TSTP Solution File: FLD029-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : FLD029-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 22:28:16 EDT 2023

% Result   : Unsatisfiable 28.65s 28.93s
% Output   : Proof 28.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : FLD029-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 00:12:24 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xZ6MkMJ3vO/cvc5---1.0.5_26392.p...
% 0.21/0.51  ------- get file name : TPTP file name is FLD029-3
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26392.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.37/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.37/15.63  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.33/20.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.40/25.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.65/28.93  % SZS status Unsatisfiable for FLD029-3
% 28.65/28.93  % SZS output start Proof for FLD029-3
% 28.65/28.93  (
% 28.65/28.93  (let ((_let_1 (tptp.product tptp.multiplicative_identity tptp.u tptp.v))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.v tptp.b))) (let ((_let_4 (tptp.product tptp.a tptp.u tptp.b))) (let ((_let_5 (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.defined tptp.v))) (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 ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal tptp.additive_identity Z) (not (tptp.less_or_equal tptp.additive_identity X)) (not (tptp.less_or_equal tptp.additive_identity Y)) (not (tptp.product X Y Z)))))) (let ((_let_13 (forall ((U $$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_14 (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_15 (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_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.product X Y (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))))) (let ((_let_17 (tptp.defined tptp.multiplicative_identity))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))))) (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 ((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_31 (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_32 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.a))) (let ((_let_39 (or _let_38 _let_37 _let_35 _let_33))) (let ((_let_40 (_let_31))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (not _let_39))) (let ((_let_43 (not _let_38))) (let ((_let_44 (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.product tptp.additive_identity tptp.additive_identity tptp.a))) (let ((_let_47 (or _let_46 _let_37 _let_45 _let_45 _let_43))) (let ((_let_48 (_let_20))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (not _let_46))) (let ((_let_51 (tptp.sum tptp.a tptp.a tptp.a))) (let ((_let_52 (or _let_51 _let_37 _let_50 _let_50 _let_50))) (let ((_let_53 (_let_21))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((not (= (tptp.product Y Z D) false)) (not (= (tptp.product X Z C) false)) (not (= (tptp.product A Z B) false))))) (let ((_let_56 (not _let_4))) (let ((_let_57 (not _let_51))) (let ((_let_58 (tptp.sum tptp.b tptp.b tptp.b))) (let ((_let_59 (or _let_58 _let_57 _let_56 _let_56 _let_56))) (let ((_let_60 (tptp.multiplicative_inverse tptp.b))) (let ((_let_61 (tptp.product tptp.b _let_60 tptp.multiplicative_identity))) (let ((_let_62 (not _let_61))) (let ((_let_63 (not _let_58))) (let ((_let_64 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_65 (or _let_64 _let_63 _let_62 _let_62 _let_62))) (let ((_let_66 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_67 (tptp.sum tptp.multiplicative_identity _let_66 tptp.additive_identity))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_64))) (let ((_let_70 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_71 (or _let_70 _let_69 _let_68 _let_68))) (let ((_let_72 (tptp.sum _let_66 tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_67 _let_73))) (let ((_let_75 (_let_27))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((not (= (tptp.sum X Y Z) false))))) (let ((_let_78 (not _let_17))) (let ((_let_79 (or _let_72 _let_78))) (let ((_let_80 (_let_28))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (ASSUME :args (_let_17)))) (let ((_let_83 (not _let_70))) (let ((_let_84 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_87 (not _let_86))) (let ((_let_88 (not _let_84))) (let ((_let_89 (or _let_10 _let_37 _let_88 _let_87))) (let ((_let_90 (or _let_86 _let_78))) (let ((_let_91 (_let_29))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 ((not (= (tptp.defined X) false))))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_78 _let_86 (not _let_90)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_90 false _let_29)) :args (_let_86 false _let_17 false _let_90)))) (let ((_let_95 (not _let_19))) (let ((_let_96 (or _let_36 _let_95))) (let ((_let_97 (ASSUME :args (_let_19)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_36 (not _let_96)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_96 false _let_29)) :args (_let_36 false _let_19 false _let_96)))) (let ((_let_99 (tptp.product _let_60 tptp.b tptp.multiplicative_identity))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_61 _let_100))) (let ((_let_102 (_let_22))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (not _let_8))) (let ((_let_105 (or _let_99 _let_5 _let_104))) (let ((_let_106 (_let_23))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (ASSUME :args (_let_4)))) (let ((_let_109 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_110 (tptp.sum _let_109 _let_109 tptp.additive_identity))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.product tptp.additive_identity tptp.additive_identity _let_109))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_44 _let_37 _let_113 _let_113 _let_111))) (let ((_let_115 (tptp.sum tptp.additive_identity _let_109 tptp.additive_identity))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.sum tptp.additive_identity tptp.additive_identity _let_109))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_110 _let_118 _let_116 _let_37))) (let ((_let_120 (_let_30))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (tptp.less_or_equal _let_109 tptp.additive_identity))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.less_or_equal tptp.additive_identity _let_109))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_117 _let_125 _let_123))) (let ((_let_127 (_let_15))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (tptp.sum tptp.additive_identity _let_109 _let_109))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.less_or_equal tptp.additive_identity tptp.additive_identity))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_122 _let_132 _let_130 _let_116))) (let ((_let_134 (_let_13))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_115 _let_139 _let_137 _let_137 _let_113))) (let ((_let_141 (or _let_138 _let_87))) (let ((_let_142 (or _let_112 _let_95 _let_95))) (let ((_let_143 (_let_16))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_142))) :args ((or _let_95 _let_112 (not _let_142)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.defined X) false)) (not (= (tptp.defined Y) false))))) :args _let_143)) _let_144 :args (_let_142 false _let_16)) :args (_let_112 false _let_19 false _let_142)))) (let ((_let_146 (or _let_136 _let_95))) (let ((_let_147 (_let_24))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 ((not (= (tptp.defined X) false))))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_140))) :args ((or _let_137 _let_113 _let_139 _let_115 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_95 _let_136 (not _let_146)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_146 false _let_24)) :args (_let_136 false _let_19 false _let_146)) _let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_87 _let_138 (not _let_141)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_141 false _let_27)) :args (_let_138 false _let_86 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.additive_identity _let_109 tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_53)) _let_54 :args (_let_140 false _let_21)) :args (_let_115 false _let_136 false _let_112 false _let_138 false _let_140)))) (let ((_let_151 (tptp.defined _let_109))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_129 _let_152))) (let ((_let_154 (or _let_151 _let_95 _let_95))) (let ((_let_155 (_let_18))) (let ((_let_156 (ASSUME :args _let_155))) (let ((_let_157 (or _let_131 _let_131 _let_95 _let_95))) (let ((_let_158 (_let_14))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_157))) :args ((or _let_95 _let_131 (not _let_157)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.defined X) false)) (not (= (tptp.defined Y) false))))) :args _let_158)) _let_159 :args (_let_157 false _let_14)) :args (_let_131 false _let_19 false _let_157)))) (let ((_let_161 (or _let_124 _let_132 _let_132 _let_113))) (let ((_let_162 (_let_12))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (not _let_9))) (let ((_let_165 (tptp.multiplicative_inverse tptp.a))) (let ((_let_166 (tptp.product _let_165 tptp.a tptp.multiplicative_identity))) (let ((_let_167 (or _let_166 _let_34 _let_164))) (let ((_let_168 (tptp.product _let_165 tptp.b tptp.v))) (let ((_let_169 (not _let_168))) (let ((_let_170 (not _let_166))) (let ((_let_171 (or _let_1 _let_170 _let_56 _let_169))) (let ((_let_172 (tptp.product tptp.multiplicative_identity tptp.v tptp.v))) (let ((_let_173 (not _let_172))) (let ((_let_174 (not _let_3))) (let ((_let_175 (or _let_168 _let_170 _let_174 _let_173))) (let ((_let_176 (_let_25))) (let ((_let_177 (ASSUME :args _let_176))) (let ((_let_178 (not _let_7))) (let ((_let_179 (or _let_172 _let_178))) (let ((_let_180 (_let_26))) (let ((_let_181 (ASSUME :args _let_180))) (let ((_let_182 (ASSUME :args (_let_9)))) (let ((_let_183 (or _let_32 _let_164))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity tptp.additive_identity tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_37 _let_33 _let_35 _let_38 _let_42))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_164 _let_32 (not _let_183)))) _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_183 false _let_29)) :args (_let_32 false _let_9 false _let_183)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_164 _let_166 _let_34 (not _let_167)))) _let_182 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_174 _let_173 _let_170 _let_168 (not _let_175)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_165 tptp.b tptp.v tptp.a tptp.multiplicative_identity tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_180)) _let_181 :args (_let_175 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_172 (not _let_179)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_149)) :args _let_147)) _let_148 :args (_let_179 false _let_24)) :args (_let_172 false _let_7 false _let_179)) (ASSUME :args (_let_3)) (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_1 _let_56 _let_170 _let_169 (not _let_171)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.multiplicative_identity tptp.u tptp.v _let_165 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product U Z W) true)) (not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false))))) :args _let_176)) _let_177 :args (_let_171 false _let_25)) (ASSUME :args (_let_2)) _let_108 :args (_let_170 false _let_175 false _let_172 false _let_3 true _let_168 false _let_171 true _let_1 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_106)) _let_107 :args (_let_167 false _let_23)) :args (_let_34 false _let_9 true _let_166 false _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_47))) :args ((or _let_37 _let_45 _let_46 _let_43 (not _let_47)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_114))) :args ((or _let_37 _let_113 _let_44 _let_111 (not _let_114)))) _let_98 _let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_37 _let_110 _let_116 _let_118 (not _let_119)))) _let_98 _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_117 _let_123 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_161))) :args ((or _let_113 _let_132 _let_124 (not _let_161)))) _let_145 _let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_109 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y Z) false))))) :args _let_162)) _let_163 :args (_let_161 false _let_12)) :args (_let_124 false _let_112 false _let_131 false _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_122 _let_130 _let_116 (not _let_133)))) _let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_152 _let_129 (not _let_153)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_154))) :args ((or _let_95 _let_151 (not _let_154)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X Y)))) :args _let_155)) _let_156 :args (_let_154 false _let_18)) :args (_let_151 false _let_19 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_109 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_153 false _let_29)) :args (_let_129 false _let_151 false _let_153)) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_109 tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_109 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134)) _let_135 :args (_let_133 false _let_13)) :args (_let_122 false _let_131 false _let_129 false _let_115 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.additive_identity _let_109 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_or_equal X Y) false))))) :args _let_127)) _let_128 :args (_let_126 false _let_15)) :args (_let_117 false _let_124 false _let_122 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_109 _let_109 tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_121 :args (_let_119 false _let_30)) :args (_let_110 false _let_36 false _let_115 false _let_117 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_109 _let_109 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product A Z B) true)) (not (= (tptp.product X Z C) false)) (not (= (tptp.product Y Z D) false))))) :args _let_48)) _let_49 :args (_let_114 false _let_20)) :args (_let_44 false _let_36 false _let_112 false _let_110 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_52))) :args ((or _let_37 _let_50 _let_51 (not _let_52)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_59))) :args ((or _let_56 _let_57 _let_58 (not _let_59)))) _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_65))) :args ((or _let_62 _let_64 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_61 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_5 _let_104 _let_99 (not _let_105)))) (ASSUME :args (_let_6)) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) :args _let_106)) _let_107 :args (_let_105 false _let_23)) :args (_let_99 true _let_5 false _let_8 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.b _let_60 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X Y Z) false))))) :args _let_102)) _let_103 :args (_let_101 false _let_22)) :args (_let_61 false _let_99 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_71))) :args ((or _let_70 _let_68 _let_69 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_83 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_10 _let_37 _let_87 _let_88 (not _let_89)))) (ASSUME :args (_let_11)) _let_98 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :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_40)) _let_41 :args (_let_89 false _let_31)) :args (_let_88 true _let_10 false _let_36 false _let_86 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_75)) _let_76 :args (_let_85 false _let_27)) :args (_let_83 true _let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_67 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_72 (not _let_79)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_80)) _let_81 :args (_let_79 false _let_28)) :args (_let_72 false _let_17 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.multiplicative_identity _let_66 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_74 false _let_27)) :args (_let_67 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_41 :args (_let_71 false _let_31)) :args (_let_69 true _let_70 false _let_67 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.b tptp.b tptp.b _let_60 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_65 false _let_21)) :args (_let_63 false _let_61 true _let_64 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b tptp.b tptp.b tptp.a tptp.a tptp.a tptp.u QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_59 false _let_21)) :args (_let_57 false _let_4 true _let_58 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a tptp.a tptp.a tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_52 false _let_21)) :args (_let_50 false _let_36 true _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args (_let_47 false _let_20)) :args (_let_43 false _let_36 false _let_44 true _let_46 false _let_47)) :args (_let_42 false _let_36 false _let_32 false _let_34 true _let_38)) _let_41 :args (false true _let_39 false _let_31)) :args (_let_31 _let_30 _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 $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) _let_18 _let_17 (forall ((X $$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)))) _let_16 _let_15 (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_14 _let_13 _let_12 _let_11 _let_9 _let_8 (tptp.defined tptp.u) _let_7 _let_6 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.65/28.93  )
% 28.65/28.94  % SZS output end Proof for FLD029-3
% 28.65/28.94  % cvc5---1.0.5 exiting
% 28.65/28.94  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------