TSTP Solution File: SEU207+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU207+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n015.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 03:50:41 EDT 2024

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   96 (   8 unt;   0 def)
%            Number of atoms       :  338 (  32 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  446 ( 204   ~; 209   |;   7   &)
%                                         (  16 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-4 aty)
%            Number of variables   :  170 ( 162   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f593,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f248,f529,f592]) ).

fof(f592,plain,
    ( ~ spl19_6
    | spl19_7
    | ~ spl19_8 ),
    inference(avatar_contradiction_clause,[],[f591]) ).

fof(f591,plain,
    ( $false
    | ~ spl19_6
    | spl19_7
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f590,f242]) ).

fof(f242,plain,
    ( ~ in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15)))
    | spl19_7 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl19_7
  <=> in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).

fof(f590,plain,
    ( in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15)))
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(resolution,[],[f582,f568]) ).

fof(f568,plain,
    ( in(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),relation_rng(sK15))
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f562,f103]) ).

fof(f103,plain,
    relation(sK15),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ? [X0] :
      ( ? [X1] :
          ( relation_rng(relation_composition(X0,X1)) != relation_image(X1,relation_rng(X0))
          & relation(X1) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZHENGFGd6s/Vampire---4.8_7335',t160_relat_1) ).

fof(f562,plain,
    ( ~ relation(sK15)
    | in(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),relation_rng(sK15))
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(resolution,[],[f549,f130]) ).

fof(f130,plain,
    ! [X2,X3,X0] :
      ( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
      | ~ relation(X0)
      | in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
      | in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f69,f73]) ).

fof(f73,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/tmp/tmp.ZHENGFGd6s/Vampire---4.8_7335',d5_tarski) ).

fof(f69,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X3,X2),X0)
      | in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZHENGFGd6s/Vampire---4.8_7335',d5_relat_1) ).

fof(f549,plain,
    ( in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK15)
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f548,f103]) ).

fof(f548,plain,
    ( in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK15)
    | ~ relation(sK15)
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f547,f225]) ).

fof(f225,plain,
    ( relation(relation_composition(sK15,sK16))
    | ~ spl19_6 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl19_6
  <=> relation(relation_composition(sK15,sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

fof(f547,plain,
    ( ~ relation(relation_composition(sK15,sK16))
    | in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK15)
    | ~ relation(sK15)
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f537,f101]) ).

fof(f101,plain,
    relation(sK16),
    inference(cnf_transformation,[],[f52]) ).

fof(f537,plain,
    ( ~ relation(sK16)
    | ~ relation(relation_composition(sK15,sK16))
    | in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK15)
    | ~ relation(sK15)
    | ~ spl19_8 ),
    inference(resolution,[],[f247,f133]) ).

fof(f133,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | in(unordered_pair(unordered_pair(X3,sK8(X0,X1,X3,X4)),singleton(X3)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f121]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(X3,sK8(X0,X1,X3,X4)),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f77,f73,f73]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(ordered_pair(X3,sK8(X0,X1,X3,X4)),X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,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,[],[f7]) ).

fof(f7,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.ZHENGFGd6s/Vampire---4.8_7335',d8_relat_1) ).

fof(f247,plain,
    ( in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),relation_composition(sK15,sK16))
    | ~ spl19_8 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl19_8
  <=> in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),relation_composition(sK15,sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

fof(f582,plain,
    ( ! [X0] :
        ( ~ in(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),X0)
        | in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,X0)) )
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f576,f101]) ).

fof(f576,plain,
    ( ! [X0] :
        ( ~ relation(sK16)
        | ~ in(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),X0)
        | in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,X0)) )
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(resolution,[],[f546,f126]) ).

fof(f126,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
      | ~ relation(X0)
      | ~ in(X4,X1)
      | in(X3,relation_image(X0,X1)) ),
    inference(equality_resolution,[],[f111]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
      | ~ in(X4,X1)
      | in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f68,f73]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X4,X3),X0)
      | ~ in(X4,X1)
      | in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X4,X3),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZHENGFGd6s/Vampire---4.8_7335',d13_relat_1) ).

fof(f546,plain,
    ( in(unordered_pair(unordered_pair(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f545,f103]) ).

fof(f545,plain,
    ( in(unordered_pair(unordered_pair(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ relation(sK15)
    | ~ spl19_6
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f544,f225]) ).

fof(f544,plain,
    ( ~ relation(relation_composition(sK15,sK16))
    | in(unordered_pair(unordered_pair(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ relation(sK15)
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f536,f101]) ).

fof(f536,plain,
    ( ~ relation(sK16)
    | ~ relation(relation_composition(sK15,sK16))
    | in(unordered_pair(unordered_pair(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK8(sK15,sK16,sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ relation(sK15)
    | ~ spl19_8 ),
    inference(resolution,[],[f247,f132]) ).

fof(f132,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | in(unordered_pair(unordered_pair(sK8(X0,X1,X3,X4),X4),singleton(sK8(X0,X1,X3,X4))),X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f120]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(sK8(X0,X1,X3,X4),X4),singleton(sK8(X0,X1,X3,X4))),X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f78,f73,f73]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | in(ordered_pair(sK8(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f529,plain,
    ( ~ spl19_6
    | ~ spl19_7 ),
    inference(avatar_contradiction_clause,[],[f528]) ).

fof(f528,plain,
    ( $false
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f527,f257]) ).

fof(f257,plain,
    ( ! [X0] : ~ in(unordered_pair(unordered_pair(X0,sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(X0)),relation_composition(sK15,sK16))
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f256,f144]) ).

fof(f144,plain,
    ~ sQ18_eqProxy(relation_rng(relation_composition(sK15,sK16)),relation_image(sK16,relation_rng(sK15))),
    inference(equality_proxy_replacement,[],[f102,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( sQ18_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ18_eqProxy])]) ).

fof(f102,plain,
    relation_rng(relation_composition(sK15,sK16)) != relation_image(sK16,relation_rng(sK15)),
    inference(cnf_transformation,[],[f52]) ).

fof(f256,plain,
    ( ! [X0] :
        ( ~ in(unordered_pair(unordered_pair(X0,sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(X0)),relation_composition(sK15,sK16))
        | sQ18_eqProxy(relation_rng(relation_composition(sK15,sK16)),relation_image(sK16,relation_rng(sK15))) )
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f250,f225]) ).

fof(f250,plain,
    ( ! [X0] :
        ( ~ in(unordered_pair(unordered_pair(X0,sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(X0)),relation_composition(sK15,sK16))
        | ~ relation(relation_composition(sK15,sK16))
        | sQ18_eqProxy(relation_rng(relation_composition(sK15,sK16)),relation_image(sK16,relation_rng(sK15))) )
    | ~ spl19_7 ),
    inference(resolution,[],[f243,f139]) ).

fof(f139,plain,
    ! [X3,X0,X1] :
      ( ~ in(sK3(X0,X1),X1)
      | ~ in(unordered_pair(unordered_pair(X3,sK3(X0,X1)),singleton(X3)),X0)
      | ~ relation(X0)
      | sQ18_eqProxy(relation_rng(X0),X1) ),
    inference(equality_proxy_replacement,[],[f115,f134]) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,sK3(X0,X1)),singleton(X3)),X0)
      | ~ in(sK3(X0,X1),X1)
      | relation_rng(X0) = X1 ),
    inference(definition_unfolding,[],[f72,f73]) ).

fof(f72,plain,
    ! [X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X3,sK3(X0,X1)),X0)
      | ~ in(sK3(X0,X1),X1)
      | relation_rng(X0) = X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f243,plain,
    ( in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15)))
    | ~ spl19_7 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f527,plain,
    ( in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),relation_composition(sK15,sK16))
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f526,f101]) ).

fof(f526,plain,
    ( ~ relation(sK16)
    | in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),relation_composition(sK15,sK16))
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f525,f225]) ).

fof(f525,plain,
    ( ~ relation(relation_composition(sK15,sK16))
    | ~ relation(sK16)
    | in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),relation_composition(sK15,sK16))
    | ~ spl19_7 ),
    inference(resolution,[],[f430,f258]) ).

fof(f258,plain,
    ( in(unordered_pair(unordered_pair(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f251,f101]) ).

fof(f251,plain,
    ( in(unordered_pair(unordered_pair(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),sK16)
    | ~ relation(sK16)
    | ~ spl19_7 ),
    inference(resolution,[],[f243,f128]) ).

fof(f128,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,relation_image(X0,X1))
      | in(unordered_pair(unordered_pair(sK1(X0,X1,X3),X3),singleton(sK1(X0,X1,X3))),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK1(X0,X1,X3),X3),singleton(sK1(X0,X1,X3))),X0)
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f66,f73]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(sK1(X0,X1,X3),X3),X0)
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f430,plain,
    ( ! [X0,X1] :
        ( ~ in(unordered_pair(unordered_pair(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),X1),singleton(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),X0)
        | ~ relation(relation_composition(sK15,X0))
        | ~ relation(X0)
        | in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),X1),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),relation_composition(sK15,X0)) )
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f424,f103]) ).

fof(f424,plain,
    ( ! [X0,X1] :
        ( ~ relation(X0)
        | ~ relation(relation_composition(sK15,X0))
        | ~ relation(sK15)
        | ~ in(unordered_pair(unordered_pair(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),X1),singleton(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))))),X0)
        | in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),X1),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),relation_composition(sK15,X0)) )
    | ~ spl19_7 ),
    inference(resolution,[],[f265,f131]) ).

fof(f131,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X0)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f119]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_composition(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f79,f73,f73,f73]) ).

fof(f79,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,[],[f42]) ).

fof(f265,plain,
    ( in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),sK15)
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f261,f103]) ).

fof(f261,plain,
    ( in(unordered_pair(unordered_pair(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),singleton(sK4(sK15,sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))))),sK15)
    | ~ relation(sK15)
    | ~ spl19_7 ),
    inference(resolution,[],[f259,f129]) ).

fof(f129,plain,
    ! [X2,X0] :
      ( ~ in(X2,relation_rng(X0))
      | in(unordered_pair(unordered_pair(sK4(X0,X2),X2),singleton(sK4(X0,X2))),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK4(X0,X2),X2),singleton(sK4(X0,X2))),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f70,f73]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(sK4(X0,X2),X2),X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f259,plain,
    ( in(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),relation_rng(sK15))
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f252,f101]) ).

fof(f252,plain,
    ( in(sK1(sK16,relation_rng(sK15),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),relation_rng(sK15))
    | ~ relation(sK16)
    | ~ spl19_7 ),
    inference(resolution,[],[f243,f127]) ).

fof(f127,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,relation_image(X0,X1))
      | in(sK1(X0,X1,X3),X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(sK1(X0,X1,X3),X1)
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f248,plain,
    ( spl19_7
    | spl19_8
    | ~ spl19_6 ),
    inference(avatar_split_clause,[],[f239,f224,f245,f241]) ).

fof(f239,plain,
    ( in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),relation_composition(sK15,sK16))
    | in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15)))
    | ~ spl19_6 ),
    inference(subsumption_resolution,[],[f238,f225]) ).

fof(f238,plain,
    ( in(unordered_pair(unordered_pair(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15)))),singleton(sK5(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))))),relation_composition(sK15,sK16))
    | in(sK3(relation_composition(sK15,sK16),relation_image(sK16,relation_rng(sK15))),relation_image(sK16,relation_rng(sK15)))
    | ~ relation(relation_composition(sK15,sK16)) ),
    inference(resolution,[],[f140,f144]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( sQ18_eqProxy(relation_rng(X0),X1)
      | in(unordered_pair(unordered_pair(sK5(X0,X1),sK3(X0,X1)),singleton(sK5(X0,X1))),X0)
      | in(sK3(X0,X1),X1)
      | ~ relation(X0) ),
    inference(equality_proxy_replacement,[],[f116,f134]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK5(X0,X1),sK3(X0,X1)),singleton(sK5(X0,X1))),X0)
      | in(sK3(X0,X1),X1)
      | relation_rng(X0) = X1 ),
    inference(definition_unfolding,[],[f71,f73]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(sK5(X0,X1),sK3(X0,X1)),X0)
      | in(sK3(X0,X1),X1)
      | relation_rng(X0) = X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f234,plain,
    spl19_6,
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl19_6 ),
    inference(subsumption_resolution,[],[f232,f103]) ).

fof(f232,plain,
    ( ~ relation(sK15)
    | spl19_6 ),
    inference(subsumption_resolution,[],[f231,f101]) ).

fof(f231,plain,
    ( ~ relation(sK16)
    | ~ relation(sK15)
    | spl19_6 ),
    inference(resolution,[],[f226,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & relation(X0) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZHENGFGd6s/Vampire---4.8_7335',dt_k5_relat_1) ).

fof(f226,plain,
    ( ~ relation(relation_composition(sK15,sK16))
    | spl19_6 ),
    inference(avatar_component_clause,[],[f224]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU207+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:32:18 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.ZHENGFGd6s/Vampire---4.8_7335
% 0.57/0.76  % (7712)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 (2996ds/56Mi)
% 0.57/0.76  % (7704)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 (2996ds/34Mi)
% 0.57/0.76  % (7706)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (7705)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 (2996ds/51Mi)
% 0.57/0.76  % (7709)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 (2996ds/34Mi)
% 0.57/0.76  % (7710)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76  % (7708)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.76  % (7711)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 (2996ds/83Mi)
% 0.57/0.76  % (7712)Refutation not found, incomplete strategy% (7712)------------------------------
% 0.57/0.76  % (7712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7712)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7712)Memory used [KB]: 1084
% 0.57/0.76  % (7712)Time elapsed: 0.003 s
% 0.57/0.76  % (7712)Instructions burned: 5 (million)
% 0.57/0.76  % (7712)------------------------------
% 0.57/0.76  % (7712)------------------------------
% 0.57/0.77  % (7710)Refutation not found, incomplete strategy% (7710)------------------------------
% 0.57/0.77  % (7710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (7710)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (7710)Memory used [KB]: 1052
% 0.57/0.77  % (7710)Time elapsed: 0.004 s
% 0.57/0.77  % (7710)Instructions burned: 4 (million)
% 0.57/0.77  % (7710)------------------------------
% 0.57/0.77  % (7710)------------------------------
% 0.57/0.77  % (7717)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 (2996ds/55Mi)
% 0.57/0.77  % (7718)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 (2996ds/50Mi)
% 0.57/0.78  % (7708)Instruction limit reached!
% 0.57/0.78  % (7708)------------------------------
% 0.57/0.78  % (7708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (7708)Termination reason: Unknown
% 0.57/0.78  % (7708)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (7708)Memory used [KB]: 1438
% 0.57/0.78  % (7708)Time elapsed: 0.019 s
% 0.57/0.78  % (7708)Instructions burned: 33 (million)
% 0.57/0.78  % (7708)------------------------------
% 0.57/0.78  % (7708)------------------------------
% 0.63/0.78  % (7704)Instruction limit reached!
% 0.63/0.78  % (7704)------------------------------
% 0.63/0.78  % (7704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7704)Termination reason: Unknown
% 0.63/0.78  % (7704)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (7704)Memory used [KB]: 1406
% 0.63/0.78  % (7704)Time elapsed: 0.022 s
% 0.63/0.78  % (7704)Instructions burned: 34 (million)
% 0.63/0.78  % (7704)------------------------------
% 0.63/0.78  % (7704)------------------------------
% 0.63/0.78  % (7717)Instruction limit reached!
% 0.63/0.78  % (7717)------------------------------
% 0.63/0.78  % (7717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7717)Termination reason: Unknown
% 0.63/0.78  % (7717)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (7717)Memory used [KB]: 1774
% 0.63/0.78  % (7717)Time elapsed: 0.018 s
% 0.63/0.78  % (7717)Instructions burned: 57 (million)
% 0.63/0.78  % (7717)------------------------------
% 0.63/0.78  % (7717)------------------------------
% 0.63/0.78  % (7709)Instruction limit reached!
% 0.63/0.78  % (7709)------------------------------
% 0.63/0.78  % (7709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (7709)Termination reason: Unknown
% 0.63/0.78  % (7709)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (7709)Memory used [KB]: 1531
% 0.63/0.78  % (7709)Time elapsed: 0.023 s
% 0.63/0.78  % (7709)Instructions burned: 35 (million)
% 0.63/0.78  % (7709)------------------------------
% 0.63/0.78  % (7709)------------------------------
% 0.63/0.79  % (7727)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)
% 0.63/0.79  % (7732)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)
% 0.63/0.79  % (7733)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)
% 0.63/0.79  % (7736)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)
% 0.63/0.79  % (7705)Instruction limit reached!
% 0.63/0.79  % (7705)------------------------------
% 0.63/0.79  % (7705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (7705)Termination reason: Unknown
% 0.63/0.79  % (7705)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (7705)Memory used [KB]: 1354
% 0.63/0.79  % (7705)Time elapsed: 0.029 s
% 0.63/0.79  % (7705)Instructions burned: 51 (million)
% 0.63/0.79  % (7705)------------------------------
% 0.63/0.79  % (7705)------------------------------
% 0.63/0.79  % (7733)Refutation not found, incomplete strategy% (7733)------------------------------
% 0.63/0.79  % (7733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  % (7733)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  % (7736)Refutation not found, incomplete strategy% (7736)------------------------------
% 0.63/0.79  % (7736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79  
% 0.63/0.79  % (7733)Memory used [KB]: 1120
% 0.63/0.79  % (7733)Time elapsed: 0.006 s
% 0.63/0.79  % (7733)Instructions burned: 6 (million)
% 0.63/0.79  % (7733)------------------------------
% 0.63/0.79  % (7733)------------------------------
% 0.63/0.79  % (7736)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (7736)Memory used [KB]: 1060
% 0.63/0.79  % (7736)Time elapsed: 0.004 s
% 0.63/0.79  % (7736)Instructions burned: 5 (million)
% 0.63/0.79  % (7736)------------------------------
% 0.63/0.79  % (7736)------------------------------
% 0.63/0.80  % (7740)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)
% 0.63/0.80  % (7743)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)
% 0.63/0.80  % (7744)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)
% 0.63/0.80  % (7718)Instruction limit reached!
% 0.63/0.80  % (7718)------------------------------
% 0.63/0.80  % (7718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (7718)Termination reason: Unknown
% 0.63/0.80  % (7718)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (7718)Memory used [KB]: 1708
% 0.63/0.80  % (7718)Time elapsed: 0.030 s
% 0.63/0.80  % (7718)Instructions burned: 51 (million)
% 0.63/0.80  % (7718)------------------------------
% 0.63/0.80  % (7718)------------------------------
% 0.63/0.80  % (7747)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)
% 0.63/0.80  % (7711)Instruction limit reached!
% 0.63/0.80  % (7711)------------------------------
% 0.63/0.80  % (7711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (7711)Termination reason: Unknown
% 0.63/0.81  % (7711)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (7711)Memory used [KB]: 1749
% 0.63/0.81  % (7711)Time elapsed: 0.043 s
% 0.63/0.81  % (7711)Instructions burned: 84 (million)
% 0.63/0.81  % (7711)------------------------------
% 0.63/0.81  % (7711)------------------------------
% 0.63/0.81  % (7732)Instruction limit reached!
% 0.63/0.81  % (7732)------------------------------
% 0.63/0.81  % (7732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (7732)Termination reason: Unknown
% 0.63/0.81  % (7732)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (7732)Memory used [KB]: 1680
% 0.63/0.81  % (7732)Time elapsed: 0.020 s
% 0.63/0.81  % (7732)Instructions burned: 54 (million)
% 0.63/0.81  % (7732)------------------------------
% 0.63/0.81  % (7732)------------------------------
% 0.63/0.81  % (7743)First to succeed.
% 0.63/0.81  % (7750)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)
% 0.63/0.81  % (7749)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)
% 0.63/0.81  % (7706)Instruction limit reached!
% 0.63/0.81  % (7706)------------------------------
% 0.63/0.81  % (7706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (7706)Termination reason: Unknown
% 0.63/0.81  % (7706)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (7706)Memory used [KB]: 1878
% 0.63/0.81  % (7706)Time elapsed: 0.049 s
% 0.63/0.81  % (7706)Instructions burned: 78 (million)
% 0.63/0.81  % (7706)------------------------------
% 0.63/0.81  % (7706)------------------------------
% 0.63/0.81  % (7743)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  % (7743)------------------------------
% 0.63/0.81  % (7743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (7743)Termination reason: Refutation
% 0.63/0.81  
% 0.63/0.81  % (7743)Memory used [KB]: 1212
% 0.63/0.81  % (7743)Time elapsed: 0.016 s
% 0.63/0.81  % (7743)Instructions burned: 24 (million)
% 0.63/0.81  % (7743)------------------------------
% 0.63/0.81  % (7743)------------------------------
% 0.63/0.81  % (7594)Success in time 0.433 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------