%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB023+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 03:03:49 PM UTC 2026
% Result : Theorem 33.19s 4.89s
% Output : Proof 33.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 126 ( 24 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 140 ( 53 ~; 46 |; 36 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 24 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,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/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f294_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)],[f294]) ).
fof(f294_sk,plain,
! [S1,A1,Z,X] :
( ( ( ( sk10(Z,S1,A1) = A1
& ~ icext(Z,sk10(Z,S1,A1)) )
| ( sk10(Z,S1,A1) != A1
& icext(Z,sk10(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,[sk10])],[f294_nnf]) ).
cnf(c465,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)],[f294_sk]) ).
fof(f559,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f559_nnf,plain,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(nnf_transformation,[status(thm)],[f559]) ).
fof(f559_sk,plain,
( iext(uri_rdf_rest,sk200,uri_rdf_nil)
& iext(uri_rdf_first,sk200,uri_ex_v)
& iext(uri_rdf_first,sk200,uri_ex_u)
& iext(uri_owl_oneOf,sk199,sk200)
& iext(uri_rdf_type,sk199,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sk199)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk199,sk200])],[f559_nnf]) ).
cnf(c1412,plain,
iext(uri_rdf_first,sk200,uri_ex_v),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p2303,plain,
( X1 = uri_ex_v
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk200)
| ~ iext(uri_rdf_rest,sk200,uri_rdf_nil) ),
inference(resolution,[status(thm)],[c465,c1412]) ).
cnf(c1413,plain,
iext(uri_rdf_rest,sk200,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p2347,plain,
( X1 = uri_ex_v
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk200) ),
inference(resolution,[status(thm)],[p2303,c1413]) ).
cnf(c1410,plain,
iext(uri_owl_oneOf,sk199,sk200),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p2348,plain,
( X0 = uri_ex_v
| ~ icext(sk199,X0) ),
inference(resolution,[status(thm)],[p2347,c1410]) ).
fof(f24,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/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(c1408,plain,
iext(uri_rdf_type,uri_ex_w,sk199),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p860,plain,
icext(sk199,uri_ex_w),
inference(resolution,[status(thm)],[c25,c1408]) ).
cnf(p2349,plain,
uri_ex_w = uri_ex_v,
inference(resolution,[status(thm)],[p2348,p860]) ).
cnf(c1411,plain,
iext(uri_rdf_first,sk200,uri_ex_u),
inference(cnf_transformation,[status(esa)],[f559_sk]) ).
cnf(p2302,plain,
( X1 = uri_ex_u
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk200)
| ~ iext(uri_rdf_rest,sk200,uri_rdf_nil) ),
inference(resolution,[status(thm)],[c465,c1411]) ).
cnf(p2305,plain,
( X1 = uri_ex_u
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk200) ),
inference(resolution,[status(thm)],[p2302,c1413]) ).
cnf(p2306,plain,
( X0 = uri_ex_u
| ~ icext(sk199,X0) ),
inference(resolution,[status(thm)],[p2305,c1410]) ).
cnf(p2307,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[p2306,p860]) ).
fof(f558,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(f558_neg,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negated_conjecture,[status(cth)],[f558]) ).
fof(f558_nnf,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(nnf_transformation,[status(thm)],[f558_neg]) ).
fof(f558_sk,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(skolemisation,[status(esa)],[f558_nnf]) ).
cnf(c1406,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[status(esa)],[f558_sk]) ).
cnf(p2310,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) ),
inference(superposition,[status(thm)],[p2307,c1406]) ).
fof(f353,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f353_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)],[f353]) ).
fof(f353_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f353_nnf]) ).
cnf(c1048,plain,
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f353_sk]) ).
cnf(p899,plain,
iext(uri_owl_sameAs,X0,X0),
inference(equality_resolution,[status(thm)],[c1048]) ).
cnf(p2316,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),
inference(resolution,[status(thm)],[p2310,p899]) ).
cnf(p2351,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(superposition,[status(thm)],[p2349,p2316]) ).
cnf(p2352,plain,
$false,
inference(resolution,[status(thm)],[p2351,p899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB023+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.52 % Computer : n019.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Thu Sep 24 15:32:20 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 33.19/4.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.19/4.89 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------