TSTP Solution File: SET003-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 14:36:36 EDT 2023
% Result : Unsatisfiable 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:17:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0wLkqN1xWx/cvc5---1.0.5_1181.p...
% 0.21/0.49 ------- get file name : TPTP file name is SET003-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1181.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Unsatisfiable for SET003-1
% 0.21/0.52 % SZS output start Proof for SET003-1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (tptp.subset tptp.a tptp.aUa))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.union tptp.a tptp.a tptp.aUa))) (let ((_let_4 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set1)) (tptp.member Element Union))))) (let ((_let_5 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))))) (let ((_let_6 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))))) (let ((_let_7 (tptp.member_of_1_not_of_2 tptp.a tptp.aUa))) (let ((_let_8 (tptp.member _let_7 tptp.aUa))) (let ((_let_9 (tptp.member _let_7 tptp.a))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_3))) (let ((_let_12 (or _let_11 _let_10 _let_8))) (let ((_let_13 (_let_4))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (not _let_12))) (let ((_let_16 (or _let_1 _let_9))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (ASSUME :args (_let_2)))) (let ((_let_20 (not _let_8))) (let ((_let_21 (or _let_20 _let_1))) (let ((_let_22 (_let_5))) (let ((_let_23 (ASSUME :args _let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a tptp.aUa _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.union Set1 Set2 Union) false)) (not (= (tptp.member Element Set1) false))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_8 _let_10 _let_15))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_1 _let_20 (not _let_21)))) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.a tptp.aUa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_22)) _let_23 :args (_let_21 false _let_5)) :args (_let_20 true _let_1 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_1 _let_9 (not _let_16)))) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.a tptp.aUa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset Subset Superset) true))))) :args _let_17)) _let_18 :args (_let_16 false _let_6)) :args (_let_9 true _let_1 false _let_16)) :args (_let_15 false _let_3 true _let_8 false _let_9)) _let_14 :args (false true _let_12 false _let_4)) :args ((forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))) _let_6 _let_5 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))) (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))) (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Union)) (tptp.member Element Set1) (tptp.member Element Set2))) _let_4 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set2)) (tptp.member Element Union))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (tptp.union Set1 Set2 Union) (tptp.member _let_1 Set1) (tptp.member _let_1 Set2) (tptp.member _let_1 Union)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set1)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))) _let_3 _let_2))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SET003-1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------