TSTP Solution File: PLA001-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:31:26 EDT 2023

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  21 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  18   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   48 (;  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [FromCity,Loaves,Time,Situation,ToCity] :
      ( ~ at(FromCity,Loaves,Time,Situation)
      | ~ next_to(FromCity,ToCity)
      | at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [City,Loaves,Time,Situation] :
      ( ~ at(City,Loaves,Time,Situation)
      | at(City,s(Loaves),s(Time),buy(Situation)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    next_to(cheyenne,northPlatte),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    next_to(northPlatte,grandIsland),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    next_to(grandIsland,lincoln),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    next_to(lincoln,omaha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    next_to(omaha,desMoines),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    at(cheyenne,none,start,initial_situation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ! [Time,Situation] : ~ at(desMoines,s(none),Time,Situation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [Loaves,Time,Situation,ToCity] :
      ( ! [FromCity] :
          ( ~ at(FromCity,Loaves,Time,Situation)
          | ~ next_to(FromCity,ToCity) )
      | at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ at(X0,X1,X2,X3)
      | ~ next_to(X0,X4)
      | at(X4,X1,s(s(X2)),drive(X4,X3)) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( ~ at(X0,X1,X2,X3)
      | at(X0,s(X1),s(X2),buy(X3)) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f28,plain,
    next_to(cheyenne,northPlatte),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f29,plain,
    next_to(northPlatte,grandIsland),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f30,plain,
    next_to(grandIsland,lincoln),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f31,plain,
    next_to(lincoln,omaha),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f32,plain,
    next_to(omaha,desMoines),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f33,plain,
    at(cheyenne,none,start,initial_situation),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f34,plain,
    ! [X0,X1] : ~ at(desMoines,s(none),X0,X1),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ at(omaha,X0,X1,X2)
      | at(desMoines,X0,s(s(X1)),drive(desMoines,X2)) ),
    inference(resolution,[status(thm)],[f18,f32]) ).

fof(f39,plain,
    ! [X0,X1] : ~ at(omaha,s(none),X0,X1),
    inference(resolution,[status(thm)],[f38,f34]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ~ at(cheyenne,X0,X1,X2)
      | at(northPlatte,X0,s(s(X1)),drive(northPlatte,X2)) ),
    inference(resolution,[status(thm)],[f28,f18]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ~ at(northPlatte,X0,X1,X2)
      | at(grandIsland,X0,s(s(X1)),drive(grandIsland,X2)) ),
    inference(resolution,[status(thm)],[f29,f18]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ~ at(grandIsland,X0,X1,X2)
      | at(lincoln,X0,s(s(X1)),drive(lincoln,X2)) ),
    inference(resolution,[status(thm)],[f30,f18]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ at(lincoln,X0,X1,X2)
      | at(omaha,X0,s(s(X1)),drive(omaha,X2)) ),
    inference(resolution,[status(thm)],[f31,f18]) ).

fof(f60,plain,
    ! [X0,X1] : ~ at(omaha,none,X0,X1),
    inference(resolution,[status(thm)],[f22,f39]) ).

fof(f76,plain,
    at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)),
    inference(resolution,[status(thm)],[f42,f33]) ).

fof(f79,plain,
    at(grandIsland,none,s(s(s(s(start)))),drive(grandIsland,drive(northPlatte,initial_situation))),
    inference(resolution,[status(thm)],[f43,f76]) ).

fof(f84,plain,
    ! [X0,X1] : ~ at(lincoln,none,X0,X1),
    inference(resolution,[status(thm)],[f45,f60]) ).

fof(f692,plain,
    at(lincoln,none,s(s(s(s(s(s(start)))))),drive(lincoln,drive(grandIsland,drive(northPlatte,initial_situation)))),
    inference(resolution,[status(thm)],[f79,f44]) ).

fof(f693,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f692,f84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:35:05 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.5.1
% 0.19/0.38  % Refutation found
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40  % Elapsed time: 0.046654 seconds
% 0.19/0.40  % CPU time: 0.217122 seconds
% 0.19/0.40  % Memory used: 16.740 MB
%------------------------------------------------------------------------------