TSTP Solution File: ARI615_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI615_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 15:46:37 EDT 2022

% Result   : Theorem 2.17s 0.67s
% Output   : Refutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  128 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :  322 (  22 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  343 ( 144   ~; 124   |;  36   &)
%                                         (  26 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  450 ( 119 atm; 198 fun;  26 num; 107 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :   25 (  21 usr;  21 prp; 0-3 aty)
%            Number of functors    :    7 (   4 usr;   5 con; 0-2 aty)
%            Number of variables   :  107 (  83   !;  24   ?; 107   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(func_def_5,type,
    sK1: $int ).

tff(func_def_6,type,
    sK2: $int ).

tff(func_def_7,type,
    sK3: $int ).

tff(pred_def_1,type,
    p: ( $int * $int * $int ) > $o ).

tff(f813,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f39,f43,f48,f58,f59,f65,f108,f174,f186,f200,f230,f238,f277,f389,f464,f751,f760,f797,f811,f812]) ).

tff(f812,plain,
    ( ( $sum(sK2,sK3) != $sum(0,sK1) )
    | $less($sum(0,sK1),$sum(sK2,sK3))
    | ~ $less($sum(sK2,sK3),$sum(0,sK1)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

tff(f811,plain,
    ( spl4_47
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f799,f795,f809]) ).

tff(f809,plain,
    ( spl4_47
  <=> ( $sum(sK2,sK3) = $sum(0,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

tff(f795,plain,
    ( spl4_46
  <=> ( $sum(0,sK1) = $sum(sK3,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

tff(f799,plain,
    ( ( $sum(sK2,sK3) = $sum(0,sK1) )
    | ~ spl4_46 ),
    inference(superposition,[],[f796,f4]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f796,plain,
    ( ( $sum(0,sK1) = $sum(sK3,sK2) )
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f795]) ).

tff(f797,plain,
    ( spl4_46
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f789,f184,f795]) ).

tff(f184,plain,
    ( spl4_17
  <=> ( $sum(sK1,$uminus(sK2)) = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

tff(f789,plain,
    ( ( $sum(0,sK1) = $sum(sK3,sK2) )
    | ~ spl4_17 ),
    inference(forward_demodulation,[],[f788,f4]) ).

tff(f788,plain,
    ( ( $sum(sK1,0) = $sum(sK3,sK2) )
    | ~ spl4_17 ),
    inference(evaluation,[],[f784]) ).

tff(f784,plain,
    ( ( $sum(sK1,0) = $sum(sK3,$uminus($uminus(sK2))) )
    | ~ spl4_17 ),
    inference(superposition,[],[f766,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    introduced(theory_axiom_145,[]) ).

tff(f766,plain,
    ( ! [X0: $int] : ( $sum(sK1,$sum($uminus(sK2),X0)) = $sum(sK3,X0) )
    | ~ spl4_17 ),
    inference(superposition,[],[f5,f185]) ).

tff(f185,plain,
    ( ( $sum(sK1,$uminus(sK2)) = sK3 )
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f184]) ).

tff(f5,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f760,plain,
    ( ~ spl4_5
    | ~ spl4_45 ),
    inference(avatar_contradiction_clause,[],[f759]) ).

tff(f759,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_45 ),
    inference(subsumption_resolution,[],[f753,f9]) ).

tff(f9,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f753,plain,
    ( $less($sum(sK2,sK3),$sum(sK2,sK3))
    | ~ spl4_5
    | ~ spl4_45 ),
    inference(resolution,[],[f750,f74]) ).

tff(f74,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less($sum(sK0,X0),X1)
        | $less($sum(sK2,X0),X1) )
    | ~ spl4_5 ),
    inference(resolution,[],[f61,f10]) ).

tff(f10,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less(X0,X2)
      | ~ $less(X1,X2) ),
    introduced(theory_axiom_148,[]) ).

tff(f61,plain,
    ( ! [X1: $int] : $less($sum(sK2,X1),$sum(sK0,X1))
    | ~ spl4_5 ),
    inference(resolution,[],[f54,f12]) ).

tff(f12,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f54,plain,
    ( $less(sK2,sK0)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f53]) ).

tff(f53,plain,
    ( spl4_5
  <=> $less(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f750,plain,
    ( $less($sum(sK0,sK3),$sum(sK2,sK3))
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f749]) ).

tff(f749,plain,
    ( spl4_45
  <=> $less($sum(sK0,sK3),$sum(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

tff(f751,plain,
    ( spl4_45
    | ~ spl4_20
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f747,f462,f228,f749]) ).

tff(f228,plain,
    ( spl4_20
  <=> $less($sum(sK0,sK3),$sum(0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

tff(f462,plain,
    ( spl4_29
  <=> $less($sum(0,sK1),$sum(sK2,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

tff(f747,plain,
    ( $less($sum(sK0,sK3),$sum(sK2,sK3))
    | ~ spl4_20
    | ~ spl4_29 ),
    inference(resolution,[],[f254,f463]) ).

tff(f463,plain,
    ( $less($sum(0,sK1),$sum(sK2,sK3))
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f462]) ).

tff(f254,plain,
    ( ! [X0: $int] :
        ( ~ $less($sum(0,sK1),X0)
        | $less($sum(sK0,sK3),X0) )
    | ~ spl4_20 ),
    inference(resolution,[],[f229,f10]) ).

tff(f229,plain,
    ( $less($sum(sK0,sK3),$sum(0,sK1))
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f228]) ).

tff(f464,plain,
    ( spl4_29
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f410,f181,f462]) ).

tff(f181,plain,
    ( spl4_16
  <=> $less($sum(sK1,$uminus(sK2)),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

tff(f410,plain,
    ( $less($sum(0,sK1),$sum(sK2,sK3))
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f409,f4]) ).

tff(f409,plain,
    ( $less($sum(sK1,0),$sum(sK2,sK3))
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f401,f4]) ).

tff(f401,plain,
    ( $less($sum(sK1,0),$sum(sK3,sK2))
    | ~ spl4_16 ),
    inference(evaluation,[],[f396]) ).

tff(f396,plain,
    ( $less($sum(sK1,0),$sum(sK3,$uminus($uminus(sK2))))
    | ~ spl4_16 ),
    inference(superposition,[],[f189,f8]) ).

tff(f189,plain,
    ( ! [X1: $int] : $less($sum(sK1,$sum($uminus(sK2),X1)),$sum(sK3,X1))
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f188,f5]) ).

tff(f188,plain,
    ( ! [X1: $int] : $less($sum($sum(sK1,$uminus(sK2)),X1),$sum(sK3,X1))
    | ~ spl4_16 ),
    inference(resolution,[],[f182,f12]) ).

tff(f182,plain,
    ( $less($sum(sK1,$uminus(sK2)),sK3)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f181]) ).

tff(f389,plain,
    ( spl4_27
    | ~ spl4_5
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f367,f228,f53,f387]) ).

tff(f387,plain,
    ( spl4_27
  <=> $less($sum(sK2,sK3),$sum(0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

tff(f367,plain,
    ( $less($sum(sK2,sK3),$sum(0,sK1))
    | ~ spl4_5
    | ~ spl4_20 ),
    inference(resolution,[],[f74,f229]) ).

tff(f277,plain,
    ( spl4_19
    | ~ spl4_5
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f276,f172,f53,f198]) ).

tff(f198,plain,
    ( spl4_19
  <=> $less(sK3,$sum(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

tff(f172,plain,
    ( spl4_15
  <=> $less(sK3,$sum(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

tff(f276,plain,
    ( $less(sK3,$sum(sK0,sK1))
    | ~ spl4_5
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f273,f4]) ).

tff(f273,plain,
    ( $less(sK3,$sum(sK1,sK0))
    | ~ spl4_5
    | ~ spl4_15 ),
    inference(resolution,[],[f240,f150]) ).

tff(f150,plain,
    ( ! [X1: $int] : $less($sum(X1,sK2),$sum(X1,sK0))
    | ~ spl4_5 ),
    inference(superposition,[],[f77,f4]) ).

tff(f77,plain,
    ( ! [X1: $int] : $less($sum(X1,sK2),$sum(sK0,X1))
    | ~ spl4_5 ),
    inference(superposition,[],[f61,f4]) ).

tff(f240,plain,
    ( ! [X0: $int] :
        ( ~ $less($sum(sK1,sK2),X0)
        | $less(sK3,X0) )
    | ~ spl4_15 ),
    inference(resolution,[],[f173,f10]) ).

tff(f173,plain,
    ( $less(sK3,$sum(sK1,sK2))
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f238,plain,
    ( ~ spl4_11
    | ~ spl4_19 ),
    inference(avatar_contradiction_clause,[],[f237]) ).

tff(f237,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_19 ),
    inference(subsumption_resolution,[],[f234,f9]) ).

tff(f234,plain,
    ( $less($sum(sK0,sK1),$sum(sK0,sK1))
    | ~ spl4_11
    | ~ spl4_19 ),
    inference(resolution,[],[f231,f199]) ).

tff(f199,plain,
    ( $less(sK3,$sum(sK0,sK1))
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f198]) ).

tff(f231,plain,
    ( ! [X0: $int] :
        ( ~ $less(sK3,X0)
        | $less($sum(sK0,sK1),X0) )
    | ~ spl4_11 ),
    inference(resolution,[],[f107,f10]) ).

tff(f107,plain,
    ( $less($sum(sK0,sK1),sK3)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f106]) ).

tff(f106,plain,
    ( spl4_11
  <=> $less($sum(sK0,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

tff(f230,plain,
    ( spl4_20
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f226,f103,f228]) ).

tff(f103,plain,
    ( spl4_10
  <=> $less(sK3,$sum(sK1,$uminus(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f226,plain,
    ( $less($sum(sK0,sK3),$sum(0,sK1))
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f225,f4]) ).

tff(f225,plain,
    ( $less($sum(sK3,sK0),$sum(0,sK1))
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f217,f4]) ).

tff(f217,plain,
    ( $less($sum(sK3,sK0),$sum(sK1,0))
    | ~ spl4_10 ),
    inference(evaluation,[],[f216]) ).

tff(f216,plain,
    ( $less($sum(sK3,$uminus($uminus(sK0))),$sum(sK1,0))
    | ~ spl4_10 ),
    inference(superposition,[],[f196,f8]) ).

tff(f196,plain,
    ( ! [X1: $int] : $less($sum(sK3,X1),$sum(sK1,$sum($uminus(sK0),X1)))
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f195,f5]) ).

tff(f195,plain,
    ( ! [X1: $int] : $less($sum(sK3,X1),$sum($sum(sK1,$uminus(sK0)),X1))
    | ~ spl4_10 ),
    inference(resolution,[],[f104,f12]) ).

tff(f104,plain,
    ( $less(sK3,$sum(sK1,$uminus(sK0)))
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f103]) ).

tff(f200,plain,
    ( spl4_19
    | ~ spl4_5
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f177,f169,f53,f198]) ).

tff(f169,plain,
    ( spl4_14
  <=> ( sK3 = $sum(sK1,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

tff(f177,plain,
    ( $less(sK3,$sum(sK0,sK1))
    | ~ spl4_5
    | ~ spl4_14 ),
    inference(superposition,[],[f77,f170]) ).

tff(f170,plain,
    ( ( sK3 = $sum(sK1,sK2) )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f169]) ).

tff(f186,plain,
    ( spl4_16
    | spl4_17
    | spl4_7 ),
    inference(avatar_split_clause,[],[f67,f63,f184,f181]) ).

tff(f63,plain,
    ( spl4_7
  <=> $less(sK3,$sum(sK1,$uminus(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f67,plain,
    ( ( $sum(sK1,$uminus(sK2)) = sK3 )
    | $less($sum(sK1,$uminus(sK2)),sK3)
    | spl4_7 ),
    inference(resolution,[],[f64,f11]) ).

tff(f11,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f64,plain,
    ( ~ $less(sK3,$sum(sK1,$uminus(sK2)))
    | spl4_7 ),
    inference(avatar_component_clause,[],[f63]) ).

tff(f174,plain,
    ( spl4_14
    | spl4_15
    | spl4_4 ),
    inference(avatar_split_clause,[],[f50,f46,f172,f169]) ).

tff(f46,plain,
    ( spl4_4
  <=> $less($sum(sK1,sK2),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f50,plain,
    ( $less(sK3,$sum(sK1,sK2))
    | ( sK3 = $sum(sK1,sK2) )
    | spl4_4 ),
    inference(resolution,[],[f47,f11]) ).

tff(f47,plain,
    ( ~ $less($sum(sK1,sK2),sK3)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f46]) ).

tff(f108,plain,
    ( spl4_10
    | spl4_11
    | spl4_3 ),
    inference(avatar_split_clause,[],[f73,f41,f106,f103]) ).

tff(f41,plain,
    ( spl4_3
  <=> p(sK3,sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f73,plain,
    ( $less($sum(sK0,sK1),sK3)
    | $less(sK3,$sum(sK1,$uminus(sK0)))
    | spl4_3 ),
    inference(forward_demodulation,[],[f70,f4]) ).

tff(f70,plain,
    ( $less($sum(sK1,sK0),sK3)
    | $less(sK3,$sum(sK1,$uminus(sK0)))
    | spl4_3 ),
    inference(resolution,[],[f27,f42]) ).

tff(f42,plain,
    ( ~ p(sK3,sK1,sK0)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f27,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( p(X1,X0,X2)
      | $less(X1,$sum(X0,$uminus(X2)))
      | $less($sum(X0,X2),X1) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ( ! [X0: $int,X1: $int,X2: $int] :
        ( ( ( ~ $less($sum(X0,X2),X1)
            & ~ $less(X1,$sum(X0,$uminus(X2))) )
          | ~ p(X1,X0,X2) )
        & ( p(X1,X0,X2)
          | $less($sum(X0,X2),X1)
          | $less(X1,$sum(X0,$uminus(X2))) ) )
    & ~ p(sK3,sK1,sK0)
    & ~ $less(sK0,sK2)
    & p(sK3,sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f22]) ).

tff(f22,plain,
    ( ? [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ~ p(X6,X4,X3)
        & ~ $less(X3,X5)
        & p(X6,X4,X5) )
   => ( ~ p(sK3,sK1,sK0)
      & ~ $less(sK0,sK2)
      & p(sK3,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ( ! [X0: $int,X1: $int,X2: $int] :
        ( ( ( ~ $less($sum(X0,X2),X1)
            & ~ $less(X1,$sum(X0,$uminus(X2))) )
          | ~ p(X1,X0,X2) )
        & ( p(X1,X0,X2)
          | $less($sum(X0,X2),X1)
          | $less(X1,$sum(X0,$uminus(X2))) ) )
    & ? [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ~ p(X6,X4,X3)
        & ~ $less(X3,X5)
        & p(X6,X4,X5) ) ),
    inference(rectify,[],[f20]) ).

tff(f20,plain,
    ( ! [X1: $int,X2: $int,X0: $int] :
        ( ( ( ~ $less($sum(X1,X0),X2)
            & ~ $less(X2,$sum(X1,$uminus(X0))) )
          | ~ p(X2,X1,X0) )
        & ( p(X2,X1,X0)
          | $less($sum(X1,X0),X2)
          | $less(X2,$sum(X1,$uminus(X0))) ) )
    & ? [X3: $int,X6: $int,X5: $int,X4: $int] :
        ( ~ p(X4,X6,X3)
        & ~ $less(X3,X5)
        & p(X4,X6,X5) ) ),
    inference(flattening,[],[f19]) ).

tff(f19,plain,
    ( ! [X1: $int,X2: $int,X0: $int] :
        ( ( ( ~ $less($sum(X1,X0),X2)
            & ~ $less(X2,$sum(X1,$uminus(X0))) )
          | ~ p(X2,X1,X0) )
        & ( p(X2,X1,X0)
          | $less($sum(X1,X0),X2)
          | $less(X2,$sum(X1,$uminus(X0))) ) )
    & ? [X3: $int,X6: $int,X5: $int,X4: $int] :
        ( ~ p(X4,X6,X3)
        & ~ $less(X3,X5)
        & p(X4,X6,X5) ) ),
    inference(nnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ! [X1: $int,X2: $int,X0: $int] :
        ( ( ~ $less($sum(X1,X0),X2)
          & ~ $less(X2,$sum(X1,$uminus(X0))) )
      <=> p(X2,X1,X0) )
    & ? [X3: $int,X6: $int,X5: $int,X4: $int] :
        ( ~ p(X4,X6,X3)
        & ~ $less(X3,X5)
        & p(X4,X6,X5) ) ),
    inference(flattening,[],[f17]) ).

tff(f17,plain,
    ( ? [X5: $int,X4: $int,X6: $int,X3: $int] :
        ( ~ p(X4,X6,X3)
        & p(X4,X6,X5)
        & ~ $less(X3,X5) )
    & ! [X1: $int,X2: $int,X0: $int] :
        ( ( ~ $less($sum(X1,X0),X2)
          & ~ $less(X2,$sum(X1,$uminus(X0))) )
      <=> p(X2,X1,X0) ) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f16,plain,
    ~ ( ! [X1: $int,X2: $int,X0: $int] :
          ( ( ~ $less($sum(X1,X0),X2)
            & ~ $less(X2,$sum(X1,$uminus(X0))) )
        <=> p(X2,X1,X0) )
     => ! [X5: $int,X4: $int,X6: $int,X3: $int] :
          ( ~ $less(X3,X5)
         => ( p(X4,X6,X5)
           => p(X4,X6,X3) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ( ! [X2: $int,X1: $int,X0: $int] :
          ( p(X0,X1,X2)
        <=> ( ~ $less(X0,$sum(X1,$uminus(X2)))
            & ~ $less($sum(X1,X2),X0) ) )
     => ! [X3: $int,X0: $int,X2: $int,X1: $int] :
          ( ~ $less(X3,X2)
         => ( p(X0,X1,X2)
           => p(X0,X1,X3) ) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ! [X2: $int,X1: $int,X0: $int] :
          ( p(X0,X1,X2)
        <=> ( $lesseq($sum(X1,$uminus(X2)),X0)
            & $lesseq(X0,$sum(X1,X2)) ) )
     => ! [X3: $int,X0: $int,X2: $int,X1: $int] :
          ( $lesseq(X2,X3)
         => ( p(X0,X1,X2)
           => p(X0,X1,X3) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ! [X2: $int,X1: $int,X0: $int] :
        ( p(X0,X1,X2)
      <=> ( $lesseq($sum(X1,$uminus(X2)),X0)
          & $lesseq(X0,$sum(X1,X2)) ) )
   => ! [X3: $int,X0: $int,X2: $int,X1: $int] :
        ( $lesseq(X2,X3)
       => ( p(X0,X1,X2)
         => p(X0,X1,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_with_smaller_radius_contained) ).

tff(f65,plain,
    ( ~ spl4_7
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f49,f37,f63]) ).

tff(f37,plain,
    ( spl4_2
  <=> p(sK3,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f49,plain,
    ( ~ $less(sK3,$sum(sK1,$uminus(sK2)))
    | ~ spl4_2 ),
    inference(resolution,[],[f28,f38]) ).

tff(f38,plain,
    ( p(sK3,sK1,sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f37]) ).

tff(f28,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ p(X1,X0,X2)
      | ~ $less(X1,$sum(X0,$uminus(X2))) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f59,plain,
    ( ( sK0 != sK2 )
    | ~ p(sK3,sK1,sK2)
    | p(sK3,sK1,sK0) ),
    introduced(theory_tautology_sat_conflict,[]) ).

tff(f58,plain,
    ( spl4_5
    | spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f35,f31,f56,f53]) ).

tff(f56,plain,
    ( spl4_6
  <=> ( sK0 = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f31,plain,
    ( spl4_1
  <=> $less(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f35,plain,
    ( ( sK0 = sK2 )
    | $less(sK2,sK0)
    | spl4_1 ),
    inference(resolution,[],[f32,f11]) ).

tff(f32,plain,
    ( ~ $less(sK0,sK2)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f31]) ).

tff(f48,plain,
    ( ~ spl4_4
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f44,f37,f46]) ).

tff(f44,plain,
    ( ~ $less($sum(sK1,sK2),sK3)
    | ~ spl4_2 ),
    inference(resolution,[],[f29,f38]) ).

tff(f29,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ p(X1,X0,X2)
      | ~ $less($sum(X0,X2),X1) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f43,plain,
    ~ spl4_3,
    inference(avatar_split_clause,[],[f26,f41]) ).

tff(f26,plain,
    ~ p(sK3,sK1,sK0),
    inference(cnf_transformation,[],[f23]) ).

tff(f39,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f24,f37]) ).

tff(f24,plain,
    p(sK3,sK1,sK2),
    inference(cnf_transformation,[],[f23]) ).

tff(f33,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f25,f31]) ).

tff(f25,plain,
    ~ $less(sK0,sK2),
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI615=1 : TPTP v8.1.0. Released v5.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 15:52:33 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  % (11908)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.50  % (11916)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50  % (11908)Instruction limit reached!
% 0.21/0.50  % (11908)------------------------------
% 0.21/0.50  % (11908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (11924)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.50  % (11908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (11908)Termination reason: Unknown
% 0.21/0.50  % (11908)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (11908)Memory used [KB]: 5500
% 0.21/0.50  % (11908)Time elapsed: 0.100 s
% 0.21/0.50  % (11908)Instructions burned: 4 (million)
% 0.21/0.50  % (11908)------------------------------
% 0.21/0.50  % (11908)------------------------------
% 0.21/0.50  % (11924)Refutation not found, incomplete strategy% (11924)------------------------------
% 0.21/0.50  % (11924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (11924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (11924)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (11924)Memory used [KB]: 5373
% 0.21/0.50  % (11924)Time elapsed: 0.100 s
% 0.21/0.50  % (11924)Instructions burned: 2 (million)
% 0.21/0.50  % (11924)------------------------------
% 0.21/0.50  % (11924)------------------------------
% 0.21/0.51  % (11916)Refutation not found, incomplete strategy% (11916)------------------------------
% 0.21/0.51  % (11916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (11916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (11916)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (11916)Memory used [KB]: 5373
% 0.21/0.51  % (11916)Time elapsed: 0.100 s
% 0.21/0.51  % (11916)Instructions burned: 1 (million)
% 0.21/0.51  % (11916)------------------------------
% 0.21/0.51  % (11916)------------------------------
% 0.21/0.51  % (11897)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.21/0.51  % (11919)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.52  % (11899)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.52  % (11912)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (11911)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (11912)Instruction limit reached!
% 0.21/0.52  % (11912)------------------------------
% 0.21/0.52  % (11912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (11912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (11912)Termination reason: Unknown
% 0.21/0.52  % (11912)Termination phase: Preprocessing 3
% 0.21/0.52  
% 0.21/0.52  % (11912)Memory used [KB]: 895
% 0.21/0.52  % (11912)Time elapsed: 0.002 s
% 0.21/0.52  % (11912)Instructions burned: 2 (million)
% 0.21/0.52  % (11912)------------------------------
% 0.21/0.52  % (11912)------------------------------
% 0.21/0.53  % (11904)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.53  % (11903)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.53  % (11902)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54  % (11910)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.54  % (11910)Refutation not found, incomplete strategy% (11910)------------------------------
% 0.21/0.54  % (11910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (11910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (11910)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (11910)Memory used [KB]: 5373
% 0.21/0.54  % (11910)Time elapsed: 0.125 s
% 0.21/0.54  % (11910)------------------------------
% 0.21/0.54  % (11910)------------------------------
% 0.21/0.54  % (11922)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.54  % (11923)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54  % (11925)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.54  % (11921)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.21/0.54  % (11900)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54  % (11901)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (11900)Instruction limit reached!
% 0.21/0.54  % (11900)------------------------------
% 0.21/0.54  % (11900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (11900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (11900)Termination reason: Unknown
% 0.21/0.54  % (11900)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (11900)Memory used [KB]: 5500
% 0.21/0.54  % (11900)Time elapsed: 0.137 s
% 0.21/0.54  % (11900)Instructions burned: 2 (million)
% 0.21/0.54  % (11900)------------------------------
% 0.21/0.54  % (11900)------------------------------
% 0.21/0.54  % (11926)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.21/0.54  % (11898)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54  % (11899)Instruction limit reached!
% 0.21/0.54  % (11899)------------------------------
% 0.21/0.54  % (11899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (11899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (11899)Termination reason: Unknown
% 0.21/0.54  % (11899)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (11899)Memory used [KB]: 5500
% 0.21/0.54  % (11899)Time elapsed: 0.141 s
% 0.21/0.54  % (11899)Instructions burned: 8 (million)
% 0.21/0.54  % (11899)------------------------------
% 0.21/0.54  % (11899)------------------------------
% 0.21/0.54  % (11907)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.55  % (11906)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (11906)Instruction limit reached!
% 0.21/0.55  % (11906)------------------------------
% 0.21/0.55  % (11906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (11906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (11906)Termination reason: Unknown
% 0.21/0.55  % (11906)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (11906)Memory used [KB]: 5500
% 0.21/0.55  % (11906)Time elapsed: 0.142 s
% 0.21/0.55  % (11906)Instructions burned: 2 (million)
% 0.21/0.55  % (11906)------------------------------
% 0.21/0.55  % (11906)------------------------------
% 0.21/0.55  % (11918)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.55  % (11918)Refutation not found, incomplete strategy% (11918)------------------------------
% 0.21/0.55  % (11918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (11918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (11918)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (11918)Memory used [KB]: 5373
% 0.21/0.55  % (11918)Time elapsed: 0.142 s
% 0.21/0.55  % (11918)------------------------------
% 0.21/0.55  % (11918)------------------------------
% 0.21/0.55  % (11914)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55  % (11909)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (11915)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.55  % (11909)Instruction limit reached!
% 0.21/0.55  % (11909)------------------------------
% 0.21/0.55  % (11909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (11909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (11909)Termination reason: Unknown
% 0.21/0.55  % (11909)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (11909)Memory used [KB]: 5373
% 0.21/0.55  % (11909)Time elapsed: 0.002 s
% 0.21/0.55  % (11909)Instructions burned: 2 (million)
% 0.21/0.55  % (11909)------------------------------
% 0.21/0.55  % (11909)------------------------------
% 0.21/0.55  % (11915)Refutation not found, incomplete strategy% (11915)------------------------------
% 0.21/0.55  % (11915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (11915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (11915)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (11915)Memory used [KB]: 5373
% 0.21/0.55  % (11915)Time elapsed: 0.148 s
% 0.21/0.55  % (11915)Instructions burned: 2 (million)
% 0.21/0.55  % (11915)------------------------------
% 0.21/0.55  % (11915)------------------------------
% 0.21/0.55  % (11905)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.21/0.55  % (11917)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.56  % (11920)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56  % (11913)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (11913)Instruction limit reached!
% 0.21/0.56  % (11913)------------------------------
% 0.21/0.56  % (11913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (11913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (11913)Termination reason: Unknown
% 0.21/0.56  % (11913)Termination phase: Preprocessing 3
% 0.21/0.56  
% 0.21/0.56  % (11913)Memory used [KB]: 895
% 0.21/0.56  % (11913)Time elapsed: 0.003 s
% 0.21/0.56  % (11913)Instructions burned: 2 (million)
% 0.21/0.56  % (11913)------------------------------
% 0.21/0.56  % (11913)------------------------------
% 1.74/0.58  % (11902)Instruction limit reached!
% 1.74/0.58  % (11902)------------------------------
% 1.74/0.58  % (11902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (11902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (11902)Termination reason: Unknown
% 1.74/0.58  % (11902)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (11902)Memory used [KB]: 5628
% 1.74/0.58  % (11902)Time elapsed: 0.135 s
% 1.74/0.58  % (11902)Instructions burned: 16 (million)
% 1.74/0.58  % (11902)------------------------------
% 1.74/0.58  % (11902)------------------------------
% 1.74/0.58  % (11917)Instruction limit reached!
% 1.74/0.58  % (11917)------------------------------
% 1.74/0.58  % (11917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (11917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (11917)Termination reason: Unknown
% 1.74/0.58  % (11917)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (11917)Memory used [KB]: 1151
% 1.74/0.58  % (11917)Time elapsed: 0.181 s
% 1.74/0.58  % (11917)Instructions burned: 16 (million)
% 1.74/0.58  % (11917)------------------------------
% 1.74/0.58  % (11917)------------------------------
% 1.74/0.58  % (11925)Instruction limit reached!
% 1.74/0.58  % (11925)------------------------------
% 1.74/0.58  % (11925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (11925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (11925)Termination reason: Unknown
% 1.74/0.58  % (11925)Termination phase: Saturation
% 1.74/0.58  
% 1.74/0.58  % (11925)Memory used [KB]: 5756
% 1.74/0.58  % (11925)Time elapsed: 0.180 s
% 1.74/0.58  % (11925)Instructions burned: 23 (million)
% 1.74/0.58  % (11925)------------------------------
% 1.74/0.58  % (11925)------------------------------
% 1.74/0.59  % (11901)Instruction limit reached!
% 1.74/0.59  % (11901)------------------------------
% 1.74/0.59  % (11901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (11901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (11901)Termination reason: Unknown
% 1.74/0.59  % (11901)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (11901)Memory used [KB]: 6140
% 1.74/0.59  % (11901)Time elapsed: 0.181 s
% 1.74/0.59  % (11901)Instructions burned: 37 (million)
% 1.74/0.59  % (11901)------------------------------
% 1.74/0.59  % (11901)------------------------------
% 1.74/0.59  % (11903)Instruction limit reached!
% 1.74/0.59  % (11903)------------------------------
% 1.74/0.59  % (11903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (11903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (11903)Termination reason: Unknown
% 1.74/0.59  % (11903)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (11903)Memory used [KB]: 5884
% 1.74/0.59  % (11903)Time elapsed: 0.135 s
% 1.74/0.59  % (11903)Instructions burned: 32 (million)
% 1.74/0.59  % (11903)------------------------------
% 1.74/0.59  % (11903)------------------------------
% 1.92/0.59  % (11898)Instruction limit reached!
% 1.92/0.59  % (11898)------------------------------
% 1.92/0.59  % (11898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.59  % (11898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60  % (11898)Termination reason: Unknown
% 1.92/0.60  % (11898)Termination phase: Saturation
% 1.92/0.60  
% 1.92/0.60  % (11898)Memory used [KB]: 5884
% 1.92/0.60  % (11898)Time elapsed: 0.188 s
% 1.92/0.60  % (11898)Instructions burned: 35 (million)
% 1.92/0.60  % (11898)------------------------------
% 1.92/0.60  % (11898)------------------------------
% 1.92/0.60  % (11919)Instruction limit reached!
% 1.92/0.60  % (11919)------------------------------
% 1.92/0.60  % (11919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60  % (11919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60  % (11919)Termination reason: Unknown
% 1.92/0.60  % (11919)Termination phase: Saturation
% 1.92/0.60  
% 1.92/0.60  % (11919)Memory used [KB]: 1279
% 1.92/0.60  % (11919)Time elapsed: 0.157 s
% 1.92/0.60  % (11919)Instructions burned: 47 (million)
% 1.92/0.60  % (11919)------------------------------
% 1.92/0.60  % (11919)------------------------------
% 1.92/0.60  % (11905)Instruction limit reached!
% 1.92/0.60  % (11905)------------------------------
% 1.92/0.60  % (11905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60  % (11905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60  % (11905)Termination reason: Unknown
% 1.92/0.60  % (11905)Termination phase: Saturation
% 1.92/0.60  
% 1.92/0.60  % (11905)Memory used [KB]: 5756
% 1.92/0.60  % (11905)Time elapsed: 0.191 s
% 1.92/0.60  % (11905)Instructions burned: 27 (million)
% 1.92/0.60  % (11905)------------------------------
% 1.92/0.60  % (11905)------------------------------
% 1.92/0.60  % (11907)Instruction limit reached!
% 1.92/0.60  % (11907)------------------------------
% 1.92/0.60  % (11907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60  % (11907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60  % (11907)Termination reason: Unknown
% 1.92/0.60  % (11907)Termination phase: Saturation
% 1.92/0.60  
% 1.92/0.60  % (11907)Memory used [KB]: 5628
% 1.92/0.60  % (11907)Time elapsed: 0.180 s
% 1.92/0.60  % (11907)Instructions burned: 35 (million)
% 1.92/0.60  % (11907)------------------------------
% 1.92/0.60  % (11907)------------------------------
% 1.92/0.60  % (11904)Instruction limit reached!
% 1.92/0.60  % (11904)------------------------------
% 1.92/0.60  % (11904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60  % (11904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60  % (11904)Termination reason: Unknown
% 1.92/0.60  % (11904)Termination phase: Saturation
% 1.92/0.60  
% 1.92/0.60  % (11904)Memory used [KB]: 5884
% 1.92/0.60  % (11904)Time elapsed: 0.196 s
% 1.92/0.60  % (11904)Instructions burned: 36 (million)
% 1.92/0.60  % (11904)------------------------------
% 1.92/0.60  % (11904)------------------------------
% 1.92/0.61  % (11923)Instruction limit reached!
% 1.92/0.61  % (11923)------------------------------
% 1.92/0.61  % (11923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61  % (11923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61  % (11923)Termination reason: Unknown
% 1.92/0.61  % (11923)Termination phase: Saturation
% 1.92/0.61  
% 1.92/0.61  % (11923)Memory used [KB]: 5756
% 1.92/0.61  % (11923)Time elapsed: 0.190 s
% 1.92/0.61  % (11923)Instructions burned: 44 (million)
% 1.92/0.61  % (11923)------------------------------
% 1.92/0.61  % (11923)------------------------------
% 1.92/0.61  % (11922)Instruction limit reached!
% 1.92/0.61  % (11922)------------------------------
% 1.92/0.61  % (11922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61  % (11922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61  % (11922)Termination reason: Unknown
% 1.92/0.61  % (11922)Termination phase: Saturation
% 1.92/0.61  
% 1.92/0.61  % (11922)Memory used [KB]: 5884
% 1.92/0.61  % (11922)Time elapsed: 0.211 s
% 1.92/0.61  % (11922)Instructions burned: 43 (million)
% 1.92/0.61  % (11922)------------------------------
% 1.92/0.61  % (11922)------------------------------
% 1.92/0.62  % (11926)Instruction limit reached!
% 1.92/0.62  % (11926)------------------------------
% 1.92/0.62  % (11926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62  % (11926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62  % (11926)Termination reason: Unknown
% 1.92/0.62  % (11926)Termination phase: Saturation
% 1.92/0.62  
% 1.92/0.62  % (11926)Memory used [KB]: 6140
% 1.92/0.62  % (11926)Time elapsed: 0.216 s
% 1.92/0.62  % (11926)Instructions burned: 41 (million)
% 1.92/0.62  % (11926)------------------------------
% 1.92/0.62  % (11926)------------------------------
% 1.92/0.62  % (11928)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.92/0.62  % (11929)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.92/0.62  % (11911)Instruction limit reached!
% 1.92/0.62  % (11911)------------------------------
% 1.92/0.62  % (11911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62  % (11911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62  % (11911)Termination reason: Unknown
% 1.92/0.62  % (11911)Termination phase: Saturation
% 1.92/0.62  
% 1.92/0.62  % (11911)Memory used [KB]: 6524
% 1.92/0.62  % (11911)Time elapsed: 0.175 s
% 1.92/0.62  % (11911)Instructions burned: 50 (million)
% 1.92/0.62  % (11911)------------------------------
% 1.92/0.62  % (11911)------------------------------
% 1.92/0.62  % (11929)Refutation not found, incomplete strategy% (11929)------------------------------
% 1.92/0.62  % (11929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62  % (11929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62  % (11929)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.62  
% 1.92/0.62  % (11929)Memory used [KB]: 5373
% 1.92/0.62  % (11929)Time elapsed: 0.007 s
% 1.92/0.62  % (11929)Instructions burned: 2 (million)
% 1.92/0.62  % (11929)------------------------------
% 1.92/0.62  % (11929)------------------------------
% 2.17/0.63  % (11914)Instruction limit reached!
% 2.17/0.63  % (11914)------------------------------
% 2.17/0.63  % (11914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (11914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (11914)Termination reason: Unknown
% 2.17/0.63  % (11914)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (11914)Memory used [KB]: 6140
% 2.17/0.63  % (11914)Time elapsed: 0.230 s
% 2.17/0.63  % (11914)Instructions burned: 49 (million)
% 2.17/0.63  % (11914)------------------------------
% 2.17/0.63  % (11914)------------------------------
% 2.17/0.63  % (11921)Instruction limit reached!
% 2.17/0.63  % (11921)------------------------------
% 2.17/0.63  % (11921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (11921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (11921)Termination reason: Unknown
% 2.17/0.63  % (11921)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (11921)Memory used [KB]: 1535
% 2.17/0.63  % (11921)Time elapsed: 0.192 s
% 2.17/0.63  % (11921)Instructions burned: 48 (million)
% 2.17/0.63  % (11921)------------------------------
% 2.17/0.63  % (11921)------------------------------
% 2.17/0.65  % (11920)Instruction limit reached!
% 2.17/0.65  % (11920)------------------------------
% 2.17/0.65  % (11920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (11920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (11920)Termination reason: Unknown
% 2.17/0.65  % (11920)Termination phase: Saturation
% 2.17/0.65  
% 2.17/0.65  % (11920)Memory used [KB]: 6012
% 2.17/0.65  % (11920)Time elapsed: 0.209 s
% 2.17/0.65  % (11920)Instructions burned: 51 (million)
% 2.17/0.65  % (11920)------------------------------
% 2.17/0.65  % (11920)------------------------------
% 2.17/0.66  % (11927)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.17/0.66  % (11931)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.17/0.66  % (11927)Refutation not found, incomplete strategy% (11927)------------------------------
% 2.17/0.66  % (11927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66  % (11927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66  % (11927)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.66  
% 2.17/0.66  % (11927)Memory used [KB]: 5373
% 2.17/0.66  % (11927)Time elapsed: 0.128 s
% 2.17/0.66  % (11927)Instructions burned: 1 (million)
% 2.17/0.66  % (11927)------------------------------
% 2.17/0.66  % (11927)------------------------------
% 2.17/0.67  % (11928)First to succeed.
% 2.17/0.67  % (11932)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.17/0.67  % (11933)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.17/0.67  % (11928)Refutation found. Thanks to Tanya!
% 2.17/0.67  % SZS status Theorem for theBenchmark
% 2.17/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.68  % (11928)------------------------------
% 2.17/0.68  % (11928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68  % (11928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68  % (11928)Termination reason: Refutation
% 2.17/0.68  
% 2.17/0.68  % (11928)Memory used [KB]: 6012
% 2.17/0.68  % (11928)Time elapsed: 0.053 s
% 2.17/0.68  % (11928)Instructions burned: 39 (million)
% 2.17/0.68  % (11928)------------------------------
% 2.17/0.68  % (11928)------------------------------
% 2.17/0.68  % (11896)Success in time 0.316 s
%------------------------------------------------------------------------------