TSTP Solution File: COM001-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 12:03:50 EDT 2023

% Result   : Unsatisfiable 0.15s 0.65s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  18   ~;  16   |;   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    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   24 (;  24   !;   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(f5,hypothesis,
    labels(loop,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    follows(p8,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ~ succeeds(p3,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,plain,
    ! [X0,X1] :
      ( succeeds(X0,X1)
      | ~ follows(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f13,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(f14,plain,
    ! [X0,X1,X2] :
      ( succeeds(X0,X1)
      | ~ succeeds(X0,X2)
      | ~ succeeds(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f15,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(f16,plain,
    ! [X0,X1,X2] :
      ( succeeds(X0,X1)
      | ~ has(X1,goto(X2))
      | ~ labels(X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f19,plain,
    labels(loop,p3),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f23,plain,
    follows(p8,p3),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    has(p8,goto(loop)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f25,plain,
    ~ succeeds(p3,p3),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f26,plain,
    succeeds(p8,p3),
    inference(resolution,[status(thm)],[f12,f23]) ).

fof(f27,plain,
    ! [X0] :
      ( succeeds(X0,p3)
      | ~ succeeds(X0,p8) ),
    inference(resolution,[status(thm)],[f26,f14]) ).

fof(f31,plain,
    ! [X0] :
      ( succeeds(X0,p8)
      | ~ labels(loop,X0) ),
    inference(resolution,[status(thm)],[f24,f16]) ).

fof(f32,plain,
    succeeds(p3,p8),
    inference(resolution,[status(thm)],[f31,f19]) ).

fof(f35,plain,
    succeeds(p3,p3),
    inference(resolution,[status(thm)],[f32,f27]) ).

fof(f36,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f35,f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.21  % Problem  : COM001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.22  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.42  % Computer : n027.cluster.edu
% 0.10/0.42  % Model    : x86_64 x86_64
% 0.10/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42  % Memory   : 8042.1875MB
% 0.10/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.42  % CPULimit : 300
% 0.10/0.42  % WCLimit  : 300
% 0.10/0.42  % DateTime : Tue May 30 12:07:03 EDT 2023
% 0.10/0.42  % CPUTime  : 
% 0.10/0.43  % Drodi V3.5.1
% 0.15/0.65  % Refutation found
% 0.15/0.65  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.65  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.65  % Elapsed time: 0.009597 seconds
% 0.15/0.65  % CPU time: 0.011375 seconds
% 0.15/0.65  % Memory used: 1.803 MB
%------------------------------------------------------------------------------