TSTP Solution File: RNG007-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 13:49:25 EDT 2023

% Result   : Unsatisfiable 1.16s 1.39s
% Output   : Proof 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 01:46:14 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kGWqKnV8Rh/cvc5---1.0.5_10308.p...
% 0.21/0.51  ------- get file name : TPTP file name is RNG007-1
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10308.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.16/1.39  % SZS status Unsatisfiable for RNG007-1
% 1.16/1.39  % SZS output start Proof for RNG007-1
% 1.16/1.39  (
% 1.16/1.39  (let ((_let_1 (tptp.sum tptp.a tptp.a tptp.additive_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted)) (tptp.product X X X)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_5 (forall ((Y $$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_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 $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_8 (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 ((_let_9 (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_10 (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_13 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_14 (tptp.add tptp.a tptp.a))) (let ((_let_15 (tptp.sum _let_14 tptp.a _let_13))) (let ((_let_16 (tptp.additive_inverse tptp.a))) (let ((_let_17 (tptp.sum _let_14 _let_16 _let_13))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.sum _let_14 _let_16 tptp.a))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.sum _let_14 _let_14 _let_14))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18 _let_15))) (let ((_let_24 (_let_9))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (tptp.product _let_14 _let_14 _let_14))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.sum tptp.a tptp.a _let_14))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.product _let_14 tptp.a _let_14))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_32 _let_30 _let_28 _let_21))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.product tptp.a tptp.a tptp.a))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_39 _let_30 _let_30 _let_31))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_11))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_44 :args (_let_29 false _let_11)))) (let ((_let_46 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_47 (tptp.sum _let_14 tptp.a tptp.a))) (let ((_let_48 (= tptp.a _let_13))) (let ((_let_49 (not _let_15))) (let ((_let_50 (tptp.sum _let_16 tptp.a tptp.additive_identity))) (let ((_let_51 (not _let_50))) (let ((_let_52 (not _let_47))) (let ((_let_53 (tptp.sum _let_16 _let_14 tptp.a))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_51 _let_1))) (let ((_let_56 (_let_8))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (tptp.sum _let_16 _let_14 _let_13))) (let ((_let_59 (tptp.sum tptp.additive_identity tptp.a _let_13))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_51 _let_30 _let_60 _let_58))) (let ((_let_62 (not (= (tptp.sum U Z W) false)))) (let ((_let_63 (not (= (tptp.sum X Y U) false)))) (let ((_let_64 (_let_10))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_46) :args _let_64)) _let_65 :args (_let_50 false _let_10)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.additive_identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_44 :args (_let_59 false _let_11)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_51 _let_30 _let_58 (not _let_61)))) _let_67 _let_66 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_16 tptp.a tptp.additive_identity tptp.a _let_14 _let_13 QUANTIFIERS_INST_E_MATCHING (_let_63 (not (= (tptp.sum Y Z V) false)) _let_62))) :args _let_24)) _let_25 :args (_let_61 false _let_9)) :args (_let_58 false _let_59 false _let_50 false _let_29 false _let_61)))) (let ((_let_69 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_60 _let_70 _let_48))) (let ((_let_72 (_let_4))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_12))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_60 _let_48 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_46) :args _let_74)) _let_75 :args (_let_69 false _let_12)) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.additive_identity tptp.a _let_13 tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X Y V) false))))) :args _let_72))) _let_73 :args (_let_71 false _let_4)) :args (_let_48 false _let_69 false _let_59 false _let_71)))) (let ((_let_77 (and _let_48 _let_58))) (let ((_let_78 (ASSUME :args (_let_58)))) (let ((_let_79 (APPLY_UF tptp.sum))) (let ((_let_80 (ASSUME :args (_let_48)))) (let ((_let_81 (SYMM (SYMM _let_80)))) (let ((_let_82 (REFL :args (_let_14)))) (let ((_let_83 (REFL :args (_let_16)))) (let ((_let_84 (and _let_48 _let_52))) (let ((_let_85 (ASSUME :args (_let_52)))) (let ((_let_86 (not _let_58))) (let ((_let_87 (or _let_86 _let_17))) (let ((_let_88 (_let_7))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_17 (not _let_87)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_16 _let_14 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum X Y Z) false))))) :args _let_88)) _let_89 :args (_let_87 false _let_7)) :args (_let_17 false _let_58 false _let_87)))) (let ((_let_91 (and _let_48 _let_17))) (let ((_let_92 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_14 _let_14 _let_14 _let_16 tptp.a _let_13 QUANTIFIERS_INST_E_MATCHING (_let_63 _let_62 (not (= (tptp.sum X V W) true))))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_18 _let_20 _let_15 _let_22 _let_26))) _let_90 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG _let_82 _let_83 _let_81 :args _let_79) (TRUE_INTRO _let_92))) :args (_let_17 _let_48))) :args (_let_48 _let_17))) :args (true _let_91)) _let_76 _let_90 :args (_let_19 false _let_48 false _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_80) (SCOPE (FALSE_ELIM (TRANS (CONG _let_82 (REFL :args (tptp.a)) (SYMM _let_81) :args _let_79) (FALSE_INTRO _let_85))) :args (_let_52 _let_48))) :args (_let_48 _let_52))) :args (true _let_84)) (CONG (REFL :args ((not _let_48))) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_47))) (REFL :args (_let_49)) :args (or))) _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_1 _let_51 _let_54 _let_52 (not _let_55)))) (ASSUME :args (_let_2)) _let_66 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG _let_83 _let_82 _let_81 :args _let_79) (TRUE_INTRO _let_78))) :args (_let_58 _let_48))) :args (_let_48 _let_58))) :args (true _let_77)) _let_76 _let_68 :args (_let_53 false _let_48 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_16 _let_14 tptp.a tptp.a tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X V W) false)) (not (= (tptp.sum U Z W) true)) (not (= (tptp.sum X Y U) false))))) :args _let_56)) _let_57 :args (_let_55 false _let_8)) :args (_let_52 true _let_1 false _let_50 false _let_53 false _let_55)) :args (_let_49 false _let_48 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_33))) :args ((or _let_30 _let_32 _let_28 _let_21 (not _let_33)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_40))) :args ((or _let_39 _let_30 _let_31 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_46) :args _let_36)) _let_37 :args (_let_38 false _let_3)) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.a tptp.a tptp.a tptp.a _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum Y Z V3) false)) (not (= (tptp.product Y X V1) false)) (not (= (tptp.sum V1 V2 V4) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_5)) :args (_let_31 false _let_38 false _let_29 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product X X X) true))))) :args _let_36)) _let_37 :args (_let_27 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_14 tptp.a _let_14 tptp.a _let_14 _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y V1) false)) (not (= (tptp.product X Z V2) false)) (not (= (tptp.product X V3 V4) false))))) :args _let_34)) _let_35 :args (_let_33 false _let_6)) :args (_let_21 false _let_29 false _let_31 false _let_27 false _let_33)) :args (_let_26 false _let_17 false _let_19 true _let_15 false _let_21)) _let_25 :args (false true _let_23 false _let_9)) :args (_let_12 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) _let_11 _let_10 (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)) _let_9 _let_8 _let_7 (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 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))) (forall ((Y $$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_5 _let_4 (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_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.16/1.39  )
% 1.16/1.40  % SZS output end Proof for RNG007-1
% 1.16/1.40  % cvc5---1.0.5 exiting
% 1.16/1.40  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------