%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 14:39:24 EDT 2023

% Result   : Theorem 0.20s 0.65s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET606+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 14:08:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.65  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Ha2PYONyo9/cvc5---1.0.5_12377.p...
% 0.20/0.65  ------- get file name : TPTP file name is SET606+3
% 0.20/0.65  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12377.smt2...
% 0.20/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.65  % SZS status Theorem for SET606+3
% 0.20/0.65  % SZS output start Proof for SET606+3
% 0.20/0.65  (
% 0.20/0.65  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.difference B (tptp.intersection B C)) (tptp.difference B C))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))) (= B C))))) (let ((_let_6 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_6))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (and _let_9 _let_11))) (let ((_let_13 (= _let_7 _let_12))) (let ((_let_14 (_let_4))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_14)) _let_15 :args (_let_13 false _let_4)))) (let ((_let_17 (not _let_12))) (let ((_let_18 (not _let_11))) (let ((_let_19 (and _let_9 _let_18))) (let ((_let_20 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_24 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_23))) (let ((_let_25 (= _let_21 _let_24))) (let ((_let_26 (= _let_24 _let_10))) (let ((_let_27 (not _let_24))) (let ((_let_28 (or _let_27 _let_9))) (let ((_let_29 (_let_3))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((tptp.member D (tptp.difference B C))))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_22 false _let_3)))) (let ((_let_33 (not _let_22))) (let ((_let_34 (_let_22))) (let ((_let_35 (REORDERING (CNF_EQUIV_POS1 :args _let_34) :args ((or (not _let_21) _let_19 _let_33))))) (let ((_let_36 (forall ((D $$unsorted)) (= (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_37 (not _let_25))) (let ((_let_38 (= _let_23 _let_20))) (let ((_let_39 (not _let_36))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C)))) (= B C))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (not _let_38))) (let ((_let_44 (_let_2))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (or))) (let ((_let_47 (_let_39))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_36))) (REFL :args (_let_37)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_38 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_43)) :args _let_46)) _let_45 :args (_let_43 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_20 _let_23 QUANTIFIERS_INST_ENUM)) :args (_let_41)))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 true _let_38 false _let_40)) :args (_let_37 true _let_36)))) (let ((_let_49 (_let_25))) (let ((_let_50 (REORDERING (CNF_EQUIV_NEG1 :args _let_49) :args ((or _let_21 _let_24 _let_25))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_26 false _let_3)))) (let ((_let_52 (not _let_26))) (let ((_let_53 (_let_26))) (let ((_let_54 (REORDERING (CNF_EQUIV_POS1 :args _let_53) :args ((or _let_27 _let_10 _let_52))))) (let ((_let_55 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_56 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_23))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (and _let_56 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 _let_6))))) (let ((_let_61 (= _let_57 _let_60))) (let ((_let_62 (not _let_55))) (let ((_let_63 (_let_62))) (let ((_let_64 (_let_55))) (let ((_let_65 (not _let_10))) (let ((_let_66 (not _let_9))) (let ((_let_67 (REFL :args (_let_66)))) (let ((_let_68 (_let_19))) (let ((_let_69 (not _let_13))) (let ((_let_70 (_let_13))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_12)) :args ((or _let_18 _let_66 _let_12))) (REORDERING (CNF_EQUIV_POS2 :args _let_70) :args ((or _let_7 _let_17 _let_69))) _let_16 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_68) (CONG (REFL :args _let_68) _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_11))) :args _let_46)) :args ((or _let_11 _let_19 _let_66))) (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_65))) (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_9 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_23) false))))) :args _let_64)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_55))) (REFL :args ((not _let_59))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_60 0)) :args ((or _let_56 (not _let_60)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_58 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_61 false _let_3)) (CNF_OR_NEG :args (_let_59 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG (REFL :args (_let_59)) (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_46)) :args ((or _let_57 _let_59))) :args (_let_59 false _let_60 false _let_61 true _let_56 false _let_57)) :args (_let_55 false _let_59)) :args (_let_28 false _let_55)) _let_54 _let_51 _let_50 _let_48 _let_35 _let_32 :args (_let_19 true _let_12 false _let_13 false _let_11 true _let_7 false _let_9 false _let_28 false _let_10 false _let_26 false _let_24 true _let_25 true _let_21 false _let_22)))) (let ((_let_72 (not _let_19))) (let ((_let_73 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_35 _let_32 (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_9 _let_72))) _let_50 _let_48 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_73) (CONG (REFL :args _let_73) _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_46)) :args ((or _let_7 _let_10 _let_66))) _let_54 _let_51 :args ((or _let_7 _let_10) false _let_22 true _let_19 false _let_21 true _let_25 true _let_9 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_53) :args ((or _let_24 _let_65 _let_52))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_49) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_34) :args ((or _let_21 _let_72 _let_33))) _let_71 _let_32 :args (_let_21 false _let_19 false _let_22)) :args (_let_27 true _let_25 false _let_21)) _let_51 :args (_let_65 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_70) :args ((or _let_8 _let_12 _let_69))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_11 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_18 _let_72))) _let_71 :args (_let_18 false _let_19)) :args (_let_17 true _let_11)) _let_16 :args (_let_8 true _let_12 false _let_13)) :args (false true _let_10 true _let_7)) :args (_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)) (= (tptp.intersection B C) (tptp.intersection C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.66  )
% 0.20/0.66  % SZS output end Proof for SET606+3
% 0.20/0.66  % cvc5---1.0.5 exiting
% 0.20/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------