TSTP Solution File: ARI617_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI617_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 02:09:32 EDT 2024

% Result   : Theorem 0.76s 0.91s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  126 (  14 unt;   5 typ;   0 def)
%            Number of atoms       :  317 (  81 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  351 ( 155   ~; 142   |;  36   &)
%                                         (  13 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  271 ( 104 atm;  62 fun;  49 num;  56 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :    8 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   56 (  52   !;   4   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $int > $int ).

tff(func_def_1,type,
    g: $int > $int ).

tff(func_def_6,type,
    sK0: $int ).

tff(func_def_7,type,
    sF1: $int ).

tff(func_def_8,type,
    sF2: $int ).

tff(f2718,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f94,f137,f158,f159,f164,f179,f244,f343,f571,f968,f2624,f2633,f2634,f2649,f2653,f2700,f2709]) ).

tff(f2709,plain,
    ( spl3_7
    | ~ spl3_10
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f2708,f161,f151,f127]) ).

tff(f127,plain,
    ( spl3_7
  <=> ( 0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f151,plain,
    ( spl3_10
  <=> ( 0 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

tff(f161,plain,
    ( spl3_12
  <=> ( 0 = $sum(sK0,sF2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

tff(f2708,plain,
    ( ( 0 = sK0 )
    | ~ spl3_10
    | ~ spl3_12 ),
    inference(evaluation,[],[f2707]) ).

tff(f2707,plain,
    ( ( 0 = $sum(sK0,0) )
    | ~ spl3_10
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f163,f153]) ).

tff(f153,plain,
    ( ( 0 = sF2 )
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f151]) ).

tff(f163,plain,
    ( ( 0 = $sum(sK0,sF2) )
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f161]) ).

tff(f2700,plain,
    ( spl3_9
    | spl3_5 ),
    inference(avatar_split_clause,[],[f309,f61,f143]) ).

tff(f143,plain,
    ( spl3_9
  <=> ( sF1 = $uminus(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

tff(f61,plain,
    ( spl3_5
  <=> $less($uminus(sK0),sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f309,plain,
    ( $less($uminus(sK0),sF1)
    | ( sF1 = $uminus(sK0) ) ),
    inference(superposition,[],[f107,f28]) ).

tff(f28,plain,
    f(sK0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f107,plain,
    ! [X0: $int] :
      ( $less($uminus(X0),f(X0))
      | ( f(X0) = $uminus(X0) ) ),
    inference(resolution,[],[f11,f23]) ).

tff(f23,plain,
    ! [X2: $int] : ~ $less(f(X2),$uminus(X2)),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ( ( f(sK0) != g(sK0) )
    & ! [X1: $int] :
        ( ( ( $uminus(X1) = g(X1) )
          | ( g(X1) = X1 ) )
        & ~ $less(g(X1),0) )
    & ! [X2: $int] :
        ( ( ~ $less($uminus(X2),f(X2))
          | ~ $less(X2,f(X2)) )
        & ~ $less(f(X2),$uminus(X2))
        & ~ $less(f(X2),X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).

tff(f20,plain,
    ( ? [X0: $int] : ( f(X0) != g(X0) )
   => ( f(sK0) != g(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f19,plain,
    ( ? [X0: $int] : ( f(X0) != g(X0) )
    & ! [X1: $int] :
        ( ( ( $uminus(X1) = g(X1) )
          | ( g(X1) = X1 ) )
        & ~ $less(g(X1),0) )
    & ! [X2: $int] :
        ( ( ~ $less($uminus(X2),f(X2))
          | ~ $less(X2,f(X2)) )
        & ~ $less(f(X2),$uminus(X2))
        & ~ $less(f(X2),X2) ) ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ( ? [X2: $int] : ( f(X2) != g(X2) )
    & ! [X0: $int] :
        ( ( ( $uminus(X0) = g(X0) )
          | ( g(X0) = X0 ) )
        & ~ $less(g(X0),0) )
    & ! [X1: $int] :
        ( ( ~ $less($uminus(X1),f(X1))
          | ~ $less(X1,f(X1)) )
        & ~ $less(f(X1),$uminus(X1))
        & ~ $less(f(X1),X1) ) ),
    inference(flattening,[],[f17]) ).

tff(f17,plain,
    ( ? [X2: $int] : ( f(X2) != g(X2) )
    & ! [X0: $int] :
        ( ( ( $uminus(X0) = g(X0) )
          | ( g(X0) = X0 ) )
        & ~ $less(g(X0),0) )
    & ! [X1: $int] :
        ( ( ~ $less($uminus(X1),f(X1))
          | ~ $less(X1,f(X1)) )
        & ~ $less(f(X1),$uminus(X1))
        & ~ $less(f(X1),X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f16,plain,
    ~ ( ( ! [X0: $int] :
            ( ( ( $uminus(X0) = g(X0) )
              | ( g(X0) = X0 ) )
            & ~ $less(g(X0),0) )
        & ! [X1: $int] :
            ( ( ~ $less($uminus(X1),f(X1))
              | ~ $less(X1,f(X1)) )
            & ~ $less(f(X1),$uminus(X1))
            & ~ $less(f(X1),X1) ) )
     => ! [X2: $int] : ( f(X2) = g(X2) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ( ( ! [X0: $int] :
            ( ( ( $uminus(X0) = g(X0) )
              | ( g(X0) = X0 ) )
            & ~ $less(g(X0),0) )
        & ! [X0: $int] :
            ( ( ~ $less($uminus(X0),f(X0))
              | ~ $less(X0,f(X0)) )
            & ~ $less(f(X0),$uminus(X0))
            & ~ $less(f(X0),X0) ) )
     => ! [X0: $int] : ( f(X0) = g(X0) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ! [X0: $int] :
            ( ( ( $uminus(X0) = g(X0) )
              | ( g(X0) = X0 ) )
            & $lesseq(0,g(X0)) )
        & ! [X0: $int] :
            ( ( $lesseq(f(X0),$uminus(X0))
              | $lesseq(f(X0),X0) )
            & $lesseq($uminus(X0),f(X0))
            & $lesseq(X0,f(X0)) ) )
     => ! [X0: $int] : ( f(X0) = g(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ! [X0: $int] :
          ( ( ( $uminus(X0) = g(X0) )
            | ( g(X0) = X0 ) )
          & $lesseq(0,g(X0)) )
      & ! [X0: $int] :
          ( ( $lesseq(f(X0),$uminus(X0))
            | $lesseq(f(X0),X0) )
          & $lesseq($uminus(X0),f(X0))
          & $lesseq(X0,f(X0)) ) )
   => ! [X0: $int] : ( f(X0) = g(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VlpRuVQ2tr/Vampire---4.8_24787',absolute_value_defs) ).

tff(f11,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f2653,plain,
    ( spl3_14
    | spl3_1 ),
    inference(avatar_split_clause,[],[f274,f41,f172]) ).

tff(f172,plain,
    ( spl3_14
  <=> ( sK0 = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

tff(f41,plain,
    ( spl3_1
  <=> $less(sK0,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f274,plain,
    ( $less(sK0,sF1)
    | ( sK0 = sF1 ) ),
    inference(superposition,[],[f106,f28]) ).

tff(f106,plain,
    ! [X0: $int] :
      ( $less(X0,f(X0))
      | ( f(X0) = X0 ) ),
    inference(resolution,[],[f11,f22]) ).

tff(f22,plain,
    ! [X2: $int] : ~ $less(f(X2),X2),
    inference(cnf_transformation,[],[f21]) ).

tff(f2649,plain,
    ( spl3_6
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f2648]) ).

tff(f2648,plain,
    ( $false
    | spl3_6
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f2646,f129]) ).

tff(f129,plain,
    ( ( 0 = sK0 )
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f127]) ).

tff(f2646,plain,
    ( ( 0 != sK0 )
    | spl3_6
    | ~ spl3_10 ),
    inference(evaluation,[],[f2642]) ).

tff(f2642,plain,
    ( ( sK0 != $uminus(0) )
    | spl3_6
    | ~ spl3_10 ),
    inference(superposition,[],[f92,f153]) ).

tff(f92,plain,
    ( ( sK0 != $uminus(sF2) )
    | spl3_6 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f91,plain,
    ( spl3_6
  <=> ( sK0 = $uminus(sF2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f2634,plain,
    ( spl3_8
    | ~ spl3_3
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f1037,f155,f49,f131]) ).

tff(f131,plain,
    ( spl3_8
  <=> $less(0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f49,plain,
    ( spl3_3
  <=> ( sK0 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f155,plain,
    ( spl3_11
  <=> $less(0,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

tff(f1037,plain,
    ( $less(0,sK0)
    | ~ spl3_3
    | ~ spl3_11 ),
    inference(superposition,[],[f157,f51]) ).

tff(f51,plain,
    ( ( sK0 = sF2 )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f49]) ).

tff(f157,plain,
    ( $less(0,sF2)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f155]) ).

tff(f2633,plain,
    ( spl3_7
    | spl3_8
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f1122,f49,f131,f127]) ).

tff(f1122,plain,
    ( $less(0,sK0)
    | ( 0 = sK0 )
    | ~ spl3_3 ),
    inference(resolution,[],[f1035,f11]) ).

tff(f1035,plain,
    ( ~ $less(sK0,0)
    | ~ spl3_3 ),
    inference(superposition,[],[f67,f51]) ).

tff(f67,plain,
    ~ $less(sF2,0),
    inference(superposition,[],[f25,f29]) ).

tff(f29,plain,
    g(sK0) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f25,plain,
    ! [X1: $int] : ~ $less(g(X1),0),
    inference(cnf_transformation,[],[f21]) ).

tff(f2624,plain,
    ( ~ spl3_8
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f2623]) ).

tff(f2623,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f2617,f37]) ).

tff(f37,plain,
    ~ $less(sF1,sK0),
    inference(superposition,[],[f22,f28]) ).

tff(f2617,plain,
    ( $less(sF1,sK0)
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(resolution,[],[f2579,f588]) ).

tff(f588,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,0)
        | $less(X0,sK0) )
    | ~ spl3_8 ),
    inference(resolution,[],[f133,f10]) ).

tff(f10,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f133,plain,
    ( $less(0,sK0)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f131]) ).

tff(f2579,plain,
    ( $less(sF1,0)
    | ~ spl3_8
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f2561,f133]) ).

tff(f2561,plain,
    ( $less(sF1,0)
    | ~ $less(0,sK0)
    | ~ spl3_9 ),
    inference(superposition,[],[f1859,f6]) ).

tff(f6,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f1859,plain,
    ( ! [X0: $int] :
        ( $less($sum(sF1,X0),0)
        | ~ $less(X0,sK0) )
    | ~ spl3_9 ),
    inference(superposition,[],[f206,f1193]) ).

tff(f1193,plain,
    ( ( 0 = $sum(sK0,sF1) )
    | ~ spl3_9 ),
    inference(superposition,[],[f8,f145]) ).

tff(f145,plain,
    ( ( sF1 = $uminus(sK0) )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f143]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f206,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X1,X0),$sum(X2,X1))
      | ~ $less(X0,X2) ),
    inference(superposition,[],[f12,f4]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f12,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_145,[]) ).

tff(f968,plain,
    ( ~ spl3_8
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f967]) ).

tff(f967,plain,
    ( $false
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f966,f133]) ).

tff(f966,plain,
    ( ~ $less(0,sK0)
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f960,f67]) ).

tff(f960,plain,
    ( $less(sF2,0)
    | ~ $less(0,sK0)
    | ~ spl3_12 ),
    inference(superposition,[],[f766,f6]) ).

tff(f766,plain,
    ( ! [X0: $int] :
        ( $less($sum(sF2,X0),0)
        | ~ $less(X0,sK0) )
    | ~ spl3_12 ),
    inference(superposition,[],[f536,f4]) ).

tff(f536,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,sF2),0)
        | ~ $less(X0,sK0) )
    | ~ spl3_12 ),
    inference(superposition,[],[f12,f163]) ).

tff(f571,plain,
    ( spl3_8
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f570,f172,f155,f45,f131]) ).

tff(f45,plain,
    ( spl3_2
  <=> $less(sF2,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f570,plain,
    ( $less(0,sK0)
    | ~ spl3_2
    | ~ spl3_11
    | ~ spl3_14 ),
    inference(resolution,[],[f272,f157]) ).

tff(f272,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sF2)
        | $less(X0,sK0) )
    | ~ spl3_2
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f271,f174]) ).

tff(f174,plain,
    ( ( sK0 = sF1 )
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f271,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sF2)
        | $less(X0,sF1) )
    | ~ spl3_2 ),
    inference(resolution,[],[f46,f10]) ).

tff(f46,plain,
    ( $less(sF2,sF1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f343,plain,
    ( ~ spl3_6
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

tff(f342,plain,
    ( $false
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f341,f30]) ).

tff(f30,plain,
    sF1 != sF2,
    inference(definition_folding,[],[f27,f29,f28]) ).

tff(f27,plain,
    f(sK0) != g(sK0),
    inference(cnf_transformation,[],[f21]) ).

tff(f341,plain,
    ( ( sF1 = sF2 )
    | ~ spl3_6
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f315,f145]) ).

tff(f315,plain,
    ( ( sF2 = $uminus(sK0) )
    | ~ spl3_6 ),
    inference(superposition,[],[f14,f93]) ).

tff(f93,plain,
    ( ( sK0 = $uminus(sF2) )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f14,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f244,plain,
    ( ~ spl3_2
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(avatar_contradiction_clause,[],[f243]) ).

tff(f243,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f242,f67]) ).

tff(f242,plain,
    ( $less(sF2,0)
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f46,f232]) ).

tff(f232,plain,
    ( ( 0 = sF1 )
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f174,f129]) ).

tff(f179,plain,
    ( spl3_3
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f70,f56,f49]) ).

tff(f56,plain,
    ( spl3_4
  <=> $less(sF1,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f70,plain,
    ( ~ $less(sF1,sF2)
    | ( sK0 = sF2 ) ),
    inference(forward_demodulation,[],[f66,f28]) ).

tff(f66,plain,
    ( ~ $less(f(sK0),sF2)
    | ( sK0 = sF2 ) ),
    inference(superposition,[],[f32,f29]) ).

tff(f32,plain,
    ! [X0: $int] :
      ( ~ $less(f(X0),g(X0))
      | ( g(X0) = X0 ) ),
    inference(superposition,[],[f23,f26]) ).

tff(f26,plain,
    ! [X1: $int] :
      ( ( $uminus(X1) = g(X1) )
      | ( g(X1) = X1 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f164,plain,
    ( spl3_3
    | spl3_12 ),
    inference(avatar_split_clause,[],[f103,f161,f49]) ).

tff(f103,plain,
    ( ( 0 = $sum(sK0,sF2) )
    | ( sK0 = sF2 ) ),
    inference(superposition,[],[f80,f29]) ).

tff(f80,plain,
    ! [X0: $int] :
      ( ( 0 = $sum(X0,g(X0)) )
      | ( g(X0) = X0 ) ),
    inference(superposition,[],[f8,f26]) ).

tff(f159,plain,
    ( spl3_2
    | spl3_4 ),
    inference(avatar_split_clause,[],[f138,f56,f45]) ).

tff(f138,plain,
    ( $less(sF2,sF1)
    | spl3_4 ),
    inference(subsumption_resolution,[],[f117,f30]) ).

tff(f117,plain,
    ( $less(sF2,sF1)
    | ( sF1 = sF2 )
    | spl3_4 ),
    inference(resolution,[],[f11,f58]) ).

tff(f58,plain,
    ( ~ $less(sF1,sF2)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f56]) ).

tff(f158,plain,
    ( spl3_10
    | spl3_11 ),
    inference(avatar_split_clause,[],[f119,f155,f151]) ).

tff(f119,plain,
    ( $less(0,sF2)
    | ( 0 = sF2 ) ),
    inference(resolution,[],[f11,f67]) ).

tff(f137,plain,
    ( spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f136]) ).

tff(f136,plain,
    ( $false
    | spl3_1
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f135,f97]) ).

tff(f97,plain,
    ( ( sK0 != sF1 )
    | ~ spl3_3 ),
    inference(superposition,[],[f30,f51]) ).

tff(f135,plain,
    ( ( sK0 = sF1 )
    | spl3_1 ),
    inference(subsumption_resolution,[],[f116,f43]) ).

tff(f43,plain,
    ( ~ $less(sK0,sF1)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f116,plain,
    ( $less(sK0,sF1)
    | ( sK0 = sF1 ) ),
    inference(resolution,[],[f11,f37]) ).

tff(f94,plain,
    ( spl3_3
    | spl3_6 ),
    inference(avatar_split_clause,[],[f82,f91,f49]) ).

tff(f82,plain,
    ( ( sK0 = $uminus(sF2) )
    | ( sK0 = sF2 ) ),
    inference(superposition,[],[f71,f29]) ).

tff(f71,plain,
    ! [X0: $int] :
      ( ( $uminus(g(X0)) = X0 )
      | ( g(X0) = X0 ) ),
    inference(superposition,[],[f14,f26]) ).

tff(f64,plain,
    ( ~ spl3_1
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f35,f61,f41]) ).

tff(f35,plain,
    ( ~ $less($uminus(sK0),sF1)
    | ~ $less(sK0,sF1) ),
    inference(superposition,[],[f24,f28]) ).

tff(f24,plain,
    ! [X2: $int] :
      ( ~ $less($uminus(X2),f(X2))
      | ~ $less(X2,f(X2)) ),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem    : ARI617_1 : TPTP v8.1.2. Released v5.1.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 19:06:39 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a TF0_THM_EQU_ARI problem
% 0.16/0.31  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.VlpRuVQ2tr/Vampire---4.8_24787
% 0.60/0.80  % (24903)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)
% 0.60/0.80  % (24905)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)
% 0.60/0.80  % (24904)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)
% 0.60/0.80  % (24900)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)
% 0.60/0.80  % (24902)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (24901)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)
% 0.60/0.80  % (24906)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)
% 0.60/0.80  % (24907)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.80  % (24903)Refutation not found, incomplete strategy% (24903)------------------------------
% 0.63/0.80  % (24903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (24903)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (24903)Memory used [KB]: 971
% 0.63/0.80  % (24903)Time elapsed: 0.004 s
% 0.63/0.80  % (24903)Instructions burned: 3 (million)
% 0.63/0.80  % (24903)------------------------------
% 0.63/0.80  % (24903)------------------------------
% 0.63/0.81  % (24908)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.63/0.81  % (24900)Instruction limit reached!
% 0.63/0.81  % (24900)------------------------------
% 0.63/0.81  % (24900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81  % (24900)Termination reason: Unknown
% 0.63/0.81  % (24900)Termination phase: Saturation
% 0.63/0.81  
% 0.63/0.81  % (24900)Memory used [KB]: 1138
% 0.63/0.81  % (24900)Time elapsed: 0.019 s
% 0.63/0.81  % (24900)Instructions burned: 35 (million)
% 0.63/0.81  % (24900)------------------------------
% 0.63/0.81  % (24900)------------------------------
% 0.63/0.82  % (24904)Instruction limit reached!
% 0.63/0.82  % (24904)------------------------------
% 0.63/0.82  % (24904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (24904)Termination reason: Unknown
% 0.63/0.82  % (24904)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (24904)Memory used [KB]: 1216
% 0.63/0.82  % (24904)Time elapsed: 0.021 s
% 0.63/0.82  % (24904)Instructions burned: 36 (million)
% 0.63/0.82  % (24904)------------------------------
% 0.63/0.82  % (24904)------------------------------
% 0.63/0.82  % (24909)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.63/0.82  % (24910)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.82  % (24905)Instruction limit reached!
% 0.63/0.82  % (24905)------------------------------
% 0.63/0.82  % (24905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (24905)Termination reason: Unknown
% 0.63/0.82  % (24905)Termination phase: Saturation
% 0.63/0.82  
% 0.63/0.82  % (24905)Memory used [KB]: 1195
% 0.63/0.82  % (24905)Time elapsed: 0.025 s
% 0.63/0.82  % (24905)Instructions burned: 45 (million)
% 0.63/0.82  % (24905)------------------------------
% 0.63/0.82  % (24905)------------------------------
% 0.63/0.82  % (24911)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.83  % (24901)Instruction limit reached!
% 0.63/0.83  % (24901)------------------------------
% 0.63/0.83  % (24901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (24901)Termination reason: Unknown
% 0.63/0.83  % (24901)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (24901)Memory used [KB]: 1506
% 0.63/0.83  % (24901)Time elapsed: 0.031 s
% 0.63/0.83  % (24901)Instructions burned: 52 (million)
% 0.63/0.83  % (24901)------------------------------
% 0.63/0.83  % (24901)------------------------------
% 0.63/0.83  % (24907)Instruction limit reached!
% 0.63/0.83  % (24907)------------------------------
% 0.63/0.83  % (24907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (24907)Termination reason: Unknown
% 0.63/0.83  % (24907)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (24907)Memory used [KB]: 1200
% 0.63/0.83  % (24907)Time elapsed: 0.031 s
% 0.63/0.83  % (24907)Instructions burned: 57 (million)
% 0.63/0.83  % (24907)------------------------------
% 0.63/0.83  % (24907)------------------------------
% 0.76/0.83  % (24912)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)
% 0.76/0.83  % (24913)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)
% 0.76/0.84  % (24906)Instruction limit reached!
% 0.76/0.84  % (24906)------------------------------
% 0.76/0.84  % (24906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (24906)Termination reason: Unknown
% 0.76/0.84  % (24906)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (24906)Memory used [KB]: 1351
% 0.76/0.84  % (24906)Time elapsed: 0.042 s
% 0.76/0.84  % (24906)Instructions burned: 83 (million)
% 0.76/0.84  % (24906)------------------------------
% 0.76/0.84  % (24906)------------------------------
% 0.76/0.84  % (24908)Instruction limit reached!
% 0.76/0.84  % (24908)------------------------------
% 0.76/0.84  % (24908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (24908)Termination reason: Unknown
% 0.76/0.84  % (24908)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (24908)Memory used [KB]: 1713
% 0.76/0.84  % (24908)Time elapsed: 0.028 s
% 0.76/0.84  % (24908)Instructions burned: 55 (million)
% 0.76/0.84  % (24908)------------------------------
% 0.76/0.84  % (24908)------------------------------
% 0.76/0.84  % (24902)Instruction limit reached!
% 0.76/0.84  % (24902)------------------------------
% 0.76/0.84  % (24902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (24914)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)
% 0.76/0.84  % (24902)Termination reason: Unknown
% 0.76/0.84  % (24902)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (24902)Memory used [KB]: 1693
% 0.76/0.84  % (24902)Time elapsed: 0.046 s
% 0.76/0.84  % (24902)Instructions burned: 79 (million)
% 0.76/0.84  % (24902)------------------------------
% 0.76/0.84  % (24902)------------------------------
% 0.76/0.84  % (24915)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)
% 0.76/0.84  % (24909)Instruction limit reached!
% 0.76/0.84  % (24909)------------------------------
% 0.76/0.84  % (24909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (24909)Termination reason: Unknown
% 0.76/0.84  % (24909)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (24909)Memory used [KB]: 1426
% 0.76/0.84  % (24909)Time elapsed: 0.029 s
% 0.76/0.84  % (24916)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)
% 0.76/0.84  % (24909)Instructions burned: 51 (million)
% 0.76/0.84  % (24909)------------------------------
% 0.76/0.84  % (24909)------------------------------
% 0.76/0.85  % (24917)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)
% 0.76/0.85  % (24911)Instruction limit reached!
% 0.76/0.85  % (24911)------------------------------
% 0.76/0.85  % (24911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.85  % (24911)Termination reason: Unknown
% 0.76/0.85  % (24911)Termination phase: Saturation
% 0.76/0.85  
% 0.76/0.85  % (24911)Memory used [KB]: 1433
% 0.76/0.85  % (24911)Time elapsed: 0.030 s
% 0.76/0.85  % (24911)Instructions burned: 53 (million)
% 0.76/0.85  % (24911)------------------------------
% 0.76/0.85  % (24911)------------------------------
% 0.76/0.85  % (24913)Instruction limit reached!
% 0.76/0.85  % (24913)------------------------------
% 0.76/0.85  % (24913)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.85  % (24913)Termination reason: Unknown
% 0.76/0.85  % (24913)Termination phase: Saturation
% 0.76/0.85  
% 0.76/0.85  % (24913)Memory used [KB]: 1428
% 0.76/0.85  % (24913)Time elapsed: 0.045 s
% 0.76/0.85  % (24913)Instructions burned: 42 (million)
% 0.76/0.85  % (24913)------------------------------
% 0.76/0.85  % (24913)------------------------------
% 0.76/0.86  % (24918)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)
% 0.76/0.86  % (24919)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)
% 0.76/0.87  % (24919)Instruction limit reached!
% 0.76/0.87  % (24919)------------------------------
% 0.76/0.87  % (24919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.87  % (24919)Termination reason: Unknown
% 0.76/0.87  % (24919)Termination phase: Saturation
% 0.76/0.87  
% 0.76/0.87  % (24919)Memory used [KB]: 1092
% 0.76/0.87  % (24919)Time elapsed: 0.018 s
% 0.76/0.87  % (24919)Instructions burned: 32 (million)
% 0.76/0.87  % (24919)------------------------------
% 0.76/0.87  % (24919)------------------------------
% 0.76/0.88  % (24920)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)
% 0.76/0.89  % (24918)Instruction limit reached!
% 0.76/0.89  % (24918)------------------------------
% 0.76/0.89  % (24918)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.89  % (24918)Termination reason: Unknown
% 0.76/0.89  % (24918)Termination phase: Saturation
% 0.76/0.89  
% 0.76/0.89  % (24918)Memory used [KB]: 1604
% 0.76/0.89  % (24918)Time elapsed: 0.032 s
% 0.76/0.89  % (24918)Instructions burned: 62 (million)
% 0.76/0.89  % (24918)------------------------------
% 0.76/0.89  % (24918)------------------------------
% 0.76/0.89  % (24921)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)
% 0.76/0.89  % (24917)Instruction limit reached!
% 0.76/0.89  % (24917)------------------------------
% 0.76/0.89  % (24917)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.89  % (24917)Termination reason: Unknown
% 0.76/0.89  % (24917)Termination phase: Saturation
% 0.76/0.89  
% 0.76/0.89  % (24917)Memory used [KB]: 1726
% 0.76/0.89  % (24917)Time elapsed: 0.046 s
% 0.76/0.89  % (24917)Instructions burned: 93 (million)
% 0.76/0.89  % (24917)------------------------------
% 0.76/0.89  % (24917)------------------------------
% 0.76/0.90  % (24922)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)
% 0.76/0.90  % (24915)Instruction limit reached!
% 0.76/0.90  % (24915)------------------------------
% 0.76/0.90  % (24915)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.90  % (24915)Termination reason: Unknown
% 0.76/0.90  % (24915)Termination phase: Saturation
% 0.76/0.90  
% 0.76/0.90  % (24915)Memory used [KB]: 1634
% 0.76/0.90  % (24915)Time elapsed: 0.057 s
% 0.76/0.90  % (24915)Instructions burned: 119 (million)
% 0.76/0.90  % (24915)------------------------------
% 0.76/0.90  % (24915)------------------------------
% 0.76/0.90  % (24923)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)
% 0.76/0.90  % (24910)First to succeed.
% 0.76/0.91  % (24910)Refutation found. Thanks to Tanya!
% 0.76/0.91  % SZS status Theorem for Vampire---4
% 0.76/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.91  % (24910)------------------------------
% 0.76/0.91  % (24910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.91  % (24910)Termination reason: Refutation
% 0.76/0.91  
% 0.76/0.91  % (24910)Memory used [KB]: 1834
% 0.76/0.91  % (24910)Time elapsed: 0.087 s
% 0.76/0.91  % (24910)Instructions burned: 166 (million)
% 0.76/0.91  % (24910)------------------------------
% 0.76/0.91  % (24910)------------------------------
% 0.76/0.91  % (24895)Success in time 0.593 s
% 0.76/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------