TSTP Solution File: SET614+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET614+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 : n018.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 18:21:37 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   82 (   9 unt;   0 def)
%            Number of atoms       :  233 (  20 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  254 ( 103   ~; 111   |;  23   &)
%                                         (  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(f229,plain,
    $false,
    inference(avatar_sat_refutation,[],[f78,f88,f106,f133,f142,f144,f183,f198,f219,f228]) ).

fof(f228,plain,
    ( ~ spl6_2
    | ~ spl6_7 ),
    inference(avatar_contradiction_clause,[],[f227]) ).

fof(f227,plain,
    ( $false
    | ~ spl6_2
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f220,f193]) ).

fof(f193,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl6_7
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f220,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | ~ spl6_2 ),
    inference(resolution,[],[f213,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,difference(X2,X0))
      | ~ member(X1,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ member(X1,X0)
          & member(X1,X2) )
        | ~ member(X1,difference(X2,X0)) )
      & ( member(X1,difference(X2,X0))
        | member(X1,X0)
        | ~ member(X1,X2) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0,X2] :
      ( ( ( ~ member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,difference(X2,X1)) )
      & ( member(X0,difference(X2,X1))
        | member(X0,X1)
        | ~ member(X0,X2) ) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0,X2] :
      ( ( ( ~ member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,difference(X2,X1)) )
      & ( member(X0,difference(X2,X1))
        | member(X0,X1)
        | ~ member(X0,X2) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0,X2] :
      ( ( ~ member(X0,X1)
        & member(X0,X2) )
    <=> member(X0,difference(X2,X1)) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] :
      ( ( member(X2,X0)
        & ~ member(X2,X1) )
    <=> member(X2,difference(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).

fof(f213,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,sK2))
    | ~ spl6_2 ),
    inference(resolution,[],[f76,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( member(X1,X2)
      | ~ member(X1,difference(X2,X0)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f76,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(difference(sK3,sK2),sK4))
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl6_2
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(difference(sK3,sK2),sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f219,plain,
    ( ~ spl6_8
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f212,f75,f195]) ).

fof(f195,plain,
    ( spl6_8
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f212,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK4)
    | ~ spl6_2 ),
    inference(resolution,[],[f76,f44]) ).

fof(f198,plain,
    ( spl6_7
    | spl6_8
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f184,f103,f195,f191]) ).

fof(f103,plain,
    ( spl6_6
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),union(sK2,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f184,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK4)
    | member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | ~ spl6_6 ),
    inference(resolution,[],[f105,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X2)
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X1)
          & ~ member(X0,X2) ) )
      & ( member(X0,X1)
        | member(X0,X2)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X1)
          & ~ member(X0,X2) ) )
      & ( member(X0,X1)
        | member(X0,X2)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X1)
        | member(X0,X2) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X0)
        | member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).

fof(f105,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),union(sK2,sK4))
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f183,plain,
    ( spl6_2
    | ~ spl6_5
    | spl6_6 ),
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | spl6_2
    | ~ spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f181,f150]) ).

fof(f150,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | spl6_6 ),
    inference(resolution,[],[f104,f54]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,union(X1,X2)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f104,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),union(sK2,sK4))
    | spl6_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f181,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | spl6_2
    | ~ spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f175,f100]) ).

fof(f100,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl6_5
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f175,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK2)
    | spl6_2
    | spl6_6 ),
    inference(resolution,[],[f174,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( member(X1,X0)
      | member(X1,difference(X2,X0))
      | ~ member(X1,X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f174,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,sK2))
    | spl6_2
    | spl6_6 ),
    inference(subsumption_resolution,[],[f168,f151]) ).

fof(f151,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK4)
    | spl6_6 ),
    inference(resolution,[],[f104,f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f168,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK4)
    | ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,sK2))
    | spl6_2 ),
    inference(resolution,[],[f77,f42]) ).

fof(f77,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(difference(sK3,sK2),sK4))
    | spl6_2 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f144,plain,
    ( ~ spl6_1
    | spl6_5 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl6_1
    | spl6_5 ),
    inference(subsumption_resolution,[],[f136,f101]) ).

fof(f101,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f136,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | ~ spl6_1 ),
    inference(resolution,[],[f72,f43]) ).

fof(f72,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,union(sK2,sK4)))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl6_1
  <=> member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,union(sK2,sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f142,plain,
    ( ~ spl6_6
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f135,f71,f103]) ).

fof(f135,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),union(sK2,sK4))
    | ~ spl6_1 ),
    inference(resolution,[],[f72,f44]) ).

fof(f133,plain,
    ( ~ spl6_2
    | spl6_5 ),
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | ~ spl6_2
    | spl6_5 ),
    inference(subsumption_resolution,[],[f126,f101]) ).

fof(f126,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | ~ spl6_2 ),
    inference(resolution,[],[f114,f43]) ).

fof(f114,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,sK2))
    | ~ spl6_2 ),
    inference(resolution,[],[f76,f43]) ).

fof(f106,plain,
    ( ~ spl6_5
    | spl6_6
    | spl6_1 ),
    inference(avatar_split_clause,[],[f92,f71,f103,f99]) ).

fof(f92,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),union(sK2,sK4))
    | ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),sK3)
    | spl6_1 ),
    inference(resolution,[],[f73,f42]) ).

fof(f73,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,union(sK2,sK4)))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f88,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f68,f75,f71]) ).

fof(f68,plain,
    ( member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(difference(sK3,sK2),sK4))
    | member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,union(sK2,sK4))) ),
    inference(resolution,[],[f65,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X1)
      | sQ5_eqProxy(X0,X1)
      | member(sK1(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f48,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( sQ5_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( X0 = X1
      | member(sK1(X0,X1),X0)
      | member(sK1(X0,X1),X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X0)
              | ~ member(X2,X1) ) )
        | X0 != X1 )
      & ( X0 = X1
        | ( ( ~ member(sK1(X0,X1),X0)
            | ~ member(sK1(X0,X1),X1) )
          & ( member(sK1(X0,X1),X0)
            | member(sK1(X0,X1),X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ( ~ member(X3,X0)
            | ~ member(X3,X1) )
          & ( member(X3,X0)
            | member(X3,X1) ) )
     => ( ( ~ member(sK1(X0,X1),X0)
          | ~ member(sK1(X0,X1),X1) )
        & ( member(sK1(X0,X1),X0)
          | member(sK1(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X0)
              | ~ member(X2,X1) ) )
        | X0 != X1 )
      & ( X0 = X1
        | ? [X3] :
            ( ( ~ member(X3,X0)
              | ~ member(X3,X1) )
            & ( member(X3,X0)
              | member(X3,X1) ) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X0)
              | ~ member(X2,X1) ) )
        | X0 != X1 )
      & ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X0)
              | ~ member(X2,X1) )
            & ( member(X2,X0)
              | member(X2,X1) ) ) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
        <=> member(X2,X0) )
    <=> X0 = X1 ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f65,plain,
    ~ sQ5_eqProxy(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),
    inference(equality_proxy_replacement,[],[f55,f60]) ).

fof(f55,plain,
    difference(sK3,union(sK2,sK4)) != difference(difference(sK3,sK2),sK4),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    difference(sK3,union(sK2,sK4)) != difference(difference(sK3,sK2),sK4),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f34,f35]) ).

fof(f35,plain,
    ( ? [X0,X1,X2] : difference(difference(X1,X0),X2) != difference(X1,union(X0,X2))
   => difference(sK3,union(sK2,sK4)) != difference(difference(sK3,sK2),sK4) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ? [X0,X1,X2] : difference(difference(X1,X0),X2) != difference(X1,union(X0,X2)),
    inference(rectify,[],[f16]) ).

fof(f16,plain,
    ? [X1,X2,X0] : difference(X2,union(X1,X0)) != difference(difference(X2,X1),X0),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X1,X0,X2] : difference(X2,union(X1,X0)) = difference(difference(X2,X1),X0),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X2,X1,X0] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X2,X1,X0] : difference(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_difference_union) ).

fof(f78,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f69,f75,f71]) ).

fof(f69,plain,
    ( ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(difference(sK3,sK2),sK4))
    | ~ member(sK1(difference(sK3,union(sK2,sK4)),difference(difference(sK3,sK2),sK4)),difference(sK3,union(sK2,sK4))) ),
    inference(resolution,[],[f65,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X0)
      | sQ5_eqProxy(X0,X1)
      | ~ member(sK1(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f49,f60]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(sK1(X0,X1),X0)
      | ~ member(sK1(X0,X1),X1) ),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:15:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (31187)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50  % (31179)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (31187)Refutation not found, incomplete strategy% (31187)------------------------------
% 0.20/0.50  % (31187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31187)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (31187)Memory used [KB]: 1407
% 0.20/0.50  % (31187)Time elapsed: 0.057 s
% 0.20/0.50  % (31187)Instructions burned: 2 (million)
% 0.20/0.50  % (31187)------------------------------
% 0.20/0.50  % (31187)------------------------------
% 0.20/0.50  % (31171)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)
% 0.20/0.50  % (31175)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)
% 0.20/0.50  % (31171)Refutation not found, incomplete strategy% (31171)------------------------------
% 0.20/0.50  % (31171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31175)Refutation not found, incomplete strategy% (31175)------------------------------
% 0.20/0.50  % (31175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31175)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (31175)Memory used [KB]: 5884
% 0.20/0.50  % (31175)Time elapsed: 0.100 s
% 0.20/0.50  % (31175)Instructions burned: 3 (million)
% 0.20/0.50  % (31175)------------------------------
% 0.20/0.50  % (31175)------------------------------
% 0.20/0.50  % (31171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31171)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (31171)Memory used [KB]: 5884
% 0.20/0.50  % (31171)Time elapsed: 0.061 s
% 0.20/0.50  % (31171)Instructions burned: 1 (million)
% 0.20/0.50  % (31171)------------------------------
% 0.20/0.50  % (31171)------------------------------
% 0.20/0.50  % (31179)Instruction limit reached!
% 0.20/0.50  % (31179)------------------------------
% 0.20/0.50  % (31179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (31179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (31179)Termination reason: Unknown
% 0.20/0.50  % (31179)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (31179)Memory used [KB]: 6012
% 0.20/0.50  % (31179)Time elapsed: 0.062 s
% 0.20/0.50  % (31179)Instructions burned: 7 (million)
% 0.20/0.50  % (31179)------------------------------
% 0.20/0.50  % (31179)------------------------------
% 0.20/0.51  % (31169)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)
% 0.20/0.51  % (31169)Refutation not found, incomplete strategy% (31169)------------------------------
% 0.20/0.51  % (31169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (31169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (31169)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (31169)Memory used [KB]: 1407
% 0.20/0.51  % (31169)Time elapsed: 0.108 s
% 0.20/0.51  % (31169)Instructions burned: 2 (million)
% 0.20/0.51  % (31169)------------------------------
% 0.20/0.51  % (31169)------------------------------
% 0.20/0.51  % (31164)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (31167)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)
% 0.20/0.51  % (31186)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51  % (31193)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.51  % (31168)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)
% 0.20/0.51  % (31167)Refutation not found, incomplete strategy% (31167)------------------------------
% 0.20/0.51  % (31167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (31167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (31167)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (31167)Memory used [KB]: 5884
% 0.20/0.51  % (31167)Time elapsed: 0.121 s
% 0.20/0.51  % (31167)Instructions burned: 1 (million)
% 0.20/0.51  % (31167)------------------------------
% 0.20/0.51  % (31167)------------------------------
% 0.20/0.52  % (31183)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52  % (31170)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)
% 0.20/0.52  % (31177)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (31173)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (31173)Refutation not found, incomplete strategy% (31173)------------------------------
% 0.20/0.53  % (31173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31173)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (31173)Memory used [KB]: 5884
% 0.20/0.53  % (31173)Time elapsed: 0.122 s
% 0.20/0.53  % (31173)Instructions burned: 2 (million)
% 0.20/0.53  % (31173)------------------------------
% 0.20/0.53  % (31173)------------------------------
% 0.20/0.53  % (31177)Refutation not found, incomplete strategy% (31177)------------------------------
% 0.20/0.53  % (31177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31177)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (31177)Memory used [KB]: 5884
% 0.20/0.53  % (31177)Time elapsed: 0.135 s
% 0.20/0.53  % (31177)Instructions burned: 2 (million)
% 0.20/0.53  % (31177)------------------------------
% 0.20/0.53  % (31177)------------------------------
% 0.20/0.53  % (31185)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (31165)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)
% 0.20/0.53  % (31165)Refutation not found, incomplete strategy% (31165)------------------------------
% 0.20/0.53  % (31165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31165)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (31165)Memory used [KB]: 5884
% 0.20/0.53  % (31165)Time elapsed: 0.125 s
% 0.20/0.53  % (31165)Instructions burned: 1 (million)
% 0.20/0.53  % (31165)------------------------------
% 0.20/0.53  % (31165)------------------------------
% 0.20/0.53  % (31185)Refutation not found, incomplete strategy% (31185)------------------------------
% 0.20/0.53  % (31185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31185)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (31185)Memory used [KB]: 5884
% 0.20/0.53  % (31185)Time elapsed: 0.131 s
% 0.20/0.53  % (31185)Instructions burned: 1 (million)
% 0.20/0.53  % (31185)------------------------------
% 0.20/0.53  % (31185)------------------------------
% 0.20/0.53  % (31188)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (31174)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)
% 0.20/0.53  % (31189)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)
% 0.20/0.53  % (31192)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)
% 0.20/0.53  % (31178)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (31174)First to succeed.
% 0.20/0.53  % (31178)Instruction limit reached!
% 0.20/0.53  % (31178)------------------------------
% 0.20/0.53  % (31178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31178)Termination reason: Unknown
% 0.20/0.53  % (31178)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (31178)Memory used [KB]: 5884
% 0.20/0.53  % (31178)Time elapsed: 0.138 s
% 0.20/0.53  % (31178)Instructions burned: 3 (million)
% 0.20/0.53  % (31178)------------------------------
% 0.20/0.53  % (31178)------------------------------
% 0.20/0.54  % (31174)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (31174)------------------------------
% 0.20/0.54  % (31174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31174)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (31174)Memory used [KB]: 6012
% 0.20/0.54  % (31174)Time elapsed: 0.135 s
% 0.20/0.54  % (31174)Instructions burned: 4 (million)
% 0.20/0.54  % (31174)------------------------------
% 0.20/0.54  % (31174)------------------------------
% 0.20/0.54  % (31160)Success in time 0.176 s
%------------------------------------------------------------------------------