TSTP Solution File: SET591+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET591+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 14:39:16 EDT 2023
% Result : Theorem 0.20s 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET591+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 12:21:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rQaqf4Exny/cvc5---1.0.5_4544.p...
% 0.20/0.57 ------- get file name : TPTP file name is SET591+3
% 0.20/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4544.smt2...
% 0.20/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57 % SZS status Theorem for SET591+3
% 0.20/0.57 % SZS output start Proof for SET591+3
% 0.20/0.57 (
% 0.20/0.57 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.subset B (tptp.difference C B)) (= B tptp.empty_set)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))))) (let ((_let_3 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))))) (let ((_let_4 (forall ((B $$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)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_7))) (let ((_let_9 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (_let_4))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (not _let_8))) (let ((_let_15 (forall ((C $$unsorted)) (not (tptp.member C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_15))) (let ((_let_18 (not _let_16))) (let ((_let_19 (or _let_18 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.empty_set)))) (let ((_let_20 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D tptp.empty_set))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_23 (= _let_22 _let_20))) (let ((_let_24 (not _let_20))) (let ((_let_25 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.subset B C)))) (let ((_let_29 (tptp.subset tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (and _let_29 _let_22))) (let ((_let_31 (not _let_22))) (let ((_let_32 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (not _let_30))) (let ((_let_35 (_let_2))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_32))) (let ((_let_40 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.subset B (tptp.difference C B))) (= tptp.empty_set B))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (forall ((D $$unsorted)) (or (not (tptp.member D tptp.empty_set)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_47 (= _let_29 _let_46))) (let ((_let_48 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 tptp.empty_set))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_51 (_let_3))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (not _let_46))) (let ((_let_54 (_let_53))) (let ((_let_55 (_let_24))) (let ((_let_56 (_let_15))) (let ((_let_57 (_let_17))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_17 (not _let_7)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args (_let_6)) :args _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_16))) :args _let_43)) :args ((or _let_16 _let_19))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_23)) :args ((or _let_22 _let_24 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_30)) :args ((or (not _let_29) _let_30 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_29 _let_53 (not _let_47)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_46))) (REFL :args ((not _let_50))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_43)) :args ((or _let_48 _let_50))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member B tptp.empty_set) false))))) :args _let_51)) _let_52 :args (_let_49 false _let_3)) :args (_let_50 true _let_48)) :args (_let_46 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_47 false _let_25)) :args (_let_29 false _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_32 _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_45 :args ((not _let_32) true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args _let_35)) _let_36 :args (_let_33 false _let_2)) :args (_let_34 true _let_32 false _let_33)) :args (_let_31 false _let_29 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_23 false _let_25)) :args (_let_24 true _let_22 false _let_23)) :args (_let_21 true _let_20)) :args (_let_16 true _let_19)) :args (_let_17 false _let_16)) :args (_let_6 true _let_15)))) (let ((_let_59 (or _let_7 _let_10))) (let ((_let_60 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_61 (= _let_37 _let_60))) (let ((_let_62 (_let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_8 (not _let_10) (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_7 _let_10 (not _let_59)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_ENUM)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_38 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_61 false _let_25)) :args (_let_60 false _let_37 false _let_61)) :args (_let_59 false _let_60)) :args (_let_10 false _let_6 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_14))) _let_58 :args (_let_14 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.difference B C))))) :args _let_12)) _let_13 :args (_let_11 false _let_4)) :args (false false _let_10 true _let_8 false _let_11)) :args (_let_5 _let_4 _let_3 _let_2 (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for SET591+3
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------