TSTP Solution File: SET629+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 14:39:37 EDT 2023
% Result : Theorem 0.17s 0.49s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Aug 26 12:00:07 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mRXAxMAGOK/cvc5---1.0.5_23163.p...
% 0.17/0.49 ------- get file name : TPTP file name is SET629+3
% 0.17/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23163.smt2...
% 0.17/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.49 % SZS status Theorem for SET629+3
% 0.17/0.49 % SZS output start Proof for SET629+3
% 0.17/0.49 (
% 0.17/0.49 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (tptp.disjoint (tptp.intersection B C) (tptp.difference B C))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.disjoint B C) (not (tptp.intersect B C)))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (_let_5))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (not _let_12))) (let ((_let_17 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_16))) (let ((_let_21 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.intersect _let_17 _let_11))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (not (forall ((D $$unsorted)) (or (not (tptp.member D B)) (not (tptp.member D C))))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_24))) (let ((_let_29 (tptp.disjoint _let_17 _let_11))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (_let_3))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_29))) (let ((_let_34 (_let_2))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (or))) (let ((_let_37 (not _let_30))) (let ((_let_38 (_let_23))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_21))) (REFL :args (_let_22)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_28 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_30)) (CONG (REFL :args (_let_37)) (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) :args _let_36)) :args ((or _let_29 _let_24 _let_37))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_33)) :args _let_36)) _let_35 :args (_let_33 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_17 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.disjoint B C)))) :args _let_31)) _let_32 :args (_let_30 false _let_3)) :args (_let_24 true _let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_17 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersect B C)))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_23 false _let_24 false _let_25)) :args (_let_22 true _let_21)))) (let ((_let_40 (REFL :args (_let_20)))) (let ((_let_41 (and _let_9 _let_7))) (let ((_let_42 (= _let_18 _let_41))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_7 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_42)) :args ((or _let_19 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_36)) :args ((or _let_18 _let_20))) _let_39 :args (_let_18 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.intersection B C))))) :args _let_43)) _let_44 :args (_let_42 false _let_6)) :args (_let_41 false _let_18 false _let_42)) :args (_let_7 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or _let_16 _let_10 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) :args _let_36)) :args ((or _let_12 _let_20))) _let_39 :args (_let_12 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.member D (tptp.difference B C))))) :args _let_14)) _let_15 :args (_let_13 false _let_5)) :args (_let_10 false _let_12 false _let_13)) :args (false false _let_7 false _let_10)) :args (_let_6 _let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.intersect B C) (tptp.intersect C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.50 )
% 0.17/0.50 % SZS output end Proof for SET629+3
% 0.17/0.50 % cvc5---1.0.5 exiting
% 0.17/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------