%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB024+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 : n018.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 03:03:50 PM UTC 2026
% Result : Theorem 32.99s 4.99s
% Output : Proof 32.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 146 ( 50 ~; 45 |; 44 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 40 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,axiom,
! [Z,P] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] : iext(P,X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
fof(f328_nnf,plain,
! [Z,P] :
( ! [X] :
( ( ! [Y] : ~ iext(P,X,Y)
| icext(Z,X) )
& ( ? [Y] : iext(P,X,Y)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(nnf_transformation,[status(thm)],[f328]) ).
fof(f328_sk,plain,
! [Z,P,X,Y] :
( ( ( ~ iext(P,X,Y)
| icext(Z,X) )
& ( iext(P,X,sk92(Z,P,X))
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk92])],[f328_nnf]) ).
cnf(c741,plain,
( iext(X1,X2,sk92(X0,X1,X2))
| ~ icext(X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[status(esa)],[f328_sk]) ).
fof(f559,axiom,
? [BNODE_z] :
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_h4afd8ec55b6a94b4) ).
fof(f559_nnf,plain,
? [BNODE_z] :
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
inference(nnf_transformation,[status(thm)],[f559]) ).
fof(f559_sk,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_owl_minCardinality,sk199,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,sk199,uri_ex_hasAncestor)
& iext(uri_rdf_type,sk199,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,sk199)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk199])],[f559_nnf]) ).
cnf(c1411,plain,
iext(uri_owl_minCardinality,sk199,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1975,plain,
( iext(X0,X1,sk92(sk199,X0,X1))
| ~ icext(sk199,X1)
| ~ iext(uri_owl_onProperty,sk199,X0) ),
inference(resolution,[status(thm)],[c741,c1411]) ).
cnf(c1410,plain,
iext(uri_owl_onProperty,sk199,uri_ex_hasAncestor),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1976,plain,
( iext(uri_ex_hasAncestor,X0,sk92(sk199,uri_ex_hasAncestor,X0))
| ~ icext(sk199,X0) ),
inference(resolution,[status(thm)],[p1975,c1410]) ).
fof(f67,axiom,
! [C,D] :
( iext(uri_rdfs_subClassOf,C,D)
=> ( ! [X] :
( icext(C,X)
=> icext(D,X) )
& ic(D)
& ic(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
fof(f67_nnf,plain,
! [C,D] :
( ( ! [X] :
( icext(D,X)
| ~ icext(C,X) )
& ic(D)
& ic(C) )
| ~ iext(uri_rdfs_subClassOf,C,D) ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
! [C,D,X] :
( ( ( icext(D,X)
| ~ icext(C,X) )
& ic(D)
& ic(C) )
| ~ iext(uri_rdfs_subClassOf,C,D) ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c74,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(c1408,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sk199),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p855,plain,
( icext(sk199,X0)
| ~ icext(uri_ex_Person,X0) ),
inference(resolution,[status(thm)],[c74,c1408]) ).
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(c1413,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p841,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(resolution,[status(thm)],[c25,c1413]) ).
cnf(p867,plain,
icext(sk199,uri_ex_bob),
inference(resolution,[status(thm)],[p855,p841]) ).
cnf(p1978,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,sk92(sk199,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p1976,p867]) ).
fof(f397,axiom,
! [P] :
( icext(uri_owl_TransitiveProperty,P)
<=> ( ! [X,Y,Z] :
( ( iext(P,Y,Z)
& iext(P,X,Y) )
=> iext(P,X,Z) )
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
fof(f397_nnf,plain,
! [P] :
( ( ? [X,Y,Z] :
( ~ iext(P,X,Z)
& iext(P,Y,Z)
& iext(P,X,Y) )
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ( ( ! [X,Y,Z] :
( iext(P,X,Z)
| ~ iext(P,Y,Z)
| ~ iext(P,X,Y) )
& ip(P) )
| ~ icext(uri_owl_TransitiveProperty,P) ) ),
inference(nnf_transformation,[status(thm)],[f397]) ).
fof(f397_sk,plain,
! [P,X,Y,Z] :
( ( ( ~ iext(P,sk180(P),sk182(P))
& iext(P,sk181(P),sk182(P))
& iext(P,sk180(P),sk181(P)) )
| ~ ip(P)
| icext(uri_owl_TransitiveProperty,P) )
& ( ( ( iext(P,X,Z)
| ~ iext(P,Y,Z)
| ~ iext(P,X,Y) )
& ip(P) )
| ~ icext(uri_owl_TransitiveProperty,P) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk180,sk181,sk182])],[f397_nnf]) ).
cnf(c1194,plain,
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f397_sk]) ).
cnf(c1407,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p838,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(resolution,[status(thm)],[c25,c1407]) ).
cnf(p1912,plain,
( iext(uri_ex_hasAncestor,X0,X2)
| ~ iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X0,X1) ),
inference(resolution,[status(thm)],[c1194,p838]) ).
cnf(c1414,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p1915,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(resolution,[status(thm)],[p1912,c1414]) ).
cnf(p1987,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,sk92(sk199,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p1978,p1915]) ).
fof(f558,conjecture,
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinal_h637030cd8df94490) ).
fof(f558_neg,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f558]) ).
fof(f558_nnf,plain,
! [BNODE_x] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(nnf_transformation,[status(thm)],[f558_neg]) ).
fof(f558_sk,plain,
! [BNODE_x] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
inference(skolemisation,[status(esa)],[f558_nnf]) ).
cnf(c1406,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(cnf_transformation,[status(esa)],[f558_sk]) ).
cnf(p1985,plain,
~ iext(uri_ex_hasAncestor,uri_ex_alice,sk92(sk199,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p1978,c1406]) ).
cnf(p1989,plain,
$false,
inference(resolution,[status(thm)],[p1987,p1985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 15:34:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.99/4.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.99/4.99 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------