%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 : Fri Sep 25 03:03:53 PM UTC 2026
% Result : Unsatisfiable 3.17s 0.95s
% Output : Proof 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 110 ( 40 ~; 40 |; 25 &)
% ( 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 : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 57 ( 2 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(f3_nnf,plain,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( iext(uri_owl_hasSelf,sk0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sk0,uri_rdf_type)
& iext(uri_rdf_type,sk0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sk0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f3_nnf]) ).
cnf(c12,plain,
iext(uri_owl_hasSelf,sk0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f1,axiom,
! [Z,P,V] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasSelf,Z,V) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
fof(f1_nnf,plain,
! [Z,P,V] :
( ! [X] :
( ( ~ iext(P,X,X)
| icext(Z,X) )
& ( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Z,V,P,X] :
( ( ( ~ iext(P,X,X)
| icext(Z,X) )
& ( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( iext(X1,X3,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p23,plain,
( iext(X0,X1,X1)
| ~ icext(sk0,X1)
| ~ iext(uri_owl_onProperty,sk0,X0) ),
inference(resolution,[status(thm)],[c12,c2]) ).
cnf(c11,plain,
iext(uri_owl_onProperty,sk0,uri_rdf_type),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p26,plain,
( iext(uri_rdf_type,X0,X0)
| ~ icext(sk0,X0) ),
inference(resolution,[status(thm)],[p23,c11]) ).
cnf(c9,plain,
iext(uri_owl_complementOf,uri_ex_c,sk0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f2,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f2_nnf,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Z,C,X] :
( ( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c7,plain,
( icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p21,plain,
( icext(sk0,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(p28,plain,
( icext(uri_ex_c,X0)
| iext(uri_rdf_type,X0,X0) ),
inference(resolution,[status(thm)],[p26,p21]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f0_nnf,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p29,plain,
( icext(X0,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[p28,c0]) ).
cnf(p30,plain,
icext(uri_ex_c,uri_ex_c),
inference(factoring,[status(thm)],[p29]) ).
cnf(c1,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p33,plain,
iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolution,[status(thm)],[p30,c1]) ).
cnf(c3,plain,
( ~ iext(X1,X3,X3)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p24,plain,
( ~ iext(X0,X1,X1)
| icext(sk0,X1)
| ~ iext(uri_owl_onProperty,sk0,X0) ),
inference(resolution,[status(thm)],[c12,c3]) ).
cnf(p27,plain,
( ~ iext(uri_rdf_type,X0,X0)
| icext(sk0,X0) ),
inference(resolution,[status(thm)],[p24,c11]) ).
cnf(p36,plain,
icext(sk0,uri_ex_c),
inference(resolution,[status(thm)],[p33,p27]) ).
cnf(c6,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p20,plain,
( ~ icext(sk0,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[c9,c6]) ).
cnf(p34,plain,
~ icext(sk0,uri_ex_c),
inference(resolution,[status(thm)],[p30,p20]) ).
cnf(p39,plain,
$false,
inference(resolution,[status(thm)],[p36,p34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.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 : Thu Sep 24 15:37:07 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.17/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.17/0.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------