%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB008+2 : 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 01:00:00 PM UTC 2026
% Result : Theorem 3.50s 1.46s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 99 ( 20 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 113 ( 43 ~; 39 |; 25 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 62 ( 53 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f3,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X2,X3) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f4,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f5,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,axiom,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f7,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(flattening,[],[f5]) ).
fof(f8,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,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(f11,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK0(X0) != sK1(X0)
& iext(X0,sK0(X0),sK2(X0))
& iext(X0,sK1(X0),sK2(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6)
| X4 = X5 ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f19]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
| ~ iext(X0,X3,X2)
| X1 = X3
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f20,f16]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,X1)
| X0 = X2
| ~ iext(uri_foaf_mbox_sha1sum,X2,X1) ),
inference(resolution,[],[f34,f28]) ).
fof(f68,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| uri_ex_robert = X0 ),
inference(resolution,[],[f35,f26]) ).
fof(f73,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[],[f68,f27]) ).
fof(f75,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(superposition,[],[f25,f73]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:01:59 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.50/1.45 % (3445648)Detected formulas, will run a generic FOF schedule.
% 3.50/1.45 % (3445653)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=1428373639:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.45 % (3445656)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1262980940:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.45 % (3445659)dis-21_1_sil=8000:lcm=predicate:random_seed=2607486543: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)
% 3.50/1.45 % (3445655)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=1044424578:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.45 % (3445654)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=2375051658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.45 % (3445656)Refutation not found, incomplete strategy
% 3.50/1.45 % (3445656)------------------------------
% 3.50/1.45 % (3445656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.45 % (3445656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.45 % (3445656)CaDiCaL version: 2.1.3
% 3.50/1.45 % (3445656)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.45 % (3445656)Time elapsed: 0.001 s
% 3.50/1.45 % (3445656)Peak memory usage: 87 MB
% 3.50/1.45 % (3445659)Refutation not found, incomplete strategy
% 3.50/1.45 % (3445659)------------------------------
% 3.50/1.45 % (3445659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.45 % (3445659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.45 % (3445659)CaDiCaL version: 2.1.3
% 3.50/1.45 % (3445659)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.45 % (3445659)Time elapsed: 0.001 s
% 3.50/1.45 % (3445659)Peak memory usage: 88 MB
% 3.50/1.45 % (3445659)Instructions burned: 1 (million)
% 3.50/1.46 % (3445657)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1488960441:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.46 % (3445657)Refutation not found, incomplete strategy
% 3.50/1.46 % (3445657)------------------------------
% 3.50/1.46 % (3445657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (3445657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (3445657)CaDiCaL version: 2.1.3
% 3.50/1.46 % (3445657)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.46 % (3445657)Time elapsed: 0.001 s
% 3.50/1.46 % (3445657)Peak memory usage: 87 MB
% 3.50/1.46 % (3445658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3129162796:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.46 % (3445658)First to succeed.
% 3.50/1.46 % (3445658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3445648"
% 3.50/1.46 % (3445659)------------------------------
% 3.50/1.46 % (3445659)------------------------------
% 3.50/1.46 % (3445656)------------------------------
% 3.50/1.46 % (3445656)------------------------------
% 3.50/1.46 % (3445657)------------------------------
% 3.50/1.46 % (3445657)------------------------------
% 3.50/1.46 % (3445658)Refutation found. Thanks to Tanya!
% 3.50/1.46 % SZS status Theorem for theBenchmark
% 3.50/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.46 % (3445658)------------------------------
% 3.50/1.46 % (3445658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (3445658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (3445658)CaDiCaL version: 2.1.3
% 3.50/1.46 % (3445658)Termination reason: Refutation
% 3.50/1.46 % (3445658)Time elapsed: 0.004 s
% 3.50/1.46 % (3445658)Peak memory usage: 89 MB
% 3.50/1.46 % (3445658)Instructions burned: 3 (million)
% 3.50/1.46 % (3445658)------------------------------
% 3.50/1.46 % (3445658)------------------------------
% 3.50/1.46 % (3445648)Success in time 0.41 s
% 3.50/1.46 % Vampire exiting
%------------------------------------------------------------------------------