%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 14:37:54 EDT 2023

% Result   : Theorem 0.77s 0.98s
% Output   : Proof 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat Aug 26 15:00:39 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.77/0.98  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ovW93MhAhU/cvc5---1.0.5_31128.p...
% 0.77/0.98  ------- get file name : TPTP file name is SET143+3
% 0.77/0.98  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31128.smt2...
% 0.77/0.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.77/0.98  % SZS status Theorem for SET143+3
% 0.77/0.98  % SZS output start Proof for SET143+3
% 0.77/0.98  (
% 0.77/0.98  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection (tptp.intersection B C) D) (tptp.intersection B (tptp.intersection C D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (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 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_7))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_6))) (let ((_let_11 (_let_4))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (and _let_9 _let_13))) (let ((_let_15 (not _let_9))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (and _let_16 _let_13))) (let ((_let_18 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_18))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (_let_5))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((tptp.member D (tptp.intersection B C))))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_20 false _let_5)))) (let ((_let_25 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (and _let_25 _let_19))) (let ((_let_27 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_28 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_27))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_29 false _let_5)))) (let ((_let_31 (tptp.intersection _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 _let_31))) (let ((_let_33 (= _let_28 _let_32))) (let ((_let_34 (= _let_32 _let_14))) (let ((_let_35 (or _let_15 _let_16))) (let ((_let_36 (or _let_15 _let_25))) (let ((_let_37 (forall ((D $$unsorted)) (= (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.intersection (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_38 (not _let_33))) (let ((_let_39 (= _let_31 _let_27))) (let ((_let_40 (= _let_39 _let_37))) (let ((_let_41 (not _let_37))) (let ((_let_42 (_let_3))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (not _let_39))) (let ((_let_45 (_let_2))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (or))) (let ((_let_48 (_let_41))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_39 _let_41 (not _let_40)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_44)) :args _let_47)) _let_46 :args (_let_44 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_27 _let_31 QUANTIFIERS_INST_ENUM)) :args _let_42))) _let_43 :args (_let_40 false _let_3)) :args (_let_41 true _let_39 false _let_40)) :args (_let_38 true _let_37)))) (let ((_let_50 (_let_33))) (let ((_let_51 (not _let_29))) (let ((_let_52 (not _let_26))) (let ((_let_53 (_let_29))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_34 false _let_5)))) (let ((_let_55 (not _let_34))) (let ((_let_56 (not _let_32))) (let ((_let_57 (_let_34))) (let ((_let_58 (not _let_14))) (let ((_let_59 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_60 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 _let_7))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_60))) (let ((_let_65 (= _let_61 _let_64))) (let ((_let_66 (not _let_59))) (let ((_let_67 (_let_66))) (let ((_let_68 (_let_59))) (let ((_let_69 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_7) false)))))) (let ((_let_70 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_71 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_7))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (and _let_71 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_76 (= _let_72 _let_75))) (let ((_let_77 (not _let_70))) (let ((_let_78 (_let_77))) (let ((_let_79 (_let_70))) (let ((_let_80 (not _let_16))) (let ((_let_81 (not _let_20))) (let ((_let_82 (not _let_17))) (let ((_let_83 (_let_20))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_83) :args ((or _let_19 _let_82 _let_81))) _let_24 (CNF_AND_NEG :args (_let_26)) (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or (not _let_13) _let_80 _let_17))) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_25 _let_15 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args _let_69) :args _let_79)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_70))) (REFL :args ((not _let_74))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_71 (not _let_75)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or _let_73 _let_75 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_76 false _let_5)) (CNF_OR_NEG :args (_let_74 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG (REFL :args (_let_74)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_47)) :args ((or _let_72 _let_74))) :args (_let_74 false _let_75 false _let_76 true _let_71 false _let_72)) :args (_let_70 false _let_74)) :args (_let_36 false _let_70)) (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_15 _let_16 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args _let_69) :args _let_68)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_59))) (REFL :args ((not _let_63))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_60 (not _let_64)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or _let_62 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_37 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_65 false _let_5)) (CNF_OR_NEG :args (_let_63 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_47)) :args ((or _let_61 _let_63))) :args (_let_63 false _let_64 false _let_65 true _let_60 false _let_61)) :args (_let_59 false _let_63)) :args (_let_35 false _let_59)) (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_13 _let_58))) (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_9 _let_58))) (REORDERING (CNF_EQUIV_POS1 :args _let_57) :args ((or _let_56 _let_14 _let_55))) _let_54 (REORDERING (CNF_EQUIV_POS2 :args _let_53) :args ((or _let_28 _let_52 _let_51))) _let_30 (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_28 _let_32 _let_33))) _let_49 :args (_let_28 false _let_20 true _let_19 false _let_17 false _let_25 false _let_36 false _let_16 false _let_35 false _let_13 false _let_9 false _let_14 false _let_34 true _let_26 false _let_29 false _let_32 true _let_33)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_53) :args ((or (not _let_28) _let_26 _let_51))) _let_84 _let_30 :args (_let_26 false _let_28 false _let_29)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_83) :args ((or (not _let_19) _let_17 _let_81))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_19 _let_52))) _let_85 :args (_let_19 false _let_26)) _let_24 :args (_let_17 false _let_19 false _let_20)))) (let ((_let_87 (and _let_16 _let_25))) (let ((_let_88 (= _let_10 _let_87))) (let ((_let_89 (ASSUME :args (_let_10)))) (let ((_let_90 (ASSUME :args (_let_8)))) (let ((_let_91 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_89 _let_90 _let_91) :args (_let_8 _let_15 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_91)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63)) (SYMM (SYMM _let_90)) :args (APPLY_UF tptp.member)) (TRUE_INTRO _let_89))) :args (_let_10 _let_8 _let_15)) :args ((not (and _let_8 _let_15 _let_10)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_9))) (REFL :args ((not _let_10))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_88)) :args ((or _let_10 (not _let_87) (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_87)) :args ((or (not _let_25) _let_80 _let_87))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_25 _let_52))) _let_85 :args (_let_25 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_82))) _let_86 :args (_let_16 false _let_17)) :args (_let_87 false _let_25 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_21)) _let_22 :args (_let_88 false _let_5)) :args (_let_10 false _let_87 false _let_88)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_57) :args ((or _let_32 _let_58 _let_55))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_50) _let_49 _let_84 :args (_let_56 true _let_33 false _let_28)) _let_54 :args (_let_58 true _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_13 _let_82))) _let_86 :args (_let_13 false _let_17)) :args (_let_15 true _let_14 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_11)) _let_12 :args (_let_8 false _let_4)) :args (false false _let_10 true _let_9 false _let_8)) :args (_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_4 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.77/0.99  )
% 0.77/0.99  % SZS output end Proof for SET143+3
% 0.77/0.99  % cvc5---1.0.5 exiting
% 0.77/0.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------