TSTP Solution File: SET064+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n017.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 15:36:10 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 42 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 6 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 23 (; 14 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(subsumption_resolution,[],[f269,f136]) ).
fof(f136,plain,
null_class != sK0,
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X1] : ~ member(X1,sK0)
& null_class != sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f72,f86]) ).
fof(f86,plain,
( ? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 )
=> ( ! [X1] : ~ member(X1,sK0)
& null_class != sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( ? [X1] : member(X1,X0)
| null_class = X0 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
file('/export/starexec/sandbox2/tmp/tmp.QVQDRjAbiM/Vampire---4.8_27003',null_class_is_unique) ).
fof(f269,plain,
null_class = sK0,
inference(resolution,[],[f149,f137]) ).
fof(f137,plain,
! [X1] : ~ member(X1,sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f149,plain,
! [X0] :
( member(sK1(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( disjoint(sK1(X0),X0)
& member(sK1(X0),X0)
& member(sK1(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f73,f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK1(X0),X0)
& member(sK1(X0),X0)
& member(sK1(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QVQDRjAbiM/Vampire---4.8_27003',regularity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n017.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 11:57:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.QVQDRjAbiM/Vampire---4.8_27003
% 0.21/0.36 % (27114)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (27120)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.42 % (27119)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.42 % (27116)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.42 % (27118)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.42 % (27117)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.42 % (27115)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.42 % (27121)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43 % (27120)First to succeed.
% 0.21/0.43 % (27119)Also succeeded, but the first one will report.
% 0.21/0.43 % (27120)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (27120)------------------------------
% 0.21/0.43 % (27120)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (27120)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (27120)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (27120)Memory used [KB]: 5500
% 0.21/0.43 % (27120)Time elapsed: 0.006 s
% 0.21/0.43 % (27120)------------------------------
% 0.21/0.43 % (27120)------------------------------
% 0.21/0.43 % (27114)Success in time 0.065 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------