%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET027-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 1 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f101,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f103,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f214,plain,
subclass(x,y),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f215,plain,
subclass(y,z),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f216,plain,
~ subclass(x,z),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f220,plain,
! [X0] :
( member(X0,z)
| ~ member(X0,y) ),
inference(resolution,[status(thm)],[f101,f215]) ).
fof(f221,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[status(thm)],[f101,f214]) ).
fof(f244,plain,
! [X0] :
( member(not_subclass_element(x,X0),y)
| subclass(x,X0) ),
inference(resolution,[status(thm)],[f102,f221]) ).
fof(f247,plain,
! [X0] :
( member(not_subclass_element(x,X0),z)
| subclass(x,X0) ),
inference(resolution,[status(thm)],[f244,f220]) ).
fof(f301,plain,
( subclass(x,z)
| subclass(x,z) ),
inference(resolution,[status(thm)],[f247,f103]) ).
fof(f303,definition,
( sQ12_spl
<=> subclass(x,z) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ12_spl
| subclass(x,z) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
sQ12_spl,
inference(split_clause,[status(thm)],[f301,f303]) ).
fof(f307,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f216]) ).
fof(f308,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f307]) ).
fof(f309,plain,
$false,
inference(sat_refutation,[status(thm)],[f306,f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET027-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:39:58 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.51 % Refutation found
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.53 % Elapsed time: 0.079568 seconds
% 0.24/0.53 % CPU time: 0.099907 seconds
% 0.24/0.53 % Total memory used: 3.331 MB
% 0.24/0.53 % Net memory used: 3.326 MB
%------------------------------------------------------------------------------