%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:09:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( ~ element(X,X)
| ~ element(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( element(X,f(Y))
| element(X,X)
| ~ element(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X] : element(X,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X] :
( ~ element(X,X)
| ! [Y] : ~ element(X,f(Y)) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( ~ element(X0,X0)
| ~ element(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( element(X0,f(X1))
| element(X0,X0)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : element(X0,a),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0] :
( element(X0,f(a))
| element(X0,X0) ),
inference(resolution,[status(thm)],[f8,f9]) ).
fof(f12,plain,
! [X0] :
( ~ element(f(X0),f(X0))
| element(f(X0),f(a)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f20,plain,
! [X0] : ~ element(f(X0),f(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f12,f7]) ).
fof(f29,plain,
$false,
inference(resolution,[status(thm)],[f20,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 04:49:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.037083 seconds
% 0.14/0.42 % CPU time: 0.100383 seconds
% 0.14/0.42 % Total memory used: 13.362 MB
% 0.14/0.42 % Net memory used: 12.884 MB
%------------------------------------------------------------------------------