%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB027+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 : n006.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 7.27s 1.48s
% Output : Proof 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 231 ( 14 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 272 ( 97 ~; 104 |; 62 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-5 aty)
% Number of variables : 120 ( 1 sgn 60 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
? [BNODE_l1,BNODE_l2,BNODE_v] :
( iext(uri_owl_inverseOf,BNODE_v,uri_ex_p)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_v)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Pr_hc89b89aea635f617) ).
fof(f6_nnf,plain,
? [BNODE_l1,BNODE_l2,BNODE_v] :
( iext(uri_owl_inverseOf,BNODE_v,uri_ex_p)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_v)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( iext(uri_owl_inverseOf,sk10,uri_ex_p)
& iext(uri_rdf_rest,sk9,uri_rdf_nil)
& iext(uri_rdf_first,sk9,sk10)
& iext(uri_rdf_rest,sk8,sk9)
& iext(uri_rdf_first,sk8,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8,sk9,sk10])],[f6_nnf]) ).
cnf(c26,plain,
iext(uri_rdf_first,sk8,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f2,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( ( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y2) )
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f2_nnf,plain,
! [P,S1,P1,S2,P2] :
( ( ( ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [S1,P1,S2,P2,P,Y0,Y1,Y2] :
( ( ( ( ~ iext(P,sk0(P,S1,P1,S2,P2),sk2(P,S1,P1,S2,P2))
& iext(P2,sk1(P,S1,P1,S2,P2),sk2(P,S1,P1,S2,P2))
& iext(P1,sk0(P,S1,P1,S2,P2),sk1(P,S1,P1,S2,P2)) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f2_nnf]) ).
cnf(c7,plain,
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p71,plain,
( iext(X2,X3,X5)
| ~ iext(X1,X4,X5)
| ~ iext(uri_ex_p,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X2,sk8)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk8,X0) ),
inference(resolution,[status(thm)],[c26,c7]) ).
cnf(c27,plain,
iext(uri_rdf_rest,sk8,sk9),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p189,plain,
( iext(X1,X2,X4)
| ~ iext(X0,X3,X4)
| ~ iext(uri_ex_p,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,sk8)
| ~ iext(uri_rdf_rest,sk9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk9,X0) ),
inference(resolution,[status(thm)],[p71,c27]) ).
cnf(c28,plain,
iext(uri_rdf_first,sk9,sk10),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p291,plain,
( iext(X0,X1,X3)
| ~ iext(sk10,X2,X3)
| ~ iext(uri_ex_p,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sk8)
| ~ iext(uri_rdf_rest,sk9,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p189,c28]) ).
cnf(c29,plain,
iext(uri_rdf_rest,sk9,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p327,plain,
( iext(X0,X1,X3)
| ~ iext(sk10,X2,X3)
| ~ iext(uri_ex_p,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sk8) ),
inference(resolution,[status(thm)],[p291,c29]) ).
cnf(c25,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk8),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p340,plain,
( iext(uri_owl_sameAs,X0,X2)
| ~ iext(sk10,X1,X2)
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[p327,c25]) ).
cnf(c30,plain,
iext(uri_owl_inverseOf,sk10,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f4,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f4_nnf,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ( iext(P2,Y,X)
& ~ iext(P1,X,Y) )
| ( ~ iext(P2,Y,X)
& iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ! [X,Y] :
( ( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [P1,P2,X,Y] :
( ( ( iext(P2,sk7(P1,P2),sk6(P1,P2))
& ~ iext(P1,sk6(P1,P2),sk7(P1,P2)) )
| ( ~ iext(P2,sk7(P1,P2),sk6(P1,P2))
& iext(P1,sk6(P1,P2),sk7(P1,P2)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6,sk7])],[f4_nnf]) ).
cnf(c17,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p83,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[c30,c17]) ).
fof(f3,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(f3_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)],[f3]) ).
fof(f3_sk,plain,
! [P,X1,Y,X2] :
( ( ( sk3(P) != sk4(P)
& iext(P,sk4(P),sk5(P))
& iext(P,sk3(P),sk5(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,[sk3,sk4,sk5])],[f3_nnf]) ).
cnf(c13,plain,
( iext(X0,sk3(X0),sk5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p206,plain,
( iext(uri_ex_p,sk3(uri_ex_p),sk5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p83,c13]) ).
cnf(p359,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,sk3(uri_ex_p),X0)
| ~ iext(sk10,sk5(uri_ex_p),X0) ),
inference(resolution,[status(thm)],[p340,p206]) ).
cnf(c14,plain,
( iext(X0,sk4(X0),sk5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p207,plain,
( iext(uri_ex_p,sk4(uri_ex_p),sk5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p83,c14]) ).
cnf(c19,plain,
( ~ iext(X1,X3,X2)
| iext(X0,X2,X3)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p85,plain,
( ~ iext(uri_ex_p,X1,X0)
| iext(sk10,X0,X1) ),
inference(resolution,[status(thm)],[c30,c19]) ).
cnf(p299,plain,
( iext(sk10,sk5(uri_ex_p),sk4(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p207,p85]) ).
cnf(p383,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,sk3(uri_ex_p),sk4(uri_ex_p)) ),
inference(resolution,[status(thm)],[p359,p299]) ).
cnf(p401,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,sk3(uri_ex_p),sk4(uri_ex_p)) ),
inference(factoring,[status(thm)],[p383]) ).
fof(f1,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f1_nnf,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p415,plain,
( sk3(uri_ex_p) = sk4(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p401,c2]) ).
cnf(c15,plain,
( sk3(X0) != sk4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p208,plain,
( sk3(uri_ex_p) != sk4(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p83,c15]) ).
cnf(p424,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[p415,p208]) ).
cnf(p431,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(factoring,[status(thm)],[p424]) ).
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(c1,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p438,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(resolution,[status(thm)],[p431,c1]) ).
fof(f5,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_hcaa5dd954ac34b4b) ).
fof(f5_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f5_nnf,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(nnf_transformation,[status(thm)],[f5_neg]) ).
fof(f5_sk,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c24,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p450,plain,
$false,
inference(resolution,[status(thm)],[p438,c24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 15:35:06 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.27/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.27/1.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------