%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET059-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:09:06 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.60s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 2 def)
% Number of atoms : 37 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f200,plain,
member(not_subclass_element(x,y),y),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f201,plain,
member(not_subclass_element(y,x),x),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f202,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f206,plain,
subclass(y,x),
inference(resolution,[status(thm)],[f98,f201]) ).
fof(f207,plain,
subclass(x,y),
inference(resolution,[status(thm)],[f98,f200]) ).
fof(f217,plain,
( y = x
| ~ subclass(y,x) ),
inference(resolution,[status(thm)],[f102,f207]) ).
fof(f221,definition,
( sQ0_spl
<=> subclass(y,x) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ0_spl
| ~ subclass(y,x) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ1_spl
<=> y = x ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ1_spl
| y = x ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f217,f221,f224]) ).
fof(f232,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f202]) ).
fof(f233,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f206]) ).
fof(f235,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f234]) ).
fof(f236,plain,
$false,
inference(sat_refutation,[status(thm)],[f227,f233,f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET059-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n017.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 04:43:41 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.11/0.60 % Refutation found
% 0.11/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.63 % Elapsed time: 0.047873 seconds
% 0.13/0.63 % CPU time: 0.129419 seconds
% 0.13/0.63 % Total memory used: 68.640 MB
% 0.13/0.63 % Net memory used: 68.599 MB
%------------------------------------------------------------------------------