%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB026+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 : 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 03:03:51 PM UTC 2026
% Result : Theorem 5.22s 1.13s
% Output : Proof 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 18 unt; 0 def)
% Number of atoms : 188 ( 26 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 196 ( 67 ~; 73 |; 48 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 80 ( 3 sgn 45 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f4_nnf,plain,
! [Z,S1,A1] :
( ( ( ? [X] :
( ( X = A1
& ~ icext(Z,X) )
| ( X != A1
& icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [S1,A1,Z,X] :
( ( ( ( sk0(Z,S1,A1) = A1
& ~ icext(Z,sk0(Z,S1,A1)) )
| ( sk0(Z,S1,A1) != A1
& icext(Z,sk0(Z,S1,A1)) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f4_nnf]) ).
cnf(c7,plain,
( X3 = X2
| ~ icext(X0,X3)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f7,axiom,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Pr_hf87d6707a715336b) ).
fof(f7_nnf,plain,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( iext(uri_rdf_rest,sk7,uri_rdf_nil)
& iext(uri_rdf_first,sk7,uri_ex_u)
& iext(uri_owl_oneOf,sk5,sk7)
& iext(uri_rdfs_range,uri_ex_p,sk5)
& iext(uri_rdf_rest,sk6,uri_rdf_nil)
& iext(uri_rdf_first,sk6,uri_ex_w)
& iext(uri_owl_oneOf,sk4,sk6)
& iext(uri_rdfs_domain,uri_ex_p,sk4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7])],[f7_nnf]) ).
cnf(c21,plain,
iext(uri_rdf_first,sk6,uri_ex_w),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p38,plain,
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk6)
| ~ iext(uri_rdf_rest,sk6,uri_rdf_nil) ),
inference(resolution,[status(thm)],[c7,c21]) ).
cnf(c22,plain,
iext(uri_rdf_rest,sk6,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p73,plain,
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk6) ),
inference(resolution,[status(thm)],[p38,c22]) ).
cnf(c20,plain,
iext(uri_owl_oneOf,sk4,sk6),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p74,plain,
( X0 = uri_ex_w
| ~ icext(sk4,X0) ),
inference(resolution,[status(thm)],[p73,c20]) ).
fof(f5,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f5_nnf,plain,
! [P] :
( ( ? [X1,X2,Y] :
( X1 != X2
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [P,X1,Y,X2] :
( ( ( sk1(P) != sk2(P)
& iext(P,sk2(P),sk3(P))
& iext(P,sk1(P),sk3(P)) )
| ~ ip(P)
| icext(uri_owl_InverseFunctionalProperty,P) )
& ( ( ( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3])],[f5_nnf]) ).
cnf(c16,plain,
( iext(X0,sk2(X0),sk3(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f2,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f2_nnf,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f3,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f3_nnf,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c5,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p28,plain,
( icext(uri_rdf_Property,X0)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(c19,plain,
iext(uri_rdfs_domain,uri_ex_p,sk4),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p36,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(resolution,[status(thm)],[p28,c19]) ).
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f1_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)],[f1]) ).
fof(f1_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)],[f1_nnf]) ).
cnf(c3,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p37,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(resolution,[status(thm)],[p36,c3]) ).
fof(f0,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f0_nnf,plain,
! [P] :
( ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P] :
( ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p40,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[p37,c0]) ).
cnf(p63,plain,
( iext(uri_ex_p,sk2(uri_ex_p),sk3(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[c16,p40]) ).
cnf(p29,plain,
( icext(sk4,X0)
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[c4,c19]) ).
cnf(p71,plain,
( icext(sk4,sk2(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p63,p29]) ).
cnf(p76,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| sk2(uri_ex_p) = uri_ex_w ),
inference(resolution,[status(thm)],[p74,p71]) ).
cnf(c15,plain,
( iext(X0,sk1(X0),sk3(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p50,plain,
( iext(uri_ex_p,sk1(uri_ex_p),sk3(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[c15,p40]) ).
cnf(p60,plain,
( icext(sk4,sk1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p50,p29]) ).
cnf(p75,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| sk1(uri_ex_p) = uri_ex_w ),
inference(resolution,[status(thm)],[p74,p60]) ).
cnf(c17,plain,
( sk1(X0) != sk2(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p41,plain,
( sk1(uri_ex_p) != sk2(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p40,c17]) ).
cnf(p77,plain,
( uri_ex_w != sk2(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(superposition,[status(thm)],[p75,p41]) ).
cnf(p87,plain,
( uri_ex_w != sk2(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(factoring,[status(thm)],[p77]) ).
cnf(p88,plain,
( uri_ex_w != uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(superposition,[status(thm)],[p76,p87]) ).
cnf(p89,plain,
( uri_ex_w != uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(factoring,[status(thm)],[p88]) ).
cnf(p90,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(equality_resolution,[status(thm)],[p89]) ).
cnf(p92,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(resolution,[status(thm)],[p90,c3]) ).
fof(f6,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_h549d07c45f07d6e7) ).
fof(f6_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_nnf,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_sk,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c18,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p94,plain,
$false,
inference(resolution,[status(thm)],[p92,c18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.39 % Computer : n005.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Thu Sep 24 15:34:17 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.22/1.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/1.13 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------