TSTP Solution File: BOO012-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:06:18 EDT 2023
% Result : Unsatisfiable 22.93s 23.16s
% Output : Proof 22.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 07:47:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Rt0EnsvbHe/cvc5---1.0.5_20626.p...
% 0.21/0.50 ------- get file name : TPTP file name is BOO012-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20626.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.52 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.35/15.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.39/20.56 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.93/23.16 % SZS status Unsatisfiable for BOO012-3
% 22.93/23.16 % SZS output start Proof for BOO012-3
% 22.93/23.17 (
% 22.93/23.17 (let ((_let_1 (tptp.inverse tptp.x))) (let ((_let_2 (tptp.inverse _let_1))) (let ((_let_3 (not (= _let_2 tptp.x)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (X_times_Y $$unsorted) (Z $$unsorted) (Y_times_Z $$unsorted) (X_times_Y_times_Z $$unsorted)) (or (not (tptp.product X Y X_times_Y)) (not (tptp.product Y Z Y_times_Z)) (not (tptp.product X Y_times_Z X_times_Y_times_Z)) (tptp.product X_times_Y Z X_times_Y_times_Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.sum X Z X))))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.product X tptp.additive_identity tptp.additive_identity)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.additive_identity)))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.additive_identity)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity)))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.sum (tptp.inverse X) X tptp.multiplicative_identity)))) (let ((_let_12 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.sum V3 X V4)) (tptp.product V1 V2 V4))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum X V3 V4))))) (let ((_let_14 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.product X tptp.multiplicative_identity X)))) (let ((_let_17 (forall ((X $$unsorted)) (tptp.product tptp.multiplicative_identity X X)))) (let ((_let_18 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product Y X Z))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_23 (tptp.add tptp.x _let_2))) (let ((_let_24 (= tptp.x _let_23))) (let ((_let_25 (tptp.sum tptp.additive_identity tptp.x _let_23))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.sum tptp.additive_identity tptp.x tptp.x))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24))) (let ((_let_30 (_let_7))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_29))) (let ((_let_33 (tptp.sum tptp.additive_identity tptp.x _let_2))) (let ((_let_34 (tptp.add _let_2 tptp.x))) (let ((_let_35 (= _let_23 _let_34))) (let ((_let_36 (= _let_2 _let_34))) (let ((_let_37 (tptp.sum tptp.x tptp.additive_identity _let_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (_let_20))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.product tptp.multiplicative_identity _let_2 _let_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.sum tptp.x _let_1 tptp.multiplicative_identity))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.product _let_1 _let_2 tptp.additive_identity))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.product tptp.x _let_2 tptp.x))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47 _let_45 _let_43 _let_37))) (let ((_let_51 (_let_14))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.product _let_2 tptp.multiplicative_identity _let_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_42))) (let ((_let_56 (_let_19))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_16))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.product _let_2 _let_1 tptp.additive_identity))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_46))) (let ((_let_63 (_let_2 _let_1 tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_64 (_let_9))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (_let_1 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_66) :args _let_64)) _let_65 :args (_let_60 false _let_9)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_46 (not _let_62)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_63) :args _let_56)) _let_57 :args (_let_62 false _let_19)) :args (_let_46 false _let_60 false _let_62)))) (let ((_let_69 (tptp.product tptp.x _let_34 tptp.x))) (let ((_let_70 (tptp.product tptp.additive_identity _let_2 tptp.additive_identity))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.sum _let_2 tptp.x _let_34))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_28 _let_73 _let_71 _let_28 _let_69))) (let ((_let_75 (_let_12))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (tptp.product tptp.x tptp.additive_identity tptp.additive_identity))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.product tptp.x _let_1 tptp.additive_identity))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_47 _let_78 _let_70))) (let ((_let_82 (_let_4))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (_let_6))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (tptp.x QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_87 (_let_8))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_78 _let_47 _let_70 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_86) :args _let_87)) _let_88 :args (_let_79 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_86) :args _let_84)) _let_85 :args (_let_77 false _let_6)) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.x _let_1 tptp.additive_identity _let_2 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_82)) _let_83 :args (_let_81 false _let_4)) :args (_let_70 false _let_79 false _let_77 false _let_46 false _let_81)))) (let ((_let_90 (_let_22))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_2 tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_90)) _let_91 :args (_let_72 false _let_22)))) (let ((_let_93 (_let_18))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_86) :args _let_93)) _let_94 :args (_let_27 false _let_18)))) (let ((_let_96 (tptp.sum _let_2 tptp.x _let_2))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_73 _let_36))) (let ((_let_99 (tptp.product _let_2 tptp.x tptp.x))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_96))) (let ((_let_102 (_let_5))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (tptp.multiply _let_2 tptp.x))) (let ((_let_105 (tptp.sum tptp.additive_identity _let_104 tptp.x))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.product _let_2 tptp.x _let_104))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.product _let_2 tptp.additive_identity tptp.additive_identity))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108 _let_28 _let_106 _let_99))) (let ((_let_112 (_let_15))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (tptp.add _let_1 _let_2))) (let ((_let_115 (tptp.product _let_114 tptp.x tptp.x))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.sum _let_1 _let_2 _let_114))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.product _let_1 tptp.x tptp.additive_identity))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_108 _let_118 _let_116 _let_105))) (let ((_let_122 (_let_21))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_2 tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) _let_123 :args (_let_107 false _let_21)))) (let ((_let_125 (= tptp.multiplicative_identity _let_114))) (let ((_let_126 (tptp.product tptp.multiplicative_identity tptp.x tptp.x))) (let ((_let_127 (tptp.sum _let_1 _let_2 tptp.multiplicative_identity))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_118 _let_125))) (let ((_let_130 (tptp.sum _let_2 _let_1 tptp.multiplicative_identity))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_127))) (let ((_let_133 (_let_11))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args _let_66) :args _let_133)) _let_134 :args (_let_130 false _let_11)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_1 _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_90)) _let_91 :args (_let_117 false _let_22)))) (let ((_let_137 (_let_17))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args _let_86) :args _let_137)) _let_138 :args (_let_126 false _let_17)))) (let ((_let_140 (not _let_126))) (let ((_let_141 (and _let_126 _let_125))) (let ((_let_142 (_let_126 _let_125))) (let ((_let_143 (ASSUME :args (_let_126)))) (let ((_let_144 (APPLY_UF tptp.product))) (let ((_let_145 (REFL :args (tptp.x)))) (let ((_let_146 (ASSUME :args (_let_125)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_86) :args _let_64)) _let_65 :args (_let_119 false _let_9)))) (let ((_let_148 (or _let_71 _let_109))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_73 _let_36 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_96 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_28 _let_99 _let_110 _let_108 _let_106 (not _let_111)))) _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_71 _let_109 (not _let_148)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.additive_identity _let_2 tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_56)) _let_57 :args (_let_148 false _let_19)) :args (_let_109 false _let_70 false _let_148)) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_118 _let_116 _let_108 _let_105 (not _let_121)))) _let_147 _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_143 _let_146) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_146) _let_145 _let_145 :args _let_144) (TRUE_INTRO _let_143))) :args _let_142)) :args _let_142)) :args (true _let_141)) :args ((or _let_140 _let_115 (not _let_125)))) _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_118 _let_125 _let_128 (not _let_129)))) _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_131 _let_127 (not _let_132)))) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_2 _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_41 :args (_let_132 false _let_20)) :args (_let_127 false _let_130 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_1 _let_2 tptp.multiplicative_identity _let_114 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_129 false _let_7)) :args (_let_125 false _let_117 false _let_127 false _let_129)) :args (_let_115 false _let_126 false _let_125)) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.x tptp.additive_identity _let_2 _let_104 _let_114 tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_121 false _let_14)) :args (_let_105 false _let_119 false _let_117 false _let_115 false _let_107 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_2 tptp.additive_identity tptp.additive_identity tptp.x _let_104 tptp.x tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_112)) _let_113 :args (_let_111 false _let_15)) :args (_let_99 false _let_27 false _let_109 false _let_107 false _let_105 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_2 tptp.x tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_102)) _let_103 :args (_let_101 false _let_5)) :args (_let_96 false _let_99 false _let_101)) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_2 tptp.x _let_2 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_98 false _let_7)) :args (_let_36 false _let_96 false _let_72 false _let_98)))) (let ((_let_150 (not _let_36))) (let ((_let_151 (and _let_36 _let_69))) (let ((_let_152 (ASSUME :args (_let_69)))) (let ((_let_153 (ASSUME :args (_let_36)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (_let_10))) (let ((_let_156 (ASSUME :args _let_155))) (let ((_let_157 (tptp.sum _let_2 tptp.x _let_23))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_73 _let_35))) (let ((_let_160 (tptp.sum tptp.x _let_2 _let_23))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_157))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_161 _let_157 (not _let_162)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.x _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_90)) _let_91 :args (_let_160 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.x _let_2 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_41 :args (_let_162 false _let_20)) :args (_let_157 false _let_160 false _let_162)))) (let ((_let_164 (and _let_36 _let_35 _let_33))) (let ((_let_165 (ASSUME :args (_let_33)))) (let ((_let_166 (APPLY_UF tptp.sum))) (let ((_let_167 (ASSUME :args (_let_35)))) (let ((_let_168 (tptp.sum _let_2 tptp.x tptp.x))) (let ((_let_169 (not _let_24))) (let ((_let_170 (tptp.sum _let_2 tptp.additive_identity tptp.x))) (let ((_let_171 (not _let_168))) (let ((_let_172 (or _let_131 _let_171 _let_120 _let_140 _let_170))) (let ((_let_173 (_let_13))) (let ((_let_174 (ASSUME :args _let_173))) (let ((_let_175 (= tptp.x _let_2))) (let ((_let_176 (tptp.sum _let_2 tptp.additive_identity _let_2))) (let ((_let_177 (not _let_176))) (let ((_let_178 (not _let_170))) (let ((_let_179 (or _let_178 _let_177 _let_175))) (let ((_let_180 (or _let_61 _let_176))) (let ((_let_181 (ASSUME :args (_let_171)))) (let ((_let_182 (ASSUME :args (_let_24)))) (let ((_let_183 (ASSUME :args (_let_157)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.additive_identity tptp.x tptp.x _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_24 _let_26 _let_32))) _let_95 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_181 _let_182 _let_183) :args (_let_24 _let_171 _let_157)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_183)) (CONG (REFL :args (_let_2)) _let_145 (SYMM _let_182) :args _let_166) (FALSE_INTRO _let_181))) :args (_let_171 _let_24 _let_157)) :args ((not (and _let_24 _let_171 _let_157)) SB_LITERAL))) (CONG (REFL :args (_let_169)) (MACRO_SR_PRED_INTRO :args ((= (not _let_171) _let_168))) (REFL :args (_let_158)) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_140 _let_120 _let_131 _let_171 _let_170 (not _let_172)))) _let_139 _let_147 _let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_175 _let_178 _let_177 (not _let_179)))) (SYMM (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_61 _let_176 (not _let_180)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args _let_63) :args _let_102)) _let_103 :args (_let_180 false _let_5)) :args (_let_176 false _let_60 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_2 tptp.additive_identity tptp.x _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_179 false _let_7)) :args (_let_178 true _let_175 false _let_176 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_2 _let_1 tptp.multiplicative_identity tptp.x tptp.x tptp.additive_identity tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_173)) _let_174 :args (_let_172 false _let_13)) :args (_let_171 false _let_126 false _let_119 false _let_130 true _let_170 false _let_172)) _let_163 :args (_let_169 true _let_168 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_164)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_165 _let_153 _let_167) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.additive_identity)) _let_145 (TRANS (SYMM (SYMM _let_167)) _let_154) :args _let_166) (TRUE_INTRO _let_165))) :args (_let_33 _let_36 _let_35))) :args (_let_36 _let_35 _let_33))) :args (true _let_164)) :args ((or _let_150 (not _let_35) _let_25 (not _let_33)))) _let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_73 _let_158 _let_35 (not _let_159)))) _let_92 _let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_2 tptp.x _let_23 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30)) _let_31 :args (_let_159 false _let_7)) :args (_let_35 false _let_72 false _let_157 false _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_33 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_45 _let_49 _let_47 _let_43 _let_37 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args _let_86) :args _let_155)) _let_156 :args (_let_44 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_151)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_152 _let_153) (SCOPE (TRUE_ELIM (TRANS (CONG _let_145 (SYMM _let_154) _let_145 :args _let_144) (TRUE_INTRO _let_152))) :args (_let_69 _let_36))) :args (_let_36 _let_69))) :args (true _let_151)) :args ((or _let_150 _let_48 (not _let_69)))) _let_149 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_74))) :args ((or _let_28 _let_73 _let_71 _let_69 (not _let_74)))) _let_95 _let_92 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.additive_identity tptp.x tptp.x _let_2 _let_34 tptp.additive_identity tptp.x QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_74 false _let_12)) :args (_let_69 false _let_27 false _let_72 false _let_70 false _let_74)) :args (_let_48 false _let_36 false _let_69)) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_42 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_53 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_2 tptp.multiplicative_identity _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_56)) _let_57 :args (_let_55 false _let_19)) :args (_let_42 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.x _let_2 tptp.x _let_1 tptp.additive_identity tptp.multiplicative_identity _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_50 false _let_14)) :args (_let_37 false _let_44 false _let_48 false _let_46 false _let_42 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.x tptp.additive_identity _let_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_40)) _let_41 :args (_let_39 false _let_20)) :args (_let_33 false _let_37 false _let_39)) :args (_let_25 false _let_36 false _let_35 false _let_33)) :args (_let_32 false _let_27 true _let_24 false _let_25)) _let_31 :args (false true _let_29 false _let_7)) :args (_let_22 _let_21 _let_20 _let_19 _let_18 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))) _let_15 _let_14 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.sum X V3 V4)) (tptp.product V1 V2 V4))) _let_13 _let_12 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum V3 X V4))) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))) (forall ((X $$unsorted)) (tptp.sum X X X)) (forall ((X $$unsorted)) (tptp.product X X X)) (forall ((X $$unsorted)) (tptp.sum X tptp.multiplicative_identity tptp.multiplicative_identity)) _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.product X Z X))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X (tptp.multiply X Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X (tptp.add X Y) X)) (forall ((X $$unsorted) (Y $$unsorted) (X_plus_Y $$unsorted) (Z $$unsorted) (Y_plus_Z $$unsorted) (X_plus_Y_plus_Z $$unsorted)) (or (not (tptp.sum X Y X_plus_Y)) (not (tptp.sum Y Z Y_plus_Z)) (not (tptp.sum X Y_plus_Z X_plus_Y_plus_Z)) (tptp.sum X_plus_Y Z X_plus_Y_plus_Z))) (forall ((X $$unsorted) (Y $$unsorted) (X_plus_Y $$unsorted) (Z $$unsorted) (Y_plus_Z $$unsorted) (X_plus_Y_plus_Z $$unsorted)) (or (not (tptp.sum X Y X_plus_Y)) (not (tptp.sum Y Z Y_plus_Z)) (tptp.sum X_plus_Y Z X_plus_Y_plus_Z) (not (tptp.sum X Y_plus_Z X_plus_Y_plus_Z)))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (X_times_Y $$unsorted) (Z $$unsorted) (Y_times_Z $$unsorted) (X_times_Y_times_Z $$unsorted)) (or (not (tptp.product X Y X_times_Y)) (not (tptp.product Y Z Y_times_Z)) (tptp.product X_times_Y Z X_times_Y_times_Z) (not (tptp.product X Y_times_Z X_times_Y_times_Z)))) _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.93/23.17 )
% 22.93/23.17 % SZS output end Proof for BOO012-3
% 22.93/23.17 % cvc5---1.0.5 exiting
% 22.93/23.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------