TSTP Solution File: SET624+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET624+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 14:39:34 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET624+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 13:56:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wUxkv13hTl/cvc5---1.0.5_14804.p...
% 0.20/0.54 ------- get file name : TPTP file name is SET624+3
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14804.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SET624+3
% 0.20/0.54 % SZS output start Proof for SET624+3
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersect B (tptp.union C D)) (or (tptp.intersect B C) (tptp.intersect B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (or _let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (_let_4))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 ((tptp.member D (tptp.union B C))))) (let ((_let_13 (not _let_8))) (let ((_let_14 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_7))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22))) (let ((_let_26 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (= _let_19 _let_28))) (let ((_let_30 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_24 _let_31))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (or _let_33 _let_30))) (let ((_let_35 (= _let_21 _let_34))) (let ((_let_36 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (= _let_27 _let_37))) (let ((_let_39 (not _let_33))) (let ((_let_40 (or _let_24 _let_39))) (let ((_let_41 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (not (forall ((D $$unsorted)) (or (not (tptp.member D B)) (not (tptp.member D C))))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.intersect B C)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_20 false _let_41)))) (let ((_let_46 (not _let_20))) (let ((_let_47 (or))) (let ((_let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_49 (_let_20))) (let ((_let_50 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_49) (CONG (REFL :args (_let_46)) (REFL :args (_let_19)) _let_48 :args _let_47)) :args ((or _let_19 _let_17 _let_46))))) (let ((_let_51 (_let_18))) (let ((_let_52 (not _let_29))) (let ((_let_53 (_let_2))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_52)) :args _let_47)) _let_54 :args (_let_52 true _let_1)))) (let ((_let_56 (_let_29))) (let ((_let_57 (CNF_EQUIV_NEG2 :args _let_56))) (let ((_let_58 (REFL :args (_let_25)))) (let ((_let_59 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_60 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_60))) (let ((_let_66 (not _let_59))) (let ((_let_67 (= _let_26 _let_66))) (let ((_let_68 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_7))) (let ((_let_69 (= _let_68 _let_65))) (let ((_let_70 (not _let_68))) (let ((_let_71 (or _let_63 _let_70))) (let ((_let_72 (REFL :args (_let_64)))) (let ((_let_73 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_47)) :args ((or _let_62 _let_64))))) (let ((_let_74 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_47)) :args ((or _let_60 _let_64))))) (let ((_let_75 (_let_59))) (let ((_let_76 ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_77 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76))) (let ((_let_78 (ASSUME :args _let_75))) (let ((_let_79 (REORDERING (CNF_OR_NEG :args (_let_65 1)) :args ((or _let_61 _let_65))))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_67 false _let_41)))) (let ((_let_81 (not _let_67))) (let ((_let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_59))))) (let ((_let_83 (_let_67))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_12)) :args _let_10)) _let_11 :args (_let_69 false _let_4)))) (let ((_let_85 (REORDERING (CNF_EQUIV_POS2 :args (_let_69)) :args ((or _let_68 (not _let_65) (not _let_69)))))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_63 _let_70 (not _let_71)))))) (let ((_let_87 (_let_17))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_77) :args _let_87)))) (let ((_let_90 (_let_66))) (let ((_let_91 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG _let_82 (REFL :args ((not _let_64))) :args _let_47)))) (let ((_let_92 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_38 false _let_41)))) (let ((_let_94 (not _let_38))) (let ((_let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))))) (let ((_let_96 (_let_38))) (let ((_let_97 (_let_36))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_24 _let_39 (not _let_40)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_97) :args _let_92) :args _let_97)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_30 (not _let_34)))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_96) (CONG (REFL :args (_let_94)) (REFL :args (_let_27)) _let_95 :args _let_47)) :args ((or _let_27 _let_36 _let_94))) _let_93 (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_22 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_12)) :args _let_10)) _let_11 :args (_let_35 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_24 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_92) :args _let_75)) (MACRO_RESOLUTION_TRUST _let_91 (MACRO_RESOLUTION_TRUST _let_50 _let_45 _let_89 _let_57 _let_55 _let_86 (CNF_OR_NEG :args (_let_28 1)) _let_85 _let_84 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_83) (CONG (REFL :args (_let_81)) (REFL :args (_let_26)) _let_82 :args _let_47)) :args ((or _let_26 _let_59 _let_81))) _let_80 _let_79 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_77) :args _let_75)) _let_74 _let_73 :args (_let_64 false _let_20 true _let_17 true _let_19 true _let_29 true _let_71 false _let_28 false _let_68 false _let_69 false _let_26 false _let_67 false _let_65 true _let_59 false _let_60 false _let_62)) :args (_let_59 false _let_64)) :args (_let_32 false _let_59)) (CNF_OR_NEG :args (_let_28 0)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_47)) :args ((or _let_21 _let_25))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_47)) :args ((or _let_23 _let_25))) _let_57 _let_55 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG _let_48 (REFL :args ((not _let_25))) :args _let_47)) _let_50 _let_45 :args (_let_17 false _let_40 false _let_33 false _let_36 false _let_38 false _let_34 false _let_35 true _let_30 false _let_32 true _let_27 false _let_21 false _let_23 true _let_28 true _let_29 true _let_25 false _let_19 false _let_20)))) (let ((_let_99 (not _let_5))) (let ((_let_100 (or _let_15 _let_99))) (let ((_let_101 (not _let_100))) (let ((_let_102 (not _let_19))) (let ((_let_103 (_let_37))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG _let_95 (REFL :args (_let_101)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_96) :args ((or (not _let_27) _let_37 _let_94))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_85 _let_84 _let_79 _let_86 _let_74 _let_73 _let_91 (REORDERING (CNF_EQUIV_POS1 :args _let_83) :args ((or (not _let_26) _let_66 _let_81))) _let_80 _let_89 (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 (not _let_28)))) _let_50 _let_45 (REORDERING (CNF_EQUIV_NEG1 :args _let_56) :args ((or _let_19 _let_28 _let_29))) _let_55 :args ((or _let_19 _let_27) false _let_69 false _let_65 true _let_68 false _let_60 false _let_62 true _let_64 true _let_59 false _let_67 false _let_71 false _let_26 false _let_17 false _let_20 false _let_28 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_102 _let_18 _let_46))) _let_98 _let_45 :args (_let_102 false _let_17 false _let_20)) :args (_let_27 true _let_19)) _let_93 :args (_let_37 false _let_27 false _let_38)) :args (_let_101 true _let_36)))) (let ((_let_105 (REFL :args (_let_100)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_9)) :args ((or _let_8 (not _let_6) (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_6 0)) :args ((or _let_99 _let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_5))) :args _let_47)) :args ((or _let_5 _let_100))) _let_104 :args (_let_5 true _let_100)) :args (_let_6 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_13 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_47)) :args ((or _let_14 _let_100))) _let_104 :args (_let_14 true _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_87)) _let_98 :args (_let_16 false _let_17)) :args (_let_13 false _let_14 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_12)) :args _let_10)) _let_11 :args (_let_9 false _let_4)) :args (false false _let_6 true _let_8 false _let_9)) :args (_let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.intersect B C) (tptp.intersect C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SET624+3
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------