TSTP Solution File: SYN310-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN310-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:51:49 EDT 2024

% Result   : Unsatisfiable 0.22s 0.36s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  17 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X1,X] :
      ( ~ p(X2,X1,X)
      | p(X,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X1,X,X2] :
      ( ~ p(X1,X,X2)
      | p(X,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,X1,X2] :
      ( ~ p(X,X1,g(X2))
      | p(X,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X,X1,X2] :
      ( ~ p(f(X),X1,X2)
      | p(X,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ p(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    p(f(g(a)),f(g(b)),f(g(c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2)
      | p(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2)
      | p(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,g(X2))
      | p(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ p(f(X0),X1,X2)
      | p(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ~ p(a,b,c),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    p(f(g(a)),f(g(b)),f(g(c))),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f13,plain,
    p(g(a),f(g(b)),f(g(c))),
    inference(resolution,[status(thm)],[f12,f10]) ).

fof(f16,plain,
    p(f(g(b)),g(a),f(g(c))),
    inference(resolution,[status(thm)],[f13,f8]) ).

fof(f18,plain,
    p(g(b),g(a),f(g(c))),
    inference(resolution,[status(thm)],[f16,f10]) ).

fof(f22,plain,
    p(f(g(c)),g(a),g(b)),
    inference(resolution,[status(thm)],[f18,f7]) ).

fof(f25,plain,
    p(g(c),g(a),g(b)),
    inference(resolution,[status(thm)],[f22,f10]) ).

fof(f29,plain,
    p(g(c),g(a),b),
    inference(resolution,[status(thm)],[f25,f9]) ).

fof(f33,plain,
    p(b,g(a),g(c)),
    inference(resolution,[status(thm)],[f29,f7]) ).

fof(f36,plain,
    p(b,g(a),c),
    inference(resolution,[status(thm)],[f33,f9]) ).

fof(f39,plain,
    p(g(a),b,c),
    inference(resolution,[status(thm)],[f36,f8]) ).

fof(f48,plain,
    p(c,b,g(a)),
    inference(resolution,[status(thm)],[f39,f7]) ).

fof(f51,plain,
    p(c,b,a),
    inference(resolution,[status(thm)],[f48,f9]) ).

fof(f55,plain,
    p(a,b,c),
    inference(resolution,[status(thm)],[f51,f7]) ).

fof(f56,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f55,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN310-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:59:47 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.22/0.36  % Refutation found
% 0.22/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.38  % Elapsed time: 0.019466 seconds
% 0.22/0.38  % CPU time: 0.023247 seconds
% 0.22/0.38  % Total memory used: 5.548 MB
% 0.22/0.38  % Net memory used: 5.479 MB
%------------------------------------------------------------------------------