TSTP Solution File: RNG021-6 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG021-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 13:49:31 EDT 2023

% Result   : Unsatisfiable 26.80s 27.02s
% Output   : Proof 26.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG021-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 02:38:13 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Mu7u1zysMN/cvc5---1.0.5_17020.p...
% 0.21/0.51  ------- get file name : TPTP file name is RNG021-6
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17020.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.80  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.54/15.83  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.49/20.85  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.95  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.80/27.02  % SZS status Unsatisfiable for RNG021-6
% 26.80/27.02  % SZS output start Proof for RNG021-6
% 26.80/27.02  (
% 26.80/27.02  (let ((_let_1 (tptp.associator tptp.v tptp.x tptp.y))) (let ((_let_2 (tptp.associator tptp.u tptp.x tptp.y))) (let ((_let_3 (tptp.add tptp.u tptp.v))) (let ((_let_4 (tptp.associator _let_3 tptp.x tptp.y))) (let ((_let_5 (= _let_4 (tptp.add _let_2 _let_1)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_8 (forall ((X $$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)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_16 (tptp.multiply tptp.x tptp.y))) (let ((_let_17 (tptp.multiply tptp.u _let_16))) (let ((_let_18 (tptp.additive_inverse _let_17))) (let ((_let_19 (tptp.multiply tptp.u tptp.x))) (let ((_let_20 (tptp.multiply _let_19 tptp.y))) (let ((_let_21 (tptp.add _let_20 _let_18))) (let ((_let_22 (= _let_2 _let_21))) (let ((_let_23 (tptp.multiply tptp.v _let_16))) (let ((_let_24 (tptp.additive_inverse _let_23))) (let ((_let_25 (tptp.multiply tptp.v tptp.x))) (let ((_let_26 (tptp.multiply _let_25 tptp.y))) (let ((_let_27 (tptp.add _let_26 _let_24))) (let ((_let_28 (= _let_1 _let_27))) (let ((_let_29 (tptp.multiply _let_3 _let_16))) (let ((_let_30 (tptp.additive_inverse _let_29))) (let ((_let_31 (tptp.multiply _let_3 tptp.x))) (let ((_let_32 (= _let_4 (tptp.add (tptp.multiply _let_31 tptp.y) _let_30)))) (let ((_let_33 (tptp.add _let_24 _let_23))) (let ((_let_34 (= tptp.additive_identity _let_33))) (let ((_let_35 (tptp.add _let_17 _let_18))) (let ((_let_36 (= tptp.additive_identity _let_35))) (let ((_let_37 (= tptp.additive_identity (tptp.add _let_29 _let_30)))) (let ((_let_38 (tptp.add _let_17 _let_23))) (let ((_let_39 (= _let_29 _let_38))) (let ((_let_40 (tptp.add _let_19 _let_25))) (let ((_let_41 (= _let_31 _let_40))) (let ((_let_42 (tptp.add _let_18 _let_20))) (let ((_let_43 (= _let_21 _let_42))) (let ((_let_44 (tptp.add _let_2 _let_26))) (let ((_let_45 (tptp.add _let_44 _let_24))) (let ((_let_46 (= (tptp.add _let_2 _let_27) _let_45))) (let ((_let_47 (tptp.add _let_20 _let_26))) (let ((_let_48 (= (tptp.multiply _let_40 tptp.y) _let_47))) (let ((_let_49 (= _let_45 (tptp.add _let_24 _let_44)))) (let ((_let_50 (tptp.add _let_23 _let_30))) (let ((_let_51 (tptp.add _let_17 _let_50))) (let ((_let_52 (= _let_51 (tptp.add _let_38 _let_30)))) (let ((_let_53 (tptp.add _let_18 _let_47))) (let ((_let_54 (= _let_53 (tptp.add _let_42 _let_26)))) (let ((_let_55 (tptp.add _let_50 _let_17))) (let ((_let_56 (= _let_51 _let_55))) (let ((_let_57 (tptp.add _let_24 _let_18))) (let ((_let_58 (tptp.add _let_57 _let_47))) (let ((_let_59 (= (tptp.add _let_24 _let_53) _let_58))) (let ((_let_60 (= _let_58 (tptp.add _let_47 _let_57)))) (let ((_let_61 (tptp.multiply tptp.additive_identity _let_16))) (let ((_let_62 (= tptp.additive_identity _let_61))) (let ((_let_63 (= tptp.additive_identity (tptp.multiply _let_16 tptp.additive_identity)))) (let ((_let_64 (= _let_18 (tptp.add _let_18 tptp.additive_identity)))) (let ((_let_65 (= _let_50 (tptp.add _let_50 tptp.additive_identity)))) (let ((_let_66 (= _let_30 (tptp.add _let_30 tptp.additive_identity)))) (let ((_let_67 (= (tptp.add _let_18 _let_61) (tptp.add _let_61 _let_18)))) (let ((_let_68 (= (tptp.add _let_30 _let_61) (tptp.add _let_61 _let_30)))) (let ((_let_69 (= (tptp.add _let_50 _let_35) (tptp.add _let_55 _let_18)))) (let ((_let_70 (= (tptp.add _let_24 _let_50) (tptp.add _let_33 _let_30)))) (let ((_let_71 (_let_7))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.associator X Y Z)))) (let ((_let_74 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.additive_inverse X)))) (let ((_let_80 (_let_10))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_83 (_let_9))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.add X Y)))) (let ((_let_86 (_let_8))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.add X (tptp.add Y Z))))) (let ((_let_89 ((tptp.add (tptp.add X Y) Z)))) (let ((_let_90 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_16 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_93 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 (and _let_22 _let_28 _let_32 _let_34 _let_36 _let_37 _let_39 _let_41 _let_43 _let_46 _let_48 _let_49 _let_52 _let_54 _let_56 _let_59 _let_60 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_68 _let_69 _let_70))) (let ((_let_99 (APPLY_UF tptp.add))) (let ((_let_100 (ASSUME :args (_let_28)))) (let ((_let_101 (ASSUME :args (_let_46)))) (let ((_let_102 (ASSUME :args (_let_49)))) (let ((_let_103 (ASSUME :args (_let_22)))) (let ((_let_104 (ASSUME :args (_let_43)))) (let ((_let_105 (ASSUME :args (_let_54)))) (let ((_let_106 (REFL :args (_let_24)))) (let ((_let_107 (ASSUME :args (_let_59)))) (let ((_let_108 (ASSUME :args (_let_60)))) (let ((_let_109 (ASSUME :args (_let_64)))) (let ((_let_110 (ASSUME :args (_let_62)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (REFL :args (_let_18)))) (let ((_let_113 (ASSUME :args (_let_67)))) (let ((_let_114 (ASSUME :args (_let_63)))) (let ((_let_115 (ASSUME :args (_let_37)))) (let ((_let_116 (REFL :args (_let_30)))) (let ((_let_117 (ASSUME :args (_let_39)))) (let ((_let_118 (ASSUME :args (_let_52)))) (let ((_let_119 (ASSUME :args (_let_56)))) (let ((_let_120 (ASSUME :args (_let_69)))) (let ((_let_121 (ASSUME :args (_let_36)))) (let ((_let_122 (REFL :args (_let_50)))) (let ((_let_123 (ASSUME :args (_let_65)))) (let ((_let_124 (ASSUME :args (_let_70)))) (let ((_let_125 (ASSUME :args (_let_34)))) (let ((_let_126 (ASSUME :args (_let_68)))) (let ((_let_127 (ASSUME :args (_let_66)))) (let ((_let_128 (ASSUME :args (_let_48)))) (let ((_let_129 (ASSUME :args (_let_41)))) (let ((_let_130 (ASSUME :args (_let_32)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_126 _let_123 _let_109 _let_110 _let_108 _let_107 _let_119 _let_113 _let_127 _let_114 _let_105 _let_103 _let_115 _let_128 _let_124 _let_104 _let_125 _let_121 _let_117 _let_100 _let_101 _let_118 _let_130 _let_129 _let_102) (SCOPE (TRANS (SYMM (SYMM _let_130)) (CONG (TRANS (CONG (SYMM (SYMM _let_129)) (REFL :args (tptp.y)) :args (APPLY_UF tptp.multiply)) (SYMM (SYMM _let_128))) _let_116 :args _let_99) (CONG (REFL :args (_let_47)) (TRANS (SYMM (SYMM _let_127)) (CONG _let_116 _let_110 :args _let_99) (SYMM (SYMM _let_126)) (CONG (TRANS _let_111 (SYMM (SYMM _let_125))) _let_116 :args _let_99) (SYMM _let_124) (CONG _let_106 (TRANS (SYMM (SYMM _let_123)) (CONG _let_122 _let_110 :args _let_99) (CONG _let_122 (TRANS _let_111 (SYMM (SYMM _let_121))) :args _let_99) (SYMM (SYMM _let_120)) (CONG (TRANS (TRANS (SYMM _let_119) (SYMM (SYMM _let_118)) (CONG (SYMM _let_117) _let_116 :args _let_99) (SYMM _let_115)) _let_114) _let_112 :args _let_99) (CONG (TRANS (SYMM _let_114) _let_110) _let_112 :args _let_99) (SYMM _let_113) (CONG _let_112 _let_111 :args _let_99) (SYMM _let_109)) :args _let_99)) :args _let_99) (SYMM _let_108) (SYMM _let_107) (CONG _let_106 (TRANS (SYMM (SYMM _let_105)) (CONG (TRANS (SYMM _let_104) (SYMM _let_103)) (REFL :args (_let_26)) :args _let_99)) :args _let_99) (SYMM _let_102) (SYMM _let_101) (CONG (REFL :args (_let_2)) (SYMM _let_100) :args _let_99)) :args (_let_69 _let_68 _let_65 _let_64 _let_62 _let_60 _let_59 _let_56 _let_67 _let_66 _let_63 _let_54 _let_22 _let_37 _let_48 _let_70 _let_43 _let_34 _let_36 _let_39 _let_28 _let_46 _let_52 _let_32 _let_41 _let_49))) :args (_let_22 _let_28 _let_32 _let_34 _let_36 _let_37 _let_39 _let_41 _let_43 _let_46 _let_48 _let_49 _let_52 _let_54 _let_56 _let_59 _let_60 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_68 _let_69 _let_70))) :args (true _let_98)) :args ((or _let_5 (not _let_22) (not _let_28) (not _let_32) (not _let_34) (not _let_36) (not _let_37) (not _let_39) (not _let_41) (not _let_43) (not _let_46) (not _let_48) (not _let_49) (not _let_52) (not _let_54) (not _let_56) (not _let_59) (not _let_60) (not _let_62) (not _let_63) (not _let_64) (not _let_65) (not _let_66) (not _let_67) (not _let_68) (not _let_69) (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_24 _let_23 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86)) _let_87 :args (_let_70 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_50 _let_17 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86)) _let_87 :args (_let_69 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_30 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_68 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_18 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_67 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_66 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_50 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_65 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_64 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_92) :args (_let_93))) _let_94 :args (_let_63 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_92) :args (_let_90))) _let_91 :args (_let_62 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_57 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_60 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_24 _let_18 _let_47 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_17 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_56 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_18 _let_20 _let_26 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_54 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_17 _let_23 _let_30 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_86)) _let_87 :args (_let_52 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_44 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_49 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_19 _let_25 tptp.y QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_2 _let_26 _let_24 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_46 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_20 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.u tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_41 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.u tptp.v _let_16 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_39 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_37 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_36 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_74))) _let_75 :args (_let_34 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_3 tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_32 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.v tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.u tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_22 false _let_7)) (ASSUME :args (_let_6)) :args (false false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_60 false _let_59 false _let_56 false _let_54 false _let_52 false _let_49 false _let_48 false _let_46 false _let_43 false _let_41 false _let_39 false _let_37 false _let_36 false _let_34 false _let_32 false _let_28 false _let_22 true _let_5)) :args ((forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) _let_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)))) _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.80/27.02  )
% 26.80/27.02  % SZS output end Proof for RNG021-6
% 26.80/27.02  % cvc5---1.0.5 exiting
% 26.80/27.03  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------