TSTP Solution File: HEN007-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN007-4 : 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 01:54:35 EDT 2023
% Result : Unsatisfiable 0.96s 1.18s
% Output : Proof 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 12:50:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7SweQx5oys/cvc5---1.0.5_15962.p...
% 0.21/0.49 ------- get file name : TPTP file name is HEN007-4
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15962.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.96/1.18 % SZS status Unsatisfiable for HEN007-4
% 0.96/1.18 % SZS output start Proof for HEN007-4
% 0.96/1.18 (
% 0.96/1.18 (let ((_let_1 (tptp.divide tptp.c tptp.a))) (let ((_let_2 (tptp.divide tptp.c tptp.b))) (let ((_let_3 (tptp.less_equal _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.less_equal tptp.a tptp.b))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal (tptp.divide X Y) Z)) (tptp.less_equal (tptp.divide X Z) Y))))) (let ((_let_7 (forall ((X $$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_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_13 (tptp.divide tptp.a tptp.b))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.divide _let_2 _let_1))) (let ((_let_16 (tptp.divide (tptp.divide tptp.c _let_1) (tptp.divide tptp.b _let_1)))) (let ((_let_17 (tptp.divide _let_16 _let_15))) (let ((_let_18 (= tptp.zero _let_17))) (let ((_let_19 (tptp.less_equal _let_15 _let_17))) (let ((_let_20 (tptp.less_equal _let_15 _let_13))) (let ((_let_21 (not _let_5))) (let ((_let_22 (or _let_21 _let_14))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_14 (not _let_22)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_22 false _let_23)) :args (_let_14 false _let_5 false _let_22)))) (let ((_let_28 (tptp.less_equal _let_16 _let_15))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_18))) (let ((_let_31 (_let_9))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_18 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.c _let_1 tptp.b QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31)) _let_32 :args (_let_28 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_30 false _let_23)) :args (_let_18 false _let_28 false _let_30)))) (let ((_let_35 (= _let_15 _let_17))) (let ((_let_36 (not _let_19))) (let ((_let_37 (tptp.less_equal _let_17 _let_15))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_35))) (let ((_let_40 (_let_8))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (= tptp.zero _let_15))) (let ((_let_43 (not _let_35))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_3))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_18))) (let ((_let_50 (REFL :args (_let_49)))) (let ((_let_51 (and _let_44 _let_18))) (let ((_let_52 (ASSUME :args (_let_44)))) (let ((_let_53 (REFL :args (_let_15)))) (let ((_let_54 (ASSUME :args (_let_18)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (tptp.divide _let_15 _let_2))) (let ((_let_57 (tptp.less_equal _let_56 _let_15))) (let ((_let_58 (= tptp.zero _let_56))) (let ((_let_59 (_let_10))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.divide X Y)))) (let ((_let_62 (tptp.less_equal _let_15 _let_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_58))) (let ((_let_65 (not _let_14))) (let ((_let_66 (and _let_14 _let_58 _let_18 _let_57))) (let ((_let_67 (ASSUME :args (_let_57)))) (let ((_let_68 (APPLY_UF tptp.less_equal))) (let ((_let_69 (ASSUME :args (_let_58)))) (let ((_let_70 (ASSUME :args (_let_14)))) (let ((_let_71 (SYMM (SYMM _let_70)))) (let ((_let_72 (TRANS _let_55 _let_71))) (let ((_let_73 (tptp.divide _let_2 _let_13))) (let ((_let_74 (tptp.less_equal _let_73 _let_1))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_20))) (let ((_let_77 (_let_6))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (tptp.divide _let_1 tptp.b))) (let ((_let_80 (tptp.less_equal _let_79 _let_1))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.less_equal _let_73 _let_79))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_74))) (let ((_let_85 (_let_7))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_87 _let_70 _let_54 _let_88) :args (_let_14 _let_18 _let_36 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_88)) (CONG _let_53 _let_72 :args _let_68) (TRUE_INTRO _let_87))) :args (_let_20 _let_14 _let_18 _let_36)) :args ((not (and _let_14 _let_18 _let_36 _let_20)) SB_LITERAL))) (CONG (REFL :args (_let_65)) _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_19))) (REFL :args ((not _let_20))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_20 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_81 _let_83 _let_74 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_80 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.c tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_31)) _let_32 :args (_let_82 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_73 _let_79 _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_equal X Y) false)) (not (= (tptp.less_equal Y Z) false))))) :args _let_85)) _let_86 :args (_let_84 false _let_7)) :args (_let_74 false _let_80 false _let_82 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 _let_13 _let_1 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_equal (tptp.divide X Y) Z) false))))) :args _let_77)) _let_78 :args (_let_76 false _let_6)) :args (_let_20 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 _let_35 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_69 _let_70 _let_54) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_72 (TRANS (SYMM _let_71) (SYMM (SYMM _let_69)))) _let_53 :args _let_68) (TRUE_INTRO _let_67))) :args (_let_57 _let_58 _let_14 _let_18))) :args (_let_14 _let_58 _let_18 _let_57))) :args (true _let_66)) :args ((or _let_65 (not _let_58) _let_49 _let_37 (not _let_57)))) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_58 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_62 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_26)) :args _let_25)) _let_24 :args (_let_64 false _let_23)) :args (_let_58 false _let_62 false _let_64)) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_57 false _let_10)) :args (_let_37 false _let_14 false _let_58 false _let_18 false _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_51)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_52) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_55 _let_53 :args (=)) (FALSE_INTRO _let_52)) :args ((= _let_35 false)))) :args (_let_18 _let_44))) :args (_let_44 _let_18))) :args (true _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_42))) _let_50 (REFL :args (_let_43)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_3 _let_44 (not _let_45)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 true _let_3 false _let_45)) _let_34 :args (_let_43 true _let_42 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_17 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_40))) _let_41 :args (_let_39 false _let_8)) :args (_let_36 false _let_37 true _let_35 false _let_39)) _let_34 _let_27 :args (false false _let_20 true _let_19 false _let_18 false _let_14)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_8 (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_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.96/1.18 )
% 0.96/1.19 % SZS output end Proof for HEN007-4
% 0.96/1.19 % cvc5---1.0.5 exiting
% 0.96/1.19 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------