%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB008+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 : 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 01:00:32 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 96 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 107 ( 40 ~; 36 |; 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 : 56 ( 47 !; 9 ?)
% 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] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f4,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/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/sandbox/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] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
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] :
( ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6)
| X4 = X5
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
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(f31,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolution,[],[f16,f28]) ).
fof(f83,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| uri_ex_bob = X0
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolution,[],[f20,f27]) ).
fof(f84,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| uri_ex_bob = X0 ),
inference(forward_subsumption_resolution,[],[f83,f31]) ).
fof(f98,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[],[f84,f26]) ).
fof(f103,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(superposition,[],[f25,f98]) ).
fof(f104,plain,
$false,
inference(forward_subsumption_resolution,[],[f103,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n016.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 07:03:11 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.18/0.48 % (3446166)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (3446180)dis+10_1_sil=32000:sp=arity:random_seed=2411636567:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (3446180) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3446166-3446180"...
% 0.18/0.48 % (3446180)...printing done.
% 0.18/0.48 % (3446178)% WARNING: option uhcvi not known.
% 0.18/0.48 % (3446180)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (3446180)------------------------------
% 0.18/0.48 % (3446180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3446180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3446180)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3446180)Termination reason: Refutation
% 0.18/0.48 % (3446180)Time elapsed: 0.002 s
% 0.18/0.48 % (3446180)Peak memory usage: 11 MB
% 0.18/0.48 % (3446180)Instructions burned: 2 (million)
% 0.18/0.48 % (3446166)Success in time 0.029 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------