%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB024+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 : n011.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 0.34s 15.91s
% Output : Proof 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 162 ( 56 ~; 51 |; 48 &)
% ( 4 <=>; 3 =>; 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 : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 40 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f1_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)],[f1]) ).
fof(f1_sk,plain,
! [Z,P,X,Y] :
( ( ( ~ iext(P,X,Y)
| icext(Z,X) )
& ( iext(P,X,sk0(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,[sk0])],[f1_nnf]) ).
cnf(c2,plain,
( iext(X1,X2,sk0(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)],[f1_sk]) ).
fof(f5,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(f5_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)],[f5]) ).
fof(f5_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,sk5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,sk5,uri_ex_hasAncestor)
& iext(uri_rdf_type,sk5,uri_owl_Restriction)
& iext(uri_rdfs_subClassOf,uri_ex_Person,sk5)
& iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f5_nnf]) ).
cnf(c19,plain,
iext(uri_owl_minCardinality,sk5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p64,plain,
( iext(X0,X1,sk0(sk5,X0,X1))
| ~ icext(sk5,X1)
| ~ iext(uri_owl_onProperty,sk5,X0) ),
inference(resolution,[status(thm)],[c2,c19]) ).
cnf(c18,plain,
iext(uri_owl_onProperty,sk5,uri_ex_hasAncestor),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p65,plain,
( iext(uri_ex_hasAncestor,X0,sk0(sk5,uri_ex_hasAncestor,X0))
| ~ icext(sk5,X0) ),
inference(resolution,[status(thm)],[p64,c18]) ).
fof(f2,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f2_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [C1,C2,X] :
( ( ( ~ icext(C2,sk1(C1,C2))
& icext(C1,sk1(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f2_nnf]) ).
cnf(c6,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(c16,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sk5),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p30,plain,
( icext(sk5,X0)
| ~ icext(uri_ex_Person,X0) ),
inference(resolution,[status(thm)],[c6,c16]) ).
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(c21,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p28,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(resolution,[status(thm)],[c0,c21]) ).
cnf(p32,plain,
icext(sk5,uri_ex_bob),
inference(resolution,[status(thm)],[p30,p28]) ).
cnf(p67,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,sk0(sk5,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p65,p32]) ).
fof(f3,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(f3_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)],[f3]) ).
fof(f3_sk,plain,
! [P,X,Y,Z] :
( ( ( ~ iext(P,sk2(P),sk4(P))
& iext(P,sk3(P),sk4(P))
& iext(P,sk2(P),sk3(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,[sk2,sk3,sk4])],[f3_nnf]) ).
cnf(c10,plain,
( iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X2)
| ~ icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(c15,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p25,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(resolution,[status(thm)],[c0,c15]) ).
cnf(p56,plain,
( iext(uri_ex_hasAncestor,X0,X2)
| ~ iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X0,X1) ),
inference(resolution,[status(thm)],[c10,p25]) ).
cnf(c22,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p57,plain,
( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(resolution,[status(thm)],[p56,c22]) ).
cnf(p72,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,sk0(sk5,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p67,p57]) ).
fof(f4,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(f4_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)],[f4]) ).
fof(f4_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)],[f4_neg]) ).
fof(f4_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)],[f4_nnf]) ).
cnf(c14,plain,
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p70,plain,
~ iext(uri_ex_hasAncestor,uri_ex_alice,sk0(sk5,uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[status(thm)],[p67,c14]) ).
cnf(p74,plain,
$false,
inference(resolution,[status(thm)],[p72,p70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.42 % CPULimit : 300
% 0.08/15.42 % WCLimit : 300
% 0.08/15.42 % DateTime : Thu Sep 24 15:33:32 UTC 2026
% 0.08/15.42 % CPUTime :
% 0.08/15.42 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.34/15.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/15.91 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------