%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:09:18 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,axiom,
! [Y,X] :
( Y = X
| ~ member(Y,singleton(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f292,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f306,plain,
singleton(member_of(x)) = x,
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f307,plain,
member(y,x),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f308,plain,
member_of(x) != y,
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f313,plain,
! [X0] :
( X0 = member_of(x)
| ~ member(X0,x) ),
inference(paramodulation,[status(thm)],[f306,f292]) ).
fof(f318,plain,
y = member_of(x),
inference(resolution,[status(thm)],[f313,f307]) ).
fof(f319,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f318,f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 04:52:19 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.060637 seconds
% 0.13/0.42 % CPU time: 0.150261 seconds
% 0.13/0.42 % Total memory used: 106.215 MB
% 0.13/0.42 % Net memory used: 106.137 MB
%------------------------------------------------------------------------------