%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:00:25 PM UTC 2026
% Result : Theorem 3.66s 1.13s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 113 ( 49 ~; 43 |; 16 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 54 ( 49 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f337,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_w,uri_ex_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(flattening,[],[f560]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f337]) ).
fof(f580,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f579]) ).
fof(f600,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(f601,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f580]) ).
fof(f602,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f601]) ).
fof(f603,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK3(X1,X2,X3))
& icext(X2,sK3(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X5,sK3(X1,X2,X3))],[f602]) ).
fof(f623,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f562]) ).
fof(f624,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f625,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f626,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[],[f561]) ).
fof(f627,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f628,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f629,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f630,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f636,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f603]) ).
fof(f686,plain,
icext(uri_ex_c,uri_ex_x),
inference(resolution,[],[f624,f627]) ).
fof(f687,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(resolution,[],[f625,f623]) ).
fof(f940,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| ~ icext(X3,X2)
| icext(uri_ex_z,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X3) ),
inference(resolution,[],[f636,f630]) ).
fof(f942,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(uri_ex_z,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f940,f629]) ).
fof(f945,plain,
! [X0] :
( icext(uri_ex_z,uri_ex_w)
| ~ icext(X0,uri_ex_x)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f942,f626]) ).
fof(f948,plain,
! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z,X0)
| ~ icext(X0,uri_ex_x) ),
inference(forward_subsumption_resolution,[],[f945,f687]) ).
fof(f950,plain,
~ icext(uri_ex_c,uri_ex_x),
inference(resolution,[],[f948,f628]) ).
fof(f953,plain,
$false,
inference(forward_subsumption_resolution,[],[f950,f686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 07:20:04 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/1.13 % (3210391)Detected formulas, will run a generic FOF schedule.
% 3.66/1.13 % (3210398)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=1183876092:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.66/1.13 % (3210399)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1231115587:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.66/1.13 % (3210400)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2762428329:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.66/1.13 % (3210397)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=3122525121:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.66/1.13 % (3210402)dis-21_1_sil=8000:lcm=predicate:random_seed=1002664867: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)
% 3.66/1.13 % (3210396)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=922753714:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.66/1.13 % (3210401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=506764130:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.66/1.13 % (3210400)Refutation not found, incomplete strategy
% 3.66/1.13 % (3210400)------------------------------
% 3.66/1.13 % (3210400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210399)Refutation not found, incomplete strategy
% 3.66/1.13 % (3210399)------------------------------
% 3.66/1.13 % (3210399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210400)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210400)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.13 % (3210400)Time elapsed: 0.001 s
% 3.66/1.13 % (3210400)Peak memory usage: 87 MB
% 3.66/1.13 % (3210399)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210400)Instructions burned: 1 (million)
% 3.66/1.13 % (3210399)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.13 % (3210399)Time elapsed: 0.001 s
% 3.66/1.13 % (3210399)Peak memory usage: 87 MB
% 3.66/1.13 % (3210399)Instructions burned: 1 (million)
% 3.66/1.13 % (3210402)Instruction limit reached!
% 3.66/1.13 % (3210402)------------------------------
% 3.66/1.13 % (3210402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210402)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210402)Termination reason: Instruction limit
% 3.66/1.13 % (3210402)Termination phase: Saturation
% 3.66/1.13 % (3210402)Time elapsed: 0.037 s
% 3.66/1.13 % (3210402)Peak memory usage: 91 MB
% 3.66/1.13 % (3210402)Instructions burned: 130 (million)
% 3.66/1.13 % (3210401)Instruction limit reached!
% 3.66/1.13 % (3210401)------------------------------
% 3.66/1.13 % (3210401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210401)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210401)Termination reason: Instruction limit
% 3.66/1.13 % (3210401)Termination phase: Saturation
% 3.66/1.13 % (3210401)Time elapsed: 0.046 s
% 3.66/1.13 % (3210401)Peak memory usage: 90 MB
% 3.66/1.13 % (3210401)Instructions burned: 140 (million)
% 3.66/1.13 % (3210400)------------------------------
% 3.66/1.13 % (3210400)------------------------------
% 3.66/1.13 % (3210399)------------------------------
% 3.66/1.13 % (3210399)------------------------------
% 3.66/1.13 % (3210410)lrs+10_1_sil=8000:sp=occurrence:random_seed=559212739:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.66/1.13 % (3210410)First to succeed.
% 3.66/1.13 % (3210410)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3210391"
% 3.66/1.13 % (3210411)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1686795226:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.66/1.13 % (3210411)Refutation not found, incomplete strategy
% 3.66/1.13 % (3210411)------------------------------
% 3.66/1.13 % (3210411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210411)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210411)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.13 % (3210411)Time elapsed: 0.002 s
% 3.66/1.13 % (3210411)Peak memory usage: 88 MB
% 3.66/1.13 % (3210411)Instructions burned: 5 (million)
% 3.66/1.13 % (3210412)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3465823303:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.66/1.13 % (3210413)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1786911781:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.66/1.13 % (3210412)Refutation not found, incomplete strategy
% 3.66/1.13 % (3210412)------------------------------
% 3.66/1.13 % (3210412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210412)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210412)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.13 % (3210412)Time elapsed: 0.001 s
% 3.66/1.13 % (3210412)Peak memory usage: 88 MB
% 3.66/1.13 % (3210412)Instructions burned: 2 (million)
% 3.66/1.13 % (3210413)Also succeeded, but the first one will report.
% 3.66/1.13 % (3210410)Refutation found. Thanks to Tanya!
% 3.66/1.13 % SZS status Theorem for theBenchmark
% 3.66/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.13 % (3210410)------------------------------
% 3.66/1.13 % (3210410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.13 % (3210410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.13 % (3210410)CaDiCaL version: 2.1.3
% 3.66/1.13 % (3210410)Termination reason: Refutation
% 3.66/1.13 % (3210410)Time elapsed: 0.006 s
% 3.66/1.13 % (3210410)Peak memory usage: 89 MB
% 3.66/1.13 % (3210410)Instructions burned: 14 (million)
% 3.66/1.13 % (3210410)------------------------------
% 3.66/1.13 % (3210410)------------------------------
% 3.66/1.13 % (3210391)Success in time 0.495 s
% 3.66/1.13 % Vampire exiting
%------------------------------------------------------------------------------