%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB020+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 : n002.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 03:03:48 PM UTC 2026
% Result : Theorem 5.50s 1.29s
% Output : Proof 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 121 ( 28 unt; 0 def)
% Number of atoms : 559 ( 0 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 696 ( 258 ~; 294 |; 132 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-7 aty)
% Number of variables : 225 ( 25 sgn 75 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
fof(f3_nnf,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( ? [X] :
( ( ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) )
& ~ icext(Z,X) )
| ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X)
& icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ( ( ! [X] :
( ( ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X) )
| icext(Z,X) )
& ( icext(C3,X)
| icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [S1,C1,S2,C2,S3,C3,Z,X] :
( ( ( ( ( icext(C3,sk1(Z,S1,C1,S2,C2,S3,C3))
| icext(C2,sk1(Z,S1,C1,S2,C2,S3,C3))
| icext(C1,sk1(Z,S1,C1,S2,C2,S3,C3)) )
& ~ icext(Z,sk1(Z,S1,C1,S2,C2,S3,C3)) )
| ( ~ icext(C3,sk1(Z,S1,C1,S2,C2,S3,C3))
& ~ icext(C2,sk1(Z,S1,C1,S2,C2,S3,C3))
& ~ icext(C1,sk1(Z,S1,C1,S2,C2,S3,C3))
& icext(Z,sk1(Z,S1,C1,S2,C2,S3,C3)) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ( ( ( ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X) )
| icext(Z,X) )
& ( icext(C3,X)
| icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c22,plain,
( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7)
| ~ icext(X0,X7)
| ~ iext(uri_owl_unionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f7,axiom,
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(f7_nnf,plain,
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( iext(uri_owl_complementOf,sk5,uri_ex_c2)
& iext(uri_rdf_rest,sk10,uri_rdf_nil)
& iext(uri_rdf_first,sk10,sk5)
& iext(uri_rdf_rest,sk9,sk10)
& iext(uri_rdf_first,sk9,uri_ex_c)
& iext(uri_owl_intersectionOf,sk4,sk9)
& iext(uri_rdfs_subClassOf,uri_ex_d,sk4)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,sk8,uri_rdf_nil)
& iext(uri_rdf_first,sk8,uri_ex_c3)
& iext(uri_rdf_rest,sk7,sk8)
& iext(uri_rdf_first,sk7,uri_ex_c2)
& iext(uri_rdf_rest,sk6,sk7)
& iext(uri_rdf_first,sk6,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sk6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7,sk8,sk9,sk10])],[f7_nnf]) ).
cnf(c46,plain,
iext(uri_rdf_first,sk6,uri_ex_c1),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1061,plain,
( icext(X3,X5)
| icext(X1,X5)
| icext(uri_ex_c1,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_unionOf,X4,sk6)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk6,X0) ),
inference(resolution,[status(thm)],[c22,c46]) ).
cnf(c47,plain,
iext(uri_rdf_rest,sk6,sk7),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1175,plain,
( icext(X2,X4)
| icext(X0,X4)
| icext(uri_ex_c1,X4)
| ~ icext(X3,X4)
| ~ iext(uri_owl_unionOf,X3,sk6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sk7,X1)
| ~ iext(uri_rdf_first,sk7,X0) ),
inference(resolution,[status(thm)],[p1061,c47]) ).
cnf(c48,plain,
iext(uri_rdf_first,sk7,uri_ex_c2),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1179,plain,
( icext(X1,X3)
| icext(uri_ex_c2,X3)
| icext(uri_ex_c1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,X2,sk6)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk7,X0) ),
inference(resolution,[status(thm)],[p1175,c48]) ).
cnf(c49,plain,
iext(uri_rdf_rest,sk7,sk8),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1182,plain,
( icext(X0,X2)
| icext(uri_ex_c2,X2)
| icext(uri_ex_c1,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,sk6)
| ~ iext(uri_rdf_rest,sk8,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk8,X0) ),
inference(resolution,[status(thm)],[p1179,c49]) ).
cnf(c50,plain,
iext(uri_rdf_first,sk8,uri_ex_c3),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1185,plain,
( icext(uri_ex_c3,X1)
| icext(uri_ex_c2,X1)
| icext(uri_ex_c1,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sk6)
| ~ iext(uri_rdf_rest,sk8,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p1182,c50]) ).
cnf(c51,plain,
iext(uri_rdf_rest,sk8,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1186,plain,
( icext(uri_ex_c3,X1)
| icext(uri_ex_c2,X1)
| icext(uri_ex_c1,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sk6) ),
inference(resolution,[status(thm)],[p1185,c51]) ).
cnf(c45,plain,
iext(uri_owl_unionOf,uri_ex_c,sk6),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1187,plain,
( icext(uri_ex_c3,X0)
| icext(uri_ex_c2,X0)
| icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[status(thm)],[p1186,c45]) ).
cnf(c21,plain,
( ic(X6)
| ~ iext(uri_owl_unionOf,X0,X1)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p681,plain,
( ic(X3)
| ~ iext(uri_owl_unionOf,X4,sk6)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk6,X0) ),
inference(resolution,[status(thm)],[c21,c46]) ).
cnf(p691,plain,
( ic(X2)
| ~ iext(uri_owl_unionOf,X3,sk6)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sk7,X1)
| ~ iext(uri_rdf_first,sk7,X0) ),
inference(resolution,[status(thm)],[p681,c47]) ).
cnf(p692,plain,
( ic(X1)
| ~ iext(uri_owl_unionOf,X2,sk6)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk7,X0) ),
inference(resolution,[status(thm)],[p691,c48]) ).
cnf(p693,plain,
( ic(X0)
| ~ iext(uri_owl_unionOf,X1,sk6)
| ~ iext(uri_rdf_rest,sk8,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk8,X0) ),
inference(resolution,[status(thm)],[p692,c49]) ).
cnf(p694,plain,
( ic(uri_ex_c3)
| ~ iext(uri_owl_unionOf,X0,sk6)
| ~ iext(uri_rdf_rest,sk8,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p693,c50]) ).
cnf(p695,plain,
( ic(uri_ex_c3)
| ~ iext(uri_owl_unionOf,X0,sk6) ),
inference(resolution,[status(thm)],[p694,c51]) ).
cnf(p696,plain,
ic(uri_ex_c3),
inference(resolution,[status(thm)],[p695,c45]) ).
fof(f4,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(f4_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)],[f4]) ).
fof(f4_sk,plain,
! [C1,C2,X] :
( ( ( ~ icext(C2,sk2(C1,C2))
& icext(C1,sk2(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,[sk2])],[f4_nnf]) ).
cnf(c37,plain,
( icext(X0,sk2(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f0,axiom,
! [X,Y] :
( iext(uri_owl_disjointWith,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
fof(f0_nnf,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_disjointWith,X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_disjointWith,X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ic(X0)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c52,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p60,plain,
ic(uri_ex_d),
inference(resolution,[status(thm)],[c0,c52]) ).
cnf(p73,plain,
( icext(uri_ex_d,sk2(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c37,p60]) ).
cnf(p699,plain,
( icext(uri_ex_d,sk2(uri_ex_d,uri_ex_c3))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p696,p73]) ).
fof(f2,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f2_nnf,plain,
! [Z,S1,C1,S2,C2] :
( ( ( ? [X] :
( ( icext(C2,X)
& icext(C1,X)
& ~ icext(Z,X) )
| ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [S1,C1,S2,C2,Z,X] :
( ( ( ( icext(C2,sk0(Z,S1,C1,S2,C2))
& icext(C1,sk0(Z,S1,C1,S2,C2))
& ~ icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ( ( ~ icext(C2,sk0(Z,S1,C1,S2,C2))
| ~ icext(C1,sk0(Z,S1,C1,S2,C2)) )
& icext(Z,sk0(Z,S1,C1,S2,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ( ( ~ icext(C2,X)
| ~ icext(C1,X)
| icext(Z,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c9,plain,
( icext(X2,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,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(c55,plain,
iext(uri_rdf_first,sk9,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p351,plain,
( icext(uri_ex_c,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,sk9)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk9,X0) ),
inference(resolution,[status(thm)],[c9,c55]) ).
cnf(c56,plain,
iext(uri_rdf_rest,sk9,sk10),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p365,plain,
( icext(uri_ex_c,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X1,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk10,X0) ),
inference(resolution,[status(thm)],[p351,c56]) ).
cnf(c57,plain,
iext(uri_rdf_first,sk10,sk5),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p366,plain,
( icext(uri_ex_c,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p365,c57]) ).
cnf(c58,plain,
iext(uri_rdf_rest,sk10,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p367,plain,
( icext(uri_ex_c,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk9) ),
inference(resolution,[status(thm)],[p366,c58]) ).
cnf(c54,plain,
iext(uri_owl_intersectionOf,sk4,sk9),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p368,plain,
( icext(uri_ex_c,X0)
| ~ icext(sk4,X0) ),
inference(resolution,[status(thm)],[p367,c54]) ).
cnf(c7,plain,
( ic(X2)
| ~ iext(uri_owl_intersectionOf,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(p266,plain,
( ic(uri_ex_c)
| ~ iext(uri_owl_intersectionOf,X2,sk9)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk9,X0) ),
inference(resolution,[status(thm)],[c7,c55]) ).
cnf(p271,plain,
( ic(uri_ex_c)
| ~ iext(uri_owl_intersectionOf,X1,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk10,X0) ),
inference(resolution,[status(thm)],[p266,c56]) ).
cnf(p272,plain,
( ic(uri_ex_c)
| ~ iext(uri_owl_intersectionOf,X0,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p271,c57]) ).
cnf(p273,plain,
( ic(uri_ex_c)
| ~ iext(uri_owl_intersectionOf,X0,sk9) ),
inference(resolution,[status(thm)],[p272,c58]) ).
cnf(p274,plain,
ic(uri_ex_c),
inference(resolution,[status(thm)],[p273,c54]) ).
cnf(p277,plain,
( icext(uri_ex_d,sk2(uri_ex_d,uri_ex_c))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c) ),
inference(resolution,[status(thm)],[p274,p73]) ).
cnf(c36,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c53,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sk4),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p69,plain,
( icext(sk4,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c36,c53]) ).
cnf(p302,plain,
( icext(sk4,sk2(uri_ex_d,uri_ex_c))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c) ),
inference(resolution,[status(thm)],[p277,p69]) ).
cnf(p391,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
| icext(uri_ex_c,sk2(uri_ex_d,uri_ex_c)) ),
inference(resolution,[status(thm)],[p368,p302]) ).
cnf(c38,plain,
( ~ icext(X1,sk2(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p116,plain,
( ~ icext(X0,sk2(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c38,p60]) ).
cnf(p284,plain,
( ~ icext(uri_ex_c,sk2(uri_ex_d,uri_ex_c))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c) ),
inference(resolution,[status(thm)],[p274,p116]) ).
cnf(p394,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c)
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c) ),
inference(resolution,[status(thm)],[p391,p284]) ).
cnf(p395,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c),
inference(factoring,[status(thm)],[p394]) ).
cnf(p396,plain,
( icext(uri_ex_c,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[p395,c36]) ).
cnf(p730,plain,
( icext(uri_ex_c,sk2(uri_ex_d,uri_ex_c3))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p699,p396]) ).
cnf(p1212,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_c2,sk2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_c1,sk2(uri_ex_d,uri_ex_c3)) ),
inference(resolution,[status(thm)],[p1187,p730]) ).
cnf(c10,plain,
( icext(X4,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,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(p401,plain,
( icext(X1,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,sk9)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,sk9,X0) ),
inference(resolution,[status(thm)],[c10,c55]) ).
cnf(p409,plain,
( icext(X0,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_intersectionOf,X1,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil)
| ~ iext(uri_rdf_first,sk10,X0) ),
inference(resolution,[status(thm)],[p401,c56]) ).
cnf(p410,plain,
( icext(sk5,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk9)
| ~ iext(uri_rdf_rest,sk10,uri_rdf_nil) ),
inference(resolution,[status(thm)],[p409,c57]) ).
cnf(p411,plain,
( icext(sk5,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sk9) ),
inference(resolution,[status(thm)],[p410,c58]) ).
cnf(p412,plain,
( icext(sk5,X0)
| ~ icext(sk4,X0) ),
inference(resolution,[status(thm)],[p411,c54]) ).
fof(f5,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f5_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [C1,C2,X] :
( ( ( icext(C2,sk3(C1,C2))
& icext(C1,sk3(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f5_nnf]) ).
cnf(c42,plain,
( icext(X0,sk3(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p158,plain,
( icext(uri_ex_d,sk3(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c42,p60]) ).
fof(f1,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f1_nnf,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Z,C,X] :
( ( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c3,plain,
( ic(X1)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(c59,plain,
iext(uri_owl_complementOf,sk5,uri_ex_c2),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p63,plain,
ic(uri_ex_c2),
inference(resolution,[status(thm)],[c3,c59]) ).
cnf(p172,plain,
( icext(uri_ex_d,sk3(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
inference(resolution,[status(thm)],[p158,p63]) ).
cnf(p176,plain,
( icext(sk4,sk3(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
inference(resolution,[status(thm)],[p172,p69]) ).
cnf(p422,plain,
( iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2)
| icext(sk5,sk3(uri_ex_d,uri_ex_c2)) ),
inference(resolution,[status(thm)],[p412,p176]) ).
cnf(c4,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p66,plain,
( ~ icext(uri_ex_c2,X0)
| ~ icext(sk5,X0) ),
inference(resolution,[status(thm)],[c4,c59]) ).
cnf(p446,plain,
( ~ icext(uri_ex_c2,sk3(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
inference(resolution,[status(thm)],[p422,p66]) ).
cnf(c43,plain,
( icext(X1,sk3(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p200,plain,
( icext(X0,sk3(uri_ex_d,X0))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c43,p60]) ).
cnf(p206,plain,
( icext(uri_ex_c2,sk3(uri_ex_d,uri_ex_c2))
| iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
inference(resolution,[status(thm)],[p200,p63]) ).
cnf(p458,plain,
( iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2)
| iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2) ),
inference(resolution,[status(thm)],[p446,p206]) ).
cnf(p459,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c2),
inference(factoring,[status(thm)],[p458]) ).
cnf(c41,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p460,plain,
( ~ icext(uri_ex_c2,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[p459,c41]) ).
cnf(p732,plain,
( ~ icext(uri_ex_c2,sk2(uri_ex_d,uri_ex_c3))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p699,p460]) ).
cnf(p1274,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_c1,sk2(uri_ex_d,uri_ex_c3)) ),
inference(resolution,[status(thm)],[p1212,p732]) ).
cnf(p1275,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3))
| icext(uri_ex_c1,sk2(uri_ex_d,uri_ex_c3)) ),
inference(factoring,[status(thm)],[p1274]) ).
cnf(p71,plain,
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_d,X0) ),
inference(resolution,[status(thm)],[c41,c52]) ).
cnf(p729,plain,
( ~ icext(uri_ex_c1,sk2(uri_ex_d,uri_ex_c3))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p699,p71]) ).
cnf(p1276,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3)) ),
inference(resolution,[status(thm)],[p1275,p729]) ).
cnf(p1277,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3)) ),
inference(factoring,[status(thm)],[p1276]) ).
cnf(p706,plain,
( ~ icext(uri_ex_c3,sk2(uri_ex_d,uri_ex_c3))
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p696,p116]) ).
cnf(p1278,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) ),
inference(resolution,[status(thm)],[p1277,p706]) ).
cnf(p1279,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(factoring,[status(thm)],[p1278]) ).
fof(f6,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(f6_neg,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_nnf,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_sk,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c44,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p1280,plain,
$false,
inference(resolution,[status(thm)],[p1279,c44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB020+2 : 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 : n002.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 15:33:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.50/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.50/1.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------