TSTP Solution File: REL002-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : REL002-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 13:36:33 EDT 2023
% Result : Unsatisfiable 14.31s 14.51s
% Output : Proof 14.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL002-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.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 : Fri Aug 25 20:06:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DmFjtrrIA6/cvc5---1.0.5_24454.p...
% 0.21/0.51 ------- get file name : TPTP file name is REL002-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24454.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.84/11.02 --- Run --no-e-matching --full-saturate-quant at 5...
% 14.31/14.51 % SZS status Unsatisfiable for REL002-1
% 14.31/14.51 % SZS output start Proof for REL002-1
% 14.34/14.52 (
% 14.34/14.52 (let ((_let_1 (tptp.join tptp.sk1 tptp.top))) (let ((_let_2 (not (= _let_1 tptp.top)))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.top (tptp.join A (tptp.complement A)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement B))) (= (tptp.join (tptp.composition (tptp.converse A) (tptp.complement (tptp.composition A B))) _let_1) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.composition A B)) (tptp.composition (tptp.converse B) (tptp.converse A)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.join A B)) (tptp.join (tptp.converse A) (tptp.converse B)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.converse (tptp.converse A)) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition (tptp.join A B) C) (tptp.join (tptp.composition A C) (tptp.composition B C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.composition A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement A))) (= A (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement B))) (tptp.complement (tptp.join _let_1 B)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join A (tptp.join B C)) (tptp.join (tptp.join A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join A B) (tptp.join B A))))) (let ((_let_13 (tptp.composition tptp.one tptp.sk1))) (let ((_let_14 (tptp.complement tptp.sk1))) (let ((_let_15 (tptp.join _let_13 _let_13))) (let ((_let_16 (= (tptp.join _let_14 _let_15) (tptp.join (tptp.join _let_14 _let_13) _let_13)))) (let ((_let_17 (_let_11))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.complement tptp.top))) (let ((_let_20 (tptp.join _let_19 _let_19))) (let ((_let_21 (tptp.join tptp.one tptp.one))) (let ((_let_22 (tptp.complement _let_21))) (let ((_let_23 (tptp.complement _let_20))) (let ((_let_24 (= _let_21 (tptp.join (tptp.complement (tptp.join _let_22 _let_23)) (tptp.complement (tptp.join _let_22 _let_20)))))) (let ((_let_25 (tptp.complement tptp.one))) (let ((_let_26 (tptp.join _let_25 _let_25))) (let ((_let_27 (tptp.complement _let_26))) (let ((_let_28 (= _let_26 (tptp.join (tptp.complement (tptp.join _let_27 _let_25)) (tptp.complement (tptp.join _let_27 tptp.one)))))) (let ((_let_29 (tptp.converse tptp.top))) (let ((_let_30 (= _let_22 (tptp.join (tptp.composition _let_29 (tptp.complement (tptp.composition tptp.top _let_21))) _let_22)))) (let ((_let_31 (tptp.converse _let_21))) (let ((_let_32 (tptp.converse _let_29))) (let ((_let_33 (= (tptp.converse (tptp.composition _let_31 _let_29)) (tptp.composition _let_32 (tptp.converse _let_31))))) (let ((_let_34 (tptp.composition tptp.one _let_29))) (let ((_let_35 (= (tptp.composition _let_21 _let_29) (tptp.join _let_34 _let_34)))) (let ((_let_36 (tptp.complement _let_23))) (let ((_let_37 (tptp.join _let_36 _let_19))) (let ((_let_38 (tptp.join _let_19 tptp.one))) (let ((_let_39 (= (tptp.join _let_36 _let_38) (tptp.join _let_37 tptp.one)))) (let ((_let_40 (tptp.join _let_19 _let_25))) (let ((_let_41 (= (tptp.join _let_36 _let_40) (tptp.join _let_37 _let_25)))) (let ((_let_42 (= _let_23 (tptp.join (tptp.complement (tptp.join _let_36 _let_25)) (tptp.complement (tptp.join _let_36 tptp.one)))))) (let ((_let_43 (tptp.converse _let_23))) (let ((_let_44 (tptp.converse _let_43))) (let ((_let_45 (tptp.converse tptp.one))) (let ((_let_46 (tptp.converse _let_45))) (let ((_let_47 (= (tptp.converse (tptp.composition _let_43 _let_45)) (tptp.composition _let_46 _let_44)))) (let ((_let_48 (= _let_43 (tptp.composition _let_43 tptp.one)))) (let ((_let_49 (tptp.join _let_25 tptp.one))) (let ((_let_50 (tptp.complement _let_49))) (let ((_let_51 (tptp.complement _let_50))) (let ((_let_52 (tptp.join _let_25 _let_50))) (let ((_let_53 (tptp.join _let_50 _let_51))) (let ((_let_54 (= (tptp.join _let_25 _let_53) (tptp.join _let_52 _let_51)))) (let ((_let_55 (tptp.composition tptp.top tptp.one))) (let ((_let_56 (tptp.complement _let_55))) (let ((_let_57 (tptp.composition _let_29 _let_56))) (let ((_let_58 (tptp.join _let_29 _let_45))) (let ((_let_59 (= (tptp.composition _let_58 _let_56) (tptp.join _let_57 (tptp.composition _let_45 _let_56))))) (let ((_let_60 (tptp.join _let_27 _let_50))) (let ((_let_61 (= _let_26 (tptp.join (tptp.complement _let_60) (tptp.complement (tptp.join _let_27 _let_49)))))) (let ((_let_62 (tptp.composition tptp.top tptp.top))) (let ((_let_63 (tptp.complement _let_62))) (let ((_let_64 (tptp.join _let_62 _let_62))) (let ((_let_65 (tptp.join _let_62 _let_63))) (let ((_let_66 (= (tptp.join _let_62 _let_65) (tptp.join _let_64 _let_63)))) (let ((_let_67 (tptp.join tptp.one _let_26))) (let ((_let_68 (tptp.join _let_26 _let_27))) (let ((_let_69 (= (tptp.join tptp.one _let_68) (tptp.join _let_67 _let_27)))) (let ((_let_70 (= tptp.top _let_65))) (let ((_let_71 (= (tptp.join tptp.top _let_27) (tptp.join _let_27 tptp.top)))) (let ((_let_72 (= (tptp.join _let_27 _let_38) (tptp.join (tptp.join _let_27 _let_19) tptp.one)))) (let ((_let_73 (= _let_50 (tptp.join (tptp.complement (tptp.join _let_51 _let_51)) (tptp.complement (tptp.join _let_51 _let_50)))))) (let ((_let_74 (tptp.join _let_25 _let_51))) (let ((_let_75 (= _let_74 (tptp.join _let_51 _let_25)))) (let ((_let_76 (tptp.join tptp.one _let_25))) (let ((_let_77 (= (tptp.join tptp.one (tptp.join _let_25 tptp.top)) (tptp.join _let_76 tptp.top)))) (let ((_let_78 (= (tptp.join _let_26 _let_60) (tptp.join _let_68 _let_50)))) (let ((_let_79 (tptp.join _let_26 tptp.one))) (let ((_let_80 (= _let_79 (tptp.join _let_25 _let_49)))) (let ((_let_81 (= _let_67 _let_79))) (let ((_let_82 (tptp.composition tptp.one tptp.top))) (let ((_let_83 (tptp.composition _let_45 (tptp.complement _let_82)))) (let ((_let_84 (tptp.join _let_83 _let_19))) (let ((_let_85 (= (tptp.join _let_27 _let_84) (tptp.join (tptp.join _let_27 _let_83) _let_19)))) (let ((_let_86 (tptp.converse _let_50))) (let ((_let_87 (= _let_86 (tptp.composition _let_86 tptp.one)))) (let ((_let_88 (tptp.composition tptp.one _let_50))) (let ((_let_89 (= _let_51 (tptp.join (tptp.composition _let_45 (tptp.complement _let_88)) _let_51)))) (let ((_let_90 (= (tptp.converse _let_88) (tptp.composition _let_86 _let_45)))) (let ((_let_91 (= tptp.one (tptp.join (tptp.complement _let_74) (tptp.complement _let_52))))) (let ((_let_92 (tptp.join tptp.top tptp.top))) (let ((_let_93 (tptp.complement (tptp.join _let_19 _let_92)))) (let ((_let_94 (tptp.complement _let_92))) (let ((_let_95 (tptp.complement (tptp.join _let_19 _let_94)))) (let ((_let_96 (tptp.join _let_95 _let_93))) (let ((_let_97 (= (tptp.join _let_82 _let_96) (tptp.join (tptp.join _let_82 _let_95) _let_93)))) (let ((_let_98 (= _let_20 (tptp.join (tptp.complement (tptp.join _let_23 _let_50)) (tptp.complement (tptp.join _let_23 _let_49)))))) (let ((_let_99 (= _let_94 (tptp.join (tptp.composition _let_29 (tptp.complement (tptp.composition tptp.top _let_92))) _let_94)))) (let ((_let_100 (tptp.converse _let_92))) (let ((_let_101 (= (tptp.converse (tptp.join tptp.top _let_92)) (tptp.join _let_29 _let_100)))) (let ((_let_102 (= tptp.top _let_96))) (let ((_let_103 (tptp.composition tptp.one _let_92))) (let ((_let_104 (tptp.converse _let_103))) (let ((_let_105 (= _let_103 (tptp.converse _let_104)))) (let ((_let_106 (= _let_100 (tptp.composition _let_100 tptp.one)))) (let ((_let_107 (= _let_94 (tptp.join (tptp.composition _let_45 (tptp.complement _let_103)) _let_94)))) (let ((_let_108 (= (tptp.converse (tptp.join tptp.one _let_92)) (tptp.join _let_45 _let_100)))) (let ((_let_109 (= _let_104 (tptp.composition _let_100 _let_45)))) (let ((_let_110 (= _let_83 (tptp.converse (tptp.converse _let_83))))) (let ((_let_111 (tptp.join _let_19 tptp.top))) (let ((_let_112 (= (tptp.join _let_23 _let_111) (tptp.join (tptp.join _let_23 _let_19) tptp.top)))) (let ((_let_113 (= (tptp.join tptp.top _let_23) (tptp.join _let_23 tptp.top)))) (let ((_let_114 (tptp.join tptp.top _let_19))) (let ((_let_115 (= (tptp.join _let_82 _let_114) (tptp.join (tptp.join _let_82 tptp.top) _let_19)))) (let ((_let_116 (= (tptp.join _let_92 _let_50) (tptp.join _let_50 _let_92)))) (let ((_let_117 (tptp.converse tptp.sk1))) (let ((_let_118 (tptp.converse _let_117))) (let ((_let_119 (= (tptp.converse (tptp.composition _let_117 _let_45)) (tptp.composition _let_46 _let_118)))) (let ((_let_120 (= (tptp.converse (tptp.composition _let_29 _let_45)) (tptp.composition _let_46 _let_32)))) (let ((_let_121 (= _let_117 (tptp.composition _let_117 tptp.one)))) (let ((_let_122 (= _let_29 (tptp.composition _let_29 tptp.one)))) (let ((_let_123 (tptp.composition _let_45 tptp.one))) (let ((_let_124 (= (tptp.converse _let_123) (tptp.composition _let_45 _let_46)))) (let ((_let_125 (= _let_45 _let_123))) (let ((_let_126 (tptp.join tptp.sk1 _let_14))) (let ((_let_127 (= _let_126 (tptp.join _let_14 tptp.sk1)))) (let ((_let_128 (= tptp.top _let_68))) (let ((_let_129 (= (tptp.composition _let_21 tptp.sk1) _let_15))) (let ((_let_130 (= _let_23 _let_44))) (let ((_let_131 (= (tptp.composition _let_92 tptp.top) _let_64))) (let ((_let_132 (= tptp.top (tptp.join _let_92 _let_94)))) (let ((_let_133 (= _let_92 (tptp.converse _let_100)))) (let ((_let_134 (tptp.join tptp.top tptp.one))) (let ((_let_135 (= (tptp.composition _let_134 tptp.top) (tptp.join _let_62 _let_82)))) (let ((_let_136 (= _let_114 _let_111))) (let ((_let_137 (= tptp.top _let_53))) (let ((_let_138 (= _let_50 (tptp.converse _let_86)))) (let ((_let_139 (= tptp.top (tptp.join _let_23 (tptp.complement _let_111))))) (let ((_let_140 (= (tptp.join tptp.one _let_50) (tptp.join _let_50 tptp.one)))) (let ((_let_141 (= (tptp.join _let_25 _let_19) _let_40))) (let ((_let_142 (= tptp.top _let_126))) (let ((_let_143 (= _let_25 (tptp.join _let_57 _let_25)))) (let ((_let_144 (= (tptp.converse _let_55) (tptp.composition _let_45 _let_29)))) (let ((_let_145 (= (tptp.converse _let_134) _let_58))) (let ((_let_146 (= tptp.sk1 _let_118))) (let ((_let_147 (= tptp.top (tptp.join (tptp.complement _let_40) (tptp.complement _let_38))))) (let ((_let_148 (= _let_1 (tptp.join tptp.top tptp.sk1)))) (let ((_let_149 (= tptp.top _let_114))) (let ((_let_150 (= _let_19 _let_84))) (let ((_let_151 (tptp.join tptp.one tptp.top))) (let ((_let_152 (= (tptp.converse _let_151) (tptp.join _let_45 _let_29)))) (let ((_let_153 (= tptp.top _let_32))) (let ((_let_154 (= tptp.top _let_55))) (let ((_let_155 (= _let_49 _let_76))) (let ((_let_156 (= tptp.top _let_76))) (let ((_let_157 (= _let_31 (tptp.join _let_45 _let_45)))) (let ((_let_158 (= tptp.one _let_46))) (let ((_let_159 (= tptp.one (tptp.composition tptp.one tptp.one)))) (let ((_let_160 (= tptp.one _let_60))) (let ((_let_161 (= _let_151 _let_134))) (let ((_let_162 (= tptp.top _let_1))) (let ((_let_163 (not _let_16))) (let ((_let_164 (_let_10))) (let ((_let_165 (ASSUME :args _let_164))) (let ((_let_166 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement B))) (= _let_1 (tptp.join (tptp.composition (tptp.converse A) (tptp.complement (tptp.composition A B))) _let_1)))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (_let_166))) (let ((_let_169 (_let_5))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 (_let_8))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (forall ((A $$unsorted)) (= A (tptp.composition A tptp.one))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_173))) (let ((_let_176 (_let_3))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 (_let_12))) (let ((_let_179 (ASSUME :args _let_178))) (let ((_let_180 (tptp.one _let_50 QUANTIFIERS_INST_ENUM))) (let ((_let_181 (tptp.top _let_92 QUANTIFIERS_INST_ENUM))) (let ((_let_182 (_let_6))) (let ((_let_183 (ASSUME :args _let_182))) (let ((_let_184 (forall ((A $$unsorted)) (= A (tptp.converse (tptp.converse A)))))) (let ((_let_185 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_186 (_let_184))) (let ((_let_187 (tptp.one _let_92 QUANTIFIERS_INST_ENUM))) (let ((_let_188 (_let_92 QUANTIFIERS_INST_ENUM))) (let ((_let_189 (_let_50 QUANTIFIERS_INST_ENUM))) (let ((_let_190 (tptp.sk1 QUANTIFIERS_INST_ENUM))) (let ((_let_191 (tptp.top tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_192 (tptp.top QUANTIFIERS_INST_ENUM))) (let ((_let_193 (tptp.one tptp.top QUANTIFIERS_INST_ENUM))) (let ((_let_194 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_195 (tptp.one tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_196 (SYMM (ASSUME :args (_let_2))))) (let ((_let_197 (not _let_162))) (let ((_let_198 (and _let_197 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_125 _let_124 _let_122 _let_121 _let_120 _let_119 _let_116 _let_115 _let_113 _let_112 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_102 _let_101 _let_99 _let_98 _let_97 _let_91 _let_90 _let_89 _let_87 _let_85 _let_81 _let_80 _let_78 _let_77 _let_75 _let_73 _let_72 _let_71 _let_70 _let_69 _let_66 _let_61 _let_59 _let_54 _let_48 _let_47 _let_42 _let_41 _let_39 _let_35 _let_33 _let_30 _let_28 _let_24))) (let ((_let_199 (ASSUME :args (_let_148)))) (let ((_let_200 (APPLY_UF tptp.join))) (let ((_let_201 (ASSUME :args (_let_146)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (APPLY_UF tptp.converse))) (let ((_let_204 (ASSUME :args (_let_121)))) (let ((_let_205 (APPLY_UF tptp.composition))) (let ((_let_206 (ASSUME :args (_let_158)))) (let ((_let_207 (ASSUME :args (_let_125)))) (let ((_let_208 (ASSUME :args (_let_124)))) (let ((_let_209 (REFL :args (_let_45)))) (let ((_let_210 (TRANS _let_207 (CONG _let_209 _let_206 :args _let_205) (SYMM _let_208) (CONG (SYMM _let_207) :args _let_203) (SYMM _let_206)))) (let ((_let_211 (CONG (TRANS (CONG (REFL :args (_let_117)) _let_210 :args _let_205) (SYMM _let_204)) :args _let_203))) (let ((_let_212 (ASSUME :args (_let_119)))) (let ((_let_213 (SYMM _let_212))) (let ((_let_214 (CONG _let_206 _let_201 :args _let_205))) (let ((_let_215 (TRANS _let_214 _let_213 _let_211 _let_202))) (let ((_let_216 (ASSUME :args (_let_142)))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (ASSUME :args (_let_127)))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (REFL :args (_let_14)))) (let ((_let_221 (ASSUME :args (_let_91)))) (let ((_let_222 (APPLY_UF tptp.complement))) (let ((_let_223 (ASSUME :args (_let_155)))) (let ((_let_224 (SYMM _let_223))) (let ((_let_225 (ASSUME :args (_let_156)))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (SYMM _let_226))) (let ((_let_228 (TRANS _let_227 _let_224))) (let ((_let_229 (CONG _let_228 :args _let_222))) (let ((_let_230 (REFL :args (_let_25)))) (let ((_let_231 (CONG _let_230 _let_229 :args _let_200))) (let ((_let_232 (ASSUME :args (_let_141)))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (SYMM _let_229))) (let ((_let_235 (ASSUME :args (_let_132)))) (let ((_let_236 (SYMM _let_235))) (let ((_let_237 (ASSUME :args (_let_149)))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (ASSUME :args (_let_153)))) (let ((_let_240 (SYMM _let_239))) (let ((_let_241 (ASSUME :args (_let_122)))) (let ((_let_242 (REFL :args (_let_29)))) (let ((_let_243 (CONG _let_242 _let_210 :args _let_205))) (let ((_let_244 (TRANS _let_243 (SYMM _let_241)))) (let ((_let_245 (CONG _let_244 :args _let_203))) (let ((_let_246 (ASSUME :args (_let_120)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (ASSUME :args (_let_159)))) (let ((_let_249 (CONG (TRANS (SYMM _let_248) _let_206) _let_239 :args _let_205))) (let ((_let_250 (REFL :args (tptp.top)))) (let ((_let_251 (CONG _let_248 _let_250 :args _let_205))) (let ((_let_252 (TRANS _let_251 _let_249 _let_247 _let_245 _let_240))) (let ((_let_253 (ASSUME :args (_let_115)))) (let ((_let_254 (SYMM _let_252))) (let ((_let_255 (ASSUME :args (_let_116)))) (let ((_let_256 (ASSUME :args (_let_139)))) (let ((_let_257 (ASSUME :args (_let_136)))) (let ((_let_258 (SYMM (SYMM _let_257)))) (let ((_let_259 (CONG (TRANS _let_223 _let_226 _let_237 _let_258) :args _let_222))) (let ((_let_260 (REFL :args (_let_23)))) (let ((_let_261 (CONG (TRANS (CONG _let_260 (TRANS _let_229 _let_259) :args _let_200) (SYMM _let_256)) _let_250 :args _let_200))) (let ((_let_262 (ASSUME :args (_let_112)))) (let ((_let_263 (SYMM _let_262))) (let ((_let_264 (CONG _let_260 (TRANS _let_237 _let_258) :args _let_200))) (let ((_let_265 (ASSUME :args (_let_113)))) (let ((_let_266 (ASSUME :args (_let_98)))) (let ((_let_267 (SYMM _let_259))) (let ((_let_268 (CONG (TRANS (CONG _let_252 (CONG (TRANS (CONG (TRANS _let_229 (CONG (TRANS _let_223 _let_226 _let_256 (CONG _let_260 _let_267 :args _let_200)) :args _let_222)) (CONG (TRANS (SYMM _let_261) _let_263 (SYMM _let_264) (CONG _let_260 _let_228 :args _let_200)) :args _let_222) :args _let_200) (SYMM _let_266)) :args _let_222) :args _let_200) (SYMM (SYMM _let_265)) _let_264 (SYMM _let_263) _let_261) (CONG (TRANS (CONG _let_229 (REFL :args (_let_92)) :args _let_200) (SYMM _let_255) (CONG (CONG _let_254 _let_250 :args _let_200) _let_234 :args _let_200) (SYMM _let_253) (CONG _let_252 _let_238 :args _let_200)) :args _let_222) :args _let_200))) (let ((_let_269 (ASSUME :args (_let_97)))) (let ((_let_270 (SYMM _let_269))) (let ((_let_271 (SYMM _let_270))) (let ((_let_272 (ASSUME :args (_let_102)))) (let ((_let_273 (CONG _let_254 (SYMM (SYMM _let_272)) :args _let_200))) (let ((_let_274 (CONG (TRANS _let_273 _let_271 _let_268 _let_236 _let_227 _let_224) :args _let_222))) (let ((_let_275 (ASSUME :args (_let_99)))) (let ((_let_276 (SYMM _let_275))) (let ((_let_277 (SYMM _let_274))) (let ((_let_278 (ASSUME :args (_let_138)))) (let ((_let_279 (ASSUME :args (_let_87)))) (let ((_let_280 (ASSUME :args (_let_90)))) (let ((_let_281 (CONG (TRANS _let_251 _let_249 _let_247 _let_245 _let_240 _let_227 _let_224) :args _let_222))) (let ((_let_282 (CONG _let_210 _let_281 :args _let_205))) (let ((_let_283 (CONG (TRANS (CONG _let_282 :args _let_203) (SYMM (SYMM _let_280)) (CONG (REFL :args (_let_86)) _let_210 :args _let_205) (SYMM _let_279)) :args _let_203))) (let ((_let_284 (ASSUME :args (_let_110)))) (let ((_let_285 (SYMM _let_284))) (let ((_let_286 (ASSUME :args (_let_154)))) (let ((_let_287 (SYMM _let_286))) (let ((_let_288 (CONG (TRANS _let_287 _let_227 _let_224) :args _let_222))) (let ((_let_289 (SYMM _let_273))) (let ((_let_290 (SYMM _let_268))) (let ((_let_291 (TRANS _let_235 _let_290 _let_270 _let_289))) (let ((_let_292 (CONG _let_250 _let_291 :args _let_205))) (let ((_let_293 (CONG _let_226 _let_250 :args _let_200))) (let ((_let_294 (ASSUME :args (_let_77)))) (let ((_let_295 (SYMM _let_294))) (let ((_let_296 (SYMM _let_295))) (let ((_let_297 (SYMM _let_228))) (let ((_let_298 (CONG _let_230 _let_297 :args _let_200))) (let ((_let_299 (ASSUME :args (_let_80)))) (let ((_let_300 (SYMM _let_299))) (let ((_let_301 (SYMM _let_300))) (let ((_let_302 (ASSUME :args (_let_160)))) (let ((_let_303 (SYMM _let_302))) (let ((_let_304 (CONG (REFL :args (_let_26)) _let_303 :args _let_200))) (let ((_let_305 (ASSUME :args (_let_78)))) (let ((_let_306 (SYMM _let_305))) (let ((_let_307 (ASSUME :args (_let_128)))) (let ((_let_308 (SYMM _let_307))) (let ((_let_309 (CONG (SYMM _let_308) _let_229 :args _let_200))) (let ((_let_310 (REFL :args (tptp.one)))) (let ((_let_311 (CONG _let_310 (TRANS _let_237 _let_309 _let_306 _let_304 _let_301 _let_298) :args _let_200))) (let ((_let_312 (ASSUME :args (_let_161)))) (let ((_let_313 (SYMM _let_312))) (let ((_let_314 (ASSUME :args (_let_135)))) (let ((_let_315 (ASSUME :args (_let_70)))) (let ((_let_316 (ASSUME :args (_let_66)))) (let ((_let_317 (ASSUME :args (_let_131)))) (let ((_let_318 (CONG _let_242 (TRANS _let_288 (CONG (TRANS _let_223 _let_226 _let_315 (CONG (TRANS (CONG _let_291 _let_250 :args _let_205) (SYMM (SYMM _let_317))) (REFL :args (_let_63)) :args _let_200) (SYMM _let_316) (CONG (REFL :args (_let_62)) (TRANS (SYMM _let_315) _let_239 (SYMM _let_245) _let_246 (SYMM _let_249) (SYMM _let_251)) :args _let_200) (SYMM _let_314) (CONG _let_313 _let_250 :args _let_205) (CONG (TRANS _let_312 (TRANS _let_313 _let_311 _let_296 _let_293 _let_273 _let_271 _let_268 _let_236)) _let_250 :args _let_205) _let_292) :args _let_222)) :args _let_205))) (let ((_let_319 (CONG _let_318 (TRANS (CONG _let_209 (TRANS _let_288 (SYMM _let_281)) :args _let_205) (SYMM _let_285) _let_283 (SYMM _let_278) _let_277) :args _let_200))) (let ((_let_320 (ASSUME :args (_let_59)))) (let ((_let_321 (SYMM (SYMM _let_320)))) (let ((_let_322 (ASSUME :args (_let_145)))) (let ((_let_323 (ASSUME :args (_let_152)))) (let ((_let_324 (SYMM _let_291))) (let ((_let_325 (CONG _let_324 :args _let_203))) (let ((_let_326 (ASSUME :args (_let_108)))) (let ((_let_327 (SYMM _let_325))) (let ((_let_328 (CONG (TRANS _let_327 (TRANS _let_325 (CONG (TRANS _let_235 _let_290 _let_270 _let_289 (SYMM _let_293) _let_295 (SYMM _let_311) (CONG _let_310 _let_291 :args _let_200)) :args _let_203) (SYMM (SYMM _let_326)) (CONG _let_209 _let_325 :args _let_200) (SYMM _let_323) (CONG _let_312 :args _let_203) (SYMM (SYMM _let_322)))) (REFL :args (_let_56)) :args _let_205))) (let ((_let_329 (CONG _let_242 (CONG _let_292 :args _let_222) :args _let_205))) (let ((_let_330 (CONG (TRANS (TRANS _let_318 (SYMM _let_329)) (TRANS _let_329 (SYMM _let_318) _let_328 _let_321 _let_319 _let_276 _let_274 _let_234)) _let_230 :args _let_200))) (let ((_let_331 (ASSUME :args (_let_143)))) (let ((_let_332 (SYMM _let_331))) (let ((_let_333 (SYMM _let_332))) (let ((_let_334 (CONG (TRANS _let_333 _let_330 _let_233) :args _let_222))) (let ((_let_335 (SYMM _let_330))) (let ((_let_336 (ASSUME :args (_let_107)))) (let ((_let_337 (SYMM _let_336))) (let ((_let_338 (ASSUME :args (_let_105)))) (let ((_let_339 (ASSUME :args (_let_109)))) (let ((_let_340 (SYMM _let_210))) (let ((_let_341 (ASSUME :args (_let_106)))) (let ((_let_342 (ASSUME :args (_let_133)))) (let ((_let_343 (SYMM _let_342))) (let ((_let_344 (SYMM _let_283))) (let ((_let_345 (CONG (TRANS (TRANS _let_229 _let_278 _let_344 _let_285) (CONG _let_209 (TRANS _let_281 _let_277 (CONG (TRANS (SYMM _let_343) (CONG (TRANS (SYMM (SYMM _let_341)) (CONG (REFL :args (_let_100)) _let_340 :args _let_205) (SYMM _let_339)) :args _let_203) (SYMM _let_338)) :args _let_222)) :args _let_205)) (TRANS _let_229 _let_277) :args _let_200))) (let ((_let_346 (ASSUME :args (_let_69)))) (let ((_let_347 (REFL :args (_let_27)))) (let ((_let_348 (ASSUME :args (_let_81)))) (let ((_let_349 (ASSUME :args (_let_71)))) (let ((_let_350 (CONG (CONG _let_303 :args _let_222) (TRANS (CONG (TRANS (CONG _let_347 _let_297 :args _let_200) (SYMM _let_349) (CONG (TRANS _let_237 _let_309 _let_306 _let_304 (SYMM _let_348)) _let_347 :args _let_200) (SYMM _let_346) (CONG _let_310 _let_308 :args _let_200) _let_311 _let_296 _let_293 _let_273 _let_271 _let_268 _let_236 _let_227 _let_224) :args _let_222) _let_234) :args _let_200))) (let ((_let_351 (ASSUME :args (_let_61)))) (let ((_let_352 (SYMM _let_351))) (let ((_let_353 (ASSUME :args (_let_28)))) (let ((_let_354 (ASSUME :args (_let_150)))) (let ((_let_355 (CONG _let_347 (TRANS (SYMM _let_354) _let_229) :args _let_200))) (let ((_let_356 (ASSUME :args (_let_85)))) (let ((_let_357 (SYMM _let_356))) (let ((_let_358 (TRANS _let_278 _let_344 _let_285))) (let ((_let_359 (CONG (TRANS _let_302 (CONG _let_347 _let_358 :args _let_200)) _let_234 :args _let_200))) (let ((_let_360 (ASSUME :args (_let_140)))) (let ((_let_361 (SYMM _let_360))) (let ((_let_362 (CONG _let_229 _let_310 :args _let_200))) (let ((_let_363 (TRANS _let_362 _let_361 _let_359 _let_357 _let_355 _let_303))) (let ((_let_364 (ASSUME :args (_let_72)))) (let ((_let_365 (CONG _let_363 :args _let_222))) (let ((_let_366 (CONG _let_233 :args _let_222))) (let ((_let_367 (ASSUME :args (_let_147)))) (let ((_let_368 (SYMM _let_367))) (let ((_let_369 (ASSUME :args (_let_101)))) (let ((_let_370 (CONG _let_287 :args _let_203))) (let ((_let_371 (ASSUME :args (_let_144)))) (let ((_let_372 (SYMM _let_371))) (let ((_let_373 (CONG _let_340 _let_242 :args _let_205))) (let ((_let_374 (ASSUME :args (_let_35)))) (let ((_let_375 (CONG _let_210 _let_210 :args _let_200))) (let ((_let_376 (ASSUME :args (_let_157)))) (let ((_let_377 (SYMM _let_376))) (let ((_let_378 (SYMM _let_377))) (let ((_let_379 (TRANS _let_378 _let_375))) (let ((_let_380 (ASSUME :args (_let_33)))) (let ((_let_381 (SYMM _let_379))) (let ((_let_382 (ASSUME :args (_let_30)))) (let ((_let_383 (TRANS (SYMM (SYMM _let_382)) (CONG (TRANS (CONG _let_242 (TRANS (CONG (TRANS (CONG _let_239 (TRANS (SYMM _let_375) _let_377 (CONG _let_381 :args _let_203)) :args _let_205) (SYMM _let_380) (CONG (TRANS (CONG _let_379 _let_242 :args _let_205) (SYMM (SYMM _let_374)) (CONG (TRANS (TRANS _let_373 _let_372 _let_370 _let_241 (SYMM _let_243)) _let_244) (TRANS _let_373 _let_372 _let_370 _let_327) :args _let_200) (SYMM _let_369) (CONG (TRANS (CONG _let_250 _let_324 :args _let_200) _let_273 _let_271 _let_268 _let_236) :args _let_203) _let_327) :args _let_203) _let_343 _let_273 _let_271 _let_268 _let_236 _let_227 _let_224) :args _let_222) (SYMM _let_288)) :args _let_205) _let_328 _let_321 _let_319 _let_276 _let_274 _let_234) (REFL :args (_let_22)) :args _let_200) (CONG (TRANS _let_229 (CONG (TRANS _let_223 _let_226 (SYMM _let_368) (CONG (TRANS _let_366 (CONG (TRANS (SYMM _let_350) _let_352) :args _let_222)) _let_365 :args _let_200)) :args _let_222)) (CONG (TRANS (CONG (TRANS _let_302 (CONG _let_347 _let_234 :args _let_200)) _let_310 :args _let_200) (SYMM _let_364) (CONG _let_347 _let_363 :args _let_200)) :args _let_222) :args _let_200) (SYMM _let_353) (SYMM _let_352) _let_350 _let_232 _let_335 _let_332))) (let ((_let_384 (ASSUME :args (_let_75)))) (let ((_let_385 (CONG (SYMM _let_384) :args _let_222))) (let ((_let_386 (REFL :args (_let_51)))) (let ((_let_387 (ASSUME :args (_let_54)))) (let ((_let_388 (ASSUME :args (_let_137)))) (let ((_let_389 (ASSUME :args (_let_73)))) (let ((_let_390 (CONG (TRANS _let_345 _let_337 _let_274) :args _let_222))) (let ((_let_391 (ASSUME :args (_let_130)))) (let ((_let_392 (ASSUME :args (_let_48)))) (let ((_let_393 (ASSUME :args (_let_47)))) (let ((_let_394 (ASSUME :args (_let_89)))) (let ((_let_395 (TRANS (CONG (CONG (TRANS _let_390 (SYMM (SYMM _let_394)) (CONG (TRANS (TRANS (CONG (TRANS _let_210 _let_206) (TRANS (CONG (SYMM _let_282) :args _let_222) (CONG (SYMM _let_358) :args _let_222) (SYMM _let_390) _let_391) :args _let_205) (SYMM _let_393) (CONG (TRANS (CONG (REFL :args (_let_43)) _let_210 :args _let_205) (SYMM _let_392)) :args _let_203) (SYMM _let_391)) _let_390) _let_386 :args _let_200)) :args _let_222) (TRANS _let_229 (CONG (TRANS _let_223 _let_226 _let_256 (CONG _let_390 _let_267 :args _let_200)) :args _let_222)) :args _let_200) (SYMM _let_389) _let_234))) (let ((_let_396 (ASSUME :args (_let_39)))) (let ((_let_397 (REFL :args (_let_36)))) (let ((_let_398 (ASSUME :args (_let_41)))) (let ((_let_399 (ASSUME :args (_let_42)))) (let ((_let_400 (ASSUME :args (_let_24)))) (let ((_let_401 (ASSUME :args (_let_129)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_14 _let_13 _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_198)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_216 _let_218 _let_201 _let_204 _let_206 _let_207 _let_208 _let_212 _let_221 _let_384 _let_331 _let_286 _let_225 _let_223 _let_315 _let_235 _let_256 _let_257 _let_237 _let_262 _let_265 _let_239 _let_241 _let_246 _let_248 _let_266 _let_253 _let_255 _let_269 _let_272 _let_317 _let_316 _let_314 _let_312 _let_307 _let_305 _let_302 _let_299 _let_294 _let_326 _let_323 _let_322 _let_320 _let_284 _let_280 _let_279 _let_278 _let_275 _let_232 _let_387 _let_388 _let_346 _let_348 _let_349 _let_351 _let_353 _let_354 _let_356 _let_360 _let_367 _let_364 _let_342 _let_369 _let_371 _let_374 _let_376 _let_380 _let_382 _let_389 _let_336 _let_338 _let_339 _let_341 _let_391 _let_392 _let_393 _let_394 _let_398 _let_396 _let_399 _let_400 _let_401 _let_196 _let_199) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_220 (TRANS (SYMM _let_401) (CONG (TRANS _let_381 (TRANS _let_378 _let_375 (SYMM (SYMM _let_400)) (CONG (TRANS (TRANS (CONG (TRANS (CONG _let_383 (TRANS (SYMM (SYMM _let_399)) (CONG (TRANS (CONG (TRANS (CONG _let_397 (TRANS _let_333 _let_330) :args _let_200) (SYMM (SYMM _let_398)) (CONG _let_395 _let_230 :args _let_200) _let_335 _let_332) :args _let_222) _let_334 (SYMM _let_366)) (TRANS (CONG (TRANS (CONG _let_397 (SYMM _let_363) :args _let_200) (SYMM (SYMM _let_396)) (CONG _let_395 _let_310 :args _let_200) _let_362 _let_361 _let_359 _let_357 _let_355 _let_303) :args _let_222) (SYMM _let_365)) :args _let_200) _let_368) :args _let_200) (SYMM _let_298) _let_300 (SYMM _let_304) _let_305 (SYMM _let_309) _let_238 _let_227 _let_224) :args _let_222) _let_234) (TRANS _let_229 (CONG (TRANS _let_223 _let_226 _let_237 _let_309 _let_306 _let_304 _let_301 _let_298 (CONG _let_230 (SYMM (SYMM _let_388)) :args _let_200) (SYMM (SYMM _let_387)) (CONG (TRANS (SYMM _let_231) _let_232 _let_335 _let_332) _let_386 :args _let_200)) :args _let_222) (SYMM _let_385)) _let_385) (TRANS (CONG (TRANS (CONG _let_383 (TRANS _let_345 _let_337 _let_274 _let_234) :args _let_200) _let_232 _let_335 _let_332) :args _let_222) _let_334 (CONG _let_231 :args _let_222)) :args _let_200) (SYMM _let_221))) (REFL :args (tptp.sk1)) :args _let_205) _let_214 _let_213 _let_211 _let_202) :args _let_200) _let_219 _let_217) (TRANS (CONG (TRANS (CONG _let_220 _let_215 :args _let_200) _let_219 _let_217) _let_215 :args _let_200) (SYMM _let_199)) :args (=)) (FALSE_INTRO _let_196))) :args (_let_142 _let_127 _let_146 _let_121 _let_158 _let_125 _let_124 _let_119 _let_91 _let_75 _let_143 _let_154 _let_156 _let_155 _let_70 _let_132 _let_139 _let_136 _let_149 _let_112 _let_113 _let_153 _let_122 _let_120 _let_159 _let_98 _let_115 _let_116 _let_97 _let_102 _let_131 _let_66 _let_135 _let_161 _let_128 _let_78 _let_160 _let_80 _let_77 _let_108 _let_152 _let_145 _let_59 _let_110 _let_90 _let_87 _let_138 _let_99 _let_141 _let_54 _let_137 _let_69 _let_81 _let_71 _let_61 _let_28 _let_150 _let_85 _let_140 _let_147 _let_72 _let_133 _let_101 _let_144 _let_35 _let_157 _let_33 _let_30 _let_73 _let_107 _let_105 _let_109 _let_106 _let_130 _let_48 _let_47 _let_89 _let_41 _let_39 _let_42 _let_24 _let_129 _let_197 _let_148))) :args (_let_197 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_125 _let_124 _let_122 _let_121 _let_120 _let_119 _let_116 _let_115 _let_113 _let_112 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_102 _let_101 _let_99 _let_98 _let_97 _let_91 _let_90 _let_89 _let_87 _let_85 _let_81 _let_80 _let_78 _let_77 _let_75 _let_73 _let_72 _let_71 _let_70 _let_69 _let_66 _let_61 _let_59 _let_54 _let_48 _let_47 _let_42 _let_41 _let_39 _let_35 _let_33 _let_30 _let_28 _let_24))) :args (true _let_198)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_197) _let_162))) (REFL :args ((not _let_161))) (REFL :args ((not _let_160))) (REFL :args ((not _let_159))) (REFL :args ((not _let_158))) (REFL :args ((not _let_157))) (REFL :args ((not _let_156))) (REFL :args ((not _let_155))) (REFL :args ((not _let_154))) (REFL :args ((not _let_153))) (REFL :args ((not _let_152))) (REFL :args ((not _let_150))) (REFL :args ((not _let_149))) (REFL :args ((not _let_148))) (REFL :args ((not _let_147))) (REFL :args ((not _let_146))) (REFL :args ((not _let_145))) (REFL :args ((not _let_144))) (REFL :args ((not _let_143))) (REFL :args ((not _let_142))) (REFL :args ((not _let_141))) (REFL :args ((not _let_140))) (REFL :args ((not _let_139))) (REFL :args ((not _let_138))) (REFL :args ((not _let_137))) (REFL :args ((not _let_136))) (REFL :args ((not _let_135))) (REFL :args ((not _let_133))) (REFL :args ((not _let_132))) (REFL :args ((not _let_131))) (REFL :args ((not _let_130))) (REFL :args ((not _let_129))) (REFL :args ((not _let_128))) (REFL :args ((not _let_127))) (REFL :args ((not _let_125))) (REFL :args ((not _let_124))) (REFL :args ((not _let_122))) (REFL :args ((not _let_121))) (REFL :args ((not _let_120))) (REFL :args ((not _let_119))) (REFL :args ((not _let_116))) (REFL :args ((not _let_115))) (REFL :args ((not _let_113))) (REFL :args ((not _let_112))) (REFL :args ((not _let_110))) (REFL :args ((not _let_109))) (REFL :args ((not _let_108))) (REFL :args ((not _let_107))) (REFL :args ((not _let_106))) (REFL :args ((not _let_105))) (REFL :args ((not _let_102))) (REFL :args ((not _let_101))) (REFL :args ((not _let_99))) (REFL :args ((not _let_98))) (REFL :args ((not _let_97))) (REFL :args ((not _let_91))) (REFL :args ((not _let_90))) (REFL :args ((not _let_89))) (REFL :args ((not _let_87))) (REFL :args ((not _let_85))) (REFL :args ((not _let_81))) (REFL :args ((not _let_80))) (REFL :args ((not _let_78))) (REFL :args ((not _let_77))) (REFL :args ((not _let_75))) (REFL :args ((not _let_73))) (REFL :args ((not _let_72))) (REFL :args ((not _let_71))) (REFL :args ((not _let_70))) (REFL :args ((not _let_69))) (REFL :args ((not _let_66))) (REFL :args ((not _let_61))) (REFL :args ((not _let_59))) (REFL :args ((not _let_54))) (REFL :args ((not _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _let_42))) (REFL :args ((not _let_41))) (REFL :args ((not _let_39))) (REFL :args ((not _let_35))) (REFL :args ((not _let_33))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_24))) (REFL :args (_let_163)) :args (or))) _let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args _let_193) :args _let_178)) _let_179 :args (_let_161 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_195) :args _let_164)) _let_165 :args (_let_160 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args _let_194) :args _let_175)) _let_174 :args (_let_159 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_194) :args _let_186)) _let_185 :args (_let_158 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_195) :args _let_182)) _let_183 :args (_let_157 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args _let_194) :args _let_176)) _let_177 :args (_let_156 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.one _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178))) _let_179 :args (_let_155 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args _let_192) :args _let_175)) _let_174 :args (_let_154 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_192) :args _let_186)) _let_185 :args (_let_153 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_193) :args _let_182)) _let_183 :args (_let_152 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_193) :args _let_168)) _let_167 :args (_let_150 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args _let_192) :args _let_176)) _let_177 :args (_let_149 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.top tptp.sk1 QUANTIFIERS_INST_ENUM)) :args _let_178))) _let_179 :args (_let_148 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_191) :args _let_164)) _let_165 :args (_let_147 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_190) :args _let_186)) _let_185 :args (_let_146 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_191) :args _let_182)) _let_183 :args (_let_145 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_191) :args _let_169)) _let_170 :args (_let_144 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_191) :args _let_168)) _let_167 :args (_let_143 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args _let_190) :args _let_176)) _let_177 :args (_let_142 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_25 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178)) _let_179 :args (_let_141 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args _let_180) :args _let_178)) _let_179 :args (_let_140 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (tptp.top tptp.top QUANTIFIERS_INST_ENUM)) :args _let_164)) _let_165 :args (_let_139 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_189) :args _let_186)) _let_185 :args (_let_138 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args _let_189) :args _let_176)) _let_177 :args (_let_137 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.top _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178)) _let_179 :args (_let_136 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.top tptp.one tptp.top QUANTIFIERS_INST_ENUM)) :args _let_171)) _let_172 :args (_let_135 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_188) :args _let_186)) _let_185 :args (_let_133 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args _let_188) :args _let_176)) _let_177 :args (_let_132 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.top tptp.top tptp.top QUANTIFIERS_INST_ENUM)) :args _let_171)) _let_172 :args (_let_131 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_23 QUANTIFIERS_INST_ENUM)) :args _let_186)) _let_185 :args (_let_130 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.one tptp.one tptp.sk1 QUANTIFIERS_INST_ENUM)) :args _let_171)) _let_172 :args (_let_129 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_26 QUANTIFIERS_INST_ENUM)) :args _let_176)) _let_177 :args (_let_128 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.sk1 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178)) _let_179 :args (_let_127 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_45 QUANTIFIERS_INST_ENUM)) :args _let_175)) _let_174 :args (_let_125 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_45 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_124 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_122 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_117 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_121 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_29 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_120 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_117 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_119 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_92 _let_50 QUANTIFIERS_INST_ENUM)) :args _let_178)) _let_179 :args (_let_116 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_82 tptp.top _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_115 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.top _let_23 QUANTIFIERS_INST_ENUM)) :args _let_178)) _let_179 :args (_let_113 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_23 _let_19 tptp.top QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_112 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_83 QUANTIFIERS_INST_ENUM)) :args _let_186)) _let_185 :args (_let_110 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_187) :args _let_169)) _let_170 :args (_let_109 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_187) :args _let_182)) _let_183 :args (_let_108 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_187) :args _let_168)) _let_167 :args (_let_107 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_100 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_106 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (_let_103 QUANTIFIERS_INST_CBQI_PROP)) :args _let_186)) _let_185 :args (_let_105 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_181) :args _let_164)) _let_165 :args (_let_102 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args _let_181) :args _let_182)) _let_183 :args (_let_101 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_181) :args _let_168)) _let_167 :args (_let_99 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_20 _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_164)) _let_165 :args (_let_98 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_82 _let_95 _let_93 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_97 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_180) :args _let_164)) _let_165 :args (_let_91 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_180) :args _let_169)) _let_170 :args (_let_90 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args _let_180) :args _let_168)) _let_167 :args (_let_89 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_86 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_87 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_27 _let_83 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_85 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.one _let_26 QUANTIFIERS_INST_ENUM)) :args _let_178)) _let_179 :args (_let_81 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_25 _let_25 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_17))) _let_18 :args (_let_80 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_26 _let_27 _let_50 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_78 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.one _let_25 tptp.top QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_77 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_25 _let_51 QUANTIFIERS_INST_CBQI_PROP)) :args _let_178)) _let_179 :args (_let_75 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_50 _let_50 QUANTIFIERS_INST_ENUM)) :args _let_164)) _let_165 :args (_let_73 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_27 _let_19 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_72 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.top _let_27 QUANTIFIERS_INST_ENUM)) :args _let_178)) _let_179 :args (_let_71 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_62 QUANTIFIERS_INST_ENUM)) :args _let_176)) _let_177 :args (_let_70 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.one _let_26 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_69 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_62 _let_62 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_66 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_26 _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_164)) _let_165 :args (_let_61 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_29 _let_45 _let_56 QUANTIFIERS_INST_CBQI_PROP)) :args _let_171)) _let_172 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_25 _let_50 _let_51 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_54 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_48 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_43 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_47 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_23 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_164)) _let_165 :args (_let_42 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_36 _let_19 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_41 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_36 _let_19 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_17)) _let_18 :args (_let_39 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.one tptp.one _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_171)) _let_172 :args (_let_35 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_31 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_169)) _let_170 :args (_let_33 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.top _let_21 QUANTIFIERS_INST_ENUM)) :args _let_168)) _let_167 :args (_let_30 false _let_166)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_26 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_164)) _let_165 :args (_let_28 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_21 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_164)) _let_165 :args (_let_24 false _let_10)) :args (_let_163 true _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_150 false _let_149 false _let_148 false _let_147 false _let_146 false _let_145 false _let_144 false _let_143 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_128 false _let_127 false _let_125 false _let_124 false _let_122 false _let_121 false _let_120 false _let_119 false _let_116 false _let_115 false _let_113 false _let_112 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_102 false _let_101 false _let_99 false _let_98 false _let_97 false _let_91 false _let_90 false _let_89 false _let_87 false _let_85 false _let_81 false _let_80 false _let_78 false _let_77 false _let_75 false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_66 false _let_61 false _let_59 false _let_54 false _let_48 false _let_47 false _let_42 false _let_41 false _let_39 false _let_35 false _let_33 false _let_30 false _let_28 false _let_24)) _let_18 :args (false true _let_16 false _let_11)) :args (_let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.meet A B) (tptp.complement (tptp.join (tptp.complement A) (tptp.complement B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition A (tptp.composition B C)) (tptp.composition (tptp.composition A B) C))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted)) (= tptp.zero (tptp.meet A (tptp.complement A)))) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.34/14.52 )
% 14.34/14.52 % SZS output end Proof for REL002-1
% 14.34/14.53 % cvc5---1.0.5 exiting
% 14.34/14.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------