TSTP Solution File: SWW580_2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW580_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 19:19:59 EDT 2022

% Result   : Theorem 8.48s 1.49s
% Output   : Refutation 8.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  130
% Syntax   : Number of formulae    :  411 (  30 unt;  26 typ;   0 def)
%            Number of atoms       :  995 ( 132 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  974 ( 364   ~; 451   |;  33   &)
%                                         (  98 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number arithmetic     : 2431 ( 339 atm;1180 fun; 756 num; 156 var)
%            Number of types       :    6 (   4 usr;   1 ari)
%            Number of type conns  :   17 (   9   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   98 (  94 usr;  93 prp; 0-2 aty)
%            Number of functors    :   28 (  20 usr;  17 con; 0-4 aty)
%            Number of variables   :  156 ( 149   !;   7   ?; 156   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    uni: $tType ).

tff(type_def_6,type,
    ty: $tType ).

tff(type_def_7,type,
    bool: $tType ).

tff(type_def_8,type,
    tuple0: $tType ).

tff(func_def_0,type,
    witness: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool1: ty ).

tff(func_def_4,type,
    true: bool ).

tff(func_def_5,type,
    false: bool ).

tff(func_def_6,type,
    match_bool: ( ty * bool * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple01: ty ).

tff(func_def_8,type,
    tuple02: tuple0 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    ref: ty > ty ).

tff(func_def_13,type,
    mk_ref: ( ty * uni ) > uni ).

tff(func_def_14,type,
    contents: ( ty * uni ) > uni ).

tff(func_def_15,type,
    x2: $int ).

tff(func_def_16,type,
    y2: $int ).

tff(func_def_17,type,
    abs: $int > $int ).

tff(func_def_23,type,
    sK0: $int ).

tff(func_def_24,type,
    sK1: $int ).

tff(func_def_25,type,
    sK2: $int ).

tff(func_def_26,type,
    sK3: ( $int * $int ) > $int ).

tff(pred_def_1,type,
    sort: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    best: ( $int * $int ) > $o ).

tff(f1230,plain,
    $false,
    inference(avatar_smt_refutation,[],[f107,f112,f117,f122,f127,f132,f137,f142,f147,f152,f169,f174,f179,f184,f227,f236,f245,f246,f247,f256,f257,f258,f272,f277,f282,f289,f296,f300,f310,f311,f314,f323,f336,f346,f388,f413,f418,f432,f439,f459,f464,f473,f487,f488,f514,f519,f533,f538,f571,f623,f632,f641,f650,f659,f664,f669,f675,f682,f687,f784,f862,f877,f882,f903,f912,f917,f922,f923,f948,f952,f957,f961,f1036,f1083,f1098,f1103,f1168,f1173,f1186,f1214,f1220,f1229]) ).

tff(f1229,plain,
    ( spl4_91
    | spl4_92
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f1205,f535,f1226,f1222]) ).

tff(f1222,plain,
    ( spl4_91
  <=> ( $product(2,$product(sK0,y2)) = abs($product(2,$product(sK0,y2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

tff(f1226,plain,
    ( spl4_92
  <=> $less(x2,abs($sum($product($product(2,x2),sK2),abs($product(2,$product(sK0,y2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).

tff(f535,plain,
    ( spl4_48
  <=> $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

tff(f1205,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),abs($product(2,$product(sK0,y2))))))
    | ( $product(2,$product(sK0,y2)) = abs($product(2,$product(sK0,y2))) )
    | ~ spl4_48 ),
    inference(superposition,[],[f537,f187]) ).

tff(f187,plain,
    ! [X0: $int] :
      ( ( $uminus(X0) = abs(X0) )
      | ( abs(X0) = X0 ) ),
    inference(resolution,[],[f99,f98]) ).

tff(f98,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | ( abs(X0) = X0 ) ),
    inference(cnf_transformation,[],[f67]) ).

tff(f67,plain,
    ! [X0: $int] :
      ( ( $less(X0,0)
        | ( abs(X0) = X0 ) )
      & ( ( $uminus(X0) = abs(X0) )
        | ~ $less(X0,0) ) ),
    inference(ennf_transformation,[],[f50]) ).

tff(f50,plain,
    ! [X0: $int] :
      ( ( $less(X0,0)
       => ( $uminus(X0) = abs(X0) ) )
      & ( ~ $less(X0,0)
       => ( abs(X0) = X0 ) ) ),
    inference(rectify,[],[f23]) ).

tff(f23,plain,
    ! [X1: $int] :
      ( ( $less(X1,0)
       => ( abs(X1) = $uminus(X1) ) )
      & ( ~ $less(X1,0)
       => ( abs(X1) = X1 ) ) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,axiom,
    ! [X1: $int] :
      ( ( ~ $lesseq(0,X1)
       => ( abs(X1) = $uminus(X1) ) )
      & ( $lesseq(0,X1)
       => ( abs(X1) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def) ).

tff(f99,plain,
    ! [X0: $int] :
      ( ~ $less(X0,0)
      | ( $uminus(X0) = abs(X0) ) ),
    inference(cnf_transformation,[],[f67]) ).

tff(f537,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2))))))
    | ~ spl4_48 ),
    inference(avatar_component_clause,[],[f535]) ).

tff(f1220,plain,
    ( spl4_90
    | ~ spl4_15
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f1201,f535,f220,f1217]) ).

tff(f1217,plain,
    ( spl4_90
  <=> $less(0,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

tff(f220,plain,
    ( spl4_15
  <=> $less(0,x2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

tff(f1201,plain,
    ( $less(0,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2))))))
    | ~ spl4_15
    | ~ spl4_48 ),
    inference(resolution,[],[f537,f357]) ).

tff(f357,plain,
    ( ! [X0: $int] :
        ( ~ $less(x2,X0)
        | $less(0,X0) )
    | ~ spl4_15 ),
    inference(resolution,[],[f222,f35]) ).

tff(f35,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X2)
      | $less(X0,X2) ),
    introduced(theory_axiom_148,[]) ).

tff(f222,plain,
    ( $less(0,x2)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f220]) ).

tff(f1214,plain,
    ( spl4_88
    | spl4_89
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f1199,f535,f1211,f1207]) ).

tff(f1207,plain,
    ( spl4_88
  <=> $less(x2,$sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

tff(f1211,plain,
    ( spl4_89
  <=> $less($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2)))),$uminus(x2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

tff(f1199,plain,
    ( $less($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2)))),$uminus(x2))
    | $less(x2,$sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2)))))
    | ~ spl4_48 ),
    inference(resolution,[],[f537,f89]) ).

tff(f89,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,abs(X0))
      | $less(X0,$uminus(X1))
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,plain,
    ! [X1: $int,X0: $int] :
      ( ( ~ $less(X1,X0)
        & ~ $less(X0,$uminus(X1)) )
    <=> ~ $less(X1,abs(X0)) ),
    inference(rectify,[],[f22]) ).

tff(f22,plain,
    ! [X1: $int,X7: $int] :
      ( ~ $less(X7,abs(X1))
    <=> ( ~ $less(X7,X1)
        & ~ $less(X1,$uminus(X7)) ) ),
    inference(theory_normalization,[],[f15]) ).

tff(f15,axiom,
    ! [X1: $int,X7: $int] :
      ( $lesseq(abs(X1),X7)
    <=> ( $lesseq(X1,X7)
        & $lesseq($uminus(X7),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le) ).

tff(f1186,plain,
    ( spl4_87
    | ~ spl4_71
    | ~ spl4_81 ),
    inference(avatar_split_clause,[],[f1178,f1081,f900,f1183]) ).

tff(f1183,plain,
    ( spl4_87
  <=> $less(sK1,$sum($product(x2,sK2),0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

tff(f900,plain,
    ( spl4_71
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),0)),$sum($product(x2,sK2),0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

tff(f1081,plain,
    ( spl4_81
  <=> ! [X1: $int] : $less(sK1,abs(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

tff(f1178,plain,
    ( $less(sK1,$sum($product(x2,sK2),0))
    | ~ spl4_71
    | ~ spl4_81 ),
    inference(resolution,[],[f902,f1108]) ).

tff(f1108,plain,
    ( ! [X3: $int,X4: $int] :
        ( ~ $less(abs(X3),X4)
        | $less(sK1,X4) )
    | ~ spl4_81 ),
    inference(resolution,[],[f1082,f35]) ).

tff(f1082,plain,
    ( ! [X1: $int] : $less(sK1,abs(X1))
    | ~ spl4_81 ),
    inference(avatar_component_clause,[],[f1081]) ).

tff(f902,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),0)),$sum($product(x2,sK2),0))
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f900]) ).

tff(f1173,plain,
    ( spl4_19
    | spl4_86
    | ~ spl4_67
    | ~ spl4_85 ),
    inference(avatar_split_clause,[],[f1169,f1166,f860,f1171,f238]) ).

tff(f238,plain,
    ( spl4_19
  <=> ( $product(2,y2) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

tff(f1171,plain,
    ( spl4_86
  <=> ! [X0: $int] :
        ( $less(X0,2)
        | $less(sK1,$product(X0,y2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

tff(f860,plain,
    ( spl4_67
  <=> ! [X0: $int] :
        ( ( $product(2,y2) = $product(X0,y2) )
        | $less(sK1,$product(X0,y2))
        | $less(X0,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

tff(f1166,plain,
    ( spl4_85
  <=> ! [X0: $int] :
        ( ( $product(X0,y2) = sK1 )
        | $less(sK1,$product(X0,y2))
        | $less(X0,2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

tff(f1169,plain,
    ( ! [X0: $int] :
        ( $less(X0,2)
        | ( $product(2,y2) = sK1 )
        | $less(sK1,$product(X0,y2)) )
    | ~ spl4_67
    | ~ spl4_85 ),
    inference(backward_subsumption_demodulation,[],[f861,f1167]) ).

tff(f1167,plain,
    ( ! [X0: $int] :
        ( ( $product(X0,y2) = sK1 )
        | $less(X0,2)
        | $less(sK1,$product(X0,y2)) )
    | ~ spl4_85 ),
    inference(avatar_component_clause,[],[f1166]) ).

tff(f861,plain,
    ( ! [X0: $int] :
        ( ( $product(2,y2) = $product(X0,y2) )
        | $less(sK1,$product(X0,y2))
        | $less(X0,2) )
    | ~ spl4_67 ),
    inference(avatar_component_clause,[],[f860]) ).

tff(f1168,plain,
    ( spl4_5
    | spl4_85
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f1150,f242,f1166,f124]) ).

tff(f124,plain,
    ( spl4_5
  <=> $less(y2,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f242,plain,
    ( spl4_20
  <=> $less(sK1,$product(2,y2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

tff(f1150,plain,
    ( ! [X0: $int] :
        ( ( $product(X0,y2) = sK1 )
        | $less(y2,0)
        | $less(X0,2)
        | $less(sK1,$product(X0,y2)) )
    | ~ spl4_20 ),
    inference(resolution,[],[f748,f93]) ).

tff(f93,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less($product(X1,X2),$product(X0,X2))
      | $less(X2,0)
      | $less(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X2,0)
      | $less(X1,X0)
      | ~ $less($product(X1,X2),$product(X0,X2)) ),
    inference(flattening,[],[f63]) ).

tff(f63,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less($product(X1,X2),$product(X0,X2))
      | $less(X2,0)
      | $less(X1,X0) ),
    inference(ennf_transformation,[],[f61]) ).

tff(f61,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
     => ( ~ $less(X2,0)
       => ~ $less($product(X1,X2),$product(X0,X2)) ) ),
    inference(rectify,[],[f27]) ).

tff(f27,plain,
    ! [X1: $int,X7: $int,X4: $int] :
      ( ~ $less(X7,X1)
     => ( ~ $less(X4,0)
       => ~ $less($product(X7,X4),$product(X1,X4)) ) ),
    inference(theory_normalization,[],[f8]) ).

tff(f8,axiom,
    ! [X1: $int,X7: $int,X4: $int] :
      ( $lesseq(X1,X7)
     => ( $lesseq(0,X4)
       => $lesseq($product(X1,X4),$product(X7,X4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatOrderMult) ).

tff(f748,plain,
    ( ! [X22: $int] :
        ( $less(X22,$product(2,y2))
        | ( sK1 = X22 )
        | $less(sK1,X22) )
    | ~ spl4_20 ),
    inference(resolution,[],[f206,f244]) ).

tff(f244,plain,
    ( $less(sK1,$product(2,y2))
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f206,plain,
    ! [X2: $int,X3: $int,X1: $int] :
      ( ~ $less(X2,X3)
      | $less(X2,X1)
      | $less(X1,X3)
      | ( X1 = X2 ) ),
    inference(resolution,[],[f36,f35]) ).

tff(f36,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f1103,plain,
    ( spl4_84
    | ~ spl4_15
    | ~ spl4_74 ),
    inference(avatar_split_clause,[],[f1086,f919,f220,f1100]) ).

tff(f1100,plain,
    ( spl4_84
  <=> $less(0,abs($sum($product($product(2,x2),sK2),0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

tff(f919,plain,
    ( spl4_74
  <=> $less(x2,abs($sum($product($product(2,x2),sK2),0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

tff(f1086,plain,
    ( $less(0,abs($sum($product($product(2,x2),sK2),0)))
    | ~ spl4_15
    | ~ spl4_74 ),
    inference(resolution,[],[f921,f357]) ).

tff(f921,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),0)))
    | ~ spl4_74 ),
    inference(avatar_component_clause,[],[f919]) ).

tff(f1098,plain,
    ( spl4_82
    | spl4_83
    | ~ spl4_74 ),
    inference(avatar_split_clause,[],[f1084,f919,f1095,f1091]) ).

tff(f1091,plain,
    ( spl4_82
  <=> $less($sum($product($product(2,x2),sK2),0),$uminus(x2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

tff(f1095,plain,
    ( spl4_83
  <=> $less(x2,$sum($product($product(2,x2),sK2),0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

tff(f1084,plain,
    ( $less(x2,$sum($product($product(2,x2),sK2),0))
    | $less($sum($product($product(2,x2),sK2),0),$uminus(x2))
    | ~ spl4_74 ),
    inference(resolution,[],[f921,f89]) ).

tff(f1083,plain,
    ( spl4_81
    | spl4_26
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f1079,f293,f286,f1081]) ).

tff(f286,plain,
    ( spl4_26
  <=> ( 0 = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

tff(f293,plain,
    ( spl4_27
  <=> $less(sK1,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

tff(f1079,plain,
    ( ! [X1: $int] :
        ( ( 0 = sK1 )
        | $less(sK1,abs(X1)) )
    | ~ spl4_27 ),
    inference(forward_subsumption_demodulation,[],[f1062,f548]) ).

tff(f548,plain,
    ( ! [X1: $int] :
        ( $less(sK1,abs(X1))
        | ( 0 = abs(X1) ) )
    | ~ spl4_27 ),
    inference(resolution,[],[f198,f381]) ).

tff(f381,plain,
    ( ! [X0: $int] :
        ( ~ $less(0,X0)
        | $less(sK1,X0) )
    | ~ spl4_27 ),
    inference(resolution,[],[f295,f35]) ).

tff(f295,plain,
    ( $less(sK1,0)
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f293]) ).

tff(f198,plain,
    ! [X7: $int] :
      ( $less(0,abs(X7))
      | ( 0 = abs(X7) ) ),
    inference(resolution,[],[f36,f100]) ).

tff(f100,plain,
    ! [X0: $int] : ~ $less(abs(X0),0),
    inference(cnf_transformation,[],[f57]) ).

tff(f57,plain,
    ! [X0: $int] : ~ $less(abs(X0),0),
    inference(rectify,[],[f25]) ).

tff(f25,plain,
    ! [X1: $int] : ~ $less(abs(X1),0),
    inference(theory_normalization,[],[f16]) ).

tff(f16,axiom,
    ! [X1: $int] : $lesseq(0,abs(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_pos) ).

tff(f1062,plain,
    ( ! [X1: $int] :
        ( ( abs(X1) = sK1 )
        | $less(sK1,abs(X1)) )
    | ~ spl4_27 ),
    inference(resolution,[],[f747,f100]) ).

tff(f747,plain,
    ( ! [X21: $int] :
        ( $less(sK1,X21)
        | $less(X21,0)
        | ( sK1 = X21 ) )
    | ~ spl4_27 ),
    inference(resolution,[],[f206,f295]) ).

tff(f1036,plain,
    ( spl4_79
    | spl4_80
    | ~ spl4_27
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f1028,f385,f293,f1034,f1030]) ).

tff(f1030,plain,
    ( spl4_79
  <=> ( 0 = abs(sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

tff(f1034,plain,
    ( spl4_80
  <=> ! [X3: $int] :
        ( $less(X3,$uminus(abs(sK1)))
        | $less(sK1,abs(X3))
        | $less(abs(sK1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

tff(f385,plain,
    ( spl4_32
  <=> ( $uminus(sK1) = abs(sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

tff(f1028,plain,
    ( ! [X3: $int] :
        ( $less(X3,$uminus(abs(sK1)))
        | $less(abs(sK1),X3)
        | ( 0 = abs(sK1) )
        | $less(sK1,abs(X3)) )
    | ~ spl4_27
    | ~ spl4_32 ),
    inference(forward_subsumption_demodulation,[],[f1027,f548]) ).

tff(f1027,plain,
    ( ! [X3: $int] :
        ( $less(X3,$uminus(abs(sK1)))
        | ( abs(X3) = abs(sK1) )
        | $less(abs(sK1),X3)
        | $less(sK1,abs(X3)) )
    | ~ spl4_32 ),
    inference(forward_demodulation,[],[f1021,f161]) ).

tff(f161,plain,
    ! [X0: $int] : ( abs(abs(X0)) = abs(X0) ),
    inference(resolution,[],[f98,f100]) ).

tff(f1021,plain,
    ( ! [X3: $int] :
        ( ( abs(X3) = abs(sK1) )
        | $less(abs(sK1),X3)
        | $less(X3,$uminus(abs(sK1)))
        | $less(sK1,abs(abs(X3))) )
    | ~ spl4_32 ),
    inference(resolution,[],[f441,f398]) ).

tff(f398,plain,
    ! [X2: $int,X3: $int] :
      ( $less(abs(X2),X3)
      | ( abs(X2) = X3 )
      | $less(X2,$uminus(X3))
      | $less(X3,X2) ),
    inference(resolution,[],[f89,f36]) ).

tff(f441,plain,
    ( ! [X3: $int] :
        ( ~ $less(X3,abs(sK1))
        | $less(sK1,abs(X3)) )
    | ~ spl4_32 ),
    inference(superposition,[],[f90,f387]) ).

tff(f387,plain,
    ( ( $uminus(sK1) = abs(sK1) )
    | ~ spl4_32 ),
    inference(avatar_component_clause,[],[f385]) ).

tff(f90,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,$uminus(X1))
      | $less(X1,abs(X0)) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f961,plain,
    ( spl4_5
    | spl4_78
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f936,f874,f959,f124]) ).

tff(f959,plain,
    ( spl4_78
  <=> ! [X5: $int] :
        ( $less(0,X5)
        | ~ $less(0,$product(X5,y2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

tff(f874,plain,
    ( spl4_69
  <=> ( 0 = $product(0,y2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

tff(f936,plain,
    ( ! [X5: $int] :
        ( $less(0,X5)
        | ~ $less(0,$product(X5,y2))
        | $less(y2,0) )
    | ~ spl4_69 ),
    inference(superposition,[],[f93,f876]) ).

tff(f876,plain,
    ( ( 0 = $product(0,y2) )
    | ~ spl4_69 ),
    inference(avatar_component_clause,[],[f874]) ).

tff(f957,plain,
    ( spl4_5
    | spl4_77
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f938,f874,f955,f124]) ).

tff(f955,plain,
    ( spl4_77
  <=> ! [X7: $int] :
        ( $less(0,$product(X7,y2))
        | ( 0 = $product(X7,y2) )
        | $less(X7,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

tff(f938,plain,
    ( ! [X7: $int] :
        ( $less(0,$product(X7,y2))
        | $less(X7,0)
        | ( 0 = $product(X7,y2) )
        | $less(y2,0) )
    | ~ spl4_69 ),
    inference(superposition,[],[f402,f876]) ).

tff(f402,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($product(X2,X0),$product(X1,X0))
      | $less(X0,0)
      | ( $product(X1,X0) = $product(X2,X0) )
      | $less(X1,X2) ),
    inference(resolution,[],[f93,f36]) ).

tff(f952,plain,
    ( spl4_5
    | spl4_76
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f937,f874,f950,f124]) ).

tff(f950,plain,
    ( spl4_76
  <=> ! [X6: $int] :
        ( ( 0 = $product(X6,y2) )
        | $less($product(X6,y2),0)
        | $less(0,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

tff(f937,plain,
    ( ! [X6: $int] :
        ( ( 0 = $product(X6,y2) )
        | $less(0,X6)
        | $less(y2,0)
        | $less($product(X6,y2),0) )
    | ~ spl4_69 ),
    inference(superposition,[],[f402,f876]) ).

tff(f948,plain,
    ( spl4_75
    | spl4_5
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f935,f874,f124,f946]) ).

tff(f946,plain,
    ( spl4_75
  <=> ! [X4: $int] :
        ( ~ $less($product(X4,y2),0)
        | $less(X4,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

tff(f935,plain,
    ( ! [X4: $int] :
        ( $less(y2,0)
        | ~ $less($product(X4,y2),0)
        | $less(X4,0) )
    | ~ spl4_69 ),
    inference(superposition,[],[f93,f876]) ).

tff(f923,plain,
    ( spl4_72
    | ~ spl4_63
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f889,f874,f672,f909]) ).

tff(f909,plain,
    ( spl4_72
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),0)),abs($sum($product(x2,sK2),0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

tff(f672,plain,
    ( spl4_63
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),$product(0,y2))),abs($sum($product(x2,sK2),$product(0,y2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

tff(f889,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),0)),abs($sum($product(x2,sK2),0)))
    | ~ spl4_63
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f674,f876]) ).

tff(f674,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$product(0,y2))),abs($sum($product(x2,sK2),$product(0,y2))))
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f672]) ).

tff(f922,plain,
    ( spl4_74
    | ~ spl4_45
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f894,f874,f516,f919]) ).

tff(f516,plain,
    ( spl4_45
  <=> $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

tff(f894,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),0)))
    | ~ spl4_45
    | ~ spl4_69 ),
    inference(evaluation,[],[f887]) ).

tff(f887,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus(0))))
    | ~ spl4_45
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f518,f876]) ).

tff(f518,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(0,y2)))))
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f516]) ).

tff(f917,plain,
    ( ~ spl4_73
    | spl4_43
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f895,f874,f507,f914]) ).

tff(f914,plain,
    ( spl4_73
  <=> $less($sum($product(x2,sK2),0),$uminus(abs($sum($product(x2,sK3(0,sK2)),0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

tff(f507,plain,
    ( spl4_43
  <=> $less($sum($product(x2,sK2),$uminus($product(0,y2))),$uminus(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

tff(f895,plain,
    ( ~ $less($sum($product(x2,sK2),0),$uminus(abs($sum($product(x2,sK3(0,sK2)),0))))
    | spl4_43
    | ~ spl4_69 ),
    inference(evaluation,[],[f885]) ).

tff(f885,plain,
    ( ~ $less($sum($product(x2,sK2),$uminus(0)),$uminus(abs($sum($product(x2,sK3(0,sK2)),$uminus(0)))))
    | spl4_43
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f508,f876]) ).

tff(f508,plain,
    ( ~ $less($sum($product(x2,sK2),$uminus($product(0,y2))),$uminus(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2))))))
    | spl4_43 ),
    inference(avatar_component_clause,[],[f507]) ).

tff(f912,plain,
    ( spl4_72
    | ~ spl4_33
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f896,f874,f410,f909]) ).

tff(f410,plain,
    ( spl4_33
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),abs($sum($product(x2,sK2),$uminus($product(0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

tff(f896,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),0)),abs($sum($product(x2,sK2),0)))
    | ~ spl4_33
    | ~ spl4_69 ),
    inference(evaluation,[],[f883]) ).

tff(f883,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus(0))),abs($sum($product(x2,sK2),$uminus(0))))
    | ~ spl4_33
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f412,f876]) ).

tff(f412,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),abs($sum($product(x2,sK2),$uminus($product(0,y2)))))
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f410]) ).

tff(f903,plain,
    ( spl4_71
    | ~ spl4_44
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f898,f874,f511,f900]) ).

tff(f511,plain,
    ( spl4_44
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),$sum($product(x2,sK2),$uminus($product(0,y2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

tff(f898,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),0)),$sum($product(x2,sK2),0))
    | ~ spl4_44
    | ~ spl4_69 ),
    inference(evaluation,[],[f886]) ).

tff(f886,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus(0))),$sum($product(x2,sK2),$uminus(0)))
    | ~ spl4_44
    | ~ spl4_69 ),
    inference(backward_demodulation,[],[f513,f876]) ).

tff(f513,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),$sum($product(x2,sK2),$uminus($product(0,y2))))
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f511]) ).

tff(f882,plain,
    ( ~ spl4_70
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f868,f620,f879]) ).

tff(f879,plain,
    ( spl4_70
  <=> $less($product(0,y2),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

tff(f620,plain,
    ( spl4_52
  <=> ( abs($product(0,y2)) = $product(0,y2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).

tff(f868,plain,
    ( ~ $less($product(0,y2),0)
    | ~ spl4_52 ),
    inference(superposition,[],[f100,f622]) ).

tff(f622,plain,
    ( ( abs($product(0,y2)) = $product(0,y2) )
    | ~ spl4_52 ),
    inference(avatar_component_clause,[],[f620]) ).

tff(f877,plain,
    ( spl4_68
    | spl4_69
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f865,f620,f874,f870]) ).

tff(f870,plain,
    ( spl4_68
  <=> $less(0,$product(0,y2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).

tff(f865,plain,
    ( ( 0 = $product(0,y2) )
    | $less(0,$product(0,y2))
    | ~ spl4_52 ),
    inference(superposition,[],[f198,f622]) ).

tff(f862,plain,
    ( spl4_67
    | spl4_5
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f852,f242,f124,f860]) ).

tff(f852,plain,
    ( ! [X0: $int] :
        ( $less(y2,0)
        | ( $product(2,y2) = $product(X0,y2) )
        | $less(X0,2)
        | $less(sK1,$product(X0,y2)) )
    | ~ spl4_20 ),
    inference(resolution,[],[f433,f402]) ).

tff(f433,plain,
    ( ! [X0: $int] :
        ( ~ $less($product(2,y2),X0)
        | $less(sK1,X0) )
    | ~ spl4_20 ),
    inference(resolution,[],[f244,f35]) ).

tff(f784,plain,
    ( spl4_58
    | spl4_66
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f779,f104,f782,f647]) ).

tff(f647,plain,
    ( spl4_58
  <=> ( abs($product($sum($product(2,sK2),1),x2)) = $product($sum($product(2,sK2),1),x2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

tff(f782,plain,
    ( spl4_66
  <=> ! [X0: $int] :
        ( ~ $less(abs(sK1),abs($sum($product($product(2,$sum(sK0,1)),X0),abs($product($sum($product(2,sK2),1),x2)))))
        | $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),X0),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

tff(f104,plain,
    ( spl4_1
  <=> ( $sum($product($product(2,$sum(sK0,1)),y2),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f779,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs(sK1),abs($sum($product($product(2,$sum(sK0,1)),X0),abs($product($sum($product(2,sK2),1),x2)))))
        | $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),X0),$uminus($product(2,$product($sum($product(2,sK2),1),x2))))))
        | ( abs($product($sum($product(2,sK2),1),x2)) = $product($sum($product(2,sK2),1),x2) ) )
    | ~ spl4_1 ),
    inference(superposition,[],[f423,f187]) ).

tff(f423,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs(sK1),abs($sum($product($product(2,$sum(sK0,1)),X0),$uminus($product($sum($product(2,sK2),1),x2)))))
        | $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),X0),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))) )
    | ~ spl4_1 ),
    inference(evaluation,[],[f421]) ).

tff(f421,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs(sK1),abs($sum($product($product(2,$sum(sK0,1)),X0),$uminus($product($sum($product(2,sK2),1),x2)))))
        | $less($product(2,$sum(sK0,1)),abs($sum($product($product(2,$product(2,$sum(sK0,1))),X0),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))) )
    | ~ spl4_1 ),
    inference(superposition,[],[f76,f106]) ).

tff(f106,plain,
    ( ( $sum($product($product(2,$sum(sK0,1)),y2),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f104]) ).

tff(f76,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ~ $less(abs($sum($product(X2,X3),$uminus(X0))),abs($sum($product(X2,X1),$uminus(X0))))
      | $less(X2,abs($sum($product($product(2,X2),X1),$uminus($product(2,X0))))) ),
    inference(cnf_transformation,[],[f69]) ).

tff(f69,plain,
    ! [X0: $int,X1: $int,X2: $int] :
      ( $less(X2,abs($sum($product($product(2,X2),X1),$uminus($product(2,X0)))))
      | ! [X3: $int] : ~ $less(abs($sum($product(X2,X3),$uminus(X0))),abs($sum($product(X2,X1),$uminus(X0)))) ),
    inference(ennf_transformation,[],[f58]) ).

tff(f58,plain,
    ! [X1: $int,X2: $int,X0: $int] :
      ( ~ $less(X2,abs($sum($product($product(2,X2),X1),$uminus($product(2,X0)))))
     => ! [X3: $int] : ~ $less(abs($sum($product(X2,X3),$uminus(X0))),abs($sum($product(X2,X1),$uminus(X0)))) ),
    inference(rectify,[],[f26]) ).

tff(f26,plain,
    ! [X10: $int,X9: $int,X0: $int] :
      ( ~ $less(X0,abs($sum($product($product(2,X0),X9),$uminus($product(2,X10)))))
     => ! [X11: $int] : ~ $less(abs($sum($product(X0,X11),$uminus(X10))),abs($sum($product(X0,X9),$uminus(X10)))) ),
    inference(theory_normalization,[],[f18]) ).

tff(f18,axiom,
    ! [X10: $int,X9: $int,X0: $int] :
      ( $lesseq(abs($difference($product($product(2,X0),X9),$product(2,X10))),X0)
     => ! [X11: $int] : $lesseq(abs($difference($product(X0,X9),X10)),abs($difference($product(X0,X11),X10))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closest) ).

tff(f687,plain,
    ( spl4_65
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f676,f656,f652,f684]) ).

tff(f684,plain,
    ( spl4_65
  <=> ( 0 = $sum(0,$product($sum($product(2,sK2),1),0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

tff(f652,plain,
    ( spl4_59
  <=> ( 0 = $sum(0,abs($product($sum($product(2,sK2),1),0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

tff(f656,plain,
    ( spl4_60
  <=> ( abs($product($sum($product(2,sK2),1),0)) = $product($sum($product(2,sK2),1),0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

tff(f676,plain,
    ( ( 0 = $sum(0,$product($sum($product(2,sK2),1),0)) )
    | ~ spl4_59
    | ~ spl4_60 ),
    inference(backward_demodulation,[],[f654,f658]) ).

tff(f658,plain,
    ( ( abs($product($sum($product(2,sK2),1),0)) = $product($sum($product(2,sK2),1),0) )
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f656]) ).

tff(f654,plain,
    ( ( 0 = $sum(0,abs($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f652]) ).

tff(f682,plain,
    ( ~ spl4_64
    | ~ spl4_60
    | spl4_61 ),
    inference(avatar_split_clause,[],[f677,f661,f656,f679]) ).

tff(f679,plain,
    ( spl4_64
  <=> ( $sum($product(0,$sum(sK0,1)),$product($sum($product(2,sK2),1),0)) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

tff(f661,plain,
    ( spl4_61
  <=> ( sK1 = $sum($product(0,$sum(sK0,1)),abs($product($sum($product(2,sK2),1),0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

tff(f677,plain,
    ( ( $sum($product(0,$sum(sK0,1)),$product($sum($product(2,sK2),1),0)) != sK1 )
    | ~ spl4_60
    | spl4_61 ),
    inference(backward_demodulation,[],[f663,f658]) ).

tff(f663,plain,
    ( ( sK1 != $sum($product(0,$sum(sK0,1)),abs($product($sum($product(2,sK2),1),0))) )
    | spl4_61 ),
    inference(avatar_component_clause,[],[f661]) ).

tff(f675,plain,
    ( spl4_63
    | ~ spl4_51
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f670,f620,f616,f672]) ).

tff(f616,plain,
    ( spl4_51
  <=> $less(abs($sum($product(x2,sK3(0,sK2)),abs($product(0,y2)))),abs($sum($product(x2,sK2),abs($product(0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

tff(f670,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$product(0,y2))),abs($sum($product(x2,sK2),$product(0,y2))))
    | ~ spl4_51
    | ~ spl4_52 ),
    inference(backward_demodulation,[],[f618,f622]) ).

tff(f618,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),abs($product(0,y2)))),abs($sum($product(x2,sK2),abs($product(0,y2)))))
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f616]) ).

tff(f669,plain,
    ( ~ spl4_62
    | spl4_58
    | spl4_24 ),
    inference(avatar_split_clause,[],[f611,f274,f647,f666]) ).

tff(f666,plain,
    ( spl4_62
  <=> ( $sum($product(0,$sum(sK0,1)),abs($product($sum($product(2,sK2),1),x2))) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

tff(f274,plain,
    ( spl4_24
  <=> ( $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

tff(f611,plain,
    ( ( abs($product($sum($product(2,sK2),1),x2)) = $product($sum($product(2,sK2),1),x2) )
    | ( $sum($product(0,$sum(sK0,1)),abs($product($sum($product(2,sK2),1),x2))) != sK1 )
    | spl4_24 ),
    inference(superposition,[],[f275,f187]) ).

tff(f275,plain,
    ( ( $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),x2))) != sK1 )
    | spl4_24 ),
    inference(avatar_component_clause,[],[f274]) ).

tff(f664,plain,
    ( ~ spl4_61
    | spl4_60
    | spl4_28 ),
    inference(avatar_split_clause,[],[f608,f307,f656,f661]) ).

tff(f307,plain,
    ( spl4_28
  <=> ( sK1 = $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

tff(f608,plain,
    ( ( abs($product($sum($product(2,sK2),1),0)) = $product($sum($product(2,sK2),1),0) )
    | ( sK1 != $sum($product(0,$sum(sK0,1)),abs($product($sum($product(2,sK2),1),0))) )
    | spl4_28 ),
    inference(superposition,[],[f308,f187]) ).

tff(f308,plain,
    ( ( sK1 != $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),0))) )
    | spl4_28 ),
    inference(avatar_component_clause,[],[f307]) ).

tff(f659,plain,
    ( spl4_59
    | spl4_60
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f609,f333,f656,f652]) ).

tff(f333,plain,
    ( spl4_30
  <=> ( 0 = $sum(0,$uminus($product($sum($product(2,sK2),1),0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

tff(f609,plain,
    ( ( abs($product($sum($product(2,sK2),1),0)) = $product($sum($product(2,sK2),1),0) )
    | ( 0 = $sum(0,abs($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_30 ),
    inference(superposition,[],[f335,f187]) ).

tff(f335,plain,
    ( ( 0 = $sum(0,$uminus($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f333]) ).

tff(f650,plain,
    ( spl4_57
    | spl4_58
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f610,f104,f647,f643]) ).

tff(f643,plain,
    ( spl4_57
  <=> ( $sum($product($product(2,$sum(sK0,1)),y2),abs($product($sum($product(2,sK2),1),x2))) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).

tff(f610,plain,
    ( ( abs($product($sum($product(2,sK2),1),x2)) = $product($sum($product(2,sK2),1),x2) )
    | ( $sum($product($product(2,$sum(sK0,1)),y2),abs($product($sum($product(2,sK2),1),x2))) = sK1 )
    | ~ spl4_1 ),
    inference(superposition,[],[f106,f187]) ).

tff(f641,plain,
    ( spl4_55
    | spl4_56
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f607,f426,f638,f634]) ).

tff(f634,plain,
    ( spl4_55
  <=> ( $product(2,$product($sum($product(2,sK2),1),x2)) = abs($product(2,$product($sum($product(2,sK2),1),x2))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).

tff(f638,plain,
    ( spl4_56
  <=> $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),y2),abs($product(2,$product($sum($product(2,sK2),1),x2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

tff(f426,plain,
    ( spl4_35
  <=> $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

tff(f607,plain,
    ( $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),y2),abs($product(2,$product($sum($product(2,sK2),1),x2))))))
    | ( $product(2,$product($sum($product(2,sK2),1),x2)) = abs($product(2,$product($sum($product(2,sK2),1),x2))) )
    | ~ spl4_35 ),
    inference(superposition,[],[f428,f187]) ).

tff(f428,plain,
    ( $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2))))))
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f426]) ).

tff(f632,plain,
    ( spl4_53
    | spl4_54
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f612,f415,f629,f625]) ).

tff(f625,plain,
    ( spl4_53
  <=> $less(abs($sum($product(x2,sK3(sK0,sK2)),abs($product(sK0,y2)))),abs($sum($product(x2,sK2),abs($product(sK0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

tff(f629,plain,
    ( spl4_54
  <=> ( $product(sK0,y2) = abs($product(sK0,y2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

tff(f415,plain,
    ( spl4_34
  <=> $less(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))),abs($sum($product(x2,sK2),$uminus($product(sK0,y2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

tff(f612,plain,
    ( ( $product(sK0,y2) = abs($product(sK0,y2)) )
    | $less(abs($sum($product(x2,sK3(sK0,sK2)),abs($product(sK0,y2)))),abs($sum($product(x2,sK2),abs($product(sK0,y2)))))
    | ~ spl4_34 ),
    inference(superposition,[],[f417,f187]) ).

tff(f417,plain,
    ( $less(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))),abs($sum($product(x2,sK2),$uminus($product(sK0,y2)))))
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f415]) ).

tff(f623,plain,
    ( spl4_51
    | spl4_52
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f606,f410,f620,f616]) ).

tff(f606,plain,
    ( ( abs($product(0,y2)) = $product(0,y2) )
    | $less(abs($sum($product(x2,sK3(0,sK2)),abs($product(0,y2)))),abs($sum($product(x2,sK2),abs($product(0,y2)))))
    | ~ spl4_33 ),
    inference(superposition,[],[f412,f187]) ).

tff(f571,plain,
    ( spl4_49
    | spl4_50
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f559,f426,f568,f564]) ).

tff(f564,plain,
    ( spl4_49
  <=> $less($sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))),$uminus($product(2,$sum(sK0,1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

tff(f568,plain,
    ( spl4_50
  <=> $less($product(2,$sum(sK0,1)),$sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

tff(f559,plain,
    ( $less($product(2,$sum(sK0,1)),$sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))
    | $less($sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))),$uminus($product(2,$sum(sK0,1))))
    | ~ spl4_35 ),
    inference(resolution,[],[f428,f89]) ).

tff(f538,plain,
    ( spl4_48
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f520,f415,f535]) ).

tff(f520,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(sK0,y2))))))
    | ~ spl4_34 ),
    inference(resolution,[],[f417,f76]) ).

tff(f533,plain,
    ( spl4_46
    | spl4_47
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f521,f415,f530,f526]) ).

tff(f526,plain,
    ( spl4_46
  <=> $less(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))),$sum($product(x2,sK2),$uminus($product(sK0,y2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

tff(f530,plain,
    ( spl4_47
  <=> $less($sum($product(x2,sK2),$uminus($product(sK0,y2))),$uminus(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

tff(f521,plain,
    ( $less($sum($product(x2,sK2),$uminus($product(sK0,y2))),$uminus(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2))))))
    | $less(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))),$sum($product(x2,sK2),$uminus($product(sK0,y2))))
    | ~ spl4_34 ),
    inference(resolution,[],[f417,f89]) ).

tff(f519,plain,
    ( spl4_45
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f504,f410,f516]) ).

tff(f504,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(0,y2)))))
    | ~ spl4_33 ),
    inference(evaluation,[],[f500]) ).

tff(f500,plain,
    ( $less(x2,abs($sum($product($product(2,x2),sK2),$uminus($product(2,$product(0,y2))))))
    | ~ spl4_33 ),
    inference(resolution,[],[f412,f76]) ).

tff(f514,plain,
    ( spl4_43
    | spl4_44
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f501,f410,f511,f507]) ).

tff(f501,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),$sum($product(x2,sK2),$uminus($product(0,y2))))
    | $less($sum($product(x2,sK2),$uminus($product(0,y2))),$uminus(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2))))))
    | ~ spl4_33 ),
    inference(resolution,[],[f412,f89]) ).

tff(f488,plain,
    ( spl4_41
    | spl4_42
    | spl4_31 ),
    inference(avatar_split_clause,[],[f478,f343,f484,f480]) ).

tff(f480,plain,
    ( spl4_41
  <=> $less(abs($sum($product(0,sK2),0)),abs($sum($product(0,sK3(0,sK2)),0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

tff(f484,plain,
    ( spl4_42
  <=> ( abs($sum($product(0,sK3(0,sK2)),0)) = abs($sum($product(0,sK2),0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

tff(f343,plain,
    ( spl4_31
  <=> $less(abs($sum($product(0,sK3(0,sK2)),0)),abs($sum($product(0,sK2),0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

tff(f478,plain,
    ( ( abs($sum($product(0,sK3(0,sK2)),0)) = abs($sum($product(0,sK2),0)) )
    | $less(abs($sum($product(0,sK2),0)),abs($sum($product(0,sK3(0,sK2)),0)))
    | spl4_31 ),
    inference(resolution,[],[f344,f36]) ).

tff(f344,plain,
    ( ~ $less(abs($sum($product(0,sK3(0,sK2)),0)),abs($sum($product(0,sK2),0)))
    | spl4_31 ),
    inference(avatar_component_clause,[],[f343]) ).

tff(f487,plain,
    ( spl4_41
    | spl4_42
    | spl4_31 ),
    inference(avatar_split_clause,[],[f477,f343,f484,f480]) ).

tff(f477,plain,
    ( ( abs($sum($product(0,sK3(0,sK2)),0)) = abs($sum($product(0,sK2),0)) )
    | $less(abs($sum($product(0,sK2),0)),abs($sum($product(0,sK3(0,sK2)),0)))
    | spl4_31 ),
    inference(resolution,[],[f344,f36]) ).

tff(f473,plain,
    ( spl4_40
    | ~ spl4_17
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f465,f293,f229,f470]) ).

tff(f470,plain,
    ( spl4_40
  <=> $less(sK1,y2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

tff(f229,plain,
    ( spl4_17
  <=> $less(0,y2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

tff(f465,plain,
    ( $less(sK1,y2)
    | ~ spl4_17
    | ~ spl4_27 ),
    inference(resolution,[],[f231,f381]) ).

tff(f231,plain,
    ( $less(0,y2)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f229]) ).

tff(f464,plain,
    ( spl4_39
    | ~ spl4_22
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f451,f293,f253,f461]) ).

tff(f461,plain,
    ( spl4_39
  <=> $less(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

tff(f253,plain,
    ( spl4_22
  <=> $less(0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

tff(f451,plain,
    ( $less(sK1,sK0)
    | ~ spl4_22
    | ~ spl4_27 ),
    inference(resolution,[],[f381,f255]) ).

tff(f255,plain,
    ( $less(0,sK0)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f253]) ).

tff(f459,plain,
    ( spl4_38
    | ~ spl4_15
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f450,f293,f220,f456]) ).

tff(f456,plain,
    ( spl4_38
  <=> $less(sK1,x2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

tff(f450,plain,
    ( $less(sK1,x2)
    | ~ spl4_15
    | ~ spl4_27 ),
    inference(resolution,[],[f381,f222]) ).

tff(f439,plain,
    ( spl4_37
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f434,f242,f436]) ).

tff(f436,plain,
    ( spl4_37
  <=> $less(sK1,abs($product(2,y2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

tff(f434,plain,
    ( $less(sK1,abs($product(2,y2)))
    | ~ spl4_20 ),
    inference(resolution,[],[f244,f91]) ).

tff(f91,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
      | $less(X1,abs(X0)) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f432,plain,
    ( spl4_35
    | spl4_36
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f424,f104,f430,f426]) ).

tff(f430,plain,
    ( spl4_36
  <=> ! [X0: $int] : ~ $less(abs($sum($product($product(2,$sum(sK0,1)),X0),$uminus($product($sum($product(2,sK2),1),x2)))),abs(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

tff(f424,plain,
    ( ! [X0: $int] :
        ( ~ $less(abs($sum($product($product(2,$sum(sK0,1)),X0),$uminus($product($sum($product(2,sK2),1),x2)))),abs(sK1))
        | $less($product(2,$sum(sK0,1)),abs($sum($product($product(4,$sum(sK0,1)),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2)))))) )
    | ~ spl4_1 ),
    inference(evaluation,[],[f422]) ).

tff(f422,plain,
    ( ! [X0: $int] :
        ( $less($product(2,$sum(sK0,1)),abs($sum($product($product(2,$product(2,$sum(sK0,1))),y2),$uminus($product(2,$product($sum($product(2,sK2),1),x2))))))
        | ~ $less(abs($sum($product($product(2,$sum(sK0,1)),X0),$uminus($product($sum($product(2,sK2),1),x2)))),abs(sK1)) )
    | ~ spl4_1 ),
    inference(superposition,[],[f76,f106]) ).

tff(f418,plain,
    ( spl4_34
    | spl4_7 ),
    inference(avatar_split_clause,[],[f408,f134,f415]) ).

tff(f134,plain,
    ( spl4_7
  <=> best(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f408,plain,
    ( $less(abs($sum($product(x2,sK3(sK0,sK2)),$uminus($product(sK0,y2)))),abs($sum($product(x2,sK2),$uminus($product(sK0,y2)))))
    | spl4_7 ),
    inference(resolution,[],[f102,f136]) ).

tff(f136,plain,
    ( ~ best(sK0,sK2)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f134]) ).

tff(f102,plain,
    ! [X0: $int,X1: $int] :
      ( best(X0,X1)
      | $less(abs($sum($product(x2,sK3(X0,X1)),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) ),
    inference(cnf_transformation,[],[f68]) ).

tff(f68,plain,
    ! [X1: $int,X0: $int] :
      ( best(X0,X1)
      | ? [X2: $int] : $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) ),
    inference(ennf_transformation,[],[f62]) ).

tff(f62,plain,
    ! [X1: $int,X0: $int] :
      ( ! [X2: $int] : ~ $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2)))))
     => best(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f48]) ).

tff(f48,plain,
    ! [X1: $int,X0: $int] :
      ( ! [X2: $int] : ~ $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2)))))
    <=> best(X0,X1) ),
    inference(rectify,[],[f21]) ).

tff(f21,plain,
    ! [X1: $int,X7: $int] :
      ( ! [X8: $int] : ~ $less(abs($sum($product(x2,X8),$uminus($product(X1,y2)))),abs($sum($product(x2,X7),$uminus($product(X1,y2)))))
    <=> best(X1,X7) ),
    inference(theory_normalization,[],[f17]) ).

tff(f17,axiom,
    ! [X1: $int,X7: $int] :
      ( ! [X8: $int] : $lesseq(abs($difference($product(x2,X7),$product(X1,y2))),abs($difference($product(x2,X8),$product(X1,y2))))
    <=> best(X1,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',best_def) ).

tff(f413,plain,
    ( spl4_33
    | spl4_29 ),
    inference(avatar_split_clause,[],[f407,f320,f410]) ).

tff(f320,plain,
    ( spl4_29
  <=> best(0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

tff(f407,plain,
    ( $less(abs($sum($product(x2,sK3(0,sK2)),$uminus($product(0,y2)))),abs($sum($product(x2,sK2),$uminus($product(0,y2)))))
    | spl4_29 ),
    inference(resolution,[],[f102,f322]) ).

tff(f322,plain,
    ( ~ best(0,sK2)
    | spl4_29 ),
    inference(avatar_component_clause,[],[f320]) ).

tff(f388,plain,
    ( spl4_32
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f380,f293,f385]) ).

tff(f380,plain,
    ( ( $uminus(sK1) = abs(sK1) )
    | ~ spl4_27 ),
    inference(resolution,[],[f295,f99]) ).

tff(f346,plain,
    ( spl4_31
    | ~ spl4_16
    | ~ spl4_18
    | spl4_29 ),
    inference(avatar_split_clause,[],[f341,f320,f233,f224,f343]) ).

tff(f224,plain,
    ( spl4_16
  <=> ( 0 = x2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

tff(f233,plain,
    ( spl4_18
  <=> ( 0 = y2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

tff(f341,plain,
    ( $less(abs($sum($product(0,sK3(0,sK2)),0)),abs($sum($product(0,sK2),0)))
    | ~ spl4_16
    | ~ spl4_18
    | spl4_29 ),
    inference(evaluation,[],[f340]) ).

tff(f340,plain,
    ( $less(abs($sum($product(0,sK3(0,sK2)),$uminus($product(0,0)))),abs($sum($product(0,sK2),$uminus($product(0,0)))))
    | ~ spl4_16
    | ~ spl4_18
    | spl4_29 ),
    inference(resolution,[],[f304,f322]) ).

tff(f304,plain,
    ( ! [X0: $int,X1: $int] :
        ( best(X0,X1)
        | $less(abs($sum($product(0,sK3(X0,X1)),$uminus($product(X0,0)))),abs($sum($product(0,X1),$uminus($product(X0,0))))) )
    | ~ spl4_16
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f259,f226]) ).

tff(f226,plain,
    ( ( 0 = x2 )
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f224]) ).

tff(f259,plain,
    ( ! [X0: $int,X1: $int] :
        ( $less(abs($sum($product(x2,sK3(X0,X1)),$uminus($product(X0,0)))),abs($sum($product(x2,X1),$uminus($product(X0,0)))))
        | best(X0,X1) )
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f102,f235]) ).

tff(f235,plain,
    ( ( 0 = y2 )
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f233]) ).

tff(f336,plain,
    ( spl4_30
    | ~ spl4_21
    | ~ spl4_26
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f331,f307,f286,f249,f333]) ).

tff(f249,plain,
    ( spl4_21
  <=> ( 0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

tff(f331,plain,
    ( ( 0 = $sum(0,$uminus($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_21
    | ~ spl4_26
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f330,f287]) ).

tff(f287,plain,
    ( ( 0 = sK1 )
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f286]) ).

tff(f330,plain,
    ( ( $sum(0,$uminus($product($sum($product(2,sK2),1),0))) = sK1 )
    | ~ spl4_21
    | ~ spl4_28 ),
    inference(evaluation,[],[f329]) ).

tff(f329,plain,
    ( ( sK1 = $sum($product(0,$sum(0,1)),$uminus($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_21
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f309,f251]) ).

tff(f251,plain,
    ( ( 0 = sK0 )
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f249]) ).

tff(f309,plain,
    ( ( sK1 = $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f307]) ).

tff(f323,plain,
    ( ~ spl4_29
    | spl4_7
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f317,f249,f134,f320]) ).

tff(f317,plain,
    ( ~ best(0,sK2)
    | spl4_7
    | ~ spl4_21 ),
    inference(backward_demodulation,[],[f136,f251]) ).

tff(f314,plain,
    ( ~ spl4_27
    | ~ spl4_16
    | spl4_23 ),
    inference(avatar_split_clause,[],[f313,f269,f224,f293]) ).

tff(f269,plain,
    ( spl4_23
  <=> $less(sK1,$product(2,$sum(0,$uminus(x2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

tff(f313,plain,
    ( ~ $less(sK1,0)
    | ~ spl4_16
    | spl4_23 ),
    inference(evaluation,[],[f312]) ).

tff(f312,plain,
    ( ~ $less(sK1,$product(2,$sum(0,$uminus(0))))
    | ~ spl4_16
    | spl4_23 ),
    inference(forward_demodulation,[],[f271,f226]) ).

tff(f271,plain,
    ( ~ $less(sK1,$product(2,$sum(0,$uminus(x2))))
    | spl4_23 ),
    inference(avatar_component_clause,[],[f269]) ).

tff(f311,plain,
    ( ~ spl4_22
    | spl4_10
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f302,f224,f149,f253]) ).

tff(f149,plain,
    ( spl4_10
  <=> $less(x2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f302,plain,
    ( ~ $less(0,sK0)
    | spl4_10
    | ~ spl4_16 ),
    inference(backward_demodulation,[],[f151,f226]) ).

tff(f151,plain,
    ( ~ $less(x2,sK0)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f149]) ).

tff(f310,plain,
    ( spl4_28
    | ~ spl4_16
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f305,f274,f224,f307]) ).

tff(f305,plain,
    ( ( sK1 = $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),0))) )
    | ~ spl4_16
    | ~ spl4_24 ),
    inference(backward_demodulation,[],[f276,f226]) ).

tff(f276,plain,
    ( ( $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 )
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f274]) ).

tff(f300,plain,
    ( ~ spl4_27
    | ~ spl4_18
    | spl4_20 ),
    inference(avatar_split_clause,[],[f299,f242,f233,f293]) ).

tff(f299,plain,
    ( ~ $less(sK1,0)
    | ~ spl4_18
    | spl4_20 ),
    inference(evaluation,[],[f298]) ).

tff(f298,plain,
    ( ~ $less(sK1,$product(2,0))
    | ~ spl4_18
    | spl4_20 ),
    inference(forward_demodulation,[],[f243,f235]) ).

tff(f243,plain,
    ( ~ $less(sK1,$product(2,y2))
    | spl4_20 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f296,plain,
    ( spl4_27
    | ~ spl4_18
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f291,f242,f233,f293]) ).

tff(f291,plain,
    ( $less(sK1,0)
    | ~ spl4_18
    | ~ spl4_20 ),
    inference(evaluation,[],[f290]) ).

tff(f290,plain,
    ( $less(sK1,$product(2,0))
    | ~ spl4_18
    | ~ spl4_20 ),
    inference(forward_demodulation,[],[f244,f235]) ).

tff(f289,plain,
    ( ~ spl4_26
    | ~ spl4_18
    | spl4_19 ),
    inference(avatar_split_clause,[],[f284,f238,f233,f286]) ).

tff(f284,plain,
    ( ( 0 != sK1 )
    | ~ spl4_18
    | spl4_19 ),
    inference(evaluation,[],[f283]) ).

tff(f283,plain,
    ( ( $product(2,0) != sK1 )
    | ~ spl4_18
    | spl4_19 ),
    inference(forward_demodulation,[],[f239,f235]) ).

tff(f239,plain,
    ( ( $product(2,y2) != sK1 )
    | spl4_19 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f282,plain,
    ( ~ spl4_25
    | spl4_3
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f266,f233,f114,f279]) ).

tff(f279,plain,
    ( spl4_25
  <=> $less(0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

tff(f114,plain,
    ( spl4_3
  <=> $less($product(2,y2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f266,plain,
    ( ~ $less(0,sK1)
    | spl4_3
    | ~ spl4_18 ),
    inference(evaluation,[],[f262]) ).

tff(f262,plain,
    ( ~ $less($product(2,0),sK1)
    | spl4_3
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f116,f235]) ).

tff(f116,plain,
    ( ~ $less($product(2,y2),sK1)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f114]) ).

tff(f277,plain,
    ( spl4_24
    | ~ spl4_1
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f267,f233,f104,f274]) ).

tff(f267,plain,
    ( ( $sum($product(0,$sum(sK0,1)),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 )
    | ~ spl4_1
    | ~ spl4_18 ),
    inference(evaluation,[],[f260]) ).

tff(f260,plain,
    ( ( $sum($product($product(2,$sum(sK0,1)),0),$uminus($product($sum($product(2,sK2),1),x2))) = sK1 )
    | ~ spl4_1
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f106,f235]) ).

tff(f272,plain,
    ( ~ spl4_23
    | spl4_2
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f261,f233,f109,f269]) ).

tff(f109,plain,
    ( spl4_2
  <=> $less(sK1,$product(2,$sum(y2,$uminus(x2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f261,plain,
    ( ~ $less(sK1,$product(2,$sum(0,$uminus(x2))))
    | spl4_2
    | ~ spl4_18 ),
    inference(backward_demodulation,[],[f111,f235]) ).

tff(f111,plain,
    ( ~ $less(sK1,$product(2,$sum(y2,$uminus(x2))))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f109]) ).

tff(f258,plain,
    ( spl4_20
    | spl4_19
    | spl4_3 ),
    inference(avatar_split_clause,[],[f204,f114,f238,f242]) ).

tff(f204,plain,
    ( ( $product(2,y2) = sK1 )
    | $less(sK1,$product(2,y2))
    | spl4_3 ),
    inference(resolution,[],[f36,f116]) ).

tff(f257,plain,
    ( spl4_21
    | spl4_22
    | spl4_4 ),
    inference(avatar_split_clause,[],[f199,f119,f253,f249]) ).

tff(f119,plain,
    ( spl4_4
  <=> $less(sK0,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f199,plain,
    ( $less(0,sK0)
    | ( 0 = sK0 )
    | spl4_4 ),
    inference(resolution,[],[f36,f121]) ).

tff(f121,plain,
    ( ~ $less(sK0,0)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f119]) ).

tff(f256,plain,
    ( spl4_21
    | spl4_22
    | spl4_4 ),
    inference(avatar_split_clause,[],[f212,f119,f253,f249]) ).

tff(f212,plain,
    ( $less(0,sK0)
    | ( 0 = sK0 )
    | spl4_4 ),
    inference(resolution,[],[f36,f121]) ).

tff(f247,plain,
    ( spl4_18
    | spl4_17
    | spl4_5 ),
    inference(avatar_split_clause,[],[f197,f124,f229,f233]) ).

tff(f197,plain,
    ( $less(0,y2)
    | ( 0 = y2 )
    | spl4_5 ),
    inference(resolution,[],[f36,f126]) ).

tff(f126,plain,
    ( ~ $less(y2,0)
    | spl4_5 ),
    inference(avatar_component_clause,[],[f124]) ).

tff(f246,plain,
    ( spl4_16
    | spl4_15
    | spl4_6 ),
    inference(avatar_split_clause,[],[f209,f129,f220,f224]) ).

tff(f129,plain,
    ( spl4_6
  <=> $less(x2,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f209,plain,
    ( $less(0,x2)
    | ( 0 = x2 )
    | spl4_6 ),
    inference(resolution,[],[f36,f131]) ).

tff(f131,plain,
    ( ~ $less(x2,0)
    | spl4_6 ),
    inference(avatar_component_clause,[],[f129]) ).

tff(f245,plain,
    ( spl4_19
    | spl4_20
    | spl4_3 ),
    inference(avatar_split_clause,[],[f217,f114,f242,f238]) ).

tff(f217,plain,
    ( $less(sK1,$product(2,y2))
    | ( $product(2,y2) = sK1 )
    | spl4_3 ),
    inference(resolution,[],[f36,f116]) ).

tff(f236,plain,
    ( spl4_17
    | spl4_18
    | spl4_5 ),
    inference(avatar_split_clause,[],[f210,f124,f233,f229]) ).

tff(f210,plain,
    ( ( 0 = y2 )
    | $less(0,y2)
    | spl4_5 ),
    inference(resolution,[],[f36,f126]) ).

tff(f227,plain,
    ( spl4_15
    | spl4_16
    | spl4_6 ),
    inference(avatar_split_clause,[],[f196,f129,f224,f220]) ).

tff(f196,plain,
    ( ( 0 = x2 )
    | $less(0,x2)
    | spl4_6 ),
    inference(resolution,[],[f36,f131]) ).

tff(f184,plain,
    ( spl4_14
    | spl4_6 ),
    inference(avatar_split_clause,[],[f159,f129,f181]) ).

tff(f181,plain,
    ( spl4_14
  <=> ( x2 = abs(x2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

tff(f159,plain,
    ( ( x2 = abs(x2) )
    | spl4_6 ),
    inference(resolution,[],[f98,f131]) ).

tff(f179,plain,
    ( spl4_13
    | spl4_5 ),
    inference(avatar_split_clause,[],[f160,f124,f176]) ).

tff(f176,plain,
    ( spl4_13
  <=> ( y2 = abs(y2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

tff(f160,plain,
    ( ( y2 = abs(y2) )
    | spl4_5 ),
    inference(resolution,[],[f98,f126]) ).

tff(f174,plain,
    ( spl4_12
    | spl4_4 ),
    inference(avatar_split_clause,[],[f162,f119,f171]) ).

tff(f171,plain,
    ( spl4_12
  <=> ( sK0 = abs(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

tff(f162,plain,
    ( ( sK0 = abs(sK0) )
    | spl4_4 ),
    inference(resolution,[],[f98,f121]) ).

tff(f169,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f163,f166]) ).

tff(f166,plain,
    ( spl4_11
  <=> ( 0 = abs(0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

tff(f163,plain,
    0 = abs(0),
    inference(resolution,[],[f98,f34]) ).

tff(f34,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f152,plain,
    ~ spl4_10,
    inference(avatar_split_clause,[],[f86,f149]) ).

tff(f86,plain,
    ~ $less(x2,sK0),
    inference(cnf_transformation,[],[f73]) ).

tff(f73,plain,
    ( ? [X0: $int,X2: $int,X1: $int] :
        ( ~ $less(x2,X0)
        & ~ $less($product(2,y2),X2)
        & ~ $less(X0,0)
        & ~ best(X0,X1)
        & ~ $less(X2,$product(2,$sum(y2,$uminus(x2))))
        & ( $sum($product($product(2,$sum(X0,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X2 ) )
    & ~ $less(x2,0) ),
    inference(flattening,[],[f72]) ).

tff(f72,plain,
    ( ? [X1: $int,X2: $int,X0: $int] :
        ( ~ best(X0,X1)
        & ~ $less($product(2,y2),X2)
        & ( $sum($product($product(2,$sum(X0,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X2 )
        & ~ $less(X2,$product(2,$sum(y2,$uminus(x2))))
        & ~ $less(X0,0)
        & ~ $less(x2,X0) )
    & ~ $less(x2,0) ),
    inference(ennf_transformation,[],[f52]) ).

tff(f52,plain,
    ~ ( ~ $less(x2,0)
     => ! [X1: $int,X2: $int,X0: $int] :
          ( ( ~ $less(X0,0)
            & ~ $less(x2,X0) )
         => ( ( ~ $less($product(2,y2),X2)
              & ( $sum($product($product(2,$sum(X0,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X2 )
              & ~ $less(X2,$product(2,$sum(y2,$uminus(x2)))) )
           => best(X0,X1) ) ) ),
    inference(rectify,[],[f24]) ).

tff(f24,plain,
    ~ ( ~ $less(x2,0)
     => ! [X1: $int,X7: $int,X12: $int] :
          ( ( ~ $less(x2,X1)
            & ~ $less(X1,0) )
         => ( ( ~ $less(X12,$product(2,$sum(y2,$uminus(x2))))
              & ( $sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X7),1),x2))) = X12 )
              & ~ $less($product(2,y2),X12) )
           => best(X1,X7) ) ) ),
    inference(theory_normalization,[],[f20]) ).

tff(f20,negated_conjecture,
    ~ ( $lesseq(0,x2)
     => ! [X1: $int,X7: $int,X12: $int] :
          ( ( $lesseq(X1,x2)
            & $lesseq(0,X1) )
         => ( ( $lesseq($product(2,$difference(y2,x2)),X12)
              & ( $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12 )
              & $lesseq(X12,$product(2,y2)) )
           => best(X1,X7) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

tff(f19,conjecture,
    ( $lesseq(0,x2)
   => ! [X1: $int,X7: $int,X12: $int] :
        ( ( $lesseq(X1,x2)
          & $lesseq(0,X1) )
       => ( ( $lesseq($product(2,$difference(y2,x2)),X12)
            & ( $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12 )
            & $lesseq(X12,$product(2,y2)) )
         => best(X1,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bresenham) ).

tff(f147,plain,
    ~ spl4_9,
    inference(avatar_split_clause,[],[f101,f144]) ).

tff(f144,plain,
    ( spl4_9
  <=> ( true = false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

tff(f101,plain,
    true != false,
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    true != false,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False) ).

tff(f142,plain,
    ~ spl4_8,
    inference(avatar_split_clause,[],[f75,f139]) ).

tff(f139,plain,
    ( spl4_8
  <=> $less(x2,y2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f75,plain,
    ~ $less(x2,y2),
    inference(cnf_transformation,[],[f28]) ).

tff(f28,plain,
    ( ~ $less(x2,y2)
    & ~ $less(y2,0) ),
    inference(theory_normalization,[],[f13]) ).

tff(f13,axiom,
    ( $lesseq(y2,x2)
    & $lesseq(0,y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_octant) ).

tff(f137,plain,
    ~ spl4_7,
    inference(avatar_split_clause,[],[f83,f134]) ).

tff(f83,plain,
    ~ best(sK0,sK2),
    inference(cnf_transformation,[],[f73]) ).

tff(f132,plain,
    ~ spl4_6,
    inference(avatar_split_clause,[],[f87,f129]) ).

tff(f87,plain,
    ~ $less(x2,0),
    inference(cnf_transformation,[],[f73]) ).

tff(f127,plain,
    ~ spl4_5,
    inference(avatar_split_clause,[],[f74,f124]) ).

tff(f74,plain,
    ~ $less(y2,0),
    inference(cnf_transformation,[],[f28]) ).

tff(f122,plain,
    ~ spl4_4,
    inference(avatar_split_clause,[],[f84,f119]) ).

tff(f84,plain,
    ~ $less(sK0,0),
    inference(cnf_transformation,[],[f73]) ).

tff(f117,plain,
    ~ spl4_3,
    inference(avatar_split_clause,[],[f85,f114]) ).

tff(f85,plain,
    ~ $less($product(2,y2),sK1),
    inference(cnf_transformation,[],[f73]) ).

tff(f112,plain,
    ~ spl4_2,
    inference(avatar_split_clause,[],[f82,f109]) ).

tff(f82,plain,
    ~ $less(sK1,$product(2,$sum(y2,$uminus(x2)))),
    inference(cnf_transformation,[],[f73]) ).

tff(f107,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f81,f104]) ).

tff(f81,plain,
    $sum($product($product(2,$sum(sK0,1)),y2),$uminus($product($sum($product(2,sK2),1),x2))) = sK1,
    inference(cnf_transformation,[],[f73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWW580=2 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:08:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (9431)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (9423)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (9412)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9415)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (9417)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9419)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (9420)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (9430)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (9410)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (9414)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9414)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52  % (9414)Terminated due to inappropriate strategy.
% 0.19/0.52  % (9414)------------------------------
% 0.19/0.52  % (9414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9414)Termination reason: Inappropriate
% 0.19/0.52  
% 0.19/0.52  % (9414)Memory used [KB]: 895
% 0.19/0.52  % (9414)Time elapsed: 0.003 s
% 0.19/0.52  % (9414)Instructions burned: 3 (million)
% 0.19/0.52  % (9414)------------------------------
% 0.19/0.52  % (9414)------------------------------
% 0.19/0.52  % (9415)Instruction limit reached!
% 0.19/0.52  % (9415)------------------------------
% 0.19/0.52  % (9415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9415)Termination reason: Unknown
% 0.19/0.52  % (9415)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (9415)Memory used [KB]: 5500
% 0.19/0.52  % (9415)Time elapsed: 0.074 s
% 0.19/0.52  % (9415)Instructions burned: 7 (million)
% 0.19/0.52  % (9415)------------------------------
% 0.19/0.52  % (9415)------------------------------
% 0.19/0.52  % (9428)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52  % (9413)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (9421)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (9422)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (9418)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (9416)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (9416)Instruction limit reached!
% 0.19/0.53  % (9416)------------------------------
% 0.19/0.53  % (9416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9416)Termination reason: Unknown
% 0.19/0.53  % (9416)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (9416)Memory used [KB]: 895
% 0.19/0.53  % (9416)Time elapsed: 0.003 s
% 0.19/0.53  % (9416)Instructions burned: 3 (million)
% 0.19/0.53  % (9416)------------------------------
% 0.19/0.53  % (9416)------------------------------
% 0.19/0.53  % (9432)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (9436)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (9408)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  % (9408)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.53  % (9427)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (9408)Terminated due to inappropriate strategy.
% 0.19/0.53  % (9408)------------------------------
% 0.19/0.53  % (9408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9408)Termination reason: Inappropriate
% 0.19/0.53  
% 0.19/0.53  % (9408)Memory used [KB]: 895
% 0.19/0.53  % (9408)Time elapsed: 0.006 s
% 0.19/0.53  % (9408)Instructions burned: 4 (million)
% 0.19/0.53  % (9408)------------------------------
% 0.19/0.53  % (9408)------------------------------
% 0.19/0.54  % (9426)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (9409)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (9425)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (9435)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  % (9425)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54  % (9433)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (9425)Terminated due to inappropriate strategy.
% 0.19/0.54  % (9425)------------------------------
% 0.19/0.54  % (9425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9425)Termination reason: Inappropriate
% 0.19/0.54  
% 0.19/0.54  % (9425)Memory used [KB]: 895
% 0.19/0.54  % (9425)Time elapsed: 0.005 s
% 0.19/0.54  % (9425)Instructions burned: 3 (million)
% 0.19/0.54  % (9425)------------------------------
% 0.19/0.54  % (9425)------------------------------
% 0.19/0.54  % (9437)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  % (9424)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (9434)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56  % (9429)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.69/0.58  % (9410)Instruction limit reached!
% 1.69/0.58  % (9410)------------------------------
% 1.69/0.58  % (9410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (9413)Instruction limit reached!
% 1.91/0.60  % (9413)------------------------------
% 1.91/0.60  % (9413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (9413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (9413)Termination reason: Unknown
% 1.91/0.60  % (9413)Termination phase: Saturation
% 1.91/0.60  
% 1.91/0.60  % (9413)Memory used [KB]: 6012
% 1.91/0.60  % (9413)Time elapsed: 0.199 s
% 1.91/0.60  % (9413)Instructions burned: 48 (million)
% 1.91/0.60  % (9413)------------------------------
% 1.91/0.60  % (9413)------------------------------
% 1.91/0.61  % (9410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (9410)Termination reason: Unknown
% 1.91/0.61  % (9410)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (9410)Memory used [KB]: 1279
% 1.91/0.61  % (9410)Time elapsed: 0.189 s
% 1.91/0.61  % (9410)Instructions burned: 37 (million)
% 1.91/0.61  % (9410)------------------------------
% 1.91/0.61  % (9410)------------------------------
% 1.91/0.61  % (9412)Instruction limit reached!
% 1.91/0.61  % (9412)------------------------------
% 1.91/0.61  % (9412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (9412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (9412)Termination reason: Unknown
% 1.91/0.61  % (9412)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (9412)Memory used [KB]: 6012
% 1.91/0.61  % (9412)Time elapsed: 0.212 s
% 1.91/0.61  % (9412)Instructions burned: 52 (million)
% 1.91/0.61  % (9412)------------------------------
% 1.91/0.61  % (9412)------------------------------
% 1.91/0.61  % (9417)Instruction limit reached!
% 1.91/0.61  % (9417)------------------------------
% 1.91/0.61  % (9417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (9417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (9417)Termination reason: Unknown
% 1.91/0.61  % (9417)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (9417)Memory used [KB]: 1535
% 1.91/0.61  % (9417)Time elapsed: 0.218 s
% 1.91/0.61  % (9417)Instructions burned: 52 (million)
% 1.91/0.61  % (9417)------------------------------
% 1.91/0.61  % (9417)------------------------------
% 1.91/0.62  % (9423)Instruction limit reached!
% 1.91/0.62  % (9423)------------------------------
% 1.91/0.62  % (9423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (9423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (9423)Termination reason: Unknown
% 1.91/0.62  % (9423)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (9423)Memory used [KB]: 1918
% 1.91/0.62  % (9423)Time elapsed: 0.165 s
% 1.91/0.62  % (9423)Instructions burned: 76 (million)
% 1.91/0.62  % (9423)------------------------------
% 1.91/0.62  % (9423)------------------------------
% 1.91/0.62  % (9418)Instruction limit reached!
% 1.91/0.62  % (9418)------------------------------
% 1.91/0.62  % (9418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (9409)Instruction limit reached!
% 1.91/0.62  % (9409)------------------------------
% 1.91/0.62  % (9409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (9409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (9409)Termination reason: Unknown
% 1.91/0.62  % (9409)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (9409)Memory used [KB]: 6140
% 1.91/0.62  % (9409)Time elapsed: 0.228 s
% 1.91/0.62  % (9409)Instructions burned: 50 (million)
% 1.91/0.62  % (9409)------------------------------
% 1.91/0.62  % (9409)------------------------------
% 1.91/0.62  % (9411)Instruction limit reached!
% 1.91/0.62  % (9411)------------------------------
% 1.91/0.62  % (9411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (9411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (9411)Termination reason: Unknown
% 1.91/0.62  % (9411)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (9411)Memory used [KB]: 6140
% 1.91/0.62  % (9411)Time elapsed: 0.229 s
% 1.91/0.62  % (9411)Instructions burned: 52 (million)
% 1.91/0.62  % (9411)------------------------------
% 1.91/0.62  % (9411)------------------------------
% 2.27/0.64  % (9418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.64  % (9418)Termination reason: Unknown
% 2.27/0.64  % (9418)Termination phase: Saturation
% 2.27/0.64  
% 2.27/0.64  % (9418)Memory used [KB]: 6140
% 2.27/0.64  % (9418)Time elapsed: 0.205 s
% 2.27/0.64  % (9418)Instructions burned: 51 (million)
% 2.27/0.64  % (9418)------------------------------
% 2.27/0.64  % (9418)------------------------------
% 2.27/0.64  % (9422)Instruction limit reached!
% 2.27/0.64  % (9422)------------------------------
% 2.27/0.64  % (9422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.64  % (9422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.64  % (9422)Termination reason: Unknown
% 2.27/0.64  % (9422)Termination phase: Saturation
% 2.27/0.64  
% 2.27/0.64  % (9422)Memory used [KB]: 6524
% 2.27/0.64  % (9422)Time elapsed: 0.038 s
% 2.27/0.64  % (9422)Instructions burned: 68 (million)
% 2.27/0.64  % (9422)------------------------------
% 2.27/0.64  % (9422)------------------------------
% 2.27/0.65  % (9421)Instruction limit reached!
% 2.27/0.65  % (9421)------------------------------
% 2.27/0.65  % (9421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65  % (9421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65  % (9421)Termination reason: Unknown
% 2.27/0.65  % (9421)Termination phase: Saturation
% 2.27/0.65  
% 2.27/0.65  % (9421)Memory used [KB]: 6652
% 2.27/0.65  % (9421)Time elapsed: 0.258 s
% 2.27/0.65  % (9421)Instructions burned: 99 (million)
% 2.27/0.65  % (9421)------------------------------
% 2.27/0.65  % (9421)------------------------------
% 2.27/0.66  % (9440)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.27/0.66  % (9438)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.27/0.66  % (9439)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.27/0.66  % (9427)Instruction limit reached!
% 2.27/0.66  % (9427)------------------------------
% 2.27/0.66  % (9427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (9427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66  % (9427)Termination reason: Unknown
% 2.27/0.66  % (9427)Termination phase: Saturation
% 2.27/0.66  
% 2.27/0.66  % (9427)Memory used [KB]: 1535
% 2.27/0.66  % (9427)Time elapsed: 0.252 s
% 2.27/0.66  % (9427)Instructions burned: 101 (million)
% 2.27/0.66  % (9427)------------------------------
% 2.27/0.66  % (9427)------------------------------
% 2.27/0.67  % (9441)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.27/0.68  % (9434)Instruction limit reached!
% 2.27/0.68  % (9434)------------------------------
% 2.27/0.68  % (9434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.68  % (9434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.68  % (9434)Termination reason: Unknown
% 2.27/0.68  % (9434)Termination phase: Saturation
% 2.27/0.68  
% 2.27/0.68  % (9434)Memory used [KB]: 6524
% 2.27/0.68  % (9434)Time elapsed: 0.036 s
% 2.27/0.68  % (9434)Instructions burned: 69 (million)
% 2.27/0.68  % (9434)------------------------------
% 2.27/0.68  % (9434)------------------------------
% 2.27/0.69  % (9442)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/934Mi)
% 2.27/0.69  % (9419)Instruction limit reached!
% 2.27/0.69  % (9419)------------------------------
% 2.27/0.69  % (9419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69  % (9419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69  % (9419)Termination reason: Unknown
% 2.27/0.69  % (9419)Termination phase: Saturation
% 2.27/0.69  
% 2.27/0.69  % (9419)Memory used [KB]: 6908
% 2.27/0.69  % (9419)Time elapsed: 0.278 s
% 2.27/0.69  % (9419)Instructions burned: 101 (million)
% 2.27/0.69  % (9419)------------------------------
% 2.27/0.69  % (9419)------------------------------
% 2.27/0.70  % (9420)Instruction limit reached!
% 2.27/0.70  % (9420)------------------------------
% 2.27/0.70  % (9420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70  % (9420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70  % (9420)Termination reason: Unknown
% 2.27/0.70  % (9420)Termination phase: Saturation
% 2.27/0.70  
% 2.27/0.70  % (9420)Memory used [KB]: 6524
% 2.27/0.70  % (9420)Time elapsed: 0.281 s
% 2.27/0.70  % (9420)Instructions burned: 101 (million)
% 2.27/0.70  % (9420)------------------------------
% 2.27/0.70  % (9420)------------------------------
% 2.68/0.72  % (9426)Instruction limit reached!
% 2.68/0.72  % (9426)------------------------------
% 2.68/0.72  % (9426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.72  % (9426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.72  % (9426)Termination reason: Unknown
% 2.68/0.72  % (9426)Termination phase: Saturation
% 2.68/0.72  
% 2.68/0.72  % (9426)Memory used [KB]: 6652
% 2.68/0.72  % (9426)Time elapsed: 0.322 s
% 2.68/0.72  % (9426)Instructions burned: 100 (million)
% 2.68/0.72  % (9426)------------------------------
% 2.68/0.72  % (9426)------------------------------
% 2.68/0.72  % (9443)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.68/0.73  % (9424)Instruction limit reached!
% 2.68/0.73  % (9424)------------------------------
% 2.68/0.73  % (9424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.73  % (9424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.73  % (9424)Termination reason: Unknown
% 2.68/0.73  % (9424)Termination phase: Saturation
% 2.68/0.73  
% 2.68/0.73  % (9424)Memory used [KB]: 6268
% 2.68/0.73  % (9424)Time elapsed: 0.333 s
% 2.68/0.73  % (9424)Instructions burned: 99 (million)
% 2.68/0.73  % (9424)------------------------------
% 2.68/0.73  % (9424)------------------------------
% 2.68/0.73  % (9450)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.68/0.74  % (9444)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.68/0.75  % (9445)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.68/0.75  % (9446)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.68/0.76  % (9451)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.68/0.76  % (9448)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.68/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.68/0.76  % (9447)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.93/0.78  % (9453)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.93/0.78  % (9449)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.93/0.79  % (9452)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.93/0.80  % (9429)Instruction limit reached!
% 2.93/0.80  % (9429)------------------------------
% 2.93/0.80  % (9429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.80  % (9429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.80  % (9429)Termination reason: Unknown
% 2.93/0.80  % (9429)Termination phase: Saturation
% 2.93/0.80  
% 2.93/0.80  % (9429)Memory used [KB]: 6780
% 2.93/0.80  % (9429)Time elapsed: 0.381 s
% 2.93/0.80  % (9429)Instructions burned: 140 (million)
% 2.93/0.80  % (9429)------------------------------
% 2.93/0.80  % (9429)------------------------------
% 2.93/0.81  % (9454)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.93/0.82  % (9455)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.93/0.83  % (9440)Instruction limit reached!
% 2.93/0.83  % (9440)------------------------------
% 2.93/0.83  % (9440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.83  % (9440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.83  % (9440)Termination reason: Unknown
% 2.93/0.83  % (9440)Termination phase: Saturation
% 2.93/0.83  
% 2.93/0.83  % (9440)Memory used [KB]: 6396
% 2.93/0.83  % (9440)Time elapsed: 0.271 s
% 2.93/0.83  % (9440)Instructions burned: 91 (million)
% 2.93/0.83  % (9440)------------------------------
% 2.93/0.83  % (9440)------------------------------
% 2.93/0.83  % (9456)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.93/0.84  % (9428)Instruction limit reached!
% 2.93/0.84  % (9428)------------------------------
% 2.93/0.84  % (9428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.85  % (9428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.85  % (9428)Termination reason: Unknown
% 2.93/0.85  % (9428)Termination phase: Saturation
% 2.93/0.85  
% 2.93/0.85  % (9428)Memory used [KB]: 7036
% 2.93/0.85  % (9428)Time elapsed: 0.432 s
% 2.93/0.85  % (9428)Instructions burned: 176 (million)
% 2.93/0.85  % (9428)------------------------------
% 2.93/0.85  % (9428)------------------------------
% 2.93/0.85  % (9457)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.30/0.86  % (9458)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.30/0.88  % (9445)Instruction limit reached!
% 3.30/0.88  % (9445)------------------------------
% 3.30/0.88  % (9445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.88  % (9445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.88  % (9445)Termination reason: Unknown
% 3.30/0.88  % (9445)Termination phase: Saturation
% 3.30/0.88  
% 3.30/0.88  % (9445)Memory used [KB]: 6652
% 3.30/0.88  % (9445)Time elapsed: 0.034 s
% 3.30/0.88  % (9445)Instructions burned: 69 (million)
% 3.30/0.88  % (9445)------------------------------
% 3.30/0.88  % (9445)------------------------------
% 3.30/0.88  % (9435)Instruction limit reached!
% 3.30/0.88  % (9435)------------------------------
% 3.30/0.88  % (9435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.88  % (9435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.88  % (9435)Termination reason: Unknown
% 3.30/0.88  % (9435)Termination phase: Saturation
% 3.30/0.88  
% 3.30/0.88  % (9435)Memory used [KB]: 3326
% 3.30/0.88  % (9435)Time elapsed: 0.465 s
% 3.30/0.88  % (9435)Instructions burned: 177 (million)
% 3.30/0.88  % (9435)------------------------------
% 3.30/0.88  % (9435)------------------------------
% 3.44/0.91  % (9448)Instruction limit reached!
% 3.44/0.91  % (9448)------------------------------
% 3.44/0.91  % (9448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.44/0.93  % (9448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.44/0.93  % (9448)Termination reason: Unknown
% 3.44/0.93  % (9448)Termination phase: Saturation
% 3.44/0.93  
% 3.44/0.93  % (9448)Memory used [KB]: 6396
% 3.44/0.93  % (9448)Time elapsed: 0.248 s
% 3.44/0.93  % (9448)Instructions burned: 91 (million)
% 3.44/0.93  % (9448)------------------------------
% 3.44/0.93  % (9448)------------------------------
% 3.63/0.93  % (9459)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.64/0.94  % (9455)Instruction limit reached!
% 3.64/0.94  % (9455)------------------------------
% 3.64/0.94  % (9455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.95  % (9455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/0.95  % (9455)Termination reason: Unknown
% 3.64/0.95  % (9455)Termination phase: Saturation
% 3.64/0.95  
% 3.64/0.95  % (9455)Memory used [KB]: 6524
% 3.64/0.95  % (9455)Time elapsed: 0.034 s
% 3.64/0.95  % (9455)Instructions burned: 69 (million)
% 3.64/0.95  % (9455)------------------------------
% 3.64/0.95  % (9455)------------------------------
% 3.64/0.96  % (9460)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.64/0.97  % (9461)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.91/1.01  % (9462)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.91/1.01  % (9463)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.91/1.01  % (9439)Instruction limit reached!
% 3.91/1.01  % (9439)------------------------------
% 3.91/1.01  % (9439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.91/1.03  % (9439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.91/1.03  % (9439)Termination reason: Unknown
% 3.91/1.03  % (9439)Termination phase: Saturation
% 3.91/1.03  
% 3.91/1.03  % (9439)Memory used [KB]: 3326
% 3.91/1.03  % (9439)Time elapsed: 0.444 s
% 3.91/1.03  % (9439)Instructions burned: 211 (million)
% 3.91/1.03  % (9439)------------------------------
% 3.91/1.03  % (9439)------------------------------
% 3.91/1.06  % (9464)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 5.72/1.09  % (9465)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.72/1.11  % (9460)Instruction limit reached!
% 5.72/1.11  % (9460)------------------------------
% 5.72/1.11  % (9460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.11  % (9460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.11  % (9460)Termination reason: Unknown
% 5.72/1.11  % (9460)Termination phase: Saturation
% 5.72/1.11  
% 5.72/1.11  % (9460)Memory used [KB]: 6268
% 5.72/1.11  % (9460)Time elapsed: 0.251 s
% 5.72/1.11  % (9460)Instructions burned: 90 (million)
% 5.72/1.11  % (9460)------------------------------
% 5.72/1.11  % (9460)------------------------------
% 5.72/1.13  % (9437)Instruction limit reached!
% 5.72/1.13  % (9437)------------------------------
% 5.72/1.13  % (9437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.13  % (9437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.13  % (9437)Termination reason: Unknown
% 5.72/1.13  % (9437)Termination phase: Saturation
% 5.72/1.13  
% 5.72/1.13  % (9437)Memory used [KB]: 8827
% 5.72/1.13  % (9437)Time elapsed: 0.640 s
% 5.72/1.13  % (9437)Instructions burned: 357 (million)
% 5.72/1.13  % (9437)------------------------------
% 5.72/1.13  % (9437)------------------------------
% 6.46/1.17  % (9466)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1824Mi)
% 6.46/1.19  % (9433)Instruction limit reached!
% 6.46/1.19  % (9433)------------------------------
% 6.46/1.19  % (9433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.70/1.21  % (9433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.70/1.21  % (9433)Termination reason: Unknown
% 6.70/1.21  % (9433)Termination phase: Saturation
% 6.70/1.21  
% 6.70/1.21  % (9433)Memory used [KB]: 10362
% 6.70/1.21  % (9433)Time elapsed: 0.779 s
% 6.70/1.21  % (9433)Instructions burned: 501 (million)
% 6.70/1.21  % (9433)------------------------------
% 6.70/1.21  % (9433)------------------------------
% 6.70/1.23  % (9431)Instruction limit reached!
% 6.70/1.23  % (9431)------------------------------
% 6.70/1.23  % (9431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.70/1.23  % (9431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.70/1.23  % (9431)Termination reason: Unknown
% 6.70/1.23  % (9431)Termination phase: Saturation
% 6.70/1.23  
% 6.70/1.23  % (9431)Memory used [KB]: 9722
% 6.70/1.23  % (9431)Time elapsed: 0.779 s
% 6.70/1.23  % (9431)Instructions burned: 467 (million)
% 6.70/1.23  % (9431)------------------------------
% 6.70/1.23  % (9431)------------------------------
% 6.93/1.25  % (9467)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.93/1.25  % (9430)Instruction limit reached!
% 6.93/1.25  % (9430)------------------------------
% 6.93/1.25  % (9430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.25  % (9430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.25  % (9430)Termination reason: Unknown
% 6.93/1.25  % (9430)Termination phase: Saturation
% 6.93/1.25  
% 6.93/1.25  % (9430)Memory used [KB]: 2558
% 6.93/1.25  % (9430)Time elapsed: 0.817 s
% 6.93/1.25  % (9430)Instructions burned: 500 (million)
% 6.93/1.25  % (9430)------------------------------
% 6.93/1.25  % (9430)------------------------------
% 6.93/1.27  % (9468)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 6.93/1.28  % (9436)Instruction limit reached!
% 6.93/1.28  % (9436)------------------------------
% 6.93/1.28  % (9436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.28  % (9436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.28  % (9436)Termination reason: Unknown
% 6.93/1.28  % (9436)Termination phase: Saturation
% 6.93/1.28  
% 6.93/1.28  % (9436)Memory used [KB]: 9722
% 6.93/1.28  % (9436)Time elapsed: 0.863 s
% 6.93/1.28  % (9436)Instructions burned: 439 (million)
% 6.93/1.28  % (9436)------------------------------
% 6.93/1.28  % (9436)------------------------------
% 6.93/1.31  % (9469)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 6.93/1.31  % (9438)Instruction limit reached!
% 6.93/1.31  % (9438)------------------------------
% 6.93/1.31  % (9438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.31  % (9438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.31  % (9438)Termination reason: Unknown
% 6.93/1.31  % (9438)Termination phase: Saturation
% 6.93/1.31  
% 6.93/1.31  % (9438)Memory used [KB]: 8443
% 6.93/1.31  % (9438)Time elapsed: 0.754 s
% 6.93/1.31  % (9438)Instructions burned: 389 (million)
% 6.93/1.31  % (9438)------------------------------
% 6.93/1.31  % (9438)------------------------------
% 7.57/1.33  % (9470)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.57/1.38  % (9432)Instruction limit reached!
% 7.57/1.38  % (9432)------------------------------
% 7.57/1.38  % (9432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.57/1.38  % (9432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.57/1.38  % (9432)Termination reason: Unknown
% 7.57/1.38  % (9432)Termination phase: Saturation
% 7.57/1.38  
% 7.57/1.38  % (9432)Memory used [KB]: 10106
% 7.57/1.38  % (9432)Time elapsed: 0.980 s
% 7.57/1.38  % (9432)Instructions burned: 484 (million)
% 7.57/1.38  % (9432)------------------------------
% 7.57/1.38  % (9432)------------------------------
% 7.57/1.38  % (9472)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 7.57/1.38  % (9471)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 8.00/1.42  % (9473)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/32293Mi)
% 8.00/1.43  % (9469)Instruction limit reached!
% 8.00/1.43  % (9469)------------------------------
% 8.00/1.43  % (9469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.00/1.43  % (9469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.00/1.43  % (9469)Termination reason: Unknown
% 8.00/1.43  % (9469)Termination phase: Saturation
% 8.00/1.43  
% 8.00/1.43  % (9469)Memory used [KB]: 6524
% 8.00/1.43  % (9469)Time elapsed: 0.150 s
% 8.00/1.43  % (9469)Instructions burned: 92 (million)
% 8.00/1.43  % (9469)------------------------------
% 8.00/1.43  % (9469)------------------------------
% 8.00/1.46  % (9456)First to succeed.
% 8.48/1.49  % (9456)Refutation found. Thanks to Tanya!
% 8.48/1.49  % SZS status Theorem for theBenchmark
% 8.48/1.49  % SZS output start Proof for theBenchmark
% See solution above
% 8.48/1.49  % (9456)------------------------------
% 8.48/1.49  % (9456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.48/1.49  % (9456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.48/1.49  % (9456)Termination reason: Refutation
% 8.48/1.49  
% 8.48/1.49  % (9456)Memory used [KB]: 1918
% 8.48/1.49  % (9456)Time elapsed: 0.733 s
% 8.48/1.49  % (9456)Instructions burned: 447 (million)
% 8.48/1.49  % (9456)------------------------------
% 8.48/1.49  % (9456)------------------------------
% 8.48/1.49  % (9407)Success in time 1.135 s
%------------------------------------------------------------------------------