%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET057-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:09:05 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 41 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
~ member(not_subclass_element(y,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f104,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
member(not_subclass_element(x,y),y),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f218,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f219,plain,
~ member(not_subclass_element(y,x),y),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f223,plain,
subclass(y,x),
inference(resolution,[status(thm)],[f103,f219]) ).
fof(f224,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f104,f217]) ).
fof(f253,plain,
( y = x
| ~ subclass(y,x) ),
inference(resolution,[status(thm)],[f108,f224]) ).
fof(f257,definition,
( sQ4_spl
<=> subclass(y,x) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ4_spl
| ~ subclass(y,x) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ5_spl
<=> y = x ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ5_spl
| y = x ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f253,f257,f260]) ).
fof(f268,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f261,f218]) ).
fof(f269,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f223]) ).
fof(f271,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f270]) ).
fof(f272,plain,
$false,
inference(sat_refutation,[status(thm)],[f263,f269,f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET057-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:49:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.044860 seconds
% 0.13/0.41 % CPU time: 0.085469 seconds
% 0.13/0.41 % Total memory used: 13.153 MB
% 0.13/0.41 % Net memory used: 13.145 MB
%------------------------------------------------------------------------------