%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB017+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 : 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 01:00:38 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 77 ( 5 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 89 ( 35 ~; 27 |; 24 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 41 ( 35 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
~ ( iext(X0,X2,X3)
& iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(f3,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(f4,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(f6,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(flattening,[],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( iext(X0,sK0(X0,X1),sK1(X0,X1))
& iext(X1,sK0(X0,X1),sK1(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f11]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5)
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f6]) ).
fof(f21,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[],[f14,f20]) ).
fof(f27,plain,
iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
inference(superposition,[],[f21,f25]) ).
fof(f30,plain,
! [X0] :
( ~ iext(X0,uri_ex_w,uri_ex_c)
| ~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,X0) ),
inference(resolution,[],[f15,f27]) ).
fof(f41,plain,
~ iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(resolution,[],[f30,f22]) ).
fof(f42,plain,
$false,
inference(resolution,[],[f41,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.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 07:00:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (606417)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (606428)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1104206579:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (606428) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-606417-606428"...
% 0.10/0.44 % (606428)...printing done.
% 0.10/0.44 % (606428)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (606428)------------------------------
% 0.10/0.44 % (606428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (606428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (606428)CaDiCaL version: 2.1.3
% 0.10/0.44 % (606428)Termination reason: Refutation
% 0.10/0.44 % (606428)Time elapsed: 0.001 s
% 0.10/0.44 % (606428)Peak memory usage: 11 MB
% 0.10/0.44 % (606428)Instructions burned: 2 (million)
% 0.10/0.44 % (606417)Success in time 0.027 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------