TSTP Solution File: SYN063-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN063-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:51:11 EDT 2024

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   7   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( big_p(c)
    | ~ big_p(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    big_p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ big_p(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ( big_p(c)
    | ~ big_p(a) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    big_p(a),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ~ big_p(c),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ( spl0_0
  <=> big_p(c) ),
    introduced(split_symbol_definition) ).

fof(f8,plain,
    ( big_p(c)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f7]) ).

fof(f10,plain,
    ( spl0_1
  <=> big_p(a) ),
    introduced(split_symbol_definition) ).

fof(f12,plain,
    ( ~ big_p(a)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f10]) ).

fof(f13,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f4,f7,f10]) ).

fof(f14,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f12,f5]) ).

fof(f15,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f14]) ).

fof(f16,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f8,f6]) ).

fof(f17,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f16]) ).

fof(f18,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f13,f15,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN063-2 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 21:58:43 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.018312 seconds
% 0.21/0.38  % CPU time: 0.017310 seconds
% 0.21/0.38  % Total memory used: 3.632 MB
% 0.21/0.38  % Net memory used: 3.527 MB
%------------------------------------------------------------------------------