%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:37:07 PM UTC 2026
% Result : Theorem 0.13s 5.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 70 ( 7 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 79 ( 31 ~; 24 |; 21 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ! [X,Y] :
~ ( iext(P2,X,Y)
& iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X,Y] :
( ( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
( ! [X,Y] :
( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ! [X,Y] :
( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( X0 = X1
| iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,plain,
! [P1,P2] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ! [X,Y] :
( ~ iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [P1,P2] :
( ( ? [X,Y] :
( iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_propertyDisjointWith,P1,P2) )
& ( ( ! [X,Y] :
( ~ iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( ! [P1,P2] :
( ? [X,Y] :
( iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_propertyDisjointWith,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
( ! [P1,P2] :
( ( iext(P2,sK0_skl(P2,P1),sK1_skl(P2,P1))
& iext(P1,sK0_skl(P2,P1),sK1_skl(P2,P1)) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_propertyDisjointWith,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl(P2,P1)),skolemize(Y,sK1_skl(P2,P1))],[f12]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f19,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f9,f19]) ).
fof(f27,plain,
iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
inference(forward_demodulation,[status(thm)],[f24,f22]) ).
fof(f28,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| ~ iext(uri_ex_notInstanceOf,X0,X1) ),
inference(resolution,[status(thm)],[f20,f16]) ).
fof(f29,plain,
~ iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f29,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n006.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 07:39:35 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.43 % Elapsed time: 0.051211 seconds
% 0.13/5.43 % CPU time: 0.148254 seconds
% 0.13/5.43 % Total memory used: 79.913 MB
% 0.13/5.43 % Net memory used: 79.375 MB
%------------------------------------------------------------------------------