TSTP Solution File: HEN008-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 0.22s 0.56s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 13:12:50 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.B8zZB1M2k4/cvc5---1.0.5_21808.p...
% 0.22/0.51 ------- get file name : TPTP file name is HEN008-3
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21808.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56 % SZS status Unsatisfiable for HEN008-3
% 0.22/0.56 % SZS output start Proof for HEN008-3
% 0.22/0.56 (
% 0.22/0.56 (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 $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_8 (forall ((X $$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.divide _let_2 _let_1))) (let ((_let_15 (= tptp.zero _let_14))) (let ((_let_16 (tptp.divide _let_12 tptp.c))) (let ((_let_17 (= tptp.zero _let_16))) (let ((_let_18 (= _let_14 _let_16))) (let ((_let_19 (not _let_5))) (let ((_let_20 (or _let_19 _let_13))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_13 (not _let_20)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_13 false _let_5 false _let_20)))) (let ((_let_26 (not _let_15))) (let ((_let_27 (or _let_26 _let_3))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.less_equal _let_12 tptp.c))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_17))) (let ((_let_33 (tptp.less_equal tptp.zero tptp.c))) (let ((_let_34 (_let_7))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_13))) (let ((_let_37 (and _let_13 _let_33))) (let ((_let_38 (ASSUME :args (_let_33)))) (let ((_let_39 (APPLY_UF tptp.less_equal))) (let ((_let_40 (ASSUME :args (_let_13)))) (let ((_let_41 (SYMM _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_17 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_40) (SCOPE (TRUE_ELIM (TRANS (CONG _let_41 (REFL :args (tptp.c)) :args _let_39) (TRUE_INTRO _let_38))) :args (_let_33 _let_13))) :args (_let_13 _let_33))) :args (true _let_37)) :args ((or _let_36 _let_30 (not _let_33)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal tptp.zero X) true))))) :args _let_34)) _let_35 :args (_let_33 false _let_7)) :args (_let_30 false _let_13 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_12 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_23)) _let_22 :args (_let_32 false _let_21)) :args (_let_17 false _let_30 false _let_32)))) (let ((_let_43 (tptp.less_equal _let_16 _let_14))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.less_equal _let_14 _let_16))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_18))) (let ((_let_48 (_let_6))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.divide _let_14 _let_2))) (let ((_let_51 (tptp.less_equal _let_50 _let_14))) (let ((_let_52 (= tptp.zero (tptp.divide _let_14 _let_16)))) (let ((_let_53 (= tptp.zero _let_50))) (let ((_let_54 (_let_9))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((tptp.divide X Y)))) (let ((_let_57 (or _let_46 _let_52))) (let ((_let_58 (_let_8))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) :args _let_58)) _let_59 :args (_let_45 false _let_8)))) (let ((_let_61 (tptp.less_equal _let_14 _let_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_53))) (let ((_let_64 (not _let_17))) (let ((_let_65 (and _let_13 _let_17 _let_53 _let_52 _let_51))) (let ((_let_66 (ASSUME :args (_let_51)))) (let ((_let_67 (REFL :args (_let_14)))) (let ((_let_68 (ASSUME :args (_let_53)))) (let ((_let_69 (ASSUME :args (_let_52)))) (let ((_let_70 (TRANS (SYMM _let_69) _let_40))) (let ((_let_71 (ASSUME :args (_let_17)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (not _let_18))) (let ((_let_74 (SYMM _let_41))) (let ((_let_75 (ASSUME :args (_let_18)))) (let ((_let_76 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_40 _let_71 _let_75 _let_76) :args (_let_13 _let_26 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_76)) (TRUE_INTRO (TRANS _let_74 (SYMM (TRANS (SYMM (SYMM _let_75)) _let_72 _let_74)))))) :args (_let_13 _let_17 _let_18 _let_26)) :args ((not (and _let_13 _let_26 _let_17 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_15))) (REFL :args (_let_64)) (REFL :args (_let_73)) :args (or))) :args ((or _let_15 _let_36 _let_64 _let_73))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_44 _let_18 (not _let_47)))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_68 _let_40 _let_69 _let_71) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_72 _let_40) (SYMM _let_70)) _let_67 :args _let_39) (CONG (TRANS _let_70 (TRANS _let_41 (SYMM (SYMM _let_68)))) _let_67 :args _let_39) (TRUE_INTRO _let_66))) :args (_let_51 _let_53 _let_13 _let_52 _let_17))) :args (_let_13 _let_17 _let_53 _let_52 _let_51))) :args (true _let_65)) :args ((or _let_36 _let_64 _let_43 (not _let_53) (not _let_52) (not _let_51)))) _let_25 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_53 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_61 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_14 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_63 false _let_21)) :args (_let_53 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_46 _let_52 (not _let_57)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_14 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args (_let_57 false _let_21)) :args (_let_52 false _let_45 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_14 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_54)) _let_55 :args (_let_51 false _let_9)) :args (_let_43 false _let_13 false _let_17 false _let_53 false _let_52 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_14 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_6)) :args (_let_18 false _let_45 false _let_43 false _let_47)) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_3 _let_26 (not _let_27)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 true _let_3 false _let_27)) _let_25 :args (false false _let_18 false _let_17 true _let_15 false _let_13)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56 )
% 0.22/0.57 % SZS output end Proof for HEN008-3
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------