%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:03:59 PM UTC 2026
% Result : Theorem 26.55s 4.20s
% Output : Proof 26.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 94 ( 37 ~; 33 |; 21 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f336,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onClass,Z,C)
& iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
fof(f336_nnf,plain,
! [Z,P,C] :
( ! [X] :
( ( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ( ? [Y] :
( icext(C,Y)
& iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(nnf_transformation,[status(thm)],[f336]) ).
fof(f336_sk,plain,
! [Z,P,C,X,Y] :
( ( ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| icext(Z,X) )
& ( ( icext(C,sk104(Z,P,C,X))
& iext(P,X,sk104(Z,P,C,X)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk104])],[f336_nnf]) ).
cnf(c787,plain,
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[status(esa)],[f336_sk]) ).
fof(f559,axiom,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f559_nnf,plain,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(nnf_transformation,[status(thm)],[f559]) ).
fof(f559_sk,plain,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(skolemisation,[status(esa)],[f559_nnf]) ).
cnf(c1407,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1097,plain,
( ~ icext(X1,X3)
| ~ iext(X0,X2,X3)
| icext(uri_ex_z,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X1)
| ~ iext(uri_owl_onProperty,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[c787,c1407]) ).
cnf(c1408,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1100,plain,
( ~ icext(X0,X2)
| ~ iext(uri_ex_p,X1,X2)
| icext(uri_ex_z,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[p1097,c1408]) ).
cnf(c1409,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1101,plain,
( ~ icext(uri_ex_c,X1)
| ~ iext(uri_ex_p,X0,X1)
| icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[p1100,c1409]) ).
cnf(c1411,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1102,plain,
( ~ icext(uri_ex_c,uri_ex_x)
| icext(uri_ex_z,uri_ex_w) ),
inference(resolution,[status(thm)],[p1101,c1411]) ).
fof(f24,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f24_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)],[f24]) ).
fof(f24_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)],[f24_nnf]) ).
cnf(c25,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(c1410,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p531,plain,
icext(uri_ex_c,uri_ex_x),
inference(resolution,[status(thm)],[c25,c1410]) ).
cnf(p1104,plain,
icext(uri_ex_z,uri_ex_w),
inference(resolution,[status(thm)],[p1102,p531]) ).
cnf(c26,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p1105,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(resolution,[status(thm)],[p1104,c26]) ).
fof(f558,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f558_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f558]) ).
fof(f558_nnf,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(nnf_transformation,[status(thm)],[f558_neg]) ).
fof(f558_sk,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(skolemisation,[status(esa)],[f558_nnf]) ).
cnf(c1406,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[status(esa)],[f558_sk]) ).
cnf(p1106,plain,
$false,
inference(resolution,[status(thm)],[p1105,c1406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB097+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 15:48:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.55/4.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.55/4.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------