%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB053+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:19 PM UTC 2026
% Result : Theorem 5.16s 1.88s
% Output : Refutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 38 ~; 33 |; 22 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 33 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f119,axiom,
! [X0] :
( icext(uri_owl_Class,X0)
<=> ic(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).
fof(f145,axiom,
! [X0] : ~ icext(uri_owl_Nothing,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f146,axiom,
ic(uri_owl_Nothing),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_type) ).
fof(f343,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_nothing_term) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_class_nothing_term) ).
fof(f562,plain,
~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
inference(flattening,[],[f560]) ).
fof(f565,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f576,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f565]) ).
fof(f577,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f576]) ).
fof(f578,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f577]) ).
fof(f579,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK0(X0,X1))
& icext(X0,sK0(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f578]) ).
fof(f583,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f584,plain,
! [X0] :
( ( icext(uri_owl_Class,X0)
| ~ ic(X0) )
& ( ic(X0)
| ~ icext(uri_owl_Class,X0) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f586,plain,
~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
inference(cnf_transformation,[],[f562]) ).
fof(f590,plain,
! [X0,X1] :
( icext(X0,sK0(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f579]) ).
fof(f598,plain,
ic(uri_owl_Nothing),
inference(cnf_transformation,[],[f146]) ).
fof(f599,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[],[f145]) ).
fof(f600,plain,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
inference(cnf_transformation,[],[f561]) ).
fof(f608,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f583]) ).
fof(f611,plain,
! [X0] :
( ~ icext(uri_owl_Class,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f632,plain,
icext(uri_owl_Class,uri_ex_c),
inference(resolution,[],[f608,f600]) ).
fof(f634,plain,
ic(uri_ex_c),
inference(resolution,[],[f632,f611]) ).
fof(f644,plain,
! [X0] :
( ~ ic(uri_owl_Nothing)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_owl_Nothing,X0) ),
inference(resolution,[],[f590,f599]) ).
fof(f647,plain,
! [X0] :
( iext(uri_rdfs_subClassOf,uri_owl_Nothing,X0)
| ~ ic(X0) ),
inference(forward_subsumption_resolution,[],[f644,f598]) ).
fof(f663,plain,
~ ic(uri_ex_c),
inference(resolution,[],[f647,f586]) ).
fof(f670,plain,
$false,
inference(forward_subsumption_resolution,[],[f663,f634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB053+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 07:15:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.16/1.88 % (12960)Detected formulas, will run a generic FOF schedule.
% 5.16/1.88 % (13004)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4293716327:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.16/1.88 % (13009)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3665546532:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.16/1.88 % (13007)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=139847929:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.16/1.88 % (13005)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=365876296:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.16/1.88 % (13006)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1631712742:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.16/1.88 % (13007)Refutation not found, incomplete strategy
% 5.16/1.88 % (13007)------------------------------
% 5.16/1.88 % (13007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.88 % (13007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.88 % (13007)CaDiCaL version: 2.1.3
% 5.16/1.88 % (13007)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.88 % (13007)Time elapsed: 0.004 s
% 5.16/1.88 % (13007)Peak memory usage: 88 MB
% 5.16/1.88 % (13007)Instructions burned: 2 (million)
% 5.16/1.88 % (13010)dis-21_1_sil=8000:lcm=predicate:random_seed=1900804457:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.16/1.88 % (13008)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1867833127:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.16/1.88 % (13008)First to succeed.
% 5.16/1.88 % (13008)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12960"
% 5.16/1.88 % (13009)Also succeeded, but the first one will report.
% 5.16/1.88 % (13010)Instruction limit reached!
% 5.16/1.88 % (13010)------------------------------
% 5.16/1.88 % (13010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.88 % (13010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.88 % (13010)CaDiCaL version: 2.1.3
% 5.16/1.88 % (13010)Termination reason: Instruction limit
% 5.16/1.88 % (13010)Termination phase: Saturation
% 5.16/1.88 % (13010)Time elapsed: 0.120 s
% 5.16/1.88 % (13010)Peak memory usage: 91 MB
% 5.16/1.88 % (13010)Instructions burned: 129 (million)
% 5.16/1.88 % (13008)Refutation found. Thanks to Tanya!
% 5.16/1.88 % SZS status Theorem for theBenchmark
% 5.16/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 5.16/1.88 % (13008)------------------------------
% 5.16/1.88 % (13008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/1.88 % (13008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.88 % (13008)CaDiCaL version: 2.1.3
% 5.16/1.88 % (13008)Termination reason: Refutation
% 5.16/1.88 % (13008)Time elapsed: 0.006 s
% 5.16/1.88 % (13008)Peak memory usage: 88 MB
% 5.16/1.88 % (13008)Instructions burned: 4 (million)
% 5.16/1.88 % (13008)------------------------------
% 5.16/1.88 % (13008)------------------------------
% 5.16/1.88 % (12960)Success in time 0.64 s
% 5.16/1.88 % Vampire exiting
%------------------------------------------------------------------------------