TSTP Solution File: SET024-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n016.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 15:35:36 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(unit_resulting_resolution,[],[f150,f155,f186]) ).
fof(f186,plain,
! [X2,X1] :
( ~ little_set(X2)
| member(X2,non_ordered_pair(X2,X1)) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ little_set(X2)
| X0 != X2
| member(X2,non_ordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.m25bEooEM8/Vampire---4.8_27930',non_ordered_pair2) ).
fof(f155,plain,
~ member(a,non_ordered_pair(a,a)),
inference(definition_unfolding,[],[f151,f9]) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.m25bEooEM8/Vampire---4.8_27930',singleton_set) ).
fof(f151,axiom,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox2/tmp/tmp.m25bEooEM8/Vampire---4.8_27930',prove_membership_of_singleton_set) ).
fof(f150,axiom,
little_set(a),
file('/export/starexec/sandbox2/tmp/tmp.m25bEooEM8/Vampire---4.8_27930',a_little_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 14:18:27 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.m25bEooEM8/Vampire---4.8_27930
% 0.16/0.37 % (28038)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (28044)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43 % (28043)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.43 % (28047)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.43 % (28045)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (28041)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43 % (28039)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.43 % (28049)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.43 % (28049)Refutation not found, incomplete strategy% (28049)------------------------------
% 0.22/0.43 % (28049)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (28049)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (28049)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (28049)Memory used [KB]: 5628
% 0.22/0.43 % (28049)Time elapsed: 0.004 s
% 0.22/0.43 % (28049)------------------------------
% 0.22/0.43 % (28049)------------------------------
% 0.22/0.43 % (28041)First to succeed.
% 0.22/0.43 % (28044)Also succeeded, but the first one will report.
% 0.22/0.44 % (28041)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (28041)------------------------------
% 0.22/0.44 % (28041)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (28041)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (28041)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (28041)Memory used [KB]: 1279
% 0.22/0.44 % (28041)Time elapsed: 0.007 s
% 0.22/0.44 % (28041)------------------------------
% 0.22/0.44 % (28041)------------------------------
% 0.22/0.44 % (28038)Success in time 0.066 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------