TSTP Solution File: FLD011-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 22:28:07 EDT 2023
% Result : Unsatisfiable 31.31s 31.52s
% Output : Proof 31.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n021.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 : Sun Aug 27 23:46:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8j1ruK1RhO/cvc5---1.0.5_1241.p...
% 0.21/0.49 ------- get file name : TPTP file name is FLD011-3
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1241.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.34/10.53 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.17/15.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.38/20.57 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.57/25.75 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.57/30.77 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 31.31/31.52 % SZS status Unsatisfiable for FLD011-3
% 31.31/31.52 % SZS output start Proof for FLD011-3
% 31.31/31.53 (
% 31.31/31.53 (let ((_let_1 (tptp.multiplicative_inverse tptp.a))) (let ((_let_2 (tptp.multiplicative_inverse _let_1))) (let ((_let_3 (tptp.product tptp.multiplicative_identity _let_2 tptp.a))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.defined tptp.a))) (let ((_let_8 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.less_or_equal U V) (not (tptp.less_or_equal X Y)) (not (tptp.sum X Z U)) (not (tptp.sum Y Z V)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Y) (tptp.less_or_equal Y X) (not (tptp.defined X)) (not (tptp.defined Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.sum tptp.additive_identity X Y) (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y X)))))) (let ((_let_13 (forall ((X $$unsorted)) (or (tptp.defined (tptp.multiplicative_inverse X)) (not (tptp.defined X)) (tptp.sum tptp.additive_identity X tptp.additive_identity))))) (let ((_let_14 (tptp.defined tptp.multiplicative_identity))) (let ((_let_15 (tptp.defined tptp.additive_identity))) (let ((_let_16 (forall ((A $$unsorted) (Z $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.product A Z B) (not (tptp.sum X Y A)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)) (not (tptp.sum C D B)))))) (let ((_let_17 (forall ((C $$unsorted) (D $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (A $$unsorted) (Z $$unsorted)) (or (tptp.sum C D B) (not (tptp.sum X Y A)) (not (tptp.product A Z B)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)))))) (let ((_let_18 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.product Y X Z) (not (tptp.product X Y Z)))))) (let ((_let_19 (forall ((X $$unsorted)) (or (tptp.product (tptp.multiplicative_inverse X) X tptp.multiplicative_identity) (tptp.sum tptp.additive_identity X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_20 (forall ((X $$unsorted)) (or (tptp.product tptp.multiplicative_identity X X) (not (tptp.defined X)))))) (let ((_let_21 (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.product U Z W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)))))) (let ((_let_22 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.product X V W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)))))) (let ((_let_23 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.sum Y X Z) (not (tptp.sum X Y Z)))))) (let ((_let_24 (forall ((X $$unsorted)) (or (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_25 (forall ((X $$unsorted)) (or (tptp.sum tptp.additive_identity X X) (not (tptp.defined X)))))) (let ((_let_26 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.sum X V W) (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)))))) (let ((_let_27 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.sum tptp.additive_identity tptp.additive_identity _let_1))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.sum tptp.multiplicative_identity _let_1 tptp.multiplicative_identity))) (let ((_let_32 (or _let_31 _let_28 _let_30 _let_28))) (let ((_let_33 (_let_26))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_32))) (let ((_let_36 (tptp.less_or_equal _let_1 tptp.additive_identity))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.less_or_equal tptp.additive_identity _let_1))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_29 _let_39 _let_37))) (let ((_let_41 (_let_12))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.sum tptp.additive_identity _let_1 tptp.additive_identity))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.sum tptp.additive_identity _let_1 _let_1))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.less_or_equal tptp.additive_identity tptp.additive_identity))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_36 _let_48 _let_46 _let_44))) (let ((_let_50 (_let_10))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (tptp.defined _let_1))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.product _let_2 _let_1 tptp.multiplicative_identity))) (let ((_let_55 (or _let_54 _let_43 _let_53))) (let ((_let_56 (_let_19))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((not (= (tptp.defined X) false))))) (let ((_let_59 (tptp.product tptp.multiplicative_identity tptp.a tptp.a))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.product _let_1 tptp.a tptp.multiplicative_identity))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_54))) (let ((_let_64 (tptp.product _let_2 tptp.multiplicative_identity tptp.a))) (let ((_let_65 (or _let_64 _let_63 _let_62 _let_60))) (let ((_let_66 (_let_22))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (not _let_7))) (let ((_let_69 (or _let_61 _let_5 _let_68))) (let ((_let_70 (ASSUME :args (_let_7)))) (let ((_let_71 (ASSUME :args (_let_6)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_5 _let_68 _let_61 (not _let_69)))) _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) :args _let_56)) _let_57 :args (_let_69 false _let_19)) :args (_let_61 true _let_5 false _let_7 false _let_69)))) (let ((_let_73 (or _let_59 _let_68))) (let ((_let_74 (_let_20))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((not (= (tptp.defined X) false))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_68 _let_59 (not _let_73)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_73 false _let_20)) :args (_let_59 false _let_7 false _let_73)))) (let ((_let_78 (not _let_64))) (let ((_let_79 (or _let_3 _let_78))) (let ((_let_80 (_let_18))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (or _let_52 _let_68 _let_5))) (let ((_let_83 (_let_13))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_5 _let_68 _let_52 (not _let_82)))) _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_82 false _let_13)) :args (_let_52 true _let_5 false _let_7 false _let_82)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_53 _let_54 _let_43 (not _let_55)))) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_60 _let_62 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_3 _let_78 (not _let_79)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.multiplicative_identity _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product Y X Z) true))))) :args _let_80)) _let_81 :args (_let_79 false _let_18)) :args (_let_78 true _let_3 false _let_79)) _let_77 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_2 tptp.multiplicative_identity tptp.a _let_1 tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66)) _let_67 :args (_let_65 false _let_22)) :args (_let_63 true _let_64 false _let_59 false _let_61 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_55 false _let_19)) :args (_let_43 false _let_52 true _let_54 false _let_55)))) (let ((_let_88 (or _let_45 _let_53))) (let ((_let_89 (_let_25))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((not (= (tptp.defined X) false))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_53 _let_45 (not _let_88)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_88 false _let_25)) :args (_let_45 false _let_52 false _let_88)))) (let ((_let_93 (not _let_15))) (let ((_let_94 (or _let_47 _let_47 _let_93 _let_93))) (let ((_let_95 (_let_11))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (ASSUME :args (_let_15)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_94))) :args ((or _let_93 _let_47 (not _let_94)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_or_equal X Y) true))))) :args _let_95)) _let_96 :args (_let_94 false _let_11)) :args (_let_47 false _let_15 false _let_94)))) (let ((_let_99 (or _let_38 _let_48 _let_44 _let_46))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 _let_29 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_38 _let_48 _let_46 _let_44 (not _let_99)))) _let_98 _let_92 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.additive_identity _let_1 tptp.additive_identity tptp.additive_identity _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_51 :args (_let_99 false _let_10)) :args (_let_38 false _let_47 false _let_45 false _let_43 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_46 _let_44 _let_36 (not _let_49)))) _let_98 _let_92 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_1 tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_or_equal U V) true)) (not (= (tptp.sum Y Z V) false)) (not (= (tptp.less_or_equal X Y) false))))) :args _let_50)) _let_51 :args (_let_49 false _let_10)) :args (_let_36 false _let_47 false _let_45 false _let_43 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.additive_identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_or_equal X Y) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_12)) :args (_let_29 false _let_38 false _let_36 false _let_40)))) (let ((_let_101 (not _let_31))) (let ((_let_102 (tptp.sum _let_1 tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_103 (or _let_102 _let_101))) (let ((_let_104 (_let_23))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((not (= (tptp.sum X Y Z) false))))) (let ((_let_107 (not _let_102))) (let ((_let_108 (tptp.sum tptp.multiplicative_identity tptp.a tptp.a))) (let ((_let_109 (or _let_108 _let_107 _let_60 _let_62 _let_60))) (let ((_let_110 (_let_17))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (tptp.multiplicative_inverse tptp.multiplicative_identity))) (let ((_let_113 (tptp.product tptp.a _let_112 tptp.a))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.product tptp.multiplicative_identity _let_112 _let_112))) (let ((_let_116 (not _let_115))) (let ((_let_117 (not _let_108))) (let ((_let_118 (tptp.sum _let_112 tptp.a tptp.a))) (let ((_let_119 (or _let_118 _let_117 _let_114 _let_116 _let_114))) (let ((_let_120 (tptp.additive_inverse tptp.a))) (let ((_let_121 (tptp.sum tptp.a _let_120 tptp.additive_identity))) (let ((_let_122 (not _let_121))) (let ((_let_123 (not _let_118))) (let ((_let_124 (tptp.sum _let_112 tptp.additive_identity tptp.additive_identity))) (let ((_let_125 (or _let_124 _let_123 _let_122 _let_122))) (let ((_let_126 (not (= (tptp.sum Y Z V) false)))) (let ((_let_127 (not (= (tptp.sum X V W) true)))) (let ((_let_128 (not _let_124))) (let ((_let_129 (tptp.sum tptp.additive_identity _let_112 tptp.additive_identity))) (let ((_let_130 (or _let_129 _let_128))) (let ((_let_131 ((not (= (tptp.sum Y X Z) true))))) (let ((_let_132 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_133 (not _let_132))) (let ((_let_134 (tptp.product _let_112 tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_135 (not _let_134))) (let ((_let_136 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_137 (not _let_136))) (let ((_let_138 (not _let_129))) (let ((_let_139 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_140 (or _let_139 _let_138 _let_137 _let_135 _let_133))) (let ((_let_141 (_let_16))) (let ((_let_142 (ASSUME :args _let_141))) (let ((_let_143 (not _let_139))) (let ((_let_144 (tptp.product _let_1 tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_145 (or _let_144 _let_30 _let_137 _let_143 _let_133))) (let ((_let_146 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_147 (not _let_146))) (let ((_let_148 (not _let_144))) (let ((_let_149 (tptp.product tptp.a _let_1 tptp.multiplicative_identity))) (let ((_let_150 (not _let_149))) (let ((_let_151 (tptp.product tptp.a tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_152 (or _let_151 _let_150 _let_148 _let_147))) (let ((_let_153 (not _let_151))) (let ((_let_154 (tptp.product tptp.multiplicative_identity tptp.a tptp.multiplicative_identity))) (let ((_let_155 (or _let_154 _let_150 _let_62 _let_153))) (let ((_let_156 (_let_21))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 ((not (= (tptp.product X Y U) false)) (not (= (tptp.product X V W) false)) (not (= (tptp.product Y Z V) false))))) (let ((_let_159 (not _let_154))) (let ((_let_160 (tptp.product tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_161 (or _let_160 _let_137 _let_159 _let_137))) (let ((_let_162 (not _let_160))) (let ((_let_163 (tptp.product tptp.a tptp.additive_identity tptp.additive_identity))) (let ((_let_164 (or _let_163 _let_162))) (let ((_let_165 (tptp.product tptp.additive_identity tptp.a tptp.multiplicative_identity))) (let ((_let_166 (or _let_165 _let_44 _let_162 _let_62 _let_133))) (let ((_let_167 (tptp.product tptp.a tptp.multiplicative_identity tptp.a))) (let ((_let_168 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.a))) (let ((_let_169 (not _let_167))) (let ((_let_170 (not _let_163))) (let ((_let_171 (or _let_168 _let_170 _let_143 _let_169))) (let ((_let_172 (not _let_165))) (let ((_let_173 (or _let_139 _let_162 _let_169 _let_172))) (let ((_let_174 ((not (= (tptp.product X Y Z) false))))) (let ((_let_175 (not _let_14))) (let ((_let_176 (or _let_132 _let_175))) (let ((_let_177 (ASSUME :args (_let_14)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_175 _let_132 (not _let_176)))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_176 false _let_25)) :args (_let_132 false _let_14 false _let_176)))) (let ((_let_179 (or _let_167 _let_60))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_60 _let_167 (not _let_179)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_80)) _let_81 :args (_let_179 false _let_18)) :args (_let_167 false _let_59 false _let_179)))) (let ((_let_181 (not _let_168))) (let ((_let_182 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_183 (not _let_182))) (let ((_let_184 (tptp.sum tptp.a tptp.additive_identity tptp.additive_identity))) (let ((_let_185 (or _let_184 _let_183 _let_137 _let_181 _let_137))) (let ((_let_186 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_187 (not _let_186))) (let ((_let_188 (or _let_136 _let_187))) (let ((_let_189 (or _let_186 _let_93))) (let 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_89)) _let_90 :args (_let_191 false _let_25)) :args (_let_182 false _let_15 false _let_191)))) (let ((_let_193 (not _let_184))) (let ((_let_194 (or _let_5 _let_193))) (let ((_let_195 (or _let_149 _let_62))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_62 _let_149 (not _let_195)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_80)) _let_81 :args (_let_195 false _let_18)) :args (_let_149 false _let_61 false _let_195)))) (let ((_let_197 (or _let_146 _let_175))) (let ((_let_198 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_199 (or _let_134 _let_198 _let_175))) (let ((_let_200 (not _let_198))) (let ((_let_201 (or _let_8 _let_183 _let_200 _let_133))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_8 _let_183 _let_133 _let_200 (not _let_201)))) (ASSUME :args (_let_9)) _let_192 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING (_let_127 (not (= (tptp.sum X Y U) false)) _let_126))) :args _let_33)) _let_34 :args (_let_201 false _let_26)) :args (_let_200 true _let_8 false _let_182 false _let_132 false _let_201)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_175 _let_134 _let_198 (not _let_199)))) _let_177 _let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_199 false _let_19)) :args (_let_134 false _let_14 true _let_198 false _let_199)))) (let ((_let_204 (tptp.sum _let_120 tptp.a tptp.additive_identity))) (let ((_let_205 (not _let_204))) (let ((_let_206 (or _let_121 _let_205))) (let ((_let_207 (or _let_204 _let_68))) (let ((_let_208 (_let_24))) (let ((_let_209 (ASSUME :args _let_208))) (let ((_let_210 (tptp.product tptp.multiplicative_identity _let_112 tptp.multiplicative_identity))) (let ((_let_211 (not _let_210))) (let ((_let_212 (or _let_113 _let_169 _let_211 _let_169))) (let ((_let_213 (or _let_210 _let_135))) (let ((_let_214 (tptp.defined _let_112))) (let ((_let_215 (not _let_214))) (let ((_let_216 (or _let_115 _let_215))) (let ((_let_217 (or _let_214 _let_175 _let_198))) (let ((_let_218 (or _let_27 _let_133))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.multiplicative_identity _let_1 tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_32))) :args ((or _let_28 _let_31 _let_30 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_133 _let_27 (not _let_218)))) _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_218 false _let_23)) :args (_let_27 false _let_132 false _let_218)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_101 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_109))) :args ((or _let_60 _let_62 _let_108 _let_107 (not _let_109)))) _let_77 _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_119))) :args ((or _let_116 _let_117 _let_114 _let_118 (not _let_119)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_215 _let_115 (not _let_216)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_175 _let_198 _let_214 (not _let_217)))) _let_177 _let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_217 false _let_13)) :args (_let_214 false _let_14 true _let_198 false _let_217)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_216 false _let_20)) :args (_let_115 false _let_214 false _let_216)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_212))) :args ((or _let_169 _let_211 _let_113 (not _let_212)))) _let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_135 _let_210 (not _let_213)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.multiplicative_identity _let_112 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_80)) _let_81 :args (_let_213 false _let_18)) :args (_let_210 false _let_134 false _let_213)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.a _let_112 tptp.a tptp.a tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_158)) :args _let_156)) _let_157 :args (_let_212 false _let_21)) :args (_let_113 false _let_167 false _let_210 false _let_212)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_125))) :args ((or _let_122 _let_124 _let_123 (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_205 _let_121 (not _let_206)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_68 _let_204 (not _let_207)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_208)) _let_209 :args (_let_207 false _let_24)) :args (_let_204 false _let_7 false _let_207)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.a _let_120 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_206 false _let_23)) :args (_let_121 false _let_204 false _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_128 (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_133 _let_135 _let_137 _let_139 _let_138 (not _let_140)))) _let_178 _let_203 _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_133 _let_137 _let_143 _let_144 _let_30 (not _let_145)))) _let_178 _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_147 _let_150 _let_151 _let_148 (not _let_152)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_175 _let_146 (not _let_197)))) _let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_197 false _let_20)) :args (_let_146 false _let_14 false _let_197)) _let_196 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_62 _let_150 _let_153 _let_154 (not _let_155)))) _let_72 _let_196 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_161))) :args ((or _let_137 _let_160 _let_159 (not _let_161)))) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_169 _let_162 _let_139 _let_172 (not _let_173)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity tptp.a tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_157 :args (_let_173 false _let_21)) _let_180 (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_169 _let_168 _let_143 _let_170 (not _let_171)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.additive_identity tptp.multiplicative_identity tptp.a tptp.a tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_157 :args (_let_171 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_185))) :args ((or _let_184 _let_183 _let_137 _let_181 (not _let_185)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_5 _let_193 (not _let_194)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.additive_identity tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_104)) _let_105 :args (_let_194 false _let_23)) :args (_let_193 true _let_5 false _let_194)) _let_192 _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.a tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum C D B) true)) (not (= (tptp.sum X Y A) false)) (not (= (tptp.product A Z B) false))))) :args _let_110)) _let_111 :args (_let_185 false _let_17)) :args (_let_181 true _let_184 false _let_182 false _let_136 false _let_185)) _let_180 (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_133 _let_62 _let_44 _let_162 _let_165 (not _let_166)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.additive_identity tptp.a tptp.multiplicative_identity tptp.additive_identity _let_1 tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_141)) _let_142 :args (_let_166 false _let_16)) _let_87 _let_72 _let_178 (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_162 _let_163 (not _let_164)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_174)) :args _let_80)) _let_81 :args (_let_164 false _let_18)) :args (_let_162 false _let_173 false _let_167 true _let_139 false _let_171 true _let_168 false _let_167 false _let_165 false _let_166 false _let_43 false _let_61 false _let_132 false _let_163 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.additive_identity tptp.a tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_157 :args (_let_161 false _let_21)) :args (_let_159 false _let_136 true _let_160 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.multiplicative_identity tptp.a tptp.multiplicative_identity tptp.a _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_158)) :args _let_156)) _let_157 :args (_let_155 false _let_21)) :args (_let_153 false _let_61 false _let_149 true _let_154 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a tptp.multiplicative_identity tptp.multiplicative_identity _let_1 tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product X V W) true)) (not (= (tptp.product U Z W) false))))) :args _let_66)) _let_67 :args (_let_152 false _let_22)) :args (_let_148 false _let_146 false _let_149 true _let_151 false _let_152)) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_1 tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_141)) _let_142 :args (_let_145 false _let_16)) :args (_let_143 false _let_132 false _let_136 true _let_144 false _let_29 false _let_145)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity _let_112 tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_141)) _let_142 :args (_let_140 false _let_16)) :args (_let_138 false _let_132 false _let_134 false _let_136 true _let_139 false _let_140)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.additive_identity _let_112 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_104)) _let_105 :args (_let_130 false _let_23)) :args (_let_128 true _let_129 false _let_130)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_112 tptp.additive_identity tptp.additive_identity tptp.a tptp.a _let_120 QUANTIFIERS_INST_E_MATCHING (_let_127 _let_126 (not (= (tptp.sum U Z W) false))))) :args _let_33)) _let_34 :args (_let_125 false _let_26)) :args (_let_123 false _let_121 true _let_124 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_112 tptp.a tptp.a tptp.multiplicative_identity tptp.a tptp.a _let_112 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) _let_111 :args (_let_119 false _let_17)) :args (_let_117 false _let_115 false _let_113 true _let_118 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (tptp.multiplicative_identity tptp.a tptp.a _let_1 tptp.multiplicative_identity tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) _let_111 :args (_let_109 false _let_17)) :args (_let_107 false _let_59 false _let_61 true _let_108 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_103 false _let_23)) :args (_let_101 true _let_102 false _let_103)) _let_100 :args (_let_35 false _let_27 true _let_31 false _let_29)) _let_34 :args (false true _let_32 false _let_26)) :args (_let_26 (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.sum U Z W) (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)))) _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_15 (forall ((X $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.sum X Y (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.product X Y (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_12 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Z) (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y Z)))) _let_11 _let_10 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal tptp.additive_identity Z) (not (tptp.less_or_equal tptp.additive_identity X)) (not (tptp.less_or_equal tptp.additive_identity Y)) (not (tptp.product X Y Z)))) _let_9 _let_7 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 31.31/31.53 )
% 31.31/31.53 % SZS output end Proof for FLD011-3
% 31.31/31.53 % cvc5---1.0.5 exiting
% 31.31/31.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------