%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB100+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 02:37:20 PM UTC 2026
% Result : Theorem 1.96s 1.18s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 105 ( 46 ~; 40 |; 15 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 61 ( 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f340,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') ).
fof(f559,conjecture,
? [X0] :
( iext(uri_ex_p,uri_ex_w,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ? [X0] :
( iext(uri_ex_p,uri_ex_w,X0)
& iext(uri_rdf_type,X0,uri_ex_c) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,uri_ex_z,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f592,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)],[f25]) ).
fof(f593,plain,
( ! [X,C] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ! [X,C] :
( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(miniscoping,[status(thm)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1706,plain,
! [Z,P,C] :
( ! [X] :
( icext(Z,X)
<=> ? [Y] :
( icext(C,Y)
& iext(P,X,Y) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f340]) ).
fof(f1707,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)],[f1706]) ).
fof(f1708,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [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(miniscoping,[status(thm)],[f1707]) ).
fof(f1709,plain,
! [Z,P,C] :
( ( ! [X] :
( ! [Y] :
( ~ icext(C,Y)
| ~ iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ( icext(C,sK110_skl(X,C,P,Z))
& iext(P,X,sK110_skl(X,C,P,Z)) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_someValuesFrom,Z,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110_skl]),skolemize(Y,sK110_skl(X,C,P,Z))],[f1708]) ).
fof(f1710,plain,
! [X0,X1,X2,X3] :
( iext(X2,X3,sK110_skl(X3,X1,X2,X0))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1709]) ).
fof(f1711,plain,
! [X0,X1,X2,X3] :
( icext(X1,sK110_skl(X3,X1,X2,X0))
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1709]) ).
fof(f2405,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
iext(uri_owl_someValuesFrom,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2408,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2409,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2522,plain,
icext(uri_ex_z,uri_ex_w),
inference(resolution,[status(thm)],[f2409,f594]) ).
fof(f2611,plain,
! [X0,X1] :
( iext(uri_ex_p,X1,sK110_skl(X1,X0,uri_ex_p,uri_ex_z))
| ~ icext(uri_ex_z,X1)
| ~ iext(uri_owl_someValuesFrom,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f1710,f2408]) ).
fof(f2612,plain,
! [X0,X1] :
( icext(X0,sK110_skl(X1,X0,uri_ex_p,uri_ex_z))
| ~ icext(uri_ex_z,X1)
| ~ iext(uri_owl_someValuesFrom,uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f1711,f2408]) ).
fof(f2620,plain,
! [X0] :
( iext(uri_ex_p,X0,sK110_skl(X0,uri_ex_c,uri_ex_p,uri_ex_z))
| ~ icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2611,f2407]) ).
fof(f2635,plain,
! [X0] :
( icext(uri_ex_c,sK110_skl(X0,uri_ex_c,uri_ex_p,uri_ex_z))
| ~ icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2612,f2407]) ).
fof(f2645,plain,
! [X0] :
( iext(uri_rdf_type,sK110_skl(X0,uri_ex_c,uri_ex_p,uri_ex_z),uri_ex_c)
| ~ icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2635,f595]) ).
fof(f2646,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_w,sK110_skl(X0,uri_ex_c,uri_ex_p,uri_ex_z))
| ~ icext(uri_ex_z,X0) ),
inference(resolution,[status(thm)],[f2645,f2406]) ).
fof(f2658,plain,
( ~ icext(uri_ex_z,uri_ex_w)
| ~ icext(uri_ex_z,uri_ex_w) ),
inference(resolution,[status(thm)],[f2646,f2620]) ).
fof(f2659,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(duplicate_literals_removal,[status(thm)],[f2658]) ).
fof(f2660,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2659,f2522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB100+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n007.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 07:45:21 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.27/0.52 % Drodi V4.1.1
% 1.96/1.18 % Refutation found
% 1.96/1.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.96/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.96/1.21 % Elapsed time: 0.755853 seconds
% 1.96/1.21 % CPU time: 5.016252 seconds
% 1.96/1.21 % Total memory used: 167.792 MB
% 1.96/1.21 % Net memory used: 163.610 MB
%------------------------------------------------------------------------------