TSTP Solution File: RNG001-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 13:49:22 EDT 2023

% Result   : Unsatisfiable 20.39s 20.72s
% Output   : Proof 20.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n017.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 01:32:11 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Kp3yWnJAaZ/cvc5---1.0.5_22440.p...
% 0.20/0.50  ------- get file name : TPTP file name is RNG001-2
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22440.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.28/10.52  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.36/15.54  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.35/20.56  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.39/20.72  % SZS status Unsatisfiable for RNG001-2
% 20.39/20.72  % SZS output start Proof for RNG001-2
% 20.39/20.72  (
% 20.39/20.72  (let ((_let_1 (tptp.product tptp.a tptp.additive_identity tptp.additive_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (tptp.equalish U V))))) (let ((_let_4 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))))) (let ((_let_5 (forall ((X $$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_6 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.equalish A B)) (not (tptp.sum C D A)) (tptp.sum C D B))))) (let ((_let_14 (tptp.multiply tptp.a tptp.additive_identity))) (let ((_let_15 (tptp.sum _let_14 tptp.additive_identity tptp.additive_identity))) (let ((_let_16 (tptp.additive_inverse _let_14))) (let ((_let_17 (tptp.sum _let_14 _let_16 tptp.additive_identity))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.sum _let_14 _let_14 _let_14))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_18 _let_15))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (_let_8))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.sum tptp.additive_identity _let_14 _let_14))) (let ((_let_28 (tptp.sum _let_14 _let_14 tptp.additive_identity))) (let ((_let_29 (tptp.sum tptp.additive_identity _let_14 tptp.additive_identity))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_27))) (let ((_let_32 (not _let_15))) (let ((_let_33 (or _let_32 _let_31 _let_30 _let_28))) (let ((_let_34 (tptp.sum _let_14 tptp.additive_identity _let_14))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_31 _let_35 _let_32 _let_29))) (let ((_let_37 (tptp.product tptp.a tptp.additive_identity _let_14))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_38 _let_40 _let_38 _let_27))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_12))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.a QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_49)) _let_50 :args (_let_37 false _let_10)))) (let ((_let_52 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_53 (tptp.sum _let_52 _let_52 tptp.additive_identity))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.product tptp.additive_identity tptp.additive_identity _let_52))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_58 _let_56 _let_54 _let_41))) (let ((_let_60 (_let_5))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (tptp.sum _let_52 _let_52 _let_52))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.equalish _let_52 tptp.additive_identity))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_53))) (let ((_let_67 (_let_13))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (tptp.sum tptp.additive_identity tptp.additive_identity _let_52))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_56 _let_64))) (let ((_let_72 (_let_3))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (tptp.equalish tptp.additive_identity _let_52))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_56 _let_69))) (let ((_let_77 (tptp.additive_inverse _let_52))) (let ((_let_78 (tptp.sum _let_77 _let_52 _let_52))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.sum _let_77 _let_52 tptp.additive_identity))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79 _let_74))) (let ((_let_83 (tptp.sum tptp.additive_identity _let_52 _let_52))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_81 _let_63 _let_84 _let_78))) (let ((_let_86 (_let_9))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (_let_52 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_88) :args _let_86)) _let_87 :args (_let_80 false _let_9)))) (let ((_let_90 (or _let_58 _let_58 _let_56 _let_58 _let_62))) (let ((_let_91 (_let_6))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_55 false _let_12)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_49)) _let_50 :args (_let_57 false _let_10)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_90))) :args ((or _let_58 _let_56 _let_62 (not _let_90)))) _let_94 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.additive_identity tptp.additive_identity _let_52 tptp.additive_identity _let_52 tptp.additive_identity _let_52 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) _let_92 :args (_let_90 false _let_6)) :args (_let_62 false _let_57 false _let_55 false _let_90)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_59))) :args ((or _let_41 _let_58 _let_56 _let_54 (not _let_59)))) _let_94 _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_53 _let_63 _let_65 (not _let_66)))) _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_56 _let_64 _let_70 (not _let_71)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_56 _let_75 _let_69 (not _let_76)))) _let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_74 _let_81 _let_79 (not _let_82)))) _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_63 _let_84 _let_81 _let_78 (not _let_85)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_88) :args _let_46)) _let_47 :args (_let_83 false _let_12)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_77 _let_52 tptp.additive_identity _let_52 _let_52 _let_52 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_85 false _let_7)) :args (_let_78 false _let_62 false _let_83 false _let_80 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_77 _let_52 tptp.additive_identity _let_52 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_72)) _let_73 :args (_let_82 false _let_3)) :args (_let_74 false _let_80 false _let_78 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.additive_identity _let_52 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_67)) _let_68 :args (_let_76 false _let_13)) :args (_let_69 false _let_55 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.additive_identity tptp.additive_identity _let_52 tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_72)) _let_73 :args (_let_71 false _let_3)) :args (_let_64 false _let_55 false _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_52 tptp.additive_identity _let_52 _let_52 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_67)) _let_68 :args (_let_66 false _let_13)) :args (_let_53 false _let_62 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.additive_identity tptp.additive_identity _let_52 tptp.additive_identity _let_52 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60)) _let_61 :args (_let_59 false _let_5)) :args (_let_41 false _let_57 false _let_55 false _let_53 false _let_59)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_43))) :args ((or _let_42 _let_38 _let_40 _let_27 (not _let_43)))) _let_96 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args _let_46)) _let_47 :args (_let_39 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.a _let_14 tptp.a _let_14 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44)) _let_45 :args (_let_43 false _let_4)) :args (_let_27 false _let_41 false _let_37 false _let_39 false _let_43)))) (let ((_let_98 (not _let_28))) (let ((_let_99 (or _let_38 _let_38 _let_56 _let_98 _let_1))) (let ((_let_100 (tptp.sum tptp.a tptp.additive_identity tptp.a))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_38 _let_42 _let_101 _let_38 _let_34))) (let ((_let_103 (_let_11))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (or _let_38 _let_38 _let_56 _let_38 _let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_14 _let_14 _let_14 _let_16 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_21))) :args ((or _let_20 _let_15 _let_18 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_105))) :args ((or _let_56 _let_38 _let_19 (not _let_105)))) _let_93 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.a tptp.additive_identity _let_14 tptp.additive_identity _let_14 tptp.additive_identity _let_14 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_91)) _let_92 :args (_let_105 false _let_6)) :args (_let_19 false _let_55 false _let_37 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_31 _let_29 _let_32 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.additive_identity _let_14 _let_14 tptp.additive_identity _let_14 tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_102))) :args ((or _let_42 _let_38 _let_101 _let_34 (not _let_102)))) _let_96 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_48) :args _let_103)) _let_104 :args (_let_100 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a tptp.additive_identity _let_14 tptp.additive_identity tptp.additive_identity tptp.a _let_14 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44)) _let_45 :args (_let_102 false _let_4)) :args (_let_34 false _let_41 false _let_37 false _let_100 false _let_102)) _let_97 (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_31 _let_28 _let_30 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_14 tptp.additive_identity tptp.additive_identity _let_14 _let_14 tptp.additive_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_99))) :args ((or _let_1 _let_56 _let_38 _let_98 (not _let_99)))) (ASSUME :args (_let_2)) _let_93 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a tptp.additive_identity _let_14 tptp.additive_identity _let_14 tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_60)) _let_61 :args (_let_99 false _let_5)) :args (_let_98 true _let_1 false _let_55 false _let_37 false _let_99)) _let_97 :args (_let_32 false _let_36 false _let_34 false _let_27 true _let_29 false _let_33 true _let_28 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_14 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_25)) _let_26 :args (_let_17 false _let_8)) :args (_let_24 false _let_19 true _let_15 false _let_17)) _let_23 :args (false true _let_21 false _let_7)) :args (_let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))) _let_9 _let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))) (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))) (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_6 _let_5 _let_4 (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_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.39/20.72  )
% 20.39/20.72  % SZS output end Proof for RNG001-2
% 20.39/20.73  % cvc5---1.0.5 exiting
% 20.39/20.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------