TSTP Solution File: BOO025-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : Wed Aug 30 18:06:23 EDT 2023
% Result : Unsatisfiable 26.31s 26.56s
% Output : Proof 26.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:23:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yn07NJJb7T/cvc5---1.0.5_19283.p...
% 0.21/0.51 ------- get file name : TPTP file name is BOO025-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19283.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.57 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.44/15.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.44/20.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.46/25.74 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.31/26.56 % SZS status Unsatisfiable for BOO025-1
% 26.31/26.56 % SZS output start Proof for BOO025-1
% 26.41/26.59 (
% 26.41/26.59 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.multiply tptp.a _let_1))) (let ((_let_3 (tptp.inverse tptp.b))) (let ((_let_4 (tptp.multiply tptp.b _let_3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.pixley X Y X) X)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.pixley X Y Y) X)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.pixley X X Y) Y)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.inverse Y))) (= (tptp.pixley X Y Z) (tptp.add (tptp.multiply X _let_1) (tptp.add (tptp.multiply X Z) (tptp.multiply _let_1 Z)))))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.n1)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.add X Y) Y) Y)))) (let ((_let_14 (tptp.add _let_4 _let_4))) (let ((_let_15 (tptp.add tptp.b tptp.b))) (let ((_let_16 (tptp.multiply _let_3 _let_15))) (let ((_let_17 (= _let_16 _let_14))) (let ((_let_18 (tptp.add tptp.b _let_3))) (let ((_let_19 (= tptp.n1 _let_18))) (let ((_let_20 (tptp.add tptp.a _let_1))) (let ((_let_21 (= tptp.n1 _let_20))) (let ((_let_22 (tptp.multiply _let_3 _let_3))) (let ((_let_23 (tptp.add _let_4 _let_22))) (let ((_let_24 (tptp.add _let_4 _let_23))) (let ((_let_25 (tptp.pixley tptp.b tptp.b _let_3))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (= _let_3 _let_25))) (let ((_let_28 (tptp.multiply _let_15 tptp.b))) (let ((_let_29 (= tptp.b _let_28))) (let ((_let_30 (tptp.multiply _let_18 _let_3))) (let ((_let_31 (= _let_3 _let_30))) (let ((_let_32 (tptp.multiply _let_14 _let_4))) (let ((_let_33 (= _let_4 _let_32))) (let ((_let_34 (tptp.multiply _let_23 _let_22))) (let ((_let_35 (= _let_22 _let_34))) (let ((_let_36 (tptp.multiply _let_24 _let_23))) (let ((_let_37 (= _let_23 _let_36))) (let ((_let_38 (tptp.multiply _let_23 tptp.b))) (let ((_let_39 (tptp.multiply _let_4 tptp.b))) (let ((_let_40 (tptp.add _let_39 _let_38))) (let ((_let_41 (= (tptp.multiply tptp.b _let_24) _let_40))) (let ((_let_42 (tptp.multiply _let_23 _let_3))) (let ((_let_43 (tptp.multiply _let_4 _let_3))) (let ((_let_44 (tptp.add _let_43 _let_42))) (let ((_let_45 (= (tptp.multiply _let_3 _let_24) _let_44))) (let ((_let_46 (tptp.multiply _let_3 _let_18))) (let ((_let_47 (= _let_23 _let_46))) (let ((_let_48 (tptp.add _let_16 _let_16))) (let ((_let_49 (tptp.add _let_3 _let_3))) (let ((_let_50 (tptp.multiply _let_15 _let_49))) (let ((_let_51 (= _let_50 _let_48))) (let ((_let_52 (= _let_16 (tptp.multiply _let_48 _let_16)))) (let ((_let_53 (tptp.multiply _let_49 _let_3))) (let ((_let_54 (= _let_3 _let_53))) (let ((_let_55 (tptp.multiply _let_40 _let_38))) (let ((_let_56 (= _let_38 _let_55))) (let ((_let_57 (= _let_42 (tptp.multiply _let_44 _let_42)))) (let ((_let_58 (tptp.multiply _let_38 _let_14))) (let ((_let_59 (tptp.multiply _let_39 _let_14))) (let ((_let_60 (tptp.add _let_59 _let_58))) (let ((_let_61 (= (tptp.multiply _let_14 _let_40) _let_60))) (let ((_let_62 (= _let_36 (tptp.add (tptp.multiply _let_4 _let_24) (tptp.multiply _let_22 _let_24))))) (let ((_let_63 (tptp.multiply _let_23 _let_23))) (let ((_let_64 (tptp.multiply _let_4 _let_23))) (let ((_let_65 (tptp.add _let_64 _let_63))) (let ((_let_66 (= (tptp.multiply _let_23 _let_24) _let_65))) (let ((_let_67 (tptp.add (tptp.multiply tptp.a _let_3) (tptp.multiply _let_1 _let_3)))) (let ((_let_68 (= (tptp.multiply _let_3 _let_20) _let_67))) (let ((_let_69 (= (tptp.multiply _let_4 (tptp.add _let_14 _let_14)) (tptp.add _let_32 _let_32)))) (let ((_let_70 (tptp.add _let_15 _let_15))) (let ((_let_71 (tptp.multiply tptp.b _let_70))) (let ((_let_72 (= _let_71 (tptp.add _let_28 _let_28)))) (let ((_let_73 (tptp.add _let_4 _let_30))) (let ((_let_74 (tptp.add tptp.b _let_18))) (let ((_let_75 (tptp.multiply _let_3 _let_74))) (let ((_let_76 (= _let_75 _let_73))) (let ((_let_77 (tptp.add _let_22 _let_22))) (let ((_let_78 (tptp.multiply _let_3 _let_49))) (let ((_let_79 (= _let_78 _let_77))) (let ((_let_80 (tptp.add _let_23 _let_23))) (let ((_let_81 (= (tptp.multiply _let_22 _let_80) (tptp.add _let_34 _let_34)))) (let ((_let_82 (= (tptp.multiply _let_23 (tptp.add _let_24 _let_24)) (tptp.add _let_36 _let_36)))) (let ((_let_83 (tptp.add _let_39 _let_39))) (let ((_let_84 (tptp.multiply tptp.b _let_14))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (= (tptp.multiply _let_18 _let_49) (tptp.add _let_46 _let_46)))) (let ((_let_87 (tptp.multiply _let_49 _let_70))) (let ((_let_88 (= _let_87 (tptp.add _let_50 _let_50)))) (let ((_let_89 (tptp.add _let_22 _let_77))) (let ((_let_90 (tptp.pixley _let_3 tptp.b _let_3))) (let ((_let_91 (= _let_90 _let_89))) (let ((_let_92 (tptp.multiply _let_3 tptp.b))) (let ((_let_93 (tptp.add _let_39 _let_92))) (let ((_let_94 (tptp.add _let_43 _let_93))) (let ((_let_95 (tptp.pixley _let_4 tptp.b tptp.b))) (let ((_let_96 (= _let_95 _let_94))) (let ((_let_97 (tptp.multiply _let_4 _let_48))) (let ((_let_98 (= (tptp.multiply _let_48 _let_14) (tptp.add _let_97 _let_97)))) (let ((_let_99 (= _let_4 _let_95))) (let ((_let_100 (= _let_3 _let_90))) (let ((_let_101 (= (tptp.multiply _let_3 _let_89) (tptp.add (tptp.multiply _let_22 _let_3) (tptp.multiply _let_77 _let_3))))) (let ((_let_102 (tptp.multiply _let_77 _let_49))) (let ((_let_103 (tptp.multiply _let_22 _let_49))) (let ((_let_104 (= (tptp.multiply _let_49 _let_89) (tptp.add _let_103 _let_102)))) (let ((_let_105 (= (tptp.multiply _let_44 _let_65) (tptp.add (tptp.multiply _let_64 _let_44) (tptp.multiply _let_63 _let_44))))) (let ((_let_106 (tptp.add (tptp.multiply tptp.a _let_4) (tptp.multiply _let_1 _let_4)))) (let ((_let_107 (= (tptp.multiply _let_4 _let_20) _let_106))) (let ((_let_108 (tptp.add _let_49 _let_49))) (let ((_let_109 (tptp.multiply _let_3 _let_108))) (let ((_let_110 (= _let_109 (tptp.add _let_53 _let_53)))) (let ((_let_111 (tptp.multiply _let_70 _let_15))) (let ((_let_112 (= _let_111 (tptp.add _let_71 _let_71)))) (let ((_let_113 (tptp.add tptp.b _let_49))) (let ((_let_114 (tptp.multiply _let_3 _let_113))) (let ((_let_115 (= _let_114 (tptp.add _let_4 _let_53)))) (let ((_let_116 (tptp.add _let_4 _let_3))) (let ((_let_117 (tptp.multiply tptp.b _let_116))) (let ((_let_118 (= _let_93 _let_117))) (let ((_let_119 (tptp.add _let_38 _let_38))) (let ((_let_120 (tptp.multiply tptp.b _let_80))) (let ((_let_121 (= _let_120 _let_119))) (let ((_let_122 (= (tptp.multiply _let_38 (tptp.add _let_40 _let_40)) (tptp.add _let_55 _let_55)))) (let ((_let_123 (= (tptp.multiply _let_14 _let_119) (tptp.add _let_58 _let_58)))) (let ((_let_124 (= (tptp.multiply _let_74 _let_49) (tptp.add _let_75 _let_75)))) (let ((_let_125 (tptp.multiply _let_73 _let_30))) (let ((_let_126 (= _let_30 _let_125))) (let ((_let_127 (tptp.multiply _let_83 _let_39))) (let ((_let_128 (= _let_39 _let_127))) (let ((_let_129 (tptp.multiply _let_93 _let_92))) (let ((_let_130 (= _let_92 _let_129))) (let ((_let_131 (tptp.multiply _let_77 _let_22))) (let ((_let_132 (= _let_22 _let_131))) (let ((_let_133 (= _let_77 (tptp.multiply _let_89 _let_77)))) (let ((_let_134 (= _let_58 (tptp.multiply _let_60 _let_58)))) (let ((_let_135 (tptp.multiply _let_94 _let_93))) (let ((_let_136 (= _let_93 _let_135))) (let ((_let_137 (= _let_42 (tptp.multiply (tptp.add _let_42 _let_42) _let_42)))) (let ((_let_138 (= _let_15 _let_111))) (let ((_let_139 (tptp.add _let_2 _let_67))) (let ((_let_140 (tptp.pixley tptp.a tptp.a _let_3))) (let ((_let_141 (= _let_140 _let_139))) (let ((_let_142 (tptp.add _let_71 (tptp.multiply _let_3 _let_70)))) (let ((_let_143 (tptp.add _let_4 _let_142))) (let ((_let_144 (tptp.pixley tptp.b tptp.b _let_70))) (let ((_let_145 (= _let_144 _let_143))) (let ((_let_146 (tptp.add _let_38 _let_92))) (let ((_let_147 (tptp.add _let_42 _let_146))) (let ((_let_148 (tptp.pixley _let_23 tptp.b tptp.b))) (let ((_let_149 (= _let_148 _let_147))) (let ((_let_150 (= _let_23 _let_148))) (let ((_let_151 (tptp.multiply _let_3 _let_77))) (let ((_let_152 (= _let_102 (tptp.add _let_151 _let_151)))) (let ((_let_153 (= _let_3 _let_140))) (let ((_let_154 (= _let_70 _let_144))) (let ((_let_155 (tptp.multiply _let_2 tptp.b))) (let ((_let_156 (= (tptp.multiply tptp.b _let_139) (tptp.add _let_155 (tptp.multiply _let_67 tptp.b))))) (let ((_let_157 (= (tptp.multiply _let_4 _let_18) (tptp.add (tptp.multiply tptp.b _let_4) (tptp.multiply _let_3 _let_4))))) (let ((_let_158 (= (tptp.multiply _let_93 _let_23) (tptp.add (tptp.multiply _let_4 _let_93) (tptp.multiply _let_22 _let_93))))) (let ((_let_159 (= _let_135 (tptp.add (tptp.multiply _let_39 _let_94) (tptp.multiply _let_92 _let_94))))) (let ((_let_160 (= (tptp.multiply _let_30 (tptp.add _let_73 _let_73)) (tptp.add _let_125 _let_125)))) (let ((_let_161 (= (tptp.multiply _let_22 (tptp.add _let_77 _let_77)) (tptp.add _let_131 _let_131)))) (let ((_let_162 (= (tptp.multiply _let_39 (tptp.add _let_83 _let_83)) (tptp.add _let_127 _let_127)))) (let ((_let_163 (tptp.multiply _let_108 _let_49))) (let ((_let_164 (= _let_163 (tptp.add _let_109 _let_109)))) (let ((_let_165 (tptp.multiply _let_113 _let_49))) (let ((_let_166 (= _let_165 (tptp.add _let_114 _let_114)))) (let ((_let_167 (= (tptp.multiply _let_49 _let_49) (tptp.add _let_78 _let_78)))) (let ((_let_168 (= _let_146 (tptp.multiply tptp.b (tptp.add _let_23 _let_3))))) (let ((_let_169 (= (tptp.multiply _let_14 _let_15) (tptp.add _let_84 _let_84)))) (let ((_let_170 (= (tptp.multiply tptp.b (tptp.add _let_77 _let_3)) (tptp.add (tptp.multiply _let_77 tptp.b) _let_92)))) (let ((_let_171 (= (tptp.multiply _let_49 _let_77) (tptp.add _let_103 _let_103)))) (let ((_let_172 (= (tptp.multiply _let_116 _let_15) (tptp.add _let_117 _let_117)))) (let ((_let_173 (= (tptp.multiply _let_80 _let_15) (tptp.add _let_120 _let_120)))) (let ((_let_174 (= (tptp.multiply _let_92 (tptp.add _let_93 _let_93)) (tptp.add _let_129 _let_129)))) (let ((_let_175 (= _let_49 _let_165))) (let ((_let_176 (= _let_146 (tptp.multiply _let_147 _let_146)))) (let ((_let_177 (= _let_87 (tptp.multiply (tptp.add _let_71 _let_87) _let_87)))) (let ((_let_178 (= _let_49 _let_163))) (let ((_let_179 (tptp.add _let_2 _let_106))) (let ((_let_180 (tptp.pixley tptp.a tptp.a _let_4))) (let ((_let_181 (= _let_180 _let_179))) (let ((_let_182 (= _let_4 _let_180))) (let ((_let_183 (= (tptp.multiply _let_4 _let_143) (tptp.add (tptp.multiply _let_4 _let_4) (tptp.multiply _let_142 _let_4))))) (let ((_let_184 (tptp.pixley _let_2 tptp.b tptp.b))) (let ((_let_185 (= _let_184 (tptp.add (tptp.multiply _let_2 _let_3) (tptp.add _let_155 _let_92))))) (let ((_let_186 (tptp.add _let_22 _let_4))) (let ((_let_187 (= (tptp.multiply _let_186 _let_179) (tptp.add (tptp.multiply _let_2 _let_186) (tptp.multiply _let_106 _let_186))))) (let ((_let_188 (= _let_2 _let_184))) (let ((_let_189 (_let_12))) (let ((_let_190 (ASSUME :args _let_189))) (let ((_let_191 (tptp.multiply Z X))) (let ((_let_192 (tptp.multiply Y X))) (let ((_let_193 (_let_192 _let_191))) (let ((_let_194 (forall ((X $$unsorted)) (= tptp.n1 (tptp.add X (tptp.inverse X)))))) (let ((_let_195 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_196 (_let_194))) (let ((_let_197 ((tptp.inverse X)))) (let ((_let_198 (_let_10))) (let ((_let_199 (ASSUME :args _let_198))) (let ((_let_200 (tptp.multiply X Z))) (let ((_let_201 (tptp.inverse Y))) (let ((_let_202 ((tptp.multiply X _let_201) _let_200))) (let ((_let_203 (forall ((X $$unsorted) (Y $$unsorted)) (= Y (tptp.pixley X X Y))))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (_let_203))) (let ((_let_206 (forall ((X $$unsorted) (Y $$unsorted)) (= Y (tptp.multiply (tptp.add X Y) Y))))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (_let_206))) (let ((_let_209 ((tptp.add X Y)))) (let ((_let_210 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_211 ((tptp.add _let_192 _let_191)))) (let ((_let_212 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.pixley X Y Y))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (_let_212))) (let ((_let_215 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.pixley X Y X))))) (let ((_let_216 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_217 ((tptp.add _let_200 (tptp.multiply _let_201 Z))))) (let ((_let_218 (and _let_17 _let_19 _let_21 _let_26 _let_27 _let_29 _let_31 _let_33 _let_35 _let_37 _let_41 _let_45 _let_47 _let_51 _let_52 _let_54 _let_56 _let_57 _let_61 _let_62 _let_66 _let_68 _let_69 _let_72 _let_76 _let_79 _let_81 _let_82 _let_85 _let_86 _let_88 _let_91 _let_96 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_107 _let_110 _let_112 _let_115 _let_118 _let_121 _let_122 _let_123 _let_124 _let_126 _let_128 _let_130 _let_132 _let_133 _let_134 _let_136 _let_137 _let_138 _let_141 _let_145 _let_149 _let_150 _let_152 _let_153 _let_154 _let_156 _let_157 _let_158 _let_159 _let_160 _let_161 _let_162 _let_164 _let_166 _let_167 _let_168 _let_169 _let_170 _let_171 _let_172 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178 _let_181 _let_182 _let_183 _let_185 _let_187 _let_188))) (let ((_let_219 (ASSUME :args (_let_188)))) (let ((_let_220 (ASSUME :args (_let_185)))) (let ((_let_221 (APPLY_UF tptp.add))) (let ((_let_222 (APPLY_UF tptp.multiply))) (let ((_let_223 (REFL :args (tptp.b)))) (let ((_let_224 (ASSUME :args (_let_54)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (ASSUME :args (_let_100)))) (let ((_let_227 (ASSUME :args (_let_91)))) (let ((_let_228 (TRANS (SYMM _let_227) (SYMM _let_226)))) (let ((_let_229 (REFL :args (_let_49)))) (let ((_let_230 (CONG _let_229 _let_228 :args _let_222))) (let ((_let_231 (ASSUME :args (_let_104)))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (TRANS _let_232 _let_230 _let_225))) (let ((_let_234 (ASSUME :args (_let_152)))) (let ((_let_235 (REFL :args (_let_77)))) (let ((_let_236 (ASSUME :args (_let_27)))) (let ((_let_237 (SYMM _let_236))) (let ((_let_238 (ASSUME :args (_let_26)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (TRANS _let_239 _let_237))) (let ((_let_241 (SYMM _let_240))) (let ((_let_242 (CONG (TRANS _let_228 _let_241) _let_235 :args _let_222))) (let ((_let_243 (ASSUME :args (_let_133)))) (let ((_let_244 (SYMM _let_243))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (ASSUME :args (_let_35)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (CONG _let_247 _let_247 :args _let_221))) (let ((_let_249 (ASSUME :args (_let_81)))) (let ((_let_250 (SYMM _let_249))) (let ((_let_251 (SYMM _let_250))) (let ((_let_252 (TRANS _let_251 _let_248 _let_245 _let_242 (CONG _let_240 _let_235 :args _let_222)))) (let ((_let_253 (ASSUME :args (_let_79)))) (let ((_let_254 (SYMM _let_253))) (let ((_let_255 (SYMM _let_254))) (let ((_let_256 (ASSUME :args (_let_175)))) (let ((_let_257 (SYMM _let_256))) (let ((_let_258 (ASSUME :args (_let_166)))) (let ((_let_259 (SYMM _let_258))) (let ((_let_260 (ASSUME :args (_let_115)))) (let ((_let_261 (ASSUME :args (_let_31)))) (let ((_let_262 (SYMM _let_261))) (let ((_let_263 (REFL :args (_let_4)))) (let ((_let_264 (TRANS (CONG _let_263 (TRANS _let_262 _let_224) :args _let_221) (SYMM _let_260)))) (let ((_let_265 (CONG _let_264 _let_264 :args _let_221))) (let ((_let_266 (CONG _let_262 (TRANS _let_265 _let_259 _let_257) :args _let_222))) (let ((_let_267 (ASSUME :args (_let_160)))) (let ((_let_268 (SYMM _let_267))) (let ((_let_269 (ASSUME :args (_let_126)))) (let ((_let_270 (SYMM _let_269))) (let ((_let_271 (SYMM _let_270))) (let ((_let_272 (TRANS _let_261 _let_271))) (let ((_let_273 (CONG _let_272 _let_272 :args _let_221))) (let ((_let_274 (ASSUME :args (_let_76)))) (let ((_let_275 (SYMM (SYMM _let_274)))) (let ((_let_276 (CONG _let_275 _let_275 :args _let_221))) (let ((_let_277 (ASSUME :args (_let_124)))) (let ((_let_278 (SYMM _let_277))) (let ((_let_279 (TRANS (SYMM _let_278) _let_276 _let_265 _let_259 _let_257 _let_273 _let_268 _let_266 _let_255 (SYMM _let_248) _let_250))) (let ((_let_280 (CONG _let_279 _let_279 :args _let_221))) (let ((_let_281 (TRANS _let_256 _let_258 (SYMM _let_265) (SYMM _let_276) _let_278))) (let ((_let_282 (CONG _let_281 _let_281 :args _let_221))) (let ((_let_283 (ASSUME :args (_let_110)))) (let ((_let_284 (TRANS (SYMM (SYMM _let_283)) (CONG _let_225 _let_225 :args _let_221)))) (let ((_let_285 (CONG _let_284 _let_284 :args _let_221))) (let ((_let_286 (ASSUME :args (_let_164)))) (let ((_let_287 (SYMM _let_286))) (let ((_let_288 (SYMM _let_287))) (let ((_let_289 (ASSUME :args (_let_178)))) (let ((_let_290 (SYMM _let_289))) (let ((_let_291 (SYMM _let_290))) (let ((_let_292 (SYMM _let_273))) (let ((_let_293 (SYMM _let_266))) (let ((_let_294 (ASSUME :args (_let_132)))) (let ((_let_295 (SYMM _let_294))) (let ((_let_296 (CONG _let_295 _let_295 :args _let_221))) (let ((_let_297 (ASSUME :args (_let_161)))) (let ((_let_298 (SYMM (SYMM _let_297)))) (let ((_let_299 (TRANS _let_251 _let_248))) (let ((_let_300 (REFL :args (_let_22)))) (let ((_let_301 (CONG _let_300 (TRANS _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 (CONG _let_299 _let_299 :args _let_221)) :args _let_222))) (let ((_let_302 (TRANS _let_273 _let_268 _let_266 _let_255))) (let ((_let_303 (CONG (REFL :args (_let_103)) (TRANS (CONG _let_300 _let_302 :args _let_222) _let_301 _let_298 _let_296 _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 (CONG _let_252 _let_252 :args _let_221) (SYMM _let_234)) :args _let_221))) (let ((_let_304 (ASSUME :args (_let_171)))) (let ((_let_305 (SYMM _let_304))) (let ((_let_306 (SYMM _let_305))) (let ((_let_307 (CONG _let_229 _let_302 :args _let_222))) (let ((_let_308 (ASSUME :args (_let_167)))) (let ((_let_309 (SYMM _let_308))) (let ((_let_310 (TRANS _let_251 _let_248 _let_254))) (let ((_let_311 (CONG _let_310 _let_310 :args _let_221))) (let ((_let_312 (TRANS _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 _let_311 _let_309 _let_307 _let_306 _let_303))) (let ((_let_313 (SYMM _let_242))) (let ((_let_314 (SYMM _let_285))) (let ((_let_315 (SYMM _let_282))) (let ((_let_316 (SYMM _let_280))) (let ((_let_317 (SYMM _let_311))) (let ((_let_318 (SYMM _let_307))) (let ((_let_319 (SYMM _let_303))) (let ((_let_320 (SYMM _let_230))) (let ((_let_321 (ASSUME :args (_let_153)))) (let ((_let_322 (SYMM _let_321))) (let ((_let_323 (ASSUME :args (_let_141)))) (let ((_let_324 (SYMM _let_323))) (let ((_let_325 (TRANS _let_324 _let_322 _let_224 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255))) (let ((_let_326 (CONG _let_241 _let_325 :args _let_222))) (let ((_let_327 (TRANS _let_321 _let_323))) (let ((_let_328 (REFL :args (_let_3)))) (let ((_let_329 (CONG _let_328 _let_327 :args _let_222))) (let ((_let_330 (CONG _let_328 _let_240 :args _let_222))) (let ((_let_331 (ASSUME :args (_let_45)))) (let ((_let_332 (SYMM _let_331))) (let ((_let_333 (REFL :args (_let_23)))) (let ((_let_334 (CONG _let_333 (SYMM _let_327) :args _let_222))) (let ((_let_335 (SYMM _let_325))) (let ((_let_336 (ASSUME :args (_let_47)))) (let ((_let_337 (SYMM _let_336))) (let ((_let_338 (ASSUME :args (_let_19)))) (let ((_let_339 (ASSUME :args (_let_21)))) (let ((_let_340 (TRANS (SYMM _let_339) (SYMM (SYMM _let_338))))) (let ((_let_341 (ASSUME :args (_let_68)))) (let ((_let_342 (TRANS (SYMM _let_341) (CONG _let_328 _let_340 :args _let_222) _let_337))) (let ((_let_343 (CONG _let_342 _let_335 :args _let_222))) (let ((_let_344 (CONG (SYMM _let_342) (TRANS (CONG _let_240 _let_240 :args _let_221) _let_273 _let_268 _let_266 _let_255) :args _let_222))) (let ((_let_345 (ASSUME :args (_let_82)))) (let ((_let_346 (SYMM _let_345))) (let ((_let_347 (ASSUME :args (_let_37)))) (let ((_let_348 (SYMM (SYMM _let_347)))) (let ((_let_349 (TRANS _let_337 _let_348))) (let ((_let_350 (CONG _let_349 _let_349 :args _let_221))) (let ((_let_351 (ASSUME :args (_let_86)))) (let ((_let_352 (SYMM _let_351))) (let ((_let_353 (SYMM _let_352))) (let ((_let_354 (CONG _let_340 _let_229 :args _let_222))) (let ((_let_355 (SYMM _let_302))) (let ((_let_356 (CONG (SYMM _let_340) _let_355 :args _let_222))) (let ((_let_357 (REFL :args (_let_18)))) (let ((_let_358 (CONG _let_357 _let_325 :args _let_222))) (let ((_let_359 (CONG _let_357 _let_327 :args _let_222))) (let ((_let_360 (REFL :args (_let_73)))) (let ((_let_361 (CONG _let_360 (TRANS _let_324 _let_322 _let_261) :args _let_222))) (let ((_let_362 (CONG _let_360 _let_327 :args _let_222))) (let ((_let_363 (CONG (REFL :args (_let_43)) (TRANS _let_362 _let_361 _let_270 _let_359 _let_358 _let_356 _let_354 _let_353 _let_350 _let_346 _let_344 _let_343 _let_334) :args _let_221))) (let ((_let_364 (SYMM _let_362))) (let ((_let_365 (SYMM _let_361))) (let ((_let_366 (CONG _let_355 _let_328 :args _let_222))) (let ((_let_367 (TRANS _let_332 _let_330))) (let ((_let_368 (ASSUME :args (_let_101)))) (let ((_let_369 (TRANS (TRANS (SYMM _let_368) (CONG _let_328 _let_228 :args _let_222) (SYMM _let_330) _let_331) _let_367))) (let ((_let_370 (SYMM _let_366))) (let ((_let_371 (CONG (CONG _let_263 _let_240 :args _let_222) (TRANS (CONG (SYMM _let_369) (TRANS _let_239 _let_237 _let_224 _let_370) :args _let_222) (CONG _let_369 (TRANS _let_366 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255) :args _let_222) _let_301 _let_298 _let_296 _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 _let_311 _let_309 _let_307 _let_306 _let_303 _let_232 _let_230 _let_225 _let_261 _let_271 _let_365 _let_364) :args _let_221))) (let ((_let_372 (ASSUME :args (_let_62)))) (let ((_let_373 (SYMM (SYMM _let_372)))) (let ((_let_374 (TRANS _let_348 _let_373 _let_371 _let_363 _let_332 _let_330 _let_329 _let_326 _let_313 _let_244))) (let ((_let_375 (TRANS _let_374 _let_312 _let_233))) (let ((_let_376 (ASSUME :args (_let_156)))) (let ((_let_377 (CONG _let_223 (TRANS _let_239 _let_237 _let_321 _let_323) :args _let_222))) (let ((_let_378 (CONG _let_223 _let_241 :args _let_222))) (let ((_let_379 (ASSUME :args (_let_33)))) (let ((_let_380 (SYMM _let_379))) (let ((_let_381 (SYMM _let_378))) (let ((_let_382 (ASSUME :args (_let_41)))) (let ((_let_383 (TRANS (SYMM _let_382) _let_381))) (let ((_let_384 (REFL :args (_let_14)))) (let ((_let_385 (CONG _let_384 _let_383 :args _let_222))) (let ((_let_386 (SYMM _let_377))) (let ((_let_387 (CONG _let_223 _let_335 :args _let_222))) (let ((_let_388 (SYMM _let_359))) (let ((_let_389 (SYMM _let_358))) (let ((_let_390 (SYMM _let_356))) (let ((_let_391 (SYMM _let_354))) (let ((_let_392 (SYMM _let_350))) (let ((_let_393 (CONG _let_348 _let_348 :args _let_221))) (let ((_let_394 (TRANS _let_393 _let_392 _let_352 _let_391 _let_390 _let_389 _let_388 _let_262 _let_224 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255))) (let ((_let_395 (CONG _let_223 _let_394 :args _let_222))) (let ((_let_396 (ASSUME :args (_let_121)))) (let ((_let_397 (SYMM _let_396))) (let ((_let_398 (CONG _let_384 (TRANS _let_397 _let_395 _let_387 _let_386 _let_382) :args _let_222))) (let ((_let_399 (ASSUME :args (_let_123)))) (let ((_let_400 (SYMM _let_399))) (let ((_let_401 (ASSUME :args (_let_134)))) (let ((_let_402 (SYMM _let_401))) (let ((_let_403 (CONG _let_402 _let_402 :args _let_221))) (let ((_let_404 (ASSUME :args (_let_17)))) (let ((_let_405 (SYMM _let_404))) (let ((_let_406 (SYMM _let_405))) (let ((_let_407 (ASSUME :args (_let_52)))) (let ((_let_408 (SYMM _let_407))) (let ((_let_409 (CONG (REFL :args (_let_48)) _let_405 :args _let_222))) (let ((_let_410 (ASSUME :args (_let_98)))) (let ((_let_411 (SYMM _let_410))) (let ((_let_412 (CONG _let_405 _let_405 :args _let_221))) (let ((_let_413 (ASSUME :args (_let_69)))) (let ((_let_414 (SYMM _let_413))) (let ((_let_415 (CONG _let_379 _let_379 :args _let_221))) (let ((_let_416 (TRANS _let_415 _let_414 (CONG _let_263 _let_412 :args _let_222)))) (let ((_let_417 (CONG _let_416 _let_416 :args _let_221))) (let ((_let_418 (SYMM _let_412))) (let ((_let_419 (TRANS _let_418 _let_417 _let_411 _let_409 _let_408 _let_406))) (let ((_let_420 (REFL :args (_let_38)))) (let ((_let_421 (CONG _let_420 _let_419 :args _let_222))) (let ((_let_422 (SYMM _let_417))) (let ((_let_423 (SYMM _let_409))) (let ((_let_424 (CONG _let_420 (TRANS (CONG _let_383 _let_383 :args _let_221) _let_405 _let_407 _let_423 _let_410 _let_422 _let_412) :args _let_222))) (let ((_let_425 (ASSUME :args (_let_122)))) (let ((_let_426 (SYMM _let_425))) (let ((_let_427 (ASSUME :args (_let_56)))) (let ((_let_428 (SYMM (SYMM _let_427)))) (let ((_let_429 (CONG _let_428 _let_428 :args _let_221))) (let ((_let_430 (TRANS _let_396 _let_429 _let_426 _let_424 _let_421 _let_401))) (let ((_let_431 (CONG _let_430 _let_430 :args _let_221))) (let ((_let_432 (ASSUME :args (_let_173)))) (let ((_let_433 (SYMM _let_432))) (let ((_let_434 (SYMM _let_433))) (let ((_let_435 (REFL :args (_let_15)))) (let ((_let_436 (SYMM _let_312))) (let ((_let_437 (SYMM _let_233))) (let ((_let_438 (CONG (TRANS _let_437 _let_436 (SYMM _let_394)) _let_435 :args _let_222))) (let ((_let_439 (TRANS _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380))) (let ((_let_440 (CONG _let_383 _let_439 :args _let_221))) (let ((_let_441 (SYMM _let_438))) (let ((_let_442 (SYMM _let_431))) (let ((_let_443 (SYMM _let_403))) (let ((_let_444 (SYMM _let_398))) (let ((_let_445 (SYMM _let_385))) (let ((_let_446 (CONG _let_223 (TRANS (CONG _let_333 (SYMM _let_375) :args _let_221) _let_393 _let_392 _let_352 _let_391 _let_390 _let_389 _let_388 _let_262 _let_224 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255) :args _let_222))) (let ((_let_447 (ASSUME :args (_let_168)))) (let ((_let_448 (SYMM _let_447))) (let ((_let_449 (SYMM _let_448))) (let ((_let_450 (ASSUME :args (_let_176)))) (let ((_let_451 (SYMM _let_450))) (let ((_let_452 (SYMM _let_446))) (let ((_let_453 (SYMM _let_387))) (let ((_let_454 (ASSUME :args (_let_149)))) (let ((_let_455 (SYMM _let_454))) (let ((_let_456 (ASSUME :args (_let_150)))) (let ((_let_457 (SYMM _let_456))) (let ((_let_458 (SYMM _let_374))) (let ((_let_459 (CONG (TRANS _let_437 _let_436 _let_458 (TRANS (SYMM _let_457) (SYMM _let_455))) (TRANS _let_405 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_378 _let_377 _let_453 _let_452 _let_448) :args _let_222))) (let ((_let_460 (CONG _let_263 (TRANS _let_245 _let_242 (SYMM _let_326) (SYMM _let_329)) :args _let_221))) (let ((_let_461 (CONG _let_223 (TRANS _let_460 _let_348 _let_373 _let_371 _let_363 _let_332 _let_330 _let_329 _let_326 _let_313 _let_244) :args _let_222))) (let ((_let_462 (CONG _let_263 (TRANS _let_362 _let_361 _let_270 _let_262 _let_224 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255) :args _let_221))) (let ((_let_463 (CONG _let_263 (TRANS _let_271 _let_365 _let_364) :args _let_221))) (let ((_let_464 (CONG _let_263 _let_261 :args _let_221))) (let ((_let_465 (CONG _let_223 (TRANS _let_464 _let_463 _let_462) :args _let_222))) (let ((_let_466 (ASSUME :args (_let_118)))) (let ((_let_467 (SYMM (SYMM _let_466)))) (let ((_let_468 (TRANS _let_467 _let_465 _let_461 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_406))) (let ((_let_469 (SYMM _let_367))) (let ((_let_470 (SYMM _let_383))) (let ((_let_471 (ASSUME :args (_let_136)))) (let ((_let_472 (SYMM _let_471))) (let ((_let_473 (ASSUME :args (_let_96)))) (let ((_let_474 (SYMM (SYMM _let_473)))) (let ((_let_475 (ASSUME :args (_let_99)))) (let ((_let_476 (SYMM (SYMM _let_475)))) (let ((_let_477 (ASSUME :args (_let_158)))) (let ((_let_478 (TRANS _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_406))) (let ((_let_479 (ASSUME :args (_let_138)))) (let ((_let_480 (ASSUME :args (_let_112)))) (let ((_let_481 (ASSUME :args (_let_72)))) (let ((_let_482 (ASSUME :args (_let_29)))) (let ((_let_483 (SYMM (SYMM _let_482)))) (let ((_let_484 (TRANS (CONG _let_483 _let_483 :args _let_221) (SYMM _let_481)))) (let ((_let_485 (TRANS (CONG _let_484 _let_484 :args _let_221) (SYMM _let_480) (SYMM _let_479)))) (let ((_let_486 (CONG _let_328 _let_485 :args _let_222))) (let ((_let_487 (ASSUME :args (_let_51)))) (let ((_let_488 (TRANS (SYMM (SYMM _let_487)) _let_418 _let_417 _let_411 _let_409 _let_408 _let_406))) (let ((_let_489 (CONG _let_488 _let_488 :args _let_221))) (let ((_let_490 (ASSUME :args (_let_88)))) (let ((_let_491 (SYMM _let_490))) (let ((_let_492 (SYMM _let_491))) (let ((_let_493 (CONG (TRANS (TRANS _let_492 _let_489 _let_417 _let_411 _let_409 _let_408) _let_406) (TRANS _let_486 _let_406) :args _let_221))) (let ((_let_494 (ASSUME :args (_let_137)))) (let ((_let_495 (SYMM _let_393))) (let ((_let_496 (TRANS _let_366 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266))) (let ((_let_497 (TRANS _let_224 _let_370))) (let ((_let_498 (CONG _let_240 _let_328 :args _let_222))) (let ((_let_499 (TRANS (CONG _let_469 _let_263 :args _let_221) (CONG (TRANS _let_367 (SYMM _let_498) (TRANS _let_498 _let_329 _let_326 _let_313 _let_244 _let_254) (SYMM _let_496) (SYMM _let_497) _let_224) (TRANS _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_407 _let_423 _let_410 _let_422 (SYMM _let_493)) :args _let_221) (CONG (TRANS _let_225 _let_497 _let_496 (TRANS _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 _let_311 _let_309 _let_307 _let_306 _let_303 _let_232 _let_230 _let_225 _let_261 _let_359 _let_358 _let_356 _let_354 _let_353 _let_350 _let_495) (TRANS _let_393 _let_346) (TRANS _let_344 _let_343 _let_334 _let_494) (SYMM _let_494)) (TRANS _let_493 _let_417 _let_411 _let_409 _let_408 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_378 _let_377 _let_453 _let_452 _let_448) :args _let_221) _let_455 _let_457 _let_348 _let_373 _let_371 _let_363 _let_332 _let_330 _let_329 _let_326 _let_313 _let_244))) (let ((_let_500 (SYMM _let_478))) (let ((_let_501 (ASSUME :args (_let_159)))) (let ((_let_502 (SYMM _let_344))) (let ((_let_503 (SYMM _let_343))) (let ((_let_504 (SYMM _let_334))) (let ((_let_505 (CONG _let_263 (TRANS _let_504 _let_503 _let_502 _let_345 _let_392 _let_352 _let_391 _let_390 _let_389 _let_388 _let_262 _let_224 _let_320 _let_231 _let_319 _let_305 _let_318 _let_308 _let_317 _let_316 _let_315 _let_314 _let_287 _let_290 _let_273 _let_268 _let_266 _let_255) :args _let_221))) (let ((_let_506 (ASSUME :args (_let_172)))) (let ((_let_507 (ASSUME :args (_let_174)))) (let ((_let_508 (ASSUME :args (_let_130)))) (let ((_let_509 (SYMM (SYMM _let_508)))) (let ((_let_510 (TRANS _let_312 _let_233))) (let ((_let_511 (ASSUME :args (_let_170)))) (let ((_let_512 (CONG _let_263 (TRANS _let_405 _let_407 _let_423 _let_410 _let_422) :args _let_222))) (let ((_let_513 (REFL :args (_let_39)))) (let ((_let_514 (CONG _let_513 (SYMM _let_419) :args _let_222))) (let ((_let_515 (ASSUME :args (_let_177)))) (let ((_let_516 (SYMM _let_489))) (let ((_let_517 (ASSUME :args (_let_61)))) (let ((_let_518 (ASSUME :args (_let_183)))) (let ((_let_519 (ASSUME :args (_let_145)))) (let ((_let_520 (ASSUME :args (_let_154)))) (let ((_let_521 (ASSUME :args (_let_169)))) (let ((_let_522 (ASSUME :args (_let_85)))) (let ((_let_523 (SYMM _let_522))) (let ((_let_524 (ASSUME :args (_let_162)))) (let ((_let_525 (ASSUME :args (_let_128)))) (let ((_let_526 (SYMM (SYMM _let_525)))) (let ((_let_527 (ASSUME :args (_let_57)))) (let ((_let_528 (ASSUME :args (_let_66)))) (let ((_let_529 (CONG (REFL :args (_let_44)) (TRANS (SYMM _let_528) (CONG _let_333 _let_240 :args _let_222)) :args _let_222))) (let ((_let_530 (ASSUME :args (_let_105)))) (let ((_let_531 (TRANS (TRANS _let_527 (SYMM _let_529) _let_530) (TRANS (SYMM _let_530) _let_529 (SYMM _let_527) _let_504 _let_503 _let_502 _let_345 _let_495) _let_394 _let_312 _let_233))) (let ((_let_532 (ASSUME :args (_let_157)))) (let ((_let_533 (ASSUME :args (_let_107)))) (let ((_let_534 (REFL :args (_let_2)))) (let ((_let_535 (CONG _let_534 _let_302 :args _let_222))) (let ((_let_536 (ASSUME :args (_let_187)))) (let ((_let_537 (ASSUME :args (_let_181)))) (let ((_let_538 (ASSUME :args (_let_182)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_218)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_536 _let_220 _let_219 _let_518 _let_289 _let_515 _let_450 _let_256 _let_507 _let_304 _let_511 _let_286 _let_297 _let_258 _let_501 _let_477 _let_376 _let_520 _let_321 _let_532 _let_456 _let_454 _let_481 _let_527 _let_267 _let_413 _let_372 _let_427 _let_341 _let_506 _let_519 _let_274 _let_524 _let_522 _let_224 _let_473 _let_339 _let_345 _let_521 _let_308 _let_487 _let_404 _let_368 _let_249 _let_482 _let_338 _let_236 _let_432 _let_253 _let_347 _let_382 _let_528 _let_234 _let_396 _let_447 _let_238 _let_261 _let_227 _let_517 _let_246 _let_331 _let_538 _let_537 _let_379 _let_336 _let_283 _let_351 _let_410 _let_277 _let_231 _let_490 _let_475 _let_508 _let_226 _let_530 _let_480 _let_260 _let_425 _let_399 _let_407 _let_269 _let_525 _let_294 _let_466 _let_479 _let_243 _let_533 _let_401 _let_471 _let_494 _let_323) (SCOPE (TRANS _let_378 _let_377 _let_453 _let_452 _let_448 _let_450 (SYMM _let_459) (CONG (TRANS _let_437 _let_436 (SYMM _let_499)) (TRANS _let_405 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 (SYMM (SYMM _let_538)) (SYMM (SYMM _let_537))) :args _let_222) (SYMM (SYMM _let_536)) (CONG (TRANS (TRANS (CONG _let_534 _let_499 :args _let_222) (SYMM _let_535)) (TRANS _let_535 (CONG _let_534 _let_510 :args _let_222))) (TRANS (CONG (TRANS (TRANS (SYMM _let_533) (CONG _let_263 _let_340 :args _let_222) (SYMM (SYMM _let_532)) (CONG (CONG _let_223 _let_478 :args _let_222) (TRANS (CONG (SYMM _let_531) _let_263 :args _let_222) (CONG _let_531 _let_478 :args _let_222) _let_459 _let_451 _let_449 _let_446 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_406 _let_415 _let_414 (SYMM _let_512)) :args _let_221) (CONG (TRANS (TRANS _let_522 (CONG _let_526 _let_526 :args _let_221) (SYMM _let_524) (CONG _let_513 (TRANS (CONG _let_523 _let_523 :args _let_221) (SYMM _let_521) (CONG _let_500 (SYMM _let_485) :args _let_222) (CONG _let_263 (TRANS (SYMM (SYMM _let_520)) (SYMM (SYMM _let_519))) :args _let_222) (SYMM (SYMM _let_518)) (CONG (TRANS (TRANS (CONG (TRANS _let_379 _let_445 (SYMM (SYMM _let_517))) (TRANS _let_378 _let_377 _let_453 (SYMM _let_395) _let_396 _let_429 _let_426 _let_424 _let_421) :args _let_222) _let_402 (SYMM _let_421) (SYMM _let_424) _let_425 (SYMM _let_429) _let_397 _let_395 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441) _let_439 _let_470) (TRANS (CONG (CONG (REFL :args (_let_71)) (TRANS _let_486 _let_407 _let_423 _let_410 _let_422 _let_516 _let_491) :args _let_221) (TRANS _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_407 _let_423 _let_410 _let_422 _let_516 _let_491) :args _let_222) (SYMM _let_515) _let_492 _let_489 _let_417 _let_411 _let_409 _let_408) :args _let_221) _let_440 _let_405 _let_407 _let_423 _let_410 _let_422 _let_412) :args _let_222) (SYMM _let_514)) (TRANS _let_514 (CONG _let_513 (TRANS _let_418 _let_417 _let_411 _let_409 _let_408 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_476 _let_474) :args _let_222))) (TRANS _let_512 _let_413 (SYMM _let_415) _let_405 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_378 _let_377 _let_453 (CONG _let_223 (TRANS _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 (CONG _let_299 (TRANS _let_251 _let_248 _let_254 _let_293 _let_267 _let_292 _let_291 _let_288 _let_285 _let_282 _let_280 _let_311 _let_309 _let_307 _let_306 _let_303 _let_232 _let_230 _let_225) :args _let_221)) :args _let_222) (SYMM (SYMM _let_511)) (CONG (TRANS (CONG _let_510 _let_223 :args _let_222) _let_509) _let_509 :args _let_221) (SYMM _let_507) (CONG (REFL :args (_let_92)) (TRANS (CONG _let_467 _let_467 :args _let_221) (SYMM _let_506) (CONG (TRANS _let_464 (TRANS _let_463 _let_462 (SYMM _let_505)) (TRANS _let_505 _let_460 _let_348 _let_373 _let_371 _let_363 _let_332 _let_330 _let_329 _let_326 _let_313 _let_244) _let_312 _let_233) _let_435 :args _let_222) _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_476 _let_474) :args _let_222)) :args _let_221) (SYMM _let_501) _let_472 _let_467 _let_465 _let_461 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441 _let_406) _let_500) _let_499 :args _let_222) (CONG (TRANS _let_478 (SYMM _let_468)) _let_458 :args _let_222) (SYMM (SYMM _let_477)) (CONG (TRANS (TRANS (CONG (TRANS _let_476 _let_474) (REFL :args (_let_93)) :args _let_222) _let_472) (TRANS _let_467 _let_465 _let_461 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441) _let_439 _let_470) (TRANS (CONG (TRANS _let_469 (TRANS _let_332 _let_330 _let_294) (TRANS _let_295 _let_329 _let_326 _let_313 _let_244) _let_312 _let_233) _let_468 :args _let_222) _let_459 _let_451 _let_449 _let_446 _let_387 _let_386 _let_381 _let_379 _let_445 _let_444 _let_399 _let_443 _let_442 _let_433 _let_441) :args _let_221) _let_440 _let_405 _let_438 _let_434 _let_431 _let_403 _let_400 _let_398 _let_385 _let_380 _let_378 _let_377 (SYMM (SYMM _let_376)) (CONG (REFL :args (_let_155)) (TRANS (CONG _let_342 _let_223 :args _let_222) (CONG _let_375 _let_223 :args _let_222)) :args _let_221)) :args _let_221) (SYMM _let_220) (SYMM _let_219)) :args (_let_187 _let_185 _let_188 _let_183 _let_178 _let_177 _let_176 _let_175 _let_174 _let_171 _let_170 _let_164 _let_161 _let_166 _let_159 _let_158 _let_156 _let_154 _let_153 _let_157 _let_150 _let_149 _let_72 _let_57 _let_160 _let_69 _let_62 _let_56 _let_68 _let_172 _let_145 _let_76 _let_162 _let_85 _let_54 _let_96 _let_21 _let_82 _let_169 _let_167 _let_51 _let_17 _let_101 _let_81 _let_29 _let_19 _let_27 _let_173 _let_79 _let_37 _let_41 _let_66 _let_152 _let_121 _let_168 _let_26 _let_31 _let_91 _let_61 _let_35 _let_45 _let_182 _let_181 _let_33 _let_47 _let_110 _let_86 _let_98 _let_124 _let_104 _let_88 _let_99 _let_130 _let_100 _let_105 _let_112 _let_115 _let_122 _let_123 _let_52 _let_126 _let_128 _let_132 _let_118 _let_138 _let_133 _let_107 _let_134 _let_136 _let_137 _let_141))) :args (_let_17 _let_19 _let_21 _let_26 _let_27 _let_29 _let_31 _let_33 _let_35 _let_37 _let_41 _let_45 _let_47 _let_51 _let_52 _let_54 _let_56 _let_57 _let_61 _let_62 _let_66 _let_68 _let_69 _let_72 _let_76 _let_79 _let_81 _let_82 _let_85 _let_86 _let_88 _let_91 _let_96 _let_98 _let_99 _let_100 _let_101 _let_104 _let_105 _let_107 _let_110 _let_112 _let_115 _let_118 _let_121 _let_122 _let_123 _let_124 _let_126 _let_128 _let_130 _let_132 _let_133 _let_134 _let_136 _let_137 _let_138 _let_141 _let_145 _let_149 _let_150 _let_152 _let_153 _let_154 _let_156 _let_157 _let_158 _let_159 _let_160 _let_161 _let_162 _let_164 _let_166 _let_167 _let_168 _let_169 _let_170 _let_171 _let_172 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178 _let_181 _let_182 _let_183 _let_185 _let_187 _let_188))) :args (true _let_218)) :args ((or _let_5 (not _let_17) (not _let_19) (not _let_21) (not _let_26) (not _let_27) (not _let_29) (not _let_31) (not _let_33) (not _let_35) (not _let_37) (not _let_41) (not _let_45) (not _let_47) (not _let_51) (not _let_52) (not _let_54) (not _let_56) (not _let_57) (not _let_61) (not _let_62) (not _let_66) (not _let_68) (not _let_69) (not _let_72) (not _let_76) (not _let_79) (not _let_81) (not _let_82) (not _let_85) (not _let_86) (not _let_88) (not _let_91) (not _let_96) (not _let_98) (not _let_99) (not _let_100) (not _let_101) (not _let_104) (not _let_105) (not _let_107) (not _let_110) (not _let_112) (not _let_115) (not _let_118) (not _let_121) (not _let_122) (not _let_123) (not _let_124) (not _let_126) (not _let_128) (not _let_130) (not _let_132) (not _let_133) (not _let_134) (not _let_136) (not _let_137) (not _let_138) (not _let_141) (not _let_145) (not _let_149) (not _let_150) (not _let_152) (not _let_153) (not _let_154) (not _let_156) (not _let_157) (not _let_158) (not _let_159) (not _let_160) (not _let_161) (not _let_162) (not _let_164) (not _let_166) (not _let_167) (not _let_168) (not _let_169) (not _let_170) (not _let_171) (not _let_172) (not _let_173) (not _let_174) (not _let_175) (not _let_176) (not _let_177) (not _let_178) (not _let_181) (not _let_182) (not _let_183) (not _let_185) (not _let_187) (not _let_188)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_2 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_214)) _let_213 :args (_let_188 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_186 _let_2 _let_106 QUANTIFIERS_INST_CBQI_PROP)) :args _let_189)) _let_190 :args (_let_187 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (_let_2 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_217)) :args _let_198)) _let_199 :args (_let_185 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_4 _let_4 _let_142 QUANTIFIERS_INST_CBQI_PROP)) :args _let_189)) _let_190 :args (_let_183 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.a _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_182 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING _let_217)) :args _let_198)) _let_199 :args (_let_181 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_49 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_178 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_71 _let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_177 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_42 _let_146 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_176 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (tptp.b _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_175 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_92 _let_93 _let_93 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_174 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_80 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_173 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_116 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_172 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_49 _let_22 _let_22 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_171 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_77 _let_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_170 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_14 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_169 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_23 _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189))) _let_190 :args (_let_168 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_49 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_167 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_113 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_166 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_108 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_164 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_39 _let_83 _let_83 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_162 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_22 _let_77 _let_77 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_161 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_30 _let_73 _let_73 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_160 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_94 _let_39 _let_92 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_159 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_93 _let_4 _let_22 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_158 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_4 tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_157 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_2 _let_67 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_156 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.b _let_70 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_154 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.a _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_153 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_77 _let_3 _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_189)) _let_190 :args (_let_152 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_23 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_214)) _let_213 :args (_let_150 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (_let_23 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_198)) _let_199 :args (_let_149 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.b tptp.b _let_70 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_198)) _let_199 :args (_let_145 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_217)) :args _let_198)) _let_199 :args (_let_141 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_15 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_138 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_42 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_137 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_43 _let_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_136 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_59 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_134 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_22 _let_77 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_133 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_22 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_132 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_39 _let_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_130 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_39 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_128 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_4 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_126 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_74 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_124 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_14 _let_38 _let_38 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_123 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_38 _let_40 _let_40 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_122 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_121 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_4 _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189))) _let_190 :args (_let_118 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 tptp.b _let_49 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_115 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_70 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_112 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 _let_49 _let_49 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_110 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_4 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_107 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_44 _let_64 _let_63 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_105 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_49 _let_22 _let_77 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_104 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 _let_22 _let_77 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_101 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_3 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args (_let_215))) _let_216 :args (_let_100 false _let_215)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_4 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_214)) _let_213 :args (_let_99 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_48 _let_4 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_189)) _let_190 :args (_let_98 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (_let_4 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_198)) _let_199 :args (_let_96 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (_let_3 tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_198)) _let_199 :args (_let_91 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_49 _let_15 _let_15 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_88 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_18 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_86 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_4 _let_4 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_85 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_23 _let_24 _let_24 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_82 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_22 _let_23 _let_23 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_81 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_79 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 tptp.b _let_18 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_76 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_15 _let_15 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_72 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_4 _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189)) _let_190 :args (_let_69 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_68 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_23 _let_4 _let_23 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_66 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_24 _let_4 _let_22 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_62 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_14 _let_39 _let_38 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_61 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_43 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_57 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_39 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_56 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_3 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_54 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_16 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_52 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_15 _let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_211)) :args _let_189))) _let_190 :args (_let_47 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 _let_4 _let_23 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_45 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (tptp.b _let_4 _let_23 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_189)) _let_190 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_4 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_37 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_4 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_35 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_4 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_33 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_31 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_209)) :args _let_208)) _let_207 :args (_let_29 false _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.b _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_205)) _let_204 :args (_let_27 false _let_203)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.b tptp.b _let_3 QUANTIFIERS_INST_E_MATCHING _let_202)) :args _let_198)) _let_199 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_196)) _let_195 :args (_let_21 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_196)) _let_195 :args (_let_19 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_3 tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_193)) :args _let_189)) _let_190 :args (_let_17 false _let_12)) (ASSUME :args (_let_6)) :args (false false _let_188 false _let_187 false _let_185 false _let_183 false _let_182 false _let_181 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_167 false _let_166 false _let_164 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_154 false _let_153 false _let_152 false _let_150 false _let_149 false _let_145 false _let_141 false _let_138 false _let_137 false _let_136 false _let_134 false _let_133 false _let_132 false _let_130 false _let_128 false _let_126 false _let_124 false _let_123 false _let_122 false _let_121 false _let_118 false _let_115 false _let_112 false _let_110 false _let_107 false _let_105 false _let_104 false _let_101 false _let_100 false _let_99 false _let_98 false _let_96 false _let_91 false _let_88 false _let_86 false _let_85 false _let_82 false _let_81 false _let_79 false _let_76 false _let_72 false _let_69 false _let_68 false _let_66 false _let_62 false _let_61 false _let_57 false _let_56 false _let_54 false _let_52 false _let_51 false _let_47 false _let_45 false _let_41 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_26 false _let_21 false _let_19 false _let_17 true _let_5)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.41/26.59 )
% 26.41/26.59 % SZS output end Proof for BOO025-1
% 26.41/26.60 % cvc5---1.0.5 exiting
% 26.41/26.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------