TSTP Solution File: SEU214+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU214+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n025.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 : Sun May  5 09:21:04 EDT 2024

% Result   : Theorem 1.15s 0.92s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  148 (  23 unt;   0 def)
%            Number of atoms       :  480 (  66 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  609 ( 277   ~; 272   |;  27   &)
%                                         (  18 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :  168 ( 158   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1591,plain,
    $false,
    inference(avatar_sat_refutation,[],[f295,f375,f1149,f1370,f1590]) ).

fof(f1590,plain,
    ( ~ spl25_2
    | spl25_6 ),
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | ~ spl25_2
    | spl25_6 ),
    inference(subsumption_resolution,[],[f1588,f250]) ).

fof(f250,plain,
    ( ~ in(sF20,relation_dom(sK1))
    | spl25_6 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl25_6
  <=> in(sF20,relation_dom(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f1588,plain,
    ( in(sF20,relation_dom(sK1))
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1582,f78]) ).

fof(f78,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
          & in(X0,relation_dom(relation_composition(X2,X1)))
          & function(X2)
          & relation(X2) )
      & function(X1)
      & relation(X1) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
          & in(X0,relation_dom(relation_composition(X2,X1)))
          & function(X2)
          & relation(X2) )
      & function(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( function(X1)
          & relation(X1) )
       => ! [X2] :
            ( ( function(X2)
              & relation(X2) )
           => ( in(X0,relation_dom(relation_composition(X2,X1)))
             => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',t22_funct_1) ).

fof(f1582,plain,
    ( ~ relation(sK1)
    | in(sF20,relation_dom(sK1))
    | ~ spl25_2 ),
    inference(resolution,[],[f1577,f145]) ).

fof(f145,plain,
    ! [X2,X3,X0] :
      ( ~ in(ordered_pair(X2,X3),X0)
      | ~ relation(X0)
      | in(X2,relation_dom(X0)) ),
    inference(equality_resolution,[],[f88]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X2,X3),X0)
      | in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',d4_relat_1) ).

fof(f1577,plain,
    ( in(ordered_pair(sF20,sK8(sF22,sK0)),sK1)
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1576,f157]) ).

fof(f157,plain,
    in(sK0,relation_dom(sF22)),
    inference(backward_demodulation,[],[f154,f153]) ).

fof(f153,plain,
    relation_dom(sF22) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f154,plain,
    in(sK0,sF23),
    inference(definition_folding,[],[f76,f153,f152]) ).

fof(f152,plain,
    relation_composition(sK2,sK1) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f76,plain,
    in(sK0,relation_dom(relation_composition(sK2,sK1))),
    inference(cnf_transformation,[],[f45]) ).

fof(f1576,plain,
    ( in(ordered_pair(sF20,sK8(sF22,sK0)),sK1)
    | ~ in(sK0,relation_dom(sF22))
    | ~ spl25_2 ),
    inference(superposition,[],[f391,f1569]) ).

fof(f1569,plain,
    ( sF20 = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(forward_demodulation,[],[f1568,f149]) ).

fof(f149,plain,
    apply(sK2,sK0) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f1568,plain,
    ( apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1567,f74]) ).

fof(f74,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f1567,plain,
    ( ~ relation(sK2)
    | apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1562,f75]) ).

fof(f75,plain,
    function(sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f1562,plain,
    ( ~ function(sK2)
    | ~ relation(sK2)
    | apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(resolution,[],[f1031,f271]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X1,X2),X0)
      | ~ function(X0)
      | ~ relation(X0)
      | apply(X0,X1) = X2 ),
    inference(subsumption_resolution,[],[f103,f145]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ in(X1,relation_dom(X0))
      | ~ in(ordered_pair(X1,X2),X0)
      | apply(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',d4_funct_1) ).

fof(f1031,plain,
    ( in(ordered_pair(sK0,sK5(sK2,sK1,sK0,sK8(sF22,sK0))),sK2)
    | ~ spl25_2 ),
    inference(resolution,[],[f399,f157]) ).

fof(f399,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sF22))
        | in(ordered_pair(X0,sK5(sK2,sK1,X0,sK8(sF22,X0))),sK2) )
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f395,f194]) ).

fof(f194,plain,
    ( relation(sF22)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl25_2
  <=> relation(sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f395,plain,
    ! [X0] :
      ( in(ordered_pair(X0,sK5(sK2,sK1,X0,sK8(sF22,X0))),sK2)
      | ~ relation(sF22)
      | ~ in(X0,relation_dom(sF22)) ),
    inference(resolution,[],[f321,f144]) ).

fof(f144,plain,
    ! [X2,X0] :
      ( in(ordered_pair(X2,sK8(X0,X2)),X0)
      | ~ relation(X0)
      | ~ in(X2,relation_dom(X0)) ),
    inference(equality_resolution,[],[f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(X2,sK8(X0,X2)),X0)
      | ~ in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2) ),
    inference(subsumption_resolution,[],[f320,f74]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2)
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f318,f78]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | ~ relation(sK1)
      | in(ordered_pair(X0,sK5(sK2,sK1,X0,X1)),sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f315,f152]) ).

fof(f315,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
      | ~ relation(X1)
      | in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f143,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & relation(X0) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',dt_k5_relat_1) ).

fof(f143,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
      | ~ in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f85]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(ordered_pair(X3,sK5(X0,X1,X3,X4)),X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( relation_composition(X0,X1) = X2
              <=> ! [X3,X4] :
                    ( in(ordered_pair(X3,X4),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) ) ) )
              | ~ relation(X2) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( relation_composition(X0,X1) = X2
              <=> ! [X3,X4] :
                    ( in(ordered_pair(X3,X4),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',d8_relat_1) ).

fof(f391,plain,
    ( ! [X0] :
        ( in(ordered_pair(sK5(sK2,sK1,X0,sK8(sF22,X0)),sK8(sF22,X0)),sK1)
        | ~ in(X0,relation_dom(sF22)) )
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f387,f194]) ).

fof(f387,plain,
    ! [X0] :
      ( in(ordered_pair(sK5(sK2,sK1,X0,sK8(sF22,X0)),sK8(sF22,X0)),sK1)
      | ~ relation(sF22)
      | ~ in(X0,relation_dom(sF22)) ),
    inference(resolution,[],[f309,f144]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1) ),
    inference(subsumption_resolution,[],[f308,f74]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1)
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f306,f78]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF22)
      | ~ relation(sK1)
      | in(ordered_pair(sK5(sK2,sK1,X0,X1),X1),sK1)
      | ~ relation(sK2) ),
    inference(superposition,[],[f303,f152]) ).

fof(f303,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
      | ~ relation(X1)
      | in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f142,f119]) ).

fof(f142,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f86]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(ordered_pair(sK5(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f1370,plain,
    ( ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(avatar_contradiction_clause,[],[f1369]) ).

fof(f1369,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1368,f251]) ).

fof(f251,plain,
    ( in(sF20,relation_dom(sK1))
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f1368,plain,
    ( ~ in(sF20,relation_dom(sK1))
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1157,f1343]) ).

fof(f1343,plain,
    ( ~ sP19(sK8(sK1,sF20))
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(backward_demodulation,[],[f623,f1323]) ).

fof(f1323,plain,
    ( sK8(sF22,sK0) = sK8(sK1,sF20)
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f1322,f614]) ).

fof(f614,plain,
    ( apply(sF22,sK0) = sK8(sF22,sK0)
    | ~ spl25_2 ),
    inference(resolution,[],[f536,f157]) ).

fof(f536,plain,
    ( ! [X0] :
        ( ~ in(X0,relation_dom(sF22))
        | apply(sF22,X0) = sK8(sF22,X0) )
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f531,f194]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ relation(sF22)
      | apply(sF22,X0) = sK8(sF22,X0)
      | ~ in(X0,relation_dom(sF22)) ),
    inference(resolution,[],[f284,f215]) ).

fof(f215,plain,
    function(sF22),
    inference(subsumption_resolution,[],[f214,f74]) ).

fof(f214,plain,
    ( function(sF22)
    | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f213,f79]) ).

fof(f79,plain,
    function(sK1),
    inference(cnf_transformation,[],[f45]) ).

fof(f213,plain,
    ( function(sF22)
    | ~ function(sK1)
    | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f212,f78]) ).

fof(f212,plain,
    ( function(sF22)
    | ~ relation(sK1)
    | ~ function(sK1)
    | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f211,f75]) ).

fof(f211,plain,
    ( function(sF22)
    | ~ function(sK2)
    | ~ relation(sK1)
    | ~ function(sK1)
    | ~ relation(sK2) ),
    inference(superposition,[],[f108,f152]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( function(relation_composition(X0,X1))
      | ~ function(X0)
      | ~ relation(X1)
      | ~ function(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1)
        & function(X0)
        & relation(X0) )
     => ( function(relation_composition(X0,X1))
        & relation(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oWV7GZ6bVN/Vampire---4.8_26863',fc1_funct_1) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,X1) = sK8(X0,X1)
      | ~ in(X1,relation_dom(X0)) ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | apply(X0,X1) = sK8(X0,X1)
      | ~ relation(X0)
      | ~ in(X1,relation_dom(X0)) ),
    inference(resolution,[],[f271,f144]) ).

fof(f1322,plain,
    ( apply(sF22,sK0) = sK8(sK1,sF20)
    | ~ spl25_2
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1321,f194]) ).

fof(f1321,plain,
    ( ~ relation(sF22)
    | apply(sF22,sK0) = sK8(sK1,sF20)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1316,f215]) ).

fof(f1316,plain,
    ( ~ function(sF22)
    | ~ relation(sF22)
    | apply(sF22,sK0) = sK8(sK1,sF20)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(resolution,[],[f1255,f271]) ).

fof(f1255,plain,
    ( in(ordered_pair(sK0,sK8(sK1,sF20)),sF22)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(forward_demodulation,[],[f1254,f152]) ).

fof(f1254,plain,
    ( in(ordered_pair(sK0,sK8(sK1,sF20)),relation_composition(sK2,sK1))
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1253,f74]) ).

fof(f1253,plain,
    ( in(ordered_pair(sK0,sK8(sK1,sF20)),relation_composition(sK2,sK1))
    | ~ relation(sK2)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1252,f290]) ).

fof(f290,plain,
    ( in(sK0,relation_dom(sK2))
    | ~ spl25_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl25_10
  <=> in(sK0,relation_dom(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).

fof(f1252,plain,
    ( in(ordered_pair(sK0,sK8(sK1,sF20)),relation_composition(sK2,sK1))
    | ~ in(sK0,relation_dom(sK2))
    | ~ relation(sK2)
    | ~ spl25_6
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1250,f251]) ).

fof(f1250,plain,
    ( ~ in(sF20,relation_dom(sK1))
    | in(ordered_pair(sK0,sK8(sK1,sF20)),relation_composition(sK2,sK1))
    | ~ in(sK0,relation_dom(sK2))
    | ~ relation(sK2)
    | ~ spl25_10 ),
    inference(superposition,[],[f595,f1165]) ).

fof(f1165,plain,
    ( sF20 = sK8(sK2,sK0)
    | ~ spl25_10 ),
    inference(subsumption_resolution,[],[f1161,f290]) ).

fof(f1161,plain,
    ( sF20 = sK8(sK2,sK0)
    | ~ in(sK0,relation_dom(sK2)) ),
    inference(superposition,[],[f149,f534]) ).

fof(f534,plain,
    ! [X0] :
      ( apply(sK2,X0) = sK8(sK2,X0)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(subsumption_resolution,[],[f529,f74]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ relation(sK2)
      | apply(sK2,X0) = sK8(sK2,X0)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(resolution,[],[f284,f75]) ).

fof(f595,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),relation_dom(sK1))
      | in(ordered_pair(X1,sK8(sK1,sK8(X0,X1))),relation_composition(X0,sK1))
      | ~ in(X1,relation_dom(X0))
      | ~ relation(X0) ),
    inference(subsumption_resolution,[],[f592,f78]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(sK1)
      | in(ordered_pair(X1,sK8(sK1,sK8(X0,X1))),relation_composition(X0,sK1))
      | ~ in(X1,relation_dom(X0))
      | ~ in(sK8(X0,X1),relation_dom(sK1)) ),
    inference(resolution,[],[f325,f578]) ).

fof(f578,plain,
    ! [X0] :
      ( in(ordered_pair(X0,sK8(sK1,X0)),sK1)
      | ~ in(X0,relation_dom(sK1)) ),
    inference(backward_subsumption_demodulation,[],[f267,f533]) ).

fof(f533,plain,
    ! [X0] :
      ( apply(sK1,X0) = sK8(sK1,X0)
      | ~ in(X0,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f528,f78]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ relation(sK1)
      | apply(sK1,X0) = sK8(sK1,X0)
      | ~ in(X0,relation_dom(sK1)) ),
    inference(resolution,[],[f284,f79]) ).

fof(f267,plain,
    ! [X0] :
      ( in(ordered_pair(X0,apply(sK1,X0)),sK1)
      | ~ in(X0,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f261,f78]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ relation(sK1)
      | ~ in(X0,relation_dom(sK1))
      | in(ordered_pair(X0,apply(sK1,X0)),sK1) ),
    inference(resolution,[],[f146,f79]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ in(X1,relation_dom(X0))
      | in(ordered_pair(X1,apply(X0,X1)),X0) ),
    inference(equality_resolution,[],[f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ in(X1,relation_dom(X0))
      | in(ordered_pair(X1,X2),X0)
      | apply(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f325,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(sK8(X1,X2),X3),X0)
      | ~ relation(X1)
      | ~ relation(X0)
      | in(ordered_pair(X2,X3),relation_composition(X1,X0))
      | ~ in(X2,relation_dom(X1)) ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ in(ordered_pair(sK8(X1,X2),X3),X0)
      | in(ordered_pair(X2,X3),relation_composition(X1,X0))
      | ~ relation(X1)
      | ~ in(X2,relation_dom(X1)) ),
    inference(resolution,[],[f322,f144]) ).

fof(f322,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ in(ordered_pair(X3,X5),X0)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ in(ordered_pair(X5,X4),X1)
      | in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
    inference(subsumption_resolution,[],[f141,f119]) ).

fof(f141,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | ~ in(ordered_pair(X3,X5),X0)
      | ~ in(ordered_pair(X5,X4),X1)
      | in(ordered_pair(X3,X4),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f87]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ in(ordered_pair(X3,X5),X0)
      | ~ in(ordered_pair(X5,X4),X1)
      | in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f623,plain,
    ( ~ sP19(sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(backward_demodulation,[],[f171,f614]) ).

fof(f171,plain,
    ~ sP19(apply(sF22,sK0)),
    inference(backward_demodulation,[],[f156,f155]) ).

fof(f155,plain,
    apply(sF22,sK0) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f156,plain,
    ~ sP19(sF24),
    inference(definition_folding,[],[f139,f155,f152]) ).

fof(f139,plain,
    ~ sP19(apply(relation_composition(sK2,sK1),sK0)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP19])]) ).

fof(f1157,plain,
    ( sP19(sK8(sK1,sF20))
    | ~ in(sF20,relation_dom(sK1)) ),
    inference(superposition,[],[f168,f533]) ).

fof(f168,plain,
    sP19(apply(sK1,sF20)),
    inference(backward_demodulation,[],[f151,f150]) ).

fof(f150,plain,
    apply(sK1,sF20) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f151,plain,
    sP19(sF21),
    inference(definition_folding,[],[f140,f150,f149]) ).

fof(f140,plain,
    sP19(apply(sK1,apply(sK2,sK0))),
    inference(inequality_splitting,[],[f77,f139]) ).

fof(f77,plain,
    apply(relation_composition(sK2,sK1),sK0) != apply(sK1,apply(sK2,sK0)),
    inference(cnf_transformation,[],[f45]) ).

fof(f1149,plain,
    ( ~ spl25_2
    | ~ spl25_11 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1139,f439]) ).

fof(f439,plain,
    ( sP19(apply(sK1,empty_set))
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f168,f294]) ).

fof(f294,plain,
    ( empty_set = sF20
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl25_11
  <=> empty_set = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f1139,plain,
    ( ~ sP19(apply(sK1,empty_set))
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f623,f1132]) ).

fof(f1132,plain,
    ( apply(sK1,empty_set) = sK8(sF22,sK0)
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1131,f78]) ).

fof(f1131,plain,
    ( ~ relation(sK1)
    | apply(sK1,empty_set) = sK8(sF22,sK0)
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1126,f79]) ).

fof(f1126,plain,
    ( ~ function(sK1)
    | ~ relation(sK1)
    | apply(sK1,empty_set) = sK8(sF22,sK0)
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(resolution,[],[f1124,f271]) ).

fof(f1124,plain,
    ( in(ordered_pair(empty_set,sK8(sF22,sK0)),sK1)
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(subsumption_resolution,[],[f1123,f157]) ).

fof(f1123,plain,
    ( in(ordered_pair(empty_set,sK8(sF22,sK0)),sK1)
    | ~ in(sK0,relation_dom(sF22))
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(superposition,[],[f391,f1109]) ).

fof(f1109,plain,
    ( empty_set = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2
    | ~ spl25_11 ),
    inference(forward_demodulation,[],[f1108,f437]) ).

fof(f437,plain,
    ( empty_set = apply(sK2,sK0)
    | ~ spl25_11 ),
    inference(backward_demodulation,[],[f149,f294]) ).

fof(f1108,plain,
    ( apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1107,f74]) ).

fof(f1107,plain,
    ( ~ relation(sK2)
    | apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f1102,f75]) ).

fof(f1102,plain,
    ( ~ function(sK2)
    | ~ relation(sK2)
    | apply(sK2,sK0) = sK5(sK2,sK1,sK0,sK8(sF22,sK0))
    | ~ spl25_2 ),
    inference(resolution,[],[f1031,f271]) ).

fof(f375,plain,
    spl25_2,
    inference(avatar_split_clause,[],[f200,f192]) ).

fof(f200,plain,
    relation(sF22),
    inference(subsumption_resolution,[],[f199,f74]) ).

fof(f199,plain,
    ( relation(sF22)
    | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f198,f78]) ).

fof(f198,plain,
    ( relation(sF22)
    | ~ relation(sK1)
    | ~ relation(sK2) ),
    inference(superposition,[],[f119,f152]) ).

fof(f295,plain,
    ( spl25_10
    | spl25_11 ),
    inference(avatar_split_clause,[],[f243,f292,f288]) ).

fof(f243,plain,
    ( empty_set = sF20
    | in(sK0,relation_dom(sK2)) ),
    inference(subsumption_resolution,[],[f242,f74]) ).

fof(f242,plain,
    ( empty_set = sF20
    | in(sK0,relation_dom(sK2))
    | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f238,f75]) ).

fof(f238,plain,
    ( empty_set = sF20
    | ~ function(sK2)
    | in(sK0,relation_dom(sK2))
    | ~ relation(sK2) ),
    inference(superposition,[],[f147,f149]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( apply(X0,X1) = empty_set
      | ~ function(X0)
      | in(X1,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f102]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | in(X1,relation_dom(X0))
      | empty_set = X2
      | apply(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU214+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 11:39:28 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.oWV7GZ6bVN/Vampire---4.8_26863
% 0.64/0.81  % (27203)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)
% 0.64/0.81  % (27205)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81  % (27209)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)
% 0.64/0.81  % (27204)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)
% 0.64/0.81  % (27206)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)
% 0.64/0.81  % (27207)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)
% 0.64/0.81  % (27208)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)
% 0.64/0.81  % (27210)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)
% 0.64/0.81  % (27208)Refutation not found, incomplete strategy% (27208)------------------------------
% 0.64/0.81  % (27208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (27208)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (27208)Memory used [KB]: 1069
% 0.64/0.81  % (27208)Time elapsed: 0.004 s
% 0.64/0.81  % (27208)Instructions burned: 4 (million)
% 0.64/0.81  % (27208)------------------------------
% 0.64/0.81  % (27208)------------------------------
% 0.64/0.81  % (27210)Refutation not found, incomplete strategy% (27210)------------------------------
% 0.64/0.81  % (27210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (27210)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (27210)Memory used [KB]: 1157
% 0.64/0.81  % (27210)Time elapsed: 0.005 s
% 0.64/0.81  % (27210)Instructions burned: 7 (million)
% 0.64/0.81  % (27210)------------------------------
% 0.64/0.81  % (27210)------------------------------
% 0.64/0.82  % (27211)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)
% 0.64/0.82  % (27212)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)
% 0.64/0.83  % (27203)Instruction limit reached!
% 0.64/0.83  % (27203)------------------------------
% 0.64/0.83  % (27203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (27203)Termination reason: Unknown
% 0.64/0.83  % (27203)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (27203)Memory used [KB]: 1537
% 0.64/0.83  % (27203)Time elapsed: 0.020 s
% 0.64/0.83  % (27203)Instructions burned: 35 (million)
% 0.64/0.83  % (27203)------------------------------
% 0.64/0.83  % (27203)------------------------------
% 0.64/0.83  % (27206)Instruction limit reached!
% 0.64/0.83  % (27206)------------------------------
% 0.64/0.83  % (27206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (27206)Termination reason: Unknown
% 0.64/0.83  % (27206)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (27206)Memory used [KB]: 1559
% 0.64/0.83  % (27206)Time elapsed: 0.020 s
% 0.64/0.83  % (27206)Instructions burned: 33 (million)
% 0.64/0.83  % (27206)------------------------------
% 0.64/0.83  % (27206)------------------------------
% 0.64/0.83  % (27207)Instruction limit reached!
% 0.64/0.83  % (27207)------------------------------
% 0.64/0.83  % (27207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83  % (27207)Termination reason: Unknown
% 0.64/0.83  % (27207)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (27207)Memory used [KB]: 1562
% 0.64/0.83  % (27207)Time elapsed: 0.022 s
% 0.64/0.83  % (27207)Instructions burned: 34 (million)
% 0.64/0.83  % (27207)------------------------------
% 0.64/0.83  % (27207)------------------------------
% 0.64/0.83  % (27213)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)
% 0.64/0.83  % (27214)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)
% 0.64/0.83  % (27215)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)
% 0.64/0.84  % (27215)Refutation not found, incomplete strategy% (27215)------------------------------
% 0.64/0.84  % (27215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (27215)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84  
% 0.64/0.84  % (27215)Memory used [KB]: 1142
% 0.64/0.84  % (27215)Time elapsed: 0.006 s
% 0.64/0.84  % (27215)Instructions burned: 7 (million)
% 0.64/0.84  % (27215)------------------------------
% 0.64/0.84  % (27215)------------------------------
% 0.64/0.84  % (27204)Instruction limit reached!
% 0.64/0.84  % (27204)------------------------------
% 0.64/0.84  % (27204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (27204)Termination reason: Unknown
% 0.64/0.84  % (27204)Termination phase: Saturation
% 0.64/0.84  
% 0.64/0.84  % (27204)Memory used [KB]: 1469
% 0.64/0.84  % (27204)Time elapsed: 0.031 s
% 0.64/0.84  % (27204)Instructions burned: 51 (million)
% 0.64/0.84  % (27204)------------------------------
% 0.64/0.84  % (27204)------------------------------
% 0.64/0.84  % (27212)Instruction limit reached!
% 0.64/0.84  % (27212)------------------------------
% 0.64/0.84  % (27212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (27212)Termination reason: Unknown
% 0.64/0.84  % (27212)Termination phase: Saturation
% 0.64/0.84  
% 0.64/0.84  % (27212)Memory used [KB]: 1715
% 0.64/0.84  % (27212)Time elapsed: 0.025 s
% 0.64/0.84  % (27212)Instructions burned: 50 (million)
% 0.64/0.84  % (27212)------------------------------
% 0.64/0.84  % (27212)------------------------------
% 0.64/0.84  % (27216)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.64/0.84  % (27217)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.64/0.84  % (27211)Instruction limit reached!
% 0.64/0.84  % (27211)------------------------------
% 0.64/0.84  % (27211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (27211)Termination reason: Unknown
% 0.64/0.84  % (27211)Termination phase: Saturation
% 0.64/0.84  
% 0.64/0.84  % (27211)Memory used [KB]: 2031
% 0.64/0.84  % (27211)Time elapsed: 0.029 s
% 0.64/0.84  % (27211)Instructions burned: 55 (million)
% 0.64/0.84  % (27211)------------------------------
% 0.64/0.84  % (27211)------------------------------
% 0.64/0.84  % (27218)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.64/0.84  % (27209)Instruction limit reached!
% 0.64/0.84  % (27209)------------------------------
% 0.64/0.84  % (27209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84  % (27209)Termination reason: Unknown
% 0.64/0.84  % (27209)Termination phase: Saturation
% 0.64/0.84  
% 0.64/0.84  % (27209)Memory used [KB]: 1505
% 0.64/0.84  % (27209)Time elapsed: 0.036 s
% 0.64/0.84  % (27209)Instructions burned: 83 (million)
% 0.64/0.84  % (27209)------------------------------
% 0.64/0.84  % (27209)------------------------------
% 0.64/0.85  % (27219)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.64/0.85  % (27220)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.87/0.86  % (27205)Instruction limit reached!
% 0.87/0.86  % (27205)------------------------------
% 0.87/0.86  % (27205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.86  % (27205)Termination reason: Unknown
% 0.87/0.86  % (27205)Termination phase: Saturation
% 0.87/0.86  
% 0.87/0.86  % (27205)Memory used [KB]: 1827
% 0.87/0.86  % (27205)Time elapsed: 0.049 s
% 0.87/0.86  % (27205)Instructions burned: 79 (million)
% 0.87/0.86  % (27205)------------------------------
% 0.87/0.86  % (27205)------------------------------
% 0.87/0.86  % (27221)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.87/0.86  % (27214)Instruction limit reached!
% 0.87/0.86  % (27214)------------------------------
% 0.87/0.86  % (27214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.86  % (27214)Termination reason: Unknown
% 0.87/0.86  % (27214)Termination phase: Saturation
% 0.87/0.86  
% 0.87/0.86  % (27214)Memory used [KB]: 1606
% 0.87/0.86  % (27214)Time elapsed: 0.033 s
% 0.87/0.86  % (27214)Instructions burned: 52 (million)
% 0.87/0.86  % (27214)------------------------------
% 0.87/0.86  % (27214)------------------------------
% 0.87/0.87  % (27222)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.87/0.87  % (27216)Instruction limit reached!
% 0.87/0.87  % (27216)------------------------------
% 0.87/0.87  % (27216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.87/0.87  % (27216)Termination reason: Unknown
% 0.87/0.87  % (27216)Termination phase: Saturation
% 0.87/0.87  
% 0.87/0.87  % (27216)Memory used [KB]: 1593
% 0.87/0.87  % (27216)Time elapsed: 0.028 s
% 0.87/0.87  % (27216)Instructions burned: 43 (million)
% 0.87/0.87  % (27216)------------------------------
% 0.87/0.87  % (27216)------------------------------
% 0.98/0.87  % (27223)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.98/0.88  % (27222)Instruction limit reached!
% 0.98/0.88  % (27222)------------------------------
% 0.98/0.88  % (27222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.88  % (27222)Termination reason: Unknown
% 0.98/0.88  % (27222)Termination phase: Saturation
% 0.98/0.88  
% 0.98/0.88  % (27222)Memory used [KB]: 1238
% 0.98/0.88  % (27222)Time elapsed: 0.020 s
% 0.98/0.88  % (27222)Instructions burned: 33 (million)
% 0.98/0.88  % (27222)------------------------------
% 0.98/0.88  % (27222)------------------------------
% 0.98/0.89  % (27224)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.98/0.89  % (27220)Instruction limit reached!
% 0.98/0.89  % (27220)------------------------------
% 0.98/0.89  % (27220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.89  % (27220)Termination reason: Unknown
% 0.98/0.89  % (27220)Termination phase: Saturation
% 0.98/0.89  
% 0.98/0.89  % (27220)Memory used [KB]: 1843
% 0.98/0.89  % (27220)Time elapsed: 0.050 s
% 0.98/0.89  % (27220)Instructions burned: 93 (million)
% 0.98/0.89  % (27220)------------------------------
% 0.98/0.89  % (27220)------------------------------
% 0.98/0.90  % (27221)Instruction limit reached!
% 0.98/0.90  % (27221)------------------------------
% 0.98/0.90  % (27221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.90  % (27221)Termination reason: Unknown
% 0.98/0.90  % (27221)Termination phase: Saturation
% 0.98/0.90  
% 0.98/0.90  % (27221)Memory used [KB]: 2463
% 0.98/0.90  % (27221)Time elapsed: 0.039 s
% 0.98/0.90  % (27221)Instructions burned: 63 (million)
% 0.98/0.90  % (27221)------------------------------
% 0.98/0.90  % (27221)------------------------------
% 0.98/0.90  % (27225)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.98/0.90  % (27226)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.98/0.90  % (27218)Instruction limit reached!
% 0.98/0.90  % (27218)------------------------------
% 0.98/0.90  % (27218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.90  % (27218)Termination reason: Unknown
% 0.98/0.90  % (27218)Termination phase: Saturation
% 0.98/0.90  
% 0.98/0.90  % (27218)Memory used [KB]: 2007
% 0.98/0.90  % (27218)Time elapsed: 0.062 s
% 0.98/0.90  % (27218)Instructions burned: 118 (million)
% 0.98/0.90  % (27218)------------------------------
% 0.98/0.90  % (27218)------------------------------
% 0.98/0.91  % (27227)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.15/0.91  % (27217)First to succeed.
% 1.15/0.91  % (27217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27111"
% 1.15/0.92  % (27217)Refutation found. Thanks to Tanya!
% 1.15/0.92  % SZS status Theorem for Vampire---4
% 1.15/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 1.15/0.92  % (27217)------------------------------
% 1.15/0.92  % (27217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.15/0.92  % (27217)Termination reason: Refutation
% 1.15/0.92  
% 1.15/0.92  % (27217)Memory used [KB]: 1758
% 1.15/0.92  % (27217)Time elapsed: 0.075 s
% 1.15/0.92  % (27217)Instructions burned: 121 (million)
% 1.15/0.92  % (27111)Success in time 0.537 s
% 1.15/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------