TSTP Solution File: SET587+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 14:39:14 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n028.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 : Sat Aug 26 08:58:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.61 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.s2dGCox4XP/cvc5---1.0.5_9068.p...
% 0.20/0.61 ------- get file name : TPTP file name is SET587+3
% 0.20/0.61 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9068.smt2...
% 0.20/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.61 % SZS status Theorem for SET587+3
% 0.20/0.61 % SZS output start Proof for SET587+3
% 0.20/0.61 (
% 0.20/0.61 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (= (= (tptp.difference B C) tptp.empty_set) (tptp.subset B C)))))) (let ((_let_2 (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))) (= B C))))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.empty _let_8))) (let ((_let_10 (= tptp.empty_set _let_8))) (let ((_let_11 (forall ((C $$unsorted)) (not (tptp.member C tptp.empty_set))))) (let ((_let_12 (= _let_7 _let_11))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (_let_4))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (forall ((C $$unsorted)) (not (tptp.member C (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_18 (= _let_9 _let_17))) (let ((_let_19 (not _let_9))) (let ((_let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_8))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (and _let_23 _let_22))) (let ((_let_25 (= _let_20 _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (or _let_26 _let_21))) (let ((_let_28 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_29 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (= _let_29 _let_10))) (let ((_let_32 (forall ((D $$unsorted)) (= (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D tptp.empty_set))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_10))) (let ((_let_35 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 tptp.empty_set))) (let ((_let_36 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_8))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (not _let_17))) (let ((_let_39 (_let_17))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.member D (tptp.difference B C))))) (let ((_let_44 (or))) (let ((_let_45 (_let_24))) (let ((_let_46 (not _let_28))) (let ((_let_47 (_let_46))) (let ((_let_48 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args (_let_48))) _let_49 :args (_let_30 false _let_48)))) (let ((_let_51 (not _let_30))) (let ((_let_52 (_let_30))) (let ((_let_53 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (= tptp.empty_set (tptp.difference B C)))))) (let ((_let_54 (not _let_31))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (not _let_53))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_55) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_53))) (REFL :args (_let_54)) :args _let_44)) _let_55 :args (_let_54 true _let_53)))) (let ((_let_58 (_let_31))) (let ((_let_59 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C)))) (= B C))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_33))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member C _let_8) false))))) :args _let_39)) (REORDERING (CNF_EQUIV_NEG1 :args (_let_37)) :args ((or _let_36 _let_35 _let_37))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member B tptp.empty_set) false))))) :args _let_15)) _let_16 :args ((not _let_35) false _let_4)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) (REFL :args ((not _let_37))) :args _let_44)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_10 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_8 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_59)))) _let_60 :args (_let_34 false _let_59)) (CNF_EQUIV_NEG2 :args _let_58) _let_57 (REORDERING (CNF_EQUIV_POS2 :args _let_52) :args ((or _let_29 _let_46 _let_51))) _let_50 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_28))) (REFL :args ((not _let_27))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_45) (CONG (REFL :args _let_45) (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_44)) :args ((or _let_26 _let_21 _let_24))) (CNF_OR_NEG :args (_let_27 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_23))) :args _let_44)) :args ((or _let_23 _let_27))) :args ((or _let_27 _let_24) true _let_21 false _let_23)) (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_20 (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_25 false _let_5)) (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args _let_39)) :args ((or (not _let_20) _let_38))) :args (_let_38 false _let_36 true _let_35 true _let_37 true _let_32 false _let_34 true _let_10 true _let_31 false _let_29 false _let_30 false _let_28 false _let_27 true _let_24 false _let_25 true _let_20)))) (let ((_let_63 (not _let_29))) (let ((_let_64 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_65 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (not _let_64))) (let ((_let_69 (and _let_65 _let_68))) (let ((_let_70 (not _let_67))) (let ((_let_71 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_8))) (let ((_let_72 (= _let_71 _let_69))) (let ((_let_73 (not _let_71))) (let ((_let_74 (_let_38))) (let ((_let_75 (not _let_69))) (let ((_let_76 (_let_28))) (let ((_let_77 (ASSUME :args (_let_7)))) (let ((_let_78 (ASSUME :args (_let_10)))) (let ((_let_79 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_77 _let_78 _let_79) :args (_let_10 _let_19 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_79)) (CONG (SYMM _let_78) :args (APPLY_UF tptp.empty)) (TRUE_INTRO _let_77))) :args (_let_7 _let_10 _let_19)) :args ((not (and _let_10 _let_19 _let_7)) SB_LITERAL))) (CONG (REFL :args ((not _let_10))) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_9))) (REFL :args ((not _let_7))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_58) :args ((or _let_29 _let_10 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_52) :args ((or _let_63 _let_28 _let_51))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_76)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_64 _let_66 _let_70))) (REORDERING (CNF_AND_POS :args (_let_69 1)) :args ((or _let_68 _let_75))) (REORDERING (CNF_AND_POS :args (_let_69 0)) :args ((or _let_65 _let_75))) :args ((or _let_75 _let_70) true _let_64 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_73 _let_69 (not _let_72)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74) (REWRITE :args ((=> _let_38 (not _let_73)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_17))) (REFL :args (_let_71)) :args _let_44)) _let_62 :args (_let_71 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_72 false _let_5)) :args (_let_69 false _let_71 false _let_72)) :args (_let_70 false _let_69)) :args (_let_46 true _let_67)) _let_50 :args (_let_63 true _let_28 false _let_30)) _let_57 :args (_let_10 true _let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or _let_17 _let_19 (not _let_18)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_14 :args (_let_18 false _let_2)) :args (_let_19 true _let_17 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_12)) :args ((or _let_7 (not _let_11) (not _let_12)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= B C)))) _let_16 :args (_let_11 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_14 :args (_let_12 false _let_2)) :args (_let_7 false _let_11 false _let_12)) :args (false false _let_10 true _let_9 false _let_7)) :args (_let_6 _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61 )
% 0.20/0.61 % SZS output end Proof for SET587+3
% 0.20/0.61 % cvc5---1.0.5 exiting
% 0.20/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------