TSTP Solution File: SET595+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 0.17s 0.45s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 12:23:28 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.41 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.45 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bBUN6f01xt/cvc5---1.0.5_26882.p...
% 0.17/0.45 ------- get file name : TPTP file name is SET595+3
% 0.17/0.45 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26882.smt2...
% 0.17/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.45 % SZS status Theorem for SET595+3
% 0.17/0.45 % SZS output start Proof for SET595+3
% 0.17/0.45 (
% 0.17/0.45 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.subset B C) (= C (tptp.union B (tptp.difference C B)))))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_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 $$unsorted)) (=> (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))) (= B C))))) (let ((_let_6 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= _let_11 _let_6))) (let ((_let_13 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (or (not (tptp.member D B)) (tptp.member D C))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_18 (not _let_11))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.subset B C)) (= C (tptp.union B (tptp.difference C B))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (not _let_10))) (let ((_let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_15))) (let ((_let_28 (or _let_8 _let_27))) (let ((_let_29 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_16))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (_let_4))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.union B C))))) :args _let_31)) _let_32 :args (_let_30 false _let_4)))) (let ((_let_34 (= _let_7 _let_29))) (let ((_let_35 (and _let_7 _let_9))) (let ((_let_36 (= _let_27 _let_35))) (let ((_let_37 (forall ((D $$unsorted)) (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_38 (not _let_34))) (let ((_let_39 (not _let_37))) (let ((_let_40 (or _let_39 _let_17))) (let ((_let_41 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C)))) (= B C))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_39))) (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_39) _let_37))) (REFL :args (_let_38)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_17 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_25 :args ((not _let_17) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_ENUM)) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 true _let_17 false _let_40)) :args (_let_38 true _let_37)))) (let ((_let_45 (_let_34))) (let ((_let_46 (not _let_30))) (let ((_let_47 (not _let_28))) (let ((_let_48 (_let_30))) (let ((_let_49 (not _let_7))) (let ((_let_50 (_let_35))) (let ((_let_51 (_let_3))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.difference B C))))) :args _let_51)) _let_52 :args (_let_36 false _let_3)))) (let ((_let_54 (not _let_36))) (let ((_let_55 (not _let_35))) (let ((_let_56 (_let_36))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_56) :args ((or _let_27 _let_55 _let_54))) _let_53 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_50) (CONG (REFL :args _let_50) (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_23)) :args ((or _let_49 _let_8 _let_35))) (CNF_OR_NEG :args (_let_28 1)) (CNF_OR_NEG :args (_let_28 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_48) :args ((or _let_29 _let_47 _let_46))) _let_33 (REORDERING (CNF_EQUIV_NEG1 :args _let_45) :args ((or _let_7 _let_29 _let_34))) _let_44 :args (_let_29 false _let_36 false _let_35 true _let_27 true _let_8 true _let_28 false _let_30 false _let_7 true _let_34)))) (let ((_let_58 (not _let_27))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_45) _let_44 _let_57 :args (_let_49 true _let_34 false _let_29)))) (let ((_let_60 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_7 _let_9 _let_26))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_8 _let_27 _let_47))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_56) :args ((or _let_35 _let_58 _let_54))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_7 _let_55))) _let_59 :args (_let_55 true _let_7)) _let_53 :args (_let_58 true _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_48) :args ((or (not _let_29) _let_28 _let_46))) _let_57 _let_33 :args (_let_28 false _let_29 false _let_30)) :args (_let_8 true _let_27 false _let_28)) :args (_let_26 true _let_7 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or _let_18 _let_6 (not _let_12)))) (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_11))) :args _let_23)) :args ((or _let_11 _let_19))) _let_25 :args (_let_11 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args (_let_13))) _let_14 :args (_let_12 false _let_13)) :args (_let_6 false _let_11 false _let_12)) :args (false true _let_10 false _let_6)) :args (_let_5 _let_4 _let_3 _let_2 (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))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.45 )
% 0.17/0.45 % SZS output end Proof for SET595+3
% 0.17/0.45 % cvc5---1.0.5 exiting
% 0.17/0.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------