%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET090-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:09:17 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 34 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X,Y] :
( X = Y
| ~ member(X,universal_class)
| singleton(X) != singleton(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [Y] :
( singleton(member_of(singleton(Y))) = singleton(Y)
| ~ member(Y,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
member_of(singleton(u)) != u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f289,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,universal_class)
| singleton(X0) != singleton(X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f294,plain,
! [X0] :
( singleton(member_of(singleton(X0))) = singleton(X0)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f297,plain,
member(u,universal_class),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f298,plain,
member_of(singleton(u)) != u,
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f339,plain,
singleton(member_of(singleton(u))) = singleton(u),
inference(resolution,[status(thm)],[f294,f297]) ).
fof(f392,plain,
( u = member_of(singleton(u))
| ~ member(u,universal_class) ),
inference(resolution,[status(thm)],[f339,f289]) ).
fof(f406,definition,
( sQ8_spl
<=> member_of(singleton(u)) = u ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ8_spl
| member_of(singleton(u)) = u ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f410,definition,
( sQ9_spl
<=> member(u,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ9_spl
| ~ member(u,universal_class) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( sQ8_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f392,f410,f406]) ).
fof(f432,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f298]) ).
fof(f433,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f297]) ).
fof(f435,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f434]) ).
fof(f436,plain,
$false,
inference(sat_refutation,[status(thm)],[f413,f433,f435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET090-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:56:49 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.41 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.46 % Elapsed time: 0.070930 seconds
% 0.15/5.46 % CPU time: 0.185558 seconds
% 0.15/5.46 % Total memory used: 73.199 MB
% 0.15/5.46 % Net memory used: 73.129 MB
%------------------------------------------------------------------------------