_359 _let_98 _let_358 _let_511 _let_366 _let_102 _let_453 _let_242 _let_368 _let_367 _let_45 _let_304 _let_86 _let_114 _let_450 _let_444 _let_338 _let_116 _let_331 _let_330 _let_329 _let_356 _let_102 _let_513 _let_460 _let_477 _let_215 _let_476 _let_181 (MACRO_RESOLUTION_TRUST _let_359 _let_98 _let_358 _let_356 _let_102 _let_510 _let_492 _let_307 _let_306 _let_305 _let_304 _let_86 _let_114 _let_508 _let_181 _let_324 _let_116 _let_482 _let_481 _let_212 _let_331 _let_330 _let_329 _let_487 _let_181 _let_366 _let_102 _let_450 _let_444 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_418 _let_245 _let_453 _let_242 _let_511 (MACRO_RESOLUTION_TRUST _let_307 _let_306 _let_305 _let_304 _let_86 _let_114 _let_324 _let_116 _let_356 _let_102 _let_331 _let_330 _let_329 _let_359 _let_98 _let_358 _let_503 _let_460 _let_498 _let_492 _let_487 _let_181 _let_482 _let_481 _let_212 _let_501 _let_401 _let_181 _let_258 _let_245 _let_102 _let_454 :args ((or _let_136 _let_111 _let_92 _let_132 _let_236) false _let_303 false _let_5 true _let_27 false _let_32 false _let_33 false _let_300 false _let_110 false _let_66 false _let_91 false _let_130 false _let_138 false _let_135 false _let_90 false _let_97 false _let_95 true _let_134 true _let_139 true _let_93 true _let_155 false _let_36 false _let_131 false _let_143 false _let_145 false _let_142 true _let_140 true _let_169 false _let_131 true _let_94 true _let_158 false _let_91 true _let_118)) _let_499 _let_454 :args ((or _let_111 _let_92 _let_132 _let_159) false _let_97 false _let_95 true _let_90 false _let_91 true _let_94 true _let_155 true _let_66 false _let_303 false _let_5 true _let_27 false _let_32 false _let_33 false _let_500 false _let_131 false _let_300 false _let_110 false _let_140 false _let_145 false _let_142 false _let_130 false _let_138 false _let_135 true _let_143 false _let_131 true _let_93 false _let_91 true _let_134 true _let_176 true _let_36 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 true _let_172 true _let_158 false _let_151 false _let_156 false _let_157 true _let_133 true _let_136 true _let_118)) _let_499 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_440 (CONG _let_201 _let_406 :args _let_187) (CONG _let_201 _let_456 :args _let_187) _let_203)) :args (_let_53 _let_55 _let_159 _let_259))) (CONG _let_197 _let_196 _let_404 _let_266 :args _let_183)) _let_262 _let_80 _let_233 _let_102 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_455)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_316 _let_199) (SCOPE (FALSE_ELIM (TRANS (CONG _let_223 _let_456 :args _let_187) _let_317)) :args (_let_69 _let_55))) :args (_let_55 _let_69))) :args (true _let_455)) (CONG _let_196 _let_308 _let_217 :args _let_183)) :args ((or _let_103 _let_195 _let_65))) _let_88 _let_454 :args ((or _let_111 _let_195) true _let_158 false _let_91 false _let_94 false _let_97 false _let_95 false _let_133 true _let_93 false _let_91 true _let_157 false _let_156 true _let_172 false _let_174 false _let_7 true _let_27 false _let_32 false _let_33 true _let_151 true _let_176 false _let_170 false _let_110 false _let_134 false _let_138 false _let_135 true _let_90 false _let_91 true _let_130 true _let_139 true _let_66 true _let_168 false _let_124 false _let_131 false _let_132 true _let_136 true _let_159 true _let_121 false _let_53 true _let_92 false _let_91 true _let_99 true _let_65 true _let_118)))) (let ((_let_515 (or _let_149 _let_38 _let_39 _let_263 _let_505 _let_13))) (let ((_let_516 (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_13 _let_38 _let_39 _let_40 _let_37 _let_35 (not _let_41)))))) (let ((_let_517 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_1 tptp.pigeon_3 tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_515 false _let_1)))) (let ((_let_518 (REORDERING (CNF_OR_POS :args (_let_515)) :args ((or _let_13 _let_38 _let_39 _let_149 _let_263 _let_505 (not _let_515)))))) (let ((_let_519 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_257 (CONG _let_223 _let_406 :args _let_187) (CONG _let_223 (SYMM _let_229) :args _let_187) _let_231)) :args (_let_91 _let_92 _let_159 _let_238))) (CONG _let_226 _let_225 _let_404 _let_246 :args _let_183)))) (let ((_let_520 (MACRO_RESOLUTION_TRUST _let_480 _let_401 _let_426 _let_425 _let_244 _let_476 _let_181 _let_282 _let_275 _let_482 _let_481 _let_212 _let_299 _let_116 _let_469 _let_460 _let_181 _let_331 _let_330 _let_329 (MACRO_RESOLUTION_TRUST _let_482 _let_481 _let_212 _let_501 _let_401 _let_181 _let_476 _let_181 _let_426 _let_425 _let_244 _let_513 _let_460 _let_432 _let_275 _let_116 :args ((or _let_143 _let_118 _let_157 _let_159 _let_319) false _let_145 false _let_142 true _let_140 true _let_169 false _let_131 true _let_132 false _let_131 false _let_133 false _let_162 false _let_160 true _let_124 true _let_139 true _let_122 true _let_235 false _let_110)) _let_487 _let_181 _let_338 _let_116 _let_416 _let_262 _let_516 _let_50 _let_45 _let_44 _let_43 _let_42 _let_349 _let_342 _let_394 _let_80 _let_325 _let_64 _let_85 _let_288 _let_80 (MACRO_RESOLUTION_TRUST _let_487 _let_181 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_482 _let_481 _let_212 _let_453 _let_242 _let_476 _let_181 _let_426 _let_425 _let_244 _let_513 _let_460 _let_432 _let_275 _let_116 _let_331 _let_330 _let_329 _let_504 _let_508 _let_181 _let_437 _let_384 _let_271 _let_262 _let_518 _let_517 _let_433 _let_44 _let_43 _let_42 _let_454 :args ((or _let_111 _let_159 _let_263) false _let_131 true _let_36 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 false _let_143 false _let_145 false _let_142 false _let_151 false _let_156 true _let_132 false _let_131 false _let_157 false _let_162 false _let_160 true _let_124 true _let_139 true _let_122 true _let_235 false _let_110 false _let_130 false _let_138 false _let_135 true _let_134 true _let_140 false _let_131 true _let_136 true _let_129 true _let_133 true _let_121 true _let_500 false _let_515 false _let_8 true _let_13 false _let_30 false _let_31 true _let_118)) _let_519 _let_245 _let_102 (MACRO_RESOLUTION_TRUST _let_510 _let_492 _let_508 _let_181 _let_482 _let_481 _let_212 _let_476 _let_181 _let_513 _let_460 _let_331 _let_330 _let_329 _let_299 _let_116 _let_435 _let_434 _let_433 _let_304 _let_86 _let_114 _let_421 _let_102 _let_359 _let_98 _let_358 _let_487 _let_181 _let_379 _let_371 _let_516 _let_50 _let_45 _let_44 _let_43 _let_42 _let_394 _let_80 _let_325 _let_64 _let_85 (MACRO_RESOLUTION_TRUST _let_482 _let_481 _let_212 _let_487 _let_181 _let_476 _let_181 _let_498 _let_492 _let_513 _let_460 _let_359 _let_98 _let_358 _let_331 _let_330 _let_329 _let_508 _let_181 _let_421 _let_102 _let_437 _let_384 _let_518 _let_517 _let_433 _let_44 _let_43 _let_42 _let_423 _let_88 _let_288 _let_80 _let_454 :args ((or _let_134 _let_111 _let_92 _let_90 _let_283) false _let_145 false _let_142 true _let_143 false _let_131 true _let_132 false _let_131 true _let_36 true _let_155 true _let_124 true _let_139 false _let_93 false _let_97 false _let_95 false _let_130 false _let_138 false _let_135 true _let_140 false _let_131 true _let_94 false _let_91 true _let_136 true _let_129 true _let_500 false _let_515 false _let_8 true _let_13 false _let_30 false _let_31 true _let_146 true _let_65 false _let_234 false _let_53 true _let_118)) _let_338 _let_116 (MACRO_RESOLUTION_TRUST _let_421 _let_102 _let_423 _let_88 _let_359 _let_98 _let_358 _let_325 _let_64 _let_85 _let_366 _let_102 _let_349 _let_342 _let_368 _let_367 _let_45 _let_304 _let_86 _let_114 :args ((or _let_171 _let_92 _let_90 _let_55 _let_54) false _let_91 true _let_146 true _let_65 false _let_94 false _let_97 false _let_95 false _let_56 false _let_59 false _let_57 true _let_93 false _let_91 true _let_52 true _let_175 true _let_172 false _let_174 false _let_7 true _let_27 false _let_32 false _let_33)) _let_454 :args ((or _let_111 _let_92 _let_90 _let_55 _let_54) true _let_155 false _let_500 false _let_131 false _let_140 false _let_145 false _let_142 true _let_132 false _let_131 true _let_124 true _let_139 false _let_130 false _let_138 false _let_135 true _let_136 false _let_110 true _let_141 false _let_150 false _let_8 true _let_27 false _let_32 false _let_33 false _let_146 false _let_91 false _let_94 false _let_97 false _let_95 true _let_143 false _let_131 true _let_93 true _let_128 true _let_36 false _let_41 false _let_7 true _let_13 false _let_30 false _let_31 false _let_34 false _let_53 false _let_52 false _let_59 false _let_57 true _let_56 true _let_134 false _let_110 true _let_170 true _let_118)) _let_356 _let_102 (MACRO_RESOLUTION_TRUST _let_503 _let_460 _let_487 _let_181 _let_482 _let_481 _let_212 _let_331 _let_330 _let_329 _let_508 _let_181 _let_437 _let_384 _let_518 _let_517 _let_433 _let_44 _let_43 _let_42 _let_288 _let_80 (MACRO_RESOLUTION_TRUST _let_487 _let_181 _let_482 _let_481 _let_212 _let_516 _let_50 _let_45 _let_44 _let_43 _let_42 _let_469 _let_460 _let_181 _let_394 _let_80 _let_350 _let_325 _let_64 _let_85 _let_477 _let_214 _let_86 _let_213 _let_211 _let_210 _let_83 _let_180 _let_43 _let_179 _let_76 _let_208 _let_47 _let_454 :args ((or _let_111 _let_56 _let_55 _let_54 _let_302) false _let_131 false _let_143 false _let_145 false _let_142 true _let_36 false _let_41 false _let_7 true _let_13 false _let_30 false _let_31 true _let_140 true _let_139 false _let_131 false _let_34 false _let_53 false _let_136 false _let_52 false _let_59 false _let_57 true _let_132 true _let_168 false _let_32 true _let_17 false _let_142 false _let_209 false _let_3 false _let_131 false _let_30 false _let_178 false _let_2 false _let_207 false _let_1 true _let_118)) _let_324 _let_116 _let_477 _let_215 _let_307 _let_306 _let_305 _let_304 _let_86 _let_114 _let_454 :args ((or _let_111 _let_55 _let_54 _let_302) true _let_139 false _let_36 false _let_131 false _let_143 false _let_145 false _let_142 false _let_134 false _let_138 false _let_135 true _let_140 false _let_131 true _let_136 true _let_129 true _let_500 false _let_515 false _let_8 true _let_13 false _let_30 false _let_31 false _let_234 false _let_53 false _let_56 true _let_130 false _let_110 true _let_132 true _let_168 true _let_300 false _let_303 false _let_5 true _let_27 false _let_32 false _let_33 true _let_118)) _let_454 :args ((or _let_111 _let_55 _let_54) true _let_169 false _let_122 false _let_162 false _let_160 false _let_124 false _let_131 true _let_133 true _let_235 false _let_132 false _let_145 false _let_142 false _let_141 false _let_110 true _let_140 true _let_139 false _let_131 false _let_136 false _let_138 false _let_135 true _let_130 true _let_143 false _let_131 true _let_134 false _let_110 true _let_157 true _let_121 true _let_36 false _let_41 false _let_7 true _let_13 false _let_30 false _let_31 true _let_170 true _let_175 false _let_34 false _let_53 false _let_52 false _let_59 false _let_57 true _let_56 false _let_53 true _let_234 true _let_159 true _let_158 false _let_91 false _let_92 true _let_90 false _let_91 true _let_66 true _let_118)))) (let ((_let_521 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_4 tptp.pigeon_4 tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46))))) (let ((_let_522 (MACRO_RESOLUTION_TRUST _let_521 _let_47 :args (_let_127 false _let_1)))) (let ((_let_523 (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_13 _let_38 _let_39 _let_126 _let_125 _let_123 (not _let_127)))))) (let ((_let_524 (not _let_111))) (let ((_let_525 (_let_105))) (let ((_let_526 (ASSUME :args _let_525))) (let ((_let_527 (ASSUME :args (_let_111)))) (let ((_let_528 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_526 _let_527 _let_296) :args (_let_110 _let_111 _let_105)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_298 (CONG _let_281 (SYMM _let_527) :args _let_187) (FALSE_INTRO _let_526))) :args (_let_105 _let_111 _let_110)) :args ((not (and _let_110 _let_111 _let_105)) SB_LITERAL))) (CONG _let_292 (REFL :args (_let_524)) (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_104))) :args _let_183)) :args ((or _let_290 _let_104 _let_524))) (MACRO_RESOLUTION_TRUST _let_426 _let_425 _let_244 _let_519 _let_245 _let_102 _let_453 _let_242 _let_359 _let_98 _let_358 _let_498 _let_492 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_421 _let_102 _let_487 _let_181 _let_435 _let_434 _let_433 _let_304 _let_86 _let_114 _let_482 _let_481 _let_212 _let_299 _let_116 _let_469 _let_460 _let_181 _let_331 _let_330 _let_329 (MACRO_RESOLUTION_TRUST _let_510 _let_492 _let_359 _let_98 _let_358 _let_508 _let_181 _let_519 _let_245 _let_102 _let_482 _let_481 _let_212 _let_426 _let_425 _let_244 _let_366 _let_102 _let_487 _let_181 _let_453 _let_242 _let_368 _let_367 _let_45 _let_304 _let_86 _let_114 _let_503 _let_460 _let_450 _let_444 _let_338 _let_116 :args ((or _let_90 _let_118 _let_132 _let_133 _let_122 _let_332) true _let_155 false _let_94 false _let_97 false _let_95 false _let_500 false _let_131 true _let_92 true _let_158 false _let_91 false _let_140 false _let_145 false _let_142 false _let_159 false _let_162 false _let_160 true _let_93 false _let_91 true _let_143 false _let_131 true _let_157 false _let_156 true _let_172 false _let_174 false _let_7 true _let_27 false _let_32 false _let_33 true _let_36 true _let_139 true _let_151 true _let_176 false _let_170 false _let_110)) (MACRO_RESOLUTION_TRUST _let_503 _let_460 _let_331 _let_330 _let_329 _let_487 _let_181 _let_299 _let_116 _let_482 _let_481 _let_212 _let_282 _let_275 _let_501 _let_401 _let_181 _let_476 _let_180 _let_179 _let_523 _let_43 _let_44 _let_305 _let_521 _let_454 _let_392 _let_383 _let_341 _let_328 _let_327 _let_83 _let_115 _let_114 _let_113 _let_382 _let_47 _let_396 _let_79 _let_42 _let_78 _let_76 _let_520 _let_514 :args ((or _let_111 _let_236) true _let_139 false _let_134 false _let_138 false _let_135 false _let_36 false _let_131 true _let_136 false _let_110 false _let_143 false _let_145 false _let_142 true _let_141 true _let_235 true _let_140 true _let_169 false _let_131 true _let_132 false _let_131 false _let_178 true _let_124 false _let_30 true _let_13 false _let_5 false _let_127 true _let_118 true _let_130 true _let_129 true _let_25 false _let_135 false _let_326 false _let_3 false _let_110 false _let_33 false _let_112 false _let_381 false _let_1 false _let_119 false _let_53 false _let_31 false _let_74 false _let_2 false _let_54 true _let_55)) _let_476 _let_181 _let_392 _let_384 _let_439 _let_371 _let_523 _let_522 _let_305 _let_44 _let_43 _let_42 _let_441 _let_262 _let_80 _let_396 _let_80 _let_520 _let_514 _let_454 :args (_let_111 false _let_162 false _let_160 true _let_159 true _let_158 false _let_91 true _let_157 false _let_156 false _let_92 false _let_97 false _let_95 true _let_93 true _let_155 true _let_151 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 true _let_94 false _let_91 false _let_36 false _let_131 true _let_146 false _let_150 false _let_8 true _let_27 false _let_32 false _let_33 false _let_143 false _let_145 false _let_142 false _let_141 false _let_110 true _let_140 true _let_139 false _let_131 false _let_136 false _let_138 false _let_135 true _let_134 true _let_133 true _let_132 false _let_131 true _let_130 true _let_129 true _let_90 true _let_128 true _let_124 false _let_127 false _let_5 true _let_13 false _let_30 false _let_31 true _let_122 true _let_121 false _let_53 false _let_119 false _let_53 false _let_54 true _let_55 true _let_118)) _let_116 :args (_let_104 false _let_111 false _let_110)))) (let ((_let_529 (MACRO_RESOLUTION_TRUST _let_233 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_27 _let_106 _let_70 _let_107 _let_105 _let_103 (not _let_108)))) _let_304 _let_114 _let_86 _let_194 _let_528 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_3 tptp.pigeon_1 tptp.pigeon_2 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_108 false _let_1)) :args (_let_103 true _let_27 false _let_33 false _let_32 false _let_6 false _let_104 false _let_108)) _let_102 :args (_let_100 true _let_99 false _let_91)))) (let ((_let_530 (REFL :args _let_525))) (let ((_let_531 (ASSUME :args (_let_104)))) (let ((_let_532 (TRUE_INTRO _let_531))) (let ((_let_533 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_531 _let_405 _let_279) :args (_let_159 _let_104 _let_272)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_431 (CONG _let_281 _let_406 :args _let_187) _let_532)) :args (_let_104 _let_159 _let_272)) :args ((not (and _let_159 _let_104 _let_272)) SB_LITERAL))) (CONG _let_404 _let_530 _let_277 :args _let_183)) :args ((or _let_105 _let_403 _let_235))) _let_528 _let_275 :args (_let_403 false _let_104 true _let_235)))) (let ((_let_534 (or _let_107 _let_106 _let_38 _let_105 _let_166 _let_25))) (let ((_let_535 (MACRO_RESOLUTION_TRUST _let_205 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_534)) :args ((or _let_25 _let_106 _let_38 _let_107 _let_166 _let_105 (not _let_534)))) _let_341 _let_114 _let_42 _let_194 _let_528 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.hole_3 tptp.pigeon_1 tptp.pigeon_3 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_46)) _let_47 :args (_let_534 false _let_1)) :args (_let_166 true _let_25 false _let_33 false _let_31 false _let_6 false _let_104 false _let_534)) _let_80 :args (_let_195 true _let_165 false _let_53)))) (let ((_let_536 (tptp.in tptp.pigeon_1 _let_117))) (let ((_let_537 (not _let_536))) (let ((_let_538 (or _let_144 _let_106 _let_39 _let_537 _let_182 _let_23))) (let ((_let_539 (ASSUME :args (_let_537)))) (let ((_let_540 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_531 _let_188 _let_539) :args (_let_118 _let_104 _let_537)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_539)) (CONG _let_281 _let_189 :args _let_187) _let_532)) :args (_let_104 _let_118 _let_537)) :args ((not (and _let_118 _let_104 _let_537)) SB_LITERAL))) (CONG _let_184 _let_530 (MACRO_SR_PRED_INTRO :args ((= (not _let_537) _let_536))) :args _let_183)) :args ((or _let_105 _let_177 _let_536))) _let_528 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_538)) :args ((or _let_23 _let_106 _let_39 _let_144 _let_182 _let_537 (not _let_538)))) _let_459 _let_114 _let_43 _let_212 _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_117 tptp.pigeon_1 tptp.pigeon_4 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_46)) _let_47 :args (_let_538 false _let_1)) :args (_let_537 true _let_23 false _let_33 false _let_30 false _let_142 false _let_131 false _let_538)) :args (_let_177 false _let_104 true _let_536)))) (let ((_let_541 (MACRO_RESOLUTION_TRUST _let_424 _let_535 _let_529 _let_426 _let_533 _let_425 _let_244 _let_396 _let_80 _let_356 _let_102 _let_480 _let_401 _let_523 _let_522 _let_305 _let_44 _let_43 _let_42 _let_477 _let_215 _let_476 _let_181 (MACRO_RESOLUTION_TRUST _let_518 _let_517 _let_433 _let_44 _let_43 _let_42 _let_508 _let_181 _let_288 _let_80 _let_482 _let_540 _let_481 _let_212 _let_325 _let_535 _let_64 _let_85 _let_487 _let_181 _let_394 _let_80 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_416 _let_262 _let_453 _let_242 _let_426 _let_533 _let_425 _let_244 _let_438 _let_245 _let_318 _let_88 _let_356 _let_102 (MACRO_RESOLUTION_TRUST _let_441 _let_262 _let_80 _let_325 _let_535 _let_64 _let_85 _let_426 _let_533 _let_425 _let_244 _let_394 _let_80 _let_418 _let_245 _let_379 _let_371 _let_366 _let_102 _let_359 _let_529 _let_98 _let_358 _let_288 _let_80 _let_510 _let_492 _let_518 _let_517 _let_433 _let_44 _let_43 _let_42 _let_508 _let_181 _let_482 _let_540 _let_481 _let_212 _let_487 _let_181 (MACRO_RESOLUTION_TRUST _let_325 _let_535 _let_64 _let_85 _let_423 _let_88 _let_441 _let_262 _let_80 _let_421 _let_102 _let_426 _let_533 _let_425 _let_244 _let_359 _let_529 _let_98 _let_358 _let_453 _let_242 _let_394 _let_80 _let_498 _let_492 _let_489 _let_488 _let_45 _let_400 _let_241 _let_43 _let_516 _let_50 _let_45 _let_44 _let_43 _let_42 :args ((or _let_90 _let_133 _let_37) true _let_55 false _let_59 false _let_57 true _let_56 true _let_65 true _let_54 true _let_121 false _let_53 false _let_146 false _let_91 false _let_122 true _let_159 false _let_162 false _let_160 false _let_94 true _let_92 false _let_97 false _let_95 true _let_157 false _let_156 true _let_52 false _let_53 true _let_93 true _let_155 true _let_151 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 true _let_34 false _let_41 false _let_7 true _let_13 false _let_30 false _let_31)) :args ((or _let_90 _let_132 _let_133) true _let_121 false _let_53 false _let_54 true _let_55 false _let_59 false _let_57 false _let_122 true _let_159 false _let_162 false _let_160 true _let_52 false _let_53 true _let_157 true _let_158 true _let_34 true _let_128 false _let_172 false _let_91 false _let_93 true _let_92 false _let_97 false _let_95 true _let_56 false _let_53 true _let_94 true _let_155 true _let_234 false _let_515 false _let_8 true _let_13 false _let_30 false _let_31 false _let_500 false _let_131 false _let_140 true _let_118 false _let_145 false _let_142 true _let_143 false _let_131 true _let_36)) :args ((or _let_132 _let_133) false _let_515 false _let_8 true _let_13 false _let_30 false _let_31 false _let_500 false _let_131 false _let_234 false _let_53 false _let_140 true _let_118 false _let_145 false _let_142 false _let_56 true _let_55 false _let_59 false _let_57 true _let_143 false _let_131 true _let_52 false _let_53 true _let_36 false _let_154 false _let_7 true _let_9 false _let_29 false _let_30 true _let_34 true _let_121 false _let_151 false _let_156 false _let_157 true _let_159 false _let_162 false _let_160 true _let_122 true _let_158 true _let_54 true _let_65 false _let_66 false _let_91 false _let_90)) :args (_let_133 true _let_55 true _let_92 false _let_157 true _let_159 false _let_162 false _let_160 true _let_54 false _let_53 true _let_90 false _let_91 true _let_122 true _let_169 true _let_119 false _let_127 false _let_5 true _let_13 false _let_30 false _let_31 true _let_66 true _let_168 false _let_124 false _let_131 false _let_132)))) (let ((_let_542 (MACRO_RESOLUTION_TRUST _let_288 (MACRO_RESOLUTION_TRUST _let_271 _let_541 _let_262 :args (_let_263 false _let_133 true _let_121)) _let_80 :args (_let_283 true _let_234 false _let_53)))) (let ((_let_543 (MACRO_RESOLUTION_TRUST _let_501 _let_541 _let_401 _let_181 :args (_let_462 false _let_133 true _let_169 false _let_131)))) (let ((_let_544 (MACRO_RESOLUTION_TRUST _let_356 _let_102 (MACRO_RESOLUTION_TRUST _let_359 _let_358 (MACRO_RESOLUTION_TRUST _let_258 _let_541 _let_245 _let_102 :args (_let_248 false _let_133 true _let_158 false _let_91)) (MACRO_RESOLUTION_TRUST _let_523 _let_522 _let_305 _let_44 _let_43 _let_42 _let_476 _let_181 _let_396 _let_80 _let_482 _let_540 _let_543 _let_481 _let_212 _let_325 _let_535 _let_542 _let_64 _let_85 _let_487 _let_181 _let_394 _let_80 _let_498 _let_492 _let_379 _let_371 :args (_let_360 false _let_127 false _let_5 true _let_13 false _let_30 false _let_31 false _let_124 false _let_131 false _let_119 false _let_53 false _let_132 true _let_118 true _let_140 false _let_145 false _let_142 false _let_54 true _let_55 true _let_56 false _let_59 false _let_57 true _let_143 false _let_131 true _let_52 false _let_53 true _let_36 true _let_155 true _let_34 true _let_128)) _let_529 _let_98 :args (_let_90 false _let_95 true _let_94 true _let_93 true _let_92 false _let_97)) :args (_let_66 false _let_91 false _let_90)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_516 (MACRO_RESOLUTION_TRUST _let_487 _let_181 (MACRO_RESOLUTION_TRUST _let_482 _let_212 _let_543 _let_540 (MACRO_RESOLUTION_TRUST _let_477 _let_544 _let_215 :args (_let_470 false _let_66 true _let_168)) _let_481 :args (_let_143 false _let_142 true _let_140 true _let_118 true _let_132 false _let_145)) :args (_let_36 false _let_131 false _let_143)) (MACRO_RESOLUTION_TRUST _let_394 _let_80 (MACRO_RESOLUTION_TRUST _let_325 _let_85 _let_542 _let_535 (MACRO_RESOLUTION_TRUST _let_318 _let_544 _let_88 :args (_let_67 false _let_66 true _let_65)) _let_64 :args (_let_52 false _let_57 true _let_56 true _let_55 true _let_54 false _let_59)) :args (_let_34 false _let_53 false _let_52)) _let_50 _let_45 _let_44 _let_43 _let_42 :args (false false _let_36 false _let_34 false _let_41 false _let_7 true _let_13 false _let_30 false _let_31)) :args ((forall ((X $$unsorted)) (= X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (= Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= X Y)) (not (= Y Z)) (= X Z))) _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_26 _let_24 _let_22 _let_20 _let_18 _let_16 _let_14 _let_12 _let_10 _let_8 _let_7 _let_6 _let_5 (not (= tptp.hole_1 tptp.hole_2)) (not (= tptp.hole_1 tptp.hole_3)) (not (= tptp.hole_1 tptp.hole_4)) (not (= tptp.hole_2 tptp.hole_3)) (not (= tptp.hole_2 tptp.hole_4)) (not (= tptp.hole_3 tptp.hole_4)) _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.63 )
% 0.22/0.63 % SZS output end Proof for MSC007-2.005
% 0.22/0.63 % cvc5---1.0.5 exiting
% 0.22/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------