TSTP Solution File: SET614+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET614+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 14:39:29 EDT 2023
% Result : Theorem 0.83s 1.03s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET614+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:32:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.83/1.03 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5Mx4bJiG6g/cvc5---1.0.5_5373.p...
% 0.83/1.03 ------- get file name : TPTP file name is SET614+3
% 0.83/1.03 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5373.smt2...
% 0.83/1.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.83/1.03 % SZS status Theorem for SET614+3
% 0.83/1.03 % SZS output start Proof for SET614+3
% 0.83/1.03 (
% 0.83/1.03 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference (tptp.difference B C) D) (tptp.difference B (tptp.union C D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (_let_4))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.member D (tptp.difference B C))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_4)))) (let ((_let_17 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (and _let_11 _let_18))) (let ((_let_20 (tptp.difference _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_22 false _let_4)))) (let ((_let_24 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 _let_25))) (let ((_let_27 (= _let_26 _let_21))) (let ((_let_28 (forall ((D $$unsorted)) (= (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.difference (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (= _let_20 _let_25))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (not _let_28))) (let ((_let_33 (_let_3))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_30))) (let ((_let_36 (_let_2))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (or))) (let ((_let_39 (_let_32))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_30 _let_32 (not _let_31)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_35)) :args _let_38)) _let_37 :args (_let_35 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_25 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_33))) _let_34 :args (_let_31 false _let_3)) :args (_let_32 true _let_30 false _let_31)) :args (_let_29 true _let_28)))) (let ((_let_41 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 _let_24))) (let ((_let_42 (not _let_41))) (let ((_let_43 (and _let_8 _let_42))) (let ((_let_44 (= _let_26 _let_43))) (let ((_let_45 (or _let_6 _let_17))) (let ((_let_46 (= _let_41 _let_45))) (let ((_let_47 (not _let_26))) (let ((_let_48 (_let_27))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_44 false _let_4)))) (let ((_let_50 (not _let_44))) (let ((_let_51 (_let_44))) (let ((_let_52 (not _let_22))) (let ((_let_53 (not _let_19))) (let ((_let_54 (_let_22))) (let ((_let_55 (not _let_43))) (let ((_let_56 (_let_5))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_56)) _let_57 :args (_let_46 false _let_5)))) (let ((_let_59 (not _let_46))) (let ((_let_60 (not _let_45))) (let ((_let_61 (_let_46))) (let ((_let_62 (not _let_8))) (let ((_let_63 (REFL :args (_let_62)))) (let ((_let_64 (_let_9))) (let ((_let_65 (not _let_11))) (let ((_let_66 (_let_19))) (let ((_let_67 (not _let_12))) (let ((_let_68 (not _let_9))) (let ((_let_69 (_let_12))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_69) :args ((or _let_11 _let_68 _let_67))) _let_16 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_66) (CONG (REFL :args _let_66) (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_38)) :args ((or _let_17 _let_19 _let_65))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_64) (CONG (REFL :args _let_64) _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_38)) :args ((or _let_62 _let_6 _let_9))) (REORDERING (CNF_OR_NEG :args (_let_45 1)) :args ((or _let_18 _let_45))) (CNF_OR_NEG :args (_let_45 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_61) :args ((or _let_41 _let_60 _let_59))) _let_58 (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 _let_55))) (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_8 _let_55))) (REORDERING (CNF_EQUIV_POS2 :args _let_54) :args ((or _let_21 _let_53 _let_52))) _let_23 (REORDERING (CNF_EQUIV_POS1 :args _let_51) :args ((or _let_47 _let_43 _let_50))) _let_49 (CNF_EQUIV_NEG2 :args _let_48) _let_40 :args (_let_47 false _let_12 true _let_11 false _let_9 true _let_17 true _let_6 true _let_45 false _let_46 true _let_41 false _let_8 true _let_19 false _let_22 false _let_43 false _let_44 true _let_21 true _let_27)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_48) :args ((or _let_26 _let_21 _let_27))) _let_70 _let_40 :args (_let_21 true _let_26 true _let_27)))) (let ((_let_72 (not _let_21))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_54) :args ((or _let_72 _let_19 _let_52))) _let_71 _let_23 :args (_let_19 false _let_21 false _let_22)))) (let ((_let_74 (or _let_72 _let_8))) (let ((_let_75 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.difference (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_76 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_20))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_10))) (let ((_let_81 (and _let_80 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_82 (= _let_77 _let_81))) (let ((_let_83 (not _let_80))) (let ((_let_84 (or _let_83 _let_76))) (let ((_let_85 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_86 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_87 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 _let_10))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (and _let_86 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_91 (= _let_87 _let_90))) (let ((_let_92 (not _let_85))) (let ((_let_93 (_let_92))) (let ((_let_94 (_let_85))) (let ((_let_95 (not _let_75))) (let ((_let_96 (_let_95))) (let ((_let_97 (_let_75))) (let ((_let_98 (_let_43))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_68))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_17 _let_6 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_18 _let_53))) _let_73 :args (_let_18 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_61) :args ((or _let_42 _let_45 _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_98) (CONG (REFL :args _let_98) _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_38)) :args ((or _let_41 _let_43 _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_51) :args ((or _let_26 _let_55 _let_50))) _let_70 _let_49 :args (_let_55 true _let_26 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_72 _let_8 (not _let_74)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_97) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_20) false))))) :args _let_97)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_75))) (REFL :args ((not _let_79))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 0)) :args ((or _let_80 (not _let_81)))) (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_76 _let_83 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) :args _let_94)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_85))) (REFL :args ((not _let_89))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 0)) :args ((or _let_86 (not _let_90)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or _let_88 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_91 false _let_4)) (CNF_OR_NEG :args (_let_89 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_38)) :args ((or _let_87 _let_89))) :args (_let_89 false _let_90 false _let_91 true _let_86 false _let_87)) :args (_let_85 false _let_89)) :args (_let_84 false _let_85)) (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or _let_78 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_82 false _let_4)) (CNF_OR_NEG :args (_let_79 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_38)) :args ((or _let_77 _let_79))) :args (_let_79 true _let_80 false _let_84 false _let_81 false _let_82 true _let_76 false _let_77)) :args (_let_75 false _let_79)) :args (_let_74 false _let_75)) :args (_let_8 false _let_21 false _let_74)) :args (_let_41 true _let_43 false _let_8)) _let_58 :args (_let_45 false _let_41 false _let_46)) :args (_let_6 true _let_17 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_69) :args ((or _let_65 _let_9 _let_67))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_11 _let_53))) _let_73 :args (_let_11 false _let_19)) _let_16 :args (_let_9 false _let_11 false _let_12)) :args (false false _let_6 false _let_9)) :args (_let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.83/1.03 )
% 0.83/1.03 % SZS output end Proof for SET614+3
% 0.83/1.04 % cvc5---1.0.5 exiting
% 0.83/1.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------