%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 0.23s 0.57s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat Aug 26 16:30:18 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gdUs94G4p9/cvc5---1.0.5_12584.p...
% 0.23/0.57  ------- get file name : TPTP file name is SET598+3
% 0.23/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12584.smt2...
% 0.23/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.57  % SZS status Theorem for SET598+3
% 0.23/0.57  % SZS output start Proof for SET598+3
% 0.23/0.57  (
% 0.23/0.57  (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= B (tptp.intersection C D)) (and (tptp.subset B C) (tptp.subset B D) (forall ((E $$unsorted)) (=> (and (tptp.subset E C) (tptp.subset E D)) (tptp.subset E B))))))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection 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 $$unsorted)) (=> (and (tptp.subset B C) (tptp.subset B D)) (tptp.subset B (tptp.intersection C D)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset (tptp.intersection B C) B)))) (let ((_let_6 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_8 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_6))) (let ((_let_10 (forall ((E $$unsorted)) (or (not (tptp.subset E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.subset E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.subset E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (and _let_12 _let_11 _let_10))) (let ((_let_14 (= _let_7 _let_13))) (let ((_let_15 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_16 (tptp.subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (= _let_7 _let_17))) (let ((_let_19 (not _let_11))) (let ((_let_20 (not _let_12))) (let ((_let_21 (or _let_20 _let_19 _let_15))) (let ((_let_22 (tptp.subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_16))) (let ((_let_27 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (= B (tptp.intersection C D)) (and (tptp.subset B C) (tptp.subset B D) (forall ((E $$unsorted)) (or (not (tptp.subset E C)) (not (tptp.subset E D)) (tptp.subset E B)))))))) (let ((_let_28 (not _let_14))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (_let_14))) (let ((_let_34 (_let_3))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_13))) (let ((_let_37 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset B C)) (not (tptp.subset B D)) (tptp.subset B (tptp.intersection C D)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.subset B (tptp.intersection C D)) true))))) (let ((_let_41 (_let_10))) (let ((_let_42 (_let_5))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.intersection B C)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_24 false _let_5)))) (let ((_let_46 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (tptp.subset _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_48 (= _let_6 _let_46))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_47 false _let_5)))) (let ((_let_50 (_let_2))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_50)) _let_51 :args (_let_48 false _let_2)))) (let ((_let_53 (not _let_47))) (let ((_let_54 (not _let_48))) (let ((_let_55 (and _let_48 _let_47))) (let ((_let_56 (ASSUME :args (_let_47)))) (let ((_let_57 (TRUE_INTRO _let_56))) (let ((_let_58 (APPLY_UF tptp.subset))) (let ((_let_59 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_60 (ASSUME :args (_let_48)))) (let ((_let_61 (SYMM (SYMM _let_60)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_16 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_60) (SCOPE (TRUE_ELIM (TRANS (CONG _let_61 _let_59 :args _let_58) _let_57)) :args (_let_47 _let_48))) :args (_let_48 _let_47))) :args (true _let_55)) :args ((or _let_54 _let_22 _let_53))) _let_52 _let_49 :args (_let_22 false _let_48 false _let_47)) _let_45 (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or (not _let_16) _let_17 (not _let_15)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_41)) (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 _let_15 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_21 false _let_37)) (REORDERING (CNF_AND_POS :args (_let_13 2)) :args ((or _let_10 _let_36))) (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_11 _let_36))) (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_12 _let_36))) (REORDERING (CNF_EQUIV_POS2 :args (_let_18)) :args ((or _let_7 (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args _let_34))) _let_35 :args (_let_18 false _let_3)) (REORDERING (CNF_EQUIV_NEG1 :args _let_33) :args ((or _let_7 _let_13 _let_14))) _let_32 :args (_let_7 false _let_22 false _let_24 true _let_16 false _let_26 false _let_15 false _let_21 false _let_10 false _let_11 false _let_12 true _let_17 false _let_18 false _let_13 true _let_14)))) (let ((_let_63 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64 _let_8))) (let ((_let_68 (not _let_8))) (let ((_let_69 (not _let_67))) (let ((_let_70 (not _let_10))) (let ((_let_71 (not _let_7))) (let ((_let_72 (and _let_7 _let_48 _let_47))) (let ((_let_73 (ASSUME :args (_let_7)))) (let ((_let_74 (SYMM (SYMM _let_73)))) (let ((_let_75 (and _let_7 _let_24))) (let ((_let_76 (ASSUME :args (_let_24)))) (let ((_let_77 (_let_70))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_10))) (REFL :args (_let_69)) :args _let_30)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_13)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_33) _let_32 _let_62 :args (_let_36 true _let_14 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_73) (SCOPE (TRUE_ELIM (TRANS (CONG _let_74 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_58) (TRUE_INTRO _let_76))) :args (_let_24 _let_7))) :args (_let_7 _let_24))) :args (true _let_75)) :args ((or _let_12 _let_71 _let_25))) _let_62 _let_45 :args (_let_12 false _let_7 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_56 _let_60 _let_73) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_74 _let_61) _let_59 :args _let_58) _let_57)) :args (_let_47 _let_48 _let_7))) :args (_let_7 _let_48 _let_47))) :args (true _let_72)) :args ((or _let_11 _let_71 _let_54 _let_53))) _let_62 _let_52 _let_49 :args (_let_11 false _let_7 false _let_48 false _let_47)) :args (_let_70 true _let_13 false _let_12 false _let_11)) :args (_let_69 true _let_10)))) (let ((_let_79 (or _let_66 _let_64 _let_9))) (let ((_let_80 (REFL :args (_let_67)))) (let ((_let_81 (ASSUME :args (_let_9)))) (let ((_let_82 (ASSUME :args (_let_68)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_73 _let_82) :args (_let_7 _let_68 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_82)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) _let_74 :args _let_58) (TRUE_INTRO _let_81))) :args (_let_9 _let_7 _let_68)) :args ((not (and _let_7 _let_68 _let_9)) SB_LITERAL))) (CONG (REFL :args (_let_71)) (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_8))) (REFL :args ((not _let_9))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_66 _let_64 _let_9 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 0)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_30)) :args ((or _let_65 _let_67))) _let_78 :args (_let_65 true _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_67 1)) (CONG _let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_30)) :args ((or _let_63 _let_67))) _let_78 :args (_let_63 true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_79 false _let_37)) :args (_let_9 false _let_65 false _let_63 false _let_79)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_67 2)) _let_78 :args (_let_68 true _let_67)) _let_62 :args (false false _let_9 true _let_8 false _let_7)) :args (_let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.57  )
% 0.23/0.57  % SZS output end Proof for SET598+3
% 0.23/0.57  % cvc5---1.0.5 exiting
% 0.23/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------