TSTP Solution File: SET619+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET619+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 14:39:31 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET619+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 13:41:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vzOQ5n93Jd/cvc5---1.0.5_24310.p...
% 0.21/0.54 ------- get file name : TPTP file name is SET619+3
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24310.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SET619+3
% 0.21/0.54 % SZS output start Proof for SET619+3
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union (tptp.symmetric_difference B C) (tptp.intersection B C)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union (tptp.intersection B C) (tptp.difference B C)) B)))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B (tptp.intersection B C)) B)))) (let ((_let_8 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.union (tptp.union B C) D) (tptp.union B (tptp.union C D)))))) (let ((_let_9 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_10 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.union _let_11 _let_10))) (let ((_let_13 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.union _let_13 _let_11))) (let ((_let_15 (= (tptp.union _let_14 _let_10) (tptp.union _let_13 _let_12)))) (let ((_let_16 (_let_8))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13)))) (let ((_let_20 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.union _let_20 _let_10))) (let ((_let_22 (= (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20) _let_10) (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21)))) (let ((_let_23 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 _let_12))) (let ((_let_25 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (= _let_20 _let_13))) (let ((_let_28 (tptp.union _let_25 _let_20))) (let ((_let_29 (= _let_28 (tptp.union _let_20 _let_25)))) (let ((_let_30 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (= _let_30 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_33 (= _let_30 _let_28))) (let ((_let_34 (not _let_15))) (let ((_let_35 (forall ((B $$unsorted) (C $$unsorted)) (= B (tptp.union (tptp.intersection B C) (tptp.difference B C)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.intersection B C)))) (let ((_let_39 (forall ((B $$unsorted) (C $$unsorted)) (= B (tptp.union B (tptp.intersection B C)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_9))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_3))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_4))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.union B C)))) (let ((_let_50 (not _let_33))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (or))) (let ((_let_54 (_let_50))) (let ((_let_55 (and _let_50 _let_32 _let_31 _let_29 _let_27 _let_26 _let_24 _let_22 _let_19 _let_18))) (let ((_let_56 (ASSUME :args _let_54))) (let ((_let_57 (ASSUME :args (_let_29)))) (let ((_let_58 (APPLY_UF tptp.union))) (let ((_let_59 (ASSUME :args (_let_26)))) (let ((_let_60 (ASSUME :args (_let_24)))) (let ((_let_61 (ASSUME :args (_let_27)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_31)))) (let ((_let_64 (ASSUME :args (_let_32)))) (let ((_let_65 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_66 (ASSUME :args (_let_22)))) (let ((_let_67 (ASSUME :args (_let_19)))) (let ((_let_68 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_13 _let_11 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.union (tptp.union B C) D)))) :args _let_16)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_64 _let_66 _let_61 _let_67 _let_68 _let_56 _let_57 _let_59 _let_60) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_68) (SYMM (SYMM _let_67)) (CONG _let_65 _let_62 :args _let_58)) (REFL :args (_let_10)) :args _let_58) (SYMM (SYMM _let_66)) (CONG _let_65 (SYMM _let_64) :args _let_58) (SYMM _let_63)) (TRANS (CONG _let_62 (TRANS (SYMM _let_60) (SYMM _let_59)) :args _let_58) (SYMM _let_57)) :args (=)) (FALSE_INTRO _let_56))) :args (_let_31 _let_32 _let_22 _let_27 _let_19 _let_18 _let_50 _let_29 _let_26 _let_24))) :args (_let_50 _let_32 _let_31 _let_29 _let_27 _let_26 _let_24 _let_22 _let_19 _let_18))) :args (true _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_29))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args (_let_34)) :args _let_53)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_52) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_54) :args _let_53)) _let_52 :args (_let_50 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_31 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_25 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_47)) _let_48 :args (_let_29 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_45)) _let_46 :args (_let_27 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_43)) _let_44 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_41)) _let_42 :args (_let_24 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.union B (tptp.union C D))))) :args _let_16)) _let_17 :args (_let_22 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args (_let_39))) _let_40 :args (_let_19 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_18 false _let_35)) :args (_let_34 true _let_33 false _let_32 false _let_31 false _let_29 false _let_27 false _let_26 false _let_24 false _let_22 false _let_19 false _let_18)) _let_17 :args (false true _let_15 false _let_8)) :args (_let_9 _let_8 _let_7 _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)))) (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 $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (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)) (tptp.subset B B)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET619+3
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------