TSTP Solution File: PUZ047-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:31:54 EDT 2023

% Result   : Unsatisfiable 0.15s 0.56s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   33 (  21   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    p(south,south,south,south,start),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [A] :
      ( p(south,north,south,north,go_alone(A))
      | ~ p(north,north,south,north,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [A] :
      ( p(south,south,north,south,go_alone(A))
      | ~ p(north,south,north,south,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [A] :
      ( p(north,north,south,north,take_wolf(A))
      | ~ p(south,south,south,north,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [A,B,C] :
      ( p(north,A,north,B,take_goat(C))
      | ~ p(south,A,south,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [A,B,C] :
      ( p(south,A,south,B,take_goat(C))
      | ~ p(north,A,north,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ! [A] :
      ( p(north,south,north,north,take_cabbage(A))
      | ~ p(south,south,north,south,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ! [A] : ~ p(north,north,north,north,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    p(south,south,south,south,start),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0] :
      ( p(south,north,south,north,go_alone(X0))
      | ~ p(north,north,south,north,X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f21,plain,
    ! [X0] :
      ( p(south,south,north,south,go_alone(X0))
      | ~ p(north,south,north,south,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f22,plain,
    ! [X0] :
      ( p(north,north,south,north,take_wolf(X0))
      | ~ p(south,south,south,north,X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( p(north,X0,north,X1,take_goat(X2))
      | ~ p(south,X0,south,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( p(south,X0,south,X1,take_goat(X2))
      | ~ p(north,X0,north,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f30,plain,
    ! [X0] :
      ( p(north,south,north,north,take_cabbage(X0))
      | ~ p(south,south,north,south,X0) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f32,plain,
    ! [X0] : ~ p(north,north,north,north,X0),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f33,plain,
    ! [X0] : ~ p(south,north,south,north,X0),
    inference(resolution,[status(thm)],[f26,f32]) ).

fof(f34,plain,
    ! [X0] : ~ p(north,north,south,north,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f19,f33]) ).

fof(f36,plain,
    ! [X0] : ~ p(south,south,south,north,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f22,f34]) ).

fof(f37,plain,
    ! [X0] : ~ p(north,south,north,north,X0),
    inference(resolution,[status(thm)],[f27,f36]) ).

fof(f40,plain,
    ! [X0] : ~ p(south,south,north,south,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f30,f37]) ).

fof(f42,plain,
    ! [X0] : ~ p(north,south,north,south,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f21,f40]) ).

fof(f45,plain,
    ! [X0] : ~ p(south,south,south,south,X0),
    inference(resolution,[status(thm)],[f42,f26]) ).

fof(f46,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f17,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:44:17 EDT 2023
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.56  % Refutation found
% 0.15/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56  % Elapsed time: 0.032666 seconds
% 0.15/0.56  % CPU time: 0.014030 seconds
% 0.15/0.56  % Memory used: 1.817 MB
%------------------------------------------------------------------------------