TSTP Solution File: FLD012-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : FLD012-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 22:28:08 EDT 2023

% Result   : Unsatisfiable 81.55s 77.09s
% Output   : Proof 81.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD012-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Aug 28 00:21:09 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eQRpXO9Zqu/cvc5---1.0.5_8083.p...
% 0.20/0.49  ------- get file name : TPTP file name is FLD012-4
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8083.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.56  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.22/15.58  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.17/20.60  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.36/25.65  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.46/30.68  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.47/35.71  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.53/40.74  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.53/45.85  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 55.58/50.87  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 60.58/55.91  --- Run --relevant-triggers --full-saturate-quant at 5...
% 65.60/60.93  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 70.69/66.30  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 80.85/76.34  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 81.55/77.09  % SZS status Unsatisfiable for FLD012-4
% 81.55/77.09  % SZS output start Proof for FLD012-4
% 81.55/77.09  (
% 81.55/77.09  (let ((_let_1 (tptp.multiplicative_inverse tptp.u))) (let ((_let_2 (tptp.product tptp.multiplicative_identity _let_1 tptp.v))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.multiplicative_inverse tptp.b))) (let ((_let_5 (tptp.multiplicative_inverse tptp.a))) (let ((_let_6 (tptp.product _let_5 _let_4 tptp.v))) (let ((_let_7 (tptp.product tptp.a tptp.b tptp.u))) (let ((_let_8 (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.defined tptp.v))) (let ((_let_13 (tptp.defined tptp.u))) (let ((_let_14 (tptp.defined tptp.b))) (let ((_let_15 (tptp.defined tptp.a))) (let ((_let_16 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.defined tptp.multiplicative_identity))) (let ((_let_19 (tptp.defined tptp.additive_identity))) (let ((_let_20 (forall ((A $$unsorted) (Z $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (C $$unsorted) (D $$unsorted)) (or (tptp.product A Z B) (not (tptp.sum X Y A)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)) (not (tptp.sum C D B)))))) (let ((_let_21 (forall ((C $$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_22 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.product Y X Z) (not (tptp.product X Y Z)))))) (let ((_let_23 (forall ((X $$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_24 (forall ((X $$unsorted)) (or (tptp.product tptp.multiplicative_identity X X) (not (tptp.defined X)))))) (let ((_let_25 (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.product U Z W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)))))) (let ((_let_26 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.product X V W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)))))) (let ((_let_27 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.sum Y X Z) (not (tptp.sum X Y Z)))))) (let ((_let_28 (forall ((X $$unsorted)) (or (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_29 (forall ((X $$unsorted)) (or (tptp.sum tptp.additive_identity X X) (not (tptp.defined X)))))) (let ((_let_30 (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_31 (tptp.sum tptp.additive_identity tptp.u tptp.u))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.product tptp.u tptp.multiplicative_identity tptp.u))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.sum tptp.additive_identity tptp.u tptp.additive_identity))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.u))) (let ((_let_40 (or _let_39 _let_38 _let_36 _let_34 _let_32))) (let ((_let_41 (_let_20))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (not _let_40))) (let ((_let_44 (tptp.product tptp.u tptp.v tptp.multiplicative_identity))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.product tptp.multiplicative_identity tptp.v tptp.v))) (let ((_let_47 (not _let_46))) (let ((_let_48 (not _let_39))) (let ((_let_49 (tptp.product 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_55 _let_54 _let_44 _let_57 (not _let_58)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_53 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_8 _let_82 _let_90 (not _let_93)))) (ASSUME :args (_let_9)) _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_93 false _let_23)) :args (_let_90 true _let_8 false _let_14 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b _let_4 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_92 false _let_22)) :args (_let_53 false _let_90 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_60 _let_62 _let_56 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_63 (not _let_89)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b tptp.a tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_89 false _let_22)) :args (_let_63 false _let_7 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_59 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_79 (not _let_83)))) _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_83 false _let_24)) :args (_let_79 false _let_14 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.b tptp.multiplicative_identity tptp.b 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_let_5 tptp.b tptp.b 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_66)) _let_67 :args (_let_65 false _let_25)) :args (_let_56 false _let_63 false _let_59 false _let_61 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.u tptp.v tptp.multiplicative_identity _let_5 tptp.b _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_58 false _let_26)) :args (_let_44 false _let_6 false _let_53 false _let_56 false _let_58)))) (let ((_let_95 (not _let_49))) (let ((_let_96 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_99 (or _let_98 _let_97 _let_95 _let_95 _let_95))) (let ((_let_100 (_let_21))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_103 (tptp.sum tptp.multiplicative_identity _let_102 tptp.additive_identity))) (let ((_let_104 (not _let_103))) (let ((_let_105 (not _let_98))) (let ((_let_106 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_107 (or _let_106 _let_105 _let_104 _let_104))) (let ((_let_108 (_let_30))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (tptp.sum _let_102 tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_103 _let_111))) (let ((_let_113 (_let_27))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (not _let_18))) (let ((_let_116 (or _let_110 _let_115))) (let ((_let_117 (_let_28))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (ASSUME :args (_let_18)))) (let ((_let_120 (not _let_106))) (let ((_let_121 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_122 (or _let_121 _let_120))) (let ((_let_123 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_124 (not _let_123))) (let ((_let_125 (not _let_121))) (let ((_let_126 (or _let_16 _let_97 _let_125 _let_124))) (let ((_let_127 (or _let_123 _let_115))) (let ((_let_128 (_let_29))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 ((not (= (tptp.defined X) false))))) (let ((_let_131 (not _let_19))) (let ((_let_132 (or _let_96 _let_131))) (let ((_let_133 (ASSUME :args (_let_19)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_131 _let_96 (not _let_132)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_132 false _let_29)) :args (_let_96 false _let_19 false _let_132)))) (let ((_let_135 (not _let_12))) (let ((_let_136 (or _let_46 _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_135 _let_46 (not _let_136)))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_136 false _let_24)) :args (_let_46 false _let_12 false _let_136)))) (let ((_let_138 (tptp.product tptp.multiplicative_identity tptp.u tptp.u))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_33 _let_139))) (let ((_let_141 (not _let_13))) (let ((_let_142 (or _let_138 _let_141))) (let ((_let_143 (ASSUME :args (_let_13)))) (let ((_let_144 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_35 _let_145))) (let ((_let_147 (or _let_144 _let_131))) (let ((_let_148 (tptp.product _let_1 tptp.u tptp.multiplicative_identity))) (let ((_let_149 (or _let_148 _let_37 _let_141))) (let ((_let_150 (not _let_148))) (let ((_let_151 (tptp.product _let_1 tptp.multiplicative_identity tptp.v))) (let ((_let_152 (or _let_151 _let_150 _let_45 _let_47))) (let ((_let_153 (not _let_151))) (let ((_let_154 (or _let_2 _let_153))) (let ((_let_155 (or _let_31 _let_141))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.additive_identity tptp.multiplicative_identity tptp.u tptp.additive_identity tptp.u tptp.additive_identity tptp.u QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_32 _let_38 _let_36 _let_34 _let_39 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_141 _let_31 (not _let_155)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_155 false _let_29)) :args (_let_31 false _let_13 false _let_155)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_141 _let_148 _let_37 (not _let_149)))) _let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_47 _let_150 _let_45 (not _let_152)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_2 _let_153 (not _let_154)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.multiplicative_identity _let_1 tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product Y X Z) true))))) :args _let_71)) _let_72 :args (_let_154 false _let_22)) :args (_let_153 true _let_2 false _let_154)) _let_137 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.multiplicative_identity tptp.v tptp.u tptp.multiplicative_identity tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_152 false _let_26)) :args (_let_150 true _let_151 false _let_46 false _let_44 false _let_152)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_76)) _let_77 :args (_let_149 false _let_23)) :args (_let_37 false _let_13 true _let_148 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_145 _let_35 (not _let_146)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_131 _let_144 (not _let_147)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_147 false _let_24)) :args (_let_144 false _let_19 false _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_146 false _let_22)) :args (_let_35 false _let_144 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_33 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_141 _let_138 (not _let_142)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_84)) _let_85 :args (_let_142 false _let_24)) :args (_let_138 false _let_13 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.u tptp.multiplicative_identity tptp.u QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_140 false _let_22)) :args (_let_33 false _let_138 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_47 _let_49 _let_45 _let_48 (not _let_50)))) _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_99))) :args ((or _let_97 _let_95 _let_98 (not _let_99)))) _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_107))) :args ((or _let_106 _let_104 _let_105 (not _let_107)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_120 (not _let_122)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_16 _let_97 _let_124 _let_125 (not _let_126)))) (ASSUME :args (_let_17)) _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_115 _let_123 (not _let_127)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_128)) _let_129 :args (_let_127 false _let_29)) :args (_let_123 false _let_18 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_109 :args (_let_126 false _let_30)) :args (_let_125 true _let_16 false _let_96 false _let_123 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_113)) _let_114 :args (_let_122 false _let_27)) :args (_let_120 true _let_121 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_103 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_110 (not _let_116)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_117)) _let_118 :args (_let_116 false _let_28)) :args (_let_110 false _let_18 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.multiplicative_identity _let_102 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum X Y Z) false))))) :args _let_113)) _let_114 :args (_let_112 false _let_27)) :args (_let_103 false _let_110 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_102 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_109 :args (_let_107 false _let_30)) :args (_let_105 true _let_106 false _let_103 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.v QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z D) false)) (not (= (tptp.product A Z B) false)) (not (= (tptp.product X Z C) false))))) :args _let_100)) _let_101 :args (_let_99 false _let_21)) :args (_let_95 false _let_96 true _let_98 false _let_99)) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.additive_identity tptp.v tptp.multiplicative_identity tptp.multiplicative_identity tptp.u tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_52 :args (_let_50 false _let_26)) :args (_let_48 false _let_46 true _let_49 false _let_44 false _let_50)) :args (_let_43 false _let_31 false _let_37 false _let_35 false _let_33 true _let_39)) _let_42 :args (false true _let_40 false _let_20)) :args (_let_30 (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_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_19 (forall ((X $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_18 (forall ((X $$unsorted)) (or (tptp.defined (tptp.multiplicative_inverse X)) (not (tptp.defined X)) (tptp.sum tptp.additive_identity X tptp.additive_identity))) (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_17 _let_15 _let_14 _let_13 _let_12 _let_11 _let_9 _let_7 _let_6 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 81.55/77.09  )
% 81.55/77.10  % SZS output end Proof for FLD012-4
% 81.55/77.10  % cvc5---1.0.5 exiting
% 81.55/77.10  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------