%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB073+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 : n005.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 01:00:22 PM UTC 2026
% Result : Theorem 2.66s 1.37s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 100 ( 41 ~; 33 |; 21 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X0] :
( iodp(X0)
=> ip(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
fof(f92,axiom,
! [X0] :
( iodp(X0)
<=> iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
fof(f180,axiom,
! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).
fof(f181,axiom,
iodp(uri_owl_bottomDataProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_type) ).
fof(f344,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_bottomdataproperty_term) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_bottomdataproperty_term) ).
fof(f562,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
inference(flattening,[],[f560]) ).
fof(f563,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f344]) ).
fof(f575,plain,
! [X0] :
( ip(X0)
| ~ iodp(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f583,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f563]) ).
fof(f584,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f583]) ).
fof(f585,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f584]) ).
fof(f586,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
& iext(X0,sK0(X0,X1),sK1(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f585]) ).
fof(f600,plain,
! [X0] :
( ( iodp(X0)
| ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) )
& ( iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
| ~ iodp(X0) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f605,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,uri_ex_p),
inference(cnf_transformation,[],[f562]) ).
fof(f609,plain,
! [X0,X1] :
( iext(X0,sK0(X0,X1),sK1(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f618,plain,
iodp(uri_owl_bottomDataProperty),
inference(cnf_transformation,[],[f181]) ).
fof(f619,plain,
! [X0,X1] : ~ iext(uri_owl_bottomDataProperty,X0,X1),
inference(cnf_transformation,[],[f180]) ).
fof(f620,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f561]) ).
fof(f649,plain,
! [X0] :
( ip(X0)
| ~ iodp(X0) ),
inference(cnf_transformation,[],[f575]) ).
fof(f658,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
| iodp(X0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f710,plain,
iodp(uri_ex_p),
inference(resolution,[],[f658,f620]) ).
fof(f825,plain,
! [X0] :
( iext(uri_rdfs_subPropertyOf,uri_owl_bottomDataProperty,X0)
| ~ ip(X0)
| ~ ip(uri_owl_bottomDataProperty) ),
inference(resolution,[],[f609,f619]) ).
fof(f1078,plain,
( ~ ip(uri_ex_p)
| ~ ip(uri_owl_bottomDataProperty) ),
inference(resolution,[],[f825,f605]) ).
fof(f1126,plain,
( ~ ip(uri_owl_bottomDataProperty)
| ~ iodp(uri_ex_p) ),
inference(resolution,[],[f1078,f649]) ).
fof(f1127,plain,
~ ip(uri_owl_bottomDataProperty),
inference(forward_subsumption_resolution,[],[f1126,f710]) ).
fof(f1128,plain,
~ iodp(uri_owl_bottomDataProperty),
inference(resolution,[],[f1127,f649]) ).
fof(f1129,plain,
$false,
inference(forward_subsumption_resolution,[],[f1128,f618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB073+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:16:02 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.66/1.37 % (615450)Detected formulas, will run a generic FOF schedule.
% 2.66/1.37 % (615459)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1727184659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.37 % (615459)First to succeed.
% 2.66/1.37 % (615459)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-615450"
% 2.66/1.37 % (615457)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=3352111809:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.37 % (615455)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=3811862526:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.37 % (615458)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1914972050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.37 % (615456)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=3117875613:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.37 % (615458)Refutation not found, incomplete strategy
% 2.66/1.37 % (615458)------------------------------
% 2.66/1.37 % (615458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.37 % (615458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.37 % (615458)CaDiCaL version: 2.1.3
% 2.66/1.37 % (615458)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.37 % (615458)Time elapsed: 0.003 s
% 2.66/1.37 % (615458)Peak memory usage: 88 MB
% 2.66/1.37 % (615458)Instructions burned: 2 (million)
% 2.66/1.37 % (615460)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1858967468:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.37 % (615461)dis-21_1_sil=8000:lcm=predicate:random_seed=3786996002: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)
% 2.66/1.37 % (615461)Instruction limit reached!
% 2.66/1.37 % (615461)------------------------------
% 2.66/1.37 % (615461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.37 % (615461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.37 % (615461)CaDiCaL version: 2.1.3
% 2.66/1.37 % (615461)Termination reason: Instruction limit
% 2.66/1.37 % (615461)Termination phase: Saturation
% 2.66/1.37 % (615461)Time elapsed: 0.067 s
% 2.66/1.37 % (615461)Peak memory usage: 91 MB
% 2.66/1.37 % (615461)Instructions burned: 130 (million)
% 2.66/1.37 % (615460)Instruction limit reached!
% 2.66/1.37 % (615460)------------------------------
% 2.66/1.37 % (615460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.37 % (615460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.37 % (615460)CaDiCaL version: 2.1.3
% 2.66/1.37 % (615460)Termination reason: Instruction limit
% 2.66/1.37 % (615460)Termination phase: Saturation
% 2.66/1.37 % (615460)Time elapsed: 0.070 s
% 2.66/1.37 % (615460)Peak memory usage: 90 MB
% 2.66/1.37 % (615460)Instructions burned: 140 (million)
% 2.66/1.37 % (615459)Refutation found. Thanks to Tanya!
% 2.66/1.37 % SZS status Theorem for theBenchmark
% 2.66/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.37 % (615459)------------------------------
% 2.66/1.37 % (615459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.37 % (615459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.37 % (615459)CaDiCaL version: 2.1.3
% 2.66/1.37 % (615459)Termination reason: Refutation
% 2.66/1.37 % (615459)Time elapsed: 0.006 s
% 2.66/1.37 % (615459)Peak memory usage: 88 MB
% 2.66/1.37 % (615459)Instructions burned: 17 (million)
% 2.66/1.37 % (615459)------------------------------
% 2.66/1.37 % (615459)------------------------------
% 2.66/1.37 % (615450)Success in time 0.304 s
% 2.66/1.37 % Vampire exiting
%------------------------------------------------------------------------------