TSTP Solution File: SYN123-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN123-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:51:23 EDT 2024

% Result   : Unsatisfiable 0.08s 0.30s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  20   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X] : p0(b,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X,Y] : m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [J,A] :
      ( m1(J,J,J)
      | ~ m0(A,A,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f172,axiom,
    ! [G,H,I] :
      ( l2(G,G)
      | ~ m0(H,G,I)
      | ~ m1(I,H,H)
      | ~ p0(H,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l2(d,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f383,plain,
    ! [X0] : p0(b,X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f388,plain,
    ! [X0,X1] : m0(X0,d,X1),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f417,plain,
    ! [J] :
      ( m1(J,J,J)
      | ! [A] : ~ m0(A,A,J) ),
    inference(miniscoping,[status(esa)],[f44]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( m1(X0,X0,X0)
      | ~ m0(X1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f417]) ).

fof(f621,plain,
    ! [G,H] :
      ( ! [I] :
          ( l2(G,G)
          | ~ m0(H,G,I)
          | ~ m1(I,H,H) )
      | ~ p0(H,G) ),
    inference(miniscoping,[status(esa)],[f172]) ).

fof(f622,plain,
    ! [X0,X1,X2] :
      ( l2(X0,X0)
      | ~ m0(X1,X0,X2)
      | ~ m1(X2,X1,X1)
      | ~ p0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f621]) ).

fof(f924,plain,
    ~ l2(d,d),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1992,plain,
    ! [X0,X1] :
      ( ~ m0(X0,d,X1)
      | ~ m1(X1,X0,X0)
      | ~ p0(X0,d) ),
    inference(resolution,[status(thm)],[f622,f924]) ).

fof(f1993,plain,
    ! [X0] :
      ( ~ m0(b,d,X0)
      | ~ m1(X0,b,b) ),
    inference(resolution,[status(thm)],[f383,f1992]) ).

fof(f1994,plain,
    ! [X0] : ~ m1(X0,b,b),
    inference(backward_subsumption_resolution,[status(thm)],[f1993,f388]) ).

fof(f2083,plain,
    ! [X0] : m1(X0,X0,X0),
    inference(resolution,[status(thm)],[f418,f388]) ).

fof(f2086,plain,
    $false,
    inference(resolution,[status(thm)],[f2083,f1994]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : SYN123-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Mon Apr 29 22:12:05 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.08/0.30  % Drodi V3.6.0
% 0.08/0.30  % Refutation found
% 0.08/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.31  % Elapsed time: 0.027552 seconds
% 0.12/0.31  % CPU time: 0.054167 seconds
% 0.12/0.31  % Total memory used: 12.196 MB
% 0.12/0.31  % Net memory used: 12.155 MB
%------------------------------------------------------------------------------