TSTP Solution File: FLD012-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : FLD012-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 118.90s 119.45s
% Output : Proof 118.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : FLD012-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.09 % Command : do_cvc5 %s %d
% 0.07/0.29 % Computer : n007.cluster.edu
% 0.07/0.29 % Model : x86_64 x86_64
% 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.29 % Memory : 8042.1875MB
% 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.29 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Sun Aug 27 23:36:27 EDT 2023
% 0.07/0.29 % CPUTime :
% 0.12/0.40 %----Proving TF0_NAR, FOF, or CNF
% 0.12/0.40 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gvj4KFa3KW/cvc5---1.0.5_27963.p...
% 0.12/0.41 ------- get file name : TPTP file name is FLD012-3
% 0.12/0.41 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27963.smt2...
% 0.12/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.16/10.49 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.20/15.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.23/20.53 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.23/25.57 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.26/30.60 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.37/35.62 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.35/40.65 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.48/45.78 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.53/50.83 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.57/55.86 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.59/60.92 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.67/66.01 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.61/76.05 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 85.75/86.09 --- Run --no-cbqi --full-saturate-quant at 10...
% 95.78/96.18 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 118.90/119.45 % SZS status Unsatisfiable for FLD012-3
% 118.90/119.45 % SZS output start Proof for FLD012-3
% 118.90/119.45 (
% 118.90/119.45 (let ((_let_1 (tptp.multiplicative_inverse tptp.b))) (let ((_let_2 (tptp.multiplicative_inverse tptp.a))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (tptp.multiply tptp.a tptp.b))) (let ((_let_5 (tptp.multiplicative_inverse _let_4))) (let ((_let_6 (tptp.product tptp.multiplicative_identity _let_5 _let_3))) (let ((_let_7 (not _let_6))) (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.b))) (let ((_let_13 (tptp.defined tptp.a))) (let ((_let_14 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_15 (not _let_14))) (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 (forall ((X $$unsorted)) (or (tptp.defined (tptp.multiplicative_inverse X)) (not (tptp.defined X)) (tptp.sum tptp.additive_identity X tptp.additive_identity))))) (let ((_let_18 (tptp.defined tptp.multiplicative_identity))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))))) (let ((_let_20 (tptp.defined tptp.additive_identity))) (let ((_let_21 (forall ((C $$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 _let_4 _let_4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.sum _let_4 tptp.additive_identity tptp.additive_identity))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.sum _let_4 _let_4 _let_4))) (let ((_let_36 (or _let_35 _let_34 _let_32 _let_32))) (let ((_let_37 (_let_30))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_36))) (let ((_let_40 (tptp.product _let_4 _let_3 tptp.multiplicative_identity))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_35))) (let ((_let_43 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_44 (or _let_43 _let_42 _let_41 _let_41 _let_41))) (let ((_let_45 (_let_21))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_48 (tptp.sum tptp.multiplicative_identity _let_47 tptp.additive_identity))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_43))) (let ((_let_51 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_52 (or _let_51 _let_50 _let_49 _let_49))) (let ((_let_53 (tptp.sum _let_47 tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_48 _let_54))) (let ((_let_56 (_let_27))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((not (= (tptp.sum X Y Z) false))))) (let ((_let_59 (not _let_18))) (let ((_let_60 (or _let_53 _let_59))) (let ((_let_61 (_let_28))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (ASSUME :args (_let_18)))) (let ((_let_64 (not _let_51))) (let ((_let_65 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_65))) (let ((_let_70 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_14 _let_71 _let_69 _let_68))) (let ((_let_73 (or _let_67 _let_59))) (let ((_let_74 (_let_29))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((not (= (tptp.defined X) false))))) (let ((_let_77 (not _let_20))) (let ((_let_78 (or _let_70 _let_77))) (let ((_let_79 (tptp.product tptp.b _let_1 tptp.multiplicative_identity))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.product tptp.a _let_3 _let_1))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.product tptp.b tptp.a _let_4))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_40 _let_84 _let_82 _let_80))) (let ((_let_86 (_let_25))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (tptp.product tptp.multiplicative_identity _let_1 _let_1))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.product _let_2 _let_1 _let_3))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.product tptp.a _let_2 tptp.multiplicative_identity))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_81 _let_93 _let_91 _let_89))) (let ((_let_95 (_let_26))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (tptp.product _let_2 tptp.a tptp.multiplicative_identity))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_92 _let_98))) (let ((_let_100 (_let_22))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((not (= (tptp.product X Y Z) false))))) (let ((_let_103 (not _let_13))) (let ((_let_104 (or _let_97 _let_10 _let_103))) (let ((_let_105 (_let_23))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((tptp.multiplicative_inverse X)))) (let ((_let_108 (ASSUME :args (_let_13)))) (let ((_let_109 (ASSUME :args (_let_11)))) (let ((_let_110 (tptp.defined _let_1))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_88 _let_111))) (let ((_let_113 (_let_24))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 ((not (= (tptp.defined X) false))))) (let ((_let_116 (not _let_12))) (let ((_let_117 (or _let_110 _let_116 _let_8))) (let ((_let_118 (_let_17))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 ((tptp.multiplicative_inverse X)))) (let ((_let_121 (ASSUME :args (_let_12)))) (let ((_let_122 (ASSUME :args (_let_9)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_8 _let_116 _let_110 (not _let_117)))) _let_122 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_118)) _let_119 :args (_let_117 false _let_17)) :args (_let_110 true _let_8 false _let_12 false _let_117)))) (let ((_let_124 (tptp.defined _let_2))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_90 _let_125 _let_111))) (let ((_let_127 (_let_16))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.multiply X Y)))) (let ((_let_130 (or _let_124 _let_103 _let_10))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_10 _let_103 _let_124 (not _let_130)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_118)) _let_119 :args (_let_130 false _let_17)) :args (_let_124 true _let_10 false _let_13 false _let_130)))) (let ((_let_132 (tptp.product _let_1 tptp.b tptp.multiplicative_identity))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_79 _let_133))) (let ((_let_135 (or _let_132 _let_8 _let_116))) (let ((_let_136 (tptp.product tptp.a tptp.b _let_4))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_83 _let_137))) (let ((_let_139 (or _let_136 _let_103 _let_116))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_80 _let_40 _let_82 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_83 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_103 _let_116 _let_136 (not _let_139)))) _let_108 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_139 false _let_16)) :args (_let_136 false _let_13 false _let_12 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.b tptp.a _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_138 false _let_22)) :args (_let_83 false _let_136 false _let_138)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_133 _let_79 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_8 _let_116 _let_132 (not _let_135)))) _let_122 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_135 false _let_23)) :args (_let_132 true _let_8 false _let_12 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.b _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_134 false _let_22)) :args (_let_79 false _let_132 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_91 _let_89 _let_93 _let_81 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_111 _let_90 (not _let_126)))) _let_131 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_126 false _let_16)) :args (_let_90 false _let_124 false _let_110 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_88 (not _let_112)))) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_113)) _let_114 :args (_let_112 false _let_24)) :args (_let_88 false _let_110 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_92 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_10 _let_103 _let_97 (not _let_104)))) _let_109 _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_104 false _let_23)) :args (_let_97 true _let_10 false _let_13 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.a _let_2 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_99 false _let_22)) :args (_let_92 false _let_97 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.a _let_3 _let_1 _let_2 tptp.multiplicative_identity _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95)) _let_96 :args (_let_94 false _let_26)) :args (_let_81 false _let_90 false _let_88 false _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_4 _let_3 tptp.multiplicative_identity tptp.b tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product U Z W) true)) (not (= (tptp.product X V W) false)) (not (= (tptp.product X Y U) false))))) :args _let_86)) _let_87 :args (_let_85 false _let_25)) :args (_let_40 false _let_83 false _let_79 false _let_81 false _let_85)))) (let ((_let_141 (tptp.defined _let_4))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_31 _let_142))) (let ((_let_144 (or _let_141 _let_103 _let_116))) (let ((_let_145 (_let_19))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((tptp.multiply X Y)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_103 _let_116 _let_141 (not _let_144)))) _let_108 _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_144 false _let_19)) :args (_let_141 false _let_13 false _let_12 false _let_144)))) (let ((_let_149 (tptp.sum tptp.additive_identity _let_4 tptp.additive_identity))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_33 _let_150))) (let ((_let_152 (tptp.product _let_5 _let_4 tptp.multiplicative_identity))) (let ((_let_153 (or _let_152 _let_149 _let_142))) (let ((_let_154 (tptp.product tptp.multiplicative_identity _let_3 _let_3))) (let ((_let_155 (not _let_154))) (let ((_let_156 (not _let_152))) (let ((_let_157 (tptp.product _let_5 tptp.multiplicative_identity _let_3))) (let ((_let_158 (or _let_157 _let_156 _let_41 _let_155))) (let ((_let_159 (tptp.defined _let_3))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_154 _let_160))) (let ((_let_162 (or _let_159 _let_125 _let_111))) (let ((_let_163 (not _let_157))) (let ((_let_164 (or _let_6 _let_163))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_4 _let_4 _let_4 tptp.additive_identity tptp.additive_identity _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_36))) :args ((or _let_34 _let_32 _let_35 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_150 _let_33 (not _let_151)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_152 _let_149 _let_142 (not _let_153)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_157 _let_156 _let_155 _let_41 (not _let_158)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_6 _let_163 (not _let_164)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.multiplicative_identity _let_5 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product Y X Z) true))))) :args _let_100)) _let_101 :args (_let_164 false _let_22)) :args (_let_163 true _let_6 false _let_164)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_160 _let_154 (not _let_161)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_159 _let_125 _let_111 (not _let_162)))) _let_131 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_162 false _let_19)) :args (_let_159 false _let_124 false _let_110 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_113)) _let_114 :args (_let_161 false _let_24)) :args (_let_154 false _let_159 false _let_161)) _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_5 tptp.multiplicative_identity _let_3 _let_4 tptp.multiplicative_identity _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95)) _let_96 :args (_let_158 false _let_26)) :args (_let_156 true _let_157 false _let_154 false _let_40 false _let_158)) _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_153 false _let_23)) :args (_let_149 true _let_152 false _let_141 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_4 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_151 false _let_27)) :args (_let_33 false _let_149 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_142 _let_31 (not _let_143)))) _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_143 false _let_29)) :args (_let_31 false _let_141 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_44))) :args ((or _let_41 _let_43 _let_42 (not _let_44)))) _let_140 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_52))) :args ((or _let_51 _let_49 _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_14 _let_71 _let_68 _let_69 (not _let_72)))) (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_70 (not _let_78)))) (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_74)) _let_75 :args (_let_78 false _let_29)) :args (_let_70 false _let_20 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_59 _let_67 (not _let_73)))) _let_63 (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_73 false _let_29)) :args (_let_67 false _let_18 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :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_37)) _let_38 :args (_let_72 false _let_30)) :args (_let_69 true _let_14 false _let_70 false _let_67 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_56)) _let_57 :args (_let_66 false _let_27)) :args (_let_64 true _let_65 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_48 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_53 (not _let_60)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_61)) _let_62 :args (_let_60 false _let_28)) :args (_let_53 false _let_18 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.multiplicative_identity _let_47 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_55 false _let_27)) :args (_let_48 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_47 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_38 :args (_let_52 false _let_30)) :args (_let_50 true _let_51 false _let_48 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_4 _let_4 _let_4 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) _let_46 :args (_let_44 false _let_21)) :args (_let_42 false _let_40 true _let_43 false _let_44)) :args (_let_39 false _let_33 false _let_31 true _let_35)) _let_38 :args (false true _let_36 false _let_30)) :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 (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 $$unsorted)) (or (tptp.defined (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_20 (forall ((X $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) _let_19 _let_18 _let_17 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.sum X Y (tptp.add X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_16 (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_15 _let_13 _let_12 _let_11 _let_9 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 118.90/119.45 )
% 118.90/119.45 % SZS output end Proof for FLD012-3
% 119.07/119.46 % cvc5---1.0.5 exiting
% 119.07/119.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------