%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET084-7 : 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 02:09:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 2 def)
% Number of atoms : 35 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,axiom,
! [X] :
( member(X,singleton(X))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [Y,X] :
( Y = X
| ~ member(Y,singleton(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f278,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f281,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f283,plain,
singleton(x) = singleton(y),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f284,plain,
member(y,universal_class),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f285,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f296,plain,
! [X0] :
( X0 = x
| ~ member(X0,singleton(y)) ),
inference(paramodulation,[status(thm)],[f283,f281]) ).
fof(f348,plain,
( y = x
| ~ member(y,universal_class) ),
inference(resolution,[status(thm)],[f278,f296]) ).
fof(f352,definition,
( sQ0_spl
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ0_spl
| ~ member(y,universal_class) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ1_spl
<=> y = x ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ1_spl
| y = x ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f348,f352,f355]) ).
fof(f366,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f284]) ).
fof(f367,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f285]) ).
fof(f369,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f370,plain,
$false,
inference(sat_refutation,[status(thm)],[f358,f367,f369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET084-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.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 04:56:29 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.058889 seconds
% 0.12/0.43 % CPU time: 0.169130 seconds
% 0.12/0.43 % Total memory used: 106.219 MB
% 0.12/0.43 % Net memory used: 106.159 MB
%------------------------------------------------------------------------------