TSTP Solution File: RNG026-7 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 13:49:33 EDT 2023
% Result : Unsatisfiable 0.58s 0.77s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 01:41:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BstteX8025/cvc5---1.0.5_20751.p...
% 0.21/0.49 ------- get file name : TPTP file name is RNG026-7
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20751.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.58/0.77 % SZS status Unsatisfiable for RNG026-7
% 0.58/0.77 % SZS output start Proof for RNG026-7
% 0.58/0.78 (
% 0.58/0.78 (let ((_let_1 (tptp.associator tptp.a tptp.b tptp.c))) (let ((_let_2 (tptp.multiply _let_1 tptp.d))) (let ((_let_3 (tptp.associator tptp.b tptp.c tptp.d))) (let ((_let_4 (tptp.multiply tptp.a _let_3))) (let ((_let_5 (tptp.multiply tptp.b tptp.c))) (let ((_let_6 (tptp.associator tptp.a _let_5 tptp.d))) (let ((_let_7 (tptp.add _let_6 _let_4))) (let ((_let_8 (tptp.add _let_7 _let_2))) (let ((_let_9 (tptp.additive_inverse _let_8))) (let ((_let_10 (tptp.multiply tptp.c tptp.d))) (let ((_let_11 (tptp.associator tptp.a tptp.b _let_10))) (let ((_let_12 (tptp.multiply tptp.a tptp.b))) (let ((_let_13 (tptp.associator _let_12 tptp.c tptp.d))) (let ((_let_14 (tptp.add _let_13 _let_11))) (let ((_let_15 (tptp.add _let_14 _let_9))) (let ((_let_16 (not (= _let_15 tptp.additive_identity)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_22 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_24 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_25 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_26 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_27 (= tptp.additive_identity _let_15))) (let ((_let_28 (= tptp.additive_identity (tptp.add _let_9 _let_8)))) (let ((_let_29 (= _let_15 (tptp.add _let_9 _let_14)))) (let ((_let_30 (= _let_8 (tptp.add _let_2 _let_7)))) (let ((_let_31 (tptp.multiply tptp.a _let_5))) (let ((_let_32 (tptp.additive_inverse _let_31))) (let ((_let_33 (tptp.multiply _let_12 tptp.c))) (let ((_let_34 (tptp.add _let_33 _let_32))) (let ((_let_35 (= _let_1 _let_34))) (let ((_let_36 (tptp.multiply tptp.b _let_10))) (let ((_let_37 (tptp.additive_inverse (tptp.multiply tptp.a _let_36)))) (let ((_let_38 (tptp.multiply _let_12 _let_10))) (let ((_let_39 (tptp.add _let_38 _let_37))) (let ((_let_40 (= _let_11 _let_39))) (let ((_let_41 (tptp.multiply _let_5 tptp.d))) (let ((_let_42 (tptp.multiply tptp.a _let_41))) (let ((_let_43 (tptp.additive_inverse _let_42))) (let ((_let_44 (tptp.multiply _let_31 tptp.d))) (let ((_let_45 (tptp.add _let_44 _let_43))) (let ((_let_46 (= _let_6 _let_45))) (let ((_let_47 (tptp.additive_inverse _let_36))) (let ((_let_48 (tptp.add _let_41 _let_47))) (let ((_let_49 (= _let_3 _let_48))) (let ((_let_50 (tptp.additive_inverse _let_38))) (let ((_let_51 (tptp.multiply _let_33 tptp.d))) (let ((_let_52 (tptp.add _let_51 _let_50))) (let ((_let_53 (= _let_13 _let_52))) (let ((_let_54 (tptp.add _let_43 _let_42))) (let ((_let_55 (= tptp.additive_identity _let_54))) (let ((_let_56 (tptp.add _let_38 _let_50))) (let ((_let_57 (= tptp.additive_identity _let_56))) (let ((_let_58 (tptp.multiply tptp.a _let_47))) (let ((_let_59 (tptp.add _let_42 _let_58))) (let ((_let_60 (= (tptp.multiply tptp.a _let_48) _let_59))) (let ((_let_61 (tptp.add _let_32 _let_33))) (let ((_let_62 (= _let_34 _let_61))) (let ((_let_63 (tptp.add _let_50 _let_51))) (let ((_let_64 (= _let_52 _let_63))) (let ((_let_65 (tptp.add _let_13 _let_38))) (let ((_let_66 (tptp.add _let_65 _let_37))) (let ((_let_67 (= (tptp.add _let_13 _let_39) _let_66))) (let ((_let_68 (tptp.add _let_43 _let_4))) (let ((_let_69 (tptp.add _let_44 _let_68))) (let ((_let_70 (= _let_69 (tptp.add _let_45 _let_4)))) (let ((_let_71 (= _let_37 _let_58))) (let ((_let_72 (tptp.additive_inverse _let_44))) (let ((_let_73 (= tptp.additive_identity (tptp.add _let_44 _let_72)))) (let ((_let_74 (tptp.multiply _let_32 tptp.d))) (let ((_let_75 (tptp.add _let_74 _let_51))) (let ((_let_76 (= (tptp.multiply _let_61 tptp.d) _let_75))) (let ((_let_77 (= _let_65 (tptp.add _let_38 _let_13)))) (let ((_let_78 (= _let_68 (tptp.add _let_4 _let_43)))) (let ((_let_79 (= _let_66 (tptp.add _let_37 _let_65)))) (let ((_let_80 (tptp.add _let_2 _let_44))) (let ((_let_81 (tptp.add _let_80 _let_68))) (let ((_let_82 (= (tptp.add _let_2 _let_69) _let_81))) (let ((_let_83 (= (tptp.add _let_43 _let_59) (tptp.add _let_54 _let_58)))) (let ((_let_84 (= _let_74 _let_72))) (let ((_let_85 (= _let_58 (tptp.add tptp.additive_identity _let_58)))) (let ((_let_86 (= _let_80 (tptp.add _let_44 _let_2)))) (let ((_let_87 (= _let_81 (tptp.add _let_68 _let_80)))) (let ((_let_88 (= (tptp.add _let_38 _let_63) (tptp.add _let_56 _let_51)))) (let ((_let_89 (= (tptp.add _let_44 _let_75) (tptp.add (tptp.add _let_44 _let_74) _let_51)))) (let ((_let_90 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((tptp.additive_inverse X)))) (let ((_let_94 (_let_21))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 ((tptp.add X Y)))) (let ((_let_97 (_let_19))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((tptp.associator X Y Z)))) (let ((_let_100 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 ((tptp.additive_inverse X)))) (let ((_let_104 (_let_23))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_20))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 ((tptp.add X (tptp.add Y Z))))) (let ((_let_109 (_let_17))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (_let_22))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (_let_18))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (and _let_28 _let_29 _let_30 _let_35 _let_40 _let_46 _let_49 _let_53 _let_55 _let_57 _let_60 _let_62 _let_64 _let_67 _let_70 _let_71 _let_73 _let_76 _let_77 _let_78 _let_79 _let_82 _let_83 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89))) (let ((_let_118 (ASSUME :args (_let_29)))) (let ((_let_119 (APPLY_UF tptp.add))) (let ((_let_120 (ASSUME :args (_let_40)))) (let ((_let_121 (ASSUME :args (_let_67)))) (let ((_let_122 (ASSUME :args (_let_79)))) (let ((_let_123 (ASSUME :args (_let_77)))) (let ((_let_124 (ASSUME :args (_let_53)))) (let ((_let_125 (ASSUME :args (_let_64)))) (let ((_let_126 (ASSUME :args (_let_88)))) (let ((_let_127 (ASSUME :args (_let_57)))) (let ((_let_128 (ASSUME :args (_let_55)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_73)))) (let ((_let_131 (ASSUME :args (_let_84)))) (let ((_let_132 (REFL :args (_let_44)))) (let ((_let_133 (ASSUME :args (_let_89)))) (let ((_let_134 (ASSUME :args (_let_76)))) (let ((_let_135 (APPLY_UF tptp.multiply))) (let ((_let_136 (REFL :args (tptp.d)))) (let ((_let_137 (ASSUME :args (_let_62)))) (let ((_let_138 (ASSUME :args (_let_35)))) (let ((_let_139 (ASSUME :args (_let_71)))) (let ((_let_140 (ASSUME :args (_let_85)))) (let ((_let_141 (ASSUME :args (_let_83)))) (let ((_let_142 (ASSUME :args (_let_60)))) (let ((_let_143 (ASSUME :args (_let_49)))) (let ((_let_144 (ASSUME :args (_let_78)))) (let ((_let_145 (ASSUME :args (_let_86)))) (let ((_let_146 (ASSUME :args (_let_87)))) (let ((_let_147 (ASSUME :args (_let_82)))) (let ((_let_148 (ASSUME :args (_let_70)))) (let ((_let_149 (ASSUME :args (_let_46)))) (let ((_let_150 (ASSUME :args (_let_30)))) (let ((_let_151 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_120 _let_121 _let_122 _let_139 _let_140 _let_128 _let_141 _let_142 _let_143 _let_144 _let_123 _let_124 _let_125 _let_126 _let_127 _let_130 _let_131 _let_133 _let_134 _let_137 _let_138 _let_145 _let_146 _let_147 _let_148 _let_149 _let_150 _let_151) (SCOPE (TRANS (SYMM (SYMM _let_151)) (CONG (REFL :args (_let_9)) (TRANS (SYMM (SYMM _let_150)) (CONG (REFL :args (_let_2)) (TRANS (CONG (SYMM (SYMM _let_149)) (REFL :args (_let_4)) :args _let_119) (SYMM _let_148)) :args _let_119) (SYMM (SYMM _let_147)) (SYMM (SYMM _let_146)) (CONG _let_144 (SYMM (SYMM _let_145)) :args _let_119) (CONG (TRANS (SYMM _let_144) (TRANS (CONG (REFL :args (_let_43)) (TRANS (CONG (REFL :args (tptp.a)) (SYMM (SYMM _let_143)) :args _let_135) (SYMM (SYMM _let_142))) :args _let_119) (SYMM (SYMM _let_141)) (CONG _let_129 (REFL :args (_let_58)) :args _let_119) (SYMM _let_140) (SYMM _let_139))) (TRANS (CONG _let_132 (TRANS (CONG (SYMM (SYMM _let_138)) _let_136 :args _let_135) (CONG (SYMM (SYMM _let_137)) _let_136 :args _let_135) (SYMM (SYMM _let_134))) :args _let_119) (SYMM (SYMM _let_133)) (CONG (TRANS (TRANS (CONG _let_132 (SYMM (SYMM _let_131)) :args _let_119) (SYMM _let_130) _let_128) (TRANS _let_129 (SYMM (SYMM _let_127)))) (REFL :args (_let_51)) :args _let_119) (SYMM _let_126) (CONG (REFL :args (_let_38)) (TRANS (SYMM _let_125) (SYMM _let_124)) :args _let_119) (SYMM _let_123)) :args _let_119) (SYMM _let_122) (SYMM _let_121) (CONG (REFL :args (_let_13)) (SYMM _let_120) :args _let_119)) :args _let_119) (SYMM _let_118)) :args (_let_29 _let_40 _let_67 _let_79 _let_71 _let_85 _let_55 _let_83 _let_60 _let_49 _let_78 _let_77 _let_53 _let_64 _let_88 _let_57 _let_73 _let_84 _let_89 _let_76 _let_62 _let_35 _let_86 _let_87 _let_82 _let_70 _let_46 _let_30 _let_28))) :args (_let_28 _let_29 _let_30 _let_35 _let_40 _let_46 _let_49 _let_53 _let_55 _let_57 _let_60 _let_62 _let_64 _let_67 _let_70 _let_71 _let_73 _let_76 _let_77 _let_78 _let_79 _let_82 _let_83 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89))) :args (true _let_117)) :args ((or _let_27 (not _let_28) (not _let_29) (not _let_30) (not _let_35) (not _let_40) (not _let_46) (not _let_49) (not _let_53) (not _let_55) (not _let_57) (not _let_60) (not _let_62) (not _let_64) (not _let_67) (not _let_70) (not _let_71) (not _let_73) (not _let_76) (not _let_77) (not _let_78) (not _let_79) (not _let_82) (not _let_83) (not _let_84) (not _let_85) (not _let_86) (not _let_87) (not _let_88) (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_44 _let_74 _let_51 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_89 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_38 _let_50 _let_51 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_88 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_80 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_87 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_2 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_86 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add tptp.additive_identity X)))) :args (_let_115))) _let_116 :args (_let_85 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_31 tptp.d QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.additive_inverse X) Y)))) :args _let_113)) _let_114 :args (_let_84 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_43 _let_42 _let_58 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_83 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_2 _let_44 _let_68 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_82 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_65 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_79 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_43 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_78 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_13 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_77 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_32 _let_33 tptp.d QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.add X Y) Z)))) :args _let_111)) _let_112 :args (_let_76 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_73 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.a _let_36 QUANTIFIERS_INST_E_MATCHING ((tptp.additive_inverse (tptp.multiply X Y))))) :args _let_109))) _let_110 :args (_let_71 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_44 _let_43 _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.add X Y) Z)))) :args _let_106)) _let_107 :args (_let_70 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_13 _let_38 _let_37 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_106)) _let_107 :args (_let_67 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_51 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_64 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_62 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.a _let_41 _let_47 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.add Y Z))))) :args _let_104)) _let_105 :args (_let_60 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_102)) _let_101 :args (_let_57 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_55 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_12 tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_53 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.b tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_49 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a _let_5 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_46 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a tptp.b _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_40 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_97)) _let_98 :args (_let_35 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_7 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_30 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_14 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_94)) _let_95 :args (_let_29 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_28 false _let_90)) (SYMM (ASSUME :args (_let_16))) :args (false false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_79 false _let_78 false _let_77 false _let_76 false _let_73 false _let_71 false _let_70 false _let_67 false _let_64 false _let_62 false _let_60 false _let_57 false _let_55 false _let_53 false _let_49 false _let_46 false _let_40 false _let_35 false _let_30 false _let_29 false _let_28 true _let_27)) :args (_let_26 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) _let_25 _let_24 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) _let_23 _let_22 _let_21 _let_20 (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_19 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.additive_inverse Y)) (tptp.multiply X Y))) _let_18 _let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y (tptp.additive_inverse Z))) (tptp.add (tptp.multiply X Y) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X (tptp.additive_inverse Y)) Z) (tptp.add (tptp.multiply X Z) (tptp.additive_inverse (tptp.multiply Y Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.add Y Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Y)) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) (tptp.additive_inverse Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Z)) (tptp.additive_inverse (tptp.multiply Y Z))))) _let_16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.58/0.78 )
% 0.58/0.78 % SZS output end Proof for RNG026-7
% 0.58/0.78 % cvc5---1.0.5 exiting
% 0.58/0.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------