TSTP Solution File: MSC004-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : MSC004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:21:30 EDT 2023

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   38 (   7 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  38   ~;  38   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-5 aty)
%            Number of variables   :   37 (;  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts] :
      ( in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part)
      | has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
      | ~ has_parts(Big_part,Number_of_mid_parts,Mid_part) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [Big_part,Number_of_mid_parts,Number_of_small_parts,Small_part,Mid_part] :
      ( has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
      | ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
      | ~ has_parts(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Number_of_small_parts,Small_part) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,hypothesis,
    in(john,boy),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    ! [X] :
      ( in(X,human)
      | ~ in(X,boy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,hypothesis,
    ! [X] :
      ( has_parts(X,n5,fingers)
      | ~ in(X,hand) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    ! [X] :
      ( has_parts(X,n2,arm)
      | ~ in(X,human) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    ! [X] :
      ( has_parts(X,n1,hand)
      | ~ in(X,arm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ has_parts(john,times(times(n2,n1),n5),fingers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [Big_part,Mid_part,Number_of_mid_parts] :
      ( ! [Small_part,Number_of_small_parts] :
          ( in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part)
          | has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part) )
      | ~ has_parts(Big_part,Number_of_mid_parts,Mid_part) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4] :
      ( in(object_in(X0,X1,X2,X3,X4),X1)
      | has_parts(X0,times(X3,X4),X2)
      | ~ has_parts(X0,X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4] :
      ( has_parts(X0,times(X1,X2),X3)
      | ~ has_parts(X0,X1,X4)
      | ~ has_parts(object_in(X0,X4,X3,X1,X2),X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f12,plain,
    in(john,boy),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f13,plain,
    ! [X0] :
      ( in(X0,human)
      | ~ in(X0,boy) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0] :
      ( has_parts(X0,n5,fingers)
      | ~ in(X0,hand) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [X0] :
      ( has_parts(X0,n2,arm)
      | ~ in(X0,human) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0] :
      ( has_parts(X0,n1,hand)
      | ~ in(X0,arm) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f17,plain,
    ~ has_parts(john,times(times(n2,n1),n5),fingers),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ has_parts(john,times(n2,n1),X0)
      | ~ has_parts(object_in(john,X0,fingers,times(n2,n1),n5),n5,fingers) ),
    inference(resolution,[status(thm)],[f11,f17]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ has_parts(john,times(n2,n1),X0)
      | ~ in(object_in(john,X0,fingers,times(n2,n1),n5),hand) ),
    inference(resolution,[status(thm)],[f18,f14]) ).

fof(f20,plain,
    ( spl0_0
  <=> has_parts(john,times(n2,n1),hand) ),
    introduced(split_symbol_definition) ).

fof(f22,plain,
    ( ~ has_parts(john,times(n2,n1),hand)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f20]) ).

fof(f23,plain,
    ( spl0_1
  <=> has_parts(john,times(times(n2,n1),n5),fingers) ),
    introduced(split_symbol_definition) ).

fof(f24,plain,
    ( has_parts(john,times(times(n2,n1),n5),fingers)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f23]) ).

fof(f26,plain,
    ( ~ has_parts(john,times(n2,n1),hand)
    | has_parts(john,times(times(n2,n1),n5),fingers)
    | ~ has_parts(john,times(n2,n1),hand) ),
    inference(resolution,[status(thm)],[f19,f10]) ).

fof(f27,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f26,f20,f23]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ has_parts(john,n2,X0)
      | ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand)
      | spl0_0 ),
    inference(resolution,[status(thm)],[f22,f11]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ has_parts(john,n2,X0)
      | ~ in(object_in(john,X0,hand,n2,n1),arm)
      | spl0_0 ),
    inference(resolution,[status(thm)],[f28,f16]) ).

fof(f30,plain,
    ( spl0_2
  <=> has_parts(john,n2,arm) ),
    introduced(split_symbol_definition) ).

fof(f32,plain,
    ( ~ has_parts(john,n2,arm)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f30]) ).

fof(f33,plain,
    ( ~ has_parts(john,n2,arm)
    | has_parts(john,times(n2,n1),hand)
    | ~ has_parts(john,n2,arm)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f29,f10]) ).

fof(f34,plain,
    ( ~ spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f33,f30,f20]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24,f17]) ).

fof(f36,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f35]) ).

fof(f37,plain,
    ( ~ in(john,human)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f32,f15]) ).

fof(f38,plain,
    ( ~ in(john,boy)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f37,f13]) ).

fof(f39,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f38,f12]) ).

fof(f40,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f39]) ).

fof(f41,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f27,f34,f36,f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MSC004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 09:49:34 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57  % Elapsed time: 0.010360 seconds
% 0.20/0.57  % CPU time: 0.027303 seconds
% 0.20/0.57  % Memory used: 1.863 MB
%------------------------------------------------------------------------------