TSTP Solution File: SET594+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 14:39:17 EDT 2023
% Result : Theorem 0.23s 0.57s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 09:33:03 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.23/0.53 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pBfQ9HxMaK/cvc5---1.0.5_9089.p...
% 0.23/0.57 ------- get file name : TPTP file name is SET594+3
% 0.23/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9089.smt2...
% 0.23/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.57 % SZS status Theorem for SET594+3
% 0.23/0.57 % SZS output start Proof for SET594+3
% 0.23/0.57 (
% 0.23/0.57 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (= (tptp.union (tptp.intersection B C) (tptp.intersection B D)) B) (tptp.subset B (tptp.union C D))))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_6 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_12))) (let ((_let_14 (or _let_13 _let_7))) (let ((_let_15 (tptp.union _let_12 _let_6))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_15))) (let ((_let_17 (= _let_16 _let_14))) (let ((_let_18 (_let_4))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((tptp.member D (tptp.union B C))))) (let ((_let_21 (tptp.union _let_6 _let_12))) (let ((_let_22 (= _let_21 _let_15))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_24 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_24))) (let ((_let_26 (not _let_9))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (not _let_28))) (let ((_let_33 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (not _let_23))) (let ((_let_36 (or _let_35 _let_30))) (let ((_let_37 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= B (tptp.union (tptp.intersection B C) (tptp.intersection B D)))) (tptp.subset B (tptp.union C D)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (_let_32))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_30 _let_32 (not _let_31)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) _let_42 :args ((not _let_30) true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args (_let_33))) _let_34 :args (_let_31 false _let_33)) :args (_let_32 true _let_30 false _let_31)) :args (_let_29 true _let_28)))) (let ((_let_45 (_let_2))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (and _let_23 _let_22 _let_9))) (let ((_let_48 (ASSUME :args (_let_9)))) (let ((_let_49 (ASSUME :args (_let_23)))) (let ((_let_50 (ASSUME :args (_let_22)))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (and _let_9 _let_51))) (let ((_let_53 (= _let_13 _let_52))) (let ((_let_54 (not _let_13))) (let ((_let_55 (_let_3))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.member D (tptp.intersection B C))))) (let ((_let_58 (not _let_52))) (let ((_let_59 (or _let_8 _let_51))) (let ((_let_60 (= _let_25 _let_59))) (let ((_let_61 (not _let_59))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_25 _let_61 (not _let_60)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 1)) _let_44 :args ((not _let_25) true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_20)) :args _let_18)) _let_19 :args (_let_60 false _let_4)) :args (_let_61 true _let_25 false _let_60)))) (let ((_let_63 (not _let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or (not _let_7) _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_11 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_63))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_59 0)) _let_62 :args ((not _let_8) true _let_59)) :args (_let_63 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_7 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_54 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 _let_58))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_59 1)) _let_62 :args ((not _let_51) true _let_59)) :args (_let_58 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_53 false _let_3)) :args (_let_54 true _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_14 (not _let_16) (not _let_17)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_49 _let_50) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (TRANS (SYMM _let_50) (SYMM _let_49)) :args (APPLY_UF tptp.member)) (TRUE_INTRO _let_48))) :args (_let_9 _let_23 _let_22))) :args (_let_23 _let_22 _let_9))) :args (true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_23))) :args _let_40)) :args ((or _let_23 _let_36))) _let_42 :args (_let_23 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_6 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B C)))) :args _let_45)) _let_46 :args (_let_22 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_9))) :args _let_40)) :args ((or _let_9 _let_27))) _let_44 :args (_let_9 true _let_27)) :args (_let_16 false _let_23 false _let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_20)) :args _let_18)) _let_19 :args (_let_17 false _let_4)) :args (_let_14 false _let_16 false _let_17)) :args (_let_7 true _let_13 false _let_14)) :args (false false _let_11 true _let_10 false _let_7)) :args (_let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))) (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.58 )
% 0.23/0.58 % SZS output end Proof for SET594+3
% 0.23/0.58 % cvc5---1.0.5 exiting
% 0.23/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------