TSTP Solution File: PUZ078+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 13:13:17 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 22:26:33 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.frUCuke3SL/cvc5---1.0.5_20150.p...
% 0.21/0.60 ------- get file name : TPTP file name is PUZ078+1
% 0.21/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20150.smt2...
% 0.21/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.60 % SZS status Theorem for PUZ078+1
% 0.21/0.60 % SZS output start Proof for PUZ078+1
% 0.21/0.60 (
% 0.21/0.60 (let ((_let_1 (tptp.truthday tptp.tuesday))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.day3 X) (= (tptp.truthday X) (and (not (tptp.truthday tptp.wednesday)) (not (tptp.truthday tptp.friday)))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.day2 X) (= (tptp.truthday X) (or (tptp.day2 tptp.thursday) (tptp.day2 tptp.saturday) (tptp.day2 tptp.sunday))))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.day1 X) (= (tptp.truthday X) (and (not (tptp.truthday tptp.monday)) (not (tptp.truthday tptp.tuesday)))))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.day2 X) (tptp.day3 (tptp.consecutive X)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.day1 X) (tptp.day2 (tptp.consecutive X)))))) (let ((_let_8 (tptp.consecutive tptp.saturday))) (let ((_let_9 (= _let_8 tptp.sunday))) (let ((_let_10 (tptp.consecutive tptp.friday))) (let ((_let_11 (= _let_10 tptp.saturday))) (let ((_let_12 (tptp.consecutive tptp.thursday))) (let ((_let_13 (= _let_12 tptp.friday))) (let ((_let_14 (tptp.consecutive tptp.wednesday))) (let ((_let_15 (= _let_14 tptp.thursday))) (let ((_let_16 (tptp.consecutive tptp.tuesday))) (let ((_let_17 (= _let_16 tptp.wednesday))) (let ((_let_18 (tptp.consecutive tptp.monday))) (let ((_let_19 (= _let_18 tptp.tuesday))) (let ((_let_20 (tptp.consecutive tptp.sunday))) (let ((_let_21 (= _let_20 tptp.monday))) (let ((_let_22 (exists ((X $$unsorted)) (tptp.day3 X)))) (let ((_let_23 (exists ((X $$unsorted)) (tptp.day2 X)))) (let ((_let_24 (exists ((X $$unsorted)) (tptp.day1 X)))) (let ((_let_25 (exists ((X $$unsorted)) (tptp.truthday X)))) (let ((_let_26 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.day3 X) (tptp.day3 Y)) (= X Y))))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.day2 X) (tptp.day2 Y)) (= X Y))))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.day1 X) (tptp.day1 Y)) (= X Y))))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.truthday X) (tptp.truthday Y)) (= X Y))))) (let ((_let_30 (= tptp.saturday tptp.sunday))) (let ((_let_31 (not _let_30))) (let ((_let_32 (= tptp.tuesday tptp.sunday))) (let ((_let_33 (= tptp.monday tptp.sunday))) (let ((_let_34 (not _let_33))) (let ((_let_35 (= tptp.monday tptp.friday))) (let ((_let_36 (not _let_35))) (let ((_let_37 (= tptp.monday tptp.wednesday))) (let ((_let_38 (not _let_37))) (let ((_let_39 (and (not (= tptp.monday tptp.tuesday)) _let_38 (not (= tptp.monday tptp.thursday)) _let_36 (not (= tptp.monday tptp.saturday)) _let_34 (not (= tptp.tuesday tptp.wednesday)) (not (= tptp.tuesday tptp.thursday)) (not (= tptp.tuesday tptp.friday)) (not (= tptp.tuesday tptp.saturday)) (not _let_32) (not (= tptp.wednesday tptp.thursday)) (not (= tptp.wednesday tptp.friday)) (not (= tptp.wednesday tptp.saturday)) (not (= tptp.wednesday tptp.sunday)) (not (= tptp.thursday tptp.friday)) (not (= tptp.thursday tptp.saturday)) (not (= tptp.thursday tptp.sunday)) (not (= tptp.friday tptp.saturday)) (not (= tptp.friday tptp.sunday)) _let_31))) (let ((_let_40 (forall ((X $$unsorted)) (or (= X tptp.monday) (= X tptp.tuesday) (= X tptp.wednesday) (= X tptp.thursday) (= X tptp.friday) (= X tptp.saturday) (= X tptp.sunday))))) (let ((_let_41 (tptp.day1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_42 (tptp.day1 tptp.friday))) (let ((_let_43 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (= tptp.friday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (forall ((X $$unsorted)) (not (tptp.day1 X))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (_let_41))) (let ((_let_49 (not _let_45))) (let ((_let_50 (not _let_41))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_46) :args (_let_49)) (REWRITE :args ((=> _let_49 (not _let_50)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args _let_48) :args _let_47)) _let_46 :args (_let_41 true _let_45)))) (let ((_let_52 (tptp.day2 _let_10))) (let ((_let_53 (= _let_42 _let_52))) (let ((_let_54 (not _let_42))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.consecutive X)))) (let ((_let_58 (= tptp.saturday _let_10))) (let ((_let_59 (tptp.day2 tptp.saturday))) (let ((_let_60 (not _let_52))) (let ((_let_61 (SYMM (ASSUME :args (_let_11))))) (let ((_let_62 (tptp.day2 tptp.sunday))) (let ((_let_63 (tptp.day2 tptp.thursday))) (let ((_let_64 (or _let_63 _let_59 _let_62))) (let ((_let_65 (not _let_59))) (let ((_let_66 (tptp.truthday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (= _let_64 _let_66))) (let ((_let_68 (tptp.truthday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_70 (not _let_66))) (let ((_let_71 (not _let_68))) (let ((_let_72 (or _let_71 _let_70 _let_69))) (let ((_let_73 (tptp.truthday tptp.monday))) (let ((_let_74 (not _let_73))) (let ((_let_75 (and _let_74 _let_2))) (let ((_let_76 (= tptp.monday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (or _let_71 _let_74 _let_76))) (let ((_let_78 (= tptp.tuesday _let_18))) (let ((_let_79 (tptp.consecutive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_79))) (let ((_let_81 (tptp.truthday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (tptp.truthday tptp.friday))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.truthday tptp.wednesday))) (let ((_let_85 (not _let_84))) (let ((_let_86 (and _let_85 _let_83))) (let ((_let_87 (= _let_86 _let_81))) (let ((_let_88 (tptp.day3 _let_8))) (let ((_let_89 (= _let_59 _let_88))) (let ((_let_90 (tptp.day3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_91 (= _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_92 (not _let_88))) (let ((_let_93 (not _let_90))) (let ((_let_94 (or _let_93 _let_92 _let_91))) (let ((_let_95 (= tptp.sunday _let_8))) (let ((_let_96 (not _let_64))) (let ((_let_97 (tptp.day2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_67))) (let ((_let_100 (forall ((X $$unsorted)) (or (not (tptp.day2 X)) (= (tptp.truthday X) (or (tptp.day2 tptp.thursday) (tptp.day2 tptp.saturday) (tptp.day2 tptp.sunday))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.day2 X) false))))) :args (_let_100)))))) (let ((_let_103 (forall ((X $$unsorted)) (not (tptp.day2 X))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_97))) (let ((_let_106 (not _let_103))) (let ((_let_107 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_104) :args (_let_106)) (REWRITE :args ((=> _let_106 (not _let_98)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_103))) (REFL :args _let_105) :args _let_47)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST _let_107 _let_104 :args (_let_97 true _let_103)))) (let ((_let_109 (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_67 (not _let_99)))))) (let ((_let_110 (MACRO_RESOLUTION_TRUST _let_109 _let_108 (MACRO_RESOLUTION_TRUST _let_102 _let_101 :args (_let_99 false _let_100)) :args (_let_67 false _let_97 false _let_99)))) (let ((_let_111 (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_66 _let_96 (not _let_67)))))) (let ((_let_112 (forall ((X $$unsorted)) (not (tptp.truthday X))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (not _let_112))) (let ((_let_115 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_113) :args (_let_114)) (REWRITE :args ((=> _let_114 (not _let_71)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_112))) (REFL :args (_let_68)) :args _let_47)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST _let_115 _let_113 :args (_let_68 true _let_112)))) (let ((_let_117 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthday X)) (not (tptp.truthday Y)) (= X Y))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((not (= (tptp.truthday X) false)) (not (= (tptp.truthday Y) false))))) (let ((_let_121 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST _let_121 _let_118 :args (_let_72 false _let_117)))) (let ((_let_123 (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 _let_69 (not _let_72)))))) (let ((_let_124 (tptp.truthday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_125 (= _let_75 _let_124))) (let ((_let_126 (not _let_124))) (let ((_let_127 (or _let_71 _let_126 _let_43))) (let ((_let_128 (tptp.consecutive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_129 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_128))) (let ((_let_130 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_131 (= tptp.thursday _let_14))) (let ((_let_132 (tptp.day2 _let_14))) (let ((_let_133 (tptp.day1 tptp.wednesday))) (let ((_let_134 (= _let_133 _let_132))) (let ((_let_135 (= _let_75 _let_84))) (let ((_let_136 (not _let_133))) (let ((_let_137 (or _let_136 _let_135))) (let ((_let_138 (not _let_75))) (let ((_let_139 (or _let_50 _let_125))) (let ((_let_140 (forall ((X $$unsorted)) (or (not (tptp.day1 X)) (= (tptp.truthday X) (and (not (tptp.truthday tptp.monday)) (not (tptp.truthday tptp.tuesday)))))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 ((not (= (tptp.day1 X) false))))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_50 _let_125 (not _let_139)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_143)) :args _let_142))) _let_141 :args (_let_139 false _let_140)) :args (_let_125 false _let_41 false _let_139)))) (let ((_let_145 (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or _let_124 _let_138 (not _let_125)))))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)) _let_118 :args (_let_127 false _let_117)))) (let ((_let_147 (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_71 _let_126 _let_43 (not _let_127)))))) (let ((_let_148 (tptp.day2 _let_128))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_98 _let_149 _let_129))) (let ((_let_151 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.day2 X)) (not (tptp.day2 Y)) (= X Y))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 ((not (= (tptp.day2 X) false)) (not (= (tptp.day2 Y) false))))) (let ((_let_155 (= _let_41 _let_148))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_98 _let_149 _let_129 (not _let_150)))) _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_155)) :args ((or _let_50 _let_148 (not _let_155)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.day1 X)))) :args _let_55)) _let_56 :args (_let_155 false _let_7)) :args (_let_148 false _let_41 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_128 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_153)) _let_152 :args (_let_150 false _let_151)) :args (_let_129 false _let_97 false _let_148 false _let_150)))) (let ((_let_157 (tptp.day3 _let_79))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_93 _let_158 _let_80))) (let ((_let_160 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.day3 X)) (not (tptp.day3 Y)) (= X Y))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((not (= (tptp.day3 X) false)) (not (= (tptp.day3 Y) false))))) (let ((_let_164 (= _let_97 _let_157))) (let ((_let_165 (_let_6))) (let ((_let_166 (ASSUME :args _let_165))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_164)) :args ((or _let_98 _let_157 (not _let_164)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.day2 X)))) :args _let_165)) _let_166 :args (_let_164 false _let_6)) :args (_let_157 false _let_97 false _let_164)))) (let ((_let_168 (forall ((X $$unsorted)) (not (tptp.day3 X))))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (not _let_168))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_169) :args (_let_170)) (REWRITE :args ((=> _let_170 (not _let_93)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_168))) (REFL :args (_let_90)) :args _let_47)) _let_169 :args (_let_90 true _let_168)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_93 _let_158 _let_80 (not _let_159)))) _let_171 _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_79 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_162)) _let_161 :args (_let_159 false _let_160)) :args (_let_80 false _let_90 false _let_157 false _let_159)))) (let ((_let_173 (not _let_69))) (let ((_let_174 (not _let_80))) (let ((_let_175 (not _let_129))) (let ((_let_176 (not _let_43))) (let ((_let_177 (and _let_43 _let_129 _let_80 _let_69))) (let ((_let_178 (ASSUME :args (_let_80)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (APPLY_UF tptp.consecutive))) (let ((_let_182 (ASSUME :args (_let_69)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_43)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (ASSUME :args (_let_129)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (and _let_66 _let_43 _let_129 _let_80 _let_69))) (let ((_let_192 (ASSUME :args (_let_66)))) (let ((_let_193 (APPLY_UF tptp.truthday))) (let ((_let_194 (tptp.day2 _let_8))) (let ((_let_195 (tptp.day1 tptp.saturday))) (let ((_let_196 (= _let_195 _let_194))) (let ((_let_197 (= _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_198 (not _let_194))) (let ((_let_199 (or _let_98 _let_198 _let_197))) (let ((_let_200 (= tptp.saturday SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_201 (not _let_195))) (let ((_let_202 (or _let_50 _let_201 _let_200))) (let ((_let_203 (not _let_62))) (let ((_let_204 (SYMM (ASSUME :args (_let_9))))) (let ((_let_205 (not _let_95))) (let ((_let_206 (and _let_62 _let_95))) (let ((_let_207 (_let_62 _let_95))) (let ((_let_208 (ASSUME :args (_let_62)))) (let ((_let_209 (APPLY_UF tptp.day2))) (let ((_let_210 (SYMM _let_204))) (let ((_let_211 (CONG _let_210 :args _let_209))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE 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_let_63 _let_411 _let_306))) _let_412 _let_305 :args (_let_411 true _let_63 false _let_299)) _let_172 _let_156 _let_167 _let_311 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_359 _let_188 _let_178 _let_355 _let_409 _let_270 _let_410) :args (_let_131 _let_157 _let_394 _let_129 _let_80 _let_325 _let_376)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_410)) (CONG (TRANS _let_279 (SYMM (SYMM _let_409)) _let_390 _let_180 _let_358) :args _let_314) _let_389 _let_360)) :args (_let_157 _let_129 _let_80 _let_325 _let_376 _let_131 _let_394)) :args ((not (and _let_131 _let_157 _let_394 _let_129 _let_80 _let_325 _let_376)) SB_LITERAL))) (CONG _let_275 _let_353 (MACRO_SR_PRED_INTRO :args ((= (not _let_394) _let_375))) _let_240 _let_254 _let_352 (REFL :args (_let_408)) :args _let_47)) :args ((or _let_274 _let_375 _let_158 _let_175 _let_174 _let_351 _let_408))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_393)) :args ((or _let_392 _let_394 (not _let_393)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_406)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_407 _let_405) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_405)) :args _let_209) (FALSE_INTRO _let_407))) :args (_let_400 _let_396))) :args (_let_396 _let_400))) :args (true _let_406)) (CONG (REFL :args ((not _let_396))) (MACRO_SR_PRED_INTRO :args ((= (not _let_400) _let_395))) (REFL :args (_let_397)) :args _let_47)) _let_405 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_399)) :args ((or _let_398 _let_400 (not _let_399)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_402 _let_401 (not _let_403)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_401)) :args ((or _let_1 _let_138 _let_404))) _let_233 _let_362 :args (_let_404 true _let_1 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.tuesday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.truthday X) _let_75))))) :args _let_142)) _let_141 :args (_let_403 false _let_140)) :args (_let_402 true _let_401 false _let_403)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.tuesday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_399 false _let_7)) :args (_let_400 true _let_398 false _let_399)) :args (_let_397 false _let_396 true _let_395)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.wednesday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_165)) _let_166 :args (_let_393 false _let_6)) :args (_let_394 true _let_392 false _let_393)) _let_172 _let_156 _let_167 _let_270 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_359 _let_188 _let_178 _let_355 _let_391 _let_382) :args (_let_157 _let_366 _let_129 _let_80 _let_325 _let_374)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_383) (CONG (TRANS (SYMM (SYMM _let_391)) _let_390 _let_180 _let_358) :args _let_314) _let_389 _let_360)) :args (_let_157 _let_129 _let_80 _let_325 _let_374 _let_366)) :args ((not (and _let_157 _let_366 _let_129 _let_80 _let_325 _let_374)) SB_LITERAL))) (CONG _let_353 _let_380 _let_240 _let_254 _let_352 (REFL :args (_let_388)) :args _let_47)) :args ((or _let_365 _let_158 _let_175 _let_174 _let_351 _let_388))) _let_172 _let_156 _let_167 (REORDERING (CNF_EQUIV_POS1 :args (_let_373)) :args ((or _let_371 _let_387 (not _let_373)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sunday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_373 false _let_7)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_385)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_386 _let_328) (SCOPE (FALSE_ELIM (TRANS (CONG _let_333 :args _let_209) (FALSE_INTRO _let_386))) :args (_let_384 _let_321))) :args (_let_321 _let_384))) :args (true _let_385)) (CONG _let_332 (MACRO_SR_PRED_INTRO :args ((= (not _let_384) _let_369))) (REFL :args ((not _let_371))) :args _let_47)) _let_328 (REORDERING (CNF_EQUIV_POS1 :args (_let_370)) :args ((or _let_368 _let_384 (not _let_370)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.monday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_248)) :args _let_165)) _let_166 :args (_let_370 false _let_6)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_381)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_382 _let_290) (SCOPE (FALSE_ELIM (TRANS (CONG _let_294 :args _let_314) _let_383)) :args (_let_366 _let_78))) :args (_let_78 _let_366))) :args (true _let_381)) (CONG _let_292 _let_380 (REFL :args ((not _let_368))) :args _let_47)) _let_290 (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_366 _let_364 (not _let_367)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_264 :args (tptp.tuesday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_310)) :args _let_265)) _let_264 :args (_let_367 false _let_263)) _let_348 _let_347 _let_116 (REORDERING (CNF_EQUIV_POS2 :args (_let_364)) :args ((or _let_1 _let_281 (not _let_364)))) _let_233 _let_297 _let_266 :args (_let_281 false _let_43 false _let_80 false _let_41 false _let_378 false _let_379 true _let_377 true _let_322 true _let_76 true _let_44 true _let_298 false _let_80 false _let_129 false _let_157 false _let_304 true _let_376 true _let_375 false _let_80 false _let_129 false _let_157 false _let_131 true _let_374 false _let_80 false _let_129 false _let_157 true _let_372 false _let_373 true _let_371 false _let_321 true _let_369 false _let_370 true _let_368 false _let_78 true _let_365 false _let_367 false _let_325 false _let_326 false _let_68 true _let_364 true _let_1 false _let_81 false _let_87)) :args (_let_82 true _let_84 true _let_86)) _let_116 _let_343 :args (_let_44 false _let_82 false _let_68 false _let_323)) _let_363 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_52 _let_54 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_319)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_320 _let_61) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_61) :args _let_209) (FALSE_INTRO _let_320))) :args (_let_65 _let_58))) :args (_let_58 _let_65))) :args (true _let_319)) (CONG (REFL :args (_let_318)) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_59))) (REFL :args (_let_60)) :args _let_47)) :args ((or _let_59 _let_318 _let_60))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_64 1)) _let_317 :args (_let_65 true _let_64)) _let_61 :args (_let_60 true _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.friday QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_53 false _let_7)) :args (_let_54 true _let_52 false _let_53)) _let_51 :args (false false _let_44 false _let_43 true _let_42 false _let_41)) :args (_let_40 _let_39 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_19 _let_17 _let_15 _let_13 _let_11 _let_9 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.60 )
% 0.21/0.60 % SZS output end Proof for PUZ078+1
% 0.21/0.60 % cvc5---1.0.5 exiting
% 0.21/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------