%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:07:30 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : codomain(domain(X)) = domain(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : domain(codomain(X)) = codomain(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
codomain(codomain(a)) != codomain(a),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0] : codomain(codomain(X0)) = domain(codomain(X0)),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f22,plain,
codomain(a) != codomain(a),
inference(backward_demodulation,[status(thm)],[f23,f16]) ).
fof(f23,plain,
! [X0] : codomain(codomain(X0)) = codomain(X0),
inference(forward_demodulation,[status(thm)],[f10,f19]) ).
fof(f24,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:58:53 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.042937 seconds
% 0.15/0.42 % CPU time: 0.121548 seconds
% 0.15/0.42 % Total memory used: 45.702 MB
% 0.15/0.42 % Net memory used: 45.279 MB
%------------------------------------------------------------------------------