%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 02:08:58 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 22 ~; 19 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X,Y,Z] :
( ( subclass(Y,Z)
& subclass(X,Y) )
=> subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X,Y,Z] :
( ( subclass(Y,Z)
& subclass(X,Y) )
=> subclass(X,Z) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,Y)
| ~ member(U,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
! [X,Y] :
( ( ? [U] :
( ~ member(U,Y)
& member(U,X) )
| subclass(X,Y) )
& ( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
( ! [X,Y] :
( ? [U] :
( ~ member(U,Y)
& member(U,X) )
| subclass(X,Y) )
& ! [X,Y] :
( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
( ! [X,Y] :
( ( ~ member(sK0_skl(Y,X),Y)
& member(sK0_skl(Y,X),X) )
| subclass(X,Y) )
& ! [X,Y] :
( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK0_skl(X1,X0),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK0_skl(X1,X0),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f191,plain,
? [X,Y,Z] :
( ~ subclass(X,Z)
& subclass(Y,Z)
& subclass(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
? [X,Z] :
( ~ subclass(X,Z)
& ? [Y] :
( subclass(Y,Z)
& subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
( ~ subclass(sK7_skl,sK8_skl)
& subclass(sK9_skl,sK8_skl)
& subclass(sK7_skl,sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK7_skl),skolemize(Z,sK8_skl),skolemize(Y,sK9_skl)],[f192]) ).
fof(f194,plain,
subclass(sK7_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
subclass(sK9_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
~ subclass(sK7_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f203,plain,
! [X0] :
( member(X0,sK8_skl)
| ~ member(X0,sK9_skl) ),
inference(resolution,[status(thm)],[f50,f195]) ).
fof(f204,plain,
! [X0] :
( member(X0,sK9_skl)
| ~ member(X0,sK7_skl) ),
inference(resolution,[status(thm)],[f50,f194]) ).
fof(f213,plain,
! [X0] :
( member(X0,sK8_skl)
| ~ member(X0,sK7_skl) ),
inference(resolution,[status(thm)],[f204,f203]) ).
fof(f223,plain,
! [X0] :
( subclass(X0,sK8_skl)
| ~ member(sK0_skl(sK8_skl,X0),sK7_skl) ),
inference(resolution,[status(thm)],[f213,f52]) ).
fof(f228,plain,
( subclass(sK7_skl,sK8_skl)
| subclass(sK7_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f223,f51]) ).
fof(f229,plain,
subclass(sK7_skl,sK8_skl),
inference(duplicate_literals_removal,[status(thm)],[f228]) ).
fof(f230,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f229,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:46:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.052478 seconds
% 0.10/0.44 % CPU time: 0.155167 seconds
% 0.10/0.44 % Total memory used: 104.707 MB
% 0.10/0.44 % Net memory used: 104.616 MB
%------------------------------------------------------------------------------