TSTP Solution File: BOO005-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 18:06:13 EDT 2023
% Result : Unsatisfiable 11.96s 12.19s
% Output : Proof 11.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 08:25:50 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lDa9Y90wFm/cvc5---1.0.5_29184.p...
% 0.20/0.50 ------- get file name : TPTP file name is BOO005-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29184.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.09/10.52 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.96/12.19 % SZS status Unsatisfiable for BOO005-1
% 11.96/12.19 % SZS output start Proof for BOO005-1
% 11.96/12.19 (
% 11.96/12.19 (let ((_let_1 (tptp.sum tptp.x tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))))) (let ((_let_4 (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_5 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.additive_identity)))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity)))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.sum (tptp.inverse X) X tptp.multiplicative_identity)))) (let ((_let_8 (forall ((Y $$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_9 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum X V3 V4))))) (let ((_let_10 (forall ((X $$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 ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))))) (let ((_let_12 (forall ((X $$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 ((_let_13 (forall ((X $$unsorted)) (tptp.product X tptp.multiplicative_identity X)))) (let ((_let_14 (forall ((X $$unsorted)) (tptp.product tptp.multiplicative_identity X X)))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product Y X Z))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_21 (tptp.add tptp.multiplicative_identity tptp.x))) (let ((_let_22 (tptp.sum tptp.multiplicative_identity tptp.x _let_21))) (let ((_let_23 (tptp.inverse tptp.additive_identity))) (let ((_let_24 (= tptp.multiplicative_identity _let_23))) (let ((_let_25 (tptp.sum tptp.multiplicative_identity tptp.x tptp.multiplicative_identity))) (let ((_let_26 (= tptp.multiplicative_identity _let_21))) (let ((_let_27 (_let_20))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.multiplicative_identity tptp.x QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_22 false _let_20)))) (let ((_let_30 (tptp.sum tptp.additive_identity _let_23 _let_23))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.sum tptp.additive_identity _let_23 tptp.multiplicative_identity))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_24))) (let ((_let_35 (_let_4))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_16))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_6))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 _let_24 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_41) :args _let_39)) _let_40 :args (_let_32 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_23 QUANTIFIERS_INST_ENUM)) :args _let_37)) _let_38 :args (_let_30 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity _let_23 tptp.multiplicative_identity _let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_36 :args (_let_34 false _let_4)) :args (_let_24 false _let_32 false _let_30 false _let_34)))) (let ((_let_43 (not _let_25))) (let ((_let_44 (or _let_43 _let_1))) (let ((_let_45 (_let_18))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.sum tptp.additive_identity tptp.multiplicative_identity _let_21))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_26))) (let ((_let_52 (tptp.sum tptp.multiplicative_identity tptp.additive_identity _let_21))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_47))) (let ((_let_55 (tptp.multiply tptp.additive_identity tptp.x))) (let ((_let_56 (tptp.sum _let_23 _let_55 _let_21))) (let ((_let_57 (= tptp.additive_identity _let_55))) (let ((_let_58 (tptp.product tptp.multiplicative_identity _let_21 _let_21))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.product tptp.additive_identity tptp.x _let_55))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.sum _let_23 tptp.x _let_21))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.sum _let_23 tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_61 _let_59 _let_56))) (let ((_let_67 (_let_9))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (and _let_22 _let_24))) (let ((_let_70 (_let_22 _let_24))) (let ((_let_71 (ASSUME :args (_let_22)))) (let ((_let_72 (TRUE_INTRO _let_71))) (let ((_let_73 (APPLY_UF tptp.sum))) (let ((_let_74 (REFL :args (_let_21)))) (let ((_let_75 (REFL :args (tptp.x)))) (let ((_let_76 (ASSUME :args (_let_24)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (_let_14))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_19))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.additive_identity tptp.x QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_60 false _let_19)))) (let ((_let_83 (_let_7))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (tptp.sum tptp.additive_identity tptp.additive_identity _let_55))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86 _let_57))) (let ((_let_90 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_91 (tptp.sum _let_90 tptp.additive_identity _let_55))) (let ((_let_92 (= tptp.additive_identity _let_90))) (let ((_let_93 (tptp.sum tptp.additive_identity tptp.x tptp.x))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.product tptp.additive_identity tptp.x tptp.additive_identity))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.product tptp.additive_identity tptp.additive_identity _let_90))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96 _let_94 _let_61 _let_91))) (let ((_let_100 (_let_12))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (tptp.sum tptp.additive_identity _let_55 tptp.additive_identity))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_88 _let_94 _let_61 _let_103 _let_95))) (let ((_let_105 (_let_10))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (tptp.inverse tptp.x))) (let ((_let_108 (tptp.product tptp.x _let_107 tptp.additive_identity))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.sum _let_107 tptp.additive_identity _let_107))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.product tptp.x tptp.additive_identity _let_55))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_109 _let_113 _let_111 _let_109 _let_102))) (let ((_let_115 (or _let_61 _let_112))) (let ((_let_116 (_let_17))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (_let_15))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (_let_5))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (tptp.x QUANTIFIERS_INST_ENUM))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_122) :args _let_37)) _let_38 :args (_let_93 false _let_16)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_41) :args _let_37)) _let_38 :args (_let_87 false _let_16)))) (let ((_let_125 (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args _let_125) :args _let_80)) _let_81 :args (_let_97 false _let_19)))) (let ((_let_127 (tptp.product tptp.additive_identity tptp.multiplicative_identity _let_90))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128 _let_92))) (let ((_let_132 (_let_3))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (tptp.sum tptp.additive_identity tptp.additive_identity _let_90))) (let ((_let_135 (not _let_134))) (let ((_let_136 (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_130 _let_50 _let_135 _let_127))) (let ((_let_139 (_let_11))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_142 (tptp.product tptp.additive_identity _let_141 _let_90))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.sum tptp.additive_identity tptp.additive_identity _let_141))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_137 _let_137 _let_145 _let_143 _let_134))) (let ((_let_147 (= tptp.additive_identity _let_141))) (let ((_let_148 (or _let_88 _let_145 _let_147))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args _let_125) :args _let_27)) _let_28 :args (_let_144 false _let_20)))) (let ((_let_150 (and _let_97 _let_147))) (let ((_let_151 (_let_97 _let_147))) (let ((_let_152 (ASSUME :args (_let_97)))) (let ((_let_153 (ASSUME :args (_let_147)))) (let ((_let_154 (REFL :args (tptp.additive_identity)))) (let ((_let_155 (tptp.sum _let_90 tptp.additive_identity tptp.additive_identity))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_88 _let_88 _let_98 _let_156 _let_136))) (let ((_let_158 (_let_8))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (or _let_98 _let_130 _let_50 _let_130 _let_155))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_37)) _let_38 :args (_let_49 false _let_16)))) (let ((_let_162 (_let_13))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args _let_41) :args _let_162)) _let_163 :args (_let_129 false _let_13)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_157))) :args ((or _let_88 _let_136 _let_98 _let_156 (not _let_157)))) _let_124 _let_126 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_160))) :args ((or _let_98 _let_130 _let_50 _let_155 (not _let_160)))) _let_126 _let_164 _let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.additive_identity tptp.additive_identity _let_90 tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_100)) _let_101 :args (_let_160 false _let_12)) :args (_let_155 false _let_97 false _let_129 false _let_49 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_90 tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_158)) _let_159 :args (_let_157 false _let_8)) :args (_let_136 false _let_87 false _let_97 false _let_155 false _let_157)))) (let ((_let_166 (and _let_92 _let_91))) (let ((_let_167 (ASSUME :args (_let_91)))) (let ((_let_168 (ASSUME :args (_let_92)))) (let ((_let_169 (not _let_24))) (let ((_let_170 (and _let_24 _let_57 _let_56))) (let ((_let_171 (ASSUME :args (_let_56)))) (let ((_let_172 (ASSUME :args (_let_57)))) (let ((_let_173 (not _let_26))) (let ((_let_174 (not _let_22))) (let ((_let_175 (ASSUME :args (_let_43)))) (let ((_let_176 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_175 _let_76 _let_176 _let_71) :args (_let_22 _let_43 _let_24 _let_26)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_72) (CONG _let_76 _let_75 _let_74 :args _let_73) (CONG _let_77 _let_75 (SYMM _let_176) :args _let_73) (FALSE_INTRO _let_175))) :args (_let_43 _let_24 _let_26 _let_22)) :args ((not (and _let_22 _let_43 _let_24 _let_26)) SB_LITERAL))) (CONG (REFL :args (_let_174)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_25))) (REFL :args (_let_169)) (REFL :args (_let_173)) :args (or))) :args ((or _let_25 _let_174 _let_169 _let_173))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_48 _let_26 (not _let_51)))) _let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_47 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_170)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_171 _let_76 _let_172) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_77) (SYMM (SYMM _let_172)) _let_74 :args _let_73) (TRUE_INTRO _let_171))) :args (_let_56 _let_24 _let_57))) :args (_let_24 _let_57 _let_56))) :args (true _let_170)) :args ((or _let_169 (not _let_57) _let_52 (not _let_56)))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_57 _let_86 (not _let_89)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_166)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_167 _let_168) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_168)) _let_154 (REFL :args (_let_55)) :args _let_73) (TRUE_INTRO _let_167))) :args (_let_91 _let_92))) :args (_let_92 _let_91))) :args (true _let_166)) :args ((or (not _let_92) _let_85 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_92 _let_128 (not _let_131)))) _let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_130 _let_50 _let_135 _let_127 (not _let_138)))) _let_165 _let_164 _let_161 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_146))) :args ((or _let_137 _let_145 _let_134 _let_143 (not _let_146)))) _let_165 _let_149 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_150)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_152 _let_153) (SCOPE (TRUE_ELIM (TRANS (CONG _let_154 (SYMM _let_153) (REFL :args (_let_90)) :args (APPLY_UF tptp.product)) (TRUE_INTRO _let_152))) :args _let_151)) :args _let_151)) :args (true _let_150)) _let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_88 _let_145 _let_147 (not _let_148)))) _let_124 _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_141 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_36 :args (_let_148 false _let_4)) :args (_let_147 false _let_87 false _let_144 false _let_148)) :args (_let_142 false _let_97 false _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_141 _let_90 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_100)) _let_101 :args (_let_146 false _let_12)) :args (_let_134 false _let_136 false _let_144 false _let_142 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity _let_90 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_140 :args (_let_138 false _let_11)) :args (_let_127 false _let_136 false _let_129 false _let_49 false _let_134 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity _let_90 QUANTIFIERS_INST_ENUM)) :args _let_132)) _let_133 :args (_let_131 false _let_3)) :args (_let_92 false _let_129 false _let_127 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_94 _let_96 _let_61 _let_91 (not _let_99)))) _let_126 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_88 _let_94 _let_95 _let_61 _let_103 (not _let_104)))) _let_124 _let_123 _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_114))) :args ((or _let_109 _let_111 _let_102 _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_122) :args _let_120)) _let_121 :args (_let_108 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_107 QUANTIFIERS_INST_ENUM)) :args _let_118)) _let_119 :args (_let_110 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_61 _let_112 (not _let_115)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.additive_identity tptp.x _let_55 QUANTIFIERS_INST_ENUM)) :args _let_116)) _let_117 :args (_let_115 false _let_17)) :args (_let_112 false _let_60 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.x _let_107 tptp.additive_identity tptp.additive_identity _let_55 _let_107 tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_100)) _let_101 :args (_let_114 false _let_12)) :args (_let_102 false _let_108 false _let_110 false _let_112 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.x tptp.x _let_55 tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_105)) _let_106 :args (_let_104 false _let_10)) :args (_let_95 false _let_87 false _let_93 false _let_60 false _let_102 false _let_104)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.additive_identity tptp.additive_identity _let_90 tptp.x tptp.additive_identity tptp.x _let_55 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_100)) _let_101 :args (_let_99 false _let_12)) :args (_let_91 false _let_97 false _let_93 false _let_95 false _let_60 false _let_99)) :args (_let_85 false _let_92 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_55 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_89 false _let_4)) :args (_let_57 false _let_87 false _let_85 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_61 _let_59 _let_63 _let_56 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_41) :args _let_83)) _let_84 :args (_let_64 false _let_7)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_21 QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_79 :args (_let_58 false _let_14)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_76) (SCOPE (TRUE_ELIM (TRANS (CONG _let_77 _let_75 _let_74 :args _let_73) _let_72)) :args _let_70)) :args _let_70)) :args (true _let_69)) _let_29 _let_42 :args (_let_62 false _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_23 tptp.additive_identity tptp.multiplicative_identity tptp.x _let_21 _let_55 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_67)) _let_68 :args (_let_66 false _let_9)) :args (_let_56 false _let_64 false _let_60 false _let_58 false _let_62 false _let_66)) :args (_let_52 false _let_24 false _let_57 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.multiplicative_identity tptp.additive_identity _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) _let_46 :args (_let_54 false _let_18)) :args (_let_47 false _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_21 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_51 false _let_4)) :args (_let_26 false _let_49 false _let_47 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_1 _let_43 (not _let_44)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.multiplicative_identity tptp.x tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_46 :args (_let_44 false _let_18)) :args (_let_43 true _let_1 false _let_44)) _let_42 _let_29 :args (false false _let_26 true _let_25 false _let_24 false _let_22)) :args (_let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))) (forall ((Y $$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))) _let_10 _let_9 _let_8 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum V3 X V4))) _let_7 _let_6 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.additive_identity)) _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.96/12.20 )
% 11.96/12.20 % SZS output end Proof for BOO005-1
% 11.96/12.20 % cvc5---1.0.5 exiting
% 11.96/12.20 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------