TSTP Solution File: SET635+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET635+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 14:39:40 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET635+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 12:28:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DH3xEdhyTb/cvc5---1.0.5_3662.p...
% 0.21/0.58 ------- get file name : TPTP file name is SET635+3
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3662.smt2...
% 0.21/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Theorem for SET635+3
% 0.21/0.58 % SZS output start Proof for SET635+3
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection B (tptp.difference C D)) (tptp.difference (tptp.intersection B C) (tptp.intersection B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection B (tptp.difference C D)) (tptp.difference (tptp.intersection B C) D))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference B (tptp.intersection C D)) (tptp.union (tptp.difference B C) (tptp.difference B D)))))) (let ((_let_6 (forall ((B $$unsorted)) (= (tptp.union B tptp.empty_set) B)))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted)) (= (= (tptp.difference B C) tptp.empty_set) (tptp.subset B C))))) (let ((_let_8 (forall ((B $$unsorted) (C $$unsorted)) (tptp.subset (tptp.intersection B C) B)))) (let ((_let_9 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_12 (= _let_11 (tptp.difference _let_10 _let_9)))) (let ((_let_13 (tptp.difference _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (= _let_11 _let_13))) (let ((_let_15 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (= _let_9 _let_15))) (let ((_let_17 (tptp.difference _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (= (tptp.difference _let_10 _let_15) (tptp.union _let_13 _let_17)))) (let ((_let_19 (= tptp.empty_set _let_17))) (let ((_let_20 (= _let_13 (tptp.union _let_13 tptp.empty_set)))) (let ((_let_21 (not _let_12))) (let ((_let_22 (_let_2))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (or))) (let ((_let_25 (_let_21))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.subset _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (= _let_32 _let_19))) (let ((_let_34 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (= tptp.empty_set (tptp.difference B C)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_8))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (forall ((B $$unsorted)) (= B (tptp.union B tptp.empty_set))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (not _let_20))) (let ((_let_41 (_let_40))) (let ((_let_42 (ASSUME :args (_let_20)))) (let ((_let_43 (ASSUME :args _let_25))) (let ((_let_44 (ASSUME :args (_let_16)))) (let ((_let_45 (ASSUME :args (_let_18)))) (let ((_let_46 (ASSUME :args (_let_19)))) (let ((_let_47 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_47 _let_43 _let_44 _let_45 _let_46) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_47) (TRANS (CONG (REFL :args (_let_13)) (SYMM (SYMM _let_46)) :args (APPLY_UF tptp.union)) (SYMM _let_45) (CONG (REFL :args (_let_10)) (SYMM _let_44) :args (APPLY_UF tptp.difference))) :args (=)) (FALSE_INTRO _let_43))) :args (_let_14 _let_21 _let_16 _let_18 _let_19))) _let_42) :args (_let_21 _let_14 _let_16 _let_19 _let_18 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_41))) (TRUE_INTRO _let_42))) :args (_let_40 _let_20)) :args ((not (and _let_21 _let_14 _let_16 _let_19 _let_18 _let_20)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args _let_41) :args _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union B tptp.empty_set)))) :args (_let_38))) _let_39 :args (_let_20 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or (not _let_32) _let_19 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_36)) _let_37 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset B C)))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_19 false _let_32 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.difference B (tptp.intersection C D))))) :args _let_30)) _let_31 :args (_let_18 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_28)) _let_29 :args (_let_16 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.intersection B (tptp.difference C D))))) :args _let_26)) _let_27 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_23) :args _let_22)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_25) :args _let_24)) _let_23 :args (_let_21 true _let_1)) :args (false false _let_20 false _let_19 false _let_18 false _let_16 false _let_14 true _let_12)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 (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) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))) (forall ((B $$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)) (not (tptp.member B tptp.empty_set))) _let_3 (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)) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59 )
% 0.21/0.59 % SZS output end Proof for SET635+3
% 0.21/0.59 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------