TSTP Solution File: MSC015-1.005 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 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 12:21:33 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   54 (  22 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   64 (  32   ~;  30   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-5 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    p(s0,s0,s0,s0,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ p(X0,X1,X2,X3,s0)
      | p(X0,X1,X2,X3,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2,s0,s1)
      | p(X0,X1,X2,s1,s0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ p(X0,X1,s0,s1,s1)
      | p(X0,X1,s1,s0,s0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X0] :
      ( ~ p(X0,s0,s1,s1,s1)
      | p(X0,s1,s0,s0,s0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ( ~ p(s0,s1,s1,s1,s1)
    | p(s1,s0,s0,s0,s0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,plain,
    p(s0,s0,s0,s0,s0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p(X0,X1,X2,X3,s0)
      | p(X0,X1,X2,X3,s1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2,s0,s1)
      | p(X0,X1,X2,s1,s0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ p(X0,X1,s0,s1,s1)
      | p(X0,X1,s1,s0,s0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ p(X0,s0,s1,s1,s1)
      | p(X0,s1,s0,s0,s0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ( ~ p(s0,s1,s1,s1,s1)
    | p(s1,s0,s0,s0,s0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f14,plain,
    ~ p(s1,s1,s1,s1,s1),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f15,plain,
    ( spl0_0
  <=> p(s0,s1,s1,s1,s1) ),
    introduced(split_symbol_definition) ).

fof(f17,plain,
    ( ~ p(s0,s1,s1,s1,s1)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f15]) ).

fof(f18,plain,
    ( spl0_1
  <=> p(s1,s0,s0,s0,s0) ),
    introduced(split_symbol_definition) ).

fof(f19,plain,
    ( p(s1,s0,s0,s0,s0)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f18]) ).

fof(f21,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f13,f15,f18]) ).

fof(f22,plain,
    p(s0,s0,s0,s0,s1),
    inference(resolution,[status(thm)],[f9,f8]) ).

fof(f23,plain,
    p(s0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[f10,f22]) ).

fof(f24,plain,
    p(s0,s0,s0,s1,s1),
    inference(resolution,[status(thm)],[f23,f9]) ).

fof(f25,plain,
    p(s0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[f24,f11]) ).

fof(f26,plain,
    p(s0,s0,s1,s0,s1),
    inference(resolution,[status(thm)],[f25,f9]) ).

fof(f27,plain,
    p(s0,s0,s1,s1,s0),
    inference(resolution,[status(thm)],[f26,f10]) ).

fof(f28,plain,
    p(s0,s0,s1,s1,s1),
    inference(resolution,[status(thm)],[f27,f9]) ).

fof(f29,plain,
    p(s0,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[f12,f28]) ).

fof(f30,plain,
    p(s0,s1,s0,s0,s1),
    inference(resolution,[status(thm)],[f29,f9]) ).

fof(f31,plain,
    p(s0,s1,s0,s1,s0),
    inference(resolution,[status(thm)],[f30,f10]) ).

fof(f32,plain,
    p(s0,s1,s0,s1,s1),
    inference(resolution,[status(thm)],[f31,f9]) ).

fof(f33,plain,
    p(s0,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[f32,f11]) ).

fof(f34,plain,
    p(s0,s1,s1,s0,s1),
    inference(resolution,[status(thm)],[f33,f9]) ).

fof(f35,plain,
    p(s0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[f34,f10]) ).

fof(f36,plain,
    p(s0,s1,s1,s1,s1),
    inference(resolution,[status(thm)],[f35,f9]) ).

fof(f37,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f17,f36]) ).

fof(f38,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f37]) ).

fof(f39,plain,
    ( p(s1,s0,s0,s0,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f19,f9]) ).

fof(f40,plain,
    ( p(s1,s0,s0,s1,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f39,f10]) ).

fof(f41,plain,
    ( p(s1,s0,s0,s1,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f40,f9]) ).

fof(f42,plain,
    ( p(s1,s0,s1,s0,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f41,f11]) ).

fof(f43,plain,
    ( p(s1,s0,s1,s0,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f42,f9]) ).

fof(f44,plain,
    ( p(s1,s0,s1,s1,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f43,f10]) ).

fof(f45,plain,
    ( p(s1,s0,s1,s1,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f44,f9]) ).

fof(f46,plain,
    ( p(s1,s1,s0,s0,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f45,f12]) ).

fof(f47,plain,
    ( p(s1,s1,s0,s0,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f46,f9]) ).

fof(f48,plain,
    ( p(s1,s1,s0,s1,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f47,f10]) ).

fof(f49,plain,
    ( p(s1,s1,s0,s1,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f48,f9]) ).

fof(f50,plain,
    ( p(s1,s1,s1,s0,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f49,f11]) ).

fof(f51,plain,
    ( p(s1,s1,s1,s0,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f50,f9]) ).

fof(f52,plain,
    ( p(s1,s1,s1,s1,s0)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f51,f10]) ).

fof(f53,plain,
    ( p(s1,s1,s1,s1,s1)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f52,f9]) ).

fof(f54,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f53,f14]) ).

fof(f55,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f54]) ).

fof(f56,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21,f38,f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:49:34 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.57  % Elapsed time: 0.012199 seconds
% 0.23/0.57  % CPU time: 0.027413 seconds
% 0.23/0.57  % Memory used: 7.128 MB
%------------------------------------------------------------------------------