TSTP Solution File: SYN009-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:45:41 EDT 2023

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   69 (  36   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   33 (;  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ p(X,Y,Z)
      | ~ t(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ q(X,Y,Z)
      | ~ t(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ r(X,Y,Z)
      | ~ t(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    s(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    t(c,c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ s(X)
      | ~ s(Y)
      | ~ s(Z)
      | p(X,Y,Z)
      | q(Y,Z,X)
      | r(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2)
      | ~ t(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ q(X0,X1,X2)
      | ~ t(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ r(X0,X1,X2)
      | ~ t(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    s(c),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    t(c,c,c),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | p(X0,X1,X2)
      | q(X1,X2,X0)
      | r(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | p(X0,X1,X2)
      | r(X2,X0,X1)
      | ~ t(X2,X0,X1) ),
    inference(resolution,[status(thm)],[f16,f10]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | p(X0,X1,X2)
      | ~ t(X2,X0,X1)
      | ~ t(X1,X2,X0) ),
    inference(resolution,[status(thm)],[f17,f11]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ s(X0)
      | ~ s(X0)
      | ~ s(X0)
      | p(X0,X0,X0)
      | ~ t(X0,X0,X0) ),
    inference(factoring,[status(esa)],[f19]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ s(X0)
      | p(X0,X0,X0)
      | ~ t(X0,X0,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ s(X0)
      | ~ t(X0,X0,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f49,f9]) ).

fof(f51,plain,
    ~ s(c),
    inference(resolution,[status(thm)],[f50,f15]) ).

fof(f52,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f51,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n017.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 09:53:40 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27  % Elapsed time: 0.010464 seconds
% 0.06/0.27  % CPU time: 0.017448 seconds
% 0.06/0.27  % Memory used: 1.832 MB
%------------------------------------------------------------------------------