TSTP Solution File: SET607+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 0.14s 0.55s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 12:43:14 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.40 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dHXrFhQ77q/cvc5---1.0.5_10384.p...
% 0.14/0.55 ------- get file name : TPTP file name is SET607+3
% 0.14/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10384.smt2...
% 0.14/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.55 % SZS status Theorem for SET607+3
% 0.14/0.55 % SZS output start Proof for SET607+3
% 0.14/0.55 (
% 0.14/0.55 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B (tptp.difference C B)) (tptp.union B C))))) (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 $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_7))) (let ((_let_9 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (forall ((D $$unsorted)) (= (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (= _let_7 _let_9))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (not _let_12))) (let ((_let_17 (_let_3))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_14))) (let ((_let_20 (_let_2))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (or))) (let ((_let_23 (_let_16))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args (_let_13)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 _let_16 (not _let_15)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_19)) :args _let_22)) _let_21 :args (_let_19 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 _let_7 QUANTIFIERS_INST_ENUM)) :args _let_17))) _let_18 :args (_let_15 false _let_3)) :args (_let_16 true _let_14 false _let_15)) :args (_let_13 true _let_12)))) (let ((_let_25 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_8))) (let ((_let_28 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_29 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_7))) (let ((_let_30 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 _let_6))) (let ((_let_34 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (= _let_29 _let_35))) (let ((_let_37 (not _let_34))) (let ((_let_38 (or _let_37 _let_29))) (let ((_let_39 (and _let_30 _let_37))) (let ((_let_40 (= _let_33 _let_39))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.member D (tptp.union B C))))) (let ((_let_44 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_45 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_7))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (or _let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_6)))) (let ((_let_50 (= _let_45 _let_49))) (let ((_let_51 (not _let_44))) (let ((_let_52 (_let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_44))) (REFL :args ((not _let_48))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_45 (not _let_49) (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_50 false _let_5)) (REORDERING (CNF_OR_NEG :args (_let_49 0)) :args ((or _let_47 _let_49))) (CNF_OR_NEG :args (_let_48 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_22)) :args ((or _let_46 _let_48))) :args (_let_48 false _let_50 false _let_49 true _let_45 false _let_46)) :args (_let_44 false _let_48)))) (let ((_let_54 (_let_44))) (let ((_let_55 ((not (= (tptp.member D _let_7) true))))) (let ((_let_56 (ASSUME :args _let_54))) (let ((_let_57 (_let_39))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.member D (tptp.difference B C))))) (let ((_let_61 (not _let_28))) (let ((_let_62 (_let_61))) (let ((_let_63 (_let_28))) (let ((_let_64 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55))) (let ((_let_65 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (and _let_25 _let_66))) (let ((_let_68 (or _let_65 _let_25))) (let ((_let_69 (or _let_66 _let_8))) (let ((_let_70 (= _let_10 _let_68))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_70 false _let_5)))) (let ((_let_72 (not _let_70))) (let ((_let_73 (not _let_68))) (let ((_let_74 (_let_70))) (let ((_let_75 (REORDERING (CNF_EQUIV_POS2 :args _let_74) :args ((or _let_10 _let_73 _let_72))))) (let ((_let_76 (_let_11))) (let ((_let_77 (CNF_EQUIV_NEG2 :args _let_76))) (let ((_let_78 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_6))) (let ((_let_79 (= _let_78 _let_67))) (let ((_let_80 (or _let_65 _let_78))) (let ((_let_81 (= _let_8 _let_80))) (let ((_let_82 (_let_67))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 0)) :args ((or _let_25 (not _let_67)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_76) :args ((or _let_10 _let_8 _let_11))) _let_24 (REORDERING (CNF_EQUIV_POS1 :args _let_74) :args ((or (not _let_10) _let_68 _let_72))) _let_71 (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_8) _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_81 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_65 _let_25 _let_73))) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_65 _let_78 (not _let_80)))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_82) (CONG (REFL :args _let_82) (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_22)) :args ((or _let_65 _let_26 _let_67))) (REORDERING (CNF_EQUIV_POS1 :args (_let_79)) :args ((or (not _let_78) _let_67 (not _let_79)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args ((or _let_65 _let_67) true _let_11 true _let_10 false _let_70 true _let_8 false _let_81 true _let_68 true _let_80 true _let_25 true _let_78 false _let_79 false _let_4)) (MACRO_RESOLUTION_TRUST _let_77 _let_24 _let_75 _let_71 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_8 _let_66 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_64) :args _let_54)) _let_53 :args (_let_69 false _let_44)) (CNF_OR_NEG :args (_let_68 0)) :args (_let_66 true _let_11 false _let_10 false _let_70 false _let_8 false _let_69 false _let_68)) :args (_let_67 true _let_65)) :args (_let_25 false _let_67)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_77 (MACRO_RESOLUTION_TRUST _let_75 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 1)) _let_83 :args (_let_68 false _let_25)) _let_71 :args (_let_10 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_8 _let_26 (not _let_27)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args _let_64) :args _let_63)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_28))) (REFL :args ((not _let_32))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_33 (not _let_39) (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_40 false _let_4)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_57) (CONG (REFL :args _let_57) (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) :args _let_22)) :args ((or _let_31 _let_34 _let_39))) (CNF_OR_NEG :args (_let_35 1)) (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_29 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_38 false _let_44)) (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_29 (not _let_35) (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_36 false _let_5)) (CNF_OR_NEG :args (_let_32 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_22)) :args ((or _let_30 _let_32))) :args (_let_32 false _let_40 false _let_39 true _let_33 true _let_34 false _let_38 true _let_35 false _let_36 true _let_29 false _let_30)) :args (_let_28 false _let_32)) :args (_let_27 false _let_28)) :args (_let_8 false _let_25 false _let_27)) _let_24 :args (false false _let_10 false _let_8 true _let_11)) :args (_let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.56 )
% 0.14/0.56 % SZS output end Proof for SET607+3
% 0.14/0.56 % cvc5---1.0.5 exiting
% 0.14/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------