%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 03:03:53 PM UTC 2026
% Result : Unsatisfiable 4.18s 0.97s
% Output : Proof 4.18s
% Verified :
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f5_nnf,plain,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( iext(uri_rdf_rest,sk3,uri_rdf_nil)
& iext(uri_rdf_first,sk3,uri_ex_w)
& iext(uri_owl_oneOf,sk2,sk3)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f5_nnf]) ).
cnf(c21,plain,
iext(uri_rdf_first,sk3,uri_ex_w),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f3,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(f3_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)],[f3]) ).
fof(f3_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])],[f3_nnf]) ).
cnf(c5,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)],[f3_sk]) ).
cnf(p33,plain,
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk3)
| ~ iext(uri_rdf_rest,sk3,uri_rdf_nil) ),
inference(resolution,[status(thm)],[c21,c5]) ).
cnf(c22,plain,
iext(uri_rdf_rest,sk3,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p45,plain,
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sk3) ),
inference(resolution,[status(thm)],[p33,c22]) ).
cnf(c20,plain,
iext(uri_owl_oneOf,sk2,sk3),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p53,plain,
( X0 = uri_ex_w
| ~ icext(sk2,X0) ),
inference(resolution,[status(thm)],[p45,c20]) ).
cnf(c19,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sk2),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f4,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f4_nnf,plain,
! [C1,C2] :
( ( ? [X] :
( ( icext(C2,X)
& ~ icext(C1,X) )
| ( ~ icext(C2,X)
& icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [C1,C2,X] :
( ( ( icext(C2,sk1(C1,C2))
& ~ icext(C1,sk1(C1,C2)) )
| ( ~ icext(C2,sk1(C1,C2))
& icext(C1,sk1(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f4_nnf]) ).
cnf(c13,plain,
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p31,plain,
( icext(sk2,X0)
| ~ icext(uri_owl_Thing,X0) ),
inference(resolution,[status(thm)],[c19,c13]) ).
fof(f1,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f1_nnf,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f0,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
fof(f0_nnf,plain,
! [X] : ir(X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : ir(X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
ir(X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p23,plain,
icext(uri_owl_Thing,X0),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(p43,plain,
icext(sk2,X0),
inference(resolution,[status(thm)],[p31,p23]) ).
cnf(p58,plain,
X0 = uri_ex_w,
inference(resolution,[status(thm)],[p53,p43]) ).
fof(f2,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f2_nnf,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c3,plain,
~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p60,plain,
~ uri_ex_w,
inference(demodulation,[status(thm)],[p58,c3]) ).
cnf(p59,plain,
uri_ex_w,
inference(demodulation,[status(thm)],[p58,c0]) ).
cnf(p61,plain,
$false,
inference(resolution,[status(thm)],[p60,p59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n012.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
% 0.08/0.36 % DateTime : Thu Sep 24 15:37:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.18/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/0.97 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------