%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET016-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:08:52 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 2 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,axiom,
! [W,X,Y,Z] :
( W = Y
| ~ member(W,universal_class)
| ordered_pair(W,X) != ordered_pair(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f167,negated_conjecture,
member(w,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f168,negated_conjecture,
w != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f350,plain,
! [W,Y] :
( W = Y
| ~ member(W,universal_class)
| ! [X,Z] : ordered_pair(W,X) != ordered_pair(Y,Z) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ member(X0,universal_class)
| ordered_pair(X0,X1) != ordered_pair(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f367,plain,
ordered_pair(w,x) = ordered_pair(y,z),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f368,plain,
member(w,universal_class),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f369,plain,
w != y,
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f374,plain,
( w = y
| ~ member(w,universal_class) ),
inference(resolution,[status(thm)],[f351,f367]) ).
fof(f379,definition,
( sQ0_spl
<=> member(w,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( sQ0_spl
| ~ member(w,universal_class) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ1_spl
<=> w = y ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ1_spl
| w = y ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f374,f379,f382]) ).
fof(f394,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f369]) ).
fof(f395,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f368]) ).
fof(f397,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f398,plain,
$false,
inference(sat_refutation,[status(thm)],[f385,f395,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET016-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:44:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.053204 seconds
% 0.14/0.43 % CPU time: 0.140215 seconds
% 0.14/0.43 % Total memory used: 80.653 MB
% 0.14/0.43 % Net memory used: 80.578 MB
%------------------------------------------------------------------------------