TSTP Solution File: RNG012-6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 1.18s 1.57s
% Output : Proof 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:06:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nR0ymJq9dm/cvc5---1.0.5_19551.p...
% 0.21/0.50 ------- get file name : TPTP file name is RNG012-6
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19551.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.18/1.57 % SZS status Unsatisfiable for RNG012-6
% 1.18/1.57 % SZS output start Proof for RNG012-6
% 1.18/1.58 (
% 1.18/1.58 (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (tptp.additive_inverse tptp.b))) (let ((_let_3 (tptp.additive_inverse tptp.a))) (let ((_let_4 (tptp.multiply _let_3 _let_2))) (let ((_let_5 (= _let_4 _let_1))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_11 (forall ((X $$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 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_17 (= tptp.additive_identity (tptp.add tptp.a _let_3)))) (let ((_let_18 (= tptp.additive_identity (tptp.add tptp.b _let_2)))) (let ((_let_19 (tptp.multiply tptp.b tptp.a))) (let ((_let_20 (tptp.additive_inverse _let_19))) (let ((_let_21 (= tptp.additive_identity (tptp.add _let_20 _let_19)))) (let ((_let_22 (tptp.multiply _let_2 _let_3))) (let ((_let_23 (tptp.additive_inverse _let_22))) (let ((_let_24 (tptp.add _let_22 _let_23))) (let ((_let_25 (= tptp.additive_identity _let_24))) (let ((_let_26 (= tptp.additive_identity (tptp.add tptp.additive_identity tptp.additive_identity)))) (let ((_let_27 (= tptp.additive_identity (tptp.add tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))))) (let ((_let_28 (tptp.add tptp.a tptp.additive_identity))) (let ((_let_29 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (= tptp.a _let_29))) (let ((_let_32 (tptp.add _let_23 tptp.additive_identity))) (let ((_let_33 (tptp.add _let_22 _let_32))) (let ((_let_34 (= _let_33 (tptp.add _let_24 tptp.additive_identity)))) (let ((_let_35 (tptp.multiply tptp.b tptp.additive_identity))) (let ((_let_36 (tptp.add _let_35 _let_19))) (let ((_let_37 (= (tptp.multiply tptp.b _let_29) _let_36))) (let ((_let_38 (tptp.multiply tptp.additive_identity tptp.b))) (let ((_let_39 (tptp.add _let_38 _let_1))) (let ((_let_40 (= (tptp.multiply _let_29 tptp.b) _let_39))) (let ((_let_41 (tptp.add tptp.additive_identity _let_3))) (let ((_let_42 (tptp.add tptp.a _let_41))) (let ((_let_43 (= _let_42 (tptp.add _let_28 _let_3)))) (let ((_let_44 (tptp.add _let_32 tptp.a))) (let ((_let_45 (tptp.add _let_22 _let_44))) (let ((_let_46 (= _let_45 (tptp.add _let_33 tptp.a)))) (let ((_let_47 (= _let_3 _let_41))) (let ((_let_48 (= tptp.additive_identity _let_38))) (let ((_let_49 (= tptp.additive_identity _let_35))) (let ((_let_50 (tptp.multiply tptp.b _let_44))) (let ((_let_51 (tptp.multiply tptp.b _let_22))) (let ((_let_52 (tptp.add _let_51 _let_50))) (let ((_let_53 (= (tptp.multiply tptp.b _let_45) _let_52))) (let ((_let_54 (tptp.multiply _let_41 tptp.b))) (let ((_let_55 (= (tptp.multiply _let_42 tptp.b) (tptp.add _let_1 _let_54)))) (let ((_let_56 (= _let_36 (tptp.add _let_19 _let_35)))) (let ((_let_57 (tptp.add _let_1 _let_38))) (let ((_let_58 (= _let_39 _let_57))) (let ((_let_59 (tptp.add _let_20 _let_35))) (let ((_let_60 (tptp.add _let_59 _let_19))) (let ((_let_61 (= (tptp.add _let_20 _let_36) _let_60))) (let ((_let_62 (tptp.add _let_4 tptp.additive_identity))) (let ((_let_63 (= _let_4 _let_62))) (let ((_let_64 (= _let_20 (tptp.add _let_20 tptp.additive_identity)))) (let ((_let_65 (tptp.multiply _let_41 tptp.additive_identity))) (let ((_let_66 (= tptp.additive_identity _let_65))) (let ((_let_67 (= _let_62 (tptp.add tptp.additive_identity _let_4)))) (let ((_let_68 (tptp.add _let_1 _let_59))) (let ((_let_69 (tptp.add _let_68 _let_19))) (let ((_let_70 (= (tptp.add _let_1 _let_60) _let_69))) (let ((_let_71 (tptp.add _let_38 _let_54))) (let ((_let_72 (tptp.add _let_1 _let_71))) (let ((_let_73 (= _let_72 (tptp.add _let_57 _let_54)))) (let ((_let_74 (tptp.add _let_50 _let_35))) (let ((_let_75 (tptp.add _let_51 _let_74))) (let ((_let_76 (= _let_75 (tptp.add _let_52 _let_35)))) (let ((_let_77 (= _let_54 (tptp.add tptp.additive_identity _let_54)))) (let ((_let_78 (tptp.add tptp.additive_identity _let_2))) (let ((_let_79 (tptp.multiply _let_41 _let_78))) (let ((_let_80 (= _let_79 (tptp.add _let_65 (tptp.multiply _let_41 _let_2))))) (let ((_let_81 (tptp.add tptp.additive_identity tptp.b))) (let ((_let_82 (tptp.multiply _let_41 _let_81))) (let ((_let_83 (= _let_82 (tptp.add _let_65 _let_54)))) (let ((_let_84 (= _let_69 (tptp.add _let_19 _let_68)))) (let ((_let_85 (tptp.add _let_71 _let_4))) (let ((_let_86 (= (tptp.add _let_1 _let_85) (tptp.add _let_72 _let_4)))) (let ((_let_87 (tptp.add _let_1 _let_20))) (let ((_let_88 (= (tptp.add _let_51 (tptp.add _let_74 _let_87)) (tptp.add _let_75 _let_87)))) (let ((_let_89 (= tptp.b _let_81))) (let ((_let_90 (= _let_2 _let_78))) (let ((_let_91 (= (tptp.multiply _let_41 (tptp.add _let_81 _let_78)) (tptp.add _let_82 _let_79)))) (let ((_let_92 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.additive_inverse X)))) (let ((_let_96 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_102 (_let_8))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 ((tptp.add tptp.additive_identity X)))) (let ((_let_105 (_let_7))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((tptp.add (tptp.add X Y) Z)))) (let ((_let_108 (_let_10))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_111 (_let_9))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_114 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 ((not (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity))))) (let ((_let_120 ((tptp.add X Y)))) (let ((_let_121 ((tptp.add X (tptp.add Y Z))))) (let ((_let_122 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 ((tptp.add X tptp.additive_identity)))) (let ((_let_126 ((tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_127 (and _let_17 _let_18 _let_21 _let_25 _let_26 _let_27 _let_30 _let_31 _let_34 _let_37 _let_40 _let_43 _let_46 _let_47 _let_48 _let_49 _let_53 _let_55 _let_56 _let_58 _let_61 _let_63 _let_64 _let_66 _let_67 _let_70 _let_73 _let_76 _let_77 _let_80 _let_83 _let_84 _let_86 _let_88 _let_89 _let_90 _let_91))) (let ((_let_128 (APPLY_UF tptp.multiply))) (let ((_let_129 (REFL :args (tptp.b)))) (let ((_let_130 (ASSUME :args (_let_31)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (CONG _let_131 _let_129 :args _let_128))) (let ((_let_133 (ASSUME :args (_let_40)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (ASSUME :args (_let_58)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (APPLY_UF tptp.add))) (let ((_let_138 (ASSUME :args (_let_48)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_66)))) (let ((_let_142 (ASSUME :args (_let_18)))) (let ((_let_143 (ASSUME :args (_let_90)))) (let ((_let_144 (ASSUME :args (_let_89)))) (let ((_let_145 (ASSUME :args (_let_91)))) (let ((_let_146 (ASSUME :args (_let_80)))) (let ((_let_147 (ASSUME :args (_let_47)))) (let ((_let_148 (ASSUME :args (_let_67)))) (let ((_let_149 (SYMM (SYMM _let_148)))) (let ((_let_150 (ASSUME :args (_let_63)))) (let ((_let_151 (SYMM (SYMM _let_150)))) (let ((_let_152 (ASSUME :args (_let_83)))) (let ((_let_153 (REFL :args (_let_54)))) (let ((_let_154 (CONG _let_140 _let_153 :args _let_137))) (let ((_let_155 (ASSUME :args (_let_77)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (ASSUME :args (_let_21)))) (let ((_let_158 (CONG _let_129 _let_131 :args _let_128))) (let ((_let_159 (ASSUME :args (_let_37)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (REFL :args (_let_20)))) (let ((_let_162 (ASSUME :args (_let_61)))) (let ((_let_163 (REFL :args (_let_1)))) (let ((_let_164 (ASSUME :args (_let_70)))) (let ((_let_165 (ASSUME :args (_let_84)))) (let ((_let_166 (ASSUME :args (_let_49)))) (let ((_let_167 (ASSUME :args (_let_64)))) (let ((_let_168 (TRANS _let_136 _let_134 _let_132))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (ASSUME :args (_let_56)))) (let ((_let_171 (REFL :args (tptp.a)))) (let ((_let_172 (ASSUME :args (_let_27)))) (let ((_let_173 (ASSUME :args (_let_26)))) (let ((_let_174 (ASSUME :args (_let_25)))) (let ((_let_175 (ASSUME :args (_let_34)))) (let ((_let_176 (ASSUME :args (_let_46)))) (let ((_let_177 (ASSUME :args (_let_53)))) (let ((_let_178 (ASSUME :args (_let_76)))) (let ((_let_179 (ASSUME :args (_let_88)))) (let ((_let_180 (TRANS (SYMM (SYMM _let_179)) (CONG (TRANS (SYMM (SYMM _let_178)) (CONG (TRANS (SYMM _let_177) (CONG _let_129 (TRANS (SYMM (SYMM _let_176)) (CONG (TRANS (TRANS (SYMM (SYMM _let_175)) (CONG (SYMM _let_174) (REFL :args (tptp.additive_identity)) :args _let_137) (SYMM _let_173)) _let_172) _let_171 :args _let_137) (CONG (SYMM _let_172) _let_171 :args _let_137) _let_131) :args _let_128)) (REFL :args (_let_35)) :args _let_137) (SYMM _let_170) _let_160 _let_158) (REFL :args (_let_87)) :args _let_137) (CONG (REFL :args (_let_19)) (TRANS (CONG _let_169 _let_161 :args _let_137) (CONG _let_168 (TRANS (SYMM (SYMM _let_167)) (CONG _let_161 _let_140 :args _let_137)) :args _let_137) (CONG _let_163 (CONG _let_161 (TRANS _let_139 (SYMM (SYMM _let_166))) :args _let_137) :args _let_137)) :args _let_137) (SYMM _let_165) (SYMM _let_164) (CONG _let_163 (TRANS (SYMM _let_162) (CONG _let_161 (TRANS _let_160 _let_158) :args _let_137) (SYMM _let_157) _let_140) :args _let_137) _let_136 _let_134 _let_132))) (let ((_let_181 (ASSUME :args (_let_86)))) (let ((_let_182 (ASSUME :args (_let_73)))) (let ((_let_183 (ASSUME :args (_let_55)))) (let ((_let_184 (ASSUME :args (_let_43)))) (let ((_let_185 (ASSUME :args (_let_30)))) (let ((_let_186 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_133 _let_135 _let_138 _let_157 _let_159 _let_162 _let_164 _let_165 _let_166 _let_167 _let_170 _let_172 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178 _let_179 _let_141 _let_142 _let_144 _let_143 _let_145 _let_152 _let_155 _let_146 _let_147 _let_148 _let_150 _let_181 _let_182 _let_183 _let_184 _let_185 _let_186) (SCOPE (TRANS _let_151 _let_149 (CONG (TRANS _let_140 (CONG (TRANS (SYMM (SYMM _let_186)) (CONG (TRANS _let_130 (SYMM (SYMM _let_185))) (REFL :args (_let_3)) :args _let_137) (SYMM _let_184)) _let_129 :args _let_128) (SYMM (SYMM _let_183)) (CONG _let_169 _let_153 :args _let_137) (SYMM _let_182)) (REFL :args (_let_4)) :args _let_137) (SYMM _let_181) (CONG (SYMM _let_180) (REFL :args (_let_85)) :args _let_137) (CONG _let_180 (TRANS (CONG (TRANS (TRANS (SYMM _let_154) _let_156) (TRANS (SYMM _let_156) _let_154 (CONG (TRANS _let_139 _let_141) _let_153 :args _let_137) (SYMM _let_152))) (TRANS _let_151 _let_149 (CONG _let_141 (CONG (SYMM (SYMM _let_147)) (REFL :args (_let_2)) :args _let_128) :args _let_137) (SYMM _let_146)) :args _let_137) (SYMM _let_145) (CONG (REFL :args (_let_41)) (TRANS (CONG (SYMM _let_144) (SYMM _let_143) :args _let_137) (SYMM _let_142)) :args _let_128) (SYMM _let_141) _let_140) :args _let_137) _let_136 _let_134 _let_132) :args (_let_31 _let_40 _let_58 _let_48 _let_21 _let_37 _let_61 _let_70 _let_84 _let_49 _let_64 _let_56 _let_27 _let_26 _let_25 _let_34 _let_46 _let_53 _let_76 _let_88 _let_66 _let_18 _let_89 _let_90 _let_91 _let_83 _let_77 _let_80 _let_47 _let_67 _let_63 _let_86 _let_73 _let_55 _let_43 _let_30 _let_17))) :args (_let_17 _let_18 _let_21 _let_25 _let_26 _let_27 _let_30 _let_31 _let_34 _let_37 _let_40 _let_43 _let_46 _let_47 _let_48 _let_49 _let_53 _let_55 _let_56 _let_58 _let_61 _let_63 _let_64 _let_66 _let_67 _let_70 _let_73 _let_76 _let_77 _let_80 _let_83 _let_84 _let_86 _let_88 _let_89 _let_90 _let_91))) :args (true _let_127)) :args ((or _let_5 (not _let_17) (not _let_18) (not _let_21) (not _let_25) (not _let_26) (not _let_27) (not _let_30) (not _let_31) (not _let_34) (not _let_37) (not _let_40) (not _let_43) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_53) (not _let_55) (not _let_56) (not _let_58) (not _let_61) (not _let_63) (not _let_64) (not _let_66) (not _let_67) (not _let_70) (not _let_73) (not _let_76) (not _let_77) (not _let_80) (not _let_83) (not _let_84) (not _let_86) (not _let_88) (not _let_89) (not _let_90) (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_41 _let_81 _let_78 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_108)) _let_109 :args (_let_91 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_100)) _let_99 :args (_let_90 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_100)) _let_99 :args (_let_89 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_51 _let_74 _let_87 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_88 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_1 _let_71 _let_4 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_86 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_68 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_102)) _let_103 :args (_let_84 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_41 tptp.additive_identity tptp.b QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_108)) _let_109 :args (_let_83 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_41 tptp.additive_identity _let_2 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_108)) _let_109 :args (_let_80 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_100)) _let_99 :args (_let_77 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_51 _let_50 _let_35 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_76 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_1 _let_38 _let_54 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_73 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_1 _let_59 _let_19 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_105)) _let_106 :args (_let_70 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_4 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_102)) _let_103 :args (_let_67 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_66 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) _let_123 :args (_let_64 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) _let_123 :args (_let_63 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_20 _let_35 _let_19 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_105)) _let_106 :args (_let_61 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_38 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_102)) _let_103 :args (_let_58 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_35 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_102)) _let_103 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.a _let_41 tptp.b QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_111)) _let_112 :args (_let_55 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.b _let_22 _let_44 QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_108)) _let_109 :args (_let_53 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) _let_117 :args (_let_49 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity))))) :args (_let_114))) _let_115 :args (_let_48 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_100)) _let_99 :args (_let_47 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_22 _let_32 tptp.a QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_46 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (tptp.a tptp.additive_identity _let_3 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_43 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.additive_identity tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_111)) _let_112 :args (_let_40 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.b tptp.additive_identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_108)) _let_109 :args (_let_37 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_22 _let_23 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_100)) _let_99 :args (_let_31 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.additive_identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_102)) _let_103 :args (_let_30 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args _let_101) :args _let_94)) _let_93 :args (_let_27 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args _let_101) :args _let_100)) _let_99 :args (_let_26 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_25 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_96))) _let_97 :args (_let_21 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_18 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_17 false _let_92)) (ASSUME :args (_let_6)) :args (false false _let_91 false _let_90 false _let_89 false _let_88 false _let_86 false _let_84 false _let_83 false _let_80 false _let_77 false _let_76 false _let_73 false _let_70 false _let_67 false _let_66 false _let_64 false _let_63 false _let_61 false _let_58 false _let_56 false _let_55 false _let_53 false _let_49 false _let_48 false _let_47 false _let_46 false _let_43 false _let_40 false _let_37 false _let_34 false _let_31 false _let_30 false _let_27 false _let_26 false _let_25 false _let_21 false _let_18 false _let_17 true _let_5)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) _let_10 _let_9 _let_8 _let_7 (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_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.18/1.58 )
% 1.18/1.59 % SZS output end Proof for RNG012-6
% 1.18/1.59 % cvc5---1.0.5 exiting
% 1.18/1.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------