TSTP Solution File: HWC002-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.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 : Fri Sep 1 15:58:50 EDT 2023
% Result : Unsatisfiable 0.23s 0.60s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 220
% Syntax : Number of formulae : 643 ( 62 unt; 0 def)
% Number of atoms : 1834 ( 214 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2201 (1010 ~;1009 |; 0 &)
% ( 182 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 185 ( 183 usr; 183 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 1598 (;1598 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6106,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f48,f53,f58,f63,f68,f73,f78,f83,f88,f93,f98,f102,f106,f110,f114,f119,f124,f128,f134,f141,f158,f162,f166,f170,f188,f206,f210,f234,f238,f254,f258,f262,f266,f342,f348,f382,f386,f446,f450,f492,f496,f500,f504,f508,f512,f516,f520,f524,f528,f532,f536,f540,f607,f665,f669,f673,f677,f681,f685,f717,f721,f725,f729,f767,f771,f775,f779,f783,f787,f791,f795,f799,f803,f807,f811,f863,f920,f924,f928,f932,f940,f944,f948,f952,f956,f960,f964,f968,f972,f976,f984,f988,f992,f996,f1000,f1004,f1008,f1012,f1016,f1020,f1024,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1056,f1060,f1064,f1070,f1074,f1078,f1082,f1086,f1090,f1094,f1098,f1102,f1106,f1110,f1114,f1118,f1122,f1126,f1130,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1166,f1170,f1174,f1178,f1218,f1292,f1508,f3195,f5200,f5204,f5208,f5212,f5216,f5220,f5224,f5228,f5232,f5236,f5240,f5244,f5248,f5252,f5256,f5260,f5264,f5268,f5272,f5276,f5280,f5284,f5760,f6046,f6050,f6054,f6058,f6063,f6067,f6071,f6075,f6079,f6083,f6087,f6091,f6095,f6099,f6103,f6105]) ).
fof(f6105,plain,
( ~ spl0_16
| spl0_172 ),
inference(avatar_contradiction_clause,[],[f6104]) ).
fof(f6104,plain,
( $false
| ~ spl0_16
| spl0_172 ),
inference(resolution,[],[f6062,f113]) ).
fof(f113,plain,
( ! [X2,X9] : circuit(top(X9),X2,bottom(X9))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_16
<=> ! [X9,X2] : circuit(top(X9),X2,bottom(X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f6062,plain,
( ~ circuit(top(nil),nil,bottom(nil))
| spl0_172 ),
inference(avatar_component_clause,[],[f6060]) ).
fof(f6060,plain,
( spl0_172
<=> circuit(top(nil),nil,bottom(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f6103,plain,
( spl0_182
| ~ spl0_10
| ~ spl0_19
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f432,f384,f126,f85,f6101]) ).
fof(f6101,plain,
( spl0_182
<=> ! [X4,X5,X3] :
( circuit(top(connect(n1,X3)),nil,bottom(connect(or(n0,X4),connect(X4,X5))))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f85,plain,
( spl0_10
<=> n1 = or(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f126,plain,
( spl0_19
<=> ! [X2,X9] : connect(X9,X2) = connect(X9,connect(X9,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f384,plain,
( spl0_38
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),connect(X0,X1))),nil,bottom(connect(or(X2,X3),connect(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f432,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n1,X3)),nil,bottom(connect(or(n0,X4),connect(X4,X5))))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_10
| ~ spl0_19
| ~ spl0_38 ),
inference(forward_demodulation,[],[f418,f127]) ).
fof(f127,plain,
( ! [X2,X9] : connect(X9,X2) = connect(X9,connect(X9,X2))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f418,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n1,connect(n1,X3))),nil,bottom(connect(or(n0,X4),connect(X4,X5))))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_10
| ~ spl0_38 ),
inference(superposition,[],[f385,f87]) ).
fof(f87,plain,
( n1 = or(n0,n1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(or(X2,X0),connect(X0,X1))),nil,bottom(connect(or(X2,X3),connect(X3,X4))))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f6099,plain,
( spl0_181
| ~ spl0_9
| ~ spl0_19
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f431,f384,f126,f80,f6097]) ).
fof(f6097,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(or(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f80,plain,
( spl0_9
<=> n0 = or(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f431,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(or(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_9
| ~ spl0_19
| ~ spl0_38 ),
inference(forward_demodulation,[],[f417,f127]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,connect(n0,X0))),nil,bottom(connect(or(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_9
| ~ spl0_38 ),
inference(superposition,[],[f385,f82]) ).
fof(f82,plain,
( n0 = or(n0,n0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f6095,plain,
( spl0_180
| ~ spl0_15
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f429,f384,f108,f6093]) ).
fof(f6093,plain,
( spl0_180
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(or(X1,X2),connect(X2,X3))),nil,bottom(connect(or(X1,nil),X0)))
| ~ circuit(top(connect(X2,X3)),middle(X1),bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f108,plain,
( spl0_15
<=> ! [X9] : connect(nil,X9) = X9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f429,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(or(X1,X2),connect(X2,X3))),nil,bottom(connect(or(X1,nil),X0)))
| ~ circuit(top(connect(X2,X3)),middle(X1),bottom(X0)) )
| ~ spl0_15
| ~ spl0_38 ),
inference(superposition,[],[f385,f109]) ).
fof(f109,plain,
( ! [X9] : connect(nil,X9) = X9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f6091,plain,
( spl0_179
| ~ spl0_15
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f422,f384,f108,f6089]) ).
fof(f6089,plain,
( spl0_179
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(or(X1,nil),X0)),nil,bottom(connect(or(X1,X2),connect(X2,X3))))
| ~ circuit(top(X0),middle(X1),bottom(connect(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f422,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(or(X1,nil),X0)),nil,bottom(connect(or(X1,X2),connect(X2,X3))))
| ~ circuit(top(X0),middle(X1),bottom(connect(X2,X3))) )
| ~ spl0_15
| ~ spl0_38 ),
inference(superposition,[],[f385,f109]) ).
fof(f6087,plain,
( spl0_178
| ~ spl0_8
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f411,f380,f126,f75,f6085]) ).
fof(f6085,plain,
( spl0_178
<=> ! [X9,X11,X10] :
( circuit(top(connect(and(n1,X9),connect(X9,X10))),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f75,plain,
( spl0_8
<=> n1 = and(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f380,plain,
( spl0_37
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),connect(X0,X1))),nil,bottom(connect(and(X2,X3),connect(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f411,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(and(n1,X9),connect(X9,X10))),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_8
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f399,f127]) ).
fof(f399,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(and(n1,X9),connect(X9,X10))),nil,bottom(connect(n1,connect(n1,X11))))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_8
| ~ spl0_37 ),
inference(superposition,[],[f381,f77]) ).
fof(f77,plain,
( n1 = and(n1,n1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f381,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(and(X2,X0),connect(X0,X1))),nil,bottom(connect(and(X2,X3),connect(X3,X4))))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f6083,plain,
( spl0_177
| ~ spl0_7
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f410,f380,f126,f70,f6081]) ).
fof(f6081,plain,
( spl0_177
<=> ! [X6,X8,X7] :
( circuit(top(connect(and(n1,X6),connect(X6,X7))),nil,bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f70,plain,
( spl0_7
<=> n0 = and(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f410,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(and(n1,X6),connect(X6,X7))),nil,bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f398,f127]) ).
fof(f398,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(and(n1,X6),connect(X6,X7))),nil,bottom(connect(n0,connect(n0,X8))))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_7
| ~ spl0_37 ),
inference(superposition,[],[f381,f72]) ).
fof(f72,plain,
( n0 = and(n1,n0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f6079,plain,
( spl0_176
| ~ spl0_5
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f409,f380,f126,f60,f6077]) ).
fof(f6077,plain,
( spl0_176
<=> ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),connect(X0,X1))),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f60,plain,
( spl0_5
<=> n0 = and(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),connect(X0,X1))),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_5
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f396,f127]) ).
fof(f396,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),connect(X0,X1))),nil,bottom(connect(n0,connect(n0,X2))))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_5
| ~ spl0_37 ),
inference(superposition,[],[f381,f62]) ).
fof(f62,plain,
( n0 = and(n0,n0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f6075,plain,
( spl0_175
| ~ spl0_8
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f405,f380,f126,f75,f6073]) ).
fof(f6073,plain,
( spl0_175
<=> ! [X9,X11,X10] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(and(n1,X10),connect(X10,X11))))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f405,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(and(n1,X10),connect(X10,X11))))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_8
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f392,f127]) ).
fof(f392,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,connect(n1,X9))),nil,bottom(connect(and(n1,X10),connect(X10,X11))))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_8
| ~ spl0_37 ),
inference(superposition,[],[f381,f77]) ).
fof(f6071,plain,
( spl0_174
| ~ spl0_7
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f404,f380,f126,f70,f6069]) ).
fof(f6069,plain,
( spl0_174
<=> ! [X6,X8,X7] :
( circuit(top(connect(n0,X6)),nil,bottom(connect(and(n1,X7),connect(X7,X8))))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f404,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n0,X6)),nil,bottom(connect(and(n1,X7),connect(X7,X8))))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_7
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f391,f127]) ).
fof(f391,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n0,connect(n0,X6))),nil,bottom(connect(and(n1,X7),connect(X7,X8))))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_7
| ~ spl0_37 ),
inference(superposition,[],[f381,f72]) ).
fof(f6067,plain,
( spl0_173
| ~ spl0_5
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f403,f380,f126,f60,f6065]) ).
fof(f6065,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(and(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(and(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_5
| ~ spl0_19
| ~ spl0_37 ),
inference(forward_demodulation,[],[f389,f127]) ).
fof(f389,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,connect(n0,X0))),nil,bottom(connect(and(n0,X1),connect(X1,X2))))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_5
| ~ spl0_37 ),
inference(superposition,[],[f381,f62]) ).
fof(f6063,plain,
( ~ spl0_172
| spl0_4
| ~ spl0_15
| ~ spl0_17
| ~ spl0_144
| ~ spl0_149
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f5986,f5758,f5214,f3192,f116,f108,f55,f6060]) ).
fof(f55,plain,
( spl0_4
<=> circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f116,plain,
( spl0_17
<=> nil = table(n0,n0,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3192,plain,
( spl0_144
<=> nil = table(n0,n1,n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f5214,plain,
( spl0_149
<=> ! [X2,X0,X1] : table(X0,n0,X1,X2) = table(X0,n1,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f5758,plain,
( spl0_167
<=> ! [X2,X0,X1] : table(X0,X1,X2,n0) = table(X0,X1,X2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f5986,plain,
( ~ circuit(top(nil),nil,bottom(nil))
| spl0_4
| ~ spl0_15
| ~ spl0_17
| ~ spl0_144
| ~ spl0_149
| ~ spl0_167 ),
inference(forward_demodulation,[],[f5985,f109]) ).
fof(f5985,plain,
( ~ circuit(top(connect(nil,nil)),nil,bottom(nil))
| spl0_4
| ~ spl0_15
| ~ spl0_17
| ~ spl0_144
| ~ spl0_149
| ~ spl0_167 ),
inference(forward_demodulation,[],[f5984,f118]) ).
fof(f118,plain,
( nil = table(n0,n0,n0,n0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f5984,plain,
( ~ circuit(top(connect(table(n0,n0,n0,n0),nil)),nil,bottom(nil))
| spl0_4
| ~ spl0_15
| ~ spl0_144
| ~ spl0_149
| ~ spl0_167 ),
inference(forward_demodulation,[],[f5983,f5759]) ).
fof(f5759,plain,
( ! [X2,X0,X1] : table(X0,X1,X2,n0) = table(X0,X1,X2,n1)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f5758]) ).
fof(f5983,plain,
( ~ circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(nil))
| spl0_4
| ~ spl0_15
| ~ spl0_144
| ~ spl0_149 ),
inference(forward_demodulation,[],[f5982,f109]) ).
fof(f5982,plain,
( ~ circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(connect(nil,nil)))
| spl0_4
| ~ spl0_144
| ~ spl0_149 ),
inference(forward_demodulation,[],[f5896,f5831]) ).
fof(f5831,plain,
( nil = table(n0,n0,n1,n1)
| ~ spl0_144
| ~ spl0_149 ),
inference(superposition,[],[f5215,f3194]) ).
fof(f3194,plain,
( nil = table(n0,n1,n1,n1)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f5215,plain,
( ! [X2,X0,X1] : table(X0,n0,X1,X2) = table(X0,n1,X1,X2)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f5214]) ).
fof(f5896,plain,
( ~ circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil)))
| spl0_4
| ~ spl0_149 ),
inference(superposition,[],[f57,f5215]) ).
fof(f57,plain,
( ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil)))
| spl0_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f6058,plain,
( spl0_171
| ~ spl0_15
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f401,f380,f108,f6056]) ).
fof(f6056,plain,
( spl0_171
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(and(X1,X2),connect(X2,X3))),nil,bottom(connect(and(X1,nil),X0)))
| ~ circuit(top(connect(X2,X3)),middle(X1),bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f401,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(and(X1,X2),connect(X2,X3))),nil,bottom(connect(and(X1,nil),X0)))
| ~ circuit(top(connect(X2,X3)),middle(X1),bottom(X0)) )
| ~ spl0_15
| ~ spl0_37 ),
inference(superposition,[],[f381,f109]) ).
fof(f6054,plain,
( spl0_170
| ~ spl0_15
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f394,f380,f108,f6052]) ).
fof(f6052,plain,
( spl0_170
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(and(X1,nil),X0)),nil,bottom(connect(and(X1,X2),connect(X2,X3))))
| ~ circuit(top(X0),middle(X1),bottom(connect(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f394,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(and(X1,nil),X0)),nil,bottom(connect(and(X1,X2),connect(X2,X3))))
| ~ circuit(top(X0),middle(X1),bottom(connect(X2,X3))) )
| ~ spl0_15
| ~ spl0_37 ),
inference(superposition,[],[f381,f109]) ).
fof(f6050,plain,
( spl0_169
| ~ spl0_19
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f198,f186,f126,f6048]) ).
fof(f6048,plain,
( spl0_169
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(not(X2),X3)),nil,bottom(connect(not(X0),X1)))
| ~ circuit(top(connect(X2,X3)),nil,bottom(connect(X0,connect(not(X0),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f186,plain,
( spl0_26
<=> ! [X4,X0,X3,X1] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X3,X4)))
| circuit(top(connect(not(X0),X1)),nil,bottom(connect(not(X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f198,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(not(X2),X3)),nil,bottom(connect(not(X0),X1)))
| ~ circuit(top(connect(X2,X3)),nil,bottom(connect(X0,connect(not(X0),X1)))) )
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f187,f127]) ).
fof(f187,plain,
( ! [X3,X0,X1,X4] :
( circuit(top(connect(not(X0),X1)),nil,bottom(connect(not(X3),X4)))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X3,X4))) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f6046,plain,
( spl0_168
| ~ spl0_19
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f194,f186,f126,f6044]) ).
fof(f6044,plain,
( spl0_168
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(not(X0),X1)),nil,bottom(connect(not(X2),X3)))
| ~ circuit(top(connect(X0,connect(not(X0),X1))),nil,bottom(connect(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f194,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(not(X0),X1)),nil,bottom(connect(not(X2),X3)))
| ~ circuit(top(connect(X0,connect(not(X0),X1))),nil,bottom(connect(X2,X3))) )
| ~ spl0_19
| ~ spl0_26 ),
inference(superposition,[],[f187,f127]) ).
fof(f5760,plain,
( spl0_167
| ~ spl0_13
| ~ spl0_17
| ~ spl0_114
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2519,f1076,f1072,f116,f100,f5758]) ).
fof(f100,plain,
( spl0_13
<=> ! [X9] : and(nil,X9) = X9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1072,plain,
( spl0_114
<=> ! [X3,X4,X0,X5,X2,X1] : and(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(and(X0,X3),and(X1,X4),and(X2,X5),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1076,plain,
( spl0_115
<=> ! [X6,X9,X11,X10,X8,X7] : and(table(X6,X7,X8,n0),table(X9,X10,X11,n1)) = table(and(X6,X9),and(X7,X10),and(X8,X11),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2519,plain,
( ! [X2,X0,X1] : table(X0,X1,X2,n0) = table(X0,X1,X2,n1)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_demodulation,[],[f2518,f2430]) ).
fof(f2430,plain,
( ! [X2,X0,X1] : table(X0,X1,X2,n0) = table(and(n0,X0),and(n0,X1),and(n0,X2),n0)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_114 ),
inference(forward_demodulation,[],[f2381,f101]) ).
fof(f101,plain,
( ! [X9] : and(nil,X9) = X9
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f2381,plain,
( ! [X2,X0,X1] : table(and(n0,X0),and(n0,X1),and(n0,X2),n0) = and(nil,table(X0,X1,X2,n0))
| ~ spl0_17
| ~ spl0_114 ),
inference(superposition,[],[f1073,f118]) ).
fof(f1073,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(and(X0,X3),and(X1,X4),and(X2,X5),n0)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f2518,plain,
( ! [X2,X0,X1] : table(X0,X1,X2,n1) = table(and(n0,X0),and(n0,X1),and(n0,X2),n0)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_115 ),
inference(forward_demodulation,[],[f2469,f101]) ).
fof(f2469,plain,
( ! [X2,X0,X1] : table(and(n0,X0),and(n0,X1),and(n0,X2),n0) = and(nil,table(X0,X1,X2,n1))
| ~ spl0_17
| ~ spl0_115 ),
inference(superposition,[],[f1077,f118]) ).
fof(f1077,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,X7,X8,n0),table(X9,X10,X11,n1)) = table(and(X6,X9),and(X7,X10),and(X8,X11),n0)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f5284,plain,
( spl0_166
| ~ spl0_12
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f374,f346,f95,f5282]) ).
fof(f5282,plain,
( spl0_166
<=> ! [X9,X11,X10] :
( circuit(top(connect(or(n1,X9),X10)),middle(n1),bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f95,plain,
( spl0_12
<=> n1 = or(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f346,plain,
( spl0_36
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),X1)),middle(X2),bottom(connect(or(X2,X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f374,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(or(n1,X9),X10)),middle(n1),bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_12
| ~ spl0_36 ),
inference(superposition,[],[f347,f97]) ).
fof(f97,plain,
( n1 = or(n1,n1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f347,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(or(X2,X0),X1)),middle(X2),bottom(connect(or(X2,X3),X4)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f5280,plain,
( spl0_165
| ~ spl0_11
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f373,f346,f90,f5278]) ).
fof(f5278,plain,
( spl0_165
<=> ! [X6,X8,X7] :
( circuit(top(connect(or(n1,X6),X7)),middle(n1),bottom(connect(n1,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f90,plain,
( spl0_11
<=> n1 = or(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f373,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(or(n1,X6),X7)),middle(n1),bottom(connect(n1,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_11
| ~ spl0_36 ),
inference(superposition,[],[f347,f92]) ).
fof(f92,plain,
( n1 = or(n1,n0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f5276,plain,
( spl0_164
| ~ spl0_10
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f372,f346,f85,f5274]) ).
fof(f5274,plain,
( spl0_164
<=> ! [X4,X5,X3] :
( circuit(top(connect(or(n0,X3),X4)),middle(n0),bottom(connect(n1,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f372,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(or(n0,X3),X4)),middle(n0),bottom(connect(n1,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) )
| ~ spl0_10
| ~ spl0_36 ),
inference(superposition,[],[f347,f87]) ).
fof(f5272,plain,
( spl0_163
| ~ spl0_9
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f371,f346,f80,f5270]) ).
fof(f5270,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( circuit(top(connect(or(n0,X0),X1)),middle(n0),bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(or(n0,X0),X1)),middle(n0),bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_9
| ~ spl0_36 ),
inference(superposition,[],[f347,f82]) ).
fof(f5268,plain,
( spl0_162
| ~ spl0_12
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f368,f346,f95,f5266]) ).
fof(f5266,plain,
( spl0_162
<=> ! [X9,X11,X10] :
( circuit(top(connect(n1,X9)),middle(n1),bottom(connect(or(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f368,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,X9)),middle(n1),bottom(connect(or(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_12
| ~ spl0_36 ),
inference(superposition,[],[f347,f97]) ).
fof(f5264,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f367,f346,f90,f5262]) ).
fof(f5262,plain,
( spl0_161
<=> ! [X6,X8,X7] :
( circuit(top(connect(n1,X6)),middle(n1),bottom(connect(or(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f367,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n1,X6)),middle(n1),bottom(connect(or(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_11
| ~ spl0_36 ),
inference(superposition,[],[f347,f92]) ).
fof(f5260,plain,
( spl0_160
| ~ spl0_13
| ~ spl0_17
| ~ spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1970,f1054,f1050,f116,f100,f5258]) ).
fof(f5258,plain,
( spl0_160
<=> ! [X2,X0,X1] : table(X0,X1,n0,X2) = table(X0,X1,n1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1050,plain,
( spl0_109
<=> ! [X3,X4,X0,X5,X2,X1] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1054,plain,
( spl0_110
<=> ! [X6,X9,X11,X10,X8,X7] : and(table(X6,X7,n0,X8),table(X9,X10,n1,X11)) = table(and(X6,X9),and(X7,X10),n0,and(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1970,plain,
( ! [X2,X0,X1] : table(X0,X1,n0,X2) = table(X0,X1,n1,X2)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1969,f1907]) ).
fof(f1907,plain,
( ! [X2,X0,X1] : table(X0,X1,n0,X2) = table(and(n0,X0),and(n0,X1),n0,and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_109 ),
inference(forward_demodulation,[],[f1870,f101]) ).
fof(f1870,plain,
( ! [X2,X0,X1] : table(and(n0,X0),and(n0,X1),n0,and(n0,X2)) = and(nil,table(X0,X1,n0,X2))
| ~ spl0_17
| ~ spl0_109 ),
inference(superposition,[],[f1051,f118]) ).
fof(f1051,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5))
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1969,plain,
( ! [X2,X0,X1] : table(X0,X1,n1,X2) = table(and(n0,X0),and(n0,X1),n0,and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1932,f101]) ).
fof(f1932,plain,
( ! [X2,X0,X1] : table(and(n0,X0),and(n0,X1),n0,and(n0,X2)) = and(nil,table(X0,X1,n1,X2))
| ~ spl0_17
| ~ spl0_110 ),
inference(superposition,[],[f1055,f118]) ).
fof(f1055,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,X7,n0,X8),table(X9,X10,n1,X11)) = table(and(X6,X9),and(X7,X10),n0,and(X8,X11))
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f5256,plain,
( spl0_159
| ~ spl0_10
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f366,f346,f85,f5254]) ).
fof(f5254,plain,
( spl0_159
<=> ! [X4,X5,X3] :
( circuit(top(connect(n1,X3)),middle(n0),bottom(connect(or(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f366,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n1,X3)),middle(n0),bottom(connect(or(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_10
| ~ spl0_36 ),
inference(superposition,[],[f347,f87]) ).
fof(f5252,plain,
( spl0_158
| ~ spl0_9
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f365,f346,f80,f5250]) ).
fof(f5250,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),middle(n0),bottom(connect(or(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f365,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),middle(n0),bottom(connect(or(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_9
| ~ spl0_36 ),
inference(superposition,[],[f347,f82]) ).
fof(f5248,plain,
( spl0_157
| ~ spl0_8
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f359,f340,f75,f5246]) ).
fof(f5246,plain,
( spl0_157
<=> ! [X9,X11,X10] :
( circuit(top(connect(and(n1,X9),X10)),middle(n1),bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f340,plain,
( spl0_35
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),X1)),middle(X2),bottom(connect(and(X2,X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f359,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(and(n1,X9),X10)),middle(n1),bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_8
| ~ spl0_35 ),
inference(superposition,[],[f341,f77]) ).
fof(f341,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(and(X2,X0),X1)),middle(X2),bottom(connect(and(X2,X3),X4)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f5244,plain,
( spl0_156
| ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f358,f340,f70,f5242]) ).
fof(f5242,plain,
( spl0_156
<=> ! [X6,X8,X7] :
( circuit(top(connect(and(n1,X6),X7)),middle(n1),bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f358,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(and(n1,X6),X7)),middle(n1),bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_7
| ~ spl0_35 ),
inference(superposition,[],[f341,f72]) ).
fof(f5240,plain,
( spl0_155
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f357,f340,f65,f5238]) ).
fof(f5238,plain,
( spl0_155
<=> ! [X4,X5,X3] :
( circuit(top(connect(and(n0,X3),X4)),middle(n0),bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f65,plain,
( spl0_6
<=> n0 = and(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f357,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(and(n0,X3),X4)),middle(n0),bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) )
| ~ spl0_6
| ~ spl0_35 ),
inference(superposition,[],[f341,f67]) ).
fof(f67,plain,
( n0 = and(n0,n1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f5236,plain,
( spl0_154
| ~ spl0_5
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f356,f340,f60,f5234]) ).
fof(f5234,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),X1)),middle(n0),bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f356,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),X1)),middle(n0),bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_5
| ~ spl0_35 ),
inference(superposition,[],[f341,f62]) ).
fof(f5232,plain,
( spl0_153
| ~ spl0_8
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f353,f340,f75,f5230]) ).
fof(f5230,plain,
( spl0_153
<=> ! [X9,X11,X10] :
( circuit(top(connect(n1,X9)),middle(n1),bottom(connect(and(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f353,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,X9)),middle(n1),bottom(connect(and(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_8
| ~ spl0_35 ),
inference(superposition,[],[f341,f77]) ).
fof(f5228,plain,
( spl0_152
| ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f352,f340,f70,f5226]) ).
fof(f5226,plain,
( spl0_152
<=> ! [X6,X8,X7] :
( circuit(top(connect(n0,X6)),middle(n1),bottom(connect(and(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f352,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n0,X6)),middle(n1),bottom(connect(and(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_7
| ~ spl0_35 ),
inference(superposition,[],[f341,f72]) ).
fof(f5224,plain,
( spl0_151
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f351,f340,f65,f5222]) ).
fof(f5222,plain,
( spl0_151
<=> ! [X4,X5,X3] :
( circuit(top(connect(n0,X3)),middle(n0),bottom(connect(and(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f351,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n0,X3)),middle(n0),bottom(connect(and(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_6
| ~ spl0_35 ),
inference(superposition,[],[f341,f67]) ).
fof(f5220,plain,
( spl0_150
| ~ spl0_5
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f350,f340,f60,f5218]) ).
fof(f5218,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),middle(n0),bottom(connect(and(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f350,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),middle(n0),bottom(connect(and(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_5
| ~ spl0_35 ),
inference(superposition,[],[f341,f62]) ).
fof(f5216,plain,
( spl0_149
| ~ spl0_13
| ~ spl0_17
| ~ spl0_104
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1609,f1034,f1030,f116,f100,f5214]) ).
fof(f1030,plain,
( spl0_104
<=> ! [X3,X4,X0,X5,X2,X1] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1034,plain,
( spl0_105
<=> ! [X6,X9,X11,X10,X8,X7] : and(table(X6,n0,X7,X8),table(X9,n1,X10,X11)) = table(and(X6,X9),n0,and(X7,X10),and(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1609,plain,
( ! [X2,X0,X1] : table(X0,n0,X1,X2) = table(X0,n1,X1,X2)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_104
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1608,f1568]) ).
fof(f1568,plain,
( ! [X2,X0,X1] : table(X0,n0,X1,X2) = table(and(n0,X0),n0,and(n0,X1),and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_104 ),
inference(forward_demodulation,[],[f1541,f101]) ).
fof(f1541,plain,
( ! [X2,X0,X1] : table(and(n0,X0),n0,and(n0,X1),and(n0,X2)) = and(nil,table(X0,n0,X1,X2))
| ~ spl0_17
| ~ spl0_104 ),
inference(superposition,[],[f1031,f118]) ).
fof(f1031,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1608,plain,
( ! [X2,X0,X1] : table(X0,n1,X1,X2) = table(and(n0,X0),n0,and(n0,X1),and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_105 ),
inference(forward_demodulation,[],[f1581,f101]) ).
fof(f1581,plain,
( ! [X2,X0,X1] : table(and(n0,X0),n0,and(n0,X1),and(n0,X2)) = and(nil,table(X0,n1,X1,X2))
| ~ spl0_17
| ~ spl0_105 ),
inference(superposition,[],[f1035,f118]) ).
fof(f1035,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,n0,X7,X8),table(X9,n1,X10,X11)) = table(and(X6,X9),n0,and(X7,X10),and(X8,X11))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f5212,plain,
( spl0_148
| ~ spl0_23
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f284,f256,f160,f5210]) ).
fof(f5210,plain,
( spl0_148
<=> ! [X5,X9,X7,X6,X8] :
( ~ circuit(top(connect(X5,X6)),middle(X7),bottom(connect(X8,X9)))
| circuit(top(X6),middle(and(or(X7,X5),or(X7,X8))),bottom(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f160,plain,
( spl0_23
<=> ! [X5,X0,X6,X1] :
( circuit(top(X1),middle(and(X0,X5)),bottom(X6))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f256,plain,
( spl0_32
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),X1)),nil,bottom(connect(or(X2,X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f284,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ circuit(top(connect(X5,X6)),middle(X7),bottom(connect(X8,X9)))
| circuit(top(X6),middle(and(or(X7,X5),or(X7,X8))),bottom(X9)) )
| ~ spl0_23
| ~ spl0_32 ),
inference(resolution,[],[f257,f161]) ).
fof(f161,plain,
( ! [X0,X1,X6,X5] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(X1),middle(and(X0,X5)),bottom(X6)) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f257,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(or(X2,X0),X1)),nil,bottom(connect(or(X2,X3),X4)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f5208,plain,
( spl0_147
| ~ spl0_25
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f283,f256,f168,f5206]) ).
fof(f5206,plain,
( spl0_147
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(X1),middle(or(or(X2,X0),or(X2,X3))),bottom(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f168,plain,
( spl0_25
<=> ! [X5,X0,X6,X1] :
( circuit(top(X1),middle(or(X0,X5)),bottom(X6))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f283,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(X1),middle(or(or(X2,X0),or(X2,X3))),bottom(X4)) )
| ~ spl0_25
| ~ spl0_32 ),
inference(resolution,[],[f257,f169]) ).
fof(f169,plain,
( ! [X0,X1,X6,X5] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(X1),middle(or(X0,X5)),bottom(X6)) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f5204,plain,
( spl0_146
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f268,f252,f160,f5202]) ).
fof(f5202,plain,
( spl0_146
<=> ! [X5,X9,X7,X6,X8] :
( ~ circuit(top(connect(X5,X6)),middle(X7),bottom(connect(X8,X9)))
| circuit(top(X6),middle(and(and(X7,X5),and(X7,X8))),bottom(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f252,plain,
( spl0_31
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),X1)),nil,bottom(connect(and(X2,X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f268,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ circuit(top(connect(X5,X6)),middle(X7),bottom(connect(X8,X9)))
| circuit(top(X6),middle(and(and(X7,X5),and(X7,X8))),bottom(X9)) )
| ~ spl0_23
| ~ spl0_31 ),
inference(resolution,[],[f253,f161]) ).
fof(f253,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(and(X2,X0),X1)),nil,bottom(connect(and(X2,X3),X4)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f5200,plain,
( spl0_145
| ~ spl0_25
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f267,f252,f168,f5198]) ).
fof(f5198,plain,
( spl0_145
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(X1),middle(or(and(X2,X0),and(X2,X3))),bottom(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f267,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(X1),middle(or(and(X2,X0),and(X2,X3))),bottom(X4)) )
| ~ spl0_25
| ~ spl0_31 ),
inference(resolution,[],[f253,f169]) ).
fof(f3195,plain,
( spl0_144
| ~ spl0_18
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2244,f1506,f121,f3192]) ).
fof(f121,plain,
( spl0_18
<=> nil = table(n1,n1,n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1506,plain,
( spl0_143
<=> ! [X2,X0,X1] : table(n0,X0,X1,X2) = table(n1,X0,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f2244,plain,
( nil = table(n0,n1,n1,n1)
| ~ spl0_18
| ~ spl0_143 ),
inference(superposition,[],[f1507,f123]) ).
fof(f123,plain,
( nil = table(n1,n1,n1,n1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1507,plain,
( ! [X2,X0,X1] : table(n0,X0,X1,X2) = table(n1,X0,X1,X2)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1508,plain,
( spl0_143
| ~ spl0_13
| ~ spl0_17
| ~ spl0_98
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1371,f1010,f1006,f116,f100,f1506]) ).
fof(f1006,plain,
( spl0_98
<=> ! [X3,X4,X0,X5,X2,X1] : and(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,and(X0,X3),and(X1,X4),and(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1010,plain,
( spl0_99
<=> ! [X6,X9,X11,X10,X8,X7] : and(table(n0,X6,X7,X8),table(n1,X9,X10,X11)) = table(n0,and(X6,X9),and(X7,X10),and(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1371,plain,
( ! [X2,X0,X1] : table(n0,X0,X1,X2) = table(n1,X0,X1,X2)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_demodulation,[],[f1370,f1352]) ).
fof(f1352,plain,
( ! [X2,X0,X1] : table(n0,X0,X1,X2) = table(n0,and(n0,X0),and(n0,X1),and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1335,f101]) ).
fof(f1335,plain,
( ! [X2,X0,X1] : table(n0,and(n0,X0),and(n0,X1),and(n0,X2)) = and(nil,table(n0,X0,X1,X2))
| ~ spl0_17
| ~ spl0_98 ),
inference(superposition,[],[f1007,f118]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,and(X0,X3),and(X1,X4),and(X2,X5))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1370,plain,
( ! [X2,X0,X1] : table(n1,X0,X1,X2) = table(n0,and(n0,X0),and(n0,X1),and(n0,X2))
| ~ spl0_13
| ~ spl0_17
| ~ spl0_99 ),
inference(forward_demodulation,[],[f1353,f101]) ).
fof(f1353,plain,
( ! [X2,X0,X1] : table(n0,and(n0,X0),and(n0,X1),and(n0,X2)) = and(nil,table(n1,X0,X1,X2))
| ~ spl0_17
| ~ spl0_99 ),
inference(superposition,[],[f1011,f118]) ).
fof(f1011,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(n0,X6,X7,X8),table(n1,X9,X10,X11)) = table(n0,and(X6,X9),and(X7,X10),and(X8,X11))
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1292,plain,
( spl0_142
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f545,f490,f45,f1290]) ).
fof(f1290,plain,
( spl0_142
<=> ! [X2,X3] : not(table(n0,X2,n1,X3)) = table(n1,not(X2),n0,not(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f45,plain,
( spl0_2
<=> n0 = not(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f490,plain,
( spl0_41
<=> ! [X2,X0,X1] : not(table(n0,X0,X1,X2)) = table(n1,not(X0),not(X1),not(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f545,plain,
( ! [X2,X3] : not(table(n0,X2,n1,X3)) = table(n1,not(X2),n0,not(X3))
| ~ spl0_2
| ~ spl0_41 ),
inference(superposition,[],[f491,f47]) ).
fof(f47,plain,
( n0 = not(n1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f491,plain,
( ! [X2,X0,X1] : not(table(n0,X0,X1,X2)) = table(n1,not(X0),not(X1),not(X2))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f1218,plain,
( spl0_141
| ~ spl0_1
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f544,f490,f40,f1216]) ).
fof(f1216,plain,
( spl0_141
<=> ! [X0,X1] : not(table(n0,X0,n0,X1)) = table(n1,not(X0),n1,not(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f40,plain,
( spl0_1
<=> n1 = not(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f544,plain,
( ! [X0,X1] : not(table(n0,X0,n0,X1)) = table(n1,not(X0),n1,not(X1))
| ~ spl0_1
| ~ spl0_41 ),
inference(superposition,[],[f491,f42]) ).
fof(f42,plain,
( n1 = not(n0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f1178,plain,
( spl0_140
| ~ spl0_14
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f338,f264,f104,f1176]) ).
fof(f1176,plain,
( spl0_140
<=> ! [X28,X24,X29,X27,X25,X26,X30] : or(table(X25,X26,X27,nil),table(X28,X29,X30,X24)) = table(or(X25,X28),or(X26,X29),or(X27,X30),X24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f104,plain,
( spl0_14
<=> ! [X9] : or(nil,X9) = X9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f264,plain,
( spl0_34
<=> ! [X5,X6,X11,X13,X0,X12,X1,X7] : or(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(or(X0,X5),or(X1,X6),or(X7,X12),or(X11,X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f338,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : or(table(X25,X26,X27,nil),table(X28,X29,X30,X24)) = table(or(X25,X28),or(X26,X29),or(X27,X30),X24)
| ~ spl0_14
| ~ spl0_34 ),
inference(superposition,[],[f265,f105]) ).
fof(f105,plain,
( ! [X9] : or(nil,X9) = X9
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f265,plain,
( ! [X0,X11,X1,X6,X7,X5,X12,X13] : or(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(or(X0,X5),or(X1,X6),or(X7,X12),or(X11,X13))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f1174,plain,
( spl0_139
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f337,f264,f95,f1172]) ).
fof(f1172,plain,
( spl0_139
<=> ! [X18,X19,X20,X21,X23,X22] : or(table(X18,X19,X20,n1),table(X21,X22,X23,n1)) = table(or(X18,X21),or(X19,X22),or(X20,X23),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f337,plain,
( ! [X21,X18,X19,X22,X23,X20] : or(table(X18,X19,X20,n1),table(X21,X22,X23,n1)) = table(or(X18,X21),or(X19,X22),or(X20,X23),n1)
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f265,f97]) ).
fof(f1170,plain,
( spl0_138
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f336,f264,f90,f1168]) ).
fof(f1168,plain,
( spl0_138
<=> ! [X17,X13,X14,X12,X16,X15] : or(table(X12,X13,X14,n1),table(X15,X16,X17,n0)) = table(or(X12,X15),or(X13,X16),or(X14,X17),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f336,plain,
( ! [X16,X14,X17,X15,X12,X13] : or(table(X12,X13,X14,n1),table(X15,X16,X17,n0)) = table(or(X12,X15),or(X13,X16),or(X14,X17),n1)
| ~ spl0_11
| ~ spl0_34 ),
inference(superposition,[],[f265,f92]) ).
fof(f1166,plain,
( spl0_137
| ~ spl0_10
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f335,f264,f85,f1164]) ).
fof(f1164,plain,
( spl0_137
<=> ! [X6,X9,X11,X10,X8,X7] : or(table(X6,X7,X8,n0),table(X9,X10,X11,n1)) = table(or(X6,X9),or(X7,X10),or(X8,X11),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f335,plain,
( ! [X10,X11,X8,X6,X9,X7] : or(table(X6,X7,X8,n0),table(X9,X10,X11,n1)) = table(or(X6,X9),or(X7,X10),or(X8,X11),n1)
| ~ spl0_10
| ~ spl0_34 ),
inference(superposition,[],[f265,f87]) ).
fof(f1162,plain,
( spl0_136
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f334,f264,f80,f1160]) ).
fof(f1160,plain,
( spl0_136
<=> ! [X3,X4,X0,X5,X2,X1] : or(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(or(X0,X3),or(X1,X4),or(X2,X5),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f334,plain,
( ! [X2,X3,X0,X1,X4,X5] : or(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(or(X0,X3),or(X1,X4),or(X2,X5),n0)
| ~ spl0_9
| ~ spl0_34 ),
inference(superposition,[],[f265,f82]) ).
fof(f1158,plain,
( spl0_135
| ~ spl0_14
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f333,f264,f104,f1156]) ).
fof(f1156,plain,
( spl0_135
<=> ! [X28,X24,X29,X27,X25,X26,X30] : or(table(X25,X26,nil,X27),table(X28,X29,X24,X30)) = table(or(X25,X28),or(X26,X29),X24,or(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f333,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : or(table(X25,X26,nil,X27),table(X28,X29,X24,X30)) = table(or(X25,X28),or(X26,X29),X24,or(X27,X30))
| ~ spl0_14
| ~ spl0_34 ),
inference(superposition,[],[f265,f105]) ).
fof(f1154,plain,
( spl0_134
| ~ spl0_3
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f543,f490,f50,f1152]) ).
fof(f1152,plain,
( spl0_134
<=> ! [X4,X5] : not(table(n0,nil,X4,X5)) = table(n1,nil,not(X4),not(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f50,plain,
( spl0_3
<=> nil = not(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f543,plain,
( ! [X4,X5] : not(table(n0,nil,X4,X5)) = table(n1,nil,not(X4),not(X5))
| ~ spl0_3
| ~ spl0_41 ),
inference(superposition,[],[f491,f52]) ).
fof(f52,plain,
( nil = not(nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f1150,plain,
( spl0_133
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f332,f264,f95,f1148]) ).
fof(f1148,plain,
( spl0_133
<=> ! [X18,X19,X20,X21,X23,X22] : or(table(X18,X19,n1,X20),table(X21,X22,n1,X23)) = table(or(X18,X21),or(X19,X22),n1,or(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f332,plain,
( ! [X21,X18,X19,X22,X23,X20] : or(table(X18,X19,n1,X20),table(X21,X22,n1,X23)) = table(or(X18,X21),or(X19,X22),n1,or(X20,X23))
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f265,f97]) ).
fof(f1146,plain,
( spl0_132
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f331,f264,f90,f1144]) ).
fof(f1144,plain,
( spl0_132
<=> ! [X17,X13,X14,X12,X16,X15] : or(table(X12,X13,n1,X14),table(X15,X16,n0,X17)) = table(or(X12,X15),or(X13,X16),n1,or(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f331,plain,
( ! [X16,X14,X17,X15,X12,X13] : or(table(X12,X13,n1,X14),table(X15,X16,n0,X17)) = table(or(X12,X15),or(X13,X16),n1,or(X14,X17))
| ~ spl0_11
| ~ spl0_34 ),
inference(superposition,[],[f265,f92]) ).
fof(f1142,plain,
( spl0_131
| ~ spl0_10
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f330,f264,f85,f1140]) ).
fof(f1140,plain,
( spl0_131
<=> ! [X6,X9,X11,X10,X8,X7] : or(table(X6,X7,n0,X8),table(X9,X10,n1,X11)) = table(or(X6,X9),or(X7,X10),n1,or(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f330,plain,
( ! [X10,X11,X8,X6,X9,X7] : or(table(X6,X7,n0,X8),table(X9,X10,n1,X11)) = table(or(X6,X9),or(X7,X10),n1,or(X8,X11))
| ~ spl0_10
| ~ spl0_34 ),
inference(superposition,[],[f265,f87]) ).
fof(f1138,plain,
( spl0_130
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f329,f264,f80,f1136]) ).
fof(f1136,plain,
( spl0_130
<=> ! [X3,X4,X0,X5,X2,X1] : or(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(or(X0,X3),or(X1,X4),n0,or(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f329,plain,
( ! [X2,X3,X0,X1,X4,X5] : or(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(or(X0,X3),or(X1,X4),n0,or(X2,X5))
| ~ spl0_9
| ~ spl0_34 ),
inference(superposition,[],[f265,f82]) ).
fof(f1134,plain,
( spl0_129
| ~ spl0_14
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f328,f264,f104,f1132]) ).
fof(f1132,plain,
( spl0_129
<=> ! [X28,X24,X29,X27,X25,X26,X30] : or(table(X25,nil,X26,X27),table(X28,X24,X29,X30)) = table(or(X25,X28),X24,or(X26,X29),or(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f328,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : or(table(X25,nil,X26,X27),table(X28,X24,X29,X30)) = table(or(X25,X28),X24,or(X26,X29),or(X27,X30))
| ~ spl0_14
| ~ spl0_34 ),
inference(superposition,[],[f265,f105]) ).
fof(f1130,plain,
( spl0_128
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f327,f264,f95,f1128]) ).
fof(f1128,plain,
( spl0_128
<=> ! [X18,X19,X20,X21,X23,X22] : or(table(X18,n1,X19,X20),table(X21,n1,X22,X23)) = table(or(X18,X21),n1,or(X19,X22),or(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f327,plain,
( ! [X21,X18,X19,X22,X23,X20] : or(table(X18,n1,X19,X20),table(X21,n1,X22,X23)) = table(or(X18,X21),n1,or(X19,X22),or(X20,X23))
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f265,f97]) ).
fof(f1126,plain,
( spl0_127
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f326,f264,f90,f1124]) ).
fof(f1124,plain,
( spl0_127
<=> ! [X17,X13,X14,X12,X16,X15] : or(table(X12,n1,X13,X14),table(X15,n0,X16,X17)) = table(or(X12,X15),n1,or(X13,X16),or(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f326,plain,
( ! [X16,X14,X17,X15,X12,X13] : or(table(X12,n1,X13,X14),table(X15,n0,X16,X17)) = table(or(X12,X15),n1,or(X13,X16),or(X14,X17))
| ~ spl0_11
| ~ spl0_34 ),
inference(superposition,[],[f265,f92]) ).
fof(f1122,plain,
( spl0_126
| ~ spl0_10
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f325,f264,f85,f1120]) ).
fof(f1120,plain,
( spl0_126
<=> ! [X6,X9,X11,X10,X8,X7] : or(table(X6,n0,X7,X8),table(X9,n1,X10,X11)) = table(or(X6,X9),n1,or(X7,X10),or(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f325,plain,
( ! [X10,X11,X8,X6,X9,X7] : or(table(X6,n0,X7,X8),table(X9,n1,X10,X11)) = table(or(X6,X9),n1,or(X7,X10),or(X8,X11))
| ~ spl0_10
| ~ spl0_34 ),
inference(superposition,[],[f265,f87]) ).
fof(f1118,plain,
( spl0_125
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f324,f264,f80,f1116]) ).
fof(f1116,plain,
( spl0_125
<=> ! [X3,X4,X0,X5,X2,X1] : or(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(or(X0,X3),n0,or(X1,X4),or(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f324,plain,
( ! [X2,X3,X0,X1,X4,X5] : or(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(or(X0,X3),n0,or(X1,X4),or(X2,X5))
| ~ spl0_9
| ~ spl0_34 ),
inference(superposition,[],[f265,f82]) ).
fof(f1114,plain,
( spl0_124
| ~ spl0_14
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f323,f264,f104,f1112]) ).
fof(f1112,plain,
( spl0_124
<=> ! [X28,X24,X29,X27,X25,X26,X30] : or(table(nil,X25,X26,X27),table(X24,X28,X29,X30)) = table(X24,or(X25,X28),or(X26,X29),or(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f323,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : or(table(nil,X25,X26,X27),table(X24,X28,X29,X30)) = table(X24,or(X25,X28),or(X26,X29),or(X27,X30))
| ~ spl0_14
| ~ spl0_34 ),
inference(superposition,[],[f265,f105]) ).
fof(f1110,plain,
( spl0_123
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f542,f490,f45,f1108]) ).
fof(f1108,plain,
( spl0_123
<=> ! [X2,X3] : not(table(n0,n1,X2,X3)) = table(n1,n0,not(X2),not(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f542,plain,
( ! [X2,X3] : not(table(n0,n1,X2,X3)) = table(n1,n0,not(X2),not(X3))
| ~ spl0_2
| ~ spl0_41 ),
inference(superposition,[],[f491,f47]) ).
fof(f1106,plain,
( spl0_122
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f322,f264,f95,f1104]) ).
fof(f1104,plain,
( spl0_122
<=> ! [X18,X19,X20,X21,X23,X22] : or(table(n1,X18,X19,X20),table(n1,X21,X22,X23)) = table(n1,or(X18,X21),or(X19,X22),or(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f322,plain,
( ! [X21,X18,X19,X22,X23,X20] : or(table(n1,X18,X19,X20),table(n1,X21,X22,X23)) = table(n1,or(X18,X21),or(X19,X22),or(X20,X23))
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f265,f97]) ).
fof(f1102,plain,
( spl0_121
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f321,f264,f90,f1100]) ).
fof(f1100,plain,
( spl0_121
<=> ! [X17,X13,X14,X12,X16,X15] : or(table(n1,X12,X13,X14),table(n0,X15,X16,X17)) = table(n1,or(X12,X15),or(X13,X16),or(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f321,plain,
( ! [X16,X14,X17,X15,X12,X13] : or(table(n1,X12,X13,X14),table(n0,X15,X16,X17)) = table(n1,or(X12,X15),or(X13,X16),or(X14,X17))
| ~ spl0_11
| ~ spl0_34 ),
inference(superposition,[],[f265,f92]) ).
fof(f1098,plain,
( spl0_120
| ~ spl0_10
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f320,f264,f85,f1096]) ).
fof(f1096,plain,
( spl0_120
<=> ! [X6,X9,X11,X10,X8,X7] : or(table(n0,X6,X7,X8),table(n1,X9,X10,X11)) = table(n1,or(X6,X9),or(X7,X10),or(X8,X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f320,plain,
( ! [X10,X11,X8,X6,X9,X7] : or(table(n0,X6,X7,X8),table(n1,X9,X10,X11)) = table(n1,or(X6,X9),or(X7,X10),or(X8,X11))
| ~ spl0_10
| ~ spl0_34 ),
inference(superposition,[],[f265,f87]) ).
fof(f1094,plain,
( spl0_119
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f319,f264,f80,f1092]) ).
fof(f1092,plain,
( spl0_119
<=> ! [X3,X4,X0,X5,X2,X1] : or(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,or(X0,X3),or(X1,X4),or(X2,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f319,plain,
( ! [X2,X3,X0,X1,X4,X5] : or(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,or(X0,X3),or(X1,X4),or(X2,X5))
| ~ spl0_9
| ~ spl0_34 ),
inference(superposition,[],[f265,f82]) ).
fof(f1090,plain,
( spl0_118
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f318,f260,f100,f1088]) ).
fof(f1088,plain,
( spl0_118
<=> ! [X28,X24,X29,X27,X25,X26,X30] : and(table(X25,X26,X27,nil),table(X28,X29,X30,X24)) = table(and(X25,X28),and(X26,X29),and(X27,X30),X24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f260,plain,
( spl0_33
<=> ! [X5,X6,X11,X13,X0,X12,X1,X7] : and(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(and(X0,X5),and(X1,X6),and(X7,X12),and(X11,X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f318,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : and(table(X25,X26,X27,nil),table(X28,X29,X30,X24)) = table(and(X25,X28),and(X26,X29),and(X27,X30),X24)
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f261,f101]) ).
fof(f261,plain,
( ! [X0,X11,X1,X6,X7,X5,X12,X13] : and(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(and(X0,X5),and(X1,X6),and(X7,X12),and(X11,X13))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f1086,plain,
( spl0_117
| ~ spl0_8
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f317,f260,f75,f1084]) ).
fof(f1084,plain,
( spl0_117
<=> ! [X18,X19,X20,X21,X23,X22] : and(table(X18,X19,X20,n1),table(X21,X22,X23,n1)) = table(and(X18,X21),and(X19,X22),and(X20,X23),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f317,plain,
( ! [X21,X18,X19,X22,X23,X20] : and(table(X18,X19,X20,n1),table(X21,X22,X23,n1)) = table(and(X18,X21),and(X19,X22),and(X20,X23),n1)
| ~ spl0_8
| ~ spl0_33 ),
inference(superposition,[],[f261,f77]) ).
fof(f1082,plain,
( spl0_116
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f316,f260,f70,f1080]) ).
fof(f1080,plain,
( spl0_116
<=> ! [X17,X13,X14,X12,X16,X15] : and(table(X12,X13,X14,n1),table(X15,X16,X17,n0)) = table(and(X12,X15),and(X13,X16),and(X14,X17),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f316,plain,
( ! [X16,X14,X17,X15,X12,X13] : and(table(X12,X13,X14,n1),table(X15,X16,X17,n0)) = table(and(X12,X15),and(X13,X16),and(X14,X17),n0)
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f261,f72]) ).
fof(f1078,plain,
( spl0_115
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f315,f260,f65,f1076]) ).
fof(f315,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,X7,X8,n0),table(X9,X10,X11,n1)) = table(and(X6,X9),and(X7,X10),and(X8,X11),n0)
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f261,f67]) ).
fof(f1074,plain,
( spl0_114
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f314,f260,f60,f1072]) ).
fof(f314,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,X2,n0),table(X3,X4,X5,n0)) = table(and(X0,X3),and(X1,X4),and(X2,X5),n0)
| ~ spl0_5
| ~ spl0_33 ),
inference(superposition,[],[f261,f62]) ).
fof(f1070,plain,
( spl0_113
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f313,f260,f100,f1068]) ).
fof(f1068,plain,
( spl0_113
<=> ! [X28,X24,X29,X27,X25,X26,X30] : and(table(X25,X26,nil,X27),table(X28,X29,X24,X30)) = table(and(X25,X28),and(X26,X29),X24,and(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f313,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : and(table(X25,X26,nil,X27),table(X28,X29,X24,X30)) = table(and(X25,X28),and(X26,X29),X24,and(X27,X30))
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f261,f101]) ).
fof(f1064,plain,
( spl0_112
| ~ spl0_8
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f312,f260,f75,f1062]) ).
fof(f1062,plain,
( spl0_112
<=> ! [X18,X19,X20,X21,X23,X22] : and(table(X18,X19,n1,X20),table(X21,X22,n1,X23)) = table(and(X18,X21),and(X19,X22),n1,and(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f312,plain,
( ! [X21,X18,X19,X22,X23,X20] : and(table(X18,X19,n1,X20),table(X21,X22,n1,X23)) = table(and(X18,X21),and(X19,X22),n1,and(X20,X23))
| ~ spl0_8
| ~ spl0_33 ),
inference(superposition,[],[f261,f77]) ).
fof(f1060,plain,
( spl0_111
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f311,f260,f70,f1058]) ).
fof(f1058,plain,
( spl0_111
<=> ! [X17,X13,X14,X12,X16,X15] : and(table(X12,X13,n1,X14),table(X15,X16,n0,X17)) = table(and(X12,X15),and(X13,X16),n0,and(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f311,plain,
( ! [X16,X14,X17,X15,X12,X13] : and(table(X12,X13,n1,X14),table(X15,X16,n0,X17)) = table(and(X12,X15),and(X13,X16),n0,and(X14,X17))
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f261,f72]) ).
fof(f1056,plain,
( spl0_110
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f310,f260,f65,f1054]) ).
fof(f310,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,X7,n0,X8),table(X9,X10,n1,X11)) = table(and(X6,X9),and(X7,X10),n0,and(X8,X11))
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f261,f67]) ).
fof(f1052,plain,
( spl0_109
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f309,f260,f60,f1050]) ).
fof(f309,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5))
| ~ spl0_5
| ~ spl0_33 ),
inference(superposition,[],[f261,f62]) ).
fof(f1048,plain,
( spl0_108
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f308,f260,f100,f1046]) ).
fof(f1046,plain,
( spl0_108
<=> ! [X28,X24,X29,X27,X25,X26,X30] : and(table(X25,nil,X26,X27),table(X28,X24,X29,X30)) = table(and(X25,X28),X24,and(X26,X29),and(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f308,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : and(table(X25,nil,X26,X27),table(X28,X24,X29,X30)) = table(and(X25,X28),X24,and(X26,X29),and(X27,X30))
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f261,f101]) ).
fof(f1044,plain,
( spl0_107
| ~ spl0_8
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f307,f260,f75,f1042]) ).
fof(f1042,plain,
( spl0_107
<=> ! [X18,X19,X20,X21,X23,X22] : and(table(X18,n1,X19,X20),table(X21,n1,X22,X23)) = table(and(X18,X21),n1,and(X19,X22),and(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f307,plain,
( ! [X21,X18,X19,X22,X23,X20] : and(table(X18,n1,X19,X20),table(X21,n1,X22,X23)) = table(and(X18,X21),n1,and(X19,X22),and(X20,X23))
| ~ spl0_8
| ~ spl0_33 ),
inference(superposition,[],[f261,f77]) ).
fof(f1040,plain,
( spl0_106
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f306,f260,f70,f1038]) ).
fof(f1038,plain,
( spl0_106
<=> ! [X17,X13,X14,X12,X16,X15] : and(table(X12,n1,X13,X14),table(X15,n0,X16,X17)) = table(and(X12,X15),n0,and(X13,X16),and(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f306,plain,
( ! [X16,X14,X17,X15,X12,X13] : and(table(X12,n1,X13,X14),table(X15,n0,X16,X17)) = table(and(X12,X15),n0,and(X13,X16),and(X14,X17))
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f261,f72]) ).
fof(f1036,plain,
( spl0_105
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f305,f260,f65,f1034]) ).
fof(f305,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(X6,n0,X7,X8),table(X9,n1,X10,X11)) = table(and(X6,X9),n0,and(X7,X10),and(X8,X11))
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f261,f67]) ).
fof(f1032,plain,
( spl0_104
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f304,f260,f60,f1030]) ).
fof(f304,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5))
| ~ spl0_5
| ~ spl0_33 ),
inference(superposition,[],[f261,f62]) ).
fof(f1028,plain,
( spl0_103
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f303,f260,f100,f1026]) ).
fof(f1026,plain,
( spl0_103
<=> ! [X28,X24,X29,X27,X25,X26,X30] : and(table(nil,X25,X26,X27),table(X24,X28,X29,X30)) = table(X24,and(X25,X28),and(X26,X29),and(X27,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f303,plain,
( ! [X28,X29,X26,X27,X24,X25,X30] : and(table(nil,X25,X26,X27),table(X24,X28,X29,X30)) = table(X24,and(X25,X28),and(X26,X29),and(X27,X30))
| ~ spl0_13
| ~ spl0_33 ),
inference(superposition,[],[f261,f101]) ).
fof(f1024,plain,
( spl0_102
| ~ spl0_15
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f660,f538,f108,f1022]) ).
fof(f1022,plain,
( spl0_102
<=> ! [X0,X1] :
( ~ circuit(top(X1),nil,bottom(X0))
| circuit(top(X1),middle(nil),bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f538,plain,
( spl0_53
<=> ! [X2,X0,X1] :
( circuit(top(X0),middle(X1),bottom(X2))
| ~ circuit(top(X0),nil,bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ circuit(top(X1),nil,bottom(X0))
| circuit(top(X1),middle(nil),bottom(X0)) )
| ~ spl0_15
| ~ spl0_53 ),
inference(superposition,[],[f539,f109]) ).
fof(f539,plain,
( ! [X2,X0,X1] :
( ~ circuit(top(X0),nil,bottom(connect(X1,X2)))
| circuit(top(X0),middle(X1),bottom(X2)) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f1020,plain,
( spl0_101
| ~ spl0_8
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f302,f260,f75,f1018]) ).
fof(f1018,plain,
( spl0_101
<=> ! [X18,X19,X20,X21,X23,X22] : and(table(n1,X18,X19,X20),table(n1,X21,X22,X23)) = table(n1,and(X18,X21),and(X19,X22),and(X20,X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f302,plain,
( ! [X21,X18,X19,X22,X23,X20] : and(table(n1,X18,X19,X20),table(n1,X21,X22,X23)) = table(n1,and(X18,X21),and(X19,X22),and(X20,X23))
| ~ spl0_8
| ~ spl0_33 ),
inference(superposition,[],[f261,f77]) ).
fof(f1016,plain,
( spl0_100
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f301,f260,f70,f1014]) ).
fof(f1014,plain,
( spl0_100
<=> ! [X17,X13,X14,X12,X16,X15] : and(table(n1,X12,X13,X14),table(n0,X15,X16,X17)) = table(n0,and(X12,X15),and(X13,X16),and(X14,X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f301,plain,
( ! [X16,X14,X17,X15,X12,X13] : and(table(n1,X12,X13,X14),table(n0,X15,X16,X17)) = table(n0,and(X12,X15),and(X13,X16),and(X14,X17))
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f261,f72]) ).
fof(f1012,plain,
( spl0_99
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f300,f260,f65,f1010]) ).
fof(f300,plain,
( ! [X10,X11,X8,X6,X9,X7] : and(table(n0,X6,X7,X8),table(n1,X9,X10,X11)) = table(n0,and(X6,X9),and(X7,X10),and(X8,X11))
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f261,f67]) ).
fof(f1008,plain,
( spl0_98
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f299,f260,f60,f1006]) ).
fof(f299,plain,
( ! [X2,X3,X0,X1,X4,X5] : and(table(n0,X0,X1,X2),table(n0,X3,X4,X5)) = table(n0,and(X0,X3),and(X1,X4),and(X2,X5))
| ~ spl0_5
| ~ spl0_33 ),
inference(superposition,[],[f261,f62]) ).
fof(f1004,plain,
( spl0_97
| ~ spl0_12
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f294,f256,f95,f1002]) ).
fof(f1002,plain,
( spl0_97
<=> ! [X9,X11,X10] :
( circuit(top(connect(or(n1,X9),X10)),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f294,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(or(n1,X9),X10)),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_12
| ~ spl0_32 ),
inference(superposition,[],[f257,f97]) ).
fof(f1000,plain,
( spl0_96
| ~ spl0_11
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f293,f256,f90,f998]) ).
fof(f998,plain,
( spl0_96
<=> ! [X6,X8,X7] :
( circuit(top(connect(or(n1,X6),X7)),nil,bottom(connect(n1,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f293,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(or(n1,X6),X7)),nil,bottom(connect(n1,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_11
| ~ spl0_32 ),
inference(superposition,[],[f257,f92]) ).
fof(f996,plain,
( spl0_95
| ~ spl0_10
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f292,f256,f85,f994]) ).
fof(f994,plain,
( spl0_95
<=> ! [X4,X5,X3] :
( circuit(top(connect(or(n0,X3),X4)),nil,bottom(connect(n1,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f292,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(or(n0,X3),X4)),nil,bottom(connect(n1,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) )
| ~ spl0_10
| ~ spl0_32 ),
inference(superposition,[],[f257,f87]) ).
fof(f992,plain,
( spl0_94
| ~ spl0_9
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f291,f256,f80,f990]) ).
fof(f990,plain,
( spl0_94
<=> ! [X2,X0,X1] :
( circuit(top(connect(or(n0,X0),X1)),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(or(n0,X0),X1)),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_9
| ~ spl0_32 ),
inference(superposition,[],[f257,f82]) ).
fof(f988,plain,
( spl0_93
| ~ spl0_12
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f288,f256,f95,f986]) ).
fof(f986,plain,
( spl0_93
<=> ! [X9,X11,X10] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(or(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f288,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(or(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_12
| ~ spl0_32 ),
inference(superposition,[],[f257,f97]) ).
fof(f984,plain,
( spl0_92
| ~ spl0_11
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f287,f256,f90,f982]) ).
fof(f982,plain,
( spl0_92
<=> ! [X6,X8,X7] :
( circuit(top(connect(n1,X6)),nil,bottom(connect(or(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f287,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n1,X6)),nil,bottom(connect(or(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_11
| ~ spl0_32 ),
inference(superposition,[],[f257,f92]) ).
fof(f976,plain,
( spl0_91
| ~ spl0_10
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f286,f256,f85,f974]) ).
fof(f974,plain,
( spl0_91
<=> ! [X4,X5,X3] :
( circuit(top(connect(n1,X3)),nil,bottom(connect(or(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f286,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n1,X3)),nil,bottom(connect(or(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_10
| ~ spl0_32 ),
inference(superposition,[],[f257,f87]) ).
fof(f972,plain,
( spl0_90
| ~ spl0_9
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f285,f256,f80,f970]) ).
fof(f970,plain,
( spl0_90
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(or(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f285,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(or(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_9
| ~ spl0_32 ),
inference(superposition,[],[f257,f82]) ).
fof(f968,plain,
( spl0_89
| ~ spl0_8
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f278,f252,f75,f966]) ).
fof(f966,plain,
( spl0_89
<=> ! [X9,X11,X10] :
( circuit(top(connect(and(n1,X9),X10)),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f278,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(and(n1,X9),X10)),nil,bottom(connect(n1,X11)))
| ~ circuit(top(connect(X9,X10)),middle(n1),bottom(connect(n1,X11))) )
| ~ spl0_8
| ~ spl0_31 ),
inference(superposition,[],[f253,f77]) ).
fof(f964,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f277,f252,f70,f962]) ).
fof(f962,plain,
( spl0_88
<=> ! [X6,X8,X7] :
( circuit(top(connect(and(n1,X6),X7)),nil,bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f277,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(and(n1,X6),X7)),nil,bottom(connect(n0,X8)))
| ~ circuit(top(connect(X6,X7)),middle(n1),bottom(connect(n0,X8))) )
| ~ spl0_7
| ~ spl0_31 ),
inference(superposition,[],[f253,f72]) ).
fof(f960,plain,
( spl0_87
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f276,f252,f65,f958]) ).
fof(f958,plain,
( spl0_87
<=> ! [X4,X5,X3] :
( circuit(top(connect(and(n0,X3),X4)),nil,bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f276,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(and(n0,X3),X4)),nil,bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),middle(n0),bottom(connect(n1,X5))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f253,f67]) ).
fof(f956,plain,
( spl0_86
| ~ spl0_5
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f275,f252,f60,f954]) ).
fof(f954,plain,
( spl0_86
<=> ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),X1)),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f275,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(and(n0,X0),X1)),nil,bottom(connect(n0,X2)))
| ~ circuit(top(connect(X0,X1)),middle(n0),bottom(connect(n0,X2))) )
| ~ spl0_5
| ~ spl0_31 ),
inference(superposition,[],[f253,f62]) ).
fof(f952,plain,
( spl0_85
| ~ spl0_8
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f272,f252,f75,f950]) ).
fof(f950,plain,
( spl0_85
<=> ! [X9,X11,X10] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(and(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f272,plain,
( ! [X10,X11,X9] :
( circuit(top(connect(n1,X9)),nil,bottom(connect(and(n1,X10),X11)))
| ~ circuit(top(connect(n1,X9)),middle(n1),bottom(connect(X10,X11))) )
| ~ spl0_8
| ~ spl0_31 ),
inference(superposition,[],[f253,f77]) ).
fof(f948,plain,
( spl0_84
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f271,f252,f70,f946]) ).
fof(f946,plain,
( spl0_84
<=> ! [X6,X8,X7] :
( circuit(top(connect(n0,X6)),nil,bottom(connect(and(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f271,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(n0,X6)),nil,bottom(connect(and(n1,X7),X8)))
| ~ circuit(top(connect(n0,X6)),middle(n1),bottom(connect(X7,X8))) )
| ~ spl0_7
| ~ spl0_31 ),
inference(superposition,[],[f253,f72]) ).
fof(f944,plain,
( spl0_83
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f270,f252,f65,f942]) ).
fof(f942,plain,
( spl0_83
<=> ! [X4,X5,X3] :
( circuit(top(connect(n0,X3)),nil,bottom(connect(and(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f270,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n0,X3)),nil,bottom(connect(and(n0,X4),X5)))
| ~ circuit(top(connect(n1,X3)),middle(n0),bottom(connect(X4,X5))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f253,f67]) ).
fof(f940,plain,
( spl0_82
| ~ spl0_5
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f269,f252,f60,f938]) ).
fof(f938,plain,
( spl0_82
<=> ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(and(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f269,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n0,X0)),nil,bottom(connect(and(n0,X1),X2)))
| ~ circuit(top(connect(n0,X0)),middle(n0),bottom(connect(X1,X2))) )
| ~ spl0_5
| ~ spl0_31 ),
inference(superposition,[],[f253,f62]) ).
fof(f932,plain,
( spl0_81
| ~ spl0_2
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f244,f232,f45,f930]) ).
fof(f930,plain,
( spl0_81
<=> ! [X5,X4,X7,X6] :
( circuit(top(connect(not(X4),X5)),middle(X6),bottom(connect(n0,X7)))
| ~ circuit(top(connect(X4,X5)),middle(X6),bottom(connect(n1,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f232,plain,
( spl0_29
<=> ! [X4,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(not(X0),X1)),middle(X2),bottom(connect(not(X3),X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f244,plain,
( ! [X6,X7,X4,X5] :
( circuit(top(connect(not(X4),X5)),middle(X6),bottom(connect(n0,X7)))
| ~ circuit(top(connect(X4,X5)),middle(X6),bottom(connect(n1,X7))) )
| ~ spl0_2
| ~ spl0_29 ),
inference(superposition,[],[f233,f47]) ).
fof(f233,plain,
( ! [X2,X3,X0,X1,X4] :
( circuit(top(connect(not(X0),X1)),middle(X2),bottom(connect(not(X3),X4)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4))) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f928,plain,
( spl0_80
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f243,f232,f40,f926]) ).
fof(f926,plain,
( spl0_80
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(not(X0),X1)),middle(X2),bottom(connect(n1,X3)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(n0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(not(X0),X1)),middle(X2),bottom(connect(n1,X3)))
| ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(n0,X3))) )
| ~ spl0_1
| ~ spl0_29 ),
inference(superposition,[],[f233,f42]) ).
fof(f924,plain,
( spl0_79
| ~ spl0_2
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f240,f232,f45,f922]) ).
fof(f922,plain,
( spl0_79
<=> ! [X5,X4,X7,X6] :
( circuit(top(connect(n0,X4)),middle(X5),bottom(connect(not(X6),X7)))
| ~ circuit(top(connect(n1,X4)),middle(X5),bottom(connect(X6,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f240,plain,
( ! [X6,X7,X4,X5] :
( circuit(top(connect(n0,X4)),middle(X5),bottom(connect(not(X6),X7)))
| ~ circuit(top(connect(n1,X4)),middle(X5),bottom(connect(X6,X7))) )
| ~ spl0_2
| ~ spl0_29 ),
inference(superposition,[],[f233,f47]) ).
fof(f920,plain,
( spl0_78
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f239,f232,f40,f918]) ).
fof(f918,plain,
( spl0_78
<=> ! [X0,X3,X2,X1] :
( circuit(top(connect(n1,X0)),middle(X1),bottom(connect(not(X2),X3)))
| ~ circuit(top(connect(n0,X0)),middle(X1),bottom(connect(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1] :
( circuit(top(connect(n1,X0)),middle(X1),bottom(connect(not(X2),X3)))
| ~ circuit(top(connect(n0,X0)),middle(X1),bottom(connect(X2,X3))) )
| ~ spl0_1
| ~ spl0_29 ),
inference(superposition,[],[f233,f42]) ).
fof(f863,plain,
( spl0_77
| ~ spl0_30
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f733,f679,f236,f861]) ).
fof(f861,plain,
( spl0_77
<=> ! [X9] : circuit(top(connect(n1,X9)),middle(n0),bottom(X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f236,plain,
( spl0_30
<=> ! [X2,X3] :
( circuit(top(X2),middle(n0),bottom(X3))
| ~ circuit(top(X2),middle(n1),bottom(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f679,plain,
( spl0_59
<=> ! [X0,X1] : circuit(top(connect(X0,X1)),middle(X0),bottom(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f733,plain,
( ! [X9] : circuit(top(connect(n1,X9)),middle(n0),bottom(X9))
| ~ spl0_30
| ~ spl0_59 ),
inference(resolution,[],[f680,f237]) ).
fof(f237,plain,
( ! [X2,X3] :
( ~ circuit(top(X2),middle(n1),bottom(X3))
| circuit(top(X2),middle(n0),bottom(X3)) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f680,plain,
( ! [X0,X1] : circuit(top(connect(X0,X1)),middle(X0),bottom(X1))
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f811,plain,
( spl0_76
| ~ spl0_13
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f281,f252,f100,f809]) ).
fof(f809,plain,
( spl0_76
<=> ! [X13,X14,X12,X15] :
( circuit(top(connect(X12,X13)),nil,bottom(connect(X14,X15)))
| ~ circuit(top(connect(X12,X13)),middle(nil),bottom(connect(X14,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f281,plain,
( ! [X14,X15,X12,X13] :
( circuit(top(connect(X12,X13)),nil,bottom(connect(X14,X15)))
| ~ circuit(top(connect(X12,X13)),middle(nil),bottom(connect(X14,X15))) )
| ~ spl0_13
| ~ spl0_31 ),
inference(forward_demodulation,[],[f273,f101]) ).
fof(f273,plain,
( ! [X14,X15,X12,X13] :
( circuit(top(connect(X12,X13)),nil,bottom(connect(and(nil,X14),X15)))
| ~ circuit(top(connect(X12,X13)),middle(nil),bottom(connect(X14,X15))) )
| ~ spl0_13
| ~ spl0_31 ),
inference(superposition,[],[f253,f101]) ).
fof(f807,plain,
( spl0_75
| ~ spl0_2
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f196,f186,f45,f805]) ).
fof(f805,plain,
( spl0_75
<=> ! [X4,X5,X3] :
( circuit(top(connect(not(X3),X4)),nil,bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),nil,bottom(connect(n1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f196,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(not(X3),X4)),nil,bottom(connect(n0,X5)))
| ~ circuit(top(connect(X3,X4)),nil,bottom(connect(n1,X5))) )
| ~ spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f187,f47]) ).
fof(f803,plain,
( spl0_74
| ~ spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f195,f186,f40,f801]) ).
fof(f801,plain,
( spl0_74
<=> ! [X2,X0,X1] :
( circuit(top(connect(not(X0),X1)),nil,bottom(connect(n1,X2)))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(n0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f195,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(not(X0),X1)),nil,bottom(connect(n1,X2)))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(n0,X2))) )
| ~ spl0_1
| ~ spl0_26 ),
inference(superposition,[],[f187,f42]) ).
fof(f799,plain,
( spl0_73
| ~ spl0_2
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f192,f186,f45,f797]) ).
fof(f797,plain,
( spl0_73
<=> ! [X4,X5,X3] :
( circuit(top(connect(n0,X3)),nil,bottom(connect(not(X4),X5)))
| ~ circuit(top(connect(n1,X3)),nil,bottom(connect(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f192,plain,
( ! [X3,X4,X5] :
( circuit(top(connect(n0,X3)),nil,bottom(connect(not(X4),X5)))
| ~ circuit(top(connect(n1,X3)),nil,bottom(connect(X4,X5))) )
| ~ spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f187,f47]) ).
fof(f795,plain,
( spl0_72
| ~ spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f191,f186,f40,f793]) ).
fof(f793,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( circuit(top(connect(n1,X0)),nil,bottom(connect(not(X1),X2)))
| ~ circuit(top(connect(n0,X0)),nil,bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f191,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(n1,X0)),nil,bottom(connect(not(X1),X2)))
| ~ circuit(top(connect(n0,X0)),nil,bottom(connect(X1,X2))) )
| ~ spl0_1
| ~ spl0_26 ),
inference(superposition,[],[f187,f42]) ).
fof(f791,plain,
( spl0_71
| ~ spl0_24
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f732,f679,f164,f789]) ).
fof(f789,plain,
( spl0_71
<=> ! [X8] : circuit(top(connect(n0,X8)),middle(n1),bottom(X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f164,plain,
( spl0_24
<=> ! [X0,X1] :
( circuit(top(X0),middle(n1),bottom(X1))
| ~ circuit(top(X0),middle(n0),bottom(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f732,plain,
( ! [X8] : circuit(top(connect(n0,X8)),middle(n1),bottom(X8))
| ~ spl0_24
| ~ spl0_59 ),
inference(resolution,[],[f680,f165]) ).
fof(f165,plain,
( ! [X0,X1] :
( ~ circuit(top(X0),middle(n0),bottom(X1))
| circuit(top(X0),middle(n1),bottom(X1)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f787,plain,
( spl0_70
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f190,f186,f160,f785]) ).
fof(f785,plain,
( spl0_70
<=> ! [X5,X4,X7,X6] :
( ~ circuit(top(connect(X4,X5)),nil,bottom(connect(X6,X7)))
| circuit(top(X5),middle(and(not(X4),not(X6))),bottom(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f190,plain,
( ! [X6,X7,X4,X5] :
( ~ circuit(top(connect(X4,X5)),nil,bottom(connect(X6,X7)))
| circuit(top(X5),middle(and(not(X4),not(X6))),bottom(X7)) )
| ~ spl0_23
| ~ spl0_26 ),
inference(resolution,[],[f187,f161]) ).
fof(f783,plain,
( spl0_69
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f189,f186,f168,f781]) ).
fof(f781,plain,
( spl0_69
<=> ! [X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X2,X3)))
| circuit(top(X1),middle(or(not(X0),not(X2))),bottom(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f189,plain,
( ! [X2,X3,X0,X1] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X2,X3)))
| circuit(top(X1),middle(or(not(X0),not(X2))),bottom(X3)) )
| ~ spl0_25
| ~ spl0_26 ),
inference(resolution,[],[f187,f169]) ).
fof(f779,plain,
( spl0_68
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f183,f168,f126,f777]) ).
fof(f777,plain,
( spl0_68
<=> ! [X5,X4,X6,X3] :
( ~ circuit(top(connect(X5,X6)),nil,bottom(connect(X3,X4)))
| circuit(top(X6),middle(or(X5,X3)),bottom(connect(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f183,plain,
( ! [X3,X6,X4,X5] :
( ~ circuit(top(connect(X5,X6)),nil,bottom(connect(X3,X4)))
| circuit(top(X6),middle(or(X5,X3)),bottom(connect(X3,X4))) )
| ~ spl0_19
| ~ spl0_25 ),
inference(superposition,[],[f169,f127]) ).
fof(f775,plain,
( spl0_67
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f181,f168,f126,f773]) ).
fof(f773,plain,
( spl0_67
<=> ! [X5,X4,X6,X3] :
( ~ circuit(top(connect(X3,X4)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X3,X4)),middle(or(X3,X5)),bottom(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f181,plain,
( ! [X3,X6,X4,X5] :
( ~ circuit(top(connect(X3,X4)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X3,X4)),middle(or(X3,X5)),bottom(X6)) )
| ~ spl0_19
| ~ spl0_25 ),
inference(superposition,[],[f169,f127]) ).
fof(f771,plain,
( spl0_66
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f176,f160,f126,f769]) ).
fof(f769,plain,
( spl0_66
<=> ! [X5,X4,X6,X3] :
( ~ circuit(top(connect(X5,X6)),nil,bottom(connect(X3,X4)))
| circuit(top(X6),middle(and(X5,X3)),bottom(connect(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f176,plain,
( ! [X3,X6,X4,X5] :
( ~ circuit(top(connect(X5,X6)),nil,bottom(connect(X3,X4)))
| circuit(top(X6),middle(and(X5,X3)),bottom(connect(X3,X4))) )
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f161,f127]) ).
fof(f767,plain,
( spl0_65
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f174,f160,f126,f765]) ).
fof(f765,plain,
( spl0_65
<=> ! [X5,X4,X6,X3] :
( ~ circuit(top(connect(X3,X4)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X3,X4)),middle(and(X3,X5)),bottom(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f174,plain,
( ! [X3,X6,X4,X5] :
( ~ circuit(top(connect(X3,X4)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X3,X4)),middle(and(X3,X5)),bottom(X6)) )
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f161,f127]) ).
fof(f729,plain,
( spl0_64
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f250,f232,f108,f50,f727]) ).
fof(f727,plain,
( spl0_64
<=> ! [X10,X11,X9,X8] :
( ~ circuit(top(connect(X8,X9)),middle(X10),bottom(X11))
| circuit(top(connect(not(X8),X9)),middle(X10),bottom(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f250,plain,
( ! [X10,X11,X8,X9] :
( ~ circuit(top(connect(X8,X9)),middle(X10),bottom(X11))
| circuit(top(connect(not(X8),X9)),middle(X10),bottom(X11)) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f249,f109]) ).
fof(f249,plain,
( ! [X10,X11,X8,X9] :
( circuit(top(connect(not(X8),X9)),middle(X10),bottom(X11))
| ~ circuit(top(connect(X8,X9)),middle(X10),bottom(connect(nil,X11))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f245,f109]) ).
fof(f245,plain,
( ! [X10,X11,X8,X9] :
( circuit(top(connect(not(X8),X9)),middle(X10),bottom(connect(nil,X11)))
| ~ circuit(top(connect(X8,X9)),middle(X10),bottom(connect(nil,X11))) )
| ~ spl0_3
| ~ spl0_29 ),
inference(superposition,[],[f233,f52]) ).
fof(f725,plain,
( spl0_63
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f248,f232,f108,f50,f723]) ).
fof(f723,plain,
( spl0_63
<=> ! [X10,X11,X9,X8] :
( ~ circuit(top(X8),middle(X9),bottom(connect(X10,X11)))
| circuit(top(X8),middle(X9),bottom(connect(not(X10),X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f248,plain,
( ! [X10,X11,X8,X9] :
( ~ circuit(top(X8),middle(X9),bottom(connect(X10,X11)))
| circuit(top(X8),middle(X9),bottom(connect(not(X10),X11))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f247,f109]) ).
fof(f247,plain,
( ! [X10,X11,X8,X9] :
( circuit(top(X8),middle(X9),bottom(connect(not(X10),X11)))
| ~ circuit(top(connect(nil,X8)),middle(X9),bottom(connect(X10,X11))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f241,f109]) ).
fof(f241,plain,
( ! [X10,X11,X8,X9] :
( circuit(top(connect(nil,X8)),middle(X9),bottom(connect(not(X10),X11)))
| ~ circuit(top(connect(nil,X8)),middle(X9),bottom(connect(X10,X11))) )
| ~ spl0_3
| ~ spl0_29 ),
inference(superposition,[],[f233,f52]) ).
fof(f721,plain,
( spl0_62
| ~ spl0_15
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f228,f208,f108,f719]) ).
fof(f719,plain,
( spl0_62
<=> ! [X2,X0,X1] :
( circuit(top(connect(X1,X2)),middle(or(X1,nil)),bottom(X0))
| ~ circuit(top(connect(X1,X2)),nil,bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f208,plain,
( spl0_28
<=> ! [X5,X0,X6,X1] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X0,X1)),middle(or(X0,X5)),bottom(connect(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(X1,X2)),middle(or(X1,nil)),bottom(X0))
| ~ circuit(top(connect(X1,X2)),nil,bottom(X0)) )
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f209,f109]) ).
fof(f209,plain,
( ! [X0,X1,X6,X5] :
( circuit(top(connect(X0,X1)),middle(or(X0,X5)),bottom(connect(X5,X6)))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f717,plain,
( spl0_61
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f218,f204,f108,f715]) ).
fof(f715,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( circuit(top(connect(X1,X2)),middle(and(X1,nil)),bottom(X0))
| ~ circuit(top(connect(X1,X2)),nil,bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f204,plain,
( spl0_27
<=> ! [X5,X0,X6,X1] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X0,X1)),middle(and(X0,X5)),bottom(connect(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( circuit(top(connect(X1,X2)),middle(and(X1,nil)),bottom(X0))
| ~ circuit(top(connect(X1,X2)),nil,bottom(X0)) )
| ~ spl0_15
| ~ spl0_27 ),
inference(superposition,[],[f205,f109]) ).
fof(f205,plain,
( ! [X0,X1,X6,X5] :
( circuit(top(connect(X0,X1)),middle(and(X0,X5)),bottom(connect(X5,X6)))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f685,plain,
( spl0_60
| ~ spl0_13
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f220,f204,f108,f100,f683]) ).
fof(f683,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( circuit(top(X0),middle(X1),bottom(connect(X1,X2)))
| ~ circuit(top(X0),nil,bottom(connect(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f220,plain,
( ! [X2,X0,X1] :
( circuit(top(X0),middle(X1),bottom(connect(X1,X2)))
| ~ circuit(top(X0),nil,bottom(connect(X1,X2))) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f211,f101]) ).
fof(f211,plain,
( ! [X2,X0,X1] :
( circuit(top(X0),middle(and(nil,X1)),bottom(connect(X1,X2)))
| ~ circuit(top(X0),nil,bottom(connect(X1,X2))) )
| ~ spl0_15
| ~ spl0_27 ),
inference(superposition,[],[f205,f109]) ).
fof(f681,plain,
( spl0_59
| ~ spl0_16
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f653,f538,f112,f679]) ).
fof(f653,plain,
( ! [X0,X1] : circuit(top(connect(X0,X1)),middle(X0),bottom(X1))
| ~ spl0_16
| ~ spl0_53 ),
inference(resolution,[],[f539,f113]) ).
fof(f677,plain,
( spl0_58
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f202,f186,f108,f50,f675]) ).
fof(f675,plain,
( spl0_58
<=> ! [X6,X8,X7] :
( ~ circuit(top(connect(X6,X7)),nil,bottom(X8))
| circuit(top(connect(not(X6),X7)),nil,bottom(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f202,plain,
( ! [X8,X6,X7] :
( ~ circuit(top(connect(X6,X7)),nil,bottom(X8))
| circuit(top(connect(not(X6),X7)),nil,bottom(X8)) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f201,f109]) ).
fof(f201,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(not(X6),X7)),nil,bottom(X8))
| ~ circuit(top(connect(X6,X7)),nil,bottom(connect(nil,X8))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f197,f109]) ).
fof(f197,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(not(X6),X7)),nil,bottom(connect(nil,X8)))
| ~ circuit(top(connect(X6,X7)),nil,bottom(connect(nil,X8))) )
| ~ spl0_3
| ~ spl0_26 ),
inference(superposition,[],[f187,f52]) ).
fof(f673,plain,
( spl0_57
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f200,f186,f108,f50,f671]) ).
fof(f671,plain,
( spl0_57
<=> ! [X6,X8,X7] :
( ~ circuit(top(X6),nil,bottom(connect(X7,X8)))
| circuit(top(X6),nil,bottom(connect(not(X7),X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f200,plain,
( ! [X8,X6,X7] :
( ~ circuit(top(X6),nil,bottom(connect(X7,X8)))
| circuit(top(X6),nil,bottom(connect(not(X7),X8))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f199,f109]) ).
fof(f199,plain,
( ! [X8,X6,X7] :
( circuit(top(X6),nil,bottom(connect(not(X7),X8)))
| ~ circuit(top(connect(nil,X6)),nil,bottom(connect(X7,X8))) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f193,f109]) ).
fof(f193,plain,
( ! [X8,X6,X7] :
( circuit(top(connect(nil,X6)),nil,bottom(connect(not(X7),X8)))
| ~ circuit(top(connect(nil,X6)),nil,bottom(connect(X7,X8))) )
| ~ spl0_3
| ~ spl0_26 ),
inference(superposition,[],[f187,f52]) ).
fof(f669,plain,
( spl0_56
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f182,f168,f108,f667]) ).
fof(f667,plain,
( spl0_56
<=> ! [X2,X0,X1] :
( ~ circuit(top(connect(X1,X2)),nil,bottom(X0))
| circuit(top(X2),middle(or(X1,nil)),bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f182,plain,
( ! [X2,X0,X1] :
( ~ circuit(top(connect(X1,X2)),nil,bottom(X0))
| circuit(top(X2),middle(or(X1,nil)),bottom(X0)) )
| ~ spl0_15
| ~ spl0_25 ),
inference(superposition,[],[f169,f109]) ).
fof(f665,plain,
( spl0_55
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f175,f160,f108,f663]) ).
fof(f663,plain,
( spl0_55
<=> ! [X2,X0,X1] :
( ~ circuit(top(connect(X1,X2)),nil,bottom(X0))
| circuit(top(X2),middle(and(X1,nil)),bottom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( ~ circuit(top(connect(X1,X2)),nil,bottom(X0))
| circuit(top(X2),middle(and(X1,nil)),bottom(X0)) )
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f161,f109]) ).
fof(f607,plain,
( spl0_54
| ~ spl0_1
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f541,f490,f40,f605]) ).
fof(f605,plain,
( spl0_54
<=> ! [X0,X1] : not(table(n0,n0,X0,X1)) = table(n1,n1,not(X0),not(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f541,plain,
( ! [X0,X1] : not(table(n0,n0,X0,X1)) = table(n1,n1,not(X0),not(X1))
| ~ spl0_1
| ~ spl0_41 ),
inference(superposition,[],[f491,f42]) ).
fof(f540,plain,
( spl0_53
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f177,f160,f108,f100,f538]) ).
fof(f177,plain,
( ! [X2,X0,X1] :
( circuit(top(X0),middle(X1),bottom(X2))
| ~ circuit(top(X0),nil,bottom(connect(X1,X2))) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f173,f101]) ).
fof(f173,plain,
( ! [X2,X0,X1] :
( ~ circuit(top(X0),nil,bottom(connect(X1,X2)))
| circuit(top(X0),middle(and(nil,X1)),bottom(X2)) )
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f161,f109]) ).
fof(f536,plain,
( spl0_52
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f153,f139,f50,f534]) ).
fof(f534,plain,
( spl0_52
<=> ! [X6,X8,X7] : not(table(X6,X7,X8,nil)) = table(not(X6),not(X7),not(X8),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f139,plain,
( spl0_21
<=> ! [X11,X0,X1,X7] : not(table(X0,X1,X7,X11)) = table(not(X0),not(X1),not(X7),not(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f153,plain,
( ! [X8,X6,X7] : not(table(X6,X7,X8,nil)) = table(not(X6),not(X7),not(X8),nil)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f140,f52]) ).
fof(f140,plain,
( ! [X0,X11,X1,X7] : not(table(X0,X1,X7,X11)) = table(not(X0),not(X1),not(X7),not(X11))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f532,plain,
( spl0_51
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f152,f139,f45,f530]) ).
fof(f530,plain,
( spl0_51
<=> ! [X4,X5,X3] : not(table(X3,X4,X5,n1)) = table(not(X3),not(X4),not(X5),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f152,plain,
( ! [X3,X4,X5] : not(table(X3,X4,X5,n1)) = table(not(X3),not(X4),not(X5),n0)
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f140,f47]) ).
fof(f528,plain,
( spl0_50
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f151,f139,f40,f526]) ).
fof(f526,plain,
( spl0_50
<=> ! [X2,X0,X1] : not(table(X0,X1,X2,n0)) = table(not(X0),not(X1),not(X2),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f151,plain,
( ! [X2,X0,X1] : not(table(X0,X1,X2,n0)) = table(not(X0),not(X1),not(X2),n1)
| ~ spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f140,f42]) ).
fof(f524,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f150,f139,f50,f522]) ).
fof(f522,plain,
( spl0_49
<=> ! [X6,X8,X7] : not(table(X6,X7,nil,X8)) = table(not(X6),not(X7),nil,not(X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f150,plain,
( ! [X8,X6,X7] : not(table(X6,X7,nil,X8)) = table(not(X6),not(X7),nil,not(X8))
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f140,f52]) ).
fof(f520,plain,
( spl0_48
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f149,f139,f45,f518]) ).
fof(f518,plain,
( spl0_48
<=> ! [X4,X5,X3] : not(table(X3,X4,n1,X5)) = table(not(X3),not(X4),n0,not(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f149,plain,
( ! [X3,X4,X5] : not(table(X3,X4,n1,X5)) = table(not(X3),not(X4),n0,not(X5))
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f140,f47]) ).
fof(f516,plain,
( spl0_47
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f148,f139,f40,f514]) ).
fof(f514,plain,
( spl0_47
<=> ! [X2,X0,X1] : not(table(X0,X1,n0,X2)) = table(not(X0),not(X1),n1,not(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f148,plain,
( ! [X2,X0,X1] : not(table(X0,X1,n0,X2)) = table(not(X0),not(X1),n1,not(X2))
| ~ spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f140,f42]) ).
fof(f512,plain,
( spl0_46
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f147,f139,f50,f510]) ).
fof(f510,plain,
( spl0_46
<=> ! [X6,X8,X7] : not(table(X6,nil,X7,X8)) = table(not(X6),nil,not(X7),not(X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f147,plain,
( ! [X8,X6,X7] : not(table(X6,nil,X7,X8)) = table(not(X6),nil,not(X7),not(X8))
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f140,f52]) ).
fof(f508,plain,
( spl0_45
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f146,f139,f45,f506]) ).
fof(f506,plain,
( spl0_45
<=> ! [X4,X5,X3] : not(table(X3,n1,X4,X5)) = table(not(X3),n0,not(X4),not(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f146,plain,
( ! [X3,X4,X5] : not(table(X3,n1,X4,X5)) = table(not(X3),n0,not(X4),not(X5))
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f140,f47]) ).
fof(f504,plain,
( spl0_44
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f145,f139,f40,f502]) ).
fof(f502,plain,
( spl0_44
<=> ! [X2,X0,X1] : not(table(X0,n0,X1,X2)) = table(not(X0),n1,not(X1),not(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f145,plain,
( ! [X2,X0,X1] : not(table(X0,n0,X1,X2)) = table(not(X0),n1,not(X1),not(X2))
| ~ spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f140,f42]) ).
fof(f500,plain,
( spl0_43
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f144,f139,f50,f498]) ).
fof(f498,plain,
( spl0_43
<=> ! [X6,X8,X7] : not(table(nil,X6,X7,X8)) = table(nil,not(X6),not(X7),not(X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f144,plain,
( ! [X8,X6,X7] : not(table(nil,X6,X7,X8)) = table(nil,not(X6),not(X7),not(X8))
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f140,f52]) ).
fof(f496,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f143,f139,f45,f494]) ).
fof(f494,plain,
( spl0_42
<=> ! [X4,X5,X3] : not(table(n1,X3,X4,X5)) = table(n0,not(X3),not(X4),not(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f143,plain,
( ! [X3,X4,X5] : not(table(n1,X3,X4,X5)) = table(n0,not(X3),not(X4),not(X5))
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f140,f47]) ).
fof(f492,plain,
( spl0_41
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f142,f139,f40,f490]) ).
fof(f142,plain,
( ! [X2,X0,X1] : not(table(n0,X0,X1,X2)) = table(n1,not(X0),not(X1),not(X2))
| ~ spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f140,f42]) ).
fof(f450,plain,
spl0_40,
inference(avatar_split_clause,[],[f22,f448]) ).
fof(f448,plain,
( spl0_40
<=> ! [X4,X7,X8,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,connect(X1,X7))),middle(X2),bottom(connect(X3,connect(X4,X8))))
| circuit(top(connect(or(X0,X1),X7)),middle(X2),bottom(connect(or(X3,X4),X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X8,X7,X4] :
( ~ circuit(top(connect(X0,connect(X1,X7))),middle(X2),bottom(connect(X3,connect(X4,X8))))
| circuit(top(connect(or(X0,X1),X7)),middle(X2),bottom(connect(or(X3,X4),X8))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_nearest_middle2) ).
fof(f446,plain,
spl0_39,
inference(avatar_split_clause,[],[f21,f444]) ).
fof(f444,plain,
( spl0_39
<=> ! [X4,X7,X8,X0,X3,X2,X1] :
( ~ circuit(top(connect(X0,connect(X1,X7))),middle(X2),bottom(connect(X3,connect(X4,X8))))
| circuit(top(connect(and(X0,X1),X7)),middle(X2),bottom(connect(and(X3,X4),X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f21,axiom,
! [X2,X3,X0,X1,X8,X7,X4] :
( ~ circuit(top(connect(X0,connect(X1,X7))),middle(X2),bottom(connect(X3,connect(X4,X8))))
| circuit(top(connect(and(X0,X1),X7)),middle(X2),bottom(connect(and(X3,X4),X8))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_nearest_middle1) ).
fof(f386,plain,
spl0_38,
inference(avatar_split_clause,[],[f20,f384]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),connect(X0,X1))),nil,bottom(connect(or(X2,X3),connect(X3,X4)))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_to_middle2) ).
fof(f382,plain,
spl0_37,
inference(avatar_split_clause,[],[f19,f380]) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),connect(X0,X1))),nil,bottom(connect(and(X2,X3),connect(X3,X4)))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_to_middle1) ).
fof(f348,plain,
spl0_36,
inference(avatar_split_clause,[],[f12,f346]) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),X1)),middle(X2),bottom(connect(or(X2,X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',split_and_keep_middle2) ).
fof(f342,plain,
spl0_35,
inference(avatar_split_clause,[],[f11,f340]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),X1)),middle(X2),bottom(connect(and(X2,X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',split_and_keep_middle1) ).
fof(f266,plain,
spl0_34,
inference(avatar_split_clause,[],[f29,f264]) ).
fof(f29,axiom,
! [X0,X11,X1,X6,X7,X5,X12,X13] : or(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(or(X0,X5),or(X1,X6),or(X7,X12),or(X11,X13)),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_table_definition) ).
fof(f262,plain,
spl0_33,
inference(avatar_split_clause,[],[f27,f260]) ).
fof(f27,axiom,
! [X0,X11,X1,X6,X7,X5,X12,X13] : and(table(X0,X1,X7,X11),table(X5,X6,X12,X13)) = table(and(X0,X5),and(X1,X6),and(X7,X12),and(X11,X13)),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_table_definition) ).
fof(f258,plain,
spl0_32,
inference(avatar_split_clause,[],[f14,f256]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(or(X2,X0),X1)),nil,bottom(connect(or(X2,X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',split_and_omit_middle2) ).
fof(f254,plain,
spl0_31,
inference(avatar_split_clause,[],[f13,f252]) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(and(X2,X0),X1)),nil,bottom(connect(and(X2,X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',split_and_omit_middle1) ).
fof(f238,plain,
( spl0_30
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f136,f132,f45,f236]) ).
fof(f132,plain,
( spl0_20
<=> ! [X2,X9,X10] :
( ~ circuit(top(X9),middle(X2),bottom(X10))
| circuit(top(X9),middle(not(X2)),bottom(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f136,plain,
( ! [X2,X3] :
( circuit(top(X2),middle(n0),bottom(X3))
| ~ circuit(top(X2),middle(n1),bottom(X3)) )
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f133,f47]) ).
fof(f133,plain,
( ! [X2,X10,X9] :
( circuit(top(X9),middle(not(X2)),bottom(X10))
| ~ circuit(top(X9),middle(X2),bottom(X10)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f234,plain,
spl0_29,
inference(avatar_split_clause,[],[f24,f232]) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),middle(X2),bottom(connect(X3,X4)))
| circuit(top(connect(not(X0),X1)),middle(X2),bottom(connect(not(X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',invert_adjacent1) ).
fof(f210,plain,
spl0_28,
inference(avatar_split_clause,[],[f18,f208]) ).
fof(f18,axiom,
! [X0,X1,X6,X5] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X0,X1)),middle(or(X0,X5)),bottom(connect(X5,X6))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_across_middle2) ).
fof(f206,plain,
spl0_27,
inference(avatar_split_clause,[],[f17,f204]) ).
fof(f17,axiom,
! [X0,X1,X6,X5] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6)))
| circuit(top(connect(X0,X1)),middle(and(X0,X5)),bottom(connect(X5,X6))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_across_middle1) ).
fof(f188,plain,
spl0_26,
inference(avatar_split_clause,[],[f25,f186]) ).
fof(f25,axiom,
! [X3,X0,X1,X4] :
( ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X3,X4)))
| circuit(top(connect(not(X0),X1)),nil,bottom(connect(not(X3),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',invert_adjacent2) ).
fof(f170,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f168]) ).
fof(f16,axiom,
! [X0,X1,X6,X5] :
( circuit(top(X1),middle(or(X0,X5)),bottom(X6))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_across_empty_middle2) ).
fof(f166,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f135,f132,f40,f164]) ).
fof(f135,plain,
( ! [X0,X1] :
( circuit(top(X0),middle(n1),bottom(X1))
| ~ circuit(top(X0),middle(n0),bottom(X1)) )
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f133,f42]) ).
fof(f162,plain,
spl0_23,
inference(avatar_split_clause,[],[f15,f160]) ).
fof(f15,axiom,
! [X0,X1,X6,X5] :
( circuit(top(X1),middle(and(X0,X5)),bottom(X6))
| ~ circuit(top(connect(X0,X1)),nil,bottom(connect(X5,X6))) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',join_across_empty_middle1) ).
fof(f158,plain,
spl0_22,
inference(avatar_split_clause,[],[f37,f155]) ).
fof(f155,plain,
( spl0_22
<=> circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f37,axiom,
circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',input_configuration) ).
fof(f141,plain,
spl0_21,
inference(avatar_split_clause,[],[f31,f139]) ).
fof(f31,axiom,
! [X0,X11,X1,X7] : not(table(X0,X1,X7,X11)) = table(not(X0),not(X1),not(X7),not(X11)),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',not_table_definition) ).
fof(f134,plain,
spl0_20,
inference(avatar_split_clause,[],[f23,f132]) ).
fof(f23,axiom,
! [X2,X10,X9] :
( ~ circuit(top(X9),middle(X2),bottom(X10))
| circuit(top(X9),middle(not(X2)),bottom(X10)) ),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',invert_middle) ).
fof(f128,plain,
spl0_19,
inference(avatar_split_clause,[],[f36,f126]) ).
fof(f36,axiom,
! [X2,X9] : connect(X9,X2) = connect(X9,connect(X9,X2)),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',connect_definition2) ).
fof(f124,plain,
spl0_18,
inference(avatar_split_clause,[],[f34,f121]) ).
fof(f34,axiom,
nil = table(n1,n1,n1,n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',full_table) ).
fof(f119,plain,
spl0_17,
inference(avatar_split_clause,[],[f33,f116]) ).
fof(f33,axiom,
nil = table(n0,n0,n0,n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',empty_table) ).
fof(f114,plain,
spl0_16,
inference(avatar_split_clause,[],[f26,f112]) ).
fof(f26,axiom,
! [X2,X9] : circuit(top(X9),X2,bottom(X9)),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',subsume_symmetric) ).
fof(f110,plain,
spl0_15,
inference(avatar_split_clause,[],[f35,f108]) ).
fof(f35,axiom,
! [X9] : connect(nil,X9) = X9,
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',connect_definition1) ).
fof(f106,plain,
spl0_14,
inference(avatar_split_clause,[],[f30,f104]) ).
fof(f30,axiom,
! [X9] : or(nil,X9) = X9,
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_definition5) ).
fof(f102,plain,
spl0_13,
inference(avatar_split_clause,[],[f28,f100]) ).
fof(f28,axiom,
! [X9] : and(nil,X9) = X9,
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_definition5) ).
fof(f98,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f95]) ).
fof(f8,axiom,
n1 = or(n1,n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_definition4) ).
fof(f93,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f90]) ).
fof(f7,axiom,
n1 = or(n1,n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_definition3) ).
fof(f88,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f85]) ).
fof(f6,axiom,
n1 = or(n0,n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_definition2) ).
fof(f83,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f80]) ).
fof(f5,axiom,
n0 = or(n0,n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',or_definition1) ).
fof(f78,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f75]) ).
fof(f4,axiom,
n1 = and(n1,n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_definition4) ).
fof(f73,plain,
spl0_7,
inference(avatar_split_clause,[],[f3,f70]) ).
fof(f3,axiom,
n0 = and(n1,n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_definition3) ).
fof(f68,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f65]) ).
fof(f2,axiom,
n0 = and(n0,n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_definition2) ).
fof(f63,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f60]) ).
fof(f1,axiom,
n0 = and(n0,n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',and_definition1) ).
fof(f58,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f38,f55]) ).
fof(f38,axiom,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',prove_output_configuration) ).
fof(f53,plain,
spl0_3,
inference(avatar_split_clause,[],[f32,f50]) ).
fof(f32,axiom,
nil = not(nil),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',not_definition3) ).
fof(f48,plain,
spl0_2,
inference(avatar_split_clause,[],[f10,f45]) ).
fof(f10,axiom,
n0 = not(n1),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',not_definition2) ).
fof(f43,plain,
spl0_1,
inference(avatar_split_clause,[],[f9,f40]) ).
fof(f9,axiom,
n1 = not(n0),
file('/export/starexec/sandbox/tmp/tmp.3EciyHPT0A/Vampire---4.8_10850',not_definition1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 16:56:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.42 % (11069)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (11112)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (11111)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (11113)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (11117)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.43 % (11115)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.43 % (11116)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.43 % (11114)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44 TRYING [1]
% 0.23/0.45 TRYING [2]
% 0.23/0.47 TRYING [1]
% 0.23/0.47 TRYING [2]
% 0.23/0.50 TRYING [3]
% 0.23/0.56 TRYING [3]
% 0.23/0.60 % (11115)First to succeed.
% 0.23/0.60 % (11115)Refutation found. Thanks to Tanya!
% 0.23/0.60 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.61 % (11115)------------------------------
% 0.23/0.61 % (11115)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.61 % (11115)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.61 % (11115)Termination reason: Refutation
% 0.23/0.61
% 0.23/0.61 % (11115)Memory used [KB]: 11257
% 0.23/0.61 % (11115)Time elapsed: 0.175 s
% 0.23/0.61 % (11115)------------------------------
% 0.23/0.61 % (11115)------------------------------
% 0.23/0.61 % (11069)Success in time 0.239 s
% 0.23/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------