TSTP Solution File: SET609+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET609+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 14:39:26 EDT 2023
% Result : Theorem 1.78s 1.99s
% Output : Proof 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET609+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n028.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 11:47:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 1.78/1.99 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GOOOYhMrOw/cvc5---1.0.5_29435.p...
% 1.78/1.99 ------- get file name : TPTP file name is SET609+3
% 1.78/1.99 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29435.smt2...
% 1.78/1.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.78/1.99 % SZS status Theorem for SET609+3
% 1.78/1.99 % SZS output start Proof for SET609+3
% 1.78/1.99 (
% 1.78/1.99 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference B (tptp.difference C D)) (tptp.union (tptp.difference B C) (tptp.intersection B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$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.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (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_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (and _let_7 _let_9))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 _let_11))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.union _let_15 _let_14))) (let ((_let_17 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 _let_16))) (let ((_let_18 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_19 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 _let_18))) (let ((_let_20 (= _let_17 _let_19))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 _let_14))) (let ((_let_22 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 _let_15))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (= _let_17 _let_23))) (let ((_let_25 (not _let_12))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (and _let_26 _let_25))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (and _let_26 _let_8))) (let ((_let_30 (not _let_7))) (let ((_let_31 (and _let_26 _let_30))) (let ((_let_32 (= _let_21 _let_29))) (let ((_let_33 (= _let_22 _let_31))) (let ((_let_34 (not _let_10))) (let ((_let_35 (_let_4))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.member D (tptp.difference B C))))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_13 false _let_4)))) (let ((_let_39 (not _let_13))) (let ((_let_40 (_let_13))) (let ((_let_41 (REORDERING (CNF_EQUIV_POS1 :args _let_40) :args ((or _let_25 _let_10 _let_39))))) (let ((_let_42 (not _let_19))) (let ((_let_43 (or _let_42 _let_26))) (let ((_let_44 (forall ((D $$unsorted)) (= (tptp.member D (tptp.union (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_45 (not _let_20))) (let ((_let_46 (= _let_18 _let_16))) (let ((_let_47 (= _let_46 _let_44))) (let ((_let_48 (not _let_44))) (let ((_let_49 (_let_3))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not _let_46))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (or))) (let ((_let_55 (_let_48))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_46 _let_48 (not _let_47)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_51)) :args _let_54)) _let_53 :args (_let_51 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_16 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_49))) _let_50 :args (_let_47 false _let_3)) :args (_let_48 true _let_46 false _let_47)) :args (_let_45 true _let_44)))) (let ((_let_57 (_let_20))) (let ((_let_58 (REORDERING (CNF_EQUIV_NEG1 :args _let_57) :args ((or _let_17 _let_19 _let_20))))) (let ((_let_59 (_let_6))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_59)) _let_60 :args (_let_24 false _let_6)))) (let ((_let_62 (not _let_24))) (let ((_let_63 (not _let_23))) (let ((_let_64 (_let_24))) (let ((_let_65 (REORDERING (CNF_EQUIV_POS2 :args _let_64) :args ((or _let_17 _let_63 _let_62))))) (let ((_let_66 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_67 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 _let_18))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (and _let_67 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 _let_11))))) (let ((_let_72 (= _let_68 _let_71))) (let ((_let_73 (not _let_66))) (let ((_let_74 (_let_73))) (let ((_let_75 (_let_66))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_18) false))))) :args _let_75)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_66))) (REFL :args ((not _let_70))) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_67 (not _let_71)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_69 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_72 false _let_4)) (CNF_OR_NEG :args (_let_70 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG (REFL :args (_let_70)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_54)) :args ((or _let_68 _let_70))) :args (_let_70 false _let_71 false _let_72 true _let_67 false _let_68)) :args (_let_66 false _let_70)) :args (_let_43 false _let_66)))) (let ((_let_77 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_26 (not _let_43)))))) (let ((_let_78 (not _let_26))) (let ((_let_79 (REFL :args (_let_78)))) (let ((_let_80 (_let_31))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_33 false _let_4)))) (let ((_let_82 (not _let_33))) (let ((_let_83 (not _let_31))) (let ((_let_84 (_let_33))) (let ((_let_85 (CNF_EQUIV_NEG2 :args _let_57))) (let ((_let_86 (not _let_17))) (let ((_let_87 (REORDERING (CNF_EQUIV_POS1 :args _let_64) :args ((or _let_86 _let_23 _let_62))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_28 false _let_4)))) (let ((_let_89 (not _let_28))) (let ((_let_90 (not _let_27))) (let ((_let_91 (_let_28))) (let ((_let_92 (REORDERING (CNF_EQUIV_POS2 :args _let_91) :args ((or _let_19 _let_90 _let_89))))) (let ((_let_93 (_let_27))) (let ((_let_94 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_93) (CONG (REFL :args _let_93) _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_12))) :args _let_54)) :args ((or _let_12 _let_27 _let_78))))) (let ((_let_95 (not _let_29))) (let ((_let_96 (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_26 _let_95))))) (let ((_let_97 (_let_5))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_97)) _let_98 :args (_let_32 false _let_5)))) (let ((_let_100 (not _let_32))) (let ((_let_101 (not _let_21))) (let ((_let_102 (_let_32))) (let ((_let_103 (REORDERING (CNF_EQUIV_POS1 :args _let_102) :args ((or _let_101 _let_29 _let_100))))) (let ((_let_104 (not _let_22))) (let ((_let_105 (REORDERING (CNF_EQUIV_POS1 :args _let_84) :args ((or _let_104 _let_31 _let_82))))) (let ((_let_106 (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 _let_63))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST _let_106 _let_105 _let_81 _let_103 _let_99 (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_26 _let_83))) _let_96 _let_94 _let_92 _let_88 _let_87 _let_61 _let_85 _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_84) :args ((or _let_22 _let_83 _let_82))) _let_81 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_80) (CONG (REFL :args _let_80) _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_7))) :args _let_54)) :args ((or _let_78 _let_7 _let_31))) (CNF_OR_NEG :args (_let_23 0)) _let_77 _let_76 _let_65 _let_61 _let_58 _let_56 :args ((or _let_17 _let_7) false _let_33 false _let_31 true _let_22 false _let_26 false _let_43 true _let_23 false _let_24 false _let_19 true _let_20)) _let_41 _let_38 (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_7 _let_34))) :args (_let_7 true _let_22 false _let_33 true _let_21 false _let_32 true _let_31 true _let_29 true _let_26 true _let_27 false _let_28 false _let_23 false _let_24 true _let_19 true _let_20 false _let_17 true _let_12 false _let_13 true _let_10)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST _let_41 _let_38 (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_9 _let_34))) _let_94 (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_8 _let_95))) _let_96 _let_92 _let_88 _let_103 _let_99 _let_85 _let_56 _let_106 (MACRO_RESOLUTION_TRUST _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_30 _let_83))) _let_107 :args (_let_83 false _let_7)) _let_81 :args (_let_104 true _let_31 false _let_33)) _let_65 _let_61 :args (_let_63 false _let_13 true _let_10 false _let_12 false _let_8 false _let_26 true _let_27 false _let_28 false _let_29 false _let_32 true _let_19 true _let_20 false _let_21 true _let_22 false _let_17 false _let_24)))) (let ((_let_109 (MACRO_RESOLUTION_TRUST _let_58 (MACRO_RESOLUTION_TRUST _let_87 _let_108 _let_61 :args (_let_86 true _let_23 false _let_24)) _let_56 :args (_let_19 true _let_17 true _let_20)))) (let ((_let_110 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_110) (CONG (REFL :args _let_110) (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_54)) :args ((or _let_8 _let_10 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_40) :args ((or _let_12 _let_34 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_25 _let_90))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_91) :args ((or _let_42 _let_27 _let_89))) _let_109 _let_88 :args (_let_27 false _let_19 false _let_28)) :args (_let_25 false _let_27)) _let_38 :args (_let_34 true _let_12 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_29)) :args ((or _let_78 _let_29 _let_9))) (MACRO_RESOLUTION_TRUST _let_77 _let_109 _let_76 :args (_let_26 false _let_19 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_102) :args ((or _let_21 _let_95 _let_100))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_108 :args (_let_101 true _let_23)) _let_99 :args (_let_95 true _let_21 false _let_32)) :args (_let_9 false _let_26 true _let_29)) _let_107 :args (false true _let_10 true _let_8 false _let_7)) :args (_let_6 _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 $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))) (forall ((B $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.78/1.99 )
% 1.78/1.99 % SZS output end Proof for SET609+3
% 1.78/1.99 % cvc5---1.0.5 exiting
% 1.78/2.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------