TSTP Solution File: KRS012-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS012-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:24:36 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  23   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c(exists),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ f(exists),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X3,X1] :
      ( e(X3)
      | ~ c(X1)
      | ~ r(X1,X3)
      | ~ d(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X2,X1] :
      ( d(X2)
      | ~ c(X1)
      | ~ r(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X1] :
      ( f(X1)
      | ~ e(u1r1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X1] :
      ( f(X1)
      | r(X1,u1r1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,plain,
    c(exists),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f15,plain,
    ~ f(exists),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    ! [X3] :
      ( ! [X1] :
          ( e(X3)
          | ~ c(X1)
          | ~ r(X1,X3) )
      | ~ d(X3) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( e(X0)
      | ~ c(X1)
      | ~ r(X1,X0)
      | ~ d(X0) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( d(X0)
      | ~ c(X1)
      | ~ r(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f26,plain,
    ! [X0] :
      ( f(X0)
      | ~ e(u1r1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f27,plain,
    ! [X0] :
      ( f(X0)
      | r(X0,u1r1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f28,plain,
    ! [X0] :
      ( f(X0)
      | e(u1r1(X0))
      | ~ c(X0)
      | ~ d(u1r1(X0)) ),
    inference(resolution,[status(thm)],[f27,f17]) ).

fof(f29,plain,
    ! [X0] :
      ( f(X0)
      | ~ c(X0)
      | ~ d(u1r1(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f28,f26]) ).

fof(f31,plain,
    ! [X0] :
      ( d(u1r1(X0))
      | ~ c(X0)
      | f(X0) ),
    inference(resolution,[status(thm)],[f18,f27]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ c(X0)
      | f(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f31,f29]) ).

fof(f33,plain,
    f(exists),
    inference(resolution,[status(thm)],[f32,f14]) ).

fof(f34,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f33,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS012-1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n018.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Apr 29 23:36:43 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.015946 seconds
% 0.12/0.37  % CPU time: 0.026096 seconds
% 0.12/0.37  % Total memory used: 1.935 MB
% 0.12/0.37  % Net memory used: 1.842 MB
%------------------------------------------------------------------------------