%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:08:54 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% 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(f152,axiom,
! [W,X,Y,Z] :
( X = Z
| ~ member(X,universal_class)
| ordered_pair(W,X) != ordered_pair(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f168,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f169,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,plain,
! [X,Z] :
( X = Z
| ~ member(X,universal_class)
| ! [W,Y] : ordered_pair(W,X) != ordered_pair(Y,Z) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f355,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ member(X1,universal_class)
| ordered_pair(X0,X1) != ordered_pair(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f373,plain,
ordered_pair(w,x) = ordered_pair(y,z),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f374,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f375,plain,
x != z,
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f399,plain,
( x = z
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f355,f373]) ).
fof(f404,definition,
( sQ4_spl
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ4_spl
| ~ member(x,universal_class) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ5_spl
<=> x = z ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ5_spl
| x = z ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f399,f404,f407]) ).
fof(f419,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f375]) ).
fof(f420,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f406,f374]) ).
fof(f422,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f421]) ).
fof(f423,plain,
$false,
inference(sat_refutation,[status(thm)],[f410,f420,f422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.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 04:45:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.053285 seconds
% 0.14/0.42 % CPU time: 0.142918 seconds
% 0.14/0.42 % Total memory used: 107.572 MB
% 0.14/0.42 % Net memory used: 107.475 MB
%------------------------------------------------------------------------------