TSTP Solution File: RNG015-6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 : Thu Aug 31 13:49:29 EDT 2023
% Result : Unsatisfiable 53.78s 54.05s
% Output : Proof 53.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 02:47:53 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GreuqqfnDl/cvc5---1.0.5_15449.p...
% 0.22/0.52 ------- get file name : TPTP file name is RNG015-6
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15449.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.60/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.63/15.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.68/20.85 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.71/25.94 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.76/30.99 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.87/36.05 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.91/41.10 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.92/46.15 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.90/51.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 53.78/54.05 % SZS status Unsatisfiable for RNG015-6
% 53.78/54.05 % SZS output start Proof for RNG015-6
% 53.78/54.05 (
% 53.78/54.05 (let ((_let_1 (tptp.multiply tptp.x tptp.z))) (let ((_let_2 (tptp.additive_inverse _let_1))) (let ((_let_3 (tptp.multiply tptp.x tptp.y))) (let ((_let_4 (tptp.additive_inverse tptp.z))) (let ((_let_5 (tptp.add tptp.y _let_4))) (let ((_let_6 (= (tptp.multiply tptp.x _let_5) (tptp.add _let_3 _let_2)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_18 (tptp.add _let_4 tptp.z))) (let ((_let_19 (= tptp.additive_identity _let_18))) (let ((_let_20 (tptp.add _let_1 _let_2))) (let ((_let_21 (= tptp.additive_identity _let_20))) (let ((_let_22 (tptp.add _let_4 tptp.y))) (let ((_let_23 (= _let_5 _let_22))) (let ((_let_24 (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.additive_identity)))) (let ((_let_25 (tptp.add tptp.additive_identity tptp.x))) (let ((_let_26 (= tptp.x _let_25))) (let ((_let_27 (tptp.multiply tptp.x _let_4))) (let ((_let_28 (= (tptp.multiply tptp.x _let_22) (tptp.add _let_27 _let_3)))) (let ((_let_29 (tptp.multiply tptp.additive_identity tptp.y))) (let ((_let_30 (= (tptp.multiply _let_25 tptp.y) (tptp.add _let_29 _let_3)))) (let ((_let_31 (tptp.add tptp.additive_identity tptp.y))) (let ((_let_32 (= tptp.y _let_31))) (let ((_let_33 (= tptp.additive_identity _let_29))) (let ((_let_34 (tptp.additive_inverse tptp.y))) (let ((_let_35 (tptp.add tptp.y _let_34))) (let ((_let_36 (= tptp.additive_identity _let_35))) (let ((_let_37 (= _let_2 (tptp.add _let_2 tptp.additive_identity)))) (let ((_let_38 (tptp.add _let_2 tptp.y))) (let ((_let_39 (tptp.add _let_38 _let_34))) (let ((_let_40 (= (tptp.add _let_2 _let_35) _let_39))) (let ((_let_41 (tptp.add _let_34 _let_3))) (let ((_let_42 (tptp.add tptp.y _let_41))) (let ((_let_43 (= _let_42 (tptp.add _let_35 _let_3)))) (let ((_let_44 (= tptp.additive_identity (tptp.multiply tptp.x tptp.additive_identity)))) (let ((_let_45 (tptp.add _let_27 tptp.y))) (let ((_let_46 (tptp.add _let_45 _let_41))) (let ((_let_47 (= (tptp.add _let_27 _let_42) _let_46))) (let ((_let_48 (tptp.add tptp.y _let_2))) (let ((_let_49 (= _let_38 _let_48))) (let ((_let_50 (tptp.add _let_34 _let_38))) (let ((_let_51 (= _let_39 _let_50))) (let ((_let_52 (tptp.add _let_3 _let_34))) (let ((_let_53 (= _let_41 _let_52))) (let ((_let_54 (tptp.add _let_1 _let_38))) (let ((_let_55 (= _let_54 (tptp.add _let_20 tptp.y)))) (let ((_let_56 (= (tptp.add tptp.additive_identity _let_48) (tptp.add _let_31 _let_2)))) (let ((_let_57 (= (tptp.add _let_3 _let_50) (tptp.add _let_52 _let_38)))) (let ((_let_58 (tptp.add _let_27 _let_1))) (let ((_let_59 (= (tptp.add _let_27 _let_54) (tptp.add _let_58 _let_38)))) (let ((_let_60 (= _let_46 (tptp.add _let_41 _let_45)))) (let ((_let_61 (= _let_58 (tptp.multiply tptp.x _let_18)))) (let ((_let_62 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 (_let_9))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.add X Y)))) (let ((_let_70 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (tptp.x QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_77 (_let_11))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_10))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (tptp.y QUANTIFIERS_INST_ENUM))) (let ((_let_82 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_8))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 ((tptp.add X (tptp.add Y Z))))) (let ((_let_87 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (and _let_19 _let_21 _let_23 _let_24 _let_26 _let_28 _let_30 _let_32 _let_33 _let_36 _let_37 _let_40 _let_43 _let_44 _let_47 _let_49 _let_51 _let_53 _let_55 _let_56 _let_57 _let_59 _let_60 _let_61))) (let ((_let_90 (APPLY_UF tptp.add))) (let ((_let_91 (ASSUME :args (_let_37)))) (let ((_let_92 (ASSUME :args (_let_36)))) (let ((_let_93 (REFL :args (_let_2)))) (let ((_let_94 (ASSUME :args (_let_40)))) (let ((_let_95 (ASSUME :args (_let_51)))) (let ((_let_96 (REFL :args (_let_3)))) (let ((_let_97 (ASSUME :args (_let_57)))) (let ((_let_98 (ASSUME :args (_let_49)))) (let ((_let_99 (ASSUME :args (_let_32)))) (let ((_let_100 (ASSUME :args (_let_56)))) (let ((_let_101 (ASSUME :args (_let_44)))) (let ((_let_102 (APPLY_UF tptp.multiply))) (let ((_let_103 (ASSUME :args (_let_19)))) (let ((_let_104 (REFL :args (tptp.x)))) (let ((_let_105 (ASSUME :args (_let_61)))) (let ((_let_106 (ASSUME :args (_let_59)))) (let ((_let_107 (ASSUME :args (_let_55)))) (let ((_let_108 (REFL :args (tptp.y)))) (let ((_let_109 (ASSUME :args (_let_21)))) (let ((_let_110 (REFL :args (_let_27)))) (let ((_let_111 (ASSUME :args (_let_53)))) (let ((_let_112 (ASSUME :args (_let_60)))) (let ((_let_113 (ASSUME :args (_let_47)))) (let ((_let_114 (ASSUME :args (_let_43)))) (let ((_let_115 (ASSUME :args (_let_33)))) (let ((_let_116 (ASSUME :args (_let_24)))) (let ((_let_117 (CONG (SYMM _let_116) _let_108 :args _let_102))) (let ((_let_118 (ASSUME :args (_let_30)))) (let ((_let_119 (ASSUME :args (_let_26)))) (let ((_let_120 (ASSUME :args (_let_28)))) (let ((_let_121 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_92 _let_94 _let_95 _let_97 _let_111 _let_98 _let_99 _let_100 _let_101 _let_103 _let_105 _let_106 _let_107 _let_109 _let_112 _let_113 _let_114 _let_115 _let_116 _let_118 _let_119 _let_120 _let_121) (SCOPE (TRANS (CONG _let_104 (SYMM (SYMM _let_121)) :args _let_102) (SYMM (SYMM _let_120)) (CONG _let_110 (TRANS (CONG (SYMM (SYMM _let_119)) _let_108 :args _let_102) (SYMM (SYMM _let_118)) (CONG (TRANS (SYMM _let_117) (TRANS _let_117 (SYMM _let_115)) _let_92) _let_96 :args _let_90) (SYMM _let_114)) :args _let_90) (SYMM (SYMM _let_113)) (SYMM (SYMM _let_112)) (CONG (SYMM (SYMM _let_111)) (TRANS (CONG _let_110 (TRANS _let_99 (CONG (SYMM (SYMM _let_109)) _let_108 :args _let_90) (SYMM _let_107)) :args _let_90) (SYMM (SYMM _let_106)) (CONG (TRANS (SYMM (SYMM _let_105)) (CONG _let_104 (SYMM _let_103) :args _let_102) (SYMM _let_101)) (REFL :args (_let_38)) :args _let_90) (CONG (REFL :args (tptp.additive_identity)) _let_98 :args _let_90) (SYMM (SYMM _let_100)) (CONG (SYMM _let_99) _let_93 :args _let_90) (SYMM _let_98)) :args _let_90) (SYMM _let_97) (CONG _let_96 (TRANS (SYMM _let_95) (SYMM _let_94) (CONG _let_93 (SYMM _let_92) :args _let_90) (SYMM _let_91)) :args _let_90)) :args (_let_37 _let_36 _let_40 _let_51 _let_57 _let_53 _let_49 _let_32 _let_56 _let_44 _let_19 _let_61 _let_59 _let_55 _let_21 _let_60 _let_47 _let_43 _let_33 _let_24 _let_30 _let_26 _let_28 _let_23))) :args (_let_19 _let_21 _let_23 _let_24 _let_26 _let_28 _let_30 _let_32 _let_33 _let_36 _let_37 _let_40 _let_43 _let_44 _let_47 _let_49 _let_51 _let_53 _let_55 _let_56 _let_57 _let_59 _let_60 _let_61))) :args (true _let_89)) :args ((or _let_6 (not _let_19) (not _let_21) (not _let_23) (not _let_24) (not _let_26) (not _let_28) (not _let_30) (not _let_32) (not _let_33) (not _let_36) (not _let_37) (not _let_40) (not _let_43) (not _let_44) (not _let_47) (not _let_49) (not _let_51) (not _let_53) (not _let_55) (not _let_56) (not _let_57) (not _let_59) (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.x _let_4 tptp.z QUANTIFIERS_INST_CBQI_PROP)) :args _let_77))) _let_78 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_45 _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_60 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_27 _let_1 _let_38 QUANTIFIERS_INST_E_MATCHING _let_86)) :args _let_84)) _let_85 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_3 _let_34 _let_38 QUANTIFIERS_INST_E_MATCHING _let_86)) :args _let_84)) _let_85 :args (_let_57 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.additive_identity tptp.y _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_1 _let_2 tptp.y QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_55 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_34 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_53 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_38 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_51 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_2 tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_49 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_27 tptp.y _let_41 QUANTIFIERS_INST_E_MATCHING _let_86)) :args _let_84)) _let_85 :args (_let_47 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_76) :args (_let_87))) _let_88 :args (_let_44 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.y _let_34 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.add X Y) Z)))) :args _let_84)) _let_85 :args (_let_43 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_2 tptp.y _let_34 QUANTIFIERS_INST_E_MATCHING _let_86)) :args _let_84)) _let_85 :args (_let_40 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_2 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_82))) _let_83 :args (_let_37 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_81) :args _let_66)) _let_65 :args (_let_36 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args _let_81) :args _let_72)) _let_71 :args (_let_33 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_81) :args _let_75)) _let_74 :args (_let_32 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.additive_identity tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.add X Y) Z)))) :args _let_79)) _let_80 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.x _let_4 tptp.y QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.add Y Z))))) :args _let_77)) _let_78 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_76) :args _let_75)) _let_74 :args (_let_26 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_71 :args (_let_24 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.y _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_67)) _let_68 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args _let_66)) _let_65 :args (_let_21 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_62))) _let_63 :args (_let_19 false _let_62)) (ASSUME :args (_let_7)) :args (false false _let_61 false _let_60 false _let_59 false _let_57 false _let_56 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 false _let_44 false _let_43 false _let_40 false _let_37 false _let_36 false _let_33 false _let_32 false _let_30 false _let_28 false _let_26 false _let_24 false _let_23 false _let_21 false _let_19 true _let_6)) :args (_let_17 _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 53.78/54.05 )
% 53.78/54.06 % SZS output end Proof for RNG015-6
% 53.78/54.06 % cvc5---1.0.5 exiting
% 53.78/54.06 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------