TSTP Solution File: ALG012-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG012-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 16:07:50 EDT 2023
% Result : Unsatisfiable 0.93s 1.14s
% Output : Proof 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG012-1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : do_cvc5 %s %d
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 28 02:38:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.45 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tppF7lqq9g/cvc5---1.0.5_3864.p...
% 0.18/0.46 ------- get file name : TPTP file name is ALG012-1
% 0.18/0.46 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3864.smt2...
% 0.18/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.93/1.14 % SZS status Unsatisfiable for ALG012-1
% 0.93/1.14 % SZS output start Proof for ALG012-1
% 0.93/1.15 (
% 0.93/1.15 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.c (tptp.f X Y)) (not (tptp.d2 X)) (not (tptp.d2 Y)))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.c (tptp.f X Y)) (not (tptp.d1 X)) (not (tptp.d1 Y)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f X Y))) (or (tptp.d2 _let_1) (tptp.d1 _let_1) (not (tptp.c X)) (not (tptp.c Y))))))) (let ((_let_4 (tptp.c tptp.a1))) (let ((_let_5 (forall ((X $$unsorted)) (or (not (tptp.c X)) (not (tptp.d2 X)))))) (let ((_let_6 (forall ((X $$unsorted)) (or (not (tptp.c X)) (not (tptp.d1 X)))))) (let ((_let_7 (forall ((X $$unsorted)) (or (tptp.c X) (tptp.d1 X) (tptp.d2 X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.f X (tptp.f Y Z)) (tptp.f (tptp.f X Y) Z))))) (let ((_let_9 (not _let_4))) (let ((_let_10 (tptp.f tptp.a1 tptp.a1))) (let ((_let_11 (tptp.d1 _let_10))) (let ((_let_12 (tptp.d2 _let_10))) (let ((_let_13 (or _let_12 _let_11 _let_9 _let_9))) (let ((_let_14 (ASSUME :args (_let_4)))) (let ((_let_15 (_let_3))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (not _let_12))) (let ((_let_18 (tptp.f _let_10 _let_10))) (let ((_let_19 (tptp.c _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_17))) (let ((_let_21 (_let_1))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((not (= (tptp.d2 Y) false)) (not (= (tptp.d2 X) false))))) (let ((_let_24 (tptp.f _let_18 tptp.a1))) (let ((_let_25 (tptp.f _let_24 _let_24))) (let ((_let_26 (tptp.c _let_25))) (let ((_let_27 (tptp.d2 _let_24))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_26 _let_28 _let_28))) (let ((_let_30 (not _let_19))) (let ((_let_31 (tptp.d1 _let_24))) (let ((_let_32 (or _let_27 _let_31 _let_30 _let_9))) (let ((_let_33 (tptp.f _let_10 tptp.a1))) (let ((_let_34 (tptp.f tptp.a1 _let_10))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (tptp.f tptp.a1 _let_34))) (let ((_let_37 (= _let_18 _let_36))) (let ((_let_38 (= _let_24 (tptp.f _let_10 _let_33)))) (let ((_let_39 (= (tptp.f tptp.a1 _let_36) (tptp.f _let_10 _let_34)))) (let ((_let_40 (tptp.f tptp.a1 _let_18))) (let ((_let_41 (tptp.c (tptp.f _let_40 _let_40)))) (let ((_let_42 (tptp.d1 _let_40))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_41 _let_43 _let_43))) (let ((_let_45 (tptp.d1 _let_18))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_30 _let_46))) (let ((_let_48 (tptp.f _let_33 tptp.a1))) (let ((_let_49 (= _let_18 _let_48))) (let ((_let_50 (tptp.d1 _let_48))) (let ((_let_51 (tptp.c _let_33))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.d2 _let_48))) (let ((_let_54 (or _let_53 _let_50 _let_52 _let_9))) (let ((_let_55 (tptp.d2 _let_18))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_30 _let_56))) (let ((_let_58 (tptp.c (tptp.f _let_33 _let_33)))) (let ((_let_59 (= (tptp.f _let_10 _let_36) (tptp.f _let_33 _let_34)))) (let ((_let_60 (= (tptp.f _let_10 _let_18) (tptp.f tptp.a1 _let_40)))) (let ((_let_61 (tptp.f tptp.a1 _let_24))) (let ((_let_62 (tptp.c _let_61))) (let ((_let_63 (tptp.d1 _let_25))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_26))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (tptp.d2 _let_25))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_65 _let_68))) (let ((_let_70 (tptp.f _let_18 _let_61))) (let ((_let_71 (= _let_25 _let_70))) (let ((_let_72 (tptp.d1 _let_70))) (let ((_let_73 (tptp.d2 _let_70))) (let ((_let_74 (not _let_62))) (let ((_let_75 (or _let_73 _let_72 _let_30 _let_74))) (let ((_let_76 (_let_6))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((not (= (tptp.c X) false))))) (let ((_let_79 (_let_8))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 ((tptp.f X (tptp.f Y Z))))) (let ((_let_82 (not _let_50))) (let ((_let_83 (not _let_49))) (let ((_let_84 (or))) (let ((_let_85 (REFL :args (_let_83)))) (let ((_let_86 (and _let_49 _let_46))) (let ((_let_87 (ASSUME :args (_let_46)))) (let ((_let_88 (APPLY_UF tptp.d1))) (let ((_let_89 (ASSUME :args (_let_49)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 ((tptp.f X Y)))) (let ((_let_92 (_let_5))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((not (= (tptp.c X) false))))) (let ((_let_95 (not _let_53))) (let ((_let_96 (and _let_49 _let_56))) (let ((_let_97 (ASSUME :args (_let_56)))) (let ((_let_98 (APPLY_UF tptp.d2))) (let ((_let_99 (tptp.d1 _let_33))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_58 _let_100 _let_100))) (let ((_let_102 (tptp.d2 _let_33))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_58 _let_103 _let_103))) (let ((_let_105 (or _let_51 _let_99 _let_102))) (let ((_let_106 (_let_2))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_7))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a1 tptp.a1 _let_34 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_79)))) (let ((_let_111 ((tptp.f (tptp.f X Y) Z)))) (let ((_let_112 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_10 _let_10 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_79))))) (let ((_let_113 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a1 tptp.a1 _let_10 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_79))))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a1 tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_79)))) (let ((_let_115 (not _let_39))) (let ((_let_116 (not _let_38))) (let ((_let_117 (not _let_37))) (let ((_let_118 (not _let_35))) (let ((_let_119 (and _let_35 _let_37 _let_38 _let_39 _let_60 _let_58 _let_59))) (let ((_let_120 (ASSUME :args (_let_58)))) (let ((_let_121 (APPLY_UF tptp.c))) (let ((_let_122 (APPLY_UF tptp.f))) (let ((_let_123 (ASSUME :args (_let_35)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (CONG _let_125 _let_125 :args _let_122))) (let ((_let_127 (ASSUME :args (_let_59)))) (let ((_let_128 (ASSUME :args (_let_37)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (REFL :args (_let_10)))) (let ((_let_132 (ASSUME :args (_let_60)))) (let ((_let_133 (REFL :args (tptp.a1)))) (let ((_let_134 (ASSUME :args (_let_39)))) (let ((_let_135 (SYMM (SYMM _let_134)))) (let ((_let_136 (ASSUME :args (_let_38)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (MACRO_RESOLUTION_TRUST _let_114 _let_80 :args (_let_35 false _let_8)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST _let_113 _let_80 :args (_let_37 false _let_8)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST _let_112 _let_80 :args (_let_38 false _let_8)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST _let_110 _let_80 :args (_let_39 false _let_8)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_18 tptp.a1 _let_24 QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_79))) _let_80 :args (_let_71 false _let_8)))) (let ((_let_143 (not _let_72))) (let ((_let_144 (not _let_71))) (let ((_let_145 (REFL :args (_let_144)))) (let ((_let_146 (REFL :args (_let_115)))) (let ((_let_147 (REFL :args (_let_116)))) (let ((_let_148 (REFL :args (_let_117)))) (let ((_let_149 (REFL :args (_let_118)))) (let ((_let_150 (and _let_35 _let_37 _let_38 _let_39 _let_71 _let_64))) (let ((_let_151 (ASSUME :args (_let_64)))) (let ((_let_152 (TRANS (CONG _let_133 _let_130 :args _let_122) _let_135 (CONG _let_131 _let_125 :args _let_122) _let_137))) (let ((_let_153 (CONG (REFL :args (_let_24)) _let_152 :args _let_122))) (let ((_let_154 (CONG _let_152 (SYMM _let_152) :args _let_122))) (let ((_let_155 (CONG (REFL :args (_let_40)) _let_152 :args _let_122))) (let ((_let_156 (TRANS _let_155 _let_154 _let_153))) (let ((_let_157 (ASSUME :args (_let_71)))) (let ((_let_158 (TRANS (SYMM _let_157) (SYMM _let_153) (SYMM _let_154) (SYMM _let_155)))) (let ((_let_159 (not _let_73))) (let ((_let_160 (and _let_35 _let_37 _let_38 _let_39 _let_71 _let_68))) (let ((_let_161 (ASSUME :args (_let_68)))) (let ((_let_162 (not _let_41))) (let ((_let_163 (and _let_35 _let_37 _let_38 _let_65 _let_39))) (let ((_let_164 (ASSUME :args (_let_65)))) (let ((_let_165 (and _let_35 _let_37 _let_31 _let_38 _let_39))) (let ((_let_166 (ASSUME :args (_let_31)))) (let ((_let_167 ((tptp.f X Y)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_44))) :args ((or _let_43 _let_41 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_40 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_106)) _let_107 :args (_let_44 false _let_2)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_165)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_166 _let_136 _let_123 _let_134 _let_128) (SCOPE (TRUE_ELIM (TRANS (CONG _let_152 :args _let_88) (TRUE_INTRO _let_166))) :args (_let_31 _let_38 _let_35 _let_39 _let_37))) :args (_let_35 _let_37 _let_31 _let_38 _let_39))) :args (true _let_165)) :args ((or _let_118 _let_42 _let_117 (not _let_31) _let_116 _let_115))) _let_141 _let_140 _let_139 _let_138 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_164 _let_136 _let_123 _let_134 _let_128) (SCOPE (FALSE_ELIM (TRANS (CONG _let_155 :args _let_121) (CONG (TRANS _let_154 _let_153) :args _let_121) (FALSE_INTRO _let_164))) :args (_let_65 _let_38 _let_35 _let_39 _let_37))) :args (_let_35 _let_37 _let_38 _let_65 _let_39))) :args (true _let_163)) (CONG _let_149 _let_148 _let_147 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_26))) _let_146 (REFL :args (_let_162)) :args _let_84)) :args ((or _let_118 _let_117 _let_26 _let_116 _let_162 _let_115))) _let_141 _let_140 _let_139 _let_138 (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_9 _let_30 _let_27 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_18 tptp.a1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c X) false)) (not (= (tptp.c Y) false))))) :args _let_15)) _let_16 :args (_let_32 false _let_3)) _let_14 (REORDERING (FACTORING (CNF_OR_POS :args (_let_29))) :args ((or _let_28 _let_26 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_24 _let_24 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_29 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_30 _let_73 _let_72 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_18 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_15)) _let_16 :args (_let_75 false _let_3)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_160)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_161 _let_136 _let_123 _let_134 _let_128 _let_157) (SCOPE (FALSE_ELIM (TRANS (CONG _let_158 :args _let_98) (CONG _let_156 :args _let_98) (FALSE_INTRO _let_161))) :args (_let_68 _let_38 _let_35 _let_39 _let_37 _let_71))) :args (_let_35 _let_37 _let_38 _let_39 _let_71 _let_68))) :args (true _let_160)) (CONG _let_149 _let_148 _let_147 _let_146 _let_145 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) (REFL :args (_let_159)) :args _let_84)) :args ((or _let_118 _let_117 _let_116 _let_67 _let_115 _let_144 _let_159))) _let_142 _let_141 _let_140 _let_139 _let_138 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_150)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_151 _let_136 _let_123 _let_134 _let_128 _let_157) (SCOPE (FALSE_ELIM (TRANS (CONG _let_158 :args _let_88) (CONG _let_156 :args _let_88) (FALSE_INTRO _let_151))) :args (_let_64 _let_38 _let_35 _let_39 _let_37 _let_71))) :args (_let_35 _let_37 _let_38 _let_39 _let_71 _let_64))) :args (true _let_150)) (CONG _let_149 _let_148 _let_147 _let_146 _let_145 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) (REFL :args (_let_143)) :args _let_84)) :args ((or _let_118 _let_117 _let_116 _let_63 _let_115 _let_144 _let_143))) _let_142 _let_141 _let_140 _let_139 _let_138 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_65 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_69 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_66 false _let_6)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_123 _let_127 _let_128 _let_132 _let_134 _let_136) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_133 (TRANS (SYMM _let_137) (CONG _let_131 _let_124 :args _let_122) (SYMM _let_135) (CONG _let_133 _let_129 :args _let_122)) :args _let_122) (SYMM _let_132) (CONG _let_131 _let_130 :args _let_122) (SYMM (SYMM _let_127)) (CONG (REFL :args (_let_33)) _let_125 :args _let_122) (SYMM _let_126)) :args _let_121) (CONG _let_126 :args _let_121) (TRUE_INTRO _let_120))) :args (_let_58 _let_35 _let_59 _let_37 _let_60 _let_39 _let_38))) :args (_let_35 _let_37 _let_38 _let_39 _let_60 _let_58 _let_59))) :args (true _let_119)) :args ((or _let_118 _let_117 _let_116 _let_115 _let_62 (not _let_60) (not _let_58) (not _let_59)))) _let_114 _let_113 _let_112 _let_110 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a1 tptp.a1 _let_18 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_79))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_10 tptp.a1 _let_34 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_51 _let_99 _let_102 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c X) true))))) :args _let_108)) _let_109 :args (_let_105 false _let_7)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_104))) :args ((or _let_103 _let_58 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_33 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f X Y)))) :args _let_21)) _let_22 :args (_let_104 false _let_1)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_101))) :args ((or _let_100 _let_58 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_33 _let_33 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.d1 X) false)) (not (= (tptp.d1 Y) false))))) :args _let_106)) _let_107 :args (_let_101 false _let_2)) :args ((or _let_51 _let_58) false _let_105 true _let_102 false _let_104 true _let_99 false _let_101)) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_9 _let_53 _let_50 _let_52 (not _let_54)))) _let_14 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG _let_90 :args _let_98) (FALSE_INTRO _let_97))) :args (_let_56 _let_49))) :args (_let_49 _let_56))) :args (true _let_96)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) (REFL :args (_let_95)) :args _let_84)) :args ((or _let_55 _let_83 _let_95))) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_30 _let_56 (not _let_57)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_33 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_15)) _let_16 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_87 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG _let_90 :args _let_88) (FALSE_INTRO _let_87))) :args (_let_46 _let_49))) :args (_let_49 _let_46))) :args (true _let_86)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) (REFL :args (_let_82)) :args _let_84)) :args ((or _let_45 _let_83 _let_82))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_10 tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_79)) _let_80 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_30 _let_46 (not _let_47)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args ((or _let_30 _let_65) false _let_75 true _let_73 false _let_71 false _let_39 false _let_38 false _let_37 false _let_35 true _let_72 false _let_71 false _let_39 false _let_38 false _let_37 false _let_35 true _let_67 false _let_69 true _let_63 false _let_66 false _let_62 false _let_35 false _let_37 false _let_38 false _let_39 false _let_60 false _let_59 false _let_58 true _let_51 false _let_4 true _let_53 true _let_55 false _let_57 false _let_5 false _let_54 false _let_3 true _let_50 false _let_49 false _let_8 true _let_45 false _let_47 false _let_6)) :args (_let_30 false _let_44 false _let_42 false _let_39 false _let_38 false _let_37 false _let_35 true _let_41 false _let_39 false _let_38 false _let_37 false _let_35 false _let_31 false _let_32 false _let_4 true _let_27 false _let_29 true _let_26)))) (let ((_let_169 (not _let_11))) (let ((_let_170 (or _let_19 _let_169 _let_169))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_13))) :args ((or _let_9 _let_12 _let_11 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_170))) :args ((or _let_169 _let_19 (not _let_170)))) _let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_10 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_167)) :args _let_106)) _let_107 :args (_let_170 false _let_2)) :args (_let_169 true _let_19 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_20))) :args ((or _let_17 _let_19 (not _let_20)))) _let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_10 _let_10 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_20 false _let_1)) :args (_let_17 true _let_19 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_15)) _let_16 :args (_let_13 false _let_3)) _let_14 :args (false true _let_11 true _let_12 false _let_13 false _let_4)) :args (_let_8 _let_7 _let_6 _let_5 (forall ((X $$unsorted)) (or (not (tptp.d1 X)) (not (tptp.d2 X)))) _let_4 (tptp.d1 tptp.a2) (tptp.d2 tptp.a3) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.93/1.15 )
% 0.93/1.16 % SZS output end Proof for ALG012-1
% 0.93/1.16 % cvc5---1.0.5 exiting
% 0.93/1.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------