TSTP Solution File: HWV023-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Tue Apr 30 12:23:11 EDT 2024

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  228
% Syntax   : Number of formulae    :  436 ( 105 unt;   0 def)
%            Number of atoms       : 1462 ( 179 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives : 1624 ( 598   ~; 891   |;   0   &)
%                                         ( 135 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  149 ( 147 usr; 136 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  402 ( 402   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1253,plain,
    $false,
    inference(avatar_sat_refutation,[],[f104,f109,f114,f119,f124,f128,f132,f136,f140,f144,f150,f154,f158,f163,f167,f171,f175,f179,f183,f195,f201,f206,f210,f214,f218,f222,f227,f231,f235,f253,f257,f261,f265,f269,f273,f277,f295,f317,f321,f337,f342,f346,f350,f354,f358,f383,f387,f391,f395,f413,f417,f421,f426,f430,f434,f438,f442,f446,f450,f454,f458,f509,f518,f522,f539,f543,f547,f551,f555,f565,f593,f597,f601,f605,f609,f649,f653,f657,f661,f694,f698,f702,f706,f710,f714,f718,f723,f727,f731,f735,f843,f852,f856,f860,f875,f880,f884,f917,f921,f925,f949,f1000,f1004,f1008,f1012,f1016,f1020,f1024,f1028,f1037,f1041,f1069,f1092,f1096,f1100,f1104,f1153,f1157,f1170,f1203,f1207,f1217,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1252]) ).

fof(f1252,plain,
    ( spl0_116
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1251]) ).

fof(f1251,plain,
    ( $false
    | spl0_116
    | ~ spl0_126 ),
    inference(trivial_inequality_removal,[],[f1246]) ).

fof(f1246,plain,
    ( n0 != n0
    | spl0_116
    | ~ spl0_126 ),
    inference(superposition,[],[f1068,f1202]) ).

fof(f1202,plain,
    ( ! [X0] : n0 = minus(X0,X0)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f1201,plain,
    ( spl0_126
  <=> ! [X0] : n0 = minus(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1068,plain,
    ( n0 != minus(n1,n1)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1066,plain,
    ( spl0_116
  <=> n0 = minus(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1245,plain,
    ( spl0_135
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f379,f356,f233,f1243]) ).

fof(f1243,plain,
    ( spl0_135
  <=> ! [X0] :
        ( def_10(n1,X0)
        | minus(X0,n1) = y_27(X0)
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f233,plain,
    ( spl0_30
  <=> ! [X20] :
        ( n0 = X20
        | plus(y_27(X20),n1) = X20 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f356,plain,
    ( spl0_46
  <=> ! [X4,X5] :
        ( def_10(X4,plus(X5,X4))
        | minus(plus(X5,X4),X4) = X5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f379,plain,
    ( ! [X0] :
        ( def_10(n1,X0)
        | minus(X0,n1) = y_27(X0)
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_46 ),
    inference(superposition,[],[f357,f234]) ).

fof(f234,plain,
    ( ! [X20] :
        ( plus(y_27(X20),n1) = X20
        | n0 = X20 )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f357,plain,
    ( ! [X4,X5] :
        ( def_10(X4,plus(X5,X4))
        | minus(plus(X5,X4),X4) = X5 )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f1241,plain,
    ( spl0_134
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f377,f356,f148,f1239]) ).

fof(f1239,plain,
    ( spl0_134
  <=> ! [X0,X1] :
        ( minus(plus(X0,X1),X1) = X0
        | ~ gt(plus(X0,X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f148,plain,
    ( spl0_11
  <=> ! [X4,X3] :
        ( ~ def_10(X4,X3)
        | ~ gt(X3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f377,plain,
    ( ! [X0,X1] :
        ( minus(plus(X0,X1),X1) = X0
        | ~ gt(plus(X0,X1),X1) )
    | ~ spl0_11
    | ~ spl0_46 ),
    inference(resolution,[],[f357,f149]) ).

fof(f149,plain,
    ( ! [X3,X4] :
        ( ~ def_10(X4,X3)
        | ~ gt(X3,X4) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f1237,plain,
    ( spl0_133
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f297,f259,f233,f1235]) ).

fof(f1235,plain,
    ( spl0_133
  <=> ! [X0,X1] :
        ( plus(X1,n1) != X0
        | y_27(X0) = X1
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f259,plain,
    ( spl0_33
  <=> ! [X22,X23] :
        ( X22 = X23
        | plus(X22,n1) != plus(X23,n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f297,plain,
    ( ! [X0,X1] :
        ( plus(X1,n1) != X0
        | y_27(X0) = X1
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(superposition,[],[f260,f234]) ).

fof(f260,plain,
    ( ! [X22,X23] :
        ( plus(X22,n1) != plus(X23,n1)
        | X22 = X23 )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f1233,plain,
    ( spl0_132
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f290,f255,f233,f1231]) ).

fof(f1231,plain,
    ( spl0_132
  <=> ! [X0,X1] :
        ( ~ gt(plus(X1,n1),X0)
        | gt(X1,y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f255,plain,
    ( spl0_32
  <=> ! [X6,X7] :
        ( gt(X6,X7)
        | ~ gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f290,plain,
    ( ! [X0,X1] :
        ( ~ gt(plus(X1,n1),X0)
        | gt(X1,y_27(X0))
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(superposition,[],[f256,f234]) ).

fof(f256,plain,
    ( ! [X6,X7] :
        ( ~ gt(plus(X6,n1),plus(X7,n1))
        | gt(X6,X7) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f1229,plain,
    ( spl0_131
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f288,f255,f233,f1227]) ).

fof(f1227,plain,
    ( spl0_131
  <=> ! [X0,X1] :
        ( ~ gt(X0,plus(X1,n1))
        | gt(y_27(X0),X1)
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f288,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,plus(X1,n1))
        | gt(y_27(X0),X1)
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(superposition,[],[f256,f234]) ).

fof(f1225,plain,
    ( spl0_130
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f283,f251,f233,f1223]) ).

fof(f1223,plain,
    ( spl0_130
  <=> ! [X0,X1] :
        ( gt(plus(X1,n1),X0)
        | ~ gt(X1,y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f251,plain,
    ( spl0_31
  <=> ! [X6,X7] :
        ( ~ gt(X6,X7)
        | gt(plus(X6,n1),plus(X7,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f283,plain,
    ( ! [X0,X1] :
        ( gt(plus(X1,n1),X0)
        | ~ gt(X1,y_27(X0))
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(superposition,[],[f252,f234]) ).

fof(f252,plain,
    ( ! [X6,X7] :
        ( gt(plus(X6,n1),plus(X7,n1))
        | ~ gt(X6,X7) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1221,plain,
    ( spl0_129
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f281,f251,f233,f1219]) ).

fof(f1219,plain,
    ( spl0_129
  <=> ! [X0,X1] :
        ( gt(X0,plus(X1,n1))
        | ~ gt(y_27(X0),X1)
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f281,plain,
    ( ! [X0,X1] :
        ( gt(X0,plus(X1,n1))
        | ~ gt(y_27(X0),X1)
        | n0 = X0 )
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(superposition,[],[f252,f234]) ).

fof(f1217,plain,
    ( spl0_128
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f242,f229,f225,f1215]) ).

fof(f1215,plain,
    ( spl0_128
  <=> ! [X2,X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,X2)
        | gt(X2,X1)
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f225,plain,
    ( spl0_28
  <=> ! [X13,X12] :
        ( X12 = X13
        | gt(X12,X13)
        | gt(X13,X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f229,plain,
    ( spl0_29
  <=> ! [X16,X14,X15] :
        ( ~ gt(X15,X16)
        | ~ gt(X14,X15)
        | gt(X14,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f242,plain,
    ( ! [X2,X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,X2)
        | gt(X2,X1)
        | X1 = X2 )
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(resolution,[],[f230,f226]) ).

fof(f226,plain,
    ( ! [X12,X13] :
        ( gt(X13,X12)
        | gt(X12,X13)
        | X12 = X13 )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f230,plain,
    ( ! [X16,X14,X15] :
        ( ~ gt(X15,X16)
        | ~ gt(X14,X15)
        | gt(X14,X16) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1207,plain,
    ( spl0_127
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f241,f229,f204,f1205]) ).

fof(f1205,plain,
    ( spl0_127
  <=> ! [X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,minus(X1,n1))
        | ~ gt(X1,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f204,plain,
    ( spl0_23
  <=> ! [X2] :
        ( ~ gt(X2,n0)
        | gt(X2,minus(X2,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f241,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,minus(X1,n1))
        | ~ gt(X1,n0) )
    | ~ spl0_23
    | ~ spl0_29 ),
    inference(resolution,[],[f230,f205]) ).

fof(f205,plain,
    ( ! [X2] :
        ( gt(X2,minus(X2,n1))
        | ~ gt(X2,n0) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f1203,plain,
    ( spl0_126
    | ~ spl0_7
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1087,f1039,f130,f1201]) ).

fof(f130,plain,
    ( spl0_7
  <=> ! [X4] : ~ def_10(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1039,plain,
    ( spl0_115
  <=> ! [X0] :
        ( def_10(X0,X0)
        | n0 = minus(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1087,plain,
    ( ! [X0] : n0 = minus(X0,X0)
    | ~ spl0_7
    | ~ spl0_115 ),
    inference(resolution,[],[f1040,f131]) ).

fof(f131,plain,
    ( ! [X4] : ~ def_10(X4,X4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( def_10(X0,X0)
        | n0 = minus(X0,X0) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1170,plain,
    ( spl0_123
    | spl0_63
    | spl0_124
    | spl0_114
    | ~ spl0_125
    | ~ spl0_10
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f367,f348,f142,f1167,f1034,f1163,f502,f1159]) ).

fof(f1159,plain,
    ( spl0_123
  <=> p_Rd_error(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f502,plain,
    ( spl0_63
  <=> p_Reset(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1163,plain,
    ( spl0_124
  <=> p_Rd(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1034,plain,
    ( spl0_114
  <=> p_Wr(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1167,plain,
    ( spl0_125
  <=> p_Rd_error(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f142,plain,
    ( spl0_10
  <=> ! [X24] : plus(n0,X24) = X24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f348,plain,
    ( spl0_44
  <=> ! [X34] :
        ( p_Rd_error(X34)
        | p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f367,plain,
    ( ~ p_Rd_error(n1)
    | p_Wr(n0)
    | p_Rd(n0)
    | p_Reset(n0)
    | p_Rd_error(n0)
    | ~ spl0_10
    | ~ spl0_44 ),
    inference(superposition,[],[f349,f143]) ).

fof(f143,plain,
    ( ! [X24] : plus(n0,X24) = X24
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f349,plain,
    ( ! [X34] :
        ( ~ p_Rd_error(plus(X34,n1))
        | p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(X34) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1157,plain,
    ( spl0_122
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f313,f275,f148,f1155]) ).

fof(f1155,plain,
    ( spl0_122
  <=> ! [X0,X1] :
        ( plus(minus(X0,X1),X1) = X0
        | ~ gt(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f275,plain,
    ( spl0_37
  <=> ! [X4,X3] :
        ( def_10(X4,X3)
        | plus(minus(X3,X4),X4) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f313,plain,
    ( ! [X0,X1] :
        ( plus(minus(X0,X1),X1) = X0
        | ~ gt(X0,X1) )
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(resolution,[],[f276,f149]) ).

fof(f276,plain,
    ( ! [X3,X4] :
        ( def_10(X4,X3)
        | plus(minus(X3,X4),X4) = X3 )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f1153,plain,
    ( spl0_121
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f244,f233,f220,f1151]) ).

fof(f1151,plain,
    ( spl0_121
  <=> ! [X2,X0,X1] :
        ( ~ p_Mem(X1,X2,X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f220,plain,
    ( spl0_27
  <=> ! [X32,X30,X31] :
        ( ~ p_Reset(X30)
        | ~ p_Mem(X31,X32,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f244,plain,
    ( ! [X2,X0,X1] :
        ( ~ p_Mem(X1,X2,X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 )
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(superposition,[],[f221,f234]) ).

fof(f221,plain,
    ( ! [X31,X32,X30] :
        ( ~ p_Mem(X31,X32,plus(X30,n1))
        | ~ p_Reset(X30) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f1104,plain,
    ( spl0_120
    | ~ spl0_10
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f400,f381,f142,f1102]) ).

fof(f1102,plain,
    ( spl0_120
  <=> ! [X0] :
        ( gt(X0,n1)
        | n1 = X0
        | ~ gt(X0,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f381,plain,
    ( spl0_47
  <=> ! [X18,X17] :
        ( ~ gt(X17,X18)
        | plus(X18,n1) = X17
        | gt(X17,plus(X18,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f400,plain,
    ( ! [X0] :
        ( gt(X0,n1)
        | n1 = X0
        | ~ gt(X0,n0) )
    | ~ spl0_10
    | ~ spl0_47 ),
    inference(superposition,[],[f382,f143]) ).

fof(f382,plain,
    ( ! [X18,X17] :
        ( gt(X17,plus(X18,n1))
        | plus(X18,n1) = X17
        | ~ gt(X17,X18) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f1100,plain,
    ( spl0_119
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f328,f315,f142,f1098]) ).

fof(f1098,plain,
    ( spl0_119
  <=> ! [X0] :
        ( ~ gt(n1,X0)
        | gt(n0,X0)
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f315,plain,
    ( spl0_39
  <=> ! [X11,X10] :
        ( X10 = X11
        | gt(X10,X11)
        | ~ gt(plus(X10,n1),X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f328,plain,
    ( ! [X0] :
        ( ~ gt(n1,X0)
        | gt(n0,X0)
        | n0 = X0 )
    | ~ spl0_10
    | ~ spl0_39 ),
    inference(superposition,[],[f316,f143]) ).

fof(f316,plain,
    ( ! [X10,X11] :
        ( ~ gt(plus(X10,n1),X11)
        | gt(X10,X11)
        | X10 = X11 )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1096,plain,
    ( spl0_118
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f245,f233,f199,f1094]) ).

fof(f1094,plain,
    ( spl0_118
  <=> ! [X0,X1] :
        ( ~ p_Data_out(X1,X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f199,plain,
    ( spl0_22
  <=> ! [X30,X33] :
        ( ~ p_Reset(X30)
        | ~ p_Data_out(X33,plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f245,plain,
    ( ! [X0,X1] :
        ( ~ p_Data_out(X1,X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 )
    | ~ spl0_22
    | ~ spl0_30 ),
    inference(superposition,[],[f200,f234]) ).

fof(f200,plain,
    ( ! [X30,X33] :
        ( ~ p_Data_out(X33,plus(X30,n1))
        | ~ p_Reset(X30) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f1092,plain,
    ( spl0_117
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f240,f229,f152,f1090]) ).

fof(f1090,plain,
    ( spl0_117
  <=> ! [X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,n0)
        | n0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f152,plain,
    ( spl0_12
  <=> ! [X19] :
        ( n0 = X19
        | gt(X19,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f240,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,X1)
        | gt(X0,n0)
        | n0 = X1 )
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(resolution,[],[f230,f153]) ).

fof(f153,plain,
    ( ! [X19] :
        ( gt(X19,n0)
        | n0 = X19 )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f1069,plain,
    ( spl0_4
    | ~ spl0_116
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f797,f720,f169,f1066,f116]) ).

fof(f116,plain,
    ( spl0_4
  <=> p_Empty(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f169,plain,
    ( spl0_16
  <=> ! [X28] :
        ( p_Empty(X28)
        | n0 != int_level(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f720,plain,
    ( spl0_89
  <=> int_level(plus(t_139,n1)) = minus(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f797,plain,
    ( n0 != minus(n1,n1)
    | p_Empty(plus(t_139,n1))
    | ~ spl0_16
    | ~ spl0_89 ),
    inference(superposition,[],[f170,f722]) ).

fof(f722,plain,
    ( int_level(plus(t_139,n1)) = minus(n1,n1)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f170,plain,
    ( ! [X28] :
        ( n0 != int_level(X28)
        | p_Empty(X28) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f1041,plain,
    ( spl0_115
    | ~ spl0_10
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f378,f356,f142,f1039]) ).

fof(f378,plain,
    ( ! [X0] :
        ( def_10(X0,X0)
        | n0 = minus(X0,X0) )
    | ~ spl0_10
    | ~ spl0_46 ),
    inference(superposition,[],[f357,f143]) ).

fof(f1037,plain,
    ( ~ spl0_113
    | spl0_63
    | spl0_114
    | spl0_64
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f308,f271,f142,f506,f1034,f502,f1030]) ).

fof(f1030,plain,
    ( spl0_113
  <=> p_Wr_error(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f506,plain,
    ( spl0_64
  <=> p_Wr_error(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f271,plain,
    ( spl0_36
  <=> ! [X34] :
        ( ~ p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f308,plain,
    ( p_Wr_error(n1)
    | p_Wr(n0)
    | p_Reset(n0)
    | ~ p_Wr_error(n0)
    | ~ spl0_10
    | ~ spl0_36 ),
    inference(superposition,[],[f272,f143]) ).

fof(f272,plain,
    ( ! [X34] :
        ( p_Wr_error(plus(X34,n1))
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(X34) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f1028,plain,
    ( spl0_112
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f296,f259,f142,f1026]) ).

fof(f1026,plain,
    ( spl0_112
  <=> ! [X0] :
        ( n1 != plus(X0,n1)
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f296,plain,
    ( ! [X0] :
        ( n1 != plus(X0,n1)
        | n0 = X0 )
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(superposition,[],[f260,f143]) ).

fof(f1024,plain,
    ( spl0_111
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f289,f255,f142,f1022]) ).

fof(f1022,plain,
    ( spl0_111
  <=> ! [X0] :
        ( ~ gt(plus(X0,n1),n1)
        | gt(X0,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f289,plain,
    ( ! [X0] :
        ( ~ gt(plus(X0,n1),n1)
        | gt(X0,n0) )
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(superposition,[],[f256,f143]) ).

fof(f1020,plain,
    ( spl0_110
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f287,f255,f142,f1018]) ).

fof(f1018,plain,
    ( spl0_110
  <=> ! [X0] :
        ( ~ gt(n1,plus(X0,n1))
        | gt(n0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ gt(n1,plus(X0,n1))
        | gt(n0,X0) )
    | ~ spl0_10
    | ~ spl0_32 ),
    inference(superposition,[],[f256,f143]) ).

fof(f1016,plain,
    ( spl0_109
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f282,f251,f142,f1014]) ).

fof(f1014,plain,
    ( spl0_109
  <=> ! [X0] :
        ( gt(plus(X0,n1),n1)
        | ~ gt(X0,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f282,plain,
    ( ! [X0] :
        ( gt(plus(X0,n1),n1)
        | ~ gt(X0,n0) )
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(superposition,[],[f252,f143]) ).

fof(f1012,plain,
    ( spl0_108
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f280,f251,f142,f1010]) ).

fof(f1010,plain,
    ( spl0_108
  <=> ! [X0] :
        ( gt(n1,plus(X0,n1))
        | ~ gt(n0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f280,plain,
    ( ! [X0] :
        ( gt(n1,plus(X0,n1))
        | ~ gt(n0,X0) )
    | ~ spl0_10
    | ~ spl0_31 ),
    inference(superposition,[],[f252,f143]) ).

fof(f1008,plain,
    ( spl0_107
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f247,f233,f177,f1006]) ).

fof(f1006,plain,
    ( spl0_107
  <=> ! [X0] :
        ( ~ p_Wr_error(X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f177,plain,
    ( spl0_18
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Wr_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ p_Wr_error(X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 )
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(superposition,[],[f178,f234]) ).

fof(f178,plain,
    ( ! [X30] :
        ( ~ p_Wr_error(plus(X30,n1))
        | ~ p_Reset(X30) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f1004,plain,
    ( spl0_106
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f246,f233,f181,f1002]) ).

fof(f1002,plain,
    ( spl0_106
  <=> ! [X0] :
        ( ~ p_Rd_error(X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f181,plain,
    ( spl0_19
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | ~ p_Rd_error(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ p_Rd_error(X0)
        | ~ p_Reset(y_27(X0))
        | n0 = X0 )
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(superposition,[],[f182,f234]) ).

fof(f182,plain,
    ( ! [X30] :
        ( ~ p_Rd_error(plus(X30,n1))
        | ~ p_Reset(X30) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f1000,plain,
    ( spl0_105
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f239,f229,f138,f998]) ).

fof(f998,plain,
    ( spl0_105
  <=> ! [X0,X1] :
        ( ~ gt(X0,plus(X1,n1))
        | gt(X0,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f138,plain,
    ( spl0_9
  <=> ! [X1] : gt(plus(X1,n1),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f239,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,plus(X1,n1))
        | gt(X0,n0) )
    | ~ spl0_9
    | ~ spl0_29 ),
    inference(resolution,[],[f230,f139]) ).

fof(f139,plain,
    ( ! [X1] : gt(plus(X1,n1),n0)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f949,plain,
    ( spl0_104
    | ~ spl0_7
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f312,f275,f130,f947]) ).

fof(f947,plain,
    ( spl0_104
  <=> ! [X0] : plus(minus(X0,X0),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f312,plain,
    ( ! [X0] : plus(minus(X0,X0),X0) = X0
    | ~ spl0_7
    | ~ spl0_37 ),
    inference(resolution,[],[f276,f131]) ).

fof(f925,plain,
    spl0_103,
    inference(avatar_split_clause,[],[f74,f923]) ).

fof(f923,plain,
    ( spl0_103
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ gt(minus(fifo_length,n1),rd_level(X34))
        | rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f74,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ gt(minus(fifo_length,n1),rd_level(X34))
      | rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).

fof(f921,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f56,f919]) ).

fof(f919,plain,
    ( spl0_102
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ gt(minus(fifo_length,n1),rd_level(X34))
        | rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f56,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ gt(minus(fifo_length,n1),rd_level(X34))
      | rd_level(plus(X34,n1)) = plus(rd_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).

fof(f917,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f40,f915]) ).

fof(f915,plain,
    ( spl0_101
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | ~ gt(minus(fifo_length,n1),wr_level(X34))
        | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f40,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | ~ gt(minus(fifo_length,n1),wr_level(X34))
      | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).

fof(f884,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f39,f882]) ).

fof(f882,plain,
    ( spl0_100
  <=> ! [X34,X37,X36] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | ~ p_Mem(X36,X37,X34)
        | wr_level(X34) = X36
        | p_Mem(X36,X37,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f39,axiom,
    ! [X36,X37,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | ~ p_Mem(X36,X37,X34)
      | wr_level(X34) = X36
      | p_Mem(X36,X37,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).

fof(f880,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f38,f878]) ).

fof(f878,plain,
    ( spl0_99
  <=> ! [X34,X36,X37] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | wr_level(X34) = X36
        | p_Mem(X36,X37,X34)
        | ~ p_Mem(X36,X37,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f38,axiom,
    ! [X36,X37,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | wr_level(X34) = X36
      | p_Mem(X36,X37,X34)
      | ~ p_Mem(X36,X37,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

fof(f875,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f796,f720,f156,f872,f868]) ).

fof(f868,plain,
    ( spl0_97
  <=> p_Full(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f872,plain,
    ( spl0_98
  <=> fifo_length = minus(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f156,plain,
    ( spl0_13
  <=> ! [X26] :
        ( p_Full(X26)
        | int_level(X26) != fifo_length ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f796,plain,
    ( fifo_length != minus(n1,n1)
    | p_Full(plus(t_139,n1))
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(superposition,[],[f157,f722]) ).

fof(f157,plain,
    ( ! [X26] :
        ( int_level(X26) != fifo_length
        | p_Full(X26) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f860,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f75,f858]) ).

fof(f858,plain,
    ( spl0_96
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | n0 = rd_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),rd_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f75,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | n0 = rd_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),rd_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).

fof(f856,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f57,f854]) ).

fof(f854,plain,
    ( spl0_95
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | n0 = rd_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),rd_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f57,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | n0 = rd_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),rd_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(f852,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f41,f850]) ).

fof(f850,plain,
    ( spl0_94
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | n0 = wr_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),wr_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f41,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | n0 = wr_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),wr_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).

fof(f843,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f67,f841]) ).

fof(f841,plain,
    ( spl0_93
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(minus(fifo_length,n1),wr_level(X34))
        | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f67,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(minus(fifo_length,n1),wr_level(X34))
      | wr_level(plus(X34,n1)) = plus(wr_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).

fof(f735,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f73,f733]) ).

fof(f733,plain,
    ( spl0_92
  <=> ! [X34,X46] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Mem(rd_level(X34),X46,X34)
        | p_Data_out(X46,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f73,axiom,
    ! [X46,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Mem(rd_level(X34),X46,X34)
      | p_Data_out(X46,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).

fof(f731,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f72,f729]) ).

fof(f729,plain,
    ( spl0_91
  <=> ! [X34,X46] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Data_out(X46,plus(X34,n1))
        | p_Mem(rd_level(X34),X46,X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f72,axiom,
    ! [X46,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Data_out(X46,plus(X34,n1))
      | p_Mem(rd_level(X34),X46,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).

fof(f727,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f66,f725]) ).

fof(f725,plain,
    ( spl0_90
  <=> ! [X45,X34,X44] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Mem(X44,X45,X34)
        | wr_level(X34) = X44
        | p_Mem(X44,X45,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f66,axiom,
    ! [X44,X45,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Mem(X44,X45,X34)
      | wr_level(X34) = X44
      | p_Mem(X44,X45,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).

fof(f723,plain,
    ( spl0_89
    | ~ spl0_2
    | spl0_3
    | spl0_1
    | ~ spl0_14
    | ~ spl0_5
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f684,f655,f121,f160,f101,f111,f106,f720]) ).

fof(f106,plain,
    ( spl0_2
  <=> p_Rd(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f111,plain,
    ( spl0_3
  <=> p_Reset(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f101,plain,
    ( spl0_1
  <=> p_Wr(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f160,plain,
    ( spl0_14
  <=> gt(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f121,plain,
    ( spl0_5
  <=> n1 = int_level(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f655,plain,
    ( spl0_80
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | int_level(plus(X34,n1)) = minus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f684,plain,
    ( ~ gt(n1,n0)
    | p_Wr(t_139)
    | p_Reset(t_139)
    | ~ p_Rd(t_139)
    | int_level(plus(t_139,n1)) = minus(n1,n1)
    | ~ spl0_5
    | ~ spl0_80 ),
    inference(superposition,[],[f656,f123]) ).

fof(f123,plain,
    ( n1 = int_level(t_139)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f656,plain,
    ( ! [X34] :
        ( ~ gt(int_level(X34),n0)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Rd(X34)
        | int_level(plus(X34,n1)) = minus(int_level(X34),n1) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f718,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f65,f716]) ).

fof(f716,plain,
    ( spl0_88
  <=> ! [X45,X34,X44] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | wr_level(X34) = X44
        | p_Mem(X44,X45,X34)
        | ~ p_Mem(X44,X45,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f65,axiom,
    ! [X44,X45,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | wr_level(X34) = X44
      | p_Mem(X44,X45,X34)
      | ~ p_Mem(X44,X45,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).

fof(f714,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f55,f712]) ).

fof(f712,plain,
    ( spl0_87
  <=> ! [X41,X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Mem(rd_level(X34),X41,X34)
        | p_Data_out(X41,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f55,axiom,
    ! [X41,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Mem(rd_level(X34),X41,X34)
      | p_Data_out(X41,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).

fof(f710,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f54,f708]) ).

fof(f708,plain,
    ( spl0_86
  <=> ! [X41,X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | ~ p_Data_out(X41,plus(X34,n1))
        | p_Mem(rd_level(X34),X41,X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f54,axiom,
    ! [X41,X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | ~ p_Data_out(X41,plus(X34,n1))
      | p_Mem(rd_level(X34),X41,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).

fof(f706,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f46,f704]) ).

fof(f704,plain,
    ( spl0_85
  <=> ! [X38,X34,X39] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Mem(X38,X39,X34)
        | gt(fifo_length,int_level(X34))
        | p_Mem(X38,X39,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f46,axiom,
    ! [X38,X39,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Mem(X38,X39,X34)
      | gt(fifo_length,int_level(X34))
      | p_Mem(X38,X39,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).

fof(f702,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f45,f700]) ).

fof(f700,plain,
    ( spl0_84
  <=> ! [X38,X34,X39] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | p_Mem(X38,X39,X34)
        | ~ p_Mem(X38,X39,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f45,axiom,
    ! [X38,X39,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | p_Mem(X38,X39,X34)
      | ~ p_Mem(X38,X39,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).

fof(f698,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f37,f696]) ).

fof(f696,plain,
    ( spl0_83
  <=> ! [X34,X35] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_in(X35,X34)
        | ~ gt(fifo_length,int_level(X34))
        | p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f37,axiom,
    ! [X34,X35] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_in(X35,X34)
      | ~ gt(fifo_length,int_level(X34))
      | p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f694,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f36,f692]) ).

fof(f692,plain,
    ( spl0_82
  <=> ! [X34,X35] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_in(X35,X34)
        | ~ gt(fifo_length,int_level(X34))
        | ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f36,axiom,
    ! [X34,X35] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_in(X35,X34)
      | ~ gt(fifo_length,int_level(X34))
      | ~ p_Mem(wr_level(X34),X35,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f661,plain,
    ( spl0_81
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f422,f229,f160,f659]) ).

fof(f659,plain,
    ( spl0_81
  <=> ! [X0] :
        ( ~ gt(X0,n1)
        | gt(X0,n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f422,plain,
    ( ! [X0] :
        ( ~ gt(X0,n1)
        | gt(X0,n0) )
    | ~ spl0_14
    | ~ spl0_29 ),
    inference(resolution,[],[f162,f230]) ).

fof(f162,plain,
    ( gt(n1,n0)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f657,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f71,f655]) ).

fof(f71,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | int_level(plus(X34,n1)) = minus(int_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

fof(f653,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f59,f651]) ).

fof(f651,plain,
    ( spl0_79
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f59,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).

fof(f649,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f35,f647]) ).

fof(f647,plain,
    ( spl0_78
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(fifo_length,int_level(X34))
        | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f35,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(fifo_length,int_level(X34))
      | int_level(plus(X34,n1)) = plus(int_level(X34),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).

fof(f609,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f80,f607]) ).

fof(f607,plain,
    ( spl0_77
  <=> ! [X34,X47] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X47,X34)
        | gt(int_level(X34),n0)
        | p_Data_out(X47,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f80,axiom,
    ! [X47,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X47,X34)
      | gt(int_level(X34),n0)
      | p_Data_out(X47,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).

fof(f605,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f79,f603]) ).

fof(f603,plain,
    ( spl0_76
  <=> ! [X34,X47] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Data_out(X47,X34)
        | gt(int_level(X34),n0)
        | ~ p_Data_out(X47,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f79,axiom,
    ! [X47,X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Data_out(X47,X34)
      | gt(int_level(X34),n0)
      | ~ p_Data_out(X47,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).

fof(f601,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f68,f599]) ).

fof(f599,plain,
    ( spl0_75
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | n0 = wr_level(plus(X34,n1))
        | gt(minus(fifo_length,n1),wr_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f68,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | n0 = wr_level(plus(X34,n1))
      | gt(minus(fifo_length,n1),wr_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).

fof(f597,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f62,f595]) ).

fof(f595,plain,
    ( spl0_74
  <=> ! [X34,X42] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X42,X34)
        | gt(int_level(X34),n0)
        | p_Data_out(X42,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f62,axiom,
    ! [X34,X42] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X42,X34)
      | gt(int_level(X34),n0)
      | p_Data_out(X42,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).

fof(f593,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f61,f591]) ).

fof(f591,plain,
    ( spl0_73
  <=> ! [X34,X42] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X42,X34)
        | gt(int_level(X34),n0)
        | ~ p_Data_out(X42,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f61,axiom,
    ! [X34,X42] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X42,X34)
      | gt(int_level(X34),n0)
      | ~ p_Data_out(X42,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f565,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f78,f563]) ).

fof(f563,plain,
    ( spl0_72
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f78,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).

fof(f555,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f77,f553]) ).

fof(f553,plain,
    ( spl0_71
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f77,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).

fof(f551,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f60,f549]) ).

fof(f549,plain,
    ( spl0_70
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | gt(int_level(X34),n0)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f60,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | gt(int_level(X34),n0)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f547,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f53,f545]) ).

fof(f545,plain,
    ( spl0_69
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ gt(int_level(X34),n0)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f53,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ gt(int_level(X34),n0)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).

fof(f543,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f44,f541]) ).

fof(f541,plain,
    ( spl0_68
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f44,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f539,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f43,f537]) ).

fof(f537,plain,
    ( spl0_67
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | gt(fifo_length,int_level(X34))
        | wr_level(X34) = wr_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f43,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | wr_level(X34) = wr_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f522,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f64,f520]) ).

fof(f520,plain,
    ( spl0_66
  <=> ! [X34,X43] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_in(X43,X34)
        | p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f64,axiom,
    ! [X34,X43] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_in(X43,X34)
      | p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f518,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f63,f516]) ).

fof(f516,plain,
    ( spl0_65
  <=> ! [X34,X43] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Data_in(X43,X34)
        | ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f63,axiom,
    ! [X34,X43] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Data_in(X43,X34)
      | ~ p_Mem(wr_level(X34),X43,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).

fof(f509,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f196,f177,f142,f506,f502]) ).

fof(f196,plain,
    ( ~ p_Wr_error(n1)
    | ~ p_Reset(n0)
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(superposition,[],[f178,f143]) ).

fof(f458,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f88,f456]) ).

fof(f456,plain,
    ( spl0_62
  <=> ! [X34,X50,X49] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Mem(X49,X50,X34)
        | p_Mem(X49,X50,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f88,axiom,
    ! [X50,X49,X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Mem(X49,X50,X34)
      | p_Mem(X49,X50,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).

fof(f454,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f87,f452]) ).

fof(f452,plain,
    ( spl0_61
  <=> ! [X34,X50,X49] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | p_Mem(X49,X50,X34)
        | ~ p_Mem(X49,X50,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f87,axiom,
    ! [X50,X49,X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | p_Mem(X49,X50,X34)
      | ~ p_Mem(X49,X50,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).

fof(f450,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f84,f448]) ).

fof(f448,plain,
    ( spl0_60
  <=> ! [X34,X48] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X48,X34)
        | p_Data_out(X48,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f84,axiom,
    ! [X48,X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X48,X34)
      | p_Data_out(X48,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).

fof(f446,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f83,f444]) ).

fof(f444,plain,
    ( spl0_59
  <=> ! [X34,X48] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X48,X34)
        | ~ p_Data_out(X48,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f83,axiom,
    ! [X48,X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X48,X34)
      | ~ p_Data_out(X48,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).

fof(f442,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f76,f440]) ).

fof(f440,plain,
    ( spl0_58
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1))
        | gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f76,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1))
      | gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(f438,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f70,f436]) ).

fof(f436,plain,
    ( spl0_57
  <=> ! [X34] :
        ( ~ p_Rd(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1))
        | ~ gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f70,axiom,
    ! [X34] :
      ( ~ p_Rd(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1))
      | ~ gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).

fof(f434,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f58,f432]) ).

fof(f432,plain,
    ( spl0_56
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1))
        | gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f58,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1))
      | gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f430,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f52,f428]) ).

fof(f428,plain,
    ( spl0_55
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1))
        | ~ gt(int_level(X34),n0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f52,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1))
      | ~ gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).

fof(f426,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f48,f424]) ).

fof(f424,plain,
    ( spl0_54
  <=> ! [X34,X40] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Data_out(X40,X34)
        | p_Data_out(X40,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f48,axiom,
    ! [X40,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Data_out(X40,X34)
      | p_Data_out(X40,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).

fof(f421,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f47,f419]) ).

fof(f419,plain,
    ( spl0_53
  <=> ! [X34,X40] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Data_out(X40,X34)
        | ~ p_Data_out(X40,plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f47,axiom,
    ! [X40,X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Data_out(X40,X34)
      | ~ p_Data_out(X40,plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

fof(f417,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f42,f415]) ).

fof(f415,plain,
    ( spl0_52
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Wr_error(plus(X34,n1))
        | gt(fifo_length,int_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f42,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Wr_error(plus(X34,n1))
      | gt(fifo_length,int_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

fof(f413,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f34,f411]) ).

fof(f411,plain,
    ( spl0_51
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1))
        | ~ gt(fifo_length,int_level(X34)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f34,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1))
      | ~ gt(fifo_length,int_level(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f395,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f82,f393]) ).

fof(f393,plain,
    ( spl0_50
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | int_level(X34) = int_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f82,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).

fof(f391,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f81,f389]) ).

fof(f389,plain,
    ( spl0_49
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f81,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).

fof(f387,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f33,f385]) ).

fof(f385,plain,
    ( spl0_48
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | rd_level(plus(X34,n1)) = rd_level(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f33,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | rd_level(plus(X34,n1)) = rd_level(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f383,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f14,f381]) ).

fof(f14,axiom,
    ! [X18,X17] :
      ( ~ gt(X17,X18)
      | plus(X18,n1) = X17
      | gt(X17,plus(X18,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f358,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f99,f356]) ).

fof(f99,plain,
    ! [X4,X5] :
      ( def_10(X4,plus(X5,X4))
      | minus(plus(X5,X4),X4) = X5 ),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( def_10(X4,X3)
      | plus(X5,X4) != X3
      | minus(X3,X4) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f354,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f86,f352]) ).

fof(f352,plain,
    ( spl0_45
  <=> ! [X34] :
        ( ~ p_Rd_error(X34)
        | p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f86,axiom,
    ! [X34] :
      ( ~ p_Rd_error(X34)
      | p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).

fof(f350,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f85,f348]) ).

fof(f85,axiom,
    ! [X34] :
      ( p_Rd_error(X34)
      | p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).

fof(f346,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f50,f344]) ).

fof(f344,plain,
    ( spl0_43
  <=> ! [X34] :
        ( ~ p_Rd_error(X34)
        | ~ p_Wr(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f50,axiom,
    ! [X34] :
      ( ~ p_Rd_error(X34)
      | ~ p_Wr(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).

fof(f342,plain,
    ( spl0_42
    | spl0_1
    | spl0_3
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f330,f319,f111,f101,f339]) ).

fof(f339,plain,
    ( spl0_42
  <=> wr_level(t_139) = wr_level(plus(t_139,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f319,plain,
    ( spl0_40
  <=> ! [X34] :
        ( p_Wr(X34)
        | p_Reset(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f330,plain,
    ( p_Wr(t_139)
    | wr_level(t_139) = wr_level(plus(t_139,n1))
    | spl0_3
    | ~ spl0_40 ),
    inference(resolution,[],[f320,f113]) ).

fof(f113,plain,
    ( ~ p_Reset(t_139)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f320,plain,
    ( ! [X34] :
        ( p_Reset(X34)
        | p_Wr(X34)
        | wr_level(X34) = wr_level(plus(X34,n1)) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f337,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f49,f335]) ).

fof(f335,plain,
    ( spl0_41
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | p_Rd_error(X34)
        | p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Rd_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f49,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Rd_error(X34)
      | p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Rd_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).

fof(f321,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f69,f319]) ).

fof(f69,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | p_Reset(X34)
      | wr_level(X34) = wr_level(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).

fof(f317,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f11,f315]) ).

fof(f11,axiom,
    ! [X10,X11] :
      ( X10 = X11
      | gt(X10,X11)
      | ~ gt(plus(X10,n1),X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f295,plain,
    ( ~ spl0_38
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f146,f142,f134,f292]) ).

fof(f292,plain,
    ( spl0_38
  <=> n1 = n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f134,plain,
    ( spl0_8
  <=> ! [X0] : plus(X0,n1) != n0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f146,plain,
    ( n1 != n0
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f135,f143]) ).

fof(f135,plain,
    ( ! [X0] : plus(X0,n1) != n0
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f277,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f98,f275]) ).

fof(f98,plain,
    ! [X3,X4] :
      ( def_10(X4,X3)
      | plus(minus(X3,X4),X4) = X3 ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X5] :
      ( def_10(X4,X3)
      | minus(X3,X4) != X5
      | plus(X5,X4) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f273,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f90,f271]) ).

fof(f90,axiom,
    ! [X34] :
      ( ~ p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).

fof(f269,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f89,f267]) ).

fof(f267,plain,
    ( spl0_35
  <=> ! [X34] :
        ( p_Wr_error(X34)
        | p_Wr(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f89,axiom,
    ! [X34] :
      ( p_Wr_error(X34)
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).

fof(f265,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f51,f263]) ).

fof(f263,plain,
    ( spl0_34
  <=> ! [X34] :
        ( ~ p_Wr(X34)
        | ~ p_Rd(X34)
        | p_Reset(X34)
        | ~ p_Wr_error(plus(X34,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f51,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | ~ p_Wr_error(plus(X34,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).

fof(f261,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f18,f259]) ).

fof(f18,axiom,
    ! [X22,X23] :
      ( X22 = X23
      | plus(X22,n1) != plus(X23,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f257,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f9,f255]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( gt(X6,X7)
      | ~ gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f253,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f8,f251]) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( ~ gt(X6,X7)
      | gt(plus(X6,n1),plus(X7,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f235,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f16,f233]) ).

fof(f16,axiom,
    ! [X20] :
      ( n0 = X20
      | plus(y_27(X20),n1) = X20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(f231,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f13,f229]) ).

fof(f13,axiom,
    ! [X16,X14,X15] :
      ( ~ gt(X15,X16)
      | ~ gt(X14,X15)
      | gt(X14,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f227,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f12,f225]) ).

fof(f12,axiom,
    ! [X12,X13] :
      ( X12 = X13
      | gt(X12,X13)
      | gt(X13,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f222,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f31,f220]) ).

fof(f31,axiom,
    ! [X31,X32,X30] :
      ( ~ p_Reset(X30)
      | ~ p_Mem(X31,X32,plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f218,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f28,f216]) ).

fof(f216,plain,
    ( spl0_26
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = rd_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f28,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = rd_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f214,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f27,f212]) ).

fof(f212,plain,
    ( spl0_25
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = wr_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f27,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = wr_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f210,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f26,f208]) ).

fof(f208,plain,
    ( spl0_24
  <=> ! [X30] :
        ( ~ p_Reset(X30)
        | n0 = int_level(plus(X30,n1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f26,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = int_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f206,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f3,f204]) ).

fof(f3,axiom,
    ! [X2] :
      ( ~ gt(X2,n0)
      | gt(X2,minus(X2,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f201,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f32,f199]) ).

fof(f32,axiom,
    ! [X30,X33] :
      ( ~ p_Reset(X30)
      | ~ p_Data_out(X33,plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f195,plain,
    ( spl0_20
    | ~ spl0_21
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f185,f156,f121,f192,f188]) ).

fof(f188,plain,
    ( spl0_20
  <=> p_Full(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f192,plain,
    ( spl0_21
  <=> n1 = fifo_length ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f185,plain,
    ( n1 != fifo_length
    | p_Full(t_139)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f157,f123]) ).

fof(f183,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f30,f181]) ).

fof(f30,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Rd_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f179,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f29,f177]) ).

fof(f29,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | ~ p_Wr_error(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

fof(f175,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f25,f173]) ).

fof(f173,plain,
    ( spl0_17
  <=> ! [X29] :
        ( ~ p_Empty(X29)
        | n0 = int_level(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f171,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f24,f169]) ).

fof(f24,axiom,
    ! [X28] :
      ( p_Empty(X28)
      | n0 != int_level(X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f167,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f23,f165]) ).

fof(f165,plain,
    ( spl0_15
  <=> ! [X27] :
        ( ~ p_Full(X27)
        | fifo_length = int_level(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f23,axiom,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(f163,plain,
    ( spl0_14
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f145,f142,f138,f160]) ).

fof(f145,plain,
    ( gt(n1,n0)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f139,f143]) ).

fof(f158,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f22,f156]) ).

fof(f22,axiom,
    ! [X26] :
      ( p_Full(X26)
      | int_level(X26) != fifo_length ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(f154,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f15,f152]) ).

fof(f15,axiom,
    ! [X19] :
      ( n0 = X19
      | gt(X19,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f150,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f6,f148]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ def_10(X4,X3)
      | ~ gt(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f144,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f19,f142]) ).

fof(f19,axiom,
    ! [X24] : plus(n0,X24) = X24,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f140,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f2,f138]) ).

fof(f2,axiom,
    ! [X1] : gt(plus(X1,n1),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f136,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f1,f134]) ).

fof(f1,axiom,
    ! [X0] : plus(X0,n1) != n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f132,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f97,f130]) ).

fof(f97,plain,
    ! [X4] : ~ def_10(X4,X4),
    inference(equality_resolution,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( X3 != X4
      | ~ def_10(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f128,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f17,f126]) ).

fof(f126,plain,
    ( spl0_6
  <=> ! [X21] : ~ gt(X21,X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f17,axiom,
    ! [X21] : ~ gt(X21,X21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f124,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f96,f121]) ).

fof(f96,plain,
    n1 = int_level(t_139),
    inference(definition_unfolding,[],[f91,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f91,axiom,
    n1 = level(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f119,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f95,f116]) ).

fof(f95,axiom,
    ~ p_Empty(plus(t_139,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

fof(f114,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f94,f111]) ).

fof(f94,axiom,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f109,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f93,f106]) ).

fof(f93,axiom,
    p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f104,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f92,f101]) ).

fof(f92,axiom,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18  % Problem    : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.20  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.41  % Computer : n015.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8042.1875MB
% 0.14/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.41  % CPULimit   : 300
% 0.14/0.41  % WCLimit    : 300
% 0.14/0.41  % DateTime   : Tue Apr 30 05:33:48 EDT 2024
% 0.14/0.42  % CPUTime    : 
% 0.14/0.42  % (24085)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.44  % (24088)WARNING: value z3 for option sas not known
% 0.14/0.44  % (24087)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.44  % (24089)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.44  % (24090)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.44  % (24091)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.44  % (24092)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.44  % (24088)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.44  % (24086)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.45  TRYING [1]
% 0.19/0.45  TRYING [2]
% 0.19/0.45  TRYING [3]
% 0.19/0.47  TRYING [4]
% 0.19/0.47  % (24090)First to succeed.
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [2]
% 0.19/0.48  % (24090)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.48  % (24090)------------------------------
% 0.27/0.48  % (24090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.27/0.48  % (24090)Termination reason: Refutation
% 0.27/0.48  
% 0.27/0.48  % (24090)Memory used [KB]: 1455
% 0.27/0.48  % (24090)Time elapsed: 0.039 s
% 0.27/0.48  % (24090)Instructions burned: 61 (million)
% 0.27/0.48  % (24090)------------------------------
% 0.27/0.48  % (24090)------------------------------
% 0.27/0.48  % (24085)Success in time 0.05 s
%------------------------------------------------------------------------------