TSTP Solution File: HEN004-4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 01:54:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n018.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 : Thu Aug 24 13:46:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6AkliMCobK/cvc5---1.0.5_5918.p...
% 0.21/0.49 ------- get file name : TPTP file name is HEN004-4
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5918.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Unsatisfiable for HEN004-4
% 0.21/0.55 % SZS output start Proof for HEN004-4
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (tptp.divide tptp.a tptp.zero))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_6 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_10 (= tptp.zero (tptp.divide tptp.a _let_1)))) (let ((_let_11 (tptp.divide tptp.zero tptp.a))) (let ((_let_12 (= tptp.zero _let_11))) (let ((_let_13 (tptp.divide tptp.a _let_11))) (let ((_let_14 (= tptp.zero (tptp.divide _let_13 _let_13)))) (let ((_let_15 (tptp.divide _let_1 _let_13))) (let ((_let_16 (tptp.divide tptp.zero _let_13))) (let ((_let_17 (tptp.divide tptp.a _let_13))) (let ((_let_18 (tptp.divide _let_17 _let_16))) (let ((_let_19 (= _let_18 _let_15))) (let ((_let_20 (= _let_17 _let_18))) (let ((_let_21 (tptp.less_equal tptp.a _let_1))) (let ((_let_22 (not _let_10))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 (= tptp.a _let_1))) (let ((_let_28 (not _let_21))) (let ((_let_29 (tptp.less_equal _let_1 tptp.a))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_27))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_35 (_let_7))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.divide X Y)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.a tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_29 false _let_7)))) (let ((_let_39 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide tptp.zero X) tptp.zero))))) :args (_let_39))) _let_40 :args (_let_12 false _let_39)))) (let ((_let_42 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X X))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X X) tptp.zero))))) :args (_let_42))) _let_43 :args (_let_14 false _let_42)))) (let ((_let_45 (tptp.less_equal _let_15 _let_18))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.less_equal _let_18 _let_15))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_19))) (let ((_let_50 (tptp.divide _let_18 _let_15))) (let ((_let_51 (tptp.less_equal _let_50 _let_18))) (let ((_let_52 (= tptp.zero _let_50))) (let ((_let_53 (tptp.divide _let_1 tptp.a))) (let ((_let_54 (= tptp.zero _let_53))) (let ((_let_55 (or _let_48 _let_52))) (let ((_let_56 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_60 (_let_6))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.a _let_13 tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Y) Z)))) :args _let_60)) _let_61 :args (_let_47 false _let_6)))) (let ((_let_63 (or _let_30 _let_54))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_30 _let_54 (not _let_63)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_63 false _let_56)) :args (_let_54 false _let_29 false _let_63)))) (let ((_let_65 (not _let_14))) (let ((_let_66 (not _let_12))) (let ((_let_67 (not _let_54))) (let ((_let_68 (and _let_54 _let_12 _let_14 _let_52 _let_51))) (let ((_let_69 (ASSUME :args (_let_51)))) (let ((_let_70 (APPLY_UF tptp.less_equal))) (let ((_let_71 (ASSUME :args (_let_52)))) (let ((_let_72 (ASSUME :args (_let_54)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (ASSUME :args (_let_14)))) (let ((_let_75 (SYMM (SYMM _let_74)))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (APPLY_UF tptp.divide))) (let ((_let_78 (REFL :args (_let_13)))) (let ((_let_79 (ASSUME :args (_let_12)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (REFL :args (tptp.a)))) (let ((_let_82 (CONG _let_81 (SYMM _let_80) :args _let_77))) (let ((_let_83 (CONG _let_82 _let_78 :args _let_77))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_46 _let_19 (not _let_49)))) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_71 _let_72 _let_74 _let_79) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_83 _let_76 _let_72) (TRANS _let_73 (SYMM (SYMM _let_71)))) (REFL :args (_let_18)) :args _let_70) (TRUE_INTRO _let_69))) :args (_let_51 _let_52 _let_54 _let_14 _let_12))) :args (_let_54 _let_12 _let_14 _let_52 _let_51))) :args (true _let_68)) :args ((or _let_67 _let_66 _let_65 _let_45 (not _let_52) (not _let_51)))) _let_64 _let_41 _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_48 _let_52 (not _let_55)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_18 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_52 false _let_47 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_18 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_51 false _let_7)) :args (_let_45 false _let_54 false _let_12 false _let_14 false _let_52 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_18 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32)) _let_33 :args (_let_49 false _let_5)) :args (_let_19 false _let_47 false _let_45 false _let_49)))) (let ((_let_85 (tptp.less_equal _let_17 _let_18))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.less_equal _let_18 _let_17))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86 _let_20))) (let ((_let_90 (tptp.less_equal _let_17 _let_16))) (let ((_let_91 (= tptp.zero (tptp.divide _let_53 _let_1)))) (let ((_let_92 (= tptp.zero _let_18))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_90))) (let ((_let_95 (not _let_19))) (let ((_let_96 (and _let_12 _let_14 _let_19))) (let ((_let_97 (ASSUME :args (_let_19)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (CONG _let_81 _let_80 :args _let_77))) (let ((_let_100 (CONG _let_99 _let_78 :args _let_77))) (let ((_let_101 (tptp.less_equal _let_53 _let_1))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_91))) (let ((_let_104 (and _let_54 _let_91 _let_12 _let_14 _let_90 _let_19))) (let ((_let_105 (ASSUME :args (_let_90)))) (let ((_let_106 (ASSUME :args (_let_91)))) (let ((_let_107 (and _let_12 _let_14 _let_19 _let_20))) (let ((_let_108 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_107)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_108 _let_97 _let_74) (SCOPE (TRANS _let_75 _let_100 _let_98 (SYMM _let_108) (CONG _let_81 _let_99 :args _let_77)) :args (_let_12 _let_20 _let_19 _let_14))) :args (_let_12 _let_14 _let_19 _let_20))) :args (true _let_107)) :args ((or _let_10 _let_66 _let_65 _let_95 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_86 _let_20 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_87 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_79 _let_72 _let_106 _let_74 _let_97) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_17)) (TRANS (SYMM _let_98) _let_83 _let_76 (SYMM (SYMM _let_106)) (CONG _let_73 _let_82 :args _let_77)) :args _let_70) (TRUE_INTRO _let_105))) :args (_let_90 _let_12 _let_54 _let_91 _let_14 _let_19))) :args (_let_54 _let_91 _let_12 _let_14 _let_90 _let_19))) :args (true _let_104)) :args ((or _let_67 _let_66 (not _let_91) _let_65 (not _let_90) _let_95 _let_85))) _let_64 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_91 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_101 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_53 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_103 false _let_56)) :args (_let_91 false _let_101 false _let_103)) _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_90 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_79 _let_74) (SCOPE (TRANS _let_75 _let_100 _let_98) :args (_let_19 _let_12 _let_14))) :args (_let_12 _let_14 _let_19))) :args (true _let_96)) :args ((or _let_66 _let_65 _let_92 _let_95))) _let_41 _let_44 _let_84 :args (_let_92 false _let_12 false _let_14 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divide X Y)))) :args _let_26)) _let_25 :args (_let_94 false _let_24)) :args (_let_90 false _let_92 false _let_94)) _let_84 :args (_let_85 false _let_54 false _let_12 false _let_91 false _let_14 false _let_90 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32))) _let_33 :args (_let_89 false _let_5)) :args (_let_20 false _let_87 false _let_85 false _let_89)) _let_84 _let_44 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_27 _let_30 _let_28 (not _let_31)))) (SYMM (ASSUME :args (_let_2))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_32))) _let_33 :args (_let_31 false _let_5)) :args (_let_28 true _let_27 false _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args _let_26)) _let_25 :args (_let_23 false _let_24)) :args (_let_22 true _let_21 false _let_23)) :args (false false _let_20 false _let_19 false _let_14 false _let_12 true _let_10)) :args (_let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_5 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for HEN004-4
% 0.21/0.56 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------