%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB084+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 03:03:58 PM UTC 2026
% Result : Theorem 19.29s 3.23s
% Output : Proof 19.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 124 ( 20 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 158 ( 55 ~; 50 |; 49 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 48 ( 0 sgn 29 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onClass,Z,C)
& iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) )
=> ! [X] :
( icext(Z,X)
<=> ( ! [Y1,Y2,Y3] :
( ( icext(C,Y3)
& iext(P,X,Y3)
& icext(C,Y2)
& iext(P,X,Y2)
& icext(C,Y1)
& iext(P,X,Y1) )
=> ( Y3 = Y2
| Y3 = Y1 ) )
& ? [Y1,Y2] :
( Y1 != Y2
& icext(C,Y2)
& iext(P,X,Y2)
& icext(C,Y1)
& iext(P,X,Y1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_002) ).
fof(f311_nnf,plain,
! [Z,P,C] :
( ! [X] :
( ( ? [Y1,Y2,Y3] :
( Y3 != Y2
& Y3 != Y1
& icext(C,Y3)
& iext(P,X,Y3)
& icext(C,Y2)
& iext(P,X,Y2)
& icext(C,Y1)
& iext(P,X,Y1) )
| ! [Y1,Y2] :
( Y1 = Y2
| ~ icext(C,Y2)
| ~ iext(P,X,Y2)
| ~ icext(C,Y1)
| ~ iext(P,X,Y1) )
| icext(Z,X) )
& ( ( ! [Y1,Y2,Y3] :
( Y3 = Y2
| Y3 = Y1
| ~ icext(C,Y3)
| ~ iext(P,X,Y3)
| ~ icext(C,Y2)
| ~ iext(P,X,Y2)
| ~ icext(C,Y1)
| ~ iext(P,X,Y1) )
& ? [Y1,Y2] :
( Y1 != Y2
& icext(C,Y2)
& iext(P,X,Y2)
& icext(C,Y1)
& iext(P,X,Y1) ) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
inference(nnf_transformation,[status(thm)],[f311]) ).
fof(f311_sk,plain,
! [Z,P,C,X,Y1,Y2,Y3] :
( ( ( ( sk54(Z,P,C,X) != sk53(Z,P,C,X)
& sk54(Z,P,C,X) != sk52(Z,P,C,X)
& icext(C,sk54(Z,P,C,X))
& iext(P,X,sk54(Z,P,C,X))
& icext(C,sk53(Z,P,C,X))
& iext(P,X,sk53(Z,P,C,X))
& icext(C,sk52(Z,P,C,X))
& iext(P,X,sk52(Z,P,C,X)) )
| Y1 = Y2
| ~ icext(C,Y2)
| ~ iext(P,X,Y2)
| ~ icext(C,Y1)
| ~ iext(P,X,Y1)
| icext(Z,X) )
& ( ( ( Y3 = Y2
| Y3 = Y1
| ~ icext(C,Y3)
| ~ iext(P,X,Y3)
| ~ icext(C,Y2)
| ~ iext(P,X,Y2)
| ~ icext(C,Y1)
| ~ iext(P,X,Y1) )
& sk50(Z,P,C,X) != sk51(Z,P,C,X)
& icext(C,sk51(Z,P,C,X))
& iext(P,X,sk51(Z,P,C,X))
& icext(C,sk50(Z,P,C,X))
& iext(P,X,sk50(Z,P,C,X)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onClass,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_qualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk50,sk51,sk52,sk53,sk54])],[f311_nnf]) ).
cnf(c611,plain,
( sk50(X0,X1,X2,X3) != sk51(X0,X1,X2,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[status(esa)],[f311_sk]) ).
fof(f559,axiom,
( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_exactqcr_inst_obj_two) ).
fof(f559_nnf,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
inference(nnf_transformation,[status(thm)],[f559]) ).
fof(f559_sk,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
inference(skolemisation,[status(esa)],[f559_nnf]) ).
cnf(c1407,plain,
iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1178,plain,
( sk50(uri_ex_z,X0,X1,X2) != sk51(uri_ex_z,X0,X1,X2)
| ~ 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)],[c611,c1407]) ).
cnf(c1408,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1179,plain,
( sk50(uri_ex_z,uri_ex_p,X0,X1) != sk51(uri_ex_z,uri_ex_p,X0,X1)
| ~ icext(uri_ex_z,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[p1178,c1408]) ).
cnf(c1409,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1180,plain,
( sk50(uri_ex_z,uri_ex_p,uri_ex_c,X0) != sk51(uri_ex_z,uri_ex_p,uri_ex_c,X0)
| ~ icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[p1179,c1409]) ).
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_w,uri_ex_z),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p533,plain,
icext(uri_ex_z,uri_ex_w),
inference(resolution,[status(thm)],[c25,c1410]) ).
cnf(p1181,plain,
sk50(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w) != sk50(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),
inference(resolution,[status(thm)],[p1180,p533]) ).
cnf(p1182,plain,
$false,
inference(equality_resolution,[status(thm)],[p1181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB084+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 15:46:32 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.29/3.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.29/3.23 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------