TSTP Solution File: SET634+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 Aug 31 18:21:41 EDT 2022

% Result   : Theorem 1.41s 0.53s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   84 (   8 unt;   0 def)
%            Number of atoms       :  243 (  19 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  271 ( 112   ~; 115   |;  27   &)
%                                         (  15 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   93 (  81   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f297,plain,
    $false,
    inference(avatar_sat_refutation,[],[f88,f98,f126,f141,f150,f192,f194,f203,f206,f224,f226,f296]) ).

fof(f296,plain,
    ( spl7_2
    | ~ spl7_8
    | ~ spl7_9
    | spl7_10 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | spl7_2
    | ~ spl7_8
    | ~ spl7_9
    | spl7_10 ),
    inference(subsumption_resolution,[],[f294,f135]) ).

fof(f135,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl7_9
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f294,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | spl7_2
    | ~ spl7_8
    | spl7_10 ),
    inference(subsumption_resolution,[],[f288,f124]) ).

fof(f124,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2)
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl7_8
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

fof(f288,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2)
    | ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | spl7_2
    | spl7_10 ),
    inference(resolution,[],[f271,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ member(X2,X1)
      | member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ( member(X2,X0)
          & member(X2,X1) )
        | ~ member(X2,intersection(X0,X1)) )
      & ( member(X2,intersection(X0,X1))
        | ~ member(X2,X0)
        | ~ member(X2,X1) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ( ( member(X1,X2)
          & member(X1,X0) )
        | ~ member(X1,intersection(X2,X0)) )
      & ( member(X1,intersection(X2,X0))
        | ~ member(X1,X2)
        | ~ member(X1,X0) ) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ( ( member(X1,X2)
          & member(X1,X0) )
        | ~ member(X1,intersection(X2,X0)) )
      & ( member(X1,intersection(X2,X0))
        | ~ member(X1,X2)
        | ~ member(X1,X0) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( ( member(X1,X2)
        & member(X1,X0) )
    <=> member(X1,intersection(X2,X0)) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2,X0] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).

fof(f271,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
    | spl7_2
    | spl7_10 ),
    inference(subsumption_resolution,[],[f265,f139]) ).

fof(f139,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | spl7_10 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl7_10
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f265,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
    | spl7_2 ),
    inference(resolution,[],[f87,f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( member(X1,difference(X2,X0))
      | member(X1,X0)
      | ~ member(X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( member(X1,X2)
          & ~ member(X1,X0) )
        | ~ member(X1,difference(X2,X0)) )
      & ( member(X1,difference(X2,X0))
        | ~ member(X1,X2)
        | member(X1,X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X2,X1,X0] :
      ( ( ( member(X1,X0)
          & ~ member(X1,X2) )
        | ~ member(X1,difference(X0,X2)) )
      & ( member(X1,difference(X0,X2))
        | ~ member(X1,X0)
        | member(X1,X2) ) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X2,X1,X0] :
      ( ( ( member(X1,X0)
          & ~ member(X1,X2) )
        | ~ member(X1,difference(X0,X2)) )
      & ( member(X1,difference(X0,X2))
        | ~ member(X1,X0)
        | member(X1,X2) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X2,X1,X0] :
      ( ( member(X1,X0)
        & ~ member(X1,X2) )
    <=> member(X1,difference(X0,X2)) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X1] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).

fof(f87,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),sK1))
    | spl7_2 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl7_2
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f226,plain,
    ( ~ spl7_7
    | ~ spl7_10 ),
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | ~ spl7_7
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f217,f140]) ).

fof(f140,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | ~ spl7_10 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f217,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | ~ spl7_7 ),
    inference(resolution,[],[f120,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,X0)
      | ~ member(X1,difference(X2,X0)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f120,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl7_7
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f224,plain,
    ( spl7_9
    | ~ spl7_7 ),
    inference(avatar_split_clause,[],[f218,f119,f134]) ).

fof(f218,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | ~ spl7_7 ),
    inference(resolution,[],[f120,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,difference(X2,X0))
      | member(X1,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f206,plain,
    ( spl7_7
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f196,f81,f119]) ).

fof(f81,plain,
    ( spl7_1
  <=> member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f196,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
    | ~ spl7_1 ),
    inference(resolution,[],[f82,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f82,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f203,plain,
    ( spl7_8
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f197,f81,f123]) ).

fof(f197,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2)
    | ~ spl7_1 ),
    inference(resolution,[],[f82,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f194,plain,
    ( ~ spl7_2
    | spl7_9 ),
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | ~ spl7_2
    | spl7_9 ),
    inference(subsumption_resolution,[],[f185,f136]) ).

fof(f136,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | spl7_9 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f185,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | ~ spl7_2 ),
    inference(resolution,[],[f144,f45]) ).

fof(f144,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
    | ~ spl7_2 ),
    inference(resolution,[],[f86,f43]) ).

fof(f86,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),sK1))
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f192,plain,
    ( spl7_8
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f186,f85,f123]) ).

fof(f186,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2)
    | ~ spl7_2 ),
    inference(resolution,[],[f144,f46]) ).

fof(f150,plain,
    ( ~ spl7_10
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f143,f85,f138]) ).

fof(f143,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | ~ spl7_2 ),
    inference(resolution,[],[f86,f42]) ).

fof(f141,plain,
    ( ~ spl7_9
    | spl7_10
    | spl7_7 ),
    inference(avatar_split_clause,[],[f127,f119,f138,f134]) ).

fof(f127,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK1)
    | ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK0)
    | spl7_7 ),
    inference(resolution,[],[f121,f41]) ).

fof(f121,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
    | spl7_7 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f126,plain,
    ( ~ spl7_7
    | ~ spl7_8
    | spl7_1 ),
    inference(avatar_split_clause,[],[f112,f81,f123,f119]) ).

fof(f112,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),sK2)
    | ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
    | spl7_1 ),
    inference(resolution,[],[f83,f44]) ).

fof(f83,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
    | spl7_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f98,plain,
    ( spl7_2
    | spl7_1 ),
    inference(avatar_split_clause,[],[f79,f81,f85]) ).

fof(f79,plain,
    ( member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
    | member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),sK1)) ),
    inference(resolution,[],[f67,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | sQ6_eqProxy(X0,X1) ),
    inference(equality_proxy_replacement,[],[f50,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sQ6_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( X0 = X1
      | member(sK3(X0,X1),X0)
      | member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ( ( ~ member(sK3(X0,X1),X0)
            | ~ member(sK3(X0,X1),X1) )
          & ( member(sK3(X0,X1),X0)
            | member(sK3(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X1)
              | ~ member(X3,X0) )
            & ( member(X3,X0)
              | ~ member(X3,X1) ) )
        | X0 != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f28,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ member(X2,X0)
            | ~ member(X2,X1) )
          & ( member(X2,X0)
            | member(X2,X1) ) )
     => ( ( ~ member(sK3(X0,X1),X0)
          | ~ member(sK3(X0,X1),X1) )
        & ( member(sK3(X0,X1),X0)
          | member(sK3(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X0)
              | ~ member(X2,X1) )
            & ( member(X2,X0)
              | member(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X1)
              | ~ member(X3,X0) )
            & ( member(X3,X0)
              | ~ member(X3,X1) ) )
        | X0 != X1 ) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ! [X2] :
            ( ( member(X2,X0)
              | ~ member(X2,X1) )
            & ( member(X2,X1)
              | ~ member(X2,X0) ) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f67,plain,
    ~ sQ6_eqProxy(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),
    inference(equality_proxy_replacement,[],[f47,f66]) ).

fof(f47,plain,
    difference(intersection(sK2,sK0),sK1) != intersection(sK2,difference(sK0,sK1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    difference(intersection(sK2,sK0),sK1) != intersection(sK2,difference(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25]) ).

fof(f25,plain,
    ( ? [X0,X1,X2] : intersection(X2,difference(X0,X1)) != difference(intersection(X2,X0),X1)
   => difference(intersection(sK2,sK0),sK1) != intersection(sK2,difference(sK0,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1,X2] : intersection(X2,difference(X0,X1)) != difference(intersection(X2,X0),X1),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ? [X1,X2,X0] : intersection(X0,difference(X1,X2)) != difference(intersection(X0,X1),X2),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_and_intersection) ).

fof(f88,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f78,f85,f81]) ).

fof(f78,plain,
    ( ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),sK1))
    | ~ member(sK3(difference(intersection(sK2,sK0),sK1),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1))) ),
    inference(resolution,[],[f67,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X0)
      | sQ6_eqProxy(X0,X1)
      | ~ member(sK3(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f51,f66]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(sK3(X0,X1),X0)
      | ~ member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n026.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 Aug 30 14:21:51 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (8648)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50  % (8636)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50  % (8640)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (8656)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50  % (8656)Refutation not found, incomplete strategy% (8656)------------------------------
% 0.19/0.50  % (8656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (8639)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (8636)Refutation not found, incomplete strategy% (8636)------------------------------
% 0.19/0.50  % (8636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8636)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (8636)Memory used [KB]: 5884
% 0.19/0.51  % (8636)Time elapsed: 0.119 s
% 0.19/0.51  % (8636)Instructions burned: 2 (million)
% 0.19/0.51  % (8636)------------------------------
% 0.19/0.51  % (8636)------------------------------
% 0.19/0.51  % (8656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8656)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (8656)Memory used [KB]: 6012
% 0.19/0.51  % (8656)Time elapsed: 0.109 s
% 0.19/0.51  % (8656)Instructions burned: 4 (million)
% 0.19/0.51  % (8656)------------------------------
% 0.19/0.51  % (8656)------------------------------
% 0.19/0.52  % (8632)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (8634)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (8633)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (8633)Refutation not found, incomplete strategy% (8633)------------------------------
% 0.19/0.52  % (8633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8633)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8633)Memory used [KB]: 1407
% 0.19/0.52  % (8633)Time elapsed: 0.125 s
% 0.19/0.52  % (8633)Instructions burned: 2 (million)
% 0.19/0.52  % (8633)------------------------------
% 0.19/0.52  % (8633)------------------------------
% 0.19/0.52  % (8628)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (8631)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (8635)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (8631)Refutation not found, incomplete strategy% (8631)------------------------------
% 0.19/0.52  % (8631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8631)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8631)Memory used [KB]: 5884
% 0.19/0.52  % (8631)Time elapsed: 0.127 s
% 0.19/0.52  % (8631)Instructions burned: 1 (million)
% 0.19/0.52  % (8631)------------------------------
% 0.19/0.52  % (8631)------------------------------
% 0.19/0.52  % (8630)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (8640)Refutation not found, incomplete strategy% (8640)------------------------------
% 0.19/0.52  % (8640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8640)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8640)Memory used [KB]: 1535
% 0.19/0.52  % (8640)Time elapsed: 0.127 s
% 0.19/0.52  % (8640)Instructions burned: 3 (million)
% 0.19/0.52  % (8640)------------------------------
% 0.19/0.52  % (8640)------------------------------
% 0.19/0.52  % (8655)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (8630)Refutation not found, incomplete strategy% (8630)------------------------------
% 0.19/0.52  % (8630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8630)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8630)Memory used [KB]: 5884
% 0.19/0.52  % (8630)Time elapsed: 0.127 s
% 0.19/0.52  % (8630)------------------------------
% 0.19/0.52  % (8630)------------------------------
% 0.19/0.52  % (8639)Refutation not found, incomplete strategy% (8639)------------------------------
% 0.19/0.52  % (8639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (8639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (8639)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (8639)Memory used [KB]: 5884
% 0.19/0.52  % (8639)Time elapsed: 0.126 s
% 0.19/0.52  % (8639)Instructions burned: 2 (million)
% 0.19/0.52  % (8639)------------------------------
% 0.19/0.52  % (8639)------------------------------
% 0.19/0.52  % (8638)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.41/0.53  % (8638)First to succeed.
% 1.41/0.53  % (8653)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.41/0.53  % (8629)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.53  % (8629)Refutation not found, incomplete strategy% (8629)------------------------------
% 1.41/0.53  % (8629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (8629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (8629)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.53  
% 1.41/0.53  % (8629)Memory used [KB]: 5884
% 1.41/0.53  % (8629)Time elapsed: 0.137 s
% 1.41/0.53  % (8629)Instructions burned: 1 (million)
% 1.41/0.53  % (8629)------------------------------
% 1.41/0.53  % (8629)------------------------------
% 1.41/0.53  % (8635)Refutation not found, incomplete strategy% (8635)------------------------------
% 1.41/0.53  % (8635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (8635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (8635)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.53  
% 1.41/0.53  % (8646)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.53  % (8635)Memory used [KB]: 6012
% 1.41/0.53  % (8635)Time elapsed: 0.121 s
% 1.41/0.53  % (8638)Refutation found. Thanks to Tanya!
% 1.41/0.53  % SZS status Theorem for theBenchmark
% 1.41/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.53  % (8638)------------------------------
% 1.41/0.53  % (8638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (8638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (8638)Termination reason: Refutation
% 1.41/0.53  
% 1.41/0.53  % (8638)Memory used [KB]: 6012
% 1.41/0.53  % (8638)Time elapsed: 0.137 s
% 1.41/0.53  % (8638)Instructions burned: 3 (million)
% 1.41/0.53  % (8638)------------------------------
% 1.41/0.53  % (8638)------------------------------
% 1.41/0.53  % (8627)Success in time 0.181 s
%------------------------------------------------------------------------------