TSTP Solution File: SET630+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 14:39:37 EDT 2023
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 13:29:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.n6gQwqoNd9/cvc5---1.0.5_22888.p...
% 0.22/0.55 ------- get file name : TPTP file name is SET630+3
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22888.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Theorem for SET630+3
% 0.22/0.55 % SZS output start Proof for SET630+3
% 0.22/0.55 (
% 0.22/0.55 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (tptp.disjoint (tptp.intersection B C) (tptp.symmetric_difference B C))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.disjoint B C) (not (tptp.intersect B C)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (tptp.disjoint (tptp.intersection B C) (tptp.difference B C))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersect B (tptp.union C D)) (or (tptp.intersect B C) (tptp.intersect B D)))))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_8 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.intersect _let_9 _let_8))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.disjoint _let_9 _let_8))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (_let_4))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (not _let_13))) (let ((_let_17 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.intersect _let_17 _let_8))) (let ((_let_19 (= _let_17 _let_9))) (let ((_let_20 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.intersect _let_17 _let_20))) (let ((_let_22 (or _let_21 _let_18))) (let ((_let_23 (tptp.union _let_20 _let_8))) (let ((_let_24 (tptp.intersect _let_17 _let_23))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (_let_6))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (= _let_28 _let_23))) (let ((_let_30 (tptp.intersect _let_17 _let_28))) (let ((_let_31 (_let_7))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_30))) (let ((_let_34 (tptp.disjoint _let_17 _let_28))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 ((tptp.disjoint B C)))) (let ((_let_37 (not _let_34))) (let ((_let_38 (_let_2))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (or))) (let ((_let_41 (not _let_35))) (let ((_let_42 (and _let_29 _let_30))) (let ((_let_43 (ASSUME :args (_let_30)))) (let ((_let_44 (APPLY_UF tptp.intersect))) (let ((_let_45 (ASSUME :args (_let_29)))) (let ((_let_46 (not _let_21))) (let ((_let_47 (tptp.disjoint _let_17 _let_20))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (_let_5))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.intersection B C)))) (let ((_let_52 (_let_3))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (and _let_19 _let_18))) (let ((_let_55 (ASSUME :args (_let_18)))) (let ((_let_56 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_12) _let_11 _let_16))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_12 false _let_5)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_56) (REFL :args (_let_8)) :args _let_44) (TRUE_INTRO _let_55))) :args (_let_18 _let_19))) :args (_let_19 _let_18))) :args (true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_52)) _let_53 :args (_let_19 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_18 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or (not _let_47) _let_46 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_47 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_17 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_14)) _let_15 :args (_let_48 false _let_4)) :args (_let_46 false _let_47 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_22 (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_43 _let_45) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_17)) (SYMM _let_45) :args _let_44) (TRUE_INTRO _let_43))) :args (_let_30 _let_29))) :args (_let_29 _let_30))) :args (true _let_42)) :args ((or _let_33 (not _let_29) _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_35)) (CONG (REFL :args (_let_41)) (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_30))) :args _let_40)) :args ((or _let_34 _let_30 _let_41))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_37)) :args _let_40)) _let_39 :args (_let_37 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_17 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_14)) _let_15 :args (_let_35 false _let_4)) :args (_let_30 true _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_31)) _let_32 :args (_let_29 false _let_7)) :args (_let_24 false _let_30 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_17 _let_20 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.intersect B (tptp.union C D))))) :args _let_26)) _let_27 :args (_let_25 false _let_6)) :args (_let_22 false _let_24 false _let_25)) :args (_let_18 true _let_21 false _let_22)) :args (_let_10 false _let_19 false _let_18)) :args (_let_16 false _let_12 false _let_10)) _let_15 :args (false true _let_13 false _let_4)) :args (_let_7 _let_6 _let_5 (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.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))) _let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))) (forall ((B $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56 )
% 0.22/0.56 % SZS output end Proof for SET630+3
% 0.22/0.56 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------