TSTP Solution File: ANA002-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:30:38 EDT 2024

% Result   : Unsatisfiable 1.71s 0.93s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  106 (   7 unt;   0 def)
%            Number of atoms       :  315 (   1 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  365 ( 156   ~; 196   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  14 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1849,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f104,f154,f162,f320,f327,f330,f438,f472,f518,f577,f1044,f1045,f1848]) ).

fof(f1848,plain,
    ( spl1_7
    | ~ spl1_10
    | spl1_15 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | spl1_7
    | ~ spl1_10
    | spl1_15 ),
    inference(subsumption_resolution,[],[f1827,f117]) ).

fof(f117,plain,
    ( less_than_or_equal(k(l),upper_bound)
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl1_10
  <=> less_than_or_equal(k(l),upper_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f1827,plain,
    ( ~ less_than_or_equal(k(l),upper_bound)
    | spl1_7
    | spl1_15 ),
    inference(resolution,[],[f711,f1053]) ).

fof(f1053,plain,
    ( less_than_or_equal(upper_bound,q(l,k(l)))
    | spl1_15 ),
    inference(resolution,[],[f193,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(X1,X0)
      | less_than_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',totality_of_less) ).

fof(f193,plain,
    ( ~ less_than_or_equal(q(l,k(l)),upper_bound)
    | spl1_15 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl1_15
  <=> less_than_or_equal(q(l,k(l)),upper_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ less_than_or_equal(X0,q(l,k(l)))
        | ~ less_than_or_equal(k(l),X0) )
    | spl1_7 ),
    inference(resolution,[],[f606,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( less_than_or_equal(X0,X2)
      | ~ less_than_or_equal(X0,X1)
      | ~ less_than_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',transitivity_of_less) ).

fof(f606,plain,
    ( ~ less_than_or_equal(k(l),q(l,k(l)))
    | spl1_7 ),
    inference(resolution,[],[f81,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(X0,X1)
      | ~ less_than_or_equal(X0,q(X1,X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',interpolation1) ).

fof(f81,plain,
    ( ~ less_than_or_equal(k(l),l)
    | spl1_7 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl1_7
  <=> less_than_or_equal(k(l),l) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f1045,plain,
    ( ~ spl1_14
    | ~ spl1_15
    | spl1_7 ),
    inference(avatar_split_clause,[],[f673,f79,f191,f187]) ).

fof(f187,plain,
    ( spl1_14
  <=> less_than_or_equal(f(q(l,k(l))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f673,plain,
    ( ~ less_than_or_equal(q(l,k(l)),upper_bound)
    | ~ less_than_or_equal(f(q(l,k(l))),n0)
    | spl1_7 ),
    inference(resolution,[],[f605,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( less_than_or_equal(X0,l)
      | ~ less_than_or_equal(X0,upper_bound)
      | ~ less_than_or_equal(f(X0),n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',crossover1) ).

fof(f605,plain,
    ( ~ less_than_or_equal(q(l,k(l)),l)
    | spl1_7 ),
    inference(resolution,[],[f81,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(X1,X0)
      | ~ less_than_or_equal(q(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',interpolation2) ).

fof(f1044,plain,
    ( spl1_2
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8
    | spl1_14 ),
    inference(avatar_contradiction_clause,[],[f1043]) ).

fof(f1043,plain,
    ( $false
    | spl1_2
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8
    | spl1_14 ),
    inference(subsumption_resolution,[],[f1029,f719]) ).

fof(f719,plain,
    ( ~ less_than_or_equal(n0,f(q(l,k(l))))
    | spl1_2
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f718,f27]) ).

fof(f27,plain,
    ( ~ less_than_or_equal(n0,sF0)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl1_2
  <=> less_than_or_equal(n0,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f718,plain,
    ( less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(n0,f(q(l,k(l))))
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f717,f18]) ).

fof(f18,plain,
    f(l) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f717,plain,
    ( ~ less_than_or_equal(n0,f(q(l,k(l))))
    | less_than_or_equal(n0,f(l))
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f716,f677]) ).

fof(f677,plain,
    ( less_than_or_equal(l,q(l,k(l)))
    | spl1_7 ),
    inference(resolution,[],[f605,f2]) ).

fof(f716,plain,
    ( ~ less_than_or_equal(n0,f(q(l,k(l))))
    | ~ less_than_or_equal(l,q(l,k(l)))
    | less_than_or_equal(n0,f(l))
    | ~ spl1_6
    | spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f715,f76]) ).

fof(f76,plain,
    ( less_than_or_equal(l,upper_bound)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl1_6
  <=> less_than_or_equal(l,upper_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f715,plain,
    ( ~ less_than_or_equal(l,upper_bound)
    | ~ less_than_or_equal(n0,f(q(l,k(l))))
    | ~ less_than_or_equal(l,q(l,k(l)))
    | less_than_or_equal(n0,f(l))
    | spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f710,f84]) ).

fof(f84,plain,
    ( less_than_or_equal(lower_bound,l)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl1_8
  <=> less_than_or_equal(lower_bound,l) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f710,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(l,upper_bound)
    | ~ less_than_or_equal(n0,f(q(l,k(l))))
    | ~ less_than_or_equal(l,q(l,k(l)))
    | less_than_or_equal(n0,f(l))
    | spl1_7 ),
    inference(resolution,[],[f606,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(k(X0),X1)
      | ~ less_than_or_equal(lower_bound,X0)
      | ~ less_than_or_equal(X0,upper_bound)
      | ~ less_than_or_equal(n0,f(X1))
      | ~ less_than_or_equal(X0,X1)
      | less_than_or_equal(n0,f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',continuity4) ).

fof(f1029,plain,
    ( less_than_or_equal(n0,f(q(l,k(l))))
    | spl1_14 ),
    inference(resolution,[],[f189,f2]) ).

fof(f189,plain,
    ( ~ less_than_or_equal(f(q(l,k(l))),n0)
    | spl1_14 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f577,plain,
    ( spl1_22
    | spl1_31 ),
    inference(avatar_split_clause,[],[f570,f474,f324]) ).

fof(f324,plain,
    ( spl1_22
  <=> less_than_or_equal(l,h(l)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f474,plain,
    ( spl1_31
  <=> less_than_or_equal(g(h(l)),upper_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).

fof(f570,plain,
    ( less_than_or_equal(l,h(l))
    | spl1_31 ),
    inference(resolution,[],[f476,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( less_than_or_equal(g(X0),upper_bound)
      | less_than_or_equal(l,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',crossover2_and_g_function1) ).

fof(f476,plain,
    ( ~ less_than_or_equal(g(h(l)),upper_bound)
    | spl1_31 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f518,plain,
    ( ~ spl1_31
    | ~ spl1_29
    | spl1_30 ),
    inference(avatar_split_clause,[],[f517,f435,f431,f474]) ).

fof(f431,plain,
    ( spl1_29
  <=> less_than_or_equal(f(g(h(l))),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).

fof(f435,plain,
    ( spl1_30
  <=> less_than_or_equal(g(h(l)),l) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).

fof(f517,plain,
    ( ~ less_than_or_equal(g(h(l)),upper_bound)
    | ~ spl1_29
    | spl1_30 ),
    inference(subsumption_resolution,[],[f512,f432]) ).

fof(f432,plain,
    ( less_than_or_equal(f(g(h(l))),n0)
    | ~ spl1_29 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f512,plain,
    ( ~ less_than_or_equal(g(h(l)),upper_bound)
    | ~ less_than_or_equal(f(g(h(l))),n0)
    | spl1_30 ),
    inference(resolution,[],[f437,f10]) ).

fof(f437,plain,
    ( ~ less_than_or_equal(g(h(l)),l)
    | spl1_30 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f472,plain,
    ( spl1_22
    | spl1_29 ),
    inference(avatar_contradiction_clause,[],[f471]) ).

fof(f471,plain,
    ( $false
    | spl1_22
    | spl1_29 ),
    inference(subsumption_resolution,[],[f463,f326]) ).

fof(f326,plain,
    ( ~ less_than_or_equal(l,h(l))
    | spl1_22 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f463,plain,
    ( less_than_or_equal(l,h(l))
    | spl1_29 ),
    inference(resolution,[],[f433,f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( less_than_or_equal(f(g(X0)),n0)
      | less_than_or_equal(l,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',crossover3_and_g_function2) ).

fof(f433,plain,
    ( ~ less_than_or_equal(f(g(h(l))),n0)
    | spl1_29 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f438,plain,
    ( ~ spl1_29
    | ~ spl1_30
    | ~ spl1_21
    | spl1_22 ),
    inference(avatar_split_clause,[],[f425,f324,f318,f435,f431]) ).

fof(f318,plain,
    ( spl1_21
  <=> ! [X0] :
        ( less_than_or_equal(X0,h(l))
        | ~ less_than_or_equal(X0,l)
        | ~ less_than_or_equal(f(X0),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).

fof(f425,plain,
    ( ~ less_than_or_equal(g(h(l)),l)
    | ~ less_than_or_equal(f(g(h(l))),n0)
    | ~ spl1_21
    | spl1_22 ),
    inference(resolution,[],[f337,f319]) ).

fof(f319,plain,
    ( ! [X0] :
        ( less_than_or_equal(X0,h(l))
        | ~ less_than_or_equal(X0,l)
        | ~ less_than_or_equal(f(X0),n0) )
    | ~ spl1_21 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f337,plain,
    ( ~ less_than_or_equal(g(h(l)),h(l))
    | spl1_22 ),
    inference(resolution,[],[f326,f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( less_than_or_equal(l,X0)
      | ~ less_than_or_equal(g(X0),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',crossover4_and_g_function3) ).

fof(f330,plain,
    ( ~ spl1_7
    | spl1_2
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f329,f83,f75,f25,f79]) ).

fof(f329,plain,
    ( less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(k(l),l)
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f328,f76]) ).

fof(f328,plain,
    ( less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(k(l),l)
    | ~ less_than_or_equal(l,upper_bound)
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f72,f84]) ).

fof(f72,plain,
    ( less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(k(l),l)
    | ~ less_than_or_equal(l,upper_bound) ),
    inference(superposition,[],[f8,f18]) ).

fof(f8,axiom,
    ! [X0] :
      ( less_than_or_equal(n0,f(X0))
      | ~ less_than_or_equal(lower_bound,X0)
      | ~ less_than_or_equal(k(X0),X0)
      | ~ less_than_or_equal(X0,upper_bound) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',continuity3) ).

fof(f327,plain,
    ( ~ spl1_22
    | spl1_1
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f322,f83,f75,f21,f324]) ).

fof(f21,plain,
    ( spl1_1
  <=> less_than_or_equal(sF0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f322,plain,
    ( less_than_or_equal(sF0,n0)
    | ~ less_than_or_equal(l,h(l))
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f321,f76]) ).

fof(f321,plain,
    ( less_than_or_equal(sF0,n0)
    | ~ less_than_or_equal(l,h(l))
    | ~ less_than_or_equal(l,upper_bound)
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f70,f84]) ).

fof(f70,plain,
    ( less_than_or_equal(sF0,n0)
    | ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(l,h(l))
    | ~ less_than_or_equal(l,upper_bound) ),
    inference(superposition,[],[f6,f18]) ).

fof(f6,axiom,
    ! [X0] :
      ( less_than_or_equal(f(X0),n0)
      | ~ less_than_or_equal(lower_bound,X0)
      | ~ less_than_or_equal(X0,h(X0))
      | ~ less_than_or_equal(X0,upper_bound) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',continuity1) ).

fof(f320,plain,
    ( spl1_21
    | spl1_1
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f316,f83,f75,f21,f318]) ).

fof(f316,plain,
    ( ! [X0] :
        ( less_than_or_equal(sF0,n0)
        | less_than_or_equal(X0,h(l))
        | ~ less_than_or_equal(f(X0),n0)
        | ~ less_than_or_equal(X0,l) )
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f315,f76]) ).

fof(f315,plain,
    ( ! [X0] :
        ( less_than_or_equal(sF0,n0)
        | less_than_or_equal(X0,h(l))
        | ~ less_than_or_equal(f(X0),n0)
        | ~ less_than_or_equal(X0,l)
        | ~ less_than_or_equal(l,upper_bound) )
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f87,f84]) ).

fof(f87,plain,
    ! [X0] :
      ( less_than_or_equal(sF0,n0)
      | ~ less_than_or_equal(lower_bound,l)
      | less_than_or_equal(X0,h(l))
      | ~ less_than_or_equal(f(X0),n0)
      | ~ less_than_or_equal(X0,l)
      | ~ less_than_or_equal(l,upper_bound) ),
    inference(superposition,[],[f7,f18]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( less_than_or_equal(f(X0),n0)
      | ~ less_than_or_equal(lower_bound,X0)
      | less_than_or_equal(X1,h(X0))
      | ~ less_than_or_equal(f(X1),n0)
      | ~ less_than_or_equal(X1,X0)
      | ~ less_than_or_equal(X0,upper_bound) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',continuity2) ).

fof(f162,plain,
    spl1_8,
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f161,plain,
    ( $false
    | spl1_8 ),
    inference(subsumption_resolution,[],[f160,f15]) ).

fof(f15,axiom,
    less_than_or_equal(f(lower_bound),n0),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',lower_mapping) ).

fof(f160,plain,
    ( ~ less_than_or_equal(f(lower_bound),n0)
    | spl1_8 ),
    inference(subsumption_resolution,[],[f155,f14]) ).

fof(f14,axiom,
    less_than_or_equal(lower_bound,upper_bound),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',the_interval) ).

fof(f155,plain,
    ( ~ less_than_or_equal(lower_bound,upper_bound)
    | ~ less_than_or_equal(f(lower_bound),n0)
    | spl1_8 ),
    inference(resolution,[],[f85,f10]) ).

fof(f85,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | spl1_8 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f154,plain,
    ( ~ spl1_8
    | spl1_2
    | ~ spl1_6
    | spl1_10 ),
    inference(avatar_split_clause,[],[f153,f116,f75,f25,f83]) ).

fof(f153,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | spl1_2
    | ~ spl1_6
    | spl1_10 ),
    inference(subsumption_resolution,[],[f152,f27]) ).

fof(f152,plain,
    ( less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(lower_bound,l)
    | ~ spl1_6
    | spl1_10 ),
    inference(forward_demodulation,[],[f151,f18]) ).

fof(f151,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | less_than_or_equal(n0,f(l))
    | ~ spl1_6
    | spl1_10 ),
    inference(subsumption_resolution,[],[f150,f16]) ).

fof(f16,axiom,
    less_than_or_equal(n0,f(upper_bound)),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',upper_mapping) ).

fof(f150,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(n0,f(upper_bound))
    | less_than_or_equal(n0,f(l))
    | ~ spl1_6
    | spl1_10 ),
    inference(subsumption_resolution,[],[f149,f76]) ).

fof(f149,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(l,upper_bound)
    | ~ less_than_or_equal(n0,f(upper_bound))
    | less_than_or_equal(n0,f(l))
    | spl1_10 ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ( ~ less_than_or_equal(lower_bound,l)
    | ~ less_than_or_equal(l,upper_bound)
    | ~ less_than_or_equal(n0,f(upper_bound))
    | ~ less_than_or_equal(l,upper_bound)
    | less_than_or_equal(n0,f(l))
    | spl1_10 ),
    inference(resolution,[],[f118,f9]) ).

fof(f118,plain,
    ( ~ less_than_or_equal(k(l),upper_bound)
    | spl1_10 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f104,plain,
    spl1_6,
    inference(avatar_contradiction_clause,[],[f103]) ).

fof(f103,plain,
    ( $false
    | spl1_6 ),
    inference(subsumption_resolution,[],[f98,f77]) ).

fof(f77,plain,
    ( ~ less_than_or_equal(l,upper_bound)
    | spl1_6 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f98,plain,
    ( less_than_or_equal(l,upper_bound)
    | spl1_6 ),
    inference(resolution,[],[f88,f11]) ).

fof(f88,plain,
    ( ~ less_than_or_equal(g(upper_bound),upper_bound)
    | spl1_6 ),
    inference(resolution,[],[f77,f13]) ).

fof(f28,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f19,f25,f21]) ).

fof(f19,plain,
    ( ~ less_than_or_equal(n0,sF0)
    | ~ less_than_or_equal(sF0,n0) ),
    inference(definition_folding,[],[f17,f18,f18]) ).

fof(f17,axiom,
    ( ~ less_than_or_equal(n0,f(l))
    | ~ less_than_or_equal(f(l),n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986',prove_there_is_x_which_crosses) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:33:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.CpIhEnW51n/Vampire---4.8_17986
% 0.54/0.74  % (18366)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)
% 0.54/0.74  % (18359)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)
% 0.54/0.74  % (18361)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (18360)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)
% 0.54/0.74  % (18362)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)
% 0.54/0.74  % (18364)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)
% 0.54/0.74  % (18363)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)
% 0.54/0.74  % (18365)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)
% 0.59/0.75  % (18366)Instruction limit reached!
% 0.59/0.75  % (18366)------------------------------
% 0.59/0.75  % (18366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (18366)Termination reason: Unknown
% 0.59/0.75  % (18366)Termination phase: Saturation
% 0.59/0.75  
% 0.59/0.75  % (18366)Memory used [KB]: 1510
% 0.59/0.75  % (18366)Time elapsed: 0.018 s
% 0.59/0.75  % (18366)Instructions burned: 59 (million)
% 0.59/0.75  % (18366)------------------------------
% 0.59/0.75  % (18366)------------------------------
% 0.59/0.76  % (18373)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)
% 0.59/0.76  % (18362)Instruction limit reached!
% 0.59/0.76  % (18362)------------------------------
% 0.59/0.76  % (18362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (18362)Termination reason: Unknown
% 0.59/0.76  % (18362)Termination phase: Saturation
% 0.59/0.76  % (18364)Instruction limit reached!
% 0.59/0.76  % (18364)------------------------------
% 0.59/0.76  % (18364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  
% 0.59/0.76  % (18362)Memory used [KB]: 1237
% 0.59/0.76  % (18362)Time elapsed: 0.020 s
% 0.59/0.76  % (18362)Instructions burned: 34 (million)
% 0.59/0.76  % (18362)------------------------------
% 0.59/0.76  % (18362)------------------------------
% 0.59/0.76  % (18364)Termination reason: Unknown
% 0.59/0.76  % (18364)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (18364)Memory used [KB]: 1210
% 0.59/0.76  % (18364)Time elapsed: 0.020 s
% 0.59/0.76  % (18364)Instructions burned: 45 (million)
% 0.59/0.76  % (18364)------------------------------
% 0.59/0.76  % (18364)------------------------------
% 0.59/0.76  % (18363)Instruction limit reached!
% 0.59/0.76  % (18363)------------------------------
% 0.59/0.76  % (18363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (18363)Termination reason: Unknown
% 0.59/0.76  % (18363)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (18363)Memory used [KB]: 1255
% 0.59/0.76  % (18363)Time elapsed: 0.021 s
% 0.59/0.76  % (18363)Instructions burned: 34 (million)
% 0.59/0.76  % (18363)------------------------------
% 0.59/0.76  % (18363)------------------------------
% 0.59/0.76  % (18359)Instruction limit reached!
% 0.59/0.76  % (18359)------------------------------
% 0.59/0.76  % (18359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (18359)Termination reason: Unknown
% 0.59/0.76  % (18359)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (18359)Memory used [KB]: 1386
% 0.59/0.76  % (18359)Time elapsed: 0.023 s
% 0.59/0.76  % (18359)Instructions burned: 35 (million)
% 0.59/0.76  % (18359)------------------------------
% 0.59/0.76  % (18359)------------------------------
% 0.59/0.76  % (18375)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)
% 0.59/0.76  % (18377)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 (2996ds/208Mi)
% 0.59/0.76  % (18378)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 (2996ds/52Mi)
% 0.59/0.76  % (18380)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 (2996ds/518Mi)
% 0.70/0.77  % (18360)Instruction limit reached!
% 0.70/0.77  % (18360)------------------------------
% 0.70/0.77  % (18360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.77  % (18360)Termination reason: Unknown
% 0.70/0.77  % (18360)Termination phase: Saturation
% 0.70/0.77  
% 0.70/0.77  % (18360)Memory used [KB]: 1227
% 0.70/0.77  % (18360)Time elapsed: 0.029 s
% 0.70/0.77  % (18360)Instructions burned: 52 (million)
% 0.70/0.77  % (18360)------------------------------
% 0.70/0.77  % (18360)------------------------------
% 0.70/0.77  % (18386)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 (2996ds/42Mi)
% 0.70/0.77  % (18373)Instruction limit reached!
% 0.70/0.77  % (18373)------------------------------
% 0.70/0.77  % (18373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.77  % (18373)Termination reason: Unknown
% 0.70/0.77  % (18373)Termination phase: Saturation
% 0.70/0.77  
% 0.70/0.77  % (18373)Memory used [KB]: 1638
% 0.70/0.77  % (18373)Time elapsed: 0.018 s
% 0.70/0.77  % (18373)Instructions burned: 58 (million)
% 0.70/0.77  % (18373)------------------------------
% 0.70/0.77  % (18373)------------------------------
% 0.70/0.78  % (18365)Instruction limit reached!
% 0.70/0.78  % (18365)------------------------------
% 0.70/0.78  % (18365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.78  % (18365)Termination reason: Unknown
% 0.70/0.78  % (18365)Termination phase: Saturation
% 0.70/0.78  
% 0.70/0.78  % (18365)Memory used [KB]: 1790
% 0.70/0.78  % (18365)Time elapsed: 0.043 s
% 0.70/0.78  % (18365)Instructions burned: 83 (million)
% 0.70/0.78  % (18365)------------------------------
% 0.70/0.78  % (18365)------------------------------
% 0.70/0.78  % (18392)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)
% 0.70/0.78  % (18394)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)
% 0.70/0.78  % (18378)Instruction limit reached!
% 0.70/0.78  % (18378)------------------------------
% 0.70/0.78  % (18378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.78  % (18378)Termination reason: Unknown
% 0.70/0.78  % (18378)Termination phase: Saturation
% 0.70/0.78  
% 0.70/0.78  % (18378)Memory used [KB]: 1245
% 0.70/0.78  % (18378)Time elapsed: 0.024 s
% 0.70/0.78  % (18378)Instructions burned: 53 (million)
% 0.70/0.78  % (18378)------------------------------
% 0.70/0.78  % (18378)------------------------------
% 0.70/0.79  % (18361)Instruction limit reached!
% 0.70/0.79  % (18361)------------------------------
% 0.70/0.79  % (18361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.79  % (18361)Termination reason: Unknown
% 0.70/0.79  % (18361)Termination phase: Saturation
% 0.70/0.79  
% 0.70/0.79  % (18361)Memory used [KB]: 1761
% 0.70/0.79  % (18361)Time elapsed: 0.050 s
% 0.70/0.79  % (18361)Instructions burned: 79 (million)
% 0.70/0.79  % (18361)------------------------------
% 0.70/0.79  % (18361)------------------------------
% 0.70/0.79  % (18375)Instruction limit reached!
% 0.70/0.79  % (18375)------------------------------
% 0.70/0.79  % (18375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.79  % (18375)Termination reason: Unknown
% 0.70/0.79  % (18375)Termination phase: Saturation
% 0.70/0.79  
% 0.70/0.79  % (18375)Memory used [KB]: 1291
% 0.70/0.79  % (18375)Time elapsed: 0.028 s
% 0.70/0.79  % (18375)Instructions burned: 50 (million)
% 0.70/0.79  % (18375)------------------------------
% 0.70/0.79  % (18375)------------------------------
% 0.70/0.79  % (18396)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)
% 0.70/0.79  % (18397)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)
% 0.70/0.79  % (18398)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)
% 0.70/0.80  % (18386)Instruction limit reached!
% 0.70/0.80  % (18386)------------------------------
% 0.70/0.80  % (18386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.80  % (18386)Termination reason: Unknown
% 0.70/0.80  % (18386)Termination phase: Saturation
% 0.70/0.80  
% 0.70/0.80  % (18386)Memory used [KB]: 1633
% 0.70/0.80  % (18386)Time elapsed: 0.028 s
% 0.70/0.80  % (18386)Instructions burned: 42 (million)
% 0.70/0.80  % (18386)------------------------------
% 0.70/0.80  % (18386)------------------------------
% 0.70/0.80  % (18405)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)
% 0.94/0.82  % (18405)Instruction limit reached!
% 0.94/0.82  % (18405)------------------------------
% 0.94/0.82  % (18405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.82  % (18405)Termination reason: Unknown
% 0.94/0.82  % (18405)Termination phase: Saturation
% 0.94/0.82  
% 0.94/0.82  % (18405)Memory used [KB]: 1256
% 0.94/0.82  % (18405)Time elapsed: 0.020 s
% 0.94/0.82  % (18405)Instructions burned: 32 (million)
% 0.94/0.82  % (18405)------------------------------
% 0.94/0.82  % (18405)------------------------------
% 0.94/0.83  % (18414)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.94/0.83  % (18398)Instruction limit reached!
% 0.94/0.83  % (18398)------------------------------
% 0.94/0.83  % (18398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.83  % (18398)Termination reason: Unknown
% 0.94/0.83  % (18398)Termination phase: Saturation
% 0.94/0.83  
% 0.94/0.83  % (18398)Memory used [KB]: 1945
% 0.94/0.83  % (18398)Time elapsed: 0.038 s
% 0.94/0.83  % (18398)Instructions burned: 63 (million)
% 0.94/0.83  % (18398)------------------------------
% 0.94/0.83  % (18398)------------------------------
% 0.94/0.83  % (18417)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 (2995ds/55Mi)
% 1.00/0.84  % (18397)Instruction limit reached!
% 1.00/0.84  % (18397)------------------------------
% 1.00/0.84  % (18397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.84  % (18397)Termination reason: Unknown
% 1.00/0.84  % (18397)Termination phase: Saturation
% 1.00/0.84  
% 1.00/0.84  % (18397)Memory used [KB]: 1592
% 1.00/0.84  % (18397)Time elapsed: 0.054 s
% 1.00/0.84  % (18397)Instructions burned: 93 (million)
% 1.00/0.84  % (18397)------------------------------
% 1.00/0.84  % (18397)------------------------------
% 1.00/0.85  % (18418)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 (2995ds/53Mi)
% 1.00/0.85  % (18394)Instruction limit reached!
% 1.00/0.85  % (18394)------------------------------
% 1.00/0.85  % (18394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.85  % (18394)Termination reason: Unknown
% 1.00/0.85  % (18394)Termination phase: Saturation
% 1.00/0.85  
% 1.00/0.85  % (18394)Memory used [KB]: 1771
% 1.00/0.85  % (18394)Time elapsed: 0.069 s
% 1.00/0.85  % (18394)Instructions burned: 119 (million)
% 1.00/0.85  % (18394)------------------------------
% 1.00/0.85  % (18394)------------------------------
% 1.00/0.85  % (18392)Instruction limit reached!
% 1.00/0.85  % (18392)------------------------------
% 1.00/0.85  % (18392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.85  % (18392)Termination reason: Unknown
% 1.00/0.85  % (18392)Termination phase: Saturation
% 1.00/0.85  
% 1.00/0.85  % (18396)Instruction limit reached!
% 1.00/0.85  % (18396)------------------------------
% 1.00/0.85  % (18396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.85  % (18396)Termination reason: Unknown
% 1.00/0.85  % (18396)Termination phase: Saturation
% 1.00/0.85  
% 1.00/0.85  % (18396)Memory used [KB]: 1927
% 1.00/0.85  % (18396)Time elapsed: 0.066 s
% 1.00/0.85  % (18396)Instructions burned: 145 (million)
% 1.00/0.85  % (18396)------------------------------
% 1.00/0.85  % (18396)------------------------------
% 1.00/0.85  % (18392)Memory used [KB]: 2027
% 1.00/0.85  % (18392)Time elapsed: 0.092 s
% 1.00/0.85  % (18392)Instructions burned: 243 (million)
% 1.00/0.85  % (18392)------------------------------
% 1.00/0.85  % (18392)------------------------------
% 1.00/0.85  % (18377)Instruction limit reached!
% 1.00/0.85  % (18377)------------------------------
% 1.00/0.85  % (18377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.85  % (18377)Termination reason: Unknown
% 1.00/0.85  % (18377)Termination phase: Saturation
% 1.00/0.85  
% 1.00/0.85  % (18377)Memory used [KB]: 2048
% 1.00/0.85  % (18377)Time elapsed: 0.095 s
% 1.00/0.85  % (18377)Instructions burned: 208 (million)
% 1.00/0.85  % (18377)------------------------------
% 1.00/0.85  % (18377)------------------------------
% 1.00/0.85  % (18419)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 (2995ds/46Mi)
% 1.00/0.85  % (18420)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 (2995ds/102Mi)
% 1.00/0.85  % (18421)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 (2995ds/35Mi)
% 1.00/0.86  % (18422)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 1.00/0.86  % (18417)Instruction limit reached!
% 1.00/0.86  % (18417)------------------------------
% 1.00/0.86  % (18417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.86  % (18417)Termination reason: Unknown
% 1.00/0.86  % (18417)Termination phase: Saturation
% 1.00/0.86  
% 1.00/0.86  % (18417)Memory used [KB]: 1740
% 1.00/0.86  % (18417)Time elapsed: 0.030 s
% 1.00/0.86  % (18417)Instructions burned: 55 (million)
% 1.00/0.86  % (18417)------------------------------
% 1.00/0.86  % (18417)------------------------------
% 1.00/0.86  % (18423)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 (2995ds/109Mi)
% 1.00/0.86  % (18418)Instruction limit reached!
% 1.00/0.86  % (18418)------------------------------
% 1.00/0.86  % (18418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.86  % (18418)Termination reason: Unknown
% 1.00/0.86  % (18418)Termination phase: Saturation
% 1.00/0.86  
% 1.00/0.86  % (18418)Memory used [KB]: 1203
% 1.00/0.86  % (18418)Time elapsed: 0.018 s
% 1.00/0.86  % (18418)Instructions burned: 53 (million)
% 1.00/0.86  % (18418)------------------------------
% 1.00/0.86  % (18418)------------------------------
% 1.00/0.87  % (18421)Instruction limit reached!
% 1.00/0.87  % (18421)------------------------------
% 1.00/0.87  % (18421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.87  % (18424)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)
% 1.00/0.87  % (18421)Termination reason: Unknown
% 1.00/0.87  % (18421)Termination phase: Saturation
% 1.00/0.87  
% 1.00/0.87  % (18421)Memory used [KB]: 1109
% 1.00/0.87  % (18421)Time elapsed: 0.033 s
% 1.00/0.87  % (18421)Instructions burned: 38 (million)
% 1.00/0.87  % (18421)------------------------------
% 1.00/0.87  % (18421)------------------------------
% 1.00/0.87  % (18426)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 (2994ds/69Mi)
% 1.00/0.87  % (18419)Instruction limit reached!
% 1.00/0.87  % (18419)------------------------------
% 1.00/0.87  % (18419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.87  % (18419)Termination reason: Unknown
% 1.00/0.87  % (18419)Termination phase: Saturation
% 1.00/0.87  
% 1.00/0.87  % (18419)Memory used [KB]: 1972
% 1.00/0.87  % (18419)Time elapsed: 0.020 s
% 1.00/0.87  % (18419)Instructions burned: 47 (million)
% 1.00/0.87  % (18419)------------------------------
% 1.00/0.87  % (18419)------------------------------
% 1.00/0.88  % (18430)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 (2994ds/40Mi)
% 1.00/0.88  % (18422)Instruction limit reached!
% 1.00/0.88  % (18422)------------------------------
% 1.00/0.88  % (18422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.88  % (18422)Termination reason: Unknown
% 1.00/0.88  % (18422)Termination phase: Saturation
% 1.00/0.88  
% 1.00/0.88  % (18422)Memory used [KB]: 1544
% 1.00/0.88  % (18422)Time elapsed: 0.050 s
% 1.00/0.88  % (18422)Instructions burned: 88 (million)
% 1.00/0.88  % (18422)------------------------------
% 1.00/0.88  % (18422)------------------------------
% 1.00/0.89  % (18436)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 (2994ds/360Mi)
% 1.00/0.89  % (18420)Instruction limit reached!
% 1.00/0.89  % (18420)------------------------------
% 1.00/0.89  % (18420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.89  % (18420)Termination reason: Unknown
% 1.00/0.89  % (18420)Termination phase: Saturation
% 1.00/0.89  
% 1.00/0.89  % (18420)Memory used [KB]: 1961
% 1.00/0.89  % (18420)Time elapsed: 0.054 s
% 1.00/0.89  % (18420)Instructions burned: 105 (million)
% 1.00/0.89  % (18420)------------------------------
% 1.00/0.89  % (18420)------------------------------
% 1.00/0.89  % (18430)Instruction limit reached!
% 1.00/0.89  % (18430)------------------------------
% 1.00/0.89  % (18430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.89  % (18430)Termination reason: Unknown
% 1.00/0.89  % (18430)Termination phase: Saturation
% 1.00/0.89  
% 1.00/0.89  % (18430)Memory used [KB]: 1299
% 1.00/0.89  % (18430)Time elapsed: 0.014 s
% 1.00/0.89  % (18430)Instructions burned: 42 (million)
% 1.00/0.89  % (18430)------------------------------
% 1.00/0.89  % (18430)------------------------------
% 1.00/0.89  % (18437)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 (2994ds/161Mi)
% 1.00/0.89  % (18426)Instruction limit reached!
% 1.00/0.89  % (18426)------------------------------
% 1.00/0.89  % (18426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.89  % (18426)Termination reason: Unknown
% 1.00/0.89  % (18426)Termination phase: Saturation
% 1.00/0.89  
% 1.00/0.89  % (18426)Memory used [KB]: 1597
% 1.00/0.89  % (18426)Time elapsed: 0.023 s
% 1.00/0.89  % (18426)Instructions burned: 71 (million)
% 1.00/0.89  % (18426)------------------------------
% 1.00/0.89  % (18426)------------------------------
% 1.00/0.89  % (18439)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.00/0.89  % (18440)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.00/0.89  % (18423)Instruction limit reached!
% 1.00/0.89  % (18423)------------------------------
% 1.00/0.89  % (18423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.89  % (18423)Termination reason: Unknown
% 1.00/0.89  % (18423)Termination phase: Saturation
% 1.00/0.89  
% 1.00/0.89  % (18423)Memory used [KB]: 1700
% 1.00/0.89  % (18423)Time elapsed: 0.055 s
% 1.00/0.89  % (18423)Instructions burned: 109 (million)
% 1.00/0.89  % (18423)------------------------------
% 1.00/0.89  % (18423)------------------------------
% 1.00/0.90  % (18442)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.00/0.90  % (18440)Instruction limit reached!
% 1.00/0.90  % (18440)------------------------------
% 1.00/0.90  % (18440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.90  % (18440)Termination reason: Unknown
% 1.00/0.90  % (18440)Termination phase: Saturation
% 1.00/0.90  
% 1.00/0.90  % (18440)Memory used [KB]: 1950
% 1.00/0.90  % (18440)Time elapsed: 0.013 s
% 1.00/0.90  % (18440)Instructions burned: 38 (million)
% 1.00/0.90  % (18440)------------------------------
% 1.00/0.90  % (18440)------------------------------
% 1.00/0.91  % (18446)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 1.00/0.91  % (18439)Instruction limit reached!
% 1.00/0.91  % (18439)------------------------------
% 1.00/0.91  % (18439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (18439)Termination reason: Unknown
% 1.00/0.91  % (18439)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (18439)Memory used [KB]: 1125
% 1.00/0.91  % (18439)Time elapsed: 0.023 s
% 1.00/0.91  % (18439)Instructions burned: 81 (million)
% 1.00/0.91  % (18439)------------------------------
% 1.00/0.91  % (18439)------------------------------
% 1.00/0.91  % (18442)Instruction limit reached!
% 1.00/0.91  % (18442)------------------------------
% 1.00/0.91  % (18442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (18442)Termination reason: Unknown
% 1.00/0.91  % (18442)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (18442)Memory used [KB]: 1521
% 1.00/0.91  % (18442)Time elapsed: 0.019 s
% 1.00/0.91  % (18442)Instructions burned: 57 (million)
% 1.00/0.91  % (18442)------------------------------
% 1.00/0.91  % (18442)------------------------------
% 1.00/0.92  % (18449)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.00/0.92  % (18424)Instruction limit reached!
% 1.00/0.92  % (18424)------------------------------
% 1.00/0.92  % (18424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.92  % (18424)Termination reason: Unknown
% 1.00/0.92  % (18424)Termination phase: Saturation
% 1.00/0.92  
% 1.00/0.92  % (18424)Memory used [KB]: 2768
% 1.00/0.92  % (18424)Time elapsed: 0.052 s
% 1.00/0.92  % (18424)Instructions burned: 161 (million)
% 1.00/0.92  % (18424)------------------------------
% 1.00/0.92  % (18424)------------------------------
% 1.00/0.92  % (18451)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.00/0.92  % (18452)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 1.00/0.92  % (18446)Instruction limit reached!
% 1.00/0.92  % (18446)------------------------------
% 1.00/0.92  % (18446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.92  % (18446)Termination reason: Unknown
% 1.00/0.92  % (18446)Termination phase: Saturation
% 1.00/0.92  
% 1.00/0.92  % (18446)Memory used [KB]: 1547
% 1.00/0.92  % (18446)Time elapsed: 0.017 s
% 1.00/0.92  % (18446)Instructions burned: 49 (million)
% 1.00/0.92  % (18446)------------------------------
% 1.00/0.92  % (18446)------------------------------
% 1.00/0.92  % (18436)First to succeed.
% 1.00/0.92  % (18436)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18193"
% 1.71/0.93  % (18453)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 1.71/0.93  % (18449)Instruction limit reached!
% 1.71/0.93  % (18449)------------------------------
% 1.71/0.93  % (18449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.93  % (18449)Termination reason: Unknown
% 1.71/0.93  % (18449)Termination phase: Saturation
% 1.71/0.93  
% 1.71/0.93  % (18449)Memory used [KB]: 1211
% 1.71/0.93  % (18436)Refutation found. Thanks to Tanya!
% 1.71/0.93  % SZS status Unsatisfiable for Vampire---4
% 1.71/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.71/0.93  % (18436)------------------------------
% 1.71/0.93  % (18436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.93  % (18436)Termination reason: Refutation
% 1.71/0.93  
% 1.71/0.93  % (18436)Memory used [KB]: 1808
% 1.71/0.93  % (18436)Time elapsed: 0.040 s
% 1.71/0.93  % (18436)Instructions burned: 113 (million)
% 1.71/0.93  % (18193)Success in time 0.567 s
% 1.71/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------