TSTP Solution File: HEN011-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 01:54:40 EDT 2023

% Result   : Unsatisfiable 25.85s 26.07s
% Output   : Proof 25.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 13:30:52 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iapMcotr03/cvc5---1.0.5_31653.p...
% 0.21/0.50  ------- get file name : TPTP file name is HEN011-4
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31653.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.28/15.64  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.46/20.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.53/25.73  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.85/26.07  % SZS status Unsatisfiable for HEN011-4
% 25.85/26.07  % SZS output start Proof for HEN011-4
% 25.85/26.07  (
% 25.85/26.07  (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide tptp.identity tptp.b))) (let ((_let_4 (tptp.divide _let_3 _let_2))) (let ((_let_5 (tptp.divide tptp.identity _let_3))) (let ((_let_6 (tptp.divide _let_1 _let_5))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X $$unsorted)) (let ((_let_1 (tptp.divide tptp.identity X))) (= (tptp.divide tptp.identity (tptp.divide tptp.identity _let_1)) _let_1))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal (tptp.divide X Y) Z)) (tptp.less_equal (tptp.divide X Z) Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y Z)) (tptp.less_equal X Z))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_13 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_15 (tptp.divide tptp.identity _let_5))) (let ((_let_16 (tptp.divide _let_15 _let_2))) (let ((_let_17 (tptp.less_equal _let_16 _let_6))) (let ((_let_18 (= _let_6 _let_16))) (let ((_let_19 (tptp.less_equal _let_6 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (not _let_17))) (let ((_let_22 (or _let_21 _let_20 _let_18))) (let ((_let_23 (tptp.less_equal (tptp.divide _let_15 _let_6) _let_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_17))) (let ((_let_26 (_let_10))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.divide X Y))) (let ((_let_29 (_let_28 (tptp.divide X Z)))) (let ((_let_30 (tptp.divide tptp.identity _let_2))) (let ((_let_31 (tptp.divide _let_30 _let_5))) (let ((_let_32 (tptp.divide _let_15 _let_31))) (let ((_let_33 (tptp.less_equal _let_32 _let_2))) (let ((_let_34 (= _let_1 _let_30))) (let ((_let_35 (tptp.divide _let_2 _let_5))) (let ((_let_36 (tptp.less_equal _let_35 _let_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.less_equal _let_32 _let_35))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_33))) (let ((_let_41 (_let_11))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.less_equal (tptp.divide _let_15 _let_35) _let_31))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_38))) (let ((_let_46 ((not (= (tptp.less_equal _let_28 Z) false))))) (let ((_let_47 (_let_13))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_50 (_let_14))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 ((tptp.divide X Y)))) (let ((_let_53 (forall ((X $$unsorted)) (let ((_let_1 (tptp.divide tptp.identity X))) (= _let_1 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_1))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_34 false _let_53)))) (let ((_let_57 (and _let_34 _let_33))) (let ((_let_58 (ASSUME :args (_let_33)))) (let ((_let_59 (APPLY_UF tptp.less_equal))) (let ((_let_60 (REFL :args (_let_2)))) (let ((_let_61 (APPLY_UF tptp.divide))) (let ((_let_62 (REFL :args (_let_5)))) (let ((_let_63 (ASSUME :args (_let_34)))) (let ((_let_64 (CONG (SYMM (SYMM _let_63)) _let_62 :args _let_61))) (let ((_let_65 (_let_12))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (= _let_3 _let_15))) (let ((_let_68 (not _let_18))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_67 false _let_53)))) (let ((_let_70 (ASSUME :args (_let_8)))) (let ((_let_71 (not _let_67))) (let ((_let_72 (and _let_8 _let_67))) (let ((_let_73 (_let_8 _let_67))) (let ((_let_74 (ASSUME :args (_let_67)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (CONG _let_75 _let_60 :args _let_61))) (let ((_let_77 (tptp.less_equal _let_31 _let_4))) (let ((_let_78 (tptp.less_equal (tptp.divide _let_30 _let_4) _let_5))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (tptp.divide _let_30 _let_16))) (let ((_let_82 (tptp.less_equal _let_81 _let_5))) (let ((_let_83 (tptp.divide _let_5 _let_2))) (let ((_let_84 (tptp.less_equal _let_83 _let_5))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.less_equal _let_81 _let_83))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_82))) (let ((_let_89 (tptp.less_equal (tptp.divide _let_30 _let_83) _let_16))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_86))) (let ((_let_92 (and _let_67 _let_82))) (let ((_let_93 (ASSUME :args (_let_82)))) (let ((_let_94 (and _let_34 _let_67 _let_77))) (let ((_let_95 (ASSUME :args (_let_77)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 _let_18 (not _let_22)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_95 _let_63 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG _let_64 _let_76 :args _let_59) (TRUE_INTRO _let_95))) :args (_let_77 _let_34 _let_67))) :args (_let_34 _let_67 _let_77))) :args (true _let_94)) _let_56 _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_77 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (REFL :args (_let_30)) (CONG (SYMM _let_75) _let_60 :args _let_61) :args _let_61) _let_62 :args _let_59) (TRUE_INTRO _let_93))) :args (_let_82 _let_67))) :args (_let_67 _let_82))) :args (true _let_92)) :args ((or _let_71 _let_78 (not _let_82)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_85 _let_87 _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_5 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_50)) _let_51 :args (_let_84 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_86 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity _let_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_89 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_30 _let_83 _let_16 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_26)) _let_27 :args (_let_91 false _let_10)) :args (_let_86 false _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_81 _let_83 _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_42 :args (_let_88 false _let_11)) :args (_let_82 false _let_84 false _let_86 false _let_88)) :args (_let_78 false _let_67 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_30 _let_4 _let_5 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_26)) _let_27 :args (_let_80 false _let_10)) :args (_let_77 false _let_78 false _let_80)) :args (_let_19 false _let_34 false _let_67 false _let_77)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_6)) _let_76 :args (=)) (FALSE_INTRO _let_70))) :args _let_73)) :args _let_73)) :args (true _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args (_let_71)) (REFL :args (_let_68)) :args (or))) _let_70 _let_69 :args (_let_68 true _let_7 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_16 _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65))) _let_66 :args (_let_22 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_17 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_58 _let_63) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (REFL :args (_let_15)) _let_64 :args _let_61) _let_60 :args _let_59) (TRUE_INTRO _let_58))) :args (_let_33 _let_34))) :args (_let_34 _let_33))) :args (true _let_57)) :args ((or (not _let_34) _let_23 (not _let_33)))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_37 _let_39 _let_33 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_2 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_50)) _let_51 :args (_let_36 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_38 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity _let_5 _let_2 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_15 _let_35 _let_31 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_26)) _let_27 :args (_let_45 false _let_10)) :args (_let_38 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_32 _let_35 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_42 :args (_let_40 false _let_11)) :args (_let_33 false _let_36 false _let_38 false _let_40)) :args (_let_23 false _let_34 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_15 _let_6 _let_2 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_26)) _let_27 :args (_let_25 false _let_10)) :args (_let_17 false _let_23 false _let_25)) :args (false false _let_19 true _let_18 false _let_22 false _let_17)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))) _let_14 _let_13 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_12 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)) (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)) (= (tptp.divide tptp.a tptp.zero) tptp.a) _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide Z Y) (tptp.divide Z X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide X Z) (tptp.divide Y Z)))) _let_9 (forall ((X $$unsorted)) (let ((_let_1 (tptp.divide tptp.identity X))) (= (tptp.divide _let_1 (tptp.divide tptp.identity _let_1)) _let_1))) _let_8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.85/26.07  )
% 25.85/26.07  % SZS output end Proof for HEN011-4
% 25.85/26.08  % cvc5---1.0.5 exiting
% 25.85/26.08  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------