TSTP Solution File: COL100-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL100-2 : TPTP v8.1.0. Released v2.7.0.
% 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 : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:52:51 EDT 2022

% Result   : Unsatisfiable 9.17s 1.56s
% Output   : Refutation 9.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  295 (  12 unt;   0 def)
%            Number of atoms       :  871 (   2 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1094 ( 518   ~; 502   |;   0   &)
%                                         (  74 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   79 (  77 usr;  75 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :  173 ( 173   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f822,plain,
    $false,
    inference(avatar_smt_refutation,[],[f175,f180,f185,f190,f195,f201,f208,f214,f227,f233,f246,f254,f258,f267,f283,f290,f303,f314,f321,f322,f372,f377,f390,f395,f401,f415,f423,f427,f437,f447,f454,f466,f471,f476,f489,f493,f503,f508,f514,f523,f528,f533,f538,f549,f564,f583,f588,f593,f598,f603,f608,f619,f629,f630,f658,f665,f672,f679,f703,f708,f709,f714,f719,f720,f729,f758,f763,f768,f773,f793,f813,f820,f821]) ).

fof(f821,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_20
    | spl0_73 ),
    inference(avatar_split_clause,[],[f815,f810,f311,f187,f182]) ).

fof(f182,plain,
    ( spl0_3
  <=> diamond(r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f187,plain,
    ( spl0_4
  <=> member(pair(ya,z),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f311,plain,
    ( spl0_20
  <=> member(pair(ya,sk1(yp)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f810,plain,
    ( spl0_73
  <=> member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f815,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | ~ member(pair(ya,z),r)
    | ~ diamond(r)
    | spl0_73 ),
    inference(resolution,[],[f812,f152]) ).

fof(f152,axiom,
    ! [X3,X11,X18,X7] :
      ( member(pair(X18,diamond_strip_lemmaD_sk1(X3,X7,X18,X11)),trancl(X11))
      | ~ member(pair(X3,X18),X11)
      | ~ member(pair(X3,X7),trancl(X11))
      | ~ diamond(X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

fof(f812,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | spl0_73 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f820,plain,
    ( ~ spl0_74
    | spl0_73 ),
    inference(avatar_split_clause,[],[f814,f810,f817]) ).

fof(f817,plain,
    ( spl0_74
  <=> member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f814,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r)
    | spl0_73 ),
    inference(resolution,[],[f812,f149]) ).

fof(f149,axiom,
    ! [X11,X6,X4] :
      ( member(pair(X4,X6),trancl(X11))
      | ~ member(pair(X4,X6),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f813,plain,
    ( ~ spl0_73
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f804,f770,f810]) ).

fof(f770,plain,
    ( spl0_71
  <=> member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f804,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ spl0_71 ),
    inference(resolution,[],[f772,f160]) ).

fof(f160,axiom,
    ! [X19] :
      ( ~ member(pair(yp,X19),trancl(r))
      | ~ member(pair(z,X19),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

fof(f772,plain,
    ( member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f793,plain,
    ( spl0_72
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f785,f307,f187,f182,f311,f790]) ).

fof(f790,plain,
    ( spl0_72
  <=> member(pair(sk1(yp),sk1(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f307,plain,
    ( spl0_19
  <=> member(pair(y,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f785,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | member(pair(sk1(yp),sk1(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r))),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(resolution,[],[f347,f309]) ).

fof(f309,plain,
    ( member(pair(y,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f347,plain,
    ( ! [X0] :
        ( ~ member(pair(y,diamond_strip_lemmaD_sk1(ya,X0,z,r)),trancl(r))
        | ~ member(pair(ya,X0),trancl(r))
        | member(pair(X0,sk1(diamond_strip_lemmaD_sk1(ya,X0,z,r))),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f274,f216]) ).

fof(f216,plain,
    ( ! [X0] :
        ( member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r)
        | ~ member(pair(ya,X0),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f209,f189]) ).

fof(f189,plain,
    ( member(pair(ya,z),r)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f209,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(pair(X1,X2),r)
        | member(pair(X0,diamond_strip_lemmaD_sk1(X1,X0,X2,r)),r)
        | ~ member(pair(X1,X0),trancl(r)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f153,f184]) ).

fof(f184,plain,
    ( diamond(r)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f153,axiom,
    ! [X3,X11,X18,X7] :
      ( ~ diamond(X11)
      | member(pair(X7,diamond_strip_lemmaD_sk1(X3,X7,X18,X11)),X11)
      | ~ member(pair(X3,X18),X11)
      | ~ member(pair(X3,X7),trancl(X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

fof(f274,plain,
    ! [X8,X7] :
      ( ~ member(pair(X7,X8),r)
      | ~ member(pair(y,X8),trancl(r))
      | member(pair(X7,sk1(X8)),trancl(r)) ),
    inference(resolution,[],[f238,f158]) ).

fof(f158,axiom,
    ! [X18] :
      ( member(pair(X18,sk1(X18)),trancl(r))
      | ~ member(pair(y,X18),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

fof(f238,plain,
    ! [X8,X6,X9,X7] :
      ( ~ member(pair(X6,X7),trancl(X8))
      | member(pair(X9,X7),trancl(X8))
      | ~ member(pair(X9,X6),X8) ),
    inference(resolution,[],[f215,f149]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(pair(X0,X3),trancl(X2))
      | ~ member(pair(X3,X1),trancl(X2))
      | member(pair(X0,X1),trancl(X2)) ),
    inference(resolution,[],[f151,f150]) ).

fof(f150,axiom,
    ! [X11] : trans(trancl(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).

fof(f151,axiom,
    ! [X11,X6,X4,X5] :
      ( ~ trans(X11)
      | member(pair(X4,X5),X11)
      | ~ member(pair(X4,X6),X11)
      | ~ member(pair(X6,X5),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f773,plain,
    ( ~ spl0_2
    | spl0_71
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f747,f311,f187,f182,f770,f177]) ).

fof(f177,plain,
    ( spl0_2
  <=> member(pair(y,yp),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f747,plain,
    ( member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ member(pair(y,yp),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(resolution,[],[f351,f312]) ).

fof(f312,plain,
    ( member(pair(ya,sk1(yp)),trancl(r))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f351,plain,
    ( ! [X0] :
        ( ~ member(pair(ya,sk1(X0)),trancl(r))
        | ~ member(pair(y,X0),trancl(r))
        | member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(X0),z,r)),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f285,f216]) ).

fof(f285,plain,
    ! [X2,X1] :
      ( ~ member(pair(sk1(X1),X2),r)
      | member(pair(X1,X2),trancl(r))
      | ~ member(pair(y,X1),trancl(r)) ),
    inference(resolution,[],[f237,f149]) ).

fof(f237,plain,
    ! [X4,X5] :
      ( ~ member(pair(sk1(X4),X5),trancl(r))
      | ~ member(pair(y,X4),trancl(r))
      | member(pair(X4,X5),trancl(r)) ),
    inference(resolution,[],[f215,f158]) ).

fof(f768,plain,
    ( ~ spl0_13
    | spl0_70
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f748,f561,f187,f182,f765,f251]) ).

fof(f251,plain,
    ( spl0_13
  <=> member(pair(y,sk1(yp)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f765,plain,
    ( spl0_70
  <=> member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(sk1(yp)),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f561,plain,
    ( spl0_49
  <=> member(pair(ya,sk1(sk1(yp))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f748,plain,
    ( member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(sk1(yp)),z,r)),trancl(r))
    | ~ member(pair(y,sk1(yp)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_49 ),
    inference(resolution,[],[f351,f562]) ).

fof(f562,plain,
    ( member(pair(ya,sk1(sk1(yp))),trancl(r))
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f763,plain,
    ( ~ spl0_26
    | spl0_69
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f749,f716,f187,f182,f760,f392]) ).

fof(f392,plain,
    ( spl0_26
  <=> member(pair(y,sk1(sk1(yp))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f760,plain,
    ( spl0_69
  <=> member(pair(sk1(sk1(yp)),diamond_strip_lemmaD_sk1(ya,sk1(sk1(sk1(yp))),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f716,plain,
    ( spl0_66
  <=> member(pair(ya,sk1(sk1(sk1(yp)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f749,plain,
    ( member(pair(sk1(sk1(yp)),diamond_strip_lemmaD_sk1(ya,sk1(sk1(sk1(yp))),z,r)),trancl(r))
    | ~ member(pair(y,sk1(sk1(yp))),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_66 ),
    inference(resolution,[],[f351,f718]) ).

fof(f718,plain,
    ( member(pair(ya,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f758,plain,
    ( ~ spl0_1
    | spl0_68
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f753,f187,f182,f755,f172]) ).

fof(f172,plain,
    ( spl0_1
  <=> member(pair(y,ya),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f755,plain,
    ( spl0_68
  <=> member(pair(ya,diamond_strip_lemmaD_sk1(ya,sk1(ya),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f753,plain,
    ( member(pair(ya,diamond_strip_lemmaD_sk1(ya,sk1(ya),z,r)),trancl(r))
    | ~ member(pair(y,ya),trancl(r))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f750]) ).

fof(f750,plain,
    ( ~ member(pair(y,ya),trancl(r))
    | ~ member(pair(y,ya),trancl(r))
    | member(pair(ya,diamond_strip_lemmaD_sk1(ya,sk1(ya),z,r)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f351,f158]) ).

fof(f729,plain,
    ( ~ spl0_3
    | spl0_67
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f725,f187,f182,f727,f182]) ).

fof(f727,plain,
    ( spl0_67
  <=> ! [X4,X5,X3] :
        ( ~ member(pair(X4,X5),trancl(r))
        | member(pair(z,diamond_strip_lemmaD_sk1(X4,X5,diamond_strip_lemmaD_sk1(ya,X3,z,r),r)),trancl(r))
        | ~ member(pair(X4,diamond_strip_lemmaD_sk1(ya,X3,z,r)),r)
        | ~ member(pair(ya,X3),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f725,plain,
    ( ! [X3,X4,X5] :
        ( ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(ya,X3),trancl(r))
        | ~ member(pair(X4,diamond_strip_lemmaD_sk1(ya,X3,z,r)),r)
        | ~ diamond(r)
        | member(pair(z,diamond_strip_lemmaD_sk1(X4,X5,diamond_strip_lemmaD_sk1(ya,X3,z,r),r)),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f378,f152]) ).

fof(f378,plain,
    ( ! [X0,X1] :
        ( ~ member(pair(diamond_strip_lemmaD_sk1(ya,X0,z,r),X1),trancl(r))
        | ~ member(pair(ya,X0),trancl(r))
        | member(pair(z,X1),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f293,f189]) ).

fof(f293,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ member(pair(X0,X2),r)
        | ~ member(pair(diamond_strip_lemmaD_sk1(X0,X1,X2,r),X3),trancl(r))
        | ~ member(pair(X0,X1),trancl(r))
        | member(pair(X2,X3),trancl(r)) )
    | ~ spl0_3 ),
    inference(resolution,[],[f239,f184]) ).

fof(f239,plain,
    ! [X10,X11,X14,X12,X13] :
      ( ~ diamond(X13)
      | ~ member(pair(X10,X11),trancl(X13))
      | member(pair(X12,X14),trancl(X13))
      | ~ member(pair(diamond_strip_lemmaD_sk1(X10,X11,X12,X13),X14),trancl(X13))
      | ~ member(pair(X10,X12),X13) ),
    inference(resolution,[],[f215,f152]) ).

fof(f720,plain,
    ( spl0_66
    | ~ spl0_2
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f691,f590,f177,f716]) ).

fof(f590,plain,
    ( spl0_52
  <=> member(pair(sk1(yp),sk1(sk1(sk1(yp)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f691,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(ya,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f236]) ).

fof(f236,plain,
    ! [X2,X3] :
      ( ~ member(pair(sk1(X2),X3),trancl(r))
      | ~ member(pair(y,X2),trancl(r))
      | member(pair(ya,X3),trancl(r)) ),
    inference(resolution,[],[f215,f157]) ).

fof(f157,axiom,
    ! [X18] :
      ( member(pair(ya,sk1(X18)),trancl(r))
      | ~ member(pair(y,X18),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

fof(f592,plain,
    ( member(pair(sk1(yp),sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f719,plain,
    ( spl0_66
    | ~ spl0_20
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f692,f590,f311,f716]) ).

fof(f692,plain,
    ( member(pair(ya,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_20
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f341]) ).

fof(f341,plain,
    ( ! [X1] :
        ( ~ member(pair(sk1(yp),X1),trancl(r))
        | member(pair(ya,X1),trancl(r)) )
    | ~ spl0_20 ),
    inference(resolution,[],[f312,f215]) ).

fof(f714,plain,
    ( ~ spl0_2
    | spl0_65
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f686,f590,f711,f177]) ).

fof(f711,plain,
    ( spl0_65
  <=> member(pair(yp,sk1(sk1(sk1(yp)))),trancl(trancl(r))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f686,plain,
    ( member(pair(yp,sk1(sk1(sk1(yp)))),trancl(trancl(r)))
    | ~ member(pair(y,yp),trancl(r))
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f332]) ).

fof(f332,plain,
    ! [X11,X12] :
      ( ~ member(pair(sk1(X11),X12),trancl(r))
      | ~ member(pair(y,X11),trancl(r))
      | member(pair(X11,X12),trancl(trancl(r))) ),
    inference(resolution,[],[f275,f158]) ).

fof(f275,plain,
    ! [X10,X11,X9,X12] :
      ( ~ member(pair(X9,X12),X11)
      | ~ member(pair(X12,X10),X11)
      | member(pair(X9,X10),trancl(X11)) ),
    inference(resolution,[],[f238,f149]) ).

fof(f709,plain,
    ( spl0_64
    | ~ spl0_13
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f693,f590,f251,f705]) ).

fof(f705,plain,
    ( spl0_64
  <=> member(pair(y,sk1(sk1(sk1(yp)))),trancl(trancl(r))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f693,plain,
    ( member(pair(y,sk1(sk1(sk1(yp)))),trancl(trancl(r)))
    | ~ spl0_13
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f328]) ).

fof(f328,plain,
    ( ! [X5] :
        ( ~ member(pair(sk1(yp),X5),trancl(r))
        | member(pair(y,X5),trancl(trancl(r))) )
    | ~ spl0_13 ),
    inference(resolution,[],[f275,f253]) ).

fof(f253,plain,
    ( member(pair(y,sk1(yp)),trancl(r))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f708,plain,
    ( ~ spl0_2
    | spl0_64
    | ~ spl0_1
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f688,f590,f172,f705,f177]) ).

fof(f688,plain,
    ( member(pair(y,sk1(sk1(sk1(yp)))),trancl(trancl(r)))
    | ~ member(pair(y,yp),trancl(r))
    | ~ spl0_1
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f329]) ).

fof(f329,plain,
    ( ! [X6,X7] :
        ( ~ member(pair(sk1(X6),X7),trancl(r))
        | ~ member(pair(y,X6),trancl(r))
        | member(pair(y,X7),trancl(trancl(r))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f275,f260]) ).

fof(f260,plain,
    ( ! [X0] :
        ( member(pair(y,sk1(X0)),trancl(r))
        | ~ member(pair(y,X0),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f235,f157]) ).

fof(f235,plain,
    ( ! [X1] :
        ( ~ member(pair(ya,X1),trancl(r))
        | member(pair(y,X1),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f215,f174]) ).

fof(f174,plain,
    ( member(pair(y,ya),trancl(r))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f703,plain,
    ( spl0_63
    | ~ spl0_2
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f687,f590,f177,f700]) ).

fof(f700,plain,
    ( spl0_63
  <=> member(pair(ya,sk1(sk1(sk1(yp)))),trancl(trancl(r))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f687,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(ya,sk1(sk1(sk1(yp)))),trancl(trancl(r)))
    | ~ spl0_52 ),
    inference(resolution,[],[f592,f331]) ).

fof(f331,plain,
    ! [X10,X9] :
      ( ~ member(pair(sk1(X9),X10),trancl(r))
      | member(pair(ya,X10),trancl(trancl(r)))
      | ~ member(pair(y,X9),trancl(r)) ),
    inference(resolution,[],[f275,f157]) ).

fof(f679,plain,
    ( ~ spl0_3
    | spl0_62 ),
    inference(avatar_split_clause,[],[f675,f677,f182]) ).

fof(f677,plain,
    ( spl0_62
  <=> ! [X4,X5,X3] :
        ( member(pair(X3,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(trancl(r)))
        | ~ member(pair(y,X3),trancl(r))
        | ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(X4,sk1(X3)),r) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f675,plain,
    ! [X3,X4,X5] :
      ( member(pair(X3,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(trancl(r)))
      | ~ member(pair(X4,sk1(X3)),r)
      | ~ member(pair(X4,X5),trancl(r))
      | ~ member(pair(y,X3),trancl(r))
      | ~ diamond(r) ),
    inference(resolution,[],[f332,f152]) ).

fof(f672,plain,
    ( ~ spl0_3
    | spl0_61 ),
    inference(avatar_split_clause,[],[f668,f670,f182]) ).

fof(f670,plain,
    ( spl0_61
  <=> ! [X4,X5,X3] :
        ( member(pair(ya,diamond_strip_lemmaD_sk1(X3,X4,sk1(X5),r)),trancl(trancl(r)))
        | ~ member(pair(X3,sk1(X5)),r)
        | ~ member(pair(y,X5),trancl(r))
        | ~ member(pair(X3,X4),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f668,plain,
    ! [X3,X4,X5] :
      ( member(pair(ya,diamond_strip_lemmaD_sk1(X3,X4,sk1(X5),r)),trancl(trancl(r)))
      | ~ diamond(r)
      | ~ member(pair(X3,X4),trancl(r))
      | ~ member(pair(y,X5),trancl(r))
      | ~ member(pair(X3,sk1(X5)),r) ),
    inference(resolution,[],[f331,f152]) ).

fof(f665,plain,
    ( spl0_60
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f661,f172,f182,f663]) ).

fof(f663,plain,
    ( spl0_60
  <=> ! [X4,X5,X3] :
        ( ~ member(pair(X4,sk1(X3)),r)
        | member(pair(y,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(trancl(r)))
        | ~ member(pair(y,X3),trancl(r))
        | ~ member(pair(X4,X5),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f661,plain,
    ( ! [X3,X4,X5] :
        ( ~ diamond(r)
        | ~ member(pair(X4,sk1(X3)),r)
        | ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(y,X3),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(trancl(r))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f329,f152]) ).

fof(f658,plain,
    ( spl0_59
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f654,f172,f182,f656]) ).

fof(f656,plain,
    ( spl0_59
  <=> ! [X4,X5,X3] :
        ( ~ member(pair(y,X3),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r))
        | ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(X4,sk1(X3)),r) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f654,plain,
    ( ! [X3,X4,X5] :
        ( ~ diamond(r)
        | ~ member(pair(y,X3),trancl(r))
        | ~ member(pair(X4,sk1(X3)),r)
        | ~ member(pair(X4,X5),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f324,f152]) ).

fof(f324,plain,
    ( ! [X2,X3] :
        ( ~ member(pair(sk1(X2),X3),trancl(r))
        | ~ member(pair(y,X2),trancl(r))
        | member(pair(y,X3),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f260,f215]) ).

fof(f630,plain,
    ( ~ spl0_13
    | spl0_49 ),
    inference(avatar_split_clause,[],[f623,f561,f251]) ).

fof(f623,plain,
    ( ~ member(pair(y,sk1(yp)),trancl(r))
    | spl0_49 ),
    inference(resolution,[],[f563,f157]) ).

fof(f563,plain,
    ( ~ member(pair(ya,sk1(sk1(yp))),trancl(r))
    | spl0_49 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f629,plain,
    ( ~ spl0_58
    | spl0_49 ),
    inference(avatar_split_clause,[],[f624,f561,f626]) ).

fof(f626,plain,
    ( spl0_58
  <=> member(pair(ya,sk1(sk1(yp))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f624,plain,
    ( ~ member(pair(ya,sk1(sk1(yp))),r)
    | spl0_49 ),
    inference(resolution,[],[f563,f149]) ).

fof(f619,plain,
    ( spl0_56
    | ~ spl0_57
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f610,f187,f182,f172,f616,f613]) ).

fof(f613,plain,
    ( spl0_56
  <=> ! [X1] :
        ( member(pair(y,X1),trancl(r))
        | ~ member(pair(diamond_strip_lemmaD_sk1(ya,ya,z,r),X1),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f616,plain,
    ( spl0_57
  <=> member(pair(ya,ya),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f610,plain,
    ( ! [X1] :
        ( ~ member(pair(ya,ya),trancl(r))
        | member(pair(y,X1),trancl(r))
        | ~ member(pair(diamond_strip_lemmaD_sk1(ya,ya,z,r),X1),trancl(r)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f296,f216]) ).

fof(f296,plain,
    ( ! [X2,X3] :
        ( ~ member(pair(ya,X2),r)
        | ~ member(pair(X2,X3),trancl(r))
        | member(pair(y,X3),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f262,f215]) ).

fof(f262,plain,
    ( ! [X1] :
        ( member(pair(y,X1),trancl(r))
        | ~ member(pair(ya,X1),r) )
    | ~ spl0_1 ),
    inference(resolution,[],[f235,f149]) ).

fof(f608,plain,
    ( spl0_55
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f570,f307,f172,f605]) ).

fof(f605,plain,
    ( spl0_55
  <=> member(pair(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r),sk1(sk1(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f570,plain,
    ( member(pair(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r),sk1(sk1(diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)))),trancl(r))
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(resolution,[],[f362,f309]) ).

fof(f362,plain,
    ( ! [X0] :
        ( ~ member(pair(y,X0),trancl(r))
        | member(pair(X0,sk1(sk1(X0))),trancl(r)) )
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f357]) ).

fof(f357,plain,
    ( ! [X0] :
        ( ~ member(pair(y,X0),trancl(r))
        | member(pair(X0,sk1(sk1(X0))),trancl(r))
        | ~ member(pair(y,X0),trancl(r)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f284,f260]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ member(pair(y,sk1(X0)),trancl(r))
      | ~ member(pair(y,X0),trancl(r))
      | member(pair(X0,sk1(sk1(X0))),trancl(r)) ),
    inference(resolution,[],[f237,f158]) ).

fof(f603,plain,
    ( spl0_54
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f571,f172,f600]) ).

fof(f600,plain,
    ( spl0_54
  <=> member(pair(ya,sk1(sk1(ya))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f571,plain,
    ( member(pair(ya,sk1(sk1(ya))),trancl(r))
    | ~ spl0_1 ),
    inference(resolution,[],[f362,f174]) ).

fof(f598,plain,
    ( spl0_53
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f574,f392,f172,f595]) ).

fof(f595,plain,
    ( spl0_53
  <=> member(pair(sk1(sk1(yp)),sk1(sk1(sk1(sk1(yp))))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f574,plain,
    ( member(pair(sk1(sk1(yp)),sk1(sk1(sk1(sk1(yp))))),trancl(r))
    | ~ spl0_1
    | ~ spl0_26 ),
    inference(resolution,[],[f362,f394]) ).

fof(f394,plain,
    ( member(pair(y,sk1(sk1(yp))),trancl(r))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f593,plain,
    ( spl0_52
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f572,f251,f172,f590]) ).

fof(f572,plain,
    ( member(pair(sk1(yp),sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f362,f253]) ).

fof(f588,plain,
    ( spl0_51
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f575,f505,f172,f585]) ).

fof(f585,plain,
    ( spl0_51
  <=> member(pair(sk1(sk1(sk1(yp))),sk1(sk1(sk1(sk1(sk1(yp)))))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f505,plain,
    ( spl0_40
  <=> member(pair(y,sk1(sk1(sk1(yp)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f575,plain,
    ( member(pair(sk1(sk1(sk1(yp))),sk1(sk1(sk1(sk1(sk1(yp)))))),trancl(r))
    | ~ spl0_1
    | ~ spl0_40 ),
    inference(resolution,[],[f362,f507]) ).

fof(f507,plain,
    ( member(pair(y,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f583,plain,
    ( ~ spl0_3
    | spl0_50
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f579,f172,f581,f182]) ).

fof(f581,plain,
    ( spl0_50
  <=> ! [X4,X5] :
        ( ~ member(pair(X4,X5),trancl(r))
        | member(pair(diamond_strip_lemmaD_sk1(X4,X5,y,r),sk1(sk1(diamond_strip_lemmaD_sk1(X4,X5,y,r)))),trancl(r))
        | ~ member(pair(X4,y),r) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f579,plain,
    ( ! [X4,X5] :
        ( ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(X4,y),r)
        | member(pair(diamond_strip_lemmaD_sk1(X4,X5,y,r),sk1(sk1(diamond_strip_lemmaD_sk1(X4,X5,y,r)))),trancl(r))
        | ~ diamond(r) )
    | ~ spl0_1 ),
    inference(resolution,[],[f362,f152]) ).

fof(f564,plain,
    ( spl0_48
    | ~ spl0_49
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f554,f374,f187,f182,f561,f557]) ).

fof(f557,plain,
    ( spl0_48
  <=> member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(sk1(yp)),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f374,plain,
    ( spl0_24
  <=> member(pair(yp,sk1(sk1(yp))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f554,plain,
    ( ~ member(pair(ya,sk1(sk1(yp))),trancl(r))
    | member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(sk1(yp)),z,r)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(resolution,[],[f483,f216]) ).

fof(f483,plain,
    ( ! [X0] :
        ( ~ member(pair(sk1(sk1(yp)),X0),r)
        | member(pair(yp,X0),trancl(r)) )
    | ~ spl0_24 ),
    inference(resolution,[],[f384,f149]) ).

fof(f384,plain,
    ( ! [X1] :
        ( ~ member(pair(sk1(sk1(yp)),X1),trancl(r))
        | member(pair(yp,X1),trancl(r)) )
    | ~ spl0_24 ),
    inference(resolution,[],[f376,f215]) ).

fof(f376,plain,
    ( member(pair(yp,sk1(sk1(yp))),trancl(r))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f549,plain,
    ( ~ spl0_46
    | spl0_47
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f539,f187,f182,f546,f542]) ).

fof(f542,plain,
    ( spl0_46
  <=> member(pair(ya,z),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f546,plain,
    ( spl0_47
  <=> member(pair(ya,diamond_strip_lemmaD_sk1(ya,z,z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f539,plain,
    ( member(pair(ya,diamond_strip_lemmaD_sk1(ya,z,z,r)),trancl(r))
    | ~ member(pair(ya,z),trancl(r))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f335,f216]) ).

fof(f335,plain,
    ( ! [X22] :
        ( ~ member(pair(z,X22),r)
        | member(pair(ya,X22),trancl(r)) )
    | ~ spl0_4 ),
    inference(resolution,[],[f275,f189]) ).

fof(f538,plain,
    ( ~ spl0_45
    | ~ spl0_2
    | spl0_22 ),
    inference(avatar_split_clause,[],[f517,f365,f177,f535]) ).

fof(f535,plain,
    ( spl0_45
  <=> member(pair(yp,sk1(sk1(y))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f365,plain,
    ( spl0_22
  <=> member(pair(y,sk1(sk1(y))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f517,plain,
    ( ~ member(pair(yp,sk1(sk1(y))),r)
    | ~ spl0_2
    | spl0_22 ),
    inference(resolution,[],[f366,f248]) ).

fof(f248,plain,
    ( ! [X0] :
        ( member(pair(y,X0),trancl(r))
        | ~ member(pair(yp,X0),r) )
    | ~ spl0_2 ),
    inference(resolution,[],[f234,f149]) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ member(pair(yp,X0),trancl(r))
        | member(pair(y,X0),trancl(r)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f215,f179]) ).

fof(f179,plain,
    ( member(pair(y,yp),trancl(r))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f366,plain,
    ( ~ member(pair(y,sk1(sk1(y))),trancl(r))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f533,plain,
    ( ~ spl0_44
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f516,f365,f172,f530]) ).

fof(f530,plain,
    ( spl0_44
  <=> member(pair(ya,sk1(sk1(y))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f516,plain,
    ( ~ member(pair(ya,sk1(sk1(y))),r)
    | ~ spl0_1
    | spl0_22 ),
    inference(resolution,[],[f366,f262]) ).

fof(f528,plain,
    ( ~ spl0_43
    | spl0_22 ),
    inference(avatar_split_clause,[],[f518,f365,f525]) ).

fof(f525,plain,
    ( spl0_43
  <=> member(pair(y,sk1(sk1(y))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f518,plain,
    ( ~ member(pair(y,sk1(sk1(y))),r)
    | spl0_22 ),
    inference(resolution,[],[f366,f149]) ).

fof(f523,plain,
    ( ~ spl0_42
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f515,f365,f172,f520]) ).

fof(f520,plain,
    ( spl0_42
  <=> member(pair(y,sk1(y)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f515,plain,
    ( ~ member(pair(y,sk1(y)),trancl(r))
    | ~ spl0_1
    | spl0_22 ),
    inference(resolution,[],[f366,f260]) ).

fof(f514,plain,
    ( ~ spl0_41
    | spl0_39 ),
    inference(avatar_split_clause,[],[f509,f500,f511]) ).

fof(f511,plain,
    ( spl0_41
  <=> member(pair(z,sk1(sk1(sk1(yp)))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f500,plain,
    ( spl0_39
  <=> member(pair(z,sk1(sk1(sk1(yp)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f509,plain,
    ( ~ member(pair(z,sk1(sk1(sk1(yp)))),r)
    | spl0_39 ),
    inference(resolution,[],[f502,f149]) ).

fof(f502,plain,
    ( ~ member(pair(z,sk1(sk1(sk1(yp)))),trancl(r))
    | spl0_39 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f508,plain,
    ( spl0_40
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f494,f486,f177,f505]) ).

fof(f486,plain,
    ( spl0_37
  <=> member(pair(yp,sk1(sk1(sk1(yp)))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f494,plain,
    ( member(pair(y,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_2
    | ~ spl0_37 ),
    inference(resolution,[],[f488,f234]) ).

fof(f488,plain,
    ( member(pair(yp,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f503,plain,
    ( ~ spl0_39
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f495,f486,f500]) ).

fof(f495,plain,
    ( ~ member(pair(z,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ spl0_37 ),
    inference(resolution,[],[f488,f160]) ).

fof(f493,plain,
    ( spl0_38
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f484,f374,f182,f491]) ).

fof(f491,plain,
    ( spl0_38
  <=> ! [X2,X1] :
        ( ~ member(pair(X1,X2),trancl(r))
        | member(pair(yp,diamond_strip_lemmaD_sk1(X1,X2,sk1(sk1(yp)),r)),trancl(r))
        | ~ member(pair(X1,sk1(sk1(yp))),r) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f484,plain,
    ( ! [X2,X1] :
        ( ~ diamond(r)
        | ~ member(pair(X1,X2),trancl(r))
        | ~ member(pair(X1,sk1(sk1(yp))),r)
        | member(pair(yp,diamond_strip_lemmaD_sk1(X1,X2,sk1(sk1(yp)),r)),trancl(r)) )
    | ~ spl0_24 ),
    inference(resolution,[],[f384,f152]) ).

fof(f489,plain,
    ( ~ spl0_26
    | spl0_37
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f482,f374,f486,f392]) ).

fof(f482,plain,
    ( member(pair(yp,sk1(sk1(sk1(yp)))),trancl(r))
    | ~ member(pair(y,sk1(sk1(yp))),trancl(r))
    | ~ spl0_24 ),
    inference(resolution,[],[f384,f158]) ).

fof(f476,plain,
    ( ~ spl0_36
    | spl0_23 ),
    inference(avatar_split_clause,[],[f461,f369,f473]) ).

fof(f473,plain,
    ( spl0_36
  <=> member(pair(y,y),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f369,plain,
    ( spl0_23
  <=> member(pair(y,y),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f461,plain,
    ( ~ member(pair(y,y),r)
    | spl0_23 ),
    inference(resolution,[],[f371,f149]) ).

fof(f371,plain,
    ( ~ member(pair(y,y),trancl(r))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f471,plain,
    ( ~ spl0_35
    | ~ spl0_2
    | spl0_23 ),
    inference(avatar_split_clause,[],[f460,f369,f177,f468]) ).

fof(f468,plain,
    ( spl0_35
  <=> member(pair(yp,y),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f460,plain,
    ( ~ member(pair(yp,y),r)
    | ~ spl0_2
    | spl0_23 ),
    inference(resolution,[],[f371,f248]) ).

fof(f466,plain,
    ( ~ spl0_34
    | ~ spl0_1
    | spl0_23 ),
    inference(avatar_split_clause,[],[f459,f369,f172,f463]) ).

fof(f463,plain,
    ( spl0_34
  <=> member(pair(ya,y),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f459,plain,
    ( ~ member(pair(ya,y),r)
    | ~ spl0_1
    | spl0_23 ),
    inference(resolution,[],[f371,f262]) ).

fof(f454,plain,
    ( spl0_33
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f448,f311,f187,f182,f311,f451]) ).

fof(f451,plain,
    ( spl0_33
  <=> member(pair(ya,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f448,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | member(pair(ya,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(resolution,[],[f442,f216]) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ member(pair(sk1(yp),X0),r)
        | member(pair(ya,X0),trancl(r)) )
    | ~ spl0_20 ),
    inference(resolution,[],[f341,f149]) ).

fof(f447,plain,
    ( ~ spl0_3
    | spl0_32
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f443,f311,f445,f182]) ).

fof(f445,plain,
    ( spl0_32
  <=> ! [X2,X1] :
        ( member(pair(ya,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(r))
        | ~ member(pair(X1,sk1(yp)),r)
        | ~ member(pair(X1,X2),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f443,plain,
    ( ! [X2,X1] :
        ( member(pair(ya,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(r))
        | ~ diamond(r)
        | ~ member(pair(X1,X2),trancl(r))
        | ~ member(pair(X1,sk1(yp)),r) )
    | ~ spl0_20 ),
    inference(resolution,[],[f341,f152]) ).

fof(f437,plain,
    ( ~ spl0_20
    | spl0_31
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f431,f251,f187,f182,f434,f311]) ).

fof(f434,plain,
    ( spl0_31
  <=> member(pair(y,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(trancl(r))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f431,plain,
    ( member(pair(y,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(trancl(r)))
    | ~ member(pair(ya,sk1(yp)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(resolution,[],[f417,f216]) ).

fof(f417,plain,
    ( ! [X0] :
        ( ~ member(pair(sk1(yp),X0),r)
        | member(pair(y,X0),trancl(trancl(r))) )
    | ~ spl0_13 ),
    inference(resolution,[],[f328,f149]) ).

fof(f427,plain,
    ( ~ spl0_3
    | spl0_30
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f418,f251,f425,f182]) ).

fof(f425,plain,
    ( spl0_30
  <=> ! [X2,X1] :
        ( ~ member(pair(X1,sk1(yp)),r)
        | ~ member(pair(X1,X2),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(trancl(r))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f418,plain,
    ( ! [X2,X1] :
        ( ~ member(pair(X1,sk1(yp)),r)
        | ~ diamond(r)
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(trancl(r)))
        | ~ member(pair(X1,X2),trancl(r)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f328,f152]) ).

fof(f423,plain,
    ( ~ spl0_13
    | spl0_29
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f416,f251,f420,f251]) ).

fof(f420,plain,
    ( spl0_29
  <=> member(pair(y,sk1(sk1(yp))),trancl(trancl(r))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f416,plain,
    ( member(pair(y,sk1(sk1(yp))),trancl(trancl(r)))
    | ~ member(pair(y,sk1(yp)),trancl(r))
    | ~ spl0_13 ),
    inference(resolution,[],[f328,f158]) ).

fof(f415,plain,
    ( ~ spl0_3
    | spl0_28
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f411,f187,f182,f413,f182]) ).

fof(f413,plain,
    ( spl0_28
  <=> ! [X10,X11,X13,X12] :
        ( member(pair(X10,diamond_strip_lemmaD_sk1(X11,X10,diamond_strip_lemmaD_sk1(diamond_strip_lemmaD_sk1(X12,X13,ya,r),X11,diamond_strip_lemmaD_sk1(ya,diamond_strip_lemmaD_sk1(X12,X13,ya,r),z,r),r),r)),r)
        | ~ member(pair(X11,X10),trancl(r))
        | ~ member(pair(X12,ya),r)
        | ~ member(pair(X12,X13),trancl(r))
        | ~ member(pair(diamond_strip_lemmaD_sk1(X12,X13,ya,r),X11),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f411,plain,
    ( ! [X10,X11,X12,X13] :
        ( member(pair(X10,diamond_strip_lemmaD_sk1(X11,X10,diamond_strip_lemmaD_sk1(diamond_strip_lemmaD_sk1(X12,X13,ya,r),X11,diamond_strip_lemmaD_sk1(ya,diamond_strip_lemmaD_sk1(X12,X13,ya,r),z,r),r),r)),r)
        | ~ diamond(r)
        | ~ member(pair(diamond_strip_lemmaD_sk1(X12,X13,ya,r),X11),trancl(r))
        | ~ member(pair(X12,X13),trancl(r))
        | ~ member(pair(X12,ya),r)
        | ~ member(pair(X11,X10),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f291,f152]) ).

fof(f291,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(pair(ya,X0),trancl(r))
        | member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,diamond_strip_lemmaD_sk1(X0,X1,diamond_strip_lemmaD_sk1(ya,X0,z,r),r),r)),r)
        | ~ member(pair(X0,X1),trancl(r))
        | ~ member(pair(X1,X2),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f218,f209]) ).

fof(f218,plain,
    ( ! [X0,X1] :
        ( member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,diamond_strip_lemmaD_sk1(ya,X0,z,r),r)),r)
        | ~ member(pair(X0,X1),trancl(r))
        | ~ member(pair(ya,X0),trancl(r)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f216,f209]) ).

fof(f401,plain,
    ( ~ spl0_27
    | spl0_25 ),
    inference(avatar_split_clause,[],[f396,f387,f398]) ).

fof(f398,plain,
    ( spl0_27
  <=> member(pair(z,sk1(sk1(yp))),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f387,plain,
    ( spl0_25
  <=> member(pair(z,sk1(sk1(yp))),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f396,plain,
    ( ~ member(pair(z,sk1(sk1(yp))),r)
    | spl0_25 ),
    inference(resolution,[],[f389,f149]) ).

fof(f389,plain,
    ( ~ member(pair(z,sk1(sk1(yp))),trancl(r))
    | spl0_25 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f395,plain,
    ( spl0_26
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f381,f374,f177,f392]) ).

fof(f381,plain,
    ( member(pair(y,sk1(sk1(yp))),trancl(r))
    | ~ spl0_2
    | ~ spl0_24 ),
    inference(resolution,[],[f376,f234]) ).

fof(f390,plain,
    ( ~ spl0_25
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f382,f374,f387]) ).

fof(f382,plain,
    ( ~ member(pair(z,sk1(sk1(yp))),trancl(r))
    | ~ spl0_24 ),
    inference(resolution,[],[f376,f160]) ).

fof(f377,plain,
    ( spl0_24
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f356,f251,f177,f374]) ).

fof(f356,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | member(pair(yp,sk1(sk1(yp))),trancl(r))
    | ~ spl0_13 ),
    inference(resolution,[],[f284,f253]) ).

fof(f372,plain,
    ( spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f363,f369,f365]) ).

fof(f363,plain,
    ( ~ member(pair(y,y),trancl(r))
    | member(pair(y,sk1(sk1(y))),trancl(r)) ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f360,plain,
    ( ~ member(pair(y,y),trancl(r))
    | ~ member(pair(y,y),trancl(r))
    | member(pair(y,sk1(sk1(y))),trancl(r)) ),
    inference(resolution,[],[f284,f158]) ).

fof(f322,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f315,f311,f177]) ).

fof(f315,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | spl0_20 ),
    inference(resolution,[],[f313,f157]) ).

fof(f313,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f321,plain,
    ( ~ spl0_21
    | spl0_20 ),
    inference(avatar_split_clause,[],[f316,f311,f318]) ).

fof(f318,plain,
    ( spl0_21
  <=> member(pair(ya,sk1(yp)),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f316,plain,
    ( ~ member(pair(ya,sk1(yp)),r)
    | spl0_20 ),
    inference(resolution,[],[f313,f149]) ).

fof(f314,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f304,f251,f187,f182,f311,f307]) ).

fof(f304,plain,
    ( ~ member(pair(ya,sk1(yp)),trancl(r))
    | member(pair(y,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(resolution,[],[f298,f216]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ member(pair(sk1(yp),X0),r)
        | member(pair(y,X0),trancl(r)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f259,f149]) ).

fof(f259,plain,
    ( ! [X0] :
        ( ~ member(pair(sk1(yp),X0),trancl(r))
        | member(pair(y,X0),trancl(r)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f253,f215]) ).

fof(f303,plain,
    ( ~ spl0_3
    | spl0_18
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f299,f251,f301,f182]) ).

fof(f301,plain,
    ( spl0_18
  <=> ! [X2,X1] :
        ( ~ member(pair(X1,sk1(yp)),r)
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(r))
        | ~ member(pair(X1,X2),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f299,plain,
    ( ! [X2,X1] :
        ( ~ member(pair(X1,sk1(yp)),r)
        | ~ member(pair(X1,X2),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,sk1(yp),r)),trancl(r))
        | ~ diamond(r) )
    | ~ spl0_13 ),
    inference(resolution,[],[f259,f152]) ).

fof(f290,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f286,f182,f288]) ).

fof(f288,plain,
    ( spl0_17
  <=> ! [X4,X5,X3] :
        ( ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(X4,sk1(X3)),r)
        | ~ member(pair(y,X3),trancl(r))
        | member(pair(X3,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f286,plain,
    ! [X3,X4,X5] :
      ( ~ diamond(r)
      | ~ member(pair(X4,X5),trancl(r))
      | member(pair(X3,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r))
      | ~ member(pair(y,X3),trancl(r))
      | ~ member(pair(X4,sk1(X3)),r) ),
    inference(resolution,[],[f237,f152]) ).

fof(f283,plain,
    ( ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f279,f281,f182]) ).

fof(f281,plain,
    ( spl0_16
  <=> ! [X4,X5,X3] :
        ( ~ member(pair(X4,sk1(X3)),r)
        | member(pair(ya,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r))
        | ~ member(pair(X4,X5),trancl(r))
        | ~ member(pair(y,X3),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f279,plain,
    ! [X3,X4,X5] :
      ( ~ member(pair(X4,sk1(X3)),r)
      | ~ member(pair(y,X3),trancl(r))
      | ~ diamond(r)
      | ~ member(pair(X4,X5),trancl(r))
      | member(pair(ya,diamond_strip_lemmaD_sk1(X4,X5,sk1(X3),r)),trancl(r)) ),
    inference(resolution,[],[f236,f152]) ).

fof(f267,plain,
    ( ~ spl0_3
    | spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f263,f172,f265,f182]) ).

fof(f265,plain,
    ( spl0_15
  <=> ! [X2,X3] :
        ( ~ member(pair(X2,ya),r)
        | ~ member(pair(X2,X3),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X2,X3,ya,r)),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f263,plain,
    ( ! [X2,X3] :
        ( ~ member(pair(X2,ya),r)
        | member(pair(y,diamond_strip_lemmaD_sk1(X2,X3,ya,r)),trancl(r))
        | ~ member(pair(X2,X3),trancl(r))
        | ~ diamond(r) )
    | ~ spl0_1 ),
    inference(resolution,[],[f235,f152]) ).

fof(f258,plain,
    ( ~ spl0_3
    | spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f249,f177,f256,f182]) ).

fof(f256,plain,
    ( spl0_14
  <=> ! [X2,X1] :
        ( ~ member(pair(X1,yp),r)
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,yp,r)),trancl(r))
        | ~ member(pair(X1,X2),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f249,plain,
    ( ! [X2,X1] :
        ( ~ member(pair(X1,yp),r)
        | ~ diamond(r)
        | ~ member(pair(X1,X2),trancl(r))
        | member(pair(y,diamond_strip_lemmaD_sk1(X1,X2,yp,r)),trancl(r)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f234,f152]) ).

fof(f254,plain,
    ( ~ spl0_2
    | spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f247,f177,f251,f177]) ).

fof(f247,plain,
    ( member(pair(y,sk1(yp)),trancl(r))
    | ~ member(pair(y,yp),trancl(r))
    | ~ spl0_2 ),
    inference(resolution,[],[f234,f158]) ).

fof(f246,plain,
    ( ~ spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f240,f224,f243]) ).

fof(f243,plain,
    ( spl0_12
  <=> member(pair(z,diamond_strip_lemmaD_sk1(ya,yp,z,r)),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f224,plain,
    ( spl0_10
  <=> member(pair(z,diamond_strip_lemmaD_sk1(ya,yp,z,r)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f240,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,yp,z,r)),r)
    | spl0_10 ),
    inference(resolution,[],[f226,f149]) ).

fof(f226,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,yp,z,r)),trancl(r))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f233,plain,
    ( ~ spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f228,f220,f230]) ).

fof(f230,plain,
    ( spl0_11
  <=> member(pair(ya,yp),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f220,plain,
    ( spl0_9
  <=> member(pair(ya,yp),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f228,plain,
    ( ~ member(pair(ya,yp),r)
    | spl0_9 ),
    inference(resolution,[],[f222,f149]) ).

fof(f222,plain,
    ( ~ member(pair(ya,yp),trancl(r))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f227,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f217,f187,f182,f224,f220]) ).

fof(f217,plain,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,yp,z,r)),trancl(r))
    | ~ member(pair(ya,yp),trancl(r))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f216,f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ member(pair(yp,X0),r)
      | ~ member(pair(z,X0),trancl(r)) ),
    inference(resolution,[],[f149,f160]) ).

fof(f214,plain,
    ( ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f210,f212,f182]) ).

fof(f212,plain,
    ( spl0_8
  <=> ! [X0,X1] :
        ( ~ member(pair(X0,yp),r)
        | ~ member(pair(z,diamond_strip_lemmaD_sk1(X0,X1,yp,r)),trancl(r))
        | ~ member(pair(X0,X1),trancl(r)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ member(pair(X0,yp),r)
      | ~ diamond(r)
      | ~ member(pair(X0,X1),trancl(r))
      | ~ member(pair(z,diamond_strip_lemmaD_sk1(X0,X1,yp,r)),trancl(r)) ),
    inference(resolution,[],[f152,f160]) ).

fof(f208,plain,
    ( ~ spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f203,f198,f205]) ).

fof(f205,plain,
    ( spl0_7
  <=> member(pair(z,sk1(yp)),r) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f198,plain,
    ( spl0_6
  <=> member(pair(z,sk1(yp)),trancl(r)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f203,plain,
    ( ~ member(pair(z,sk1(yp)),r)
    | spl0_6 ),
    inference(resolution,[],[f149,f200]) ).

fof(f200,plain,
    ( ~ member(pair(z,sk1(yp)),trancl(r))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f201,plain,
    ( ~ spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f177,f198]) ).

fof(f196,plain,
    ( ~ member(pair(y,yp),trancl(r))
    | ~ member(pair(z,sk1(yp)),trancl(r)) ),
    inference(resolution,[],[f158,f160]) ).

fof(f195,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f143,f192]) ).

fof(f192,plain,
    ( spl0_5
  <=> combK = combS ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f143,axiom,
    combK != combS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_s) ).

fof(f190,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f156,f187]) ).

fof(f156,axiom,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

fof(f185,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f154,f182]) ).

fof(f154,axiom,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

fof(f180,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f159,f177]) ).

fof(f159,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

fof(f175,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f155,f172]) ).

fof(f155,axiom,
    member(pair(y,ya),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : COL100-2 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31  % Computer : n009.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Mon Aug 29 17:08:50 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.46  % (14738)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)
% 0.15/0.48  % (14733)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)
% 0.15/0.48  % (14746)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)
% 0.15/0.48  % (14754)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)
% 0.15/0.49  % (14740)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49  % (14744)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.50  TRYING [1]
% 0.15/0.50  % (14742)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  TRYING [2]
% 0.15/0.50  % (14741)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)
% 0.15/0.50  % (14743)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)
% 0.15/0.50  % (14755)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)
% 0.15/0.50  % (14752)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)
% 0.15/0.50  % (14732)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)
% 0.15/0.50  % (14747)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)
% 0.15/0.51  % (14760)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.52  % (14740)Instruction limit reached!
% 0.15/0.52  % (14740)------------------------------
% 0.15/0.52  % (14740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (14740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (14740)Termination reason: Unknown
% 0.15/0.52  % (14740)Termination phase: Property scanning
% 0.15/0.52  
% 0.15/0.52  % (14740)Memory used [KB]: 1023
% 0.15/0.52  % (14740)Time elapsed: 0.004 s
% 0.15/0.52  % (14740)Instructions burned: 3 (million)
% 0.15/0.52  % (14740)------------------------------
% 0.15/0.52  % (14740)------------------------------
% 0.15/0.52  % (14737)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)
% 0.15/0.52  % (14735)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)
% 0.15/0.52  % (14739)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.53  % (14733)Refutation not found, incomplete strategy% (14733)------------------------------
% 0.15/0.53  % (14733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (14736)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53  % (14753)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.53  % (14733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (14733)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.53  
% 0.15/0.53  % (14733)Memory used [KB]: 5756
% 0.15/0.53  % (14733)Time elapsed: 0.162 s
% 0.15/0.53  % (14733)Instructions burned: 13 (million)
% 0.15/0.53  % (14733)------------------------------
% 0.15/0.53  % (14733)------------------------------
% 0.15/0.54  % (14738)Instruction limit reached!
% 0.15/0.54  % (14738)------------------------------
% 0.15/0.54  % (14738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (14738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (14738)Termination reason: Unknown
% 0.15/0.54  % (14738)Termination phase: Finite model building SAT solving
% 0.15/0.54  
% 0.15/0.54  % (14738)Memory used [KB]: 8443
% 0.15/0.54  % (14738)Time elapsed: 0.139 s
% 0.15/0.54  % (14738)Instructions burned: 52 (million)
% 0.15/0.54  % (14738)------------------------------
% 0.15/0.54  % (14738)------------------------------
% 0.15/0.54  % (14757)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.54  % (14759)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)
% 0.15/0.54  % (14745)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54  % (14734)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)
% 0.15/0.54  % (14758)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)
% 0.15/0.54  % (14761)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)
% 0.15/0.54  % (14739)Instruction limit reached!
% 0.15/0.54  % (14739)------------------------------
% 0.15/0.54  % (14739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (14739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (14739)Termination reason: Unknown
% 0.15/0.54  % (14739)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (14739)Memory used [KB]: 5628
% 0.15/0.54  % (14739)Time elapsed: 0.125 s
% 0.15/0.54  % (14739)Instructions burned: 8 (million)
% 0.15/0.54  % (14739)------------------------------
% 0.15/0.54  % (14739)------------------------------
% 0.15/0.54  % (14749)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.54  % (14751)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)
% 0.15/0.55  % (14750)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.78/0.55  TRYING [1]
% 1.78/0.55  TRYING [2]
% 1.78/0.56  % (14756)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.92/0.59  % (14748)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)
% 1.92/0.60  TRYING [1]
% 1.92/0.60  TRYING [2]
% 1.92/0.61  % (14734)Instruction limit reached!
% 1.92/0.61  % (14734)------------------------------
% 1.92/0.61  % (14734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61  % (14741)Instruction limit reached!
% 1.92/0.61  % (14741)------------------------------
% 1.92/0.61  % (14741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61  % (14741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61  % (14741)Termination reason: Unknown
% 1.92/0.61  % (14741)Termination phase: Saturation
% 1.92/0.61  
% 1.92/0.61  % (14741)Memory used [KB]: 2174
% 1.92/0.61  % (14741)Time elapsed: 0.246 s
% 1.92/0.61  % (14741)Instructions burned: 51 (million)
% 1.92/0.61  % (14741)------------------------------
% 1.92/0.61  % (14741)------------------------------
% 1.92/0.64  % (14734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14734)Termination reason: Unknown
% 1.92/0.64  % (14734)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14734)Memory used [KB]: 1535
% 1.92/0.64  % (14734)Time elapsed: 0.230 s
% 1.92/0.64  % (14734)Instructions burned: 38 (million)
% 1.92/0.64  % (14734)------------------------------
% 1.92/0.64  % (14734)------------------------------
% 1.92/0.64  % (14737)Instruction limit reached!
% 1.92/0.64  % (14737)------------------------------
% 1.92/0.64  % (14737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (14742)Instruction limit reached!
% 1.92/0.64  % (14742)------------------------------
% 1.92/0.64  % (14742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (14735)Instruction limit reached!
% 1.92/0.64  % (14735)------------------------------
% 1.92/0.64  % (14735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (14735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14735)Termination reason: Unknown
% 1.92/0.64  % (14735)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14735)Memory used [KB]: 6268
% 1.92/0.64  % (14735)Time elapsed: 0.264 s
% 1.92/0.64  % (14735)Instructions burned: 51 (million)
% 1.92/0.64  % (14735)------------------------------
% 1.92/0.64  % (14735)------------------------------
% 1.92/0.64  % (14746)Instruction limit reached!
% 1.92/0.64  % (14746)------------------------------
% 1.92/0.64  % (14746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (14746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14746)Termination reason: Unknown
% 1.92/0.64  % (14746)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14746)Memory used [KB]: 6908
% 1.92/0.64  % (14746)Time elapsed: 0.055 s
% 1.92/0.64  % (14746)Instructions burned: 69 (million)
% 1.92/0.64  % (14746)------------------------------
% 1.92/0.64  % (14746)------------------------------
% 1.92/0.64  % (14736)Instruction limit reached!
% 1.92/0.64  % (14736)------------------------------
% 1.92/0.64  % (14736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (14736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14736)Termination reason: Unknown
% 1.92/0.64  % (14736)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14736)Memory used [KB]: 6396
% 1.92/0.64  % (14736)Time elapsed: 0.272 s
% 1.92/0.64  % (14736)Instructions burned: 51 (million)
% 1.92/0.64  % (14736)------------------------------
% 1.92/0.64  % (14736)------------------------------
% 1.92/0.64  % (14737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14737)Termination reason: Unknown
% 1.92/0.64  % (14737)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14737)Memory used [KB]: 6140
% 1.92/0.64  % (14737)Time elapsed: 0.262 s
% 1.92/0.64  % (14737)Instructions burned: 48 (million)
% 1.92/0.64  % (14737)------------------------------
% 1.92/0.64  % (14737)------------------------------
% 1.92/0.64  % (14742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (14742)Termination reason: Unknown
% 1.92/0.64  % (14742)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (14742)Memory used [KB]: 6780
% 1.92/0.64  % (14742)Time elapsed: 0.261 s
% 1.92/0.64  % (14742)Instructions burned: 50 (million)
% 1.92/0.64  % (14742)------------------------------
% 1.92/0.64  % (14742)------------------------------
% 1.92/0.65  % (14749)Instruction limit reached!
% 1.92/0.65  % (14749)------------------------------
% 1.92/0.65  % (14749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (14749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (14749)Termination reason: Unknown
% 1.92/0.65  % (14749)Termination phase: Finite model building SAT solving
% 1.92/0.65  
% 1.92/0.65  % (14749)Memory used [KB]: 8443
% 1.92/0.65  % (14749)Time elapsed: 0.241 s
% 1.92/0.65  % (14749)Instructions burned: 59 (million)
% 1.92/0.65  % (14749)------------------------------
% 1.92/0.65  % (14749)------------------------------
% 2.70/0.69  TRYING [3]
% 2.70/0.70  % (14747)Instruction limit reached!
% 2.70/0.70  % (14747)------------------------------
% 2.70/0.70  % (14747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.70  % (14747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.70  % (14747)Termination reason: Unknown
% 2.70/0.70  % (14747)Termination phase: Saturation
% 2.70/0.70  
% 2.70/0.70  % (14747)Memory used [KB]: 2302
% 2.70/0.70  % (14747)Time elapsed: 0.290 s
% 2.70/0.70  % (14747)Instructions burned: 75 (million)
% 2.70/0.70  % (14747)------------------------------
% 2.70/0.70  % (14747)------------------------------
% 2.70/0.72  % (14758)Instruction limit reached!
% 2.70/0.72  % (14758)------------------------------
% 2.70/0.72  % (14758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.72  % (14758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.72  % (14758)Termination reason: Unknown
% 2.70/0.72  % (14758)Termination phase: Saturation
% 2.70/0.72  
% 2.70/0.72  % (14758)Memory used [KB]: 6908
% 2.70/0.72  % (14758)Time elapsed: 0.054 s
% 2.70/0.72  % (14758)Instructions burned: 69 (million)
% 2.70/0.72  % (14758)------------------------------
% 2.70/0.72  % (14758)------------------------------
% 2.93/0.73  % (14762)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 (2997ds/388Mi)
% 2.93/0.74  % (14763)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 (2997ds/211Mi)
% 2.93/0.74  % (14743)Instruction limit reached!
% 2.93/0.74  % (14743)------------------------------
% 2.93/0.74  % (14743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.74  % (14743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.74  % (14743)Termination reason: Unknown
% 2.93/0.74  % (14743)Termination phase: Saturation
% 2.93/0.74  
% 2.93/0.74  % (14743)Memory used [KB]: 7291
% 2.93/0.74  % (14743)Time elapsed: 0.379 s
% 2.93/0.74  % (14743)Instructions burned: 101 (million)
% 2.93/0.74  % (14743)------------------------------
% 2.93/0.74  % (14743)------------------------------
% 2.93/0.75  % (14764)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)
% 3.05/0.75  % (14744)Instruction limit reached!
% 3.05/0.75  % (14744)------------------------------
% 3.05/0.75  % (14744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.75  % (14744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.75  % (14744)Termination reason: Unknown
% 3.05/0.75  % (14744)Termination phase: Saturation
% 3.05/0.75  
% 3.05/0.75  % (14744)Memory used [KB]: 6780
% 3.05/0.75  % (14744)Time elapsed: 0.360 s
% 3.05/0.75  % (14744)Instructions burned: 102 (million)
% 3.05/0.75  % (14744)------------------------------
% 3.05/0.75  % (14744)------------------------------
% 3.05/0.78  % (14745)Instruction limit reached!
% 3.05/0.78  % (14745)------------------------------
% 3.05/0.78  % (14745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.78  % (14745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.78  % (14745)Termination reason: Unknown
% 3.05/0.78  % (14745)Termination phase: Saturation
% 3.05/0.78  
% 3.05/0.78  % (14745)Memory used [KB]: 7036
% 3.05/0.78  % (14745)Time elapsed: 0.407 s
% 3.05/0.78  % (14745)Instructions burned: 99 (million)
% 3.05/0.78  % (14745)------------------------------
% 3.05/0.78  % (14745)------------------------------
% 3.05/0.78  % (14750)Instruction limit reached!
% 3.05/0.78  % (14750)------------------------------
% 3.05/0.78  % (14750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.78  % (14750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.78  % (14750)Termination reason: Unknown
% 3.05/0.78  % (14750)Termination phase: Saturation
% 3.05/0.78  
% 3.05/0.78  % (14750)Memory used [KB]: 7419
% 3.05/0.78  % (14750)Time elapsed: 0.412 s
% 3.05/0.78  % (14750)Instructions burned: 100 (million)
% 3.05/0.78  % (14750)------------------------------
% 3.05/0.78  % (14750)------------------------------
% 3.05/0.79  % (14751)Instruction limit reached!
% 3.05/0.79  % (14751)------------------------------
% 3.05/0.79  % (14751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.79  % (14751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.79  % (14751)Termination reason: Unknown
% 3.05/0.79  % (14751)Termination phase: Saturation
% 3.05/0.79  
% 3.05/0.79  % (14751)Memory used [KB]: 2302
% 3.05/0.79  % (14751)Time elapsed: 0.399 s
% 3.05/0.79  % (14751)Instructions burned: 100 (million)
% 3.05/0.79  % (14751)------------------------------
% 3.05/0.79  % (14751)------------------------------
% 3.05/0.79  % (14765)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.34/0.82  % (14768)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 (2996ds/655Mi)
% 3.34/0.83  % (14772)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 (2996ds/90Mi)
% 3.34/0.84  % (14748)Instruction limit reached!
% 3.34/0.84  % (14748)------------------------------
% 3.34/0.84  % (14748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.84  % (14748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.84  % (14748)Termination reason: Unknown
% 3.34/0.84  % (14748)Termination phase: Saturation
% 3.34/0.84  
% 3.34/0.84  % (14748)Memory used [KB]: 6652
% 3.34/0.84  % (14748)Time elapsed: 0.432 s
% 3.34/0.84  % (14748)Instructions burned: 99 (million)
% 3.34/0.84  % (14748)------------------------------
% 3.34/0.84  % (14748)------------------------------
% 3.34/0.85  % (14770)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 (2996ds/940Mi)
% 3.34/0.85  % (14766)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.34/0.86  % (14773)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 (2996ds/2016Mi)
% 3.34/0.86  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.34/0.86  % (14771)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 (2996ds/981Mi)
% 3.51/0.88  % (14753)Instruction limit reached!
% 3.51/0.88  % (14753)------------------------------
% 3.51/0.88  % (14753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.88  % (14753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.88  % (14753)Termination reason: Unknown
% 3.51/0.88  % (14753)Termination phase: Saturation
% 3.51/0.88  
% 3.51/0.88  % (14753)Memory used [KB]: 8443
% 3.51/0.88  % (14753)Time elapsed: 0.502 s
% 3.51/0.88  % (14753)Instructions burned: 138 (million)
% 3.51/0.88  % (14753)------------------------------
% 3.51/0.88  % (14753)------------------------------
% 3.51/0.88  % (14769)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)
% 3.51/0.89  % (14774)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.51/0.89  % (14767)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 (2996ds/747Mi)
% 3.51/0.90  % (14775)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 (2996ds/4958Mi)
% 3.51/0.92  % (14764)Instruction limit reached!
% 3.51/0.92  % (14764)------------------------------
% 3.51/0.92  % (14764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.93  % (14764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.93  % (14764)Termination reason: Unknown
% 3.51/0.93  % (14764)Termination phase: Saturation
% 3.51/0.93  
% 3.51/0.93  % (14764)Memory used [KB]: 7164
% 3.51/0.93  % (14764)Time elapsed: 0.319 s
% 3.51/0.93  % (14764)Instructions burned: 91 (million)
% 3.51/0.93  % (14764)------------------------------
% 3.51/0.93  % (14764)------------------------------
% 3.85/0.96  % (14779)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 (2995ds/68Mi)
% 3.85/0.96  % (14776)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.85/0.97  % (14752)Instruction limit reached!
% 3.85/0.97  % (14752)------------------------------
% 3.85/0.97  % (14752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.85/0.97  % (14752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.85/0.97  % (14752)Termination reason: Unknown
% 3.85/0.97  % (14752)Termination phase: Saturation
% 3.85/0.97  
% 3.85/0.97  % (14752)Memory used [KB]: 8315
% 3.85/0.97  % (14752)Time elapsed: 0.590 s
% 3.85/0.97  % (14752)Instructions burned: 176 (million)
% 3.85/0.97  % (14752)------------------------------
% 3.85/0.97  % (14752)------------------------------
% 3.93/1.00  % (14777)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.93/1.00  % (14759)Instruction limit reached!
% 3.93/1.00  % (14759)------------------------------
% 3.93/1.00  % (14759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/1.00  % (14759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/1.00  % (14759)Termination reason: Unknown
% 3.93/1.00  % (14759)Termination phase: Saturation
% 3.93/1.00  
% 3.93/1.00  % (14759)Memory used [KB]: 4221
% 3.93/1.00  % (14759)Time elapsed: 0.609 s
% 3.93/1.00  % (14759)Instructions burned: 178 (million)
% 3.93/1.00  % (14759)------------------------------
% 3.93/1.00  % (14759)------------------------------
% 3.93/1.01  % (14778)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 (2995ds/4931Mi)
% 3.93/1.01  % (14780)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 (2995ds/1824Mi)
% 3.93/1.02  % (14772)Instruction limit reached!
% 3.93/1.02  % (14772)------------------------------
% 3.93/1.02  % (14772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/1.02  % (14772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/1.02  % (14772)Termination reason: Unknown
% 3.93/1.02  % (14772)Termination phase: Saturation
% 3.93/1.02  
% 3.93/1.02  % (14772)Memory used [KB]: 7291
% 3.93/1.02  % (14772)Time elapsed: 0.267 s
% 3.93/1.02  % (14772)Instructions burned: 90 (million)
% 3.93/1.02  % (14772)------------------------------
% 3.93/1.02  % (14772)------------------------------
% 4.20/1.05  % (14769)Instruction limit reached!
% 4.20/1.05  % (14769)------------------------------
% 4.20/1.05  % (14769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.20/1.05  % (14769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.20/1.05  % (14769)Termination reason: Unknown
% 4.20/1.05  % (14769)Termination phase: Saturation
% 4.20/1.05  
% 4.20/1.05  % (14769)Memory used [KB]: 6908
% 4.20/1.05  % (14769)Time elapsed: 0.053 s
% 4.20/1.05  % (14769)Instructions burned: 69 (million)
% 4.20/1.05  % (14769)------------------------------
% 4.20/1.05  % (14769)------------------------------
% 5.83/1.11  % (14763)Instruction limit reached!
% 5.83/1.11  % (14763)------------------------------
% 5.83/1.11  % (14763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.83/1.11  % (14763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.83/1.11  % (14763)Termination reason: Unknown
% 5.83/1.11  % (14763)Termination phase: Saturation
% 5.83/1.11  
% 5.83/1.11  % (14763)Memory used [KB]: 3582
% 5.83/1.11  % (14763)Time elapsed: 0.510 s
% 5.83/1.11  % (14763)Instructions burned: 212 (million)
% 5.83/1.11  % (14763)------------------------------
% 5.83/1.11  % (14763)------------------------------
% 5.83/1.11  % (14781)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 (2994ds/2134Mi)
% 5.83/1.11  % (14783)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 5.83/1.13  % (14779)Instruction limit reached!
% 5.83/1.13  % (14779)------------------------------
% 5.83/1.13  % (14779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.83/1.13  % (14779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.83/1.13  % (14779)Termination reason: Unknown
% 5.83/1.13  % (14779)Termination phase: Saturation
% 5.83/1.13  
% 5.83/1.13  % (14779)Memory used [KB]: 7036
% 5.83/1.13  % (14779)Time elapsed: 0.040 s
% 5.83/1.13  % (14779)Instructions burned: 70 (million)
% 5.83/1.13  % (14779)------------------------------
% 5.83/1.13  % (14779)------------------------------
% 5.83/1.14  % (14782)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 6.45/1.18  % (14784)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 (2993ds/90Mi)
% 6.83/1.23  % (14785)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 (2993ds/2016Mi)
% 7.20/1.26  % (14786)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.20/1.29  % (14787)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 (2992ds/9965Mi)
% 7.54/1.32  % (14788)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.91/1.36  % (14784)Instruction limit reached!
% 7.91/1.36  % (14784)------------------------------
% 7.91/1.36  % (14784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.91/1.36  % (14784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.91/1.36  % (14784)Termination reason: Unknown
% 7.91/1.36  % (14784)Termination phase: Saturation
% 7.91/1.36  
% 7.91/1.36  % (14784)Memory used [KB]: 7164
% 7.91/1.36  % (14784)Time elapsed: 0.263 s
% 7.91/1.36  % (14784)Instructions burned: 90 (million)
% 7.91/1.36  % (14784)------------------------------
% 7.91/1.36  % (14784)------------------------------
% 7.91/1.36  % (14754)Instruction limit reached!
% 7.91/1.36  % (14754)------------------------------
% 7.91/1.36  % (14754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.91/1.36  % (14754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.91/1.36  % (14754)Termination reason: Unknown
% 7.91/1.36  % (14754)Termination phase: Saturation
% 7.91/1.36  
% 7.91/1.36  % (14754)Memory used [KB]: 4349
% 7.91/1.36  % (14754)Time elapsed: 0.993 s
% 7.91/1.36  % (14754)Instructions burned: 498 (million)
% 7.91/1.36  % (14754)------------------------------
% 7.91/1.36  % (14754)------------------------------
% 7.91/1.38  % (14789)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 (2991ds/9902Mi)
% 7.91/1.41  % (14760)Instruction limit reached!
% 7.91/1.41  % (14760)------------------------------
% 7.91/1.41  % (14760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.91/1.41  % (14760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.91/1.41  % (14760)Termination reason: Unknown
% 7.91/1.41  % (14760)Termination phase: Saturation
% 7.91/1.41  
% 7.91/1.41  % (14760)Memory used [KB]: 10874
% 7.91/1.41  % (14760)Time elapsed: 1.040 s
% 7.91/1.41  % (14760)Instructions burned: 439 (million)
% 7.91/1.41  % (14760)------------------------------
% 7.91/1.41  % (14760)------------------------------
% 8.88/1.50  % (14761)Instruction limit reached!
% 8.88/1.50  % (14761)------------------------------
% 8.88/1.50  % (14761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.88/1.50  % (14761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.88/1.50  % (14761)Termination reason: Unknown
% 8.88/1.50  % (14761)Termination phase: Saturation
% 8.88/1.50  
% 8.88/1.50  % (14761)Memory used [KB]: 12665
% 8.88/1.50  % (14761)Time elapsed: 1.131 s
% 8.88/1.50  % (14761)Instructions burned: 355 (million)
% 8.88/1.50  % (14761)------------------------------
% 8.88/1.50  % (14761)------------------------------
% 8.88/1.51  % (14762)Instruction limit reached!
% 8.88/1.51  % (14762)------------------------------
% 8.88/1.51  % (14762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.88/1.51  % (14762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.88/1.51  % (14762)Termination reason: Unknown
% 8.88/1.51  % (14762)Termination phase: Saturation
% 8.88/1.51  
% 8.88/1.51  % (14762)Memory used [KB]: 8955
% 8.88/1.51  % (14762)Time elapsed: 0.936 s
% 8.88/1.51  % (14762)Instructions burned: 388 (million)
% 8.88/1.51  % (14762)------------------------------
% 8.88/1.51  % (14762)------------------------------
% 8.88/1.53  % (14780)First to succeed.
% 8.88/1.54  % (14792)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 (2989ds/1824Mi)
% 8.88/1.54  % (14793)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 9.16/1.55  % (14794)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9707Mi)
% 9.17/1.56  % (14780)Refutation found. Thanks to Tanya!
% 9.17/1.56  % SZS status Unsatisfiable for theBenchmark
% 9.17/1.56  % SZS output start Proof for theBenchmark
% See solution above
% 9.17/1.56  % (14780)------------------------------
% 9.17/1.56  % (14780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.17/1.56  % (14780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.17/1.56  % (14780)Termination reason: Refutation
% 9.17/1.56  
% 9.17/1.56  % (14780)Memory used [KB]: 2046
% 9.17/1.56  % (14780)Time elapsed: 0.681 s
% 9.17/1.56  % (14780)Instructions burned: 224 (million)
% 9.17/1.56  % (14780)------------------------------
% 9.17/1.56  % (14780)------------------------------
% 9.17/1.56  % (14731)Success in time 1.24 s
%------------------------------------------------------------------------------