TSTP Solution File: RNG039-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 13:49:39 EDT 2023
% Result : Unsatisfiable 1.10s 1.32s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.16 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 02:00:47 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dNTZDaD1RG/cvc5---1.0.5_18624.p...
% 0.22/0.54 ------- get file name : TPTP file name is RNG039-1
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18624.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.10/1.32 % SZS status Unsatisfiable for RNG039-1
% 1.10/1.32 % SZS output start Proof for RNG039-1
% 1.10/1.33 (
% 1.10/1.33 (let ((_let_1 (= tptp.c tptp.d))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.product tptp.a tptp.b tptp.c))) (let ((_let_4 (forall ((A $$unsorted)) (tptp.product A A A)))) (let ((_let_5 (tptp.add tptp.a tptp.d))) (let ((_let_6 (tptp.add tptp.a tptp.b))) (let ((_let_7 (tptp.add tptp.d tptp.a))) (let ((_let_8 (tptp.add tptp.b tptp.a))) (let ((_let_9 (tptp.product _let_8 tptp.a _let_7))) (let ((_let_10 (tptp.add tptp.b tptp.c))) (let ((_let_11 (tptp.add tptp.c tptp.b))) (let ((_let_12 (tptp.product _let_6 tptp.b _let_11))) (let ((_let_13 (tptp.add tptp.b tptp.d))) (let ((_let_14 (tptp.add tptp.a tptp.c))) (let ((_let_15 (tptp.add tptp.c tptp.a))) (let ((_let_16 (tptp.multiply tptp.a tptp.d))) (let ((_let_17 (tptp.product tptp.c tptp.a _let_16))) (let ((_let_18 (tptp.multiply tptp.d tptp.b))) (let ((_let_19 (tptp.multiply tptp.b tptp.d))) (let ((_let_20 (tptp.product tptp.b tptp.a _let_19))) (let ((_let_21 (tptp.multiply tptp.b tptp.c))) (let ((_let_22 (tptp.multiply tptp.c tptp.a))) (let ((_let_23 (tptp.multiply tptp.d tptp.a))) (let ((_let_24 (tptp.product tptp.b tptp.a _let_23))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted)) (tptp.product tptp.a (tptp.multiply tptp.b A) (tptp.multiply B A))))) (let ((_let_26 (tptp.product tptp.c tptp.b tptp.c))) (let ((_let_27 (tptp.product tptp.b tptp.d tptp.d))) (let ((_let_28 (tptp.product tptp.a tptp.c tptp.c))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted)) (tptp.sum A B (tptp.add B A))))) (let ((_let_30 (tptp.multiply tptp.b tptp.a))) (let ((_let_31 (= _let_30 tptp.d))) (let ((_let_32 (forall ((A $$unsorted)) (= (tptp.multiply A A) A)))) (let ((_let_33 (forall ((A $$unsorted)) (= (tptp.add A A) tptp.additive_identity)))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (tptp.sum (tptp.add A B) B A)))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (tptp.sum A (tptp.add A B) B)))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_38 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_44 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))))) (let ((_let_45 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_47 (= _let_23 _let_19))) (let ((_let_48 (tptp.multiply tptp.b tptp.b))) (let ((_let_49 (= tptp.b _let_48))) (let ((_let_50 (= tptp.d _let_19))) (let ((_let_51 (= tptp.b tptp.c))) (let ((_let_52 (= tptp.a _let_23))) (let ((_let_53 (= tptp.a _let_48))) (let ((_let_54 (ASSUME :args (_let_2)))) (let ((_let_55 (not _let_20))) (let ((_let_56 (not _let_24))) (let ((_let_57 (or _let_56 _let_55 _let_47))) (let ((_let_58 (_let_36))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((not (= (tptp.product X Y U) false)) (not (= (tptp.product X Y V) false))))) (let ((_let_61 (ASSUME :args (_let_24)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 _let_47 (not _let_57)))) _let_61 (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b tptp.a _let_23 _let_19 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_57 false _let_36)) :args (_let_47 false _let_24 false _let_20 false _let_57)))) (let ((_let_63 (forall ((A $$unsorted)) (= A (tptp.multiply A A))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.multiply A A)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_49 false _let_63)))) (let ((_let_68 (tptp.product tptp.b tptp.d _let_19))) (let ((_let_69 (not _let_68))) (let ((_let_70 (not _let_27))) (let ((_let_71 (or _let_70 _let_69 _let_50))) (let ((_let_72 (_let_46))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 _let_50 (not _let_71)))) (ASSUME :args (_let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X Y)))) :args _let_72)) _let_73 :args (_let_68 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b tptp.d tptp.d _let_19 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_71 false _let_36)) :args (_let_50 false _let_27 false _let_68 false _let_71)))) (let ((_let_75 (tptp.product tptp.c tptp.b tptp.b))) (let ((_let_76 (not _let_75))) (let ((_let_77 (not _let_26))) (let ((_let_78 (or _let_77 _let_76 _let_51))) (let ((_let_79 (tptp.sum _let_10 tptp.c tptp.b))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.sum _let_15 tptp.a tptp.c))) (let ((_let_82 (not _let_81))) (let ((_let_83 (not _let_3))) (let ((_let_84 (tptp.product _let_15 tptp.b _let_10))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83 _let_82 _let_80 _let_75))) (let ((_let_87 (_let_38))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((not (= (tptp.product Z X V2) false)) (not (= (tptp.sum Y Z V3) false)) (not (= (tptp.sum V1 V2 V4) false))))) (let ((_let_90 (= _let_15 _let_14))) (let ((_let_91 (tptp.product _let_14 tptp.b _let_10))) (let ((_let_92 (tptp.sum tptp.a tptp.c _let_15))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.sum tptp.a tptp.c _let_14))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93 _let_90))) (let ((_let_97 (_let_37))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X Y V) false))))) (let ((_let_100 (_let_29))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((tptp.add B A)))) (let ((_let_103 (_let_45))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.add X Y)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_94 false _let_45)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_93 _let_90 (not _let_96)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_92 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.a tptp.c _let_14 _let_15 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97))) _let_98 :args (_let_96 false _let_37)) :args (_let_90 false _let_94 false _let_92 false _let_96)))) (let ((_let_108 (tptp.sum tptp.b tptp.c _let_10))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.product tptp.a tptp.b tptp.b))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_77 _let_95 _let_109 _let_91))) (let ((_let_113 (tptp.product tptp.a _let_48 _let_48))) (let ((_let_114 (_let_25))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((tptp.multiply B A)))) (let ((_let_117 (not _let_49))) (let ((_let_118 (and _let_49 _let_113))) (let ((_let_119 (ASSUME :args (_let_113)))) (let ((_let_120 (APPLY_UF tptp.product))) (let ((_let_121 (ASSUME :args (_let_49)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (REFL :args (tptp.a)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_108 false _let_45)))) (let ((_let_126 (ASSUME :args (_let_26)))) (let ((_let_127 (not _let_90))) (let ((_let_128 (and _let_91 _let_90))) (let ((_let_129 (_let_91 _let_90))) (let ((_let_130 (ASSUME :args (_let_91)))) (let ((_let_131 (REFL :args (_let_10)))) (let ((_let_132 (REFL :args (tptp.b)))) (let ((_let_133 (ASSUME :args (_let_90)))) (let ((_let_134 (SYMM (SYMM _let_133)))) (let ((_let_135 (_let_34))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 ((tptp.add A B)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 _let_51 (not _let_78)))) _let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_83 _let_80 _let_82 _let_85 _let_75 (not _let_86)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_135)) _let_136 :args (_let_79 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_135)) _let_136 :args (_let_81 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_133) (SCOPE (TRUE_ELIM (TRANS (CONG _let_134 _let_132 _let_131 :args _let_120) (TRUE_INTRO _let_130))) :args _let_129)) :args _let_129)) :args (true _let_128)) :args ((or _let_84 (not _let_91) _let_127))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_77 _let_95 _let_109 _let_111 _let_91 (not _let_112)))) _let_126 _let_106 _let_125 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_119 _let_121) (SCOPE (TRUE_ELIM (TRANS (CONG _let_124 _let_123 _let_123 :args _let_120) (TRUE_INTRO _let_119))) :args (_let_113 _let_49))) :args (_let_49 _let_113))) :args (true _let_118)) :args ((or _let_110 _let_117 (not _let_113)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114)) _let_115 :args (_let_113 false _let_25)) :args (_let_110 false _let_49 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.a tptp.b tptp.b tptp.c tptp.c _let_14 _let_10 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_112 false _let_38)) :args (_let_91 false _let_26 false _let_94 false _let_108 false _let_110 false _let_112)) _let_107 :args (_let_84 false _let_91 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_15 tptp.b _let_10 tptp.a tptp.c tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_86 false _let_38)) :args (_let_75 false _let_3 false _let_79 false _let_81 false _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.c tptp.b tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58))) _let_59 :args (_let_78 false _let_36)) :args (_let_51 false _let_26 false _let_75 false _let_78)))) (let ((_let_139 (tptp.product tptp.b tptp.a tptp.a))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_56 _let_140 _let_52))) (let ((_let_142 (tptp.multiply tptp.a tptp.a))) (let ((_let_143 (tptp.product tptp.c tptp.a _let_142))) (let ((_let_144 (= tptp.a _let_142))) (let ((_let_145 (tptp.product tptp.a _let_16 _let_142))) (let ((_let_146 (not _let_145))) (let ((_let_147 (not _let_17))) (let ((_let_148 (not _let_28))) (let ((_let_149 (or _let_148 _let_147 _let_146 _let_143))) (let ((_let_150 (_let_41))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (tptp.product tptp.a _let_30 _let_142))) (let ((_let_153 (= _let_16 _let_19))) (let ((_let_154 (= tptp.d _let_30))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_144 false _let_63)))) (let ((_let_156 (tptp.product tptp.a _let_19 _let_19))) (let ((_let_157 (not _let_156))) (let ((_let_158 (tptp.product tptp.a _let_19 _let_16))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_159 _let_157 _let_153))) (let ((_let_161 (SYMM (ASSUME :args (_let_31))))) (let ((_let_162 (and _let_154 _let_50 _let_153 _let_144 _let_152))) (let ((_let_163 (ASSUME :args (_let_152)))) (let ((_let_164 (ASSUME :args (_let_144)))) (let ((_let_165 (SYMM _let_164))) (let 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_let_251 _let_172 _let_219 (not _let_227) _let_250))) _let_161 _let_62 _let_249 _let_107 _let_74 _let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_234 _let_231 _let_229 _let_233 _let_227 (not _let_235)))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_203)) _let_204 :args (_let_230 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_269 _let_267 _let_271 _let_228 (not _let_272)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_268 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_266 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_137)) :args _let_135)) _let_136 :args (_let_270 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_274 :args (_let_11 tptp.b tptp.c tptp.a _let_8 _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum Y Z V) false)) (not (= (tptp.sum U Z W) false))))) :args _let_273)) _let_274 :args (_let_272 false _let_44)) :args (_let_228 false _let_268 false _let_266 false _let_270 false _let_272)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_254)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_255 _let_168 _let_257 _let_259 _let_264) (SCOPE (TRUE_ELIM (TRANS (CONG _let_265 _let_263 _let_263 :args _let_120) (CONG _let_262 _let_262 _let_262 :args _let_120) (TRUE_INTRO _let_255))) :args (_let_240 _let_50 _let_47 _let_52 _let_214))) :args (_let_47 _let_214 _let_50 _let_52 _let_240))) :args (true _let_254)) :args ((or _let_253 _let_252 _let_251 _let_232 _let_250 (not _let_240)))) _let_62 _let_249 _let_74 _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product A A A) true))))) :args _let_241)) _let_242 :args (_let_240 false _let_4)) :args (_let_232 false _let_47 false _let_214 false _let_50 false _let_52 false _let_240)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (_let_6 tptp.b _let_11 _let_8 _let_8 tptp.a _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y V1) false)) _let_239 _let_238))) :args _let_236)) _let_237 :args (_let_235 false _let_39)) :args (_let_227 false _let_12 false _let_230 false _let_228 false _let_232 false _let_235)) _let_183 :args (_let_219 false _let_154 false _let_47 false _let_214 false _let_90 false _let_50 false _let_51 false _let_227 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (tptp.c _let_8 _let_14 tptp.a _let_7 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y Z V) false)) (not (= (tptp.product X Y U) false)) (not (= (tptp.product X V W) true))))) :args _let_225)) _let_226 :args (_let_224 false _let_42)) :args (_let_211 false _let_9 false _let_222 false _let_219 false _let_224)) _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_218)) :args _let_217)) _let_216 :args (_let_210 false _let_215)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_218)) :args _let_217)) _let_216 :args (_let_209 false _let_215)) :args (_let_197 false _let_47 false _let_214 false _let_90 false _let_213 false _let_212 false _let_50 false _let_51 false _let_211 false _let_52 false _let_210 false _let_209)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_206)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_180 _let_207) (SCOPE (TRUE_ELIM (TRANS (CONG _let_132 _let_131 _let_182 :args _let_208) (TRUE_INTRO _let_207))) :args (_let_51 _let_202))) :args (_let_202 _let_51))) :args (true _let_206)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_205)) :args _let_203)) _let_204 :args (_let_202 false _let_35)) _let_138 :args (_let_195 false _let_202 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (tptp.c tptp.b tptp.c _let_10 _let_15 tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum V1 V2 V4) true)) (not (= (tptp.product X V3 V4) false)) (not (= (tptp.sum Y Z V3) false))))) :args _let_200)) _let_201 :args (_let_199 false _let_40)) :args (_let_194 false _let_26 false _let_197 false _let_195 false _let_199)) :args (_let_189 false _let_49 false _let_51 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (tptp.c _let_15 _let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum Y X Z) true))))) :args _let_192)) _let_193 :args (_let_191 false _let_43)) :args (_let_186 false _let_189 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_15 tptp.c _let_48 tptp.a QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97))) _let_98 :args (_let_188 false _let_37)) :args (_let_53 false _let_184 false _let_186 false _let_188)) _let_183 _let_138 _let_74 _let_67 _let_62 _let_54 :args (false false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_47 true _let_1)) :args ((forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)) (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) _let_46 _let_45 (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)) (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)) _let_44 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))) _let_43 _let_42 _let_41 _let_40 _let_39 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))) _let_38 _let_37 _let_36 _let_35 _let_34 (forall ((A $$unsorted)) (tptp.sum A A tptp.additive_identity)) (forall ((A $$unsorted)) (= (tptp.add A tptp.additive_identity) A)) _let_33 _let_32 (= (tptp.multiply tptp.a tptp.b) tptp.c) _let_31 _let_29 _let_28 _let_27 _let_26 (tptp.product tptp.d tptp.a tptp.d) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.multiply A B))) (tptp.product A _let_1 _let_1))) _let_25 (tptp.product tptp.a tptp.b (tptp.multiply tptp.c tptp.b)) (tptp.product tptp.a _let_21 tptp.c) (forall ((A $$unsorted)) (tptp.product tptp.b (tptp.multiply tptp.a A) (tptp.multiply tptp.d A))) _let_24 (tptp.product tptp.b _let_16 tptp.d) (tptp.product tptp.b tptp.c _let_18) (tptp.product tptp.a tptp.d _let_22) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.multiply A B))) (tptp.product _let_1 B _let_1))) (forall ((A $$unsorted)) (tptp.product (tptp.multiply A tptp.a) tptp.b (tptp.multiply A tptp.c))) (tptp.product tptp.a tptp.b (tptp.multiply tptp.a tptp.c)) (tptp.product _let_22 tptp.b tptp.c) (tptp.product tptp.d tptp.b _let_21) (forall ((A $$unsorted)) (tptp.product (tptp.multiply A tptp.b) tptp.a (tptp.multiply A tptp.d))) _let_20 (tptp.product _let_18 tptp.a tptp.d) _let_17 (tptp.product tptp.a _let_8 _let_15) (tptp.product tptp.a _let_6 _let_14) (tptp.product tptp.b _let_6 (tptp.add tptp.d tptp.b)) (tptp.product tptp.b _let_8 _let_13) _let_12 (tptp.product _let_8 tptp.b _let_10) _let_9 (tptp.product _let_6 tptp.a _let_5) _let_4 _let_3 (tptp.product tptp.b tptp.a tptp.d) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.10/1.33 )
% 1.10/1.33 % SZS output end Proof for RNG039-1
% 1.10/1.34 % cvc5---1.0.5 exiting
% 1.10/1.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------