TSTP Solution File: FLD026-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 22:28:15 EDT 2023

% Result   : Unsatisfiable 30.68s 30.92s
% Output   : Proof 30.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : FLD026-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.13  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 28 00:47:38 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.15/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.44  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ff4tGPk9np/cvc5---1.0.5_14886.p...
% 0.15/0.44  ------- get file name : TPTP file name is FLD026-3
% 0.15/0.44  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14886.smt2...
% 0.15/0.44  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.25/10.48  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.21/15.50  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.19/20.52  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.33/25.55  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.37/30.57  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.68/30.92  % SZS status Unsatisfiable for FLD026-3
% 30.68/30.92  % SZS output start Proof for FLD026-3
% 30.68/30.93  (
% 30.68/30.93  (let ((_let_1 (tptp.multiplicative_inverse tptp.b))) (let ((_let_2 (tptp.multiplicative_inverse tptp.a))) (let ((_let_3 (tptp.product tptp.multiplicative_identity _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.product tptp.multiplicative_identity tptp.a tptp.b))) (let ((_let_6 (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.defined tptp.b))) (let ((_let_9 (tptp.defined tptp.a))) (let ((_let_10 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((X $$unsorted)) (or (tptp.defined (tptp.multiplicative_inverse X)) (not (tptp.defined X)) (tptp.sum tptp.additive_identity X tptp.additive_identity))))) (let ((_let_13 (tptp.defined tptp.multiplicative_identity))) (let ((_let_14 (tptp.defined tptp.additive_identity))) (let ((_let_15 (forall ((C $$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_16 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.product Y X Z) (not (tptp.product X Y Z)))))) (let ((_let_17 (forall ((X $$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_18 (forall ((X $$unsorted)) (or (tptp.product tptp.multiplicative_identity X X) (not (tptp.defined X)))))) (let ((_let_19 (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.product U Z W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)))))) (let ((_let_20 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.sum Y X Z) (not (tptp.sum X Y Z)))))) (let ((_let_21 (forall ((X $$unsorted)) (or (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_22 (forall ((X $$unsorted)) (or (tptp.sum tptp.additive_identity X X) (not (tptp.defined X)))))) (let ((_let_23 (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 ((_let_24 (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_25 (tptp.product tptp.a tptp.multiplicative_identity tptp.a))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.product tptp.a tptp.multiplicative_identity tptp.b))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.sum tptp.additive_identity tptp.a tptp.b))) (let ((_let_34 (or _let_33 _let_32 _let_30 _let_28 _let_26))) (let ((_let_35 (_let_15))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_34))) (let ((_let_38 (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_33))) (let ((_let_41 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_6 _let_42 _let_40 _let_39))) (let ((_let_44 (_let_23))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_8))) (let ((_let_47 (tptp.product _let_1 tptp.b tptp.multiplicative_identity))) (let ((_let_48 (or _let_47 _let_38 _let_46))) (let ((_let_49 (_let_17))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not _let_47))) (let ((_let_52 (tptp.product tptp.b _let_1 tptp.multiplicative_identity))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (tptp.product tptp.b _let_2 tptp.multiplicative_identity))) (let ((_let_55 (tptp.product _let_1 tptp.multiplicative_identity _let_1))) (let ((_let_56 (not _let_55))) (let ((_let_57 (not _let_54))) (let ((_let_58 (or _let_3 _let_51 _let_57 _let_56))) (let ((_let_59 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_60 (not _let_52))) (let ((_let_61 (tptp.sum tptp.b tptp.b tptp.b))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_59 _let_62 _let_60 _let_60 _let_60))) (let ((_let_64 (tptp.product tptp.multiplicative_identity _let_1 _let_1))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_55 _let_65))) (let ((_let_67 (tptp.defined _let_1))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_64 _let_68))) (let ((_let_70 (or _let_67 _let_46 _let_38))) (let ((_let_71 (tptp.sum tptp.b tptp.additive_identity tptp.additive_identity))) (let ((_let_72 (or _let_71 _let_39))) (let ((_let_73 (tptp.sum tptp.additive_identity tptp.b tptp.b))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.b))) (let ((_let_76 (or _let_75 _let_42 _let_39 _let_74))) (let ((_let_77 (not _let_75))) (let ((_let_78 (not _let_71))) (let ((_let_79 (or _let_61 _let_78 _let_77 _let_77))) (let ((_let_80 (_let_16))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((not (= (tptp.product X Y Z) false))))) (let ((_let_83 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.product tptp.a _let_2 tptp.multiplicative_identity))) (let ((_let_86 (not _let_85))) (let ((_let_87 (not _let_5))) (let ((_let_88 (or _let_54 _let_87 _let_86 _let_84))) (let ((_let_89 (_let_19))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (tptp.product _let_2 tptp.a tptp.multiplicative_identity))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_85 _let_92))) (let ((_let_94 (not _let_9))) (let ((_let_95 (or _let_91 _let_6 _let_94))) (let ((_let_96 (ASSUME :args (_let_9)))) (let ((_let_97 (ASSUME :args (_let_7)))) (let ((_let_98 (not _let_13))) (let ((_let_99 (or _let_83 _let_98))) (let ((_let_100 (_let_18))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((not (= (tptp.defined X) false))))) (let ((_let_103 (ASSUME :args (_let_13)))) (let ((_let_104 (ASSUME :args (_let_5)))) (let ((_let_105 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_106 (tptp.sum tptp.multiplicative_identity _let_105 tptp.additive_identity))) (let ((_let_107 (not _let_106))) (let ((_let_108 (not _let_59))) (let ((_let_109 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_110 (or _let_109 _let_108 _let_107 _let_107))) (let ((_let_111 (_let_24))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (tptp.sum _let_105 tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_106 _let_114))) (let ((_let_116 (_let_20))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 ((not (= (tptp.sum X Y Z) false))))) (let ((_let_119 (or _let_113 _let_98))) (let ((_let_120 (_let_21))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (not _let_109))) (let ((_let_123 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_124 (or _let_123 _let_122))) (let ((_let_125 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_126 (not _let_125))) (let ((_let_127 (not _let_123))) (let ((_let_128 (or _let_10 _let_42 _let_127 _let_126))) (let ((_let_129 (or _let_125 _let_98))) (let ((_let_130 (_let_22))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((not (= (tptp.defined X) false))))) (let ((_let_133 (not _let_14))) (let ((_let_134 (or _let_41 _let_133))) (let ((_let_135 (ASSUME :args (_let_14)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_133 _let_41 (not _let_134)))) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_130)) _let_131 :args (_let_134 false _let_22)) :args (_let_41 false _let_14 false _let_134)))) (let ((_let_137 (ASSUME :args (_let_8)))) (let ((_let_138 (_let_12))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (or _let_73 _let_46))) (let ((_let_141 (tptp.product tptp.multiplicative_identity tptp.a tptp.a))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_25 _let_142))) (let ((_let_144 (or _let_141 _let_94))) (let ((_let_145 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_27 _let_146))) (let ((_let_148 (or _let_145 _let_133))) (let ((_let_149 (or _let_29 _let_87))) (let ((_let_150 (or _let_31 _let_94))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity tptp.a tptp.b tptp.additive_identity tptp.a tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_32 _let_30 _let_28 _let_26 _let_33 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_94 _let_31 (not _let_150)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_130)) _let_131 :args (_let_150 false _let_22)) :args (_let_31 false _let_9 false _let_150)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_87 _let_29 (not _let_149)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a tptp.multiplicative_identity tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_149 false _let_16)) :args (_let_29 false _let_5 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_146 _let_27 (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_133 _let_145 (not _let_148)))) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_148 false _let_18)) :args (_let_145 false _let_14 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_147 false _let_16)) :args (_let_27 false _let_145 false _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_142 _let_25 (not _let_143)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_94 _let_141 (not _let_144)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_144 false _let_18)) :args (_let_141 false _let_9 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_143 false _let_16)) :args (_let_25 false _let_141 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_6 _let_42 _let_39 _let_40 (not _let_43)))) _let_97 _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_46 _let_47 _let_38 (not _let_48)))) _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_79))) :args ((or _let_78 _let_77 _let_61 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.b tptp.b tptp.b tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_79 false _let_24)) (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_42 _let_74 _let_39 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.additive_identity tptp.additive_identity tptp.b tptp.additive_identity tptp.additive_identity tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_76 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_46 _let_73 (not _let_140)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_130)) _let_131 :args (_let_140 false _let_22)) :args (_let_73 false _let_8 false _let_140)) _let_136 (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_39 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.b tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_116)) _let_117 :args (_let_72 false _let_20)) (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_46 _let_38 _let_67 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) :args _let_138)) _let_139 :args (_let_70 false _let_12)) _let_137 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_64 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_69 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_55 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_1 tptp.multiplicative_identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_66 false _let_16)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_63))) :args ((or _let_60 _let_59 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.b tptp.b tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z D) false)) (not (= (tptp.product X Z C) false)) (not (= (tptp.product A Z B) false))))) :args _let_35)) _let_36 :args (_let_63 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_110))) :args ((or _let_109 _let_107 _let_108 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_123 _let_122 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_10 _let_42 _let_126 _let_127 (not _let_128)))) (ASSUME :args (_let_11)) _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_98 _let_125 (not _let_129)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_130)) _let_131 :args (_let_129 false _let_22)) :args (_let_125 false _let_13 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X V W) true)) (not (= (tptp.sum X Y U) false)) (not (= (tptp.sum Y Z V) false))))) :args _let_111)) _let_112 :args (_let_128 false _let_24)) :args (_let_127 true _let_10 false _let_41 false _let_125 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_116)) _let_117 :args (_let_124 false _let_20)) :args (_let_122 true _let_123 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_106 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_98 _let_113 (not _let_119)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_120)) _let_121 :args (_let_119 false _let_21)) :args (_let_113 false _let_13 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.multiplicative_identity _let_105 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_116)) _let_117 :args (_let_115 false _let_20)) :args (_let_106 false _let_113 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_105 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_110 false _let_24)) :args (_let_108 true _let_109 false _let_106 false _let_110)) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_3 _let_51 _let_57 _let_56 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.multiplicative_identity _let_2 _let_1 _let_1 tptp.b tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89)) _let_90 :args (_let_58 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_84 _let_86 _let_54 (not _let_88)))) _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_83 (not _let_99)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_99 false _let_18)) :args (_let_83 false _let_13 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_85 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_6 _let_94 _let_91 (not _let_95)))) _let_97 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) :args _let_49)) _let_50 :args (_let_95 false _let_17)) :args (_let_91 true _let_6 false _let_9 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.a _let_2 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_93 false _let_16)) :args (_let_85 false _let_91 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.b _let_2 tptp.multiplicative_identity tptp.multiplicative_identity tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product X V W) false)) (not (= (tptp.product Y Z V) false))))) :args _let_89)) _let_90 :args (_let_88 false _let_19)) :args (_let_54 false _let_5 false _let_83 false _let_85 false _let_88)) (ASSUME :args (_let_4)) (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_51 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.b _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_53 false _let_16)) :args (_let_51 false _let_79 false _let_75 false _let_76 false _let_73 false _let_41 false _let_71 false _let_72 false _let_38 false _let_70 false _let_8 true _let_67 false _let_69 true _let_64 false _let_66 true _let_61 false _let_63 true _let_59 true _let_55 false _let_58 false _let_54 true _let_3 false _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_49)) _let_50 :args (_let_48 false _let_17)) :args (_let_38 false _let_8 true _let_47 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.additive_identity tptp.a tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum U Z W) true)) (not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X V W) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_23)) :args (_let_40 true _let_6 false _let_41 false _let_38 false _let_43)) :args (_let_37 false _let_31 false _let_29 false _let_27 false _let_25 true _let_33)) _let_36 :args (false true _let_34 false _let_15)) :args (_let_24 _let_23 _let_22 _let_21 _let_20 (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_19 _let_18 _let_17 _let_16 _let_15 (forall ((A $$unsorted) (Z $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.product A Z B) (not (tptp.sum X Y A)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)) (not (tptp.sum C D B)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_14 (forall ((X $$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_13 _let_12 (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)))) (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)))) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Z) (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Y) (tptp.less_or_equal Y X) (not (tptp.defined X)) (not (tptp.defined Y)))) (forall ((U $$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)))) (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_11 _let_9 _let_8 _let_7 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.68/30.93  )
% 30.68/30.93  % SZS output end Proof for FLD026-3
% 30.68/30.93  % cvc5---1.0.5 exiting
% 30.68/30.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------