TSTP Solution File: FLD041-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 22:28:21 EDT 2023
% Result : Unsatisfiable 30.80s 30.98s
% Output : Proof 30.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n012.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 00:12:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LBQEMJM5VD/cvc5---1.0.5_11318.p...
% 0.22/0.51 ------- get file name : TPTP file name is FLD041-4
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11318.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.28/10.54 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.36/15.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.58 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.41/25.61 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.44/30.64 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.80/30.98 % SZS status Unsatisfiable for FLD041-4
% 30.80/30.98 % SZS output start Proof for FLD041-4
% 30.80/30.99 (
% 30.80/30.99 (let ((_let_1 (tptp.sum tptp.additive_identity tptp.c tptp.additive_identity))) (let ((_let_2 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_3 (tptp.sum tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.sum tptp.additive_identity tptp.a tptp.additive_identity))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.defined tptp.c))) (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 (tptp.defined tptp.multiplicative_identity))) (let ((_let_13 (tptp.defined tptp.additive_identity))) (let ((_let_14 (forall ((C $$unsorted) (D $$unsorted) (B $$unsorted) (X $$unsorted) (Y $$unsorted) (A $$unsorted) (Z $$unsorted)) (or (tptp.sum C D B) (not (tptp.sum X Y A)) (not (tptp.product A Z B)) (not (tptp.product X Z C)) (not (tptp.product Y Z D)))))) (let ((_let_15 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.product Y X Z) (not (tptp.product X Y Z)))))) (let ((_let_16 (forall ((X $$unsorted)) (or (tptp.product (tptp.multiplicative_inverse X) X tptp.multiplicative_identity) (tptp.sum tptp.additive_identity X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_17 (forall ((X $$unsorted)) (or (tptp.product tptp.multiplicative_identity X X) (not (tptp.defined X)))))) (let ((_let_18 (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_19 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (tptp.sum Y X Z) (not (tptp.sum X Y Z)))))) (let ((_let_20 (forall ((X $$unsorted)) (or (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity) (not (tptp.defined X)))))) (let ((_let_21 (forall ((X $$unsorted)) (or (tptp.sum tptp.additive_identity X X) (not (tptp.defined X)))))) (let ((_let_22 (forall ((X $$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_23 (tptp.sum tptp.additive_identity tptp.c tptp.c))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_1))) (let ((_let_26 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.c))) (let ((_let_29 (or _let_28 _let_27 _let_25 _let_24))) (let ((_let_30 (_let_22))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_29))) (let ((_let_33 (not _let_28))) (let ((_let_34 (tptp.sum tptp.c tptp.additive_identity tptp.additive_identity))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.sum tptp.c tptp.c tptp.c))) (let ((_let_37 (or _let_36 _let_35 _let_33 _let_33))) (let ((_let_38 (tptp.multiplicative_inverse tptp.b))) (let ((_let_39 (tptp.product tptp.c _let_38 tptp.a))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_36))) (let ((_let_42 (tptp.sum tptp.a tptp.a tptp.a))) (let ((_let_43 (or _let_42 _let_41 _let_40 _let_40 _let_40))) (let ((_let_44 (_let_14))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.product tptp.a tptp.multiplicative_identity tptp.a))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.product tptp.b _let_38 tptp.multiplicative_identity))) (let ((_let_49 (not _let_48))) (let ((_let_50 (not _let_2))) (let ((_let_51 (or _let_39 _let_50 _let_49 _let_47))) (let ((_let_52 (_let_18))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.product _let_38 tptp.b tptp.multiplicative_identity))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_48 _let_55))) (let ((_let_57 (_let_15))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 ((not (= (tptp.product X Y Z) false))))) (let ((_let_60 (not _let_8))) (let ((_let_61 (or _let_54 _let_3 _let_60))) (let ((_let_62 (_let_16))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((not (= (tptp.sum tptp.additive_identity X tptp.additive_identity) true))))) (let ((_let_65 (tptp.product tptp.multiplicative_identity tptp.a tptp.a))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_46 _let_66))) (let ((_let_68 (not _let_9))) (let ((_let_69 (or _let_65 _let_68))) (let ((_let_70 (_let_17))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (ASSUME :args (_let_9)))) (let ((_let_73 (tptp.multiplicative_inverse tptp.a))) (let ((_let_74 (tptp.product tptp.a _let_73 tptp.multiplicative_identity))) (let ((_let_75 (not _let_74))) (let ((_let_76 (not _let_42))) (let ((_let_77 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_78 (or _let_77 _let_76 _let_75 _let_75 _let_75))) (let ((_let_79 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_80 (tptp.sum tptp.multiplicative_identity _let_79 tptp.additive_identity))) (let ((_let_81 (not _let_80))) (let ((_let_82 (not _let_77))) (let ((_let_83 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_84 (or _let_83 _let_82 _let_81 _let_81))) (let ((_let_85 (tptp.sum _let_79 tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_80 _let_86))) (let ((_let_88 (_let_19))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 ((not (= (tptp.sum X Y Z) false))))) (let ((_let_91 (not _let_12))) (let ((_let_92 (or _let_85 _let_91))) (let ((_let_93 (_let_20))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (ASSUME :args (_let_12)))) (let ((_let_96 (not _let_83))) (let ((_let_97 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_98 (or _let_97 _let_96))) (let ((_let_99 (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_97))) (let ((_let_102 (or _let_10 _let_27 _let_101 _let_100))) (let ((_let_103 (or _let_99 _let_91))) (let ((_let_104 (_let_21))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((not (= (tptp.defined X) false))))) (let ((_let_107 (not _let_13))) (let ((_let_108 (or _let_26 _let_107))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_26 (not _let_108)))) (ASSUME :args (_let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_108 false _let_21)) :args (_let_26 false _let_13 false _let_108)))) (let ((_let_110 (tptp.product _let_73 tptp.a tptp.multiplicative_identity))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_74 _let_111))) (let ((_let_113 (or _let_110 _let_5 _let_68))) (let ((_let_114 (or _let_34 _let_25))) (let ((_let_115 (ASSUME :args (_let_1)))) (let ((_let_116 (not _let_7))) (let ((_let_117 (or _let_23 _let_116))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.additive_identity tptp.additive_identity tptp.c tptp.additive_identity tptp.additive_identity tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_25 _let_27 _let_24 _let_28 _let_32))) _let_115 _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_23 (not _let_117)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_117 false _let_21)) :args (_let_23 false _let_7 false _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_37))) :args ((or _let_35 _let_33 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_25 _let_34 (not _let_114)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.c tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_114 false _let_19)) :args (_let_34 false _let_1 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_43))) :args ((or _let_42 _let_41 _let_40 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_78))) :args ((or _let_75 _let_77 _let_76 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_74 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_5 _let_68 _let_110 (not _let_113)))) (ASSUME :args (_let_6)) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_113 false _let_16)) :args (_let_110 true _let_5 false _let_9 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a _let_73 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_112 false _let_15)) :args (_let_74 false _let_110 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_84))) :args ((or _let_83 _let_81 _let_82 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_96 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_10 _let_27 _let_100 _let_101 (not _let_102)))) (ASSUME :args (_let_11)) _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_91 _let_99 (not _let_103)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_103 false _let_21)) :args (_let_99 false _let_12 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :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_30)) _let_31 :args (_let_102 false _let_22)) :args (_let_101 true _let_10 false _let_26 false _let_99 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_88)) _let_89 :args (_let_98 false _let_19)) :args (_let_96 true _let_97 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_80 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_85 (not _let_92)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_93)) _let_94 :args (_let_92 false _let_20)) :args (_let_85 false _let_12 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.multiplicative_identity _let_79 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_87 false _let_19)) :args (_let_80 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_79 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_84 false _let_22)) :args (_let_82 true _let_83 false _let_80 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.a tptp.a tptp.a _let_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product A Z B) false)) (not (= (tptp.product X Z C) false)) (not (= (tptp.product Y Z D) false))))) :args _let_44)) _let_45 :args (_let_78 false _let_14)) :args (_let_76 false _let_74 true _let_77 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_47 _let_49 _let_39 (not _let_51)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_46 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_65 (not _let_69)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.defined X) false))))) :args _let_70)) _let_71 :args (_let_69 false _let_17)) :args (_let_65 false _let_9 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_67 false _let_15)) :args (_let_46 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_48 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_3 _let_60 _let_54 (not _let_61)))) (ASSUME :args (_let_4)) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_61 false _let_16)) :args (_let_54 true _let_3 false _let_8 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.b _let_38 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_56 false _let_15)) :args (_let_48 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.c _let_38 tptp.a tptp.a tptp.b 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_52)) _let_53 :args (_let_51 false _let_18)) :args (_let_39 false _let_2 false _let_46 false _let_48 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a tptp.a tptp.a tptp.c tptp.c tptp.c _let_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_45 :args (_let_43 false _let_14)) :args (_let_41 true _let_42 false _let_39 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.c tptp.c tptp.c tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) _let_31 :args (_let_37 false _let_22)) :args (_let_33 false _let_34 true _let_36 false _let_37)) :args (_let_32 false _let_1 false _let_26 false _let_23 true _let_28)) _let_31 :args (false true _let_29 false _let_22)) :args (_let_22 (forall ((U $$unsorted) (Z $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (V $$unsorted)) (or (tptp.sum U Z W) (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)))) _let_21 _let_20 _let_19 (forall ((X $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted)) (or (tptp.product X V W) (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)))) _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((A $$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_13 (forall ((X $$unsorted)) (or (tptp.defined (tptp.additive_inverse X)) (not (tptp.defined X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.defined (tptp.multiply X Y)) (not (tptp.defined X)) (not (tptp.defined Y)))) _let_12 (forall ((X $$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_11 _let_9 _let_8 _let_7 _let_6 _let_4 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.80/30.99 )
% 30.80/30.99 % SZS output end Proof for FLD041-4
% 30.80/30.99 % cvc5---1.0.5 exiting
% 30.80/30.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------