TSTP Solution File: SET638+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET638+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 14:39:41 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET638+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n028.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 14:43:52 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P6cHGA1GsL/cvc5---1.0.5_28947.p...
% 0.20/0.55 ------- get file name : TPTP file name is SET638+3
% 0.20/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28947.smt2...
% 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Theorem for SET638+3
% 0.20/0.55 % SZS output start Proof for SET638+3
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.subset B (tptp.union C D)) (= (tptp.intersection B D) tptp.empty_set)) (tptp.subset B C)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection B (tptp.union C D)) (tptp.union (tptp.intersection B C) (tptp.intersection B D)))))) (let ((_let_4 (forall ((B $$unsorted)) (= (tptp.union B tptp.empty_set) B)))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.subset B C) (= (tptp.intersection B C) B))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset (tptp.intersection B C) B)))) (let ((_let_7 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (= tptp.empty_set _let_7))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_13 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= _let_11 (tptp.union _let_13 _let_7)))) (let ((_let_15 (= _let_13 (tptp.union _let_13 tptp.empty_set)))) (let ((_let_16 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.subset _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_8))) (let ((_let_20 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_9))) (let ((_let_23 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset B (tptp.union C D))) (not (= tptp.empty_set (tptp.intersection B D))) (tptp.subset B C))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (REFL :args (_let_22)))) (let ((_let_30 (not _let_9))) (let ((_let_31 (or _let_21 _let_12))) (let ((_let_32 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.subset B C)) (= B (tptp.intersection B C)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_3))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (forall ((B $$unsorted)) (= B (tptp.union B tptp.empty_set))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_2))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (ASSUME :args (_let_18)))) (let ((_let_43 (ASSUME :args (_let_17)))) (let ((_let_44 (ASSUME :args (_let_15)))) (let ((_let_45 (ASSUME :args (_let_8)))) (let ((_let_46 (ASSUME :args (_let_14)))) (let ((_let_47 (ASSUME :args (_let_12)))) (let ((_let_48 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44 _let_45 _let_46 _let_47 _let_48) :args (_let_8 _let_30 _let_12 _let_14 _let_15 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_48)) (CONG (TRANS (SYMM (SYMM _let_47)) (SYMM (SYMM _let_46)) (CONG (REFL :args (_let_13)) (SYMM _let_45) :args (APPLY_UF tptp.union)) (SYMM _let_44) (SYMM (SYMM _let_43))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_42))) :args (_let_18 _let_17 _let_15 _let_8 _let_14 _let_12 _let_30)) :args ((not (and _let_8 _let_30 _let_12 _let_14 _let_15 _let_17 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_9))) (REFL :args ((not _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_40)) _let_41 :args (_let_18 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_38)) _let_39 :args (_let_17 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B tptp.empty_set)))) :args (_let_36))) _let_37 :args (_let_15 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.intersection B (tptp.union C D))))) :args _let_34)) _let_35 :args (_let_14 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_21 _let_12 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_26)) :args ((or _let_20 _let_22))) _let_28 :args (_let_20 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset B C) false))))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_12 false _let_20 false _let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 2)) _let_28 :args (_let_30 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_8))) :args _let_26)) :args ((or _let_8 _let_22))) _let_28 :args (_let_8 true _let_22)) :args (false false _let_18 false _let_17 false _let_15 false _let_14 false _let_12 true _let_9 false _let_8)) :args (_let_6 _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_2 (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SET638+3
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------