%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB040+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 : n013.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 02:37:14 PM UTC 2026
% Result : Theorem 20.42s 3.12s
% Output : CNFRefutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 145 ( 52 ~; 50 |; 34 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [C,D] :
( iext(uri_rdfs_subClassOf,C,D)
=> ( ! [X] :
( icext(C,X)
=> icext(D,X) )
& ic(D)
& ic(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,axiom,
! [X,Y] :
( iext(uri_owl_complementOf,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f343,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
& iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
& iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f654,plain,
! [C,D] :
( ( ! [X] :
( icext(D,X)
| ~ icext(C,X) )
& ic(D)
& ic(C) )
| ~ iext(uri_rdfs_subClassOf,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f657,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f904,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_complementOf,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f188]) ).
fof(f905,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f1086,plain,
! [Z,C] :
( ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f278]) ).
fof(f1087,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)],[f1086]) ).
fof(f1088,plain,
! [Z,C] :
( ( ! [X] :
( icext(C,X)
| icext(Z,X) )
& ! [X] :
( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(miniscoping,[status(thm)],[f1087]) ).
fof(f1091,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1088]) ).
fof(f1092,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1088]) ).
fof(f1731,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f343]) ).
fof(f1732,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f1731]) ).
fof(f1733,plain,
( ! [C1,C2] :
( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f1732]) ).
fof(f1734,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK115_skl(C2,C1))
& icext(C1,sK115_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115_skl]),skolemize(X,sK115_skl(C2,C1))],[f1733]) ).
fof(f1738,plain,
! [X0,X1] :
( icext(X0,sK115_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1734]) ).
fof(f1739,plain,
! [X0,X1] :
( ~ icext(X1,sK115_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1734]) ).
fof(f2405,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2407,plain,
iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2408,plain,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f5052,plain,
ic(uri_ex_n1),
inference(resolution,[status(thm)],[f905,f2407]) ).
fof(f5053,plain,
ic(uri_ex_n2),
inference(resolution,[status(thm)],[f905,f2406]) ).
fof(f6191,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| ~ icext(uri_ex_n2,X0) ),
inference(resolution,[status(thm)],[f1091,f2406]) ).
fof(f6211,plain,
! [X0] :
( icext(uri_ex_c1,X0)
| icext(uri_ex_n1,X0) ),
inference(resolution,[status(thm)],[f1092,f2407]) ).
fof(f7087,plain,
! [X0] :
( icext(uri_ex_c2,X0)
| ~ icext(uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f2408,f657]) ).
fof(f7121,plain,
! [X0] :
( icext(uri_ex_n1,X0)
| icext(uri_ex_c2,X0) ),
inference(resolution,[status(thm)],[f7087,f6211]) ).
fof(f7122,plain,
! [X0] :
( ~ icext(uri_ex_n2,X0)
| icext(uri_ex_n1,X0) ),
inference(resolution,[status(thm)],[f7121,f6191]) ).
fof(f10857,plain,
! [X0] :
( icext(uri_ex_n2,sK115_skl(X0,uri_ex_n2))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_n2,X0) ),
inference(resolution,[status(thm)],[f1738,f5053]) ).
fof(f12136,plain,
( icext(uri_ex_n2,sK115_skl(uri_ex_n1,uri_ex_n2))
| iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1) ),
inference(resolution,[status(thm)],[f10857,f5052]) ).
fof(f12206,plain,
icext(uri_ex_n2,sK115_skl(uri_ex_n1,uri_ex_n2)),
inference(forward_subsumption_resolution,[status(thm)],[f12136,f2405]) ).
fof(f12375,plain,
icext(uri_ex_n1,sK115_skl(uri_ex_n1,uri_ex_n2)),
inference(resolution,[status(thm)],[f12206,f7122]) ).
fof(f12378,plain,
( ~ ic(uri_ex_n1)
| ~ ic(uri_ex_n2)
| iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1) ),
inference(resolution,[status(thm)],[f12375,f1739]) ).
fof(f12381,plain,
( ~ ic(uri_ex_n1)
| ~ ic(uri_ex_n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f12378,f2405]) ).
fof(f12632,plain,
~ ic(uri_ex_n1),
inference(forward_subsumption_resolution,[status(thm)],[f12381,f5053]) ).
fof(f12633,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f5052,f12632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB040+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:42:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.41 % Drodi V4.1.1
% 20.42/3.12 % Refutation found
% 20.42/3.12 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.42/3.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.49/3.16 % Elapsed time: 2.776687 seconds
% 6.49/3.16 % CPU time: 21.454122 seconds
% 6.49/3.16 % Total memory used: 211.426 MB
% 6.49/3.16 % Net memory used: 201.866 MB
%------------------------------------------------------------------------------