%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 14:39:19 EDT 2023

% Result   : Theorem 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 13:06:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pMDUbFMgRs/cvc5---1.0.5_2954.p...
% 0.21/0.58  ------- get file name : TPTP file name is SET597+3
% 0.21/0.58  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2954.smt2...
% 0.21/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Theorem for SET597+3
% 0.21/0.58  % SZS output start Proof for SET597+3
% 0.21/0.58  (
% 0.21/0.58  (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= B (tptp.union C D)) (and (tptp.subset C B) (tptp.subset D B) (forall ((E $$unsorted)) (=> (and (tptp.subset C E) (tptp.subset D E)) (tptp.subset B E))))))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.subset B C) (tptp.subset D C)) (tptp.subset (tptp.union B D) C))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset B (tptp.union B C))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset B C)) (not (tptp.subset D C)) (tptp.subset (tptp.union B D) C))))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_8))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_17 (and _let_16 _let_8))) (let ((_let_18 (not _let_8))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (not _let_17))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args _let_22)) _let_23 :args (_let_20 false _let_3)))) (let ((_let_25 (forall ((E $$unsorted)) (or (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 E)) (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 E)) (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E))))) (let ((_let_26 (and _let_11 _let_9 _let_25))) (let ((_let_27 (= _let_19 _let_26))) (let ((_let_28 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (= _let_7 _let_28))) (let ((_let_30 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_28))) (let ((_let_31 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7))) (let ((_let_32 (not _let_19))) (let ((_let_33 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= B (tptp.union C D)) (and (tptp.subset C B) (tptp.subset D B) (forall ((E $$unsorted)) (or (not (tptp.subset C E)) (not (tptp.subset D E)) (tptp.subset B E)))))))) (let ((_let_34 (not _let_27))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (not _let_33))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args (_let_37))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_36)) _let_35 :args (_let_34 true _let_33)))) (let ((_let_39 (_let_27))) (let ((_let_40 (_let_2))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B C)))) :args _let_40)) _let_41 :args (_let_29 false _let_2)))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.union B C)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_30 false _let_5)))) (let ((_let_47 (not _let_30))) (let ((_let_48 (not _let_29))) (let ((_let_49 (and _let_19 _let_29 _let_30))) (let ((_let_50 (ASSUME :args (_let_30)))) (let ((_let_51 (TRUE_INTRO _let_50))) (let ((_let_52 (APPLY_UF tptp.subset))) (let ((_let_53 (ASSUME :args (_let_29)))) (let ((_let_54 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_55 (CONG _let_54 (SYMM (SYMM _let_53)) :args _let_52))) (let ((_let_56 (ASSUME :args (_let_19)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_31 false _let_5)))) (let ((_let_60 (not _let_31))) (let ((_let_61 (and _let_19 _let_31))) (let ((_let_62 (ASSUME :args (_let_31)))) (let ((_let_63 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_64 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_63))) (let ((_let_69 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_70 (or _let_67 _let_65 _let_69))) (let ((_let_71 (not _let_26))) (let ((_let_72 (REORDERING (CNF_AND_POS :args (_let_26 2)) :args ((or _let_25 _let_71))))) (let ((_let_73 (not _let_25))) (let ((_let_74 (_let_73))) (let ((_let_75 (REORDERING (CNF_EQUIV_NEG1 :args _let_39) :args ((or _let_19 _let_26 _let_27))))) (let ((_let_76 (REFL :args (_let_68)))) (let ((_let_77 (_let_6))) (let ((_let_78 ((not (= (tptp.subset (tptp.union B D) C) true))))) (let ((_let_79 (not _let_63))) (let ((_let_80 (and _let_19 _let_79))) (let ((_let_81 (ASSUME :args (_let_79)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_26)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_81 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG _let_57 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) :args _let_52) (FALSE_INTRO _let_81))) :args (_let_79 _let_19))) :args (_let_19 _let_79))) :args (true _let_80)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_63))) (REFL :args ((not _let_69))) :args _let_36)) (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_67 _let_65 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) _let_14 :args (_let_70 false _let_6)) (CNF_OR_NEG :args (_let_68 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_36)) :args ((or _let_64 _let_68))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_36)) :args ((or _let_66 _let_68))) _let_75 _let_38 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_25))) (REFL :args ((not _let_68))) :args _let_36)) _let_72 :args (_let_25 false _let_69 false _let_70 true _let_63 false _let_64 false _let_66 false _let_19 true _let_27 true _let_68 true _let_26)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_58 :args _let_52) (TRUE_INTRO _let_62))) :args (_let_31 _let_19))) :args (_let_19 _let_31))) :args (true _let_61)) :args ((or _let_11 _let_32 _let_60))) _let_59 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_53 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG _let_54 _let_58 :args _let_52) _let_55 _let_51)) :args (_let_30 _let_29 _let_19))) :args (_let_19 _let_29 _let_30))) :args (true _let_49)) :args ((or _let_9 _let_32 _let_48 _let_47))) _let_46 _let_42 (CNF_EQUIV_NEG2 :args _let_39) _let_38 :args (_let_32 false _let_25 false _let_11 false _let_31 false _let_9 false _let_30 false _let_29 true _let_26 true _let_27)))) (let ((_let_83 (not _let_20))) (let ((_let_84 (_let_20))) (let ((_let_85 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_60 _let_86 _let_16))) (let ((_let_88 (and _let_29 _let_30))) (let ((_let_89 (_let_25))) (let ((_let_90 (MACRO_RESOLUTION_TRUST _let_75 _let_82 _let_38 :args (_let_26 true _let_19 true _let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_10 _let_8 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_11 _let_71))) _let_90 :args (_let_11 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_9 _let_71))) _let_90 :args (_let_9 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or (not _let_16) _let_17 _let_18))) (MACRO_RESOLUTION_TRUST _let_75 _let_38 _let_72 (REORDERING (CNF_EQUIV_POS1 :args _let_84) :args ((or _let_32 _let_17 _let_83))) _let_24 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 E) false))))) :args _let_89)) (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_21))) (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_60 _let_86 _let_16 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_53) (SCOPE (TRUE_ELIM (TRANS _let_55 _let_51)) :args (_let_30 _let_29))) :args (_let_29 _let_30))) :args (true _let_88)) :args ((or _let_48 _let_85 _let_47))) _let_42 _let_46 :args (_let_85 false _let_29 false _let_30)) _let_59 :args (_let_16 true _let_27 true _let_26 true _let_19 false _let_20 true _let_25 true _let_17 true _let_87 false _let_85 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_84) :args ((or _let_19 _let_21 _let_83))) _let_82 _let_24 :args (_let_21 true _let_19 false _let_20)) :args (_let_18 false _let_16 true _let_17)) :args (_let_15 false _let_11 false _let_9 true _let_8)) _let_14 :args (false true _let_13 false _let_6)) :args (_let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) _let_3 _let_2 (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58  )
% 0.21/0.58  % SZS output end Proof for SET597+3
% 0.21/0.58  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------