TSTP Solution File: SET612+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET612+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 14:39:28 EDT 2023
% Result : Theorem 21.60s 21.85s
% Output : Proof 21.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET612+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : do_cvc5 %s %d
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 15:48:07 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.16/0.44 %----Proving TF0_NAR, FOF, or CNF
% 21.60/21.85 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HCAJTxEOdz/cvc5---1.0.5_22846.p...
% 21.60/21.85 ------- get file name : TPTP file name is SET612+3
% 21.60/21.85 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22846.smt2...
% 21.60/21.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.60/21.85 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.60/21.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.60/21.85 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.60/21.85 % SZS status Theorem for SET612+3
% 21.60/21.85 % SZS output start Proof for SET612+3
% 21.60/21.85 (
% 21.60/21.85 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference B (tptp.union C D)) (tptp.intersection (tptp.difference B C) (tptp.difference B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (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_7 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_7))) (let ((_let_9 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_9))) (let ((_let_11 (and _let_10 _let_8))) (let ((_let_12 (tptp.intersection _let_9 _let_7))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_12))) (let ((_let_14 (= _let_13 _let_11))) (let ((_let_15 (not _let_11))) (let ((_let_16 (_let_5))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_9 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_17 :args (_let_14 false _let_5)))) (let ((_let_19 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_20))) (let ((_let_22 (= _let_13 _let_21))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_19))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (and _let_25 _let_24))) (let ((_let_27 (= _let_21 _let_26))) (let ((_let_28 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (and _let_25 _let_29))) (let ((_let_31 (= _let_10 _let_30))) (let ((_let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (not _let_32))) (let ((_let_34 (and _let_25 _let_33))) (let ((_let_35 (= _let_8 _let_34))) (let ((_let_36 (or _let_28 _let_32))) (let ((_let_37 (= _let_23 _let_36))) (let ((_let_38 (not _let_13))) (let ((_let_39 (forall ((D $$unsorted)) (= (tptp.member D (tptp.intersection (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_40 (not _let_22))) (let ((_let_41 (= _let_20 _let_12))) (let ((_let_42 (= _let_41 _let_39))) (let ((_let_43 (not _let_39))) (let ((_let_44 (_let_3))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_41))) (let ((_let_47 (_let_2))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (or))) (let ((_let_50 (_let_43))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_41 _let_43 (not _let_42)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_46)) :args _let_49)) _let_48 :args (_let_46 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_20 _let_12 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_44))) _let_45 :args (_let_42 false _let_3)) :args (_let_43 true _let_41 false _let_42)) :args (_let_40 true _let_39)))) (let ((_let_52 (_let_22))) (let ((_let_53 (not _let_14))) (let ((_let_54 (_let_14))) (let ((_let_55 (_let_4))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_56 :args (_let_27 false _let_4)))) (let ((_let_58 (not _let_27))) (let ((_let_59 (not _let_26))) (let ((_let_60 (_let_27))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_56 :args (_let_31 false _let_4)))) (let ((_let_62 (not _let_31))) (let ((_let_63 (_let_31))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_56 :args (_let_35 false _let_4)))) (let ((_let_65 (not _let_35))) (let ((_let_66 (_let_35))) (let ((_let_67 (not _let_30))) (let ((_let_68 (not _let_34))) (let ((_let_69 (not _let_25))) (let ((_let_70 (REFL :args (_let_69)))) (let ((_let_71 (_let_26))) (let ((_let_72 (not _let_36))) (let ((_let_73 (_let_6))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73)) _let_74 :args (_let_37 false _let_6)))) (let ((_let_76 (not _let_37))) (let ((_let_77 (_let_37))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_77) :args ((or _let_24 _let_36 _let_76))) _let_75 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_28 _let_32 _let_72))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_71) (CONG (REFL :args _let_71) _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_49)) :args ((or _let_69 _let_23 _let_26))) (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_33 _let_68))) (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_29 _let_67))) (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_25 _let_67))) (REORDERING (CNF_EQUIV_POS1 :args _let_66) :args ((or (not _let_8) _let_34 _let_65))) _let_64 (REORDERING (CNF_EQUIV_POS1 :args _let_63) :args ((or (not _let_10) _let_30 _let_62))) _let_61 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_8 _let_15))) (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_15))) (REORDERING (CNF_EQUIV_POS2 :args _let_60) :args ((or _let_21 _let_59 _let_58))) _let_57 (REORDERING (CNF_EQUIV_POS1 :args _let_54) :args ((or _let_38 _let_11 _let_53))) _let_18 (CNF_EQUIV_NEG2 :args _let_52) _let_51 :args (_let_38 false _let_37 true _let_36 false _let_23 true _let_32 true _let_28 false _let_25 false _let_34 false _let_35 false _let_30 false _let_31 false _let_8 false _let_10 true _let_26 false _let_27 false _let_11 false _let_14 true _let_21 true _let_22)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_60) :args ((or (not _let_21) _let_26 _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_52) :args ((or _let_13 _let_21 _let_22))) _let_78 _let_51 :args (_let_21 true _let_13 true _let_22)) _let_57 :args (_let_26 false _let_21 false _let_27)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_25 _let_59))) _let_79 :args (_let_25 false _let_26)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_77) :args ((or _let_23 _let_72 _let_76))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_24 _let_59))) _let_79 :args (_let_24 false _let_26)) _let_75 :args (_let_72 true _let_23 false _let_37)))) (let ((_let_82 (_let_30))) (let ((_let_83 (_let_34))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_66) :args ((or _let_8 _let_68 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_83) (CONG (REFL :args _let_83) _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_49)) :args ((or _let_32 _let_34 _let_69))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_36 1)) :args ((or _let_33 _let_36))) _let_81 :args (_let_33 true _let_36)) _let_80 :args (_let_34 true _let_32 false _let_25)) _let_64 :args (_let_8 false _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_63) :args ((or _let_10 _let_67 _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_82) (CONG (REFL :args _let_82) _let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_49)) :args ((or _let_28 _let_69 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_36 0)) :args ((or _let_29 _let_36))) _let_81 :args (_let_29 true _let_36)) _let_80 :args (_let_30 true _let_28 false _let_25)) _let_61 :args (_let_10 false _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_54) :args ((or _let_13 _let_15 _let_53))) _let_78 _let_18 :args (_let_15 true _let_13 false _let_14)) :args (false false _let_8 false _let_10 true _let_11)) :args (_let_6 _let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset B (tptp.union B C))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.subset B C) (tptp.subset B D)) (tptp.subset B (tptp.intersection C D)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.subset B C) (tptp.subset (tptp.difference D C) (tptp.difference D B)))) (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)) (= (tptp.intersection B C) (tptp.intersection C B))) (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_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.60/21.86 )
% 21.60/21.86 % SZS output end Proof for SET612+3
% 21.60/21.86 % cvc5---1.0.5 exiting
% 21.60/21.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------