TSTP Solution File: SET358+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET358+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n031.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  1 03:46:44 EDT 2024

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   84 (   6 unt;   0 def)
%            Number of atoms       :  232 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  245 (  97   ~; 106   |;  24   &)
%                                         (  13 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   95 (  83   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f188,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f116,f133,f139,f143,f180,f187]) ).

fof(f187,plain,
    ( spl5_1
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | spl5_1
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f185,f115]) ).

fof(f115,plain,
    ( member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK0))
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl5_4
  <=> member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f185,plain,
    ( ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK0))
    | spl5_1
    | ~ spl5_4 ),
    inference(resolution,[],[f183,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( member(X0,sK2(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ( member(X0,sK2(X0,X1))
          & member(sK2(X0,X1),X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f34,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X0,X3)
          & member(X3,X1) )
     => ( member(X0,sK2(X0,X1))
        & member(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ? [X3] :
            ( member(X0,X3)
            & member(X3,X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ? [X2] :
            ( member(X0,X2)
            & member(X2,X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X0,X2)
          & member(X2,X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( member(X2,sum(X0))
    <=> ? [X4] :
          ( member(X2,X4)
          & member(X4,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829',sum) ).

fof(f183,plain,
    ( ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK2(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK0))
    | spl5_1
    | ~ spl5_4 ),
    inference(resolution,[],[f181,f148]) ).

fof(f148,plain,
    ( ! [X0] :
        ( ~ member(X0,sK0)
        | ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),X0) )
    | spl5_1 ),
    inference(resolution,[],[f146,f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X2)
        | member(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829',union) ).

fof(f146,plain,
    ( ! [X0] :
        ( ~ member(X0,union(sK0,sK1))
        | ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),X0) )
    | spl5_1 ),
    inference(resolution,[],[f144,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( member(X0,sum(X1))
      | ~ member(X0,X2)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f144,plain,
    ( ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(union(sK0,sK1)))
    | spl5_1 ),
    inference(resolution,[],[f90,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK4(X0,X1),X1)
          & member(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f50,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK4(X0,X1),X1)
        & member(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829',subset) ).

fof(f90,plain,
    ( ~ subset(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1)))
    | spl5_1 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl5_1
  <=> subset(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f181,plain,
    ( member(sK2(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK0),sK0)
    | ~ spl5_4 ),
    inference(resolution,[],[f115,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ member(X0,sum(X1))
      | member(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f180,plain,
    ( spl5_1
    | ~ spl5_3 ),
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | spl5_1
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f178,f112]) ).

fof(f112,plain,
    ( member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK1))
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl5_3
  <=> member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f178,plain,
    ( ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK1))
    | spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f176,f59]) ).

fof(f176,plain,
    ( ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK2(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK1))
    | spl5_1
    | ~ spl5_3 ),
    inference(resolution,[],[f149,f147]) ).

fof(f147,plain,
    ( ! [X0] :
        ( ~ member(X0,sK1)
        | ~ member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),X0) )
    | spl5_1 ),
    inference(resolution,[],[f146,f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f149,plain,
    ( member(sK2(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sK1),sK1)
    | ~ spl5_3 ),
    inference(resolution,[],[f112,f58]) ).

fof(f143,plain,
    ( spl5_2
    | ~ spl5_6 ),
    inference(avatar_contradiction_clause,[],[f142]) ).

fof(f142,plain,
    ( $false
    | spl5_2
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f141,f118]) ).

fof(f118,plain,
    ( member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sum(union(sK0,sK1)))
    | spl5_2 ),
    inference(resolution,[],[f93,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f93,plain,
    ( ~ subset(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1)))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl5_2
  <=> subset(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f141,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sum(union(sK0,sK1)))
    | spl5_2
    | ~ spl5_6 ),
    inference(resolution,[],[f140,f59]) ).

fof(f140,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)))
    | spl5_2
    | ~ spl5_6 ),
    inference(resolution,[],[f132,f122]) ).

fof(f122,plain,
    ( ! [X0] :
        ( ~ member(X0,sK0)
        | ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),X0) )
    | spl5_2 ),
    inference(resolution,[],[f120,f60]) ).

fof(f120,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sum(sK0))
    | spl5_2 ),
    inference(resolution,[],[f117,f55]) ).

fof(f117,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sum(sK0),sum(sK1)))
    | spl5_2 ),
    inference(resolution,[],[f93,f80]) ).

fof(f132,plain,
    ( member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK0)
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl5_6
  <=> member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f139,plain,
    ( spl5_2
    | ~ spl5_5 ),
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | spl5_2
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f137,f118]) ).

fof(f137,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sum(union(sK0,sK1)))
    | spl5_2
    | ~ spl5_5 ),
    inference(resolution,[],[f136,f59]) ).

fof(f136,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)))
    | spl5_2
    | ~ spl5_5 ),
    inference(resolution,[],[f129,f121]) ).

fof(f121,plain,
    ( ! [X0] :
        ( ~ member(X0,sK1)
        | ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),X0) )
    | spl5_2 ),
    inference(resolution,[],[f119,f60]) ).

fof(f119,plain,
    ( ~ member(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),sum(sK1))
    | spl5_2 ),
    inference(resolution,[],[f117,f56]) ).

fof(f129,plain,
    ( member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK1)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl5_5
  <=> member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f133,plain,
    ( spl5_5
    | spl5_6
    | spl5_2 ),
    inference(avatar_split_clause,[],[f126,f92,f131,f128]) ).

fof(f126,plain,
    ( member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK0)
    | member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),sK1)
    | spl5_2 ),
    inference(resolution,[],[f125,f54]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X1)
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f125,plain,
    ( member(sK2(sK4(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1))),union(sK0,sK1)),union(sK0,sK1))
    | spl5_2 ),
    inference(resolution,[],[f118,f58]) ).

fof(f116,plain,
    ( spl5_3
    | spl5_4
    | spl5_1 ),
    inference(avatar_split_clause,[],[f109,f89,f114,f111]) ).

fof(f109,plain,
    ( member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK0))
    | member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),sum(sK1))
    | spl5_1 ),
    inference(resolution,[],[f54,f96]) ).

fof(f96,plain,
    ( member(sK4(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),union(sum(sK0),sum(sK1)))
    | spl5_1 ),
    inference(resolution,[],[f90,f79]) ).

fof(f94,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f87,f92,f89]) ).

fof(f87,plain,
    ( ~ subset(sum(union(sK0,sK1)),union(sum(sK0),sum(sK1)))
    | ~ subset(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))) ),
    inference(resolution,[],[f57,f53]) ).

fof(f53,plain,
    ~ equal_set(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ~ equal_set(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f24,f29]) ).

fof(f29,plain,
    ( ? [X0,X1] : ~ equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1)))
   => ~ equal_set(union(sum(sK0),sum(sK1)),sum(union(sK0,sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1] : ~ equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
    file('/export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829',thI37) ).

fof(f57,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829',equal_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET358+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n031.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 17:47:29 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ADtTTWWzKV/Vampire---4.8_12829
% 0.63/0.79  % (12944)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.63/0.79  % (12943)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.79  % (12948)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.79  % (12945)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.79  % (12946)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.79  % (12947)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.79  % (12949)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.63/0.79  % (12950)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.79  % (12947)Refutation not found, incomplete strategy% (12947)------------------------------
% 0.63/0.79  % (12947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (12947)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (12947)Memory used [KB]: 1036
% 0.63/0.79  % (12947)Time elapsed: 0.003 s
% 0.63/0.79  % (12947)Instructions burned: 3 (million)
% 0.63/0.79  % (12947)------------------------------
% 0.63/0.79  % (12947)------------------------------
% 0.63/0.79  % (12948)Refutation not found, incomplete strategy% (12948)------------------------------
% 0.63/0.79  % (12948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (12948)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (12948)Memory used [KB]: 964
% 0.63/0.79  % (12948)Time elapsed: 0.003 s
% 0.63/0.79  % (12948)Instructions burned: 2 (million)
% 0.63/0.79  % (12948)------------------------------
% 0.63/0.79  % (12948)------------------------------
% 0.63/0.80  % (12946)Refutation not found, incomplete strategy% (12946)------------------------------
% 0.63/0.80  % (12946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (12946)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (12946)Memory used [KB]: 974
% 0.63/0.80  % (12946)Time elapsed: 0.003 s
% 0.63/0.80  % (12946)Instructions burned: 2 (million)
% 0.63/0.80  % (12946)------------------------------
% 0.63/0.80  % (12946)------------------------------
% 0.63/0.80  % (12952)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.80  % (12951)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.80  % (12953)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.80  % (12951)Refutation not found, incomplete strategy% (12951)------------------------------
% 0.63/0.80  % (12951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (12951)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (12951)Memory used [KB]: 971
% 0.63/0.80  % (12951)Time elapsed: 0.002 s
% 0.63/0.80  % (12951)Instructions burned: 2 (million)
% 0.63/0.80  % (12951)------------------------------
% 0.63/0.80  % (12951)------------------------------
% 0.63/0.80  % (12954)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.80  % (12943)Instruction limit reached!
% 0.63/0.80  % (12943)------------------------------
% 0.63/0.80  % (12943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (12943)Termination reason: Unknown
% 0.63/0.80  % (12943)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (12943)Memory used [KB]: 1102
% 0.63/0.80  % (12943)Time elapsed: 0.013 s
% 0.63/0.80  % (12943)Instructions burned: 34 (million)
% 0.63/0.80  % (12943)------------------------------
% 0.63/0.80  % (12943)------------------------------
% 0.63/0.81  % (12955)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.81  % (12955)Refutation not found, incomplete strategy% (12955)------------------------------
% 0.63/0.81  % (12955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (12955)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (12955)Memory used [KB]: 1036
% 0.63/0.81  % (12955)Time elapsed: 0.003 s
% 0.63/0.81  % (12955)Instructions burned: 3 (million)
% 0.63/0.81  % (12955)------------------------------
% 0.63/0.81  % (12955)------------------------------
% 0.63/0.81  % (12954)First to succeed.
% 0.63/0.81  % (12954)Refutation found. Thanks to Tanya!
% 0.63/0.81  % SZS status Theorem for Vampire---4
% 0.63/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81  % (12954)------------------------------
% 0.63/0.81  % (12954)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (12954)Termination reason: Refutation
% 0.63/0.81  
% 0.63/0.81  % (12954)Memory used [KB]: 1086
% 0.63/0.81  % (12954)Time elapsed: 0.010 s
% 0.63/0.81  % (12954)Instructions burned: 14 (million)
% 0.63/0.81  % (12954)------------------------------
% 0.63/0.81  % (12954)------------------------------
% 0.63/0.81  % (12936)Success in time 0.491 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------