TSTP Solution File: HEN008-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN008-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 01:54:36 EDT 2023
% Result : Unsatisfiable 0.46s 0.64s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 13:41:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UKFRF9HEv1/cvc5---1.0.5_9555.p...
% 0.20/0.49 ------- get file name : TPTP file name is HEN008-4
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9555.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.64 % SZS status Unsatisfiable for HEN008-4
% 0.46/0.64 % SZS output start Proof for HEN008-4
% 0.46/0.64 (
% 0.46/0.64 (let ((_let_1 (tptp.divide tptp.b tptp.c))) (let ((_let_2 (tptp.divide tptp.a tptp.c))) (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 $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_8 (forall ((X $$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_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_12 (tptp.divide tptp.a tptp.b))) (let ((_let_13 (= tptp.zero _let_12))) (let ((_let_14 (= tptp.zero (tptp.divide tptp.zero tptp.c)))) (let ((_let_15 (tptp.divide _let_12 tptp.c))) (let ((_let_16 (tptp.divide _let_2 _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_16))) (let ((_let_20 (tptp.less_equal _let_17 _let_16))) (let ((_let_21 (not _let_5))) (let ((_let_22 (or _let_21 _let_13))) (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_11)) (MACRO_SR_EQ_INTRO :args (_let_11 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_13 (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_13 false _let_5 false _let_22)))) (let ((_let_28 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide tptp.zero X) tptp.zero))))) :args (_let_28))) _let_29 :args (_let_14 false _let_28)))) (let ((_let_31 (tptp.less_equal _let_16 _let_15))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_18))) (let ((_let_34 (_let_8))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) :args _let_34)) _let_35 :args (_let_31 false _let_8)))) (let ((_let_37 (= _let_16 _let_15))) (let ((_let_38 (not _let_19))) (let ((_let_39 (or _let_32 _let_38 _let_37))) (let ((_let_40 (_let_7))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (= tptp.zero _let_16))) (let ((_let_43 (not _let_37))) (let ((_let_44 (not _let_42))) (let ((_let_45 (or _let_44 _let_3))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (not _let_14))) (let ((_let_49 (not _let_13))) (let ((_let_50 (or))) (let ((_let_51 (REFL :args (_let_48)))) (let ((_let_52 (REFL :args (_let_49)))) (let ((_let_53 (and _let_13 _let_44 _let_14))) (let ((_let_54 (ASSUME :args (_let_44)))) (let ((_let_55 (REFL :args (_let_16)))) (let ((_let_56 (ASSUME :args (_let_14)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (ASSUME :args (_let_13)))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (CONG _let_59 (REFL :args (tptp.c)) :args (APPLY_UF tptp.divide)))) (let ((_let_61 (_let_9))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (not _let_20))) (let ((_let_64 (not _let_18))) (let ((_let_65 (ASSUME :args (_let_20)))) (let ((_let_66 (ASSUME :args (_let_18)))) (let ((_let_67 (ASSUME :args (_let_38)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_65 _let_66 _let_58 _let_56 _let_67) :args (_let_13 _let_14 _let_18 _let_38 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_67)) (CONG (TRANS (TRANS _let_60 _let_57 _let_58) (TRANS _let_59 (SYMM (SYMM _let_66)))) _let_55 :args (APPLY_UF tptp.less_equal)) (TRUE_INTRO _let_65))) :args (_let_20 _let_18 _let_13 _let_14 _let_38)) :args ((not (and _let_13 _let_14 _let_18 _let_38 _let_20)) SB_LITERAL))) (CONG _let_52 _let_51 (REFL :args (_let_64)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_19))) (REFL :args (_let_63)) :args _let_50)) :args ((or _let_49 _let_48 _let_19 _let_64 _let_63))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divide X Y)))) :args _let_61)) _let_62 :args (_let_20 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_32 _let_38 _let_37 (not _let_39)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_58 _let_54) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS _let_60 _let_57) _let_55 :args (=)) (FALSE_INTRO _let_54)) :args ((= _let_37 false)))) :args (_let_14 _let_13 _let_44))) :args (_let_13 _let_44 _let_14))) :args (true _let_53)) (CONG _let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_42))) _let_51 (REFL :args (_let_43)) :args _let_50)) :args ((or _let_42 _let_49 _let_48 _let_43))) (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_27 _let_30 :args (_let_43 true _let_42 false _let_13 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_40)) _let_41 :args (_let_39 false _let_7)) :args (_let_38 false _let_31 true _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_18 (not _let_33)))) _let_36 (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_33 false _let_23)) :args (_let_18 false _let_31 false _let_33)) _let_30 _let_27 :args (false false _let_20 true _let_19 false _let_18 false _let_14 false _let_13)) :args (_let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_7 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_6 (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)) (= (tptp.divide tptp.a tptp.zero) tptp.a) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y Z)) (tptp.less_equal X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal (tptp.divide X Y) Z)) (tptp.less_equal (tptp.divide X Z) Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide Z Y) (tptp.divide Z X)))) _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.64 )
% 0.46/0.64 % SZS output end Proof for HEN008-4
% 0.46/0.65 % cvc5---1.0.5 exiting
% 0.46/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------