%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] :
( element(X,X)
| ~ element(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X] :
( element(X,a)
| ~ element(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y,X] :
( ~ element(Y,X)
| ~ element(Y,f(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y,X] :
( element(Y,f(X))
| element(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0] :
( element(X0,X0)
| ~ element(X0,a) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0] :
( element(X0,a)
| ~ element(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( ~ element(X0,X1)
| ~ element(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1] :
( element(X0,f(X1))
| element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0] :
( element(f(X0),a)
| element(f(X0),X0) ),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f12,plain,
element(f(a),f(a)),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f23,plain,
~ element(f(a),a),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f24,plain,
element(f(a),a),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f28,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f23,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n013.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:47:21 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.056195 seconds
% 0.16/0.49 % CPU time: 0.131722 seconds
% 0.16/0.49 % Total memory used: 13.362 MB
% 0.16/0.49 % Net memory used: 12.863 MB
%------------------------------------------------------------------------------