%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB009+2 : 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 : n003.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 01:00:01 PM UTC 2026
% Result : Theorem 3.56s 1.48s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 8 unt; 2 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 135 ( 55 ~; 50 |; 23 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 49 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_someValuesFrom,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f3,conjecture,
? [X0] :
( iext(uri_ex_p,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( iext(uri_ex_p,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_owl_someValuesFrom,X0,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(f6,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(ennf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f10,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_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f7]) ).
fof(f11,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_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK0(X1,X2,X3))
& icext(X2,sK0(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X1,X2,X3))],[f11]) ).
fof(f13,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,sK1)
& iext(uri_rdf_type,sK1,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK1,uri_ex_p)
& iext(uri_owl_someValuesFrom,sK1,uri_ex_c) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( icext(X2,sK0(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| iext(X1,X3,sK0(X1,X2,X3)) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
iext(uri_owl_onProperty,sK1,uri_ex_p),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
iext(uri_rdf_type,uri_ex_s,sK1),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,sK1,X1)
| ~ icext(sK1,X0)
| iext(uri_ex_p,X0,sK0(uri_ex_p,X1,X0)) ),
inference(resolution,[],[f17,f21]) ).
fof(f27,plain,
! [X0] :
( iext(uri_ex_p,X0,sK0(uri_ex_p,uri_ex_c,X0))
| ~ icext(sK1,X0) ),
inference(resolution,[],[f26,f20]) ).
fof(f28,plain,
( ~ icext(sK1,uri_ex_s)
| ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
inference(resolution,[],[f27,f19]) ).
fof(f30,definition,
( spl2_1
<=> iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f32,plain,
( ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
| spl2_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl2_2
<=> icext(sK1,uri_ex_s) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f36,plain,
( ~ icext(sK1,uri_ex_s)
| spl2_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f28,f34,f30]) ).
fof(f38,plain,
( ~ icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_s))
| spl2_1 ),
inference(resolution,[],[f32,f15]) ).
fof(f39,plain,
( ! [X0] :
( ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ icext(X0,uri_ex_s) )
| spl2_1 ),
inference(resolution,[],[f38,f16]) ).
fof(f42,plain,
( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ icext(sK1,uri_ex_s)
| spl2_1 ),
inference(resolution,[],[f39,f21]) ).
fof(f43,plain,
( ~ icext(sK1,uri_ex_s)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f42,f20]) ).
fof(f44,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f43,f30,f34]) ).
fof(f46,plain,
( ~ iext(uri_rdf_type,uri_ex_s,sK1)
| spl2_2 ),
inference(resolution,[],[f36,f14]) ).
fof(f47,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f46,f23]) ).
fof(f48,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f47]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
spl2_2,
inference(sat_conversion,[],[f48]) ).
cnf(s4,plain,
spl2_1,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f49,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB009+2 : 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 : n003.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 06:58:12 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
% 3.56/1.48 % (1392906)Detected formulas, will run a generic FOF schedule.
% 3.56/1.48 % (1392912)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=765949417:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.48 % (1392911)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=1027614848:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.48 % (1392916)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1475270606:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.48 % (1392915)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2694991189:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.48 % (1392913)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=1144262447:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.48 % (1392917)dis-21_1_sil=8000:lcm=predicate:random_seed=1626807062: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)
% 3.56/1.48 % (1392914)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4052100745:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.48 % (1392915)Refutation not found, incomplete strategy
% 3.56/1.48 % (1392915)------------------------------
% 3.56/1.48 % (1392915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (1392915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (1392914)Refutation not found, incomplete strategy
% 3.56/1.48 % (1392914)------------------------------
% 3.56/1.48 % (1392914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (1392915)CaDiCaL version: 2.1.3
% 3.56/1.48 % (1392915)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.48 % (1392915)Time elapsed: 0.0000 s
% 3.56/1.48 % (1392914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (1392915)Peak memory usage: 86 MB
% 3.56/1.48 % (1392914)CaDiCaL version: 2.1.3
% 3.56/1.48 % (1392914)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.48 % (1392914)Time elapsed: 0.0000 s
% 3.56/1.48 % (1392914)Peak memory usage: 86 MB
% 3.56/1.48 % (1392916)First to succeed.
% 3.56/1.48 % (1392916)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1392906"
% 3.56/1.48 % (1392917)Also succeeded, but the first one will report.
% 3.56/1.48 % (1392914)------------------------------
% 3.56/1.48 % (1392914)------------------------------
% 3.56/1.48 % (1392915)------------------------------
% 3.56/1.48 % (1392915)------------------------------
% 3.56/1.48 % (1392916)Refutation found. Thanks to Tanya!
% 3.56/1.48 % SZS status Theorem for theBenchmark
% 3.56/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.48 % (1392916)------------------------------
% 3.56/1.48 % (1392916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (1392916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (1392916)CaDiCaL version: 2.1.3
% 3.56/1.48 % (1392916)Termination reason: Refutation
% 3.56/1.48 % (1392916)Time elapsed: 0.003 s
% 3.56/1.48 % (1392916)Peak memory usage: 89 MB
% 3.56/1.48 % (1392916)Instructions burned: 2 (million)
% 3.56/1.48 % (1392916)------------------------------
% 3.56/1.48 % (1392916)------------------------------
% 3.56/1.48 % (1392906)Success in time 0.425 s
% 3.56/1.48 % Vampire exiting
%------------------------------------------------------------------------------