%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:09:08 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [X] : subclass(null_class,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f229,plain,
! [X0] : subclass(null_class,X0),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f230,plain,
subclass(x,null_class),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f231,plain,
x != null_class,
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f240,plain,
( null_class = x
| ~ subclass(null_class,x) ),
inference(resolution,[status(thm)],[f114,f230]) ).
fof(f243,definition,
( sQ0_spl
<=> subclass(null_class,x) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( sQ0_spl
| ~ subclass(null_class,x) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ1_spl
<=> null_class = x ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ1_spl
| null_class = x ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f240,f243,f246]) ).
fof(f259,plain,
( sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f245,f229]) ).
fof(f262,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f263,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f231]) ).
fof(f264,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f265,plain,
$false,
inference(sat_refutation,[status(thm)],[f249,f262,f264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:48:46 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.056072 seconds
% 0.12/0.43 % CPU time: 0.159852 seconds
% 0.12/0.43 % Total memory used: 105.020 MB
% 0.12/0.43 % Net memory used: 104.954 MB
%------------------------------------------------------------------------------