%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 03:03:43 PM UTC 2026
% Result : Theorem 15.21s 2.38s
% Output : Proof 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 24 unt; 0 def)
% Number of atoms : 134 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 138 ( 54 ~; 40 |; 38 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-4 aty)
% Number of variables : 79 ( 2 sgn 40 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f79_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)],[f79]) ).
fof(f79_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)],[f79_nnf]) ).
cnf(c199,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi176,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c199]) ).
fof(f139,axiom,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_h3bd2202643e0a31a) ).
fof(f139_nnf,plain,
? [BNODE_z] :
( iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(nnf_transformation,[status(thm)],[f139]) ).
fof(f139_sk,plain,
( iext(uri_owl_someValuesFrom,sk18,uri_ex_c)
& iext(uri_owl_onProperty,sk18,uri_ex_p)
& iext(uri_rdf_type,sk18,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sk18)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk18])],[f139_nnf]) ).
cnf(c269,plain,
iext(uri_rdf_type,uri_ex_s,sk18),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi244,axiom,
iext(uri_rdf_type,uri_ex_s,sk18) = true,
inference(equality_encoding,[status(esa)],[c269]) ).
cnf(h2990,plain,
icext(sk18,uri_ex_s) = true,
inference(hyper_resolution,[status(thm)],[hi176,hi244]) ).
fof(f57,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_someValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f57_nnf,plain,
! [Z,P,C] :
( ! [X] :
( ( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ( ? [Y] :
( icext(C,Y)
& iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [Z,C,P,X,Y] :
( ( ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| icext(Z,X) )
& ( ( icext(C,sk17(Z,P,C,X))
& iext(P,X,sk17(Z,P,C,X)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk17])],[f57_nnf]) ).
cnf(c175,plain,
( icext(X2,sk17(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(hi152,axiom,
ifeq(iext(uri_owl_someValuesFrom,X0,X1),true,ifeq(iext(uri_owl_onProperty,X0,X2),true,ifeq(icext(X0,X3),true,icext(X1,sk17(X0,X2,X1,X3)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c175]) ).
cnf(c272,plain,
iext(uri_owl_someValuesFrom,sk18,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi247,axiom,
iext(uri_owl_someValuesFrom,sk18,uri_ex_c) = true,
inference(equality_encoding,[status(esa)],[c272]) ).
cnf(c271,plain,
iext(uri_owl_onProperty,sk18,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(hi246,axiom,
iext(uri_owl_onProperty,sk18,uri_ex_p) = true,
inference(equality_encoding,[status(esa)],[c271]) ).
cnf(h3290,plain,
icext(uri_ex_c,sk17(sk18,uri_ex_p,uri_ex_c,uri_ex_s)) = true,
inference(hyper_resolution,[status(thm)],[hi152,hi247,hi246,h2990]) ).
cnf(c200,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi177,axiom,
ifeq(icext(X0,X1),true,iext(uri_rdf_type,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c200]) ).
cnf(h3450,plain,
iext(uri_rdf_type,sk17(sk18,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) = true,
inference(hyper_resolution,[status(thm)],[hi177,h3290]) ).
cnf(c174,plain,
( iext(X1,X3,sk17(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(hi151,axiom,
ifeq(iext(uri_owl_someValuesFrom,X0,X1),true,ifeq(iext(uri_owl_onProperty,X0,X2),true,ifeq(icext(X0,X3),true,iext(X2,X3,sk17(X0,X2,X1,X3)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h3291,plain,
iext(uri_ex_p,uri_ex_s,sk17(sk18,uri_ex_p,uri_ex_c,uri_ex_s)) = true,
inference(hyper_resolution,[status(thm)],[hi151,hi247,hi246,h2990]) ).
fof(f138,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existent_hb1f032c3cf11d346) ).
fof(f138_neg,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f138]) ).
fof(f138_nnf,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(nnf_transformation,[status(thm)],[f138_neg]) ).
fof(f138_sk,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(skolemisation,[status(esa)],[f138_nnf]) ).
cnf(c266,plain,
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(cnf_transformation,[status(esa)],[f138_sk]) ).
cnf(hi251,negated_conjecture,
ifeq(iext(uri_ex_p,uri_ex_s,X0),true,ifeq(iext(uri_rdf_type,X0,uri_ex_c),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c266]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi251,h3291,h3450]) ).
cnf(t2921,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f0,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f0_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)],[f0]) ).
fof(f0_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)],[f0_nnf]) ).
cnf(c2,plain,
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f5,axiom,
! [Z] :
( iext(uri_owl_unionOf,Z,uri_rdf_nil)
<=> ( ! [X] : ~ icext(Z,X)
& ic(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
fof(f5_nnf,plain,
! [Z] :
( ( ? [X] : icext(Z,X)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ! [X] : ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Z,X] :
( ( icext(Z,sk4(Z))
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,uri_rdf_nil) )
& ( ( ~ icext(Z,X)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f5_nnf]) ).
cnf(c48,plain,
( ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,uri_rdf_nil) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f9,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f9_nnf,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c86,plain,
~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c48,c86,c266]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2921]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 15:23:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.21/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.21/2.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------