%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB018+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 : n020.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 03:03:47 PM UTC 2026
% Result : Theorem 7.33s 1.45s
% Output : Proof 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 65 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 17 |; 8 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 44 ( 2 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f2_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)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c3,plain,
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi3,axiom,
ifeq(iext(uri_owl_sameAs,X0,X1),true,X0,X1) = X1,
inference(equality_encoding,[status(esa)],[c3]) ).
fof(f4,axiom,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Lo_h861924e52b9ae588) ).
fof(f4_nnf,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c7,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi6,axiom,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h0,plain,
uri_ex_u = uri_ex_w,
inference(hyper_resolution,[status(thm)],[hi3,hi6]) ).
cnf(c4,plain,
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi4,axiom,
ifeq(X0,X1,iext(uri_owl_sameAs,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h1,plain,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) = true,
inference(hyper_resolution,[status(thm)],[hi4,h0]) ).
fof(f1,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f1_nnf,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi2,axiom,
ifeq(iext(uri_rdfs_domain,X0,X1),true,ifeq(iext(X0,X2,X3),true,icext(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(c6,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi5,axiom,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h2,plain,
icext(uri_ex_Person,uri_ex_u) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi5,h1]) ).
fof(f0,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/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(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(t1,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person) = true,
inference(hyper_resolution,[status(thm)],[hi1,h2]) ).
cnf(t13,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person) = true,
inference(orient,[status(thm)],[t1]) ).
fof(f3,conjecture,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_hcf4adf78258c2fe4) ).
fof(f3_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person) != true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 15:30:18 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.33/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.33/1.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------