%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB009+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 03:03:43 PM UTC 2026
% Result : Theorem 3.71s 0.91s
% Output : Proof 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 91 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 84 ( 31 ~; 25 |; 25 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 54 ( 0 sgn 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(c0,plain,
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(iext(uri_rdf_type,X0,X1),true,icext(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_h3bd2202643e0a31a) ).
fof(f3_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)],[f3]) ).
fof(f3_sk,plain,
( iext(uri_owl_someValuesFrom,sk1,uri_ex_c)
& iext(uri_owl_onProperty,sk1,uri_ex_p)
& iext(uri_rdf_type,sk1,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_s,sk1)
& 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,[sk1])],[f3_nnf]) ).
cnf(c8,plain,
iext(uri_rdf_type,uri_ex_s,sk1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi7,axiom,
iext(uri_rdf_type,uri_ex_s,sk1) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h2,plain,
icext(sk1,uri_ex_s) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi7]) ).
fof(f1,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/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f1_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)],[f1]) ).
fof(f1_sk,plain,
! [Z,C,P,X,Y] :
( ( ( ~ icext(C,Y)
| ~ iext(P,X,Y)
| icext(Z,X) )
& ( ( icext(C,sk0(Z,P,C,X))
& iext(P,X,sk0(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,[sk0])],[f1_nnf]) ).
cnf(c3,plain,
( icext(X2,sk0(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi3,axiom,
ifeq(iext(uri_owl_someValuesFrom,X0,X1),true,ifeq(iext(uri_owl_onProperty,X0,X2),true,ifeq(icext(X0,X3),true,icext(X1,sk0(X0,X2,X1,X3)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(c11,plain,
iext(uri_owl_someValuesFrom,sk1,uri_ex_c),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi10,axiom,
iext(uri_owl_someValuesFrom,sk1,uri_ex_c) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(c10,plain,
iext(uri_owl_onProperty,sk1,uri_ex_p),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi9,axiom,
iext(uri_owl_onProperty,sk1,uri_ex_p) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h4,plain,
icext(uri_ex_c,sk0(sk1,uri_ex_p,uri_ex_c,uri_ex_s)) = true,
inference(hyper_resolution,[status(thm)],[hi3,hi10,hi9,h2]) ).
cnf(c1,plain,
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi1,axiom,
ifeq(icext(X0,X1),true,iext(uri_rdf_type,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h6,plain,
iext(uri_rdf_type,sk0(sk1,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) = true,
inference(hyper_resolution,[status(thm)],[hi1,h4]) ).
cnf(c2,plain,
( iext(X1,X3,sk0(X0,X1,X2,X3))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_someValuesFrom,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi2,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,sk0(X0,X2,X1,X3)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h5,plain,
iext(uri_ex_p,uri_ex_s,sk0(sk1,uri_ex_p,uri_ex_c,uri_ex_s)) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi10,hi9,h2]) ).
fof(f2,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_c)
& iext(uri_ex_p,uri_ex_s,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existent_hb1f032c3cf11d346) ).
fof(f2_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)],[f2]) ).
fof(f2_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)],[f2_neg]) ).
fof(f2_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)],[f2_nnf]) ).
cnf(c5,plain,
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi11,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)],[c5]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi11,h5,h6]) ).
cnf(t88,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t88]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 15:26:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.71/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.71/0.91 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------