TSTP Solution File: HEN010-4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 01:54:38 EDT 2023
% Result : Unsatisfiable 0.22s 0.68s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n012.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 24 13:28:42 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.z7SOhpPvxB/cvc5---1.0.5_21788.p...
% 0.22/0.53 ------- get file name : TPTP file name is HEN010-4
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21788.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.68 % SZS status Unsatisfiable for HEN010-4
% 0.22/0.68 % SZS output start Proof for HEN010-4
% 0.22/0.68 (
% 0.22/0.68 (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide _let_1 _let_2))) (let ((_let_4 (= _let_1 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted)) (let ((_let_1 (tptp.divide tptp.identity X))) (= (tptp.divide tptp.identity (tptp.divide tptp.identity _let_1)) _let_1))))) (let ((_let_7 (forall ((X $$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_8 (tptp.divide tptp.a tptp.zero))) (let ((_let_9 (= _let_8 tptp.a))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (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 $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_17 (= tptp.zero (tptp.divide tptp.zero tptp.zero)))) (let ((_let_18 (tptp.divide tptp.identity _let_2))) (let ((_let_19 (= _let_1 _let_18))) (let ((_let_20 (= tptp.zero (tptp.divide _let_1 _let_3)))) (let ((_let_21 (tptp.divide _let_2 _let_2))) (let ((_let_22 (= tptp.zero _let_21))) (let ((_let_23 (tptp.divide _let_18 _let_3))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (forall ((X $$unsorted)) (let ((_let_1 (tptp.divide tptp.identity X))) (= _let_1 (tptp.divide tptp.identity (tptp.divide tptp.identity _let_1))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.less_equal _let_1 _let_3))) (let ((_let_30 (not _let_20))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_29))) (let ((_let_35 (tptp.less_equal _let_3 _let_1))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_4))) (let ((_let_38 (_let_12))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_41 (_let_14))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.divide X Y)))) (let ((_let_44 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X X))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X X) tptp.zero))))) :args (_let_44))) _let_45 :args (_let_22 false _let_44)))) (let ((_let_47 (tptp.less_equal _let_21 _let_23))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.less_equal _let_23 _let_21))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48 _let_24))) (let ((_let_52 (tptp.divide tptp.a _let_2))) (let ((_let_53 (tptp.divide _let_23 _let_52))) (let ((_let_54 (tptp.less_equal _let_53 _let_23))) (let ((_let_55 (= tptp.zero _let_53))) (let ((_let_56 (= tptp.zero (tptp.divide _let_8 tptp.a)))) (let ((_let_57 (= tptp.a _let_8))) (let ((_let_58 (tptp.less_equal _let_23 _let_52))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_55))) (let ((_let_61 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_65 (tptp.less_equal (tptp.divide _let_18 _let_52) _let_3))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_58))) (let ((_let_68 (_let_7))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_13))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (tptp.less_equal _let_8 tptp.a))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_56))) (let ((_let_75 (SYMM (ASSUME :args (_let_9))))) (let ((_let_76 (not _let_22))) (let ((_let_77 (and _let_57 _let_56 _let_55 _let_22 _let_54))) (let ((_let_78 (ASSUME :args (_let_54)))) (let ((_let_79 (ASSUME :args (_let_55)))) (let ((_let_80 (ASSUME :args (_let_56)))) (let ((_let_81 (APPLY_UF tptp.divide))) (let ((_let_82 (SYMM _let_75))) (let ((_let_83 (REFL :args (tptp.zero)))) (let ((_let_84 (CONG (REFL :args (_let_8)) (TRANS (CONG _let_82 _let_83 :args _let_81) _let_82) :args _let_81))) (let ((_let_85 (ASSUME :args (_let_22)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (not (= tptp.zero _let_23)))) (let ((_let_88 (ASSUME :args (_let_17)))) (let ((_let_89 (SYMM (SYMM _let_88)))) (let ((_let_90 (ASSUME :args (_let_24)))) (let ((_let_91 (ASSUME :args (_let_30)))) (let ((_let_92 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_85 _let_90 (MODUS_PONENS (AND_INTRO _let_91 _let_92) (SCOPE (FALSE_ELIM (TRANS (CONG _let_83 (CONG (SYMM _let_92) (REFL :args (_let_3)) :args _let_81) :args (=)) (FALSE_INTRO _let_91))) :args (_let_30 _let_19)))) :args (_let_17 _let_19 _let_30 _let_22 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_87)))) (TRUE_INTRO (TRANS _let_89 (SYMM (TRANS (SYMM (SYMM _let_90)) _let_86 _let_89)))))) :args (_let_17 _let_22 _let_24 _let_87)) :args ((not (and _let_17 _let_19 _let_30 _let_22 _let_24)) SB_LITERAL))) (CONG (REFL :args ((not _let_17))) (REFL :args ((not _let_19))) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_20))) (REFL :args (_let_76)) (REFL :args ((not _let_24))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_48 _let_24 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.identity _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) :args _let_70)) _let_71 :args (_let_49 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_79 _let_80 _let_75 _let_85) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_86 _let_80 (SYMM _let_84)) (TRANS _let_84 (SYMM _let_80) (SYMM (SYMM _let_79)))) (REFL :args (_let_23)) :args (APPLY_UF tptp.less_equal)) (TRUE_INTRO _let_78))) :args (_let_54 _let_55 _let_56 _let_57 _let_22))) :args (_let_57 _let_56 _let_55 _let_22 _let_54))) :args (true _let_77)) :args ((or (not _let_57) (not _let_56) (not _let_55) _let_76 _let_47 (not _let_54)))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_56 (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_72 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_74 false _let_61)) :args (_let_56 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_55 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_58 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.identity _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Y) Z)))) :args _let_70)) _let_71 :args (_let_65 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_18 _let_52 _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_equal (tptp.divide X Y) Z) false))))) :args _let_68)) _let_69 :args (_let_67 false _let_7)) :args (_let_58 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_23 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_62 :args (_let_60 false _let_61)) :args (_let_55 false _let_58 false _let_60)) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_23 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_54 false _let_14)) :args (_let_47 false _let_57 false _let_56 false _let_55 false _let_22 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_23 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_51 false _let_12)) :args (_let_24 false _let_49 false _let_47 false _let_51)) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_29 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_4 _let_36 _let_34 (not _let_37)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_35 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38))) _let_39 :args (_let_37 false _let_12)) :args (_let_34 true _let_4 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_30 true _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity X)))))) :args (_let_27))) _let_28 :args (_let_19 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide tptp.zero X) tptp.zero))))) :args (_let_25))) _let_26 :args (_let_17 false _let_25)) :args (false false _let_24 false _let_22 true _let_20 false _let_19 false _let_17)) :args (_let_16 _let_15 _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 $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y Z)) (tptp.less_equal X Z))) _let_7 (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_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.68 )
% 0.22/0.69 % SZS output end Proof for HEN010-4
% 0.22/0.69 % cvc5---1.0.5 exiting
% 0.22/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------