TSTP Solution File: HEN003-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 01:54:31 EDT 2023
% Result : Unsatisfiable 0.22s 0.59s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 13:24:47 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3vYdjIB1pB/cvc5---1.0.5_9573.p...
% 0.22/0.52 ------- get file name : TPTP file name is HEN003-4
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9573.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.59 % SZS status Unsatisfiable for HEN003-4
% 0.22/0.59 % SZS output start Proof for HEN003-4
% 0.22/0.60 (
% 0.22/0.60 (let ((_let_1 (tptp.divide tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.zero)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_8 (tptp.divide tptp.a _let_1))) (let ((_let_9 (tptp.divide _let_8 tptp.a))) (let ((_let_10 (tptp.divide _let_1 tptp.a))) (let ((_let_11 (tptp.divide _let_1 _let_10))) (let ((_let_12 (tptp.less_equal _let_11 _let_9))) (let ((_let_13 (= _let_9 _let_11))) (let ((_let_14 (tptp.less_equal _let_9 _let_11))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_12))) (let ((_let_17 (or _let_16 _let_15 _let_13))) (let ((_let_18 (_let_4))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (_let_3))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_23 (= tptp.zero _let_9))) (let ((_let_24 (= tptp.zero _let_11))) (let ((_let_25 (not _let_13))) (let ((_let_26 (tptp.less_equal _let_8 tptp.a))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_23))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_33 (_let_5))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.divide X Y)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_23 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_26 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_8 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_23 false _let_26 false _let_28)))) (let ((_let_37 (tptp.less_equal _let_1 _let_10))) (let ((_let_38 (not _let_24))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (= _let_1 _let_10))) (let ((_let_43 (not _let_37))) (let ((_let_44 (tptp.less_equal _let_10 _let_1))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_42))) (let ((_let_47 (= tptp.zero _let_10))) (let ((_let_48 (= tptp.zero _let_1))) (let ((_let_49 (not _let_42))) (let ((_let_50 (tptp.less_equal _let_1 tptp.a))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_47))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_47 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_50 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_52 false _let_29)) :args (_let_47 false _let_50 false _let_52)))) (let ((_let_54 (SYMM (ASSUME :args (_let_2))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_48))) (let ((_let_57 (and _let_56 _let_47))) (let ((_let_58 (=))) (let ((_let_59 (ASSUME :args (_let_47)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (not _let_23))) (let ((_let_62 (and _let_23 _let_38))) (let ((_let_63 (_let_23 _let_38))) (let ((_let_64 (ASSUME :args (_let_38)))) (let ((_let_65 (REFL :args (_let_11)))) (let ((_let_66 (ASSUME :args (_let_23)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (tptp.divide _let_11 _let_1))) (let ((_let_69 (tptp.less_equal _let_68 _let_11))) (let ((_let_70 (= tptp.zero _let_68))) (let ((_let_71 (tptp.less_equal _let_11 _let_1))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (and _let_47 _let_23 _let_70 _let_69))) (let ((_let_75 (ASSUME :args (_let_69)))) (let ((_let_76 (ASSUME :args (_let_70)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 _let_13 (not _let_17)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_76 _let_59 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_67 _let_59) (TRANS _let_60 (SYMM (SYMM _let_76)))) _let_65 :args (APPLY_UF tptp.less_equal)) (TRUE_INTRO _let_75))) :args (_let_69 _let_70 _let_47 _let_23))) :args (_let_47 _let_23 _let_70 _let_69))) :args (true _let_74)) _let_53 _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_70 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_71 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_11 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_31)) _let_30 :args (_let_73 false _let_29)) :args (_let_70 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_69 false _let_5)) :args (_let_14 false _let_47 false _let_23 false _let_70 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_64) (SCOPE (FALSE_ELIM (TRANS (CONG _let_67 _let_65 :args _let_58) (FALSE_INTRO _let_64))) :args _let_63)) :args _let_63)) :args (true _let_62)) (CONG (REFL :args (_let_61)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_24))) (REFL :args (_let_25)) :args _let_55)) :args ((or _let_24 _let_61 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_37 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_43 _let_42 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_44 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_54) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_60 (REFL :args (_let_1)) :args _let_58) (FALSE_INTRO _let_54)) :args ((= _let_42 false)))) :args (_let_47 _let_56))) :args (_let_56 _let_47))) :args (true _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_48))) (REFL :args ((not _let_47))) (REFL :args (_let_49)) :args _let_55)) _let_54 _let_53 :args (_let_49 true _let_48 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_10 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20))) _let_21 :args (_let_46 false _let_3)) :args (_let_43 false _let_44 true _let_42 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_1 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_38 true _let_37 false _let_39)) _let_36 :args (_let_25 true _let_24 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_11 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20))) _let_21 :args (_let_17 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Y) Z)))) :args _let_18)) _let_19 :args (_let_12 false _let_4)) :args (false false _let_14 true _let_13 false _let_17 false _let_12)) :args (_let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_3 (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)) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.60 )
% 0.22/0.60 % SZS output end Proof for HEN003-4
% 0.22/0.60 % cvc5---1.0.5 exiting
% 0.22/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------