TSTP Solution File: SEU210+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU210+2 : 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 : n008.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 03:50:42 EDT 2024

% Result   : Theorem 1.51s 0.99s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  122 (  33 unt;   0 def)
%            Number of atoms       :  383 (  80 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  430 ( 169   ~; 146   |;  83   &)
%                                         (  15 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   3 con; 0-3 aty)
%            Number of variables   :  274 ( 235   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4134,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3647,f4122,f4132]) ).

fof(f4132,plain,
    ~ spl71_15,
    inference(avatar_contradiction_clause,[],[f4131]) ).

fof(f4131,plain,
    ( $false
    | ~ spl71_15 ),
    inference(subsumption_resolution,[],[f4126,f625]) ).

fof(f625,plain,
    empty_set != sK4,
    inference(cnf_transformation,[],[f405]) ).

fof(f405,plain,
    ( empty_set = relation_inverse_image(sK5,sK4)
    & subset(sK4,relation_rng(sK5))
    & empty_set != sK4
    & relation(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f249,f404]) ).

fof(f404,plain,
    ( ? [X0,X1] :
        ( empty_set = relation_inverse_image(X1,X0)
        & subset(X0,relation_rng(X1))
        & empty_set != X0
        & relation(X1) )
   => ( empty_set = relation_inverse_image(sK5,sK4)
      & subset(sK4,relation_rng(sK5))
      & empty_set != sK4
      & relation(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f249,plain,
    ? [X0,X1] :
      ( empty_set = relation_inverse_image(X1,X0)
      & subset(X0,relation_rng(X1))
      & empty_set != X0
      & relation(X1) ),
    inference(flattening,[],[f248]) ).

fof(f248,plain,
    ? [X0,X1] :
      ( empty_set = relation_inverse_image(X1,X0)
      & subset(X0,relation_rng(X1))
      & empty_set != X0
      & relation(X1) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f134,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ~ ( empty_set = relation_inverse_image(X1,X0)
            & subset(X0,relation_rng(X1))
            & empty_set != X0 ) ),
    inference(negated_conjecture,[],[f133]) ).

fof(f133,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ~ ( empty_set = relation_inverse_image(X1,X0)
          & subset(X0,relation_rng(X1))
          & empty_set != X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t174_relat_1) ).

fof(f4126,plain,
    ( empty_set = sK4
    | ~ spl71_15 ),
    inference(resolution,[],[f2629,f662]) ).

fof(f662,plain,
    ! [X0] :
      ( ~ subset(X0,empty_set)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ subset(X0,empty_set) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,axiom,
    ! [X0] :
      ( subset(X0,empty_set)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t3_xboole_1) ).

fof(f2629,plain,
    ( subset(sK4,empty_set)
    | ~ spl71_15 ),
    inference(avatar_component_clause,[],[f2628]) ).

fof(f2628,plain,
    ( spl71_15
  <=> subset(sK4,empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl71_15])]) ).

fof(f4122,plain,
    ( spl71_15
    | ~ spl71_4 ),
    inference(avatar_split_clause,[],[f4121,f1416,f2628]) ).

fof(f1416,plain,
    ( spl71_4
  <=> ! [X0] : ~ in(X0,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl71_4])]) ).

fof(f4121,plain,
    ( subset(sK4,empty_set)
    | ~ spl71_4 ),
    inference(superposition,[],[f3737,f3470]) ).

fof(f3470,plain,
    empty_set = relation_rng(relation_rng_restriction(empty_set,sK5)),
    inference(forward_demodulation,[],[f3441,f1199]) ).

fof(f1199,plain,
    ! [X0] : empty_set = set_difference(X0,X0),
    inference(backward_demodulation,[],[f1012,f1163]) ).

fof(f1163,plain,
    ! [X0] : set_difference(X0,empty_set) = X0,
    inference(subsumption_resolution,[],[f1158,f742]) ).

fof(f742,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',reflexivity_r1_tarski) ).

fof(f1158,plain,
    ! [X0] :
      ( set_difference(X0,empty_set) = X0
      | ~ subset(X0,X0) ),
    inference(superposition,[],[f1013,f580]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( empty_set = set_difference(X0,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f382]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( ( empty_set = set_difference(X0,X1)
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | empty_set != set_difference(X0,X1) ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( empty_set = set_difference(X0,X1)
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',l32_xboole_1) ).

fof(f1013,plain,
    ! [X0] : set_difference(X0,set_difference(X0,X0)) = X0,
    inference(definition_unfolding,[],[f817,f675]) ).

fof(f675,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t48_xboole_1) ).

fof(f817,plain,
    ! [X0] : set_intersection2(X0,X0) = X0,
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ! [X0] : set_intersection2(X0,X0) = X0,
    inference(rectify,[],[f86]) ).

fof(f86,axiom,
    ! [X0,X1] : set_intersection2(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',idempotence_k3_xboole_0) ).

fof(f1012,plain,
    ! [X0] : empty_set = set_difference(X0,set_difference(X0,empty_set)),
    inference(definition_unfolding,[],[f816,f675]) ).

fof(f816,plain,
    ! [X0] : empty_set = set_intersection2(X0,empty_set),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,axiom,
    ! [X0] : empty_set = set_intersection2(X0,empty_set),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t2_boole) ).

fof(f3441,plain,
    set_difference(relation_rng(sK5),relation_rng(sK5)) = relation_rng(relation_rng_restriction(empty_set,sK5)),
    inference(superposition,[],[f2194,f1163]) ).

fof(f2194,plain,
    ! [X0] : relation_rng(relation_rng_restriction(X0,sK5)) = set_difference(relation_rng(sK5),set_difference(relation_rng(sK5),X0)),
    inference(resolution,[],[f946,f624]) ).

fof(f624,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f405]) ).

fof(f946,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation_rng(relation_rng_restriction(X0,X1)) = set_difference(relation_rng(X1),set_difference(relation_rng(X1),X0)) ),
    inference(definition_unfolding,[],[f604,f675]) ).

fof(f604,plain,
    ! [X0,X1] :
      ( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t119_relat_1) ).

fof(f3737,plain,
    ( ! [X0] : subset(sK4,relation_rng(relation_rng_restriction(X0,sK5)))
    | ~ spl71_4 ),
    inference(subsumption_resolution,[],[f3726,f3695]) ).

fof(f3695,plain,
    ( ! [X0] : disjoint(sK4,X0)
    | ~ spl71_4 ),
    inference(resolution,[],[f1417,f659]) ).

fof(f659,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X0)
      | disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f413]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | ! [X2] :
            ( ~ in(X2,X1)
            | ~ in(X2,X0) ) )
      & ( ( in(sK6(X0,X1),X1)
          & in(sK6(X0,X1),X0) )
        | disjoint(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f266,f412]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X1)
          & in(X3,X0) )
     => ( in(sK6(X0,X1),X1)
        & in(sK6(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | ! [X2] :
            ( ~ in(X2,X1)
            | ~ in(X2,X0) ) )
      & ( ? [X3] :
            ( in(X3,X1)
            & in(X3,X0) )
        | disjoint(X0,X1) ) ),
    inference(ennf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] :
              ( in(X2,X1)
              & in(X2,X0) ) )
      & ~ ( ! [X3] :
              ~ ( in(X3,X1)
                & in(X3,X0) )
          & ~ disjoint(X0,X1) ) ),
    inference(rectify,[],[f162]) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] :
              ( in(X2,X1)
              & in(X2,X0) ) )
      & ~ ( ! [X2] :
              ~ ( in(X2,X1)
                & in(X2,X0) )
          & ~ disjoint(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t3_xboole_0) ).

fof(f1417,plain,
    ( ! [X0] : ~ in(X0,sK4)
    | ~ spl71_4 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f3726,plain,
    ! [X0] :
      ( subset(sK4,relation_rng(relation_rng_restriction(X0,sK5)))
      | ~ disjoint(sK4,set_difference(sK4,X0)) ),
    inference(superposition,[],[f3707,f699]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = X0
      | ~ disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f423]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( ( disjoint(X0,X1)
        | set_difference(X0,X1) != X0 )
      & ( set_difference(X0,X1) = X0
        | ~ disjoint(X0,X1) ) ),
    inference(nnf_transformation,[],[f196]) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> set_difference(X0,X1) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t83_xboole_1) ).

fof(f3707,plain,
    ! [X0] : subset(set_difference(sK4,set_difference(sK4,X0)),relation_rng(relation_rng_restriction(X0,sK5))),
    inference(forward_demodulation,[],[f2239,f2194]) ).

fof(f2239,plain,
    ! [X0] : subset(set_difference(sK4,set_difference(sK4,X0)),set_difference(relation_rng(sK5),set_difference(relation_rng(sK5),X0))),
    inference(resolution,[],[f957,f626]) ).

fof(f626,plain,
    subset(sK4,relation_rng(sK5)),
    inference(cnf_transformation,[],[f405]) ).

fof(f957,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | subset(set_difference(X0,set_difference(X0,X2)),set_difference(X1,set_difference(X1,X2))) ),
    inference(definition_unfolding,[],[f637,f675,f675]) ).

fof(f637,plain,
    ! [X2,X0,X1] :
      ( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ! [X0,X1,X2] :
      ( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,axiom,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t26_xboole_1) ).

fof(f3647,plain,
    spl71_4,
    inference(avatar_split_clause,[],[f3646,f1416]) ).

fof(f3646,plain,
    ! [X0] : ~ in(X0,sK4),
    inference(subsumption_resolution,[],[f3645,f1374]) ).

fof(f1374,plain,
    ! [X0] :
      ( in(X0,relation_rng(sK5))
      | ~ in(X0,sK4) ),
    inference(resolution,[],[f1348,f934]) ).

fof(f934,plain,
    ! [X0,X1] :
      ( subset(unordered_pair(X0,X0),X1)
      | ~ in(X0,X1) ),
    inference(definition_unfolding,[],[f578,f691]) ).

fof(f691,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t69_enumset1) ).

fof(f578,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( ( subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ~ subset(singleton(X0),X1) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',l2_zfmisc_1) ).

fof(f1348,plain,
    ! [X0,X1] :
      ( ~ subset(unordered_pair(X0,X1),sK4)
      | in(X1,relation_rng(sK5)) ),
    inference(resolution,[],[f1345,f653]) ).

fof(f653,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X0,X1),X2)
      | in(X1,X2) ),
    inference(cnf_transformation,[],[f409]) ).

fof(f409,plain,
    ! [X0,X1,X2] :
      ( ( subset(unordered_pair(X0,X1),X2)
        | ~ in(X1,X2)
        | ~ in(X0,X2) )
      & ( ( in(X1,X2)
          & in(X0,X2) )
        | ~ subset(unordered_pair(X0,X1),X2) ) ),
    inference(flattening,[],[f408]) ).

fof(f408,plain,
    ! [X0,X1,X2] :
      ( ( subset(unordered_pair(X0,X1),X2)
        | ~ in(X1,X2)
        | ~ in(X0,X2) )
      & ( ( in(X1,X2)
          & in(X0,X2) )
        | ~ subset(unordered_pair(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f157]) ).

fof(f157,axiom,
    ! [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <=> ( in(X1,X2)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t38_zfmisc_1) ).

fof(f1345,plain,
    ! [X0] :
      ( subset(X0,relation_rng(sK5))
      | ~ subset(X0,sK4) ),
    inference(resolution,[],[f630,f626]) ).

fof(f630,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X2)
      | subset(X0,X2)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f253,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ! [X0,X1,X2] :
      ( subset(X0,X2)
      | ~ subset(X1,X2)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X1,X2)
        & subset(X0,X1) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',t1_xboole_1) ).

fof(f3645,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | ~ in(X0,relation_rng(sK5)) ),
    inference(subsumption_resolution,[],[f3607,f624]) ).

fof(f3607,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | ~ in(X0,relation_rng(sK5))
      | ~ relation(sK5) ),
    inference(resolution,[],[f2707,f1078]) ).

fof(f1078,plain,
    ! [X0,X5] :
      ( in(unordered_pair(unordered_pair(sK23(X0,X5),X5),unordered_pair(sK23(X0,X5),sK23(X0,X5))),X0)
      | ~ in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f992]) ).

fof(f992,plain,
    ! [X0,X1,X5] :
      ( in(unordered_pair(unordered_pair(sK23(X0,X5),X5),unordered_pair(sK23(X0,X5),sK23(X0,X5))),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f774,f929]) ).

fof(f929,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f798,f691]) ).

fof(f798,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',d5_tarski) ).

fof(f774,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(sK23(X0,X5),X5),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f472]) ).

fof(f472,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK21(X0,X1)),X0)
                | ~ in(sK21(X0,X1),X1) )
              & ( in(ordered_pair(sK22(X0,X1),sK21(X0,X1)),X0)
                | in(sK21(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK23(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23])],[f468,f471,f470,f469]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK21(X0,X1)),X0)
          | ~ in(sK21(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK21(X0,X1)),X0)
          | in(sK21(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK21(X0,X1)),X0)
     => in(ordered_pair(sK22(X0,X1),sK21(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f471,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK23(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f468,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f467]) ).

fof(f467,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f321]) ).

fof(f321,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,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.811Zc7nEvk/Vampire---4.8_32647',d5_relat_1) ).

fof(f2707,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK5)
      | ~ in(X1,sK4) ),
    inference(subsumption_resolution,[],[f2706,f624]) ).

fof(f2706,plain,
    ! [X0,X1] :
      ( ~ in(X1,sK4)
      | ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK5)
      | ~ relation(sK5) ),
    inference(subsumption_resolution,[],[f2705,f1060]) ).

fof(f1060,plain,
    ! [X2] : ~ in(X2,empty_set),
    inference(equality_resolution,[],[f717]) ).

fof(f717,plain,
    ! [X2,X0] :
      ( ~ in(X2,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f429]) ).

fof(f429,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK10(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f427,f428]) ).

fof(f428,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK10(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f427,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f426]) ).

fof(f426,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',d1_xboole_0) ).

fof(f2705,plain,
    ! [X0,X1] :
      ( in(X0,empty_set)
      | ~ in(X1,sK4)
      | ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK5)
      | ~ relation(sK5) ),
    inference(superposition,[],[f1108,f627]) ).

fof(f627,plain,
    empty_set = relation_inverse_image(sK5,sK4),
    inference(cnf_transformation,[],[f405]) ).

fof(f1108,plain,
    ! [X0,X1,X6,X7] :
      ( in(X6,relation_inverse_image(X0,X1))
      | ~ in(X7,X1)
      | ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f1044]) ).

fof(f1044,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(X7,X1)
      | ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f863,f929]) ).

fof(f863,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(X7,X1)
      | ~ in(ordered_pair(X6,X7),X0)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f539]) ).

fof(f539,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( ~ in(X4,X1)
                    | ~ in(ordered_pair(sK54(X0,X1,X2),X4),X0) )
                | ~ in(sK54(X0,X1,X2),X2) )
              & ( ( in(sK55(X0,X1,X2),X1)
                  & in(ordered_pair(sK54(X0,X1,X2),sK55(X0,X1,X2)),X0) )
                | in(sK54(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ( in(sK56(X0,X1,X6),X1)
                    & in(ordered_pair(X6,sK56(X0,X1,X6)),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56])],[f535,f538,f537,f536]) ).

fof(f536,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X1)
                | ~ in(ordered_pair(X3,X4),X0) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( in(X5,X1)
                & in(ordered_pair(X3,X5),X0) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,X1)
              | ~ in(ordered_pair(sK54(X0,X1,X2),X4),X0) )
          | ~ in(sK54(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( in(X5,X1)
              & in(ordered_pair(sK54(X0,X1,X2),X5),X0) )
          | in(sK54(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f537,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X1)
          & in(ordered_pair(sK54(X0,X1,X2),X5),X0) )
     => ( in(sK55(X0,X1,X2),X1)
        & in(ordered_pair(sK54(X0,X1,X2),sK55(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f538,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( in(X8,X1)
          & in(ordered_pair(X6,X8),X0) )
     => ( in(sK56(X0,X1,X6),X1)
        & in(ordered_pair(X6,sK56(X0,X1,X6)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f535,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(X5,X1)
                      & in(ordered_pair(X3,X5),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,X1)
                      | ~ in(ordered_pair(X6,X7),X0) ) )
                & ( ? [X8] :
                      ( in(X8,X1)
                      & in(ordered_pair(X6,X8),X0) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f534]) ).

fof(f534,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | ~ in(ordered_pair(X3,X4),X0) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & in(ordered_pair(X3,X4),X0) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f350]) ).

fof(f350,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.811Zc7nEvk/Vampire---4.8_32647',d14_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SEU210+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 16:11:12 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.811Zc7nEvk/Vampire---4.8_32647
% 0.60/0.79  % (32760)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)
% 0.60/0.79  % (32761)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)
% 0.60/0.79  % (32762)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)
% 0.60/0.79  % (32758)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)
% 0.60/0.79  % (32764)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)
% 0.60/0.79  % (32757)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)
% 0.60/0.79  % (32759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (32763)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)
% 0.60/0.81  % (32757)Instruction limit reached!
% 0.60/0.81  % (32757)------------------------------
% 0.60/0.81  % (32757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32757)Termination reason: Unknown
% 0.60/0.81  % (32757)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32757)Memory used [KB]: 1693
% 0.60/0.81  % (32757)Time elapsed: 0.018 s
% 0.60/0.81  % (32757)Instructions burned: 34 (million)
% 0.60/0.81  % (32757)------------------------------
% 0.60/0.81  % (32757)------------------------------
% 0.60/0.81  % (32760)Instruction limit reached!
% 0.60/0.81  % (32760)------------------------------
% 0.60/0.81  % (32760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32760)Termination reason: Unknown
% 0.60/0.81  % (32760)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32760)Memory used [KB]: 1714
% 0.60/0.81  % (32760)Time elapsed: 0.017 s
% 0.60/0.81  % (32760)Instructions burned: 35 (million)
% 0.60/0.81  % (32760)------------------------------
% 0.60/0.81  % (32760)------------------------------
% 0.60/0.81  % (32765)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)
% 0.60/0.81  % (32761)Instruction limit reached!
% 0.60/0.81  % (32761)------------------------------
% 0.60/0.81  % (32761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (32761)Termination reason: Unknown
% 0.60/0.81  % (32761)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (32761)Memory used [KB]: 1888
% 0.60/0.81  % (32761)Time elapsed: 0.022 s
% 0.60/0.81  % (32761)Instructions burned: 34 (million)
% 0.60/0.81  % (32761)------------------------------
% 0.60/0.81  % (32761)------------------------------
% 0.60/0.81  % (32766)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)
% 0.60/0.82  % (32762)Instruction limit reached!
% 0.60/0.82  % (32762)------------------------------
% 0.60/0.82  % (32762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (32762)Termination reason: Unknown
% 0.60/0.82  % (32762)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (32762)Memory used [KB]: 1858
% 0.60/0.82  % (32762)Time elapsed: 0.025 s
% 0.60/0.82  % (32762)Instructions burned: 47 (million)
% 0.60/0.82  % (32762)------------------------------
% 0.60/0.82  % (32762)------------------------------
% 0.60/0.82  % (32767)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)
% 0.60/0.82  % (32764)Instruction limit reached!
% 0.60/0.82  % (32764)------------------------------
% 0.60/0.82  % (32764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (32764)Termination reason: Unknown
% 0.60/0.82  % (32764)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (32764)Memory used [KB]: 1976
% 0.60/0.82  % (32764)Time elapsed: 0.028 s
% 0.60/0.82  % (32764)Instructions burned: 56 (million)
% 0.60/0.82  % (32764)------------------------------
% 0.60/0.82  % (32764)------------------------------
% 0.60/0.82  % (32758)Instruction limit reached!
% 0.60/0.82  % (32758)------------------------------
% 0.60/0.82  % (32758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (32758)Termination reason: Unknown
% 0.60/0.82  % (32758)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (32758)Memory used [KB]: 1895
% 0.60/0.82  % (32758)Time elapsed: 0.029 s
% 0.60/0.82  % (32758)Instructions burned: 51 (million)
% 0.60/0.82  % (32758)------------------------------
% 0.60/0.82  % (32758)------------------------------
% 0.60/0.82  % (300)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)
% 0.77/0.82  % (301)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)
% 0.77/0.82  % (302)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)
% 0.77/0.84  % (32763)Instruction limit reached!
% 0.77/0.84  % (32763)------------------------------
% 0.77/0.84  % (32763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.84  % (32763)Termination reason: Unknown
% 0.77/0.84  % (32763)Termination phase: Saturation
% 0.77/0.84  
% 0.77/0.84  % (32763)Memory used [KB]: 2214
% 0.77/0.84  % (32763)Time elapsed: 0.043 s
% 0.77/0.84  % (32763)Instructions burned: 83 (million)
% 0.77/0.84  % (32763)------------------------------
% 0.77/0.84  % (32763)------------------------------
% 0.77/0.84  % (32759)Instruction limit reached!
% 0.77/0.84  % (32759)------------------------------
% 0.77/0.84  % (32759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.84  % (32759)Termination reason: Unknown
% 0.77/0.84  % (32759)Termination phase: Saturation
% 0.77/0.84  
% 0.77/0.84  % (32759)Memory used [KB]: 2242
% 0.77/0.84  % (32759)Time elapsed: 0.044 s
% 0.77/0.84  % (32759)Instructions burned: 78 (million)
% 0.77/0.84  % (32759)------------------------------
% 0.77/0.84  % (32759)------------------------------
% 0.77/0.84  % (32766)Instruction limit reached!
% 0.77/0.84  % (32766)------------------------------
% 0.77/0.84  % (32766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.84  % (32766)Termination reason: Unknown
% 0.77/0.84  % (32766)Termination phase: Saturation
% 0.77/0.84  
% 0.77/0.84  % (32766)Memory used [KB]: 2099
% 0.77/0.84  % (32766)Time elapsed: 0.024 s
% 0.77/0.84  % (32766)Instructions burned: 50 (million)
% 0.77/0.84  % (32766)------------------------------
% 0.77/0.84  % (32766)------------------------------
% 0.77/0.84  % (32765)Instruction limit reached!
% 0.77/0.84  % (32765)------------------------------
% 0.77/0.84  % (32765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.84  % (32765)Termination reason: Unknown
% 0.77/0.84  % (32765)Termination phase: Saturation
% 0.77/0.84  
% 0.77/0.84  % (32765)Memory used [KB]: 1913
% 0.77/0.84  % (32765)Time elapsed: 0.027 s
% 0.77/0.84  % (32765)Instructions burned: 55 (million)
% 0.77/0.84  % (32765)------------------------------
% 0.77/0.84  % (32765)------------------------------
% 0.77/0.84  % (304)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 (2994ds/117Mi)
% 0.77/0.84  % (303)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 (2994ds/243Mi)
% 0.77/0.84  % (305)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 (2994ds/143Mi)
% 0.77/0.84  % (306)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 (2994ds/93Mi)
% 0.77/0.85  % (302)Instruction limit reached!
% 0.77/0.85  % (302)------------------------------
% 0.77/0.85  % (302)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.85  % (302)Termination reason: Unknown
% 0.77/0.85  % (302)Termination phase: Saturation
% 0.77/0.85  
% 0.77/0.85  % (302)Memory used [KB]: 1971
% 0.77/0.85  % (302)Time elapsed: 0.023 s
% 0.77/0.85  % (302)Instructions burned: 43 (million)
% 0.77/0.85  % (302)------------------------------
% 0.77/0.85  % (302)------------------------------
% 0.77/0.85  % (300)Instruction limit reached!
% 0.77/0.85  % (300)------------------------------
% 0.77/0.85  % (300)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.85  % (300)Termination reason: Unknown
% 0.77/0.85  % (300)Termination phase: Saturation
% 0.77/0.85  
% 0.77/0.85  % (300)Memory used [KB]: 1894
% 0.77/0.85  % (300)Time elapsed: 0.028 s
% 0.77/0.85  % (300)Instructions burned: 52 (million)
% 0.77/0.85  % (300)------------------------------
% 0.77/0.85  % (300)------------------------------
% 0.77/0.85  % (307)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 (2994ds/62Mi)
% 0.77/0.85  % (308)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 (2994ds/32Mi)
% 0.97/0.87  % (308)Instruction limit reached!
% 0.97/0.87  % (308)------------------------------
% 0.97/0.87  % (308)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.87  % (308)Termination reason: Unknown
% 0.97/0.87  % (308)Termination phase: Saturation
% 0.97/0.87  
% 0.97/0.87  % (308)Memory used [KB]: 1569
% 0.97/0.87  % (308)Time elapsed: 0.017 s
% 0.97/0.87  % (308)Instructions burned: 32 (million)
% 0.97/0.87  % (308)------------------------------
% 0.97/0.87  % (308)------------------------------
% 0.97/0.87  % (309)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 (2994ds/1919Mi)
% 0.97/0.88  % (307)Instruction limit reached!
% 0.97/0.88  % (307)------------------------------
% 0.97/0.88  % (307)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.88  % (307)Termination reason: Unknown
% 0.97/0.88  % (307)Termination phase: Saturation
% 0.97/0.88  
% 0.97/0.88  % (307)Memory used [KB]: 2121
% 0.97/0.88  % (307)Time elapsed: 0.033 s
% 0.97/0.88  % (307)Instructions burned: 63 (million)
% 0.97/0.88  % (307)------------------------------
% 0.97/0.88  % (307)------------------------------
% 0.97/0.88  % (310)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)
% 0.97/0.89  % (306)Instruction limit reached!
% 0.97/0.89  % (306)------------------------------
% 0.97/0.89  % (306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.89  % (306)Termination reason: Unknown
% 0.97/0.89  % (306)Termination phase: Saturation
% 0.97/0.89  
% 0.97/0.89  % (306)Memory used [KB]: 2108
% 0.97/0.89  % (306)Time elapsed: 0.052 s
% 0.97/0.89  % (306)Instructions burned: 93 (million)
% 0.97/0.89  % (306)------------------------------
% 0.97/0.89  % (306)------------------------------
% 0.97/0.90  % (311)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)
% 0.97/0.90  % (304)Instruction limit reached!
% 0.97/0.90  % (304)------------------------------
% 0.97/0.90  % (304)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.90  % (304)Termination reason: Unknown
% 0.97/0.90  % (304)Termination phase: Saturation
% 0.97/0.90  
% 0.97/0.90  % (304)Memory used [KB]: 2503
% 0.97/0.90  % (304)Time elapsed: 0.065 s
% 0.97/0.90  % (304)Instructions burned: 117 (million)
% 0.97/0.90  % (304)------------------------------
% 0.97/0.90  % (304)------------------------------
% 0.97/0.91  % (312)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)
% 0.97/0.91  % (305)Instruction limit reached!
% 0.97/0.91  % (305)------------------------------
% 0.97/0.91  % (305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.91  % (305)Termination reason: Unknown
% 0.97/0.91  % (305)Termination phase: Saturation
% 0.97/0.91  
% 0.97/0.91  % (305)Memory used [KB]: 2554
% 0.97/0.91  % (305)Time elapsed: 0.070 s
% 0.97/0.91  % (305)Instructions burned: 143 (million)
% 0.97/0.91  % (305)------------------------------
% 0.97/0.91  % (305)------------------------------
% 0.97/0.91  % (313)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)
% 0.97/0.91  % (310)Instruction limit reached!
% 0.97/0.91  % (310)------------------------------
% 0.97/0.91  % (310)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.91  % (310)Termination reason: Unknown
% 0.97/0.91  % (310)Termination phase: Saturation
% 0.97/0.91  
% 0.97/0.91  % (310)Memory used [KB]: 2203
% 0.97/0.91  % (310)Time elapsed: 0.030 s
% 0.97/0.91  % (310)Instructions burned: 57 (million)
% 0.97/0.91  % (310)------------------------------
% 0.97/0.91  % (310)------------------------------
% 0.97/0.92  % (314)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.97/0.92  % (311)Instruction limit reached!
% 0.97/0.92  % (311)------------------------------
% 0.97/0.92  % (311)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.97/0.92  % (311)Termination reason: Unknown
% 0.97/0.92  % (311)Termination phase: Saturation
% 0.97/0.92  
% 0.97/0.92  % (311)Memory used [KB]: 1921
% 0.97/0.92  % (311)Time elapsed: 0.028 s
% 0.97/0.92  % (311)Instructions burned: 53 (million)
% 0.97/0.92  % (311)------------------------------
% 0.97/0.92  % (311)------------------------------
% 0.97/0.93  % (315)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.27/0.93  % (312)Instruction limit reached!
% 1.27/0.93  % (312)------------------------------
% 1.27/0.93  % (312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.93  % (312)Termination reason: Unknown
% 1.27/0.93  % (312)Termination phase: Saturation
% 1.27/0.93  
% 1.27/0.93  % (312)Memory used [KB]: 2116
% 1.27/0.93  % (312)Time elapsed: 0.027 s
% 1.27/0.93  % (312)Instructions burned: 47 (million)
% 1.27/0.93  % (312)------------------------------
% 1.27/0.93  % (312)------------------------------
% 1.27/0.93  % (314)Instruction limit reached!
% 1.27/0.93  % (314)------------------------------
% 1.27/0.93  % (314)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.93  % (314)Termination reason: Unknown
% 1.27/0.93  % (314)Termination phase: Saturation
% 1.27/0.93  
% 1.27/0.93  % (314)Memory used [KB]: 1756
% 1.27/0.93  % (314)Time elapsed: 0.019 s
% 1.27/0.93  % (314)Instructions burned: 36 (million)
% 1.27/0.93  % (314)------------------------------
% 1.27/0.93  % (314)------------------------------
% 1.27/0.94  % (316)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.27/0.94  % (317)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.27/0.95  % (32767)Instruction limit reached!
% 1.27/0.95  % (32767)------------------------------
% 1.27/0.95  % (32767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.95  % (32767)Termination reason: Unknown
% 1.27/0.95  % (32767)Termination phase: Saturation
% 1.27/0.95  
% 1.27/0.95  % (32767)Memory used [KB]: 3207
% 1.27/0.95  % (32767)Time elapsed: 0.132 s
% 1.27/0.95  % (32767)Instructions burned: 208 (million)
% 1.27/0.95  % (32767)------------------------------
% 1.27/0.95  % (32767)------------------------------
% 1.27/0.95  % (318)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2993ds/69Mi)
% 1.27/0.97  % (313)Instruction limit reached!
% 1.27/0.97  % (313)------------------------------
% 1.27/0.97  % (313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.27/0.97  % (313)Termination reason: Unknown
% 1.27/0.97  % (313)Termination phase: Saturation
% 1.27/0.97  
% 1.27/0.97  % (313)Memory used [KB]: 3210
% 1.27/0.97  % (313)Time elapsed: 0.056 s
% 1.27/0.97  % (313)Instructions burned: 103 (million)
% 1.27/0.97  % (313)------------------------------
% 1.27/0.97  % (313)------------------------------
% 1.51/0.97  % (315)Instruction limit reached!
% 1.51/0.97  % (315)------------------------------
% 1.51/0.97  % (315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.97  % (319)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2993ds/40Mi)
% 1.51/0.97  % (315)Termination reason: Unknown
% 1.51/0.97  % (315)Termination phase: Saturation
% 1.51/0.97  
% 1.51/0.97  % (315)Memory used [KB]: 2432
% 1.51/0.97  % (315)Time elapsed: 0.046 s
% 1.51/0.97  % (315)Instructions burned: 88 (million)
% 1.51/0.97  % (315)------------------------------
% 1.51/0.97  % (315)------------------------------
% 1.51/0.97  % (303)Instruction limit reached!
% 1.51/0.97  % (303)------------------------------
% 1.51/0.97  % (303)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.97  % (303)Termination reason: Unknown
% 1.51/0.97  % (303)Termination phase: Saturation
% 1.51/0.97  
% 1.51/0.97  % (303)Memory used [KB]: 3088
% 1.51/0.97  % (303)Time elapsed: 0.135 s
% 1.51/0.97  % (303)Instructions burned: 244 (million)
% 1.51/0.97  % (303)------------------------------
% 1.51/0.97  % (303)------------------------------
% 1.51/0.97  % (320)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2993ds/360Mi)
% 1.51/0.98  % (321)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2993ds/161Mi)
% 1.51/0.98  % (309)First to succeed.
% 1.51/0.99  % (318)Instruction limit reached!
% 1.51/0.99  % (318)------------------------------
% 1.51/0.99  % (318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.99  % (309)Refutation found. Thanks to Tanya!
% 1.51/0.99  % SZS status Theorem for Vampire---4
% 1.51/0.99  % SZS output start Proof for Vampire---4
% See solution above
% 1.51/0.99  % (309)------------------------------
% 1.51/0.99  % (309)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.51/0.99  % (309)Termination reason: Refutation
% 1.51/0.99  
% 1.51/0.99  % (309)Memory used [KB]: 2910
% 1.51/0.99  % (309)Time elapsed: 0.117 s
% 1.51/0.99  % (309)Instructions burned: 225 (million)
% 1.51/0.99  % (309)------------------------------
% 1.51/0.99  % (309)------------------------------
% 1.51/0.99  % (32756)Success in time 0.646 s
% 1.51/0.99  % Vampire---4.8 exiting
%------------------------------------------------------------------------------