TSTP Solution File: SET173+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 14:38:04 EDT 2023
% Result : Theorem 0.22s 0.58s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET173+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 16:27:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.He30AGI2Aa/cvc5---1.0.5_8145.p...
% 0.22/0.58 ------- get file name : TPTP file name is SET173+3
% 0.22/0.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8145.smt2...
% 0.22/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.58 % SZS status Theorem for SET173+3
% 0.22/0.58 % SZS output start Proof for SET173+3
% 0.22/0.58 (
% 0.22/0.58 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B (tptp.union B C)) B))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_4 (forall ((B $$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) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (or _let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_10 (= _let_7 _let_9))) (let ((_let_11 (and _let_7 _let_8))) (let ((_let_12 (not _let_7))) (let ((_let_13 (tptp.intersection _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_13))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (not _let_11))) (let ((_let_17 (_let_4))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_17)) _let_18 :args (_let_15 false _let_4)))) (let ((_let_20 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_20))) (let ((_let_22 (= _let_8 _let_21))) (let ((_let_23 (= _let_20 _let_13))) (let ((_let_24 (not _let_14))) (let ((_let_25 (not _let_15))) (let ((_let_26 (_let_15))) (let ((_let_27 (forall ((D $$unsorted)) (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_28 (not _let_22))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_30 (= _let_29 _let_27))) (let ((_let_31 (not _let_27))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (forall ((B $$unsorted) (C $$unsorted)) (= B (tptp.intersection B (tptp.union B C)))))) (let ((_let_35 (not _let_29))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (_let_31))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_29 _let_31 (not _let_30)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_30 false _let_2)) :args (_let_31 true _let_29 false _let_30)) :args (_let_28 true _let_27)))) (let ((_let_41 (_let_22))) (let ((_let_42 (_let_3))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_42)) _let_43 :args (_let_23 false _let_3)))) (let ((_let_45 (not _let_23))) (let ((_let_46 (and _let_23 _let_14))) (let ((_let_47 (ASSUME :args (_let_14)))) (let ((_let_48 (ASSUME :args (_let_23)))) (let ((_let_49 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (SYMM (SYMM _let_48)) :args (APPLY_UF tptp.member)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_48) (SCOPE (TRUE_ELIM (TRANS _let_49 (TRUE_INTRO _let_47))) :args (_let_14 _let_23))) :args (_let_23 _let_14))) :args (true _let_46)) :args ((or _let_45 _let_21 _let_24))) _let_44 (CNF_EQUIV_NEG2 :args _let_41) _let_40 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_8 _let_16))) (REORDERING (CNF_EQUIV_POS1 :args _let_26) :args ((or _let_11 _let_24 _let_25))) _let_19 :args (_let_24 false _let_23 true _let_21 true _let_22 false _let_8 false _let_11 false _let_15)))) (let ((_let_51 (not _let_21))) (let ((_let_52 (and _let_23 _let_24))) (let ((_let_53 (ASSUME :args (_let_24)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_41) :args ((or _let_8 _let_21 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_48) (SCOPE (FALSE_ELIM (TRANS _let_49 (FALSE_INTRO _let_53))) :args (_let_24 _let_23))) :args (_let_23 _let_24))) :args (true _let_52)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_14))) (REFL :args (_let_51)) :args _let_37)) :args ((or _let_45 _let_51 _let_14))) _let_50 _let_44 :args (_let_51 true _let_14 false _let_23)) _let_40 :args (_let_8 true _let_21 true _let_22)))) (let ((_let_55 (not _let_8))) (let ((_let_56 (_let_5))) (let ((_let_57 (ASSUME :args _let_56))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_7 (not _let_9) (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_56)) _let_57 :args (_let_10 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_9 0)) :args ((or _let_55 _let_9))) _let_54 :args (_let_9 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_11)) :args ((or _let_55 _let_11 _let_12))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_26) :args ((or _let_14 _let_16 _let_25))) _let_50 _let_19 :args (_let_16 true _let_14 false _let_15)) :args (_let_12 false _let_8 true _let_11)) :args (false false _let_10 false _let_9 true _let_7)) :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))) _let_3 (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 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.58 )
% 0.22/0.58 % SZS output end Proof for SET173+3
% 0.22/0.58 % cvc5---1.0.5 exiting
% 0.22/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------