TSTP Solution File: COM002-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% 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 : n020.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 20:13:58 EDT 2024

% Result   : Unsatisfiable 0.17s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    labels(loop,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    follows(p6,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    follows(p7,p6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    follows(p8,p7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ succeeds(p3,p3),
    file('/export/starexec/sandbox2/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(f50,plain,
    succeeds(p6,p3),
    inference(resolution,[status(thm)],[f35,f20]) ).

fof(f53,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p6) ),
    inference(resolution,[status(thm)],[f50,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(f60,plain,
    ! [X0] :
      ( succeeds(X0,p6)
      | ~ succeeds(X0,p7) ),
    inference(resolution,[status(thm)],[f54,f22]) ).

fof(f70,plain,
    ! [X0] :
      ( succeeds(X0,p8)
      | ~ labels(loop,X0) ),
    inference(resolution,[status(thm)],[f24,f40]) ).

fof(f73,plain,
    succeeds(p8,p6),
    inference(resolution,[status(thm)],[f60,f55]) ).

fof(f76,plain,
    succeeds(p8,p3),
    inference(resolution,[status(thm)],[f73,f53]) ).

fof(f83,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p8) ),
    inference(resolution,[status(thm)],[f76,f22]) ).

fof(f102,plain,
    succeeds(p3,p8),
    inference(resolution,[status(thm)],[f70,f30]) ).

fof(f103,plain,
    succeeds(p3,p3),
    inference(resolution,[status(thm)],[f102,f83]) ).

fof(f104,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f103,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : COM002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n020.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
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Apr 30 01:01:32 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.17/0.32  % Drodi V3.6.0
% 0.17/0.33  % Refutation found
% 0.17/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.34  % Elapsed time: 0.014866 seconds
% 0.17/0.34  % CPU time: 0.022582 seconds
% 0.17/0.34  % Total memory used: 6.701 MB
% 0.17/0.34  % Net memory used: 6.647 MB
%------------------------------------------------------------------------------