TSTP Solution File: SET698+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET698+4 : 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 : n020.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 18:21:55 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   97 (   3 unt;   0 def)
%            Number of atoms       :  307 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  326 ( 116   ~; 130   |;  55   &)
%                                         (  17 <=>;   6  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  123 ( 102   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,plain,
    $false,
    inference(avatar_sat_refutation,[],[f63,f64,f144,f157,f187,f235,f269,f277]) ).

fof(f277,plain,
    ( spl4_3
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f276]) ).

fof(f276,plain,
    ( $false
    | spl4_3
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f270,f239]) ).

fof(f239,plain,
    ( ~ member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK1)
    | spl4_3 ),
    inference(resolution,[],[f152,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ( member(sK3(X0,X1),X1)
          & ~ member(sK3(X0,X1),X0) ) )
      & ( ! [X3] :
            ( ~ member(X3,X1)
            | member(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f33,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X2,X1)
          & ~ member(X2,X0) )
     => ( member(sK3(X0,X1),X1)
        & ~ member(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( member(X2,X1)
            & ~ member(X2,X0) ) )
      & ( ! [X3] :
            ( ~ member(X3,X1)
            | member(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) ) )
      & ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f152,plain,
    ( ~ subset(union(difference(sK1,sK2),sK0),sK1)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl4_3
  <=> subset(union(difference(sK1,sK2),sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f270,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK1)
    | ~ spl4_5 ),
    inference(resolution,[],[f182,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ member(X0,sK0)
      | member(X0,sK1) ),
    inference(resolution,[],[f42,f49]) ).

fof(f49,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X1,X0)
      | member(X3,X0)
      | ~ member(X3,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f42,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( subset(sK0,sK1)
    & ( ~ subset(sK2,sK0)
      | ~ equal_set(union(difference(sK1,sK2),sK0),sK1) )
    & ( subset(sK2,sK0)
      | equal_set(union(difference(sK1,sK2),sK0),sK1) )
    & subset(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).

fof(f24,plain,
    ( ? [X0,X1,X2] :
        ( subset(X0,X1)
        & ( ~ subset(X2,X0)
          | ~ equal_set(union(difference(X1,X2),X0),X1) )
        & ( subset(X2,X0)
          | equal_set(union(difference(X1,X2),X0),X1) )
        & subset(X2,X1) )
   => ( subset(sK0,sK1)
      & ( ~ subset(sK2,sK0)
        | ~ equal_set(union(difference(sK1,sK2),sK0),sK1) )
      & ( subset(sK2,sK0)
        | equal_set(union(difference(sK1,sK2),sK0),sK1) )
      & subset(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( subset(X0,X1)
      & ( ~ subset(X2,X0)
        | ~ equal_set(union(difference(X1,X2),X0),X1) )
      & ( subset(X2,X0)
        | equal_set(union(difference(X1,X2),X0),X1) )
      & subset(X2,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ? [X1,X0,X2] :
      ( subset(X1,X0)
      & ( ~ subset(X2,X1)
        | ~ equal_set(union(difference(X0,X2),X1),X0) )
      & ( subset(X2,X1)
        | equal_set(union(difference(X0,X2),X1),X0) )
      & subset(X2,X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ? [X1,X0,X2] :
      ( subset(X1,X0)
      & ( ~ subset(X2,X1)
        | ~ equal_set(union(difference(X0,X2),X1),X0) )
      & ( subset(X2,X1)
        | equal_set(union(difference(X0,X2),X1),X0) )
      & subset(X2,X0) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ? [X1,X0,X2] :
      ( subset(X1,X0)
      & ( equal_set(union(difference(X0,X2),X1),X0)
      <~> subset(X2,X1) )
      & subset(X2,X0) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ? [X1,X0,X2] :
      ( ( equal_set(union(difference(X0,X2),X1),X0)
      <~> subset(X2,X1) )
      & subset(X2,X0)
      & subset(X1,X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X1,X0,X2] :
        ( ( subset(X2,X0)
          & subset(X1,X0) )
       => ( equal_set(union(difference(X0,X2),X1),X0)
        <=> subset(X2,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X3,X1,X0] :
        ( ( subset(X1,X3)
          & subset(X0,X3) )
       => ( equal_set(union(difference(X3,X0),X1),X3)
        <=> subset(X0,X1) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X3,X1,X0] :
      ( ( subset(X1,X3)
        & subset(X0,X3) )
     => ( equal_set(union(difference(X3,X0),X1),X3)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI32) ).

fof(f182,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK0)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl4_5
  <=> member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f269,plain,
    ( spl4_3
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | spl4_3
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f261,f239]) ).

fof(f261,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK1)
    | ~ spl4_6 ),
    inference(resolution,[],[f186,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,difference(X0,X1)) )
      & ( member(X2,difference(X0,X1))
        | member(X2,X1)
        | ~ member(X2,X0) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X2,X1,X0] :
      ( ( ( ~ member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,difference(X2,X1)) )
      & ( member(X0,difference(X2,X1))
        | member(X0,X1)
        | ~ member(X0,X2) ) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X2,X1,X0] :
      ( ( ( ~ 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,[],[f17]) ).

fof(f17,plain,
    ! [X2,X1,X0] :
      ( ( ~ member(X0,X1)
        & member(X0,X2) )
    <=> member(X0,difference(X2,X1)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0,X3] :
      ( member(X1,difference(X3,X0))
    <=> ( member(X1,X3)
        & ~ member(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).

fof(f186,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),difference(sK1,sK2))
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl4_6
  <=> member(sK3(sK1,union(difference(sK1,sK2),sK0)),difference(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f235,plain,
    ( ~ spl4_1
    | spl4_4 ),
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f234,plain,
    ( $false
    | ~ spl4_1
    | spl4_4 ),
    inference(subsumption_resolution,[],[f227,f208]) ).

fof(f208,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),sK0),sK1),sK0)
    | spl4_4 ),
    inference(resolution,[],[f194,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,X0)
      | member(X1,union(X2,X0)) ),
    inference(cnf_transformation,[],[f28]) ).

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

fof(f27,plain,
    ! [X0,X2,X1] :
      ( ( member(X2,X1)
        | member(X2,X0)
        | ~ member(X2,union(X1,X0)) )
      & ( member(X2,union(X1,X0))
        | ( ~ member(X2,X1)
          & ~ member(X2,X0) ) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X2,X1] :
      ( ( member(X2,X1)
        | member(X2,X0)
        | ~ member(X2,union(X1,X0)) )
      & ( member(X2,union(X1,X0))
        | ( ~ member(X2,X1)
          & ~ member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X2,X1] :
      ( ( member(X2,X1)
        | member(X2,X0) )
    <=> member(X2,union(X1,X0)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X0)
        | member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f194,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),sK0),sK1),union(difference(sK1,sK2),sK0))
    | spl4_4 ),
    inference(resolution,[],[f156,f50]) ).

fof(f156,plain,
    ( ~ subset(sK1,union(difference(sK1,sK2),sK0))
    | spl4_4 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl4_4
  <=> subset(sK1,union(difference(sK1,sK2),sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f227,plain,
    ( member(sK3(union(difference(sK1,sK2),sK0),sK1),sK0)
    | ~ spl4_1
    | spl4_4 ),
    inference(resolution,[],[f226,f145]) ).

fof(f145,plain,
    ( ! [X0] :
        ( ~ member(X0,sK2)
        | member(X0,sK0) )
    | ~ spl4_1 ),
    inference(resolution,[],[f57,f49]) ).

fof(f57,plain,
    ( subset(sK2,sK0)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl4_1
  <=> subset(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f226,plain,
    ( member(sK3(union(difference(sK1,sK2),sK0),sK1),sK2)
    | spl4_4 ),
    inference(subsumption_resolution,[],[f220,f193]) ).

fof(f193,plain,
    ( member(sK3(union(difference(sK1,sK2),sK0),sK1),sK1)
    | spl4_4 ),
    inference(resolution,[],[f156,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f220,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),sK0),sK1),sK1)
    | member(sK3(union(difference(sK1,sK2),sK0),sK1),sK2)
    | spl4_4 ),
    inference(resolution,[],[f209,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | member(X2,difference(X0,X1)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f209,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),sK0),sK1),difference(sK1,sK2))
    | spl4_4 ),
    inference(resolution,[],[f194,f44]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( member(X1,union(X2,X0))
      | ~ member(X1,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f187,plain,
    ( spl4_5
    | spl4_6
    | spl4_3 ),
    inference(avatar_split_clause,[],[f173,f150,f184,f180]) ).

fof(f173,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),difference(sK1,sK2))
    | member(sK3(sK1,union(difference(sK1,sK2),sK0)),sK0)
    | spl4_3 ),
    inference(resolution,[],[f166,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( member(X1,X2)
      | ~ member(X1,union(X2,X0))
      | member(X1,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f166,plain,
    ( member(sK3(sK1,union(difference(sK1,sK2),sK0)),union(difference(sK1,sK2),sK0))
    | spl4_3 ),
    inference(resolution,[],[f152,f51]) ).

fof(f157,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_2 ),
    inference(avatar_split_clause,[],[f148,f60,f154,f150]) ).

fof(f60,plain,
    ( spl4_2
  <=> equal_set(union(difference(sK1,sK2),sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f148,plain,
    ( ~ subset(sK1,union(difference(sK1,sK2),sK0))
    | ~ subset(union(difference(sK1,sK2),sK0),sK1)
    | spl4_2 ),
    inference(resolution,[],[f62,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ subset(X1,X0)
      | equal_set(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | ~ equal_set(X0,X1) )
      & ( equal_set(X0,X1)
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ( ( subset(X0,X1)
          & subset(X1,X0) )
        | ~ equal_set(X1,X0) )
      & ( equal_set(X1,X0)
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ( ( subset(X0,X1)
          & subset(X1,X0) )
        | ~ equal_set(X1,X0) )
      & ( equal_set(X1,X0)
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
    <=> equal_set(X1,X0) ),
    inference(rectify,[],[f2]) ).

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

fof(f62,plain,
    ( ~ equal_set(union(difference(sK1,sK2),sK0),sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f144,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f136,f74]) ).

fof(f74,plain,
    ( ~ member(sK3(sK0,sK2),sK0)
    | spl4_1 ),
    inference(resolution,[],[f58,f50]) ).

fof(f58,plain,
    ( ~ subset(sK2,sK0)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f136,plain,
    ( member(sK3(sK0,sK2),sK0)
    | spl4_1
    | ~ spl4_2 ),
    inference(resolution,[],[f135,f73]) ).

fof(f73,plain,
    ( member(sK3(sK0,sK2),sK2)
    | spl4_1 ),
    inference(resolution,[],[f58,f51]) ).

fof(f135,plain,
    ( ! [X2] :
        ( ~ member(X2,sK2)
        | member(X2,sK0) )
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f129,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ member(X0,sK2)
      | member(X0,sK1) ),
    inference(resolution,[],[f39,f49]) ).

fof(f39,plain,
    subset(sK2,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f129,plain,
    ( ! [X2] :
        ( member(X2,sK0)
        | ~ member(X2,sK1)
        | ~ member(X2,sK2) )
    | ~ spl4_2 ),
    inference(resolution,[],[f121,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | ~ member(X2,difference(X0,X1)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f121,plain,
    ( ! [X2] :
        ( member(X2,difference(sK1,sK2))
        | member(X2,sK0)
        | ~ member(X2,sK1) )
    | ~ spl4_2 ),
    inference(resolution,[],[f108,f45]) ).

fof(f108,plain,
    ( ! [X0] :
        ( member(X0,union(difference(sK1,sK2),sK0))
        | ~ member(X0,sK1) )
    | ~ spl4_2 ),
    inference(resolution,[],[f81,f49]) ).

fof(f81,plain,
    ( subset(sK1,union(difference(sK1,sK2),sK0))
    | ~ spl4_2 ),
    inference(resolution,[],[f61,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f61,plain,
    ( equal_set(union(difference(sK1,sK2),sK0),sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f64,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f40,f60,f56]) ).

fof(f40,plain,
    ( equal_set(union(difference(sK1,sK2),sK0),sK1)
    | subset(sK2,sK0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f63,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f41,f60,f56]) ).

fof(f41,plain,
    ( ~ equal_set(union(difference(sK1,sK2),sK0),sK1)
    | ~ subset(sK2,sK0) ),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET698+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n020.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 Aug 30 14:23:30 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  % (23529)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)
% 0.20/0.47  % (23537)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)
% 0.20/0.48  % (23532)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)
% 0.20/0.48  % (23552)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)
% 0.20/0.49  % (23545)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)
% 0.20/0.49  % (23529)Instruction limit reached!
% 0.20/0.49  % (23529)------------------------------
% 0.20/0.49  % (23529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (23529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (23529)Termination reason: Unknown
% 0.20/0.49  % (23529)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (23529)Memory used [KB]: 6140
% 0.20/0.49  % (23529)Time elapsed: 0.107 s
% 0.20/0.49  % (23529)Instructions burned: 13 (million)
% 0.20/0.49  % (23529)------------------------------
% 0.20/0.49  % (23529)------------------------------
% 0.20/0.49  % (23537)Instruction limit reached!
% 0.20/0.49  % (23537)------------------------------
% 0.20/0.49  % (23537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23537)Termination reason: Unknown
% 0.20/0.50  % (23537)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (23537)Memory used [KB]: 1663
% 0.20/0.50  % (23537)Time elapsed: 0.112 s
% 0.20/0.50  % (23537)Instructions burned: 16 (million)
% 0.20/0.50  % (23537)------------------------------
% 0.20/0.50  % (23537)------------------------------
% 0.20/0.50  % (23544)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)
% 0.20/0.50  % (23544)Refutation not found, incomplete strategy% (23544)------------------------------
% 0.20/0.50  % (23544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23544)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (23544)Memory used [KB]: 5884
% 0.20/0.50  % (23544)Time elapsed: 0.111 s
% 0.20/0.50  % (23544)Instructions burned: 2 (million)
% 0.20/0.50  % (23544)------------------------------
% 0.20/0.50  % (23544)------------------------------
% 0.20/0.51  % (23528)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  % (23538)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)
% 0.20/0.52  % (23526)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)
% 0.20/0.52  % (23526)Refutation not found, incomplete strategy% (23526)------------------------------
% 0.20/0.52  % (23526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23526)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (23526)Memory used [KB]: 5884
% 0.20/0.52  % (23526)Time elapsed: 0.117 s
% 0.20/0.52  % (23526)Instructions burned: 1 (million)
% 0.20/0.52  % (23526)------------------------------
% 0.20/0.52  % (23526)------------------------------
% 0.20/0.52  % (23553)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)
% 0.20/0.52  % (23552)Instruction limit reached!
% 0.20/0.52  % (23552)------------------------------
% 0.20/0.52  % (23552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23552)Termination reason: Unknown
% 0.20/0.52  % (23552)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (23552)Memory used [KB]: 6268
% 0.20/0.52  % (23552)Time elapsed: 0.134 s
% 0.20/0.52  % (23552)Instructions burned: 25 (million)
% 0.20/0.52  % (23525)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (23552)------------------------------
% 0.20/0.52  % (23552)------------------------------
% 0.20/0.52  % (23551)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (23550)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  % (23530)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)
% 0.20/0.53  % (23539)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  % (23549)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  % (23539)Instruction limit reached!
% 0.20/0.53  % (23539)------------------------------
% 0.20/0.53  % (23539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (23539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (23539)Termination reason: Unknown
% 0.20/0.53  % (23539)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (23539)Memory used [KB]: 5884
% 0.20/0.53  % (23539)Time elapsed: 0.004 s
% 0.20/0.53  % (23539)Instructions burned: 3 (million)
% 0.20/0.53  % (23539)------------------------------
% 0.20/0.53  % (23539)------------------------------
% 0.20/0.53  % (23527)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)
% 0.20/0.53  % (23527)Refutation not found, incomplete strategy% (23527)------------------------------
% 0.20/0.53  % (23527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (23527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (23527)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (23527)Memory used [KB]: 5884
% 0.20/0.53  % (23527)Time elapsed: 0.125 s
% 0.20/0.53  % (23527)Instructions burned: 2 (million)
% 0.20/0.53  % (23527)------------------------------
% 0.20/0.53  % (23527)------------------------------
% 0.20/0.53  % (23531)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)
% 0.20/0.53  % (23540)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)
% 0.20/0.53  % (23541)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (23542)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (23547)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (23542)Instruction limit reached!
% 0.20/0.54  % (23542)------------------------------
% 0.20/0.54  % (23542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23542)Termination reason: Unknown
% 0.20/0.54  % (23542)Termination phase: Finite model building constraint generation
% 0.20/0.54  
% 0.20/0.54  % (23542)Memory used [KB]: 6012
% 0.20/0.54  % (23542)Time elapsed: 0.140 s
% 0.20/0.54  % (23542)Instructions burned: 4 (million)
% 0.20/0.54  % (23542)------------------------------
% 0.20/0.54  % (23542)------------------------------
% 0.20/0.54  % (23543)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)
% 0.20/0.54  % (23543)Instruction limit reached!
% 0.20/0.54  % (23543)------------------------------
% 0.20/0.54  % (23543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23543)Termination reason: Unknown
% 0.20/0.54  % (23543)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (23543)Memory used [KB]: 5884
% 0.20/0.54  % (23543)Time elapsed: 0.003 s
% 0.20/0.54  % (23543)Instructions burned: 2 (million)
% 0.20/0.54  % (23543)------------------------------
% 0.20/0.54  % (23543)------------------------------
% 0.20/0.54  % (23536)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)
% 0.20/0.54  % (23533)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)
% 0.20/0.54  % (23535)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)
% 0.20/0.54  % (23536)Refutation not found, incomplete strategy% (23536)------------------------------
% 0.20/0.54  % (23536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23536)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (23536)Memory used [KB]: 5884
% 0.20/0.54  % (23536)Time elapsed: 0.142 s
% 0.20/0.54  % (23536)Instructions burned: 2 (million)
% 0.20/0.54  % (23536)------------------------------
% 0.20/0.54  % (23536)------------------------------
% 0.20/0.54  % (23534)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)
% 0.20/0.54  % (23554)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)
% 0.20/0.54  % (23535)First to succeed.
% 0.20/0.54  % (23548)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)
% 0.20/0.54  % (23535)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  % (23535)------------------------------
% 0.20/0.54  % (23535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (23535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (23535)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (23535)Memory used [KB]: 6012
% 0.20/0.54  % (23535)Time elapsed: 0.142 s
% 0.20/0.54  % (23535)Instructions burned: 4 (million)
% 0.20/0.54  % (23535)------------------------------
% 0.20/0.54  % (23535)------------------------------
% 0.20/0.54  % (23524)Success in time 0.188 s
%------------------------------------------------------------------------------