%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n008.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 01:00:33 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 121 ( 51 ~; 42 |; 23 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 60 ( 52 !; 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] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
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] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| icext(X2,sK0(X1,X2,X3)) ),
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(f39,plain,
icext(sK1,uri_ex_s),
inference(resolution,[],[f14,f23]) ).
fof(f82,plain,
! [X0,X1] :
( icext(X1,sK0(uri_ex_p,X1,X0))
| ~ iext(uri_owl_someValuesFrom,sK1,X1)
| ~ icext(sK1,X0) ),
inference(resolution,[],[f16,f21]) ).
fof(f109,plain,
! [X0,X1] :
( iext(uri_ex_p,X0,sK0(uri_ex_p,X1,X0))
| ~ iext(uri_owl_someValuesFrom,sK1,X1)
| ~ icext(sK1,X0) ),
inference(resolution,[],[f17,f21]) ).
fof(f126,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,sK1,X0)
| ~ icext(sK1,uri_ex_s)
| ~ iext(uri_rdf_type,sK0(uri_ex_p,X0,uri_ex_s),uri_ex_c) ),
inference(resolution,[],[f109,f19]) ).
fof(f127,plain,
! [X0] :
( ~ iext(uri_rdf_type,sK0(uri_ex_p,X0,uri_ex_s),uri_ex_c)
| ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f126,f39]) ).
fof(f131,plain,
! [X0] :
( ~ icext(uri_ex_c,sK0(uri_ex_p,X0,uri_ex_s))
| ~ iext(uri_owl_someValuesFrom,sK1,X0) ),
inference(resolution,[],[f127,f15]) ).
fof(f145,plain,
( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ icext(sK1,uri_ex_s) ),
inference(resolution,[],[f131,f82]) ).
fof(f146,plain,
( ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
| ~ icext(sK1,uri_ex_s) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f147,plain,
~ icext(sK1,uri_ex_s),
inference(forward_subsumption_resolution,[],[f146,f20]) ).
fof(f150,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f39]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 06:57:55 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.44 % (2061045)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (2061050)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2819994741_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.44 % TRYING [1]
% 0.14/0.44 % TRYING [2]
% 0.14/0.44 % TRYING [3]
% 0.14/0.44 % (2061051)% WARNING: option uhcvi not known.
% 0.14/0.44 % (2061054)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3555509007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.44 % (2061052)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1390604573:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.44 % (2061053)dis+10_1_sil=32000:sp=arity:random_seed=2713526263:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.44 % (2061055)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1369706274:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.44 % (2061056)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=991148682:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.44 % (2061053) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061045-2061053"...
% 0.14/0.44 % (2061055) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061045-2061055"...
% 0.14/0.44 % TRYING [4]
% 0.14/0.44 % (2061052) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061045-2061052"...
% 0.14/0.44 % (2061053)...printing done.
% 0.14/0.44 % (2061056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061045-2061056"...
% 0.14/0.44 % (2061055)...printing done.
% 0.14/0.44 % (2061051)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1273677788:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.44 % (2061052)...printing done.
% 0.14/0.44 % (2061056)...printing done.
% 0.14/0.44 % (2061051) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061045-2061051"...
% 0.14/0.44 % (2061052)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Theorem for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (2061052)------------------------------
% 0.14/0.44 % (2061052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (2061052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (2061052)CaDiCaL version: 2.1.3
% 0.14/0.44 % (2061052)Termination reason: Refutation
% 0.14/0.44 % (2061052)Time elapsed: 0.003 s
% 0.14/0.44 % (2061052)Peak memory usage: 11 MB
% 0.14/0.44 % (2061052)Instructions burned: 3 (million)
% 0.14/0.44 % (2061045)Success in time 0.042 s
% 0.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------