%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB065+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 : n018.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 01:00:21 PM UTC 2026
% Result : Theorem 5.43s 1.97s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 125 ( 28 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 149 ( 56 ~; 56 |; 28 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 55 ( 50 !; 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(f295,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f354,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_rdf_first,X0,uri_ex_u)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_type,uri_ex_w,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).
fof(f562,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(flattening,[],[f560]) ).
fof(f581,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f295]) ).
fof(f582,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f581]) ).
fof(f596,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f597,plain,
( iext(uri_rdf_first,sK2,uri_ex_u)
& iext(uri_rdf_rest,sK2,uri_rdf_nil)
& iext(uri_owl_oneOf,sK3,sK2)
& iext(uri_rdf_type,uri_ex_w,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f561]) ).
fof(f599,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(f610,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f582]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f610]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f611]) ).
fof(f613,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK7(X0,X2) != X2
| ~ icext(X0,sK7(X0,X2)) )
& ( sK7(X0,X2) = X2
| icext(X0,sK7(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X2))],[f612]) ).
fof(f629,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f562]) ).
fof(f631,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f596]) ).
fof(f635,plain,
iext(uri_rdf_type,uri_ex_w,sK3),
inference(cnf_transformation,[],[f597]) ).
fof(f636,plain,
iext(uri_owl_oneOf,sK3,sK2),
inference(cnf_transformation,[],[f597]) ).
fof(f637,plain,
iext(uri_rdf_rest,sK2,uri_rdf_nil),
inference(cnf_transformation,[],[f597]) ).
fof(f638,plain,
iext(uri_rdf_first,sK2,uri_ex_u),
inference(cnf_transformation,[],[f597]) ).
fof(f649,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f599]) ).
fof(f673,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f613]) ).
fof(f714,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f631]) ).
fof(f747,plain,
icext(sK3,uri_ex_w),
inference(resolution,[],[f649,f635]) ).
fof(f866,plain,
! [X0,X1] :
( ~ icext(sK3,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK2,X1)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolution,[],[f673,f636]) ).
fof(f872,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK2,X1)
| X0 = X1
| ~ icext(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f866,f637]) ).
fof(f887,plain,
! [X0] :
( ~ icext(sK3,X0)
| uri_ex_u = X0 ),
inference(resolution,[],[f872,f638]) ).
fof(f890,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[],[f887,f747]) ).
fof(f899,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(superposition,[],[f629,f890]) ).
fof(f900,plain,
$false,
inference(forward_subsumption_resolution,[],[f899,f714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 07:17:25 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 5.43/1.97 % (3203675)Detected formulas, will run a generic FOF schedule.
% 5.43/1.97 % (3203694)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3533920318:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.43/1.97 % (3203694)Refutation not found, incomplete strategy
% 5.43/1.97 % (3203694)------------------------------
% 5.43/1.97 % (3203694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203694)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203694)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.97 % (3203694)Time elapsed: 0.002 s
% 5.43/1.97 % (3203694)Peak memory usage: 88 MB
% 5.43/1.97 % (3203694)Instructions burned: 2 (million)
% 5.43/1.97 % (3203697)dis-21_1_sil=8000:lcm=predicate:random_seed=2919440019: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)
% 5.43/1.97 % (3203696)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3224161219:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.43/1.97 % (3203691)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=2019841815:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.43/1.97 % (3203695)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=839202815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.43/1.97 % (3203693)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=1822689397:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.43/1.97 % (3203692)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=2396159113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.43/1.97 % (3203695)First to succeed.
% 5.43/1.97 % (3203695)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3203675"
% 5.43/1.97 % (3203697)Instruction limit reached!
% 5.43/1.97 % (3203697)------------------------------
% 5.43/1.97 % (3203697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203697)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203697)Termination reason: Instruction limit
% 5.43/1.97 % (3203697)Termination phase: Saturation
% 5.43/1.97 % (3203697)Time elapsed: 0.116 s
% 5.43/1.97 % (3203697)Peak memory usage: 91 MB
% 5.43/1.97 % (3203697)Instructions burned: 130 (million)
% 5.43/1.97 % (3203696)Instruction limit reached!
% 5.43/1.97 % (3203696)------------------------------
% 5.43/1.97 % (3203696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203696)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203696)Termination reason: Instruction limit
% 5.43/1.97 % (3203696)Termination phase: Saturation
% 5.43/1.97 % (3203696)Time elapsed: 0.146 s
% 5.43/1.97 % (3203696)Peak memory usage: 91 MB
% 5.43/1.97 % (3203696)Instructions burned: 139 (million)
% 5.43/1.97 % (3203694)------------------------------
% 5.43/1.97 % (3203694)------------------------------
% 5.43/1.97 % (3203705)lrs+10_1_sil=8000:sp=occurrence:random_seed=232494076:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.43/1.97 % (3203705)Also succeeded, but the first one will report.
% 5.43/1.97 % (3203708)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1166560435:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.43/1.97 % (3203708)Refutation not found, incomplete strategy
% 5.43/1.97 % (3203708)------------------------------
% 5.43/1.97 % (3203708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203708)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203708)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.97 % (3203708)Time elapsed: 0.002 s
% 5.43/1.97 % (3203708)Peak memory usage: 89 MB
% 5.43/1.97 % (3203708)Instructions burned: 2 (million)
% 5.43/1.97 % (3203706)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1530062815:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.43/1.97 % (3203706)Refutation not found, incomplete strategy
% 5.43/1.97 % (3203706)------------------------------
% 5.43/1.97 % (3203706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203706)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203706)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.97 % (3203706)Time elapsed: 0.007 s
% 5.43/1.97 % (3203706)Peak memory usage: 89 MB
% 5.43/1.97 % (3203706)Instructions burned: 5 (million)
% 5.43/1.97 % (3203695)Refutation found. Thanks to Tanya!
% 5.43/1.97 % SZS status Theorem for theBenchmark
% 5.43/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.97 % (3203695)------------------------------
% 5.43/1.97 % (3203695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.97 % (3203695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.97 % (3203695)CaDiCaL version: 2.1.3
% 5.43/1.97 % (3203695)Termination reason: Refutation
% 5.43/1.97 % (3203695)Time elapsed: 0.014 s
% 5.43/1.97 % (3203695)Peak memory usage: 89 MB
% 5.43/1.97 % (3203695)Instructions burned: 12 (million)
% 5.43/1.97 % (3203695)------------------------------
% 5.43/1.97 % (3203695)------------------------------
% 5.43/1.97 % (3203675)Success in time 0.66 s
% 5.43/1.97 % Vampire exiting
%------------------------------------------------------------------------------