TSTP Solution File: CAT014-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:13:21 EDT 2024

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% 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/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] : domain(codomain(X)) = codomain(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    codomain(codomain(a)) != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0] : codomain(domain(X0)) = domain(X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0] : domain(codomain(X0)) = codomain(X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    codomain(codomain(a)) != codomain(a),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f20,plain,
    ! [X0] : codomain(codomain(X0)) = domain(codomain(X0)),
    inference(paramodulation,[status(thm)],[f10,f9]) ).

fof(f21,plain,
    ! [X0] : codomain(codomain(X0)) = codomain(X0),
    inference(forward_demodulation,[status(thm)],[f10,f20]) ).

fof(f29,plain,
    codomain(a) != codomain(a),
    inference(backward_demodulation,[status(thm)],[f21,f16]) ).

fof(f30,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:19:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.023319 seconds
% 0.21/0.38  % CPU time: 0.031744 seconds
% 0.21/0.38  % Total memory used: 8.180 MB
% 0.21/0.38  % Net memory used: 8.007 MB
%------------------------------------------------------------------------------