TSTP Solution File: SYN986+1.000 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 : Wed May 31 12:48:33 EDT 2023

% Result   : Theorem 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (;   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Y] : r(Y,zero,succ(Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ? [Z0] : r(zero,zero,Z0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ? [Z0] : r(zero,zero,Z0),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ! [X0] : r(X0,zero,succ(X0)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [Z0] : ~ r(zero,zero,Z0),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] : ~ r(zero,zero,X0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    $false,
    inference(resolution,[status(thm)],[f5,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:57:59 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.58  % Refutation found
% 0.19/0.58  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58  % Elapsed time: 0.014813 seconds
% 0.19/0.58  % CPU time: 0.016349 seconds
% 0.19/0.58  % Memory used: 1.762 MB
%------------------------------------------------------------------------------