%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB009+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 : n016.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 3.43s 1.38s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 136 ( 59 ~; 49 |; 23 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 61 ( 53 !; 8 ?)
% 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(f340,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/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f559,conjecture,
? [X0] :
( iext(uri_ex_p,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(f560,negated_conjecture,
~ ? [X0] :
( iext(uri_ex_p,uri_ex_s,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
fof(f564,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(ennf_transformation,[],[f560]) ).
fof(f569,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,[],[f340]) ).
fof(f570,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,[],[f569]) ).
fof(f573,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(f574,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,sK0)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK0,uri_ex_p)
& iext(uri_owl_someValuesFrom,sK0,uri_ex_c) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f561]) ).
fof(f575,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,[],[f570]) ).
fof(f576,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,[],[f575]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK1(X1,X2,X3))
& icext(X2,sK1(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,[sK1]),skolemize(X5,sK1(X1,X2,X3))],[f576]) ).
fof(f578,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[],[f564]) ).
fof(f579,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f573]) ).
fof(f580,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f573]) ).
fof(f581,plain,
iext(uri_owl_someValuesFrom,sK0,uri_ex_c),
inference(cnf_transformation,[],[f574]) ).
fof(f582,plain,
iext(uri_owl_onProperty,sK0,uri_ex_p),
inference(cnf_transformation,[],[f574]) ).
fof(f584,plain,
iext(uri_rdf_type,uri_ex_s,sK0),
inference(cnf_transformation,[],[f574]) ).
fof(f596,plain,
! [X2,X3,X0,X1] :
( icext(X2,sK1(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f577]) ).
fof(f597,plain,
! [X2,X3,X0,X1] :
( iext(X1,X3,sK1(X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f577]) ).
fof(f612,plain,
icext(sK0,uri_ex_s),
inference(resolution,[],[f579,f584]) ).
fof(f627,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,sK1(uri_ex_p,X1,uri_ex_s),uri_ex_c)
| ~ iext(uri_owl_someValuesFrom,X0,X1)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s) ),
inference(resolution,[],[f597,f578]) ).
fof(f628,plain,
! [X0,X1] :
( ~ icext(uri_ex_c,sK1(uri_ex_p,X1,uri_ex_s))
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(resolution,[],[f627,f580]) ).
fof(f629,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ icext(X1,uri_ex_s)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p) ),
inference(resolution,[],[f628,f596]) ).
fof(f634,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ icext(X0,uri_ex_s)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p) ),
inference(factoring,[],[f629]) ).
fof(f635,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f638,plain,
( ~ icext(sK0,uri_ex_s)
| ~ iext(uri_owl_onProperty,sK0,uri_ex_p) ),
inference(resolution,[],[f635,f581]) ).
fof(f639,plain,
~ iext(uri_owl_onProperty,sK0,uri_ex_p),
inference(forward_subsumption_resolution,[],[f638,f612]) ).
fof(f640,plain,
$false,
inference(forward_subsumption_resolution,[],[f639,f582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:01:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.43/1.38 % (3445129)Detected formulas, will run a generic FOF schedule.
% 3.43/1.38 % (3445184)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=966995516:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.43/1.38 % (3445184)Refutation not found, incomplete strategy
% 3.43/1.38 % (3445184)------------------------------
% 3.43/1.38 % (3445184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445184)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445184)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.38 % (3445184)Time elapsed: 0.001 s
% 3.43/1.38 % (3445184)Peak memory usage: 88 MB
% 3.43/1.38 % (3445184)Instructions burned: 2 (million)
% 3.43/1.38 % (3445181)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=1447319896:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.43/1.38 % (3445182)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=3657819918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.43/1.38 % (3445183)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=1196814823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.43/1.38 % (3445185)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2397163996:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.43/1.38 % (3445187)dis-21_1_sil=8000:lcm=predicate:random_seed=3694609539: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)
% 3.43/1.38 % (3445186)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2209780181:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.43/1.38 % (3445185)First to succeed.
% 3.43/1.38 % (3445185)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3445129"
% 3.43/1.38 % (3445187)Instruction limit reached!
% 3.43/1.38 % (3445187)------------------------------
% 3.43/1.38 % (3445187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445187)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445187)Termination reason: Instruction limit
% 3.43/1.38 % (3445187)Termination phase: Saturation
% 3.43/1.38 % (3445187)Time elapsed: 0.068 s
% 3.43/1.38 % (3445187)Peak memory usage: 91 MB
% 3.43/1.38 % (3445187)Instructions burned: 129 (million)
% 3.43/1.38 % (3445186)Instruction limit reached!
% 3.43/1.38 % (3445186)------------------------------
% 3.43/1.38 % (3445186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445186)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445186)Termination reason: Instruction limit
% 3.43/1.38 % (3445186)Termination phase: Saturation
% 3.43/1.38 % (3445186)Time elapsed: 0.084 s
% 3.43/1.38 % (3445186)Peak memory usage: 91 MB
% 3.43/1.38 % (3445186)Instructions burned: 140 (million)
% 3.43/1.38 % (3445184)------------------------------
% 3.43/1.38 % (3445184)------------------------------
% 3.43/1.38 % (3445197)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2222418169:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.43/1.38 % (3445197)Refutation not found, incomplete strategy
% 3.43/1.38 % (3445197)------------------------------
% 3.43/1.38 % (3445197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445197)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445197)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.38 % (3445197)Time elapsed: 0.001 s
% 3.43/1.38 % (3445197)Peak memory usage: 88 MB
% 3.43/1.38 % (3445197)Instructions burned: 2 (million)
% 3.43/1.38 % (3445195)lrs+10_1_sil=8000:sp=occurrence:random_seed=681504907:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.43/1.38 % (3445195)Also succeeded, but the first one will report.
% 3.43/1.38 % (3445196)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1924837455:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.43/1.38 % (3445196)Refutation not found, incomplete strategy
% 3.43/1.38 % (3445196)------------------------------
% 3.43/1.38 % (3445196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445196)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445196)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.38 % (3445196)Time elapsed: 0.004 s
% 3.43/1.38 % (3445196)Peak memory usage: 88 MB
% 3.43/1.38 % (3445196)Instructions burned: 5 (million)
% 3.43/1.38 % (3445185)Refutation found. Thanks to Tanya!
% 3.43/1.38 % SZS status Theorem for theBenchmark
% 3.43/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.38 % (3445185)------------------------------
% 3.43/1.38 % (3445185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.38 % (3445185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.38 % (3445185)CaDiCaL version: 2.1.3
% 3.43/1.38 % (3445185)Termination reason: Refutation
% 3.43/1.38 % (3445185)Time elapsed: 0.004 s
% 3.43/1.38 % (3445185)Peak memory usage: 88 MB
% 3.43/1.38 % (3445185)Instructions burned: 4 (million)
% 3.43/1.38 % (3445185)------------------------------
% 3.43/1.38 % (3445185)------------------------------
% 3.43/1.38 % (3445129)Success in time 0.44 s
% 3.43/1.38 % Vampire exiting
%------------------------------------------------------------------------------