TSTP Solution File: COM002-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:03:51 EDT 2023

% Result   : Unsatisfiable 0.14s 0.62s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  20 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Goal_state,Start_state] :
      ( succeeds(Goal_state,Start_state)
      | ~ follows(Goal_state,Start_state) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [Goal_state,Start_state,Intermediate_state] :
      ( succeeds(Goal_state,Start_state)
      | ~ succeeds(Goal_state,Intermediate_state)
      | ~ succeeds(Intermediate_state,Start_state) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [Goal_state,Start_state,Label] :
      ( succeeds(Goal_state,Start_state)
      | ~ has(Start_state,goto(Label))
      | ~ labels(Label,Goal_state) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    labels(loop,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    follows(p6,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    follows(p7,p6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    follows(p8,p7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ succeeds(p3,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,plain,
    ! [X0,X1] :
      ( succeeds(X0,X1)
      | ~ follows(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f21,plain,
    ! [Start_state,Intermediate_state] :
      ( ! [Goal_state] :
          ( succeeds(Goal_state,Start_state)
          | ~ succeeds(Goal_state,Intermediate_state) )
      | ~ succeeds(Intermediate_state,Start_state) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( succeeds(X0,X1)
      | ~ succeeds(X0,X2)
      | ~ succeeds(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f23,plain,
    ! [Goal_state,Label] :
      ( ! [Start_state] :
          ( succeeds(Goal_state,Start_state)
          | ~ has(Start_state,goto(Label)) )
      | ~ labels(Label,Goal_state) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( succeeds(X0,X1)
      | ~ has(X1,goto(X2))
      | ~ labels(X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f30,plain,
    labels(loop,p3),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f35,plain,
    follows(p6,p3),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f37,plain,
    follows(p7,p6),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f39,plain,
    follows(p8,p7),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f40,plain,
    has(p8,goto(loop)),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f41,plain,
    ~ succeeds(p3,p3),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f44,plain,
    succeeds(p6,p3),
    inference(resolution,[status(thm)],[f35,f20]) ).

fof(f46,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p6) ),
    inference(resolution,[status(thm)],[f44,f22]) ).

fof(f54,plain,
    succeeds(p7,p6),
    inference(resolution,[status(thm)],[f37,f20]) ).

fof(f55,plain,
    succeeds(p8,p7),
    inference(resolution,[status(thm)],[f39,f20]) ).

fof(f59,plain,
    succeeds(p7,p3),
    inference(resolution,[status(thm)],[f54,f46]) ).

fof(f62,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p7) ),
    inference(resolution,[status(thm)],[f59,f22]) ).

fof(f63,plain,
    succeeds(p8,p3),
    inference(resolution,[status(thm)],[f55,f62]) ).

fof(f66,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p8) ),
    inference(resolution,[status(thm)],[f63,f22]) ).

fof(f101,plain,
    ! [X0] :
      ( succeeds(X0,p8)
      | ~ labels(loop,X0) ),
    inference(resolution,[status(thm)],[f40,f24]) ).

fof(f102,plain,
    succeeds(p3,p8),
    inference(resolution,[status(thm)],[f101,f30]) ).

fof(f107,plain,
    succeeds(p3,p3),
    inference(resolution,[status(thm)],[f102,f66]) ).

fof(f108,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f107,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem  : COM002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.37  % Computer : n022.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8042.1875MB
% 0.08/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Tue May 30 11:46:57 EDT 2023
% 0.08/0.37  % CPUTime  : 
% 0.08/0.38  % Drodi V3.5.1
% 0.14/0.62  % Refutation found
% 0.14/0.62  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.62  % Elapsed time: 0.032963 seconds
% 0.14/0.62  % CPU time: 0.015427 seconds
% 0.14/0.62  % Memory used: 1.885 MB
%------------------------------------------------------------------------------