TSTP Solution File: RNG020-6 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG020-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : Thu Aug 31 13:49:30 EDT 2023
% Result : Unsatisfiable 26.33s 26.58s
% Output : Proof 26.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG020-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n012.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 01:25:25 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OWdDuA64cl/cvc5---1.0.5_29193.p...
% 0.21/0.51 ------- get file name : TPTP file name is RNG020-6
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29193.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.45/10.77 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.44/15.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.62/20.83 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.65/25.90 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.33/26.58 % SZS status Unsatisfiable for RNG020-6
% 26.33/26.58 % SZS output start Proof for RNG020-6
% 26.36/26.58 (
% 26.36/26.58 (let ((_let_1 (tptp.associator tptp.x tptp.v tptp.y))) (let ((_let_2 (tptp.associator tptp.x tptp.u tptp.y))) (let ((_let_3 (tptp.add tptp.u tptp.v))) (let ((_let_4 (tptp.associator tptp.x _let_3 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) (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.multiply tptp.u tptp.y))) (let ((_let_19 (tptp.multiply tptp.x _let_18))) (let ((_let_20 (tptp.additive_inverse _let_19))) (let ((_let_21 (tptp.multiply tptp.x tptp.u))) (let ((_let_22 (tptp.multiply _let_21 tptp.y))) (let ((_let_23 (tptp.add _let_22 _let_20))) (let ((_let_24 (= _let_2 _let_23))) (let ((_let_25 (tptp.multiply tptp.v tptp.y))) (let ((_let_26 (tptp.multiply tptp.x _let_25))) (let ((_let_27 (tptp.additive_inverse _let_26))) (let ((_let_28 (tptp.multiply tptp.x tptp.v))) (let ((_let_29 (tptp.multiply _let_28 tptp.y))) (let ((_let_30 (tptp.add _let_29 _let_27))) (let ((_let_31 (= _let_1 _let_30))) (let ((_let_32 (tptp.multiply _let_3 tptp.y))) (let ((_let_33 (tptp.multiply tptp.x _let_32))) (let ((_let_34 (tptp.additive_inverse _let_33))) (let ((_let_35 (tptp.multiply tptp.x _let_3))) (let ((_let_36 (= _let_4 (tptp.add (tptp.multiply _let_35 tptp.y) _let_34)))) (let ((_let_37 (tptp.add _let_27 _let_26))) (let ((_let_38 (= tptp.additive_identity _let_37))) (let ((_let_39 (= tptp.additive_identity (tptp.add _let_34 _let_33)))) (let ((_let_40 (tptp.add _let_19 _let_20))) (let ((_let_41 (= tptp.additive_identity _let_40))) (let ((_let_42 (tptp.add _let_21 _let_28))) (let ((_let_43 (= _let_35 _let_42))) (let ((_let_44 (tptp.add _let_18 _let_25))) (let ((_let_45 (= _let_32 _let_44))) (let ((_let_46 (tptp.add _let_20 _let_22))) (let ((_let_47 (= _let_23 _let_46))) (let ((_let_48 (tptp.add _let_2 _let_29))) (let ((_let_49 (tptp.add _let_48 _let_27))) (let ((_let_50 (= (tptp.add _let_2 _let_30) _let_49))) (let ((_let_51 (tptp.add _let_19 _let_26))) (let ((_let_52 (= (tptp.multiply tptp.x _let_44) _let_51))) (let ((_let_53 (tptp.add _let_22 _let_29))) (let ((_let_54 (= (tptp.multiply _let_42 tptp.y) _let_53))) (let ((_let_55 (= _let_49 (tptp.add _let_27 _let_48)))) (let ((_let_56 (tptp.add _let_20 _let_53))) (let ((_let_57 (= _let_56 (tptp.add _let_46 _let_29)))) (let ((_let_58 (tptp.add _let_34 _let_19))) (let ((_let_59 (tptp.add _let_58 _let_26))) (let ((_let_60 (= (tptp.add _let_34 _let_51) _let_59))) (let ((_let_61 (tptp.add _let_27 _let_20))) (let ((_let_62 (tptp.add _let_61 _let_53))) (let ((_let_63 (= (tptp.add _let_27 _let_56) _let_62))) (let ((_let_64 (tptp.add _let_19 _let_34))) (let ((_let_65 (= _let_58 _let_64))) (let ((_let_66 (= _let_62 (tptp.add _let_53 _let_61)))) (let ((_let_67 (tptp.add _let_26 _let_58))) (let ((_let_68 (= _let_59 _let_67))) (let ((_let_69 (tptp.add tptp.additive_identity tptp.x))) (let ((_let_70 (= tptp.x _let_69))) (let ((_let_71 (tptp.multiply tptp.additive_identity _let_18))) (let ((_let_72 (tptp.add _let_71 _let_19))) (let ((_let_73 (= (tptp.multiply _let_69 _let_18) _let_72))) (let ((_let_74 (= tptp.additive_identity _let_71))) (let ((_let_75 (= tptp.additive_identity (tptp.multiply tptp.additive_identity _let_25)))) (let ((_let_76 (= tptp.additive_identity (tptp.multiply tptp.additive_identity _let_32)))) (let ((_let_77 (= tptp.additive_identity (tptp.multiply _let_25 tptp.additive_identity)))) (let ((_let_78 (= (tptp.add _let_71 _let_64) (tptp.add _let_72 _let_34)))) (let ((_let_79 (= _let_27 (tptp.add _let_27 tptp.additive_identity)))) (let ((_let_80 (= _let_34 (tptp.add _let_34 tptp.additive_identity)))) (let ((_let_81 (= (tptp.add _let_27 _let_67) (tptp.add _let_37 _let_58)))) (let ((_let_82 (= (tptp.add _let_34 _let_40) (tptp.add _let_58 _let_20)))) (let ((_let_83 (_let_7))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.associator X Y Z)))) (let ((_let_86 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 ((tptp.additive_inverse X)))) (let ((_let_90 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_11))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_95 (_let_10))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_98 (_let_9))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((tptp.add X Y)))) (let ((_let_101 (_let_8))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.add X (tptp.add Y Z))))) (let ((_let_104 ((tptp.add (tptp.add X Y) Z)))) (let ((_let_105 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (_let_25 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_111 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 (and _let_24 _let_31 _let_36 _let_38 _let_39 _let_41 _let_43 _let_45 _let_47 _let_50 _let_52 _let_54 _let_55 _let_57 _let_60 _let_63 _let_65 _let_66 _let_68 _let_70 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81 _let_82))) (let ((_let_117 (APPLY_UF tptp.add))) (let ((_let_118 (ASSUME :args (_let_31)))) (let ((_let_119 (ASSUME :args (_let_50)))) (let ((_let_120 (ASSUME :args (_let_55)))) (let ((_let_121 (ASSUME :args (_let_24)))) (let ((_let_122 (ASSUME :args (_let_47)))) (let ((_let_123 (ASSUME :args (_let_57)))) (let ((_let_124 (REFL :args (_let_27)))) (let ((_let_125 (ASSUME :args (_let_63)))) (let ((_let_126 (ASSUME :args (_let_66)))) (let ((_let_127 (ASSUME :args (_let_79)))) (let ((_let_128 (ASSUME :args (_let_75)))) (let ((_let_129 (ASSUME :args (_let_77)))) (let ((_let_130 (CONG _let_124 (TRANS (SYMM _let_129) _let_128) :args _let_117))) (let ((_let_131 (ASSUME :args (_let_39)))) (let ((_let_132 (APPLY_UF tptp.multiply))) (let ((_let_133 (ASSUME :args (_let_45)))) (let ((_let_134 (ASSUME :args (_let_52)))) (let ((_let_135 (REFL :args (_let_34)))) (let ((_let_136 (ASSUME :args (_let_60)))) (let ((_let_137 (ASSUME :args (_let_68)))) (let ((_let_138 (ASSUME :args (_let_81)))) (let ((_let_139 (ASSUME :args (_let_65)))) (let ((_let_140 (ASSUME :args (_let_38)))) (let ((_let_141 (ASSUME :args (_let_74)))) (let ((_let_142 (ASSUME :args (_let_78)))) (let ((_let_143 (ASSUME :args (_let_73)))) (let ((_let_144 (ASSUME :args (_let_70)))) (let ((_let_145 (ASSUME :args (_let_82)))) (let ((_let_146 (ASSUME :args (_let_41)))) (let ((_let_147 (ASSUME :args (_let_76)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_80)))) (let ((_let_150 (ASSUME :args (_let_54)))) (let ((_let_151 (ASSUME :args (_let_43)))) (let ((_let_152 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_116)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_119 _let_120 _let_121 _let_122 _let_123 _let_125 _let_126 _let_150 _let_151 _let_127 _let_128 _let_129 _let_131 _let_133 _let_134 _let_136 _let_137 _let_138 _let_140 _let_141 _let_139 _let_142 _let_143 _let_144 _let_145 _let_149 _let_147 _let_146 _let_152) (SCOPE (TRANS (SYMM (SYMM _let_152)) (CONG (TRANS (CONG (SYMM (SYMM _let_151)) (REFL :args (tptp.y)) :args _let_132) (SYMM (SYMM _let_150))) _let_135 :args _let_117) (CONG (REFL :args (_let_53)) (TRANS _let_149 (SYMM (CONG _let_135 _let_148 :args _let_117)) (CONG _let_135 (TRANS _let_148 (SYMM (SYMM _let_146))) :args _let_117) (SYMM (SYMM _let_145)) (CONG (TRANS (TRANS _let_139 (CONG (TRANS (CONG (SYMM (SYMM _let_144)) (REFL :args (_let_18)) :args _let_132) (SYMM (SYMM _let_143))) _let_135 :args _let_117) (SYMM _let_142) (CONG (TRANS (SYMM _let_141) (SYMM (SYMM _let_140))) (SYMM _let_139) :args _let_117) (SYMM _let_138) (CONG _let_124 (TRANS (SYMM _let_137) (SYMM _let_136) (CONG _let_135 (TRANS (SYMM _let_134) (CONG (REFL :args (tptp.x)) (SYMM _let_133) :args _let_132)) :args _let_117) (SYMM _let_131) _let_128) :args _let_117) (SYMM _let_130)) _let_130 (TRANS (CONG _let_124 (SYMM _let_128) :args _let_117) (SYMM _let_127))) (REFL :args (_let_20)) :args _let_117)) :args _let_117) (SYMM _let_126) (SYMM _let_125) (CONG _let_124 (TRANS (SYMM (SYMM _let_123)) (CONG (TRANS (SYMM _let_122) (SYMM _let_121)) (REFL :args (_let_29)) :args _let_117)) :args _let_117) (SYMM _let_120) (SYMM _let_119) (CONG (REFL :args (_let_2)) (SYMM _let_118) :args _let_117)) :args (_let_31 _let_50 _let_55 _let_24 _let_47 _let_57 _let_63 _let_66 _let_54 _let_43 _let_79 _let_75 _let_77 _let_39 _let_45 _let_52 _let_60 _let_68 _let_81 _let_38 _let_74 _let_65 _let_78 _let_73 _let_70 _let_82 _let_80 _let_76 _let_41 _let_36))) :args (_let_24 _let_31 _let_36 _let_38 _let_39 _let_41 _let_43 _let_45 _let_47 _let_50 _let_52 _let_54 _let_55 _let_57 _let_60 _let_63 _let_65 _let_66 _let_68 _let_70 _let_73 _let_74 _let_75 _let_76 _let_77 _let_78 _let_79 _let_80 _let_81 _let_82))) :args (true _let_116)) :args ((or _let_5 (not _let_24) (not _let_31) (not _let_36) (not _let_38) (not _let_39) (not _let_41) (not _let_43) (not _let_45) (not _let_47) (not _let_50) (not _let_52) (not _let_54) (not _let_55) (not _let_57) (not _let_60) (not _let_63) (not _let_65) (not _let_66) (not _let_68) (not _let_70) (not _let_73) (not _let_74) (not _let_75) (not _let_76) (not _let_77) (not _let_78) (not _let_79) (not _let_80) (not _let_81) (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_34 _let_19 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_82 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_27 _let_26 _let_58 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_81 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_114 :args (_let_80 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_114 :args (_let_79 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_71 _let_19 _let_34 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_101)) _let_102 :args (_let_78 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args _let_110) :args (_let_111))) _let_112 :args (_let_77 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_108 :args (_let_76 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_110) :args _let_109)) _let_108 :args (_let_75 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_109)) _let_108 :args (_let_74 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.additive_identity tptp.x _let_18 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_73 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.x QUANTIFIERS_INST_CBQI_PROP)) :args (_let_105))) _let_106 :args (_let_70 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_58 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_68 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_61 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_66 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_34 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_65 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_27 _let_20 _let_53 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_102 :args (_let_63 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_34 _let_19 _let_26 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_102 :args (_let_60 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_20 _let_22 _let_29 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_101)) _let_102 :args (_let_57 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_48 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_55 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_21 _let_28 tptp.y QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_54 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.x _let_18 _let_25 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_2 _let_29 _let_27 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_102 :args (_let_50 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_22 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.u tptp.v tptp.y QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.x tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_43 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_90))) _let_91 :args (_let_41 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_39 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_38 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.x _let_3 tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.x tptp.v tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_31 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.x tptp.u tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_24 false _let_7)) (ASSUME :args (_let_6)) :args (false false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_74 false _let_73 false _let_70 false _let_68 false _let_66 false _let_65 false _let_63 false _let_60 false _let_57 false _let_55 false _let_54 false _let_52 false _let_50 false _let_47 false _let_45 false _let_43 false _let_41 false _let_39 false _let_38 false _let_36 false _let_31 false _let_24 true _let_5)) :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 $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.36/26.58 )
% 26.36/26.58 % SZS output end Proof for RNG020-6
% 26.36/26.58 % cvc5---1.0.5 exiting
% 26.36/26.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------