TSTP Solution File: SYO500_8.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:11:57 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 132
% Syntax : Number of formulae : 873 ( 6 unt; 25 typ; 0 def)
% Number of atoms : 3596 ( 467 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 2746 (1240 ~;1379 |; 21 &)
% ( 105 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1328 (1242 fml; 86 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of predicates : 113 ( 110 usr; 107 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 45 ( 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(func_def_4,type,
bG2: $o ).
tff(func_def_5,type,
bG3: $o ).
tff(func_def_6,type,
bG4: $o ).
tff(func_def_7,type,
bG5: $o ).
tff(func_def_8,type,
bG6: $o ).
tff(func_def_9,type,
bG7: $o ).
tff(func_def_10,type,
bG8: $o ).
tff(func_def_11,type,
bG9: $o ).
tff(func_def_12,type,
bG10: $o ).
tff(func_def_13,type,
bG11: $o ).
tff(func_def_14,type,
bG12: $o ).
tff(func_def_15,type,
bG13: $o ).
tff(func_def_16,type,
bG14: $o ).
tff(func_def_17,type,
bG15: $o ).
tff(func_def_18,type,
bG16: $o ).
tff(func_def_19,type,
bG17: $o ).
tff(func_def_20,type,
bG18: $o ).
tff(func_def_21,type,
bG19: $o ).
tff(pred_def_2,type,
f0: $o > $o ).
tff(pred_def_3,type,
f1: $o > $o ).
tff(pred_def_4,type,
f2: $o > $o ).
tff(pred_def_5,type,
f3: $o > $o ).
tff(pred_def_6,type,
f4: $o > $o ).
tff(f2310,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f112,f117,f126,f135,f144,f153,f162,f171,f180,f189,f198,f207,f216,f225,f234,f243,f252,f261,f270,f279,f283,f351,f357,f366,f373,f377,f388,f393,f399,f408,f415,f422,f423,f428,f432,f434,f436,f446,f450,f452,f461,f465,f476,f477,f482,f487,f493,f499,f500,f501,f506,f511,f516,f520,f524,f526,f531,f535,f539,f547,f555,f559,f561,f569,f574,f581,f585,f591,f595,f601,f606,f609,f616,f621,f626,f631,f636,f641,f646,f649,f686,f690,f699,f707,f709,f711,f720,f728,f732,f749,f752,f756,f758,f762,f765,f771,f774,f781,f791,f797,f799,f804,f805,f824,f825,f830,f831,f832,f833,f834,f856,f860,f865,f869,f873,f880,f892,f902,f911,f912,f919,f926,f928,f947,f956,f957,f958,f960,f967,f973,f979,f987,f998,f1003,f1012,f1027,f1043,f1047,f1062,f1069,f1091,f1092,f1100,f1106,f1113,f1115,f1146,f1147,f1157,f1163,f1167,f1171,f1175,f1176,f1177,f1188,f1189,f1199,f1204,f1218,f1226,f1232,f1250,f1274,f1296,f1297,f1317,f1323,f1331,f1336,f1343,f1345,f1362,f1363,f1396,f1397,f1412,f1461,f1742,f1768,f1769,f1778,f1828,f1837,f1845,f1848,f1850,f1858,f1859,f1904,f1912,f1958,f1960,f1962,f1964,f1966,f1968,f1970,f1972,f1974,f1976,f1978,f1980,f1982,f1984,f1986,f1988,f1990,f2011,f2012,f2050,f2054,f2058,f2062,f2066,f2069,f2077,f2082,f2102,f2104,f2206,f2207,f2213,f2214,f2218,f2294,f2303,f2309]) ).
tff(f2309,plain,
( ~ spl20_47
| spl20_29
| ~ spl20_43
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f1281,f623,f281,f218,f385]) ).
tff(f385,plain,
( spl20_47
<=> f1($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
tff(f218,plain,
( spl20_29
<=> f1(bG6) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
tff(f281,plain,
( spl20_43
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
tff(f623,plain,
( spl20_67
<=> ( $false = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
tff(f1281,plain,
( ~ f1($false)
| spl20_29
| ~ spl20_43
| ~ spl20_67 ),
inference(forward_demodulation,[],[f220,f932]) ).
tff(f932,plain,
( ( $false = bG6 )
| ~ spl20_43
| ~ spl20_67 ),
inference(trivial_inequality_removal,[],[f837]) ).
tff(f837,plain,
( ( $true = $false )
| ( $false = bG6 )
| ~ spl20_43
| ~ spl20_67 ),
inference(superposition,[],[f625,f282]) ).
tff(f282,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f625,plain,
( ( $false = bG6 )
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f623]) ).
tff(f220,plain,
( ~ f1(bG6)
| spl20_29 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f2303,plain,
( spl20_48
| ~ spl20_31
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f927,f240,f227,f396]) ).
tff(f396,plain,
( spl20_48
<=> f1($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
tff(f227,plain,
( spl20_31
<=> f1(bG5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
tff(f240,plain,
( spl20_34
<=> ( $true = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
tff(f927,plain,
( f1($true)
| ~ spl20_31
| ~ spl20_34 ),
inference(forward_demodulation,[],[f228,f242]) ).
tff(f242,plain,
( ( $true = bG5 )
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f228,plain,
( f1(bG5)
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f2294,plain,
( ~ spl20_14
| ~ spl20_43
| ~ spl20_80 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
tff(f2293,plain,
( $false
| ~ spl20_14
| ~ spl20_43
| ~ spl20_80 ),
inference(trivial_inequality_removal,[],[f2292]) ).
tff(f2292,plain,
( ( $true = $false )
| ~ spl20_14
| ~ spl20_43
| ~ spl20_80 ),
inference(forward_demodulation,[],[f152,f2159]) ).
tff(f2159,plain,
( ( $false = bG16 )
| ~ spl20_43
| ~ spl20_80 ),
inference(trivial_inequality_removal,[],[f1452]) ).
tff(f1452,plain,
( ( $true = $false )
| ( $false = bG16 )
| ~ spl20_43
| ~ spl20_80 ),
inference(superposition,[],[f1395,f282]) ).
tff(f1395,plain,
( ( $false = bG16 )
| ~ spl20_80 ),
inference(avatar_component_clause,[],[f1393]) ).
tff(f1393,plain,
( spl20_80
<=> ( $false = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
tff(f152,plain,
( ( $true = bG16 )
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f150]) ).
tff(f150,plain,
( spl20_14
<=> ( $true = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
tff(f2218,plain,
( ~ spl20_47
| spl20_11
| spl20_14
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1040,f281,f150,f137,f385]) ).
tff(f137,plain,
( spl20_11
<=> f1(bG16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
tff(f1040,plain,
( ~ f1($false)
| spl20_11
| spl20_14
| ~ spl20_43 ),
inference(forward_demodulation,[],[f139,f913]) ).
tff(f913,plain,
( ( $false = bG16 )
| spl20_14
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f318]) ).
tff(f318,plain,
( ( $true != $true )
| ( $false = bG16 )
| spl20_14
| ~ spl20_43 ),
inference(superposition,[],[f151,f282]) ).
tff(f151,plain,
( ( $true != bG16 )
| spl20_14 ),
inference(avatar_component_clause,[],[f150]) ).
tff(f139,plain,
( ~ f1(bG16)
| spl20_11 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f2214,plain,
( ~ spl20_49
| spl20_33
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f939,f827,f236,f458]) ).
tff(f458,plain,
( spl20_49
<=> f2($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
tff(f236,plain,
( spl20_33
<=> f2(bG4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
tff(f827,plain,
( spl20_73
<=> ( $false = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
tff(f939,plain,
( ~ f2($false)
| spl20_33
| ~ spl20_73 ),
inference(forward_demodulation,[],[f238,f829]) ).
tff(f829,plain,
( ( $false = bG4 )
| ~ spl20_73 ),
inference(avatar_component_clause,[],[f827]) ).
tff(f238,plain,
( ~ f2(bG4)
| spl20_33 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f2213,plain,
( ~ spl20_50
| spl20_37
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f819,f633,f254,f479]) ).
tff(f479,plain,
( spl20_50
<=> f3($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
tff(f254,plain,
( spl20_37
<=> f3(bG2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
tff(f633,plain,
( spl20_69
<=> ( $false = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
tff(f819,plain,
( ~ f3($false)
| spl20_37
| ~ spl20_69 ),
inference(forward_demodulation,[],[f256,f635]) ).
tff(f635,plain,
( ( $false = bG2 )
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f633]) ).
tff(f256,plain,
( ~ f3(bG2)
| spl20_37 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f2207,plain,
( ~ spl20_4
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f776,f643,f105]) ).
tff(f105,plain,
( spl20_4
<=> x ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
tff(f643,plain,
( spl20_71
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
tff(f776,plain,
( ~ x
| ~ spl20_71 ),
inference(trivial_inequality_removal,[],[f775]) ).
tff(f775,plain,
( ( $true = $false )
| ~ x
| ~ spl20_71 ),
inference(forward_demodulation,[],[f86,f645]) ).
tff(f645,plain,
( ( $false = bG0 )
| ~ spl20_71 ),
inference(avatar_component_clause,[],[f643]) ).
tff(f86,plain,
( ( $true = bG0 )
| ~ x ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
( ( x
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ x ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( x
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f2206,plain,
( ~ spl20_1
| ~ spl20_46
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f402,f348,f363,f91]) ).
tff(f91,plain,
( spl20_1
<=> f0(bG8) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
tff(f363,plain,
( spl20_46
<=> f0($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
tff(f348,plain,
( spl20_44
<=> ( $false = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
tff(f402,plain,
( ~ f0($false)
| ~ f0(bG8)
| ~ spl20_44 ),
inference(forward_demodulation,[],[f89,f350]) ).
tff(f350,plain,
( ( $false = bG19 )
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f89,plain,
( ~ f0(bG19)
| ~ f0(bG8) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
( ( ~ f0(bG19)
| ~ f0(bG8) )
& ( f0(bG19)
| f0(bG8) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f26,plain,
( f0(bG8)
<~> f0(bG19) ),
inference(ennf_transformation,[],[f25]) ).
tff(f25,plain,
~ ( f0(bG8)
<=> f0(bG19) ),
inference(fool_elimination,[],[f2,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5]) ).
tff(f6,plain,
( f4(bG0)
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f7,plain,
( f3(bG1)
<=> ( $true = bG2 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f8,plain,
( f3(bG2)
<=> ( $true = bG3 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG3])]) ).
tff(f9,plain,
( f3(bG3)
<=> ( $true = bG4 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG4])]) ).
tff(f10,plain,
( f2(bG4)
<=> ( $true = bG5 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG5])]) ).
tff(f11,plain,
( f1(bG5)
<=> ( $true = bG6 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG6])]) ).
tff(f12,plain,
( f1(bG6)
<=> ( $true = bG7 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG7])]) ).
tff(f13,plain,
( f1(bG7)
<=> ( $true = bG8 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG8])]) ).
tff(f14,plain,
( x
<=> ( $true = bG9 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG9])]) ).
tff(f15,plain,
( f4(bG9)
<=> ( $true = bG10 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG10])]) ).
tff(f16,plain,
( f4(bG10)
<=> ( $true = bG11 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG11])]) ).
tff(f17,plain,
( f4(bG11)
<=> ( $true = bG12 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG12])]) ).
tff(f18,plain,
( f3(bG12)
<=> ( $true = bG13 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG13])]) ).
tff(f19,plain,
( f2(bG13)
<=> ( $true = bG14 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG14])]) ).
tff(f20,plain,
( f2(bG14)
<=> ( $true = bG15 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG15])]) ).
tff(f21,plain,
( f2(bG15)
<=> ( $true = bG16 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG16])]) ).
tff(f22,plain,
( f1(bG16)
<=> ( $true = bG17 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG17])]) ).
tff(f23,plain,
( f0(bG17)
<=> ( $true = bG18 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG18])]) ).
tff(f24,plain,
( f0(bG18)
<=> ( $true = bG19 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG19])]) ).
tff(f2,negated_conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) != f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(x))))))))) = f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski5) ).
tff(f2104,plain,
( spl20_61
| ~ spl20_21
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f710,f571,f182,f578]) ).
tff(f578,plain,
( spl20_61
<=> f4($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
tff(f182,plain,
( spl20_21
<=> f4(bG11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
tff(f571,plain,
( spl20_60
<=> ( $false = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
tff(f710,plain,
( f4($false)
| ~ spl20_21
| ~ spl20_60 ),
inference(forward_demodulation,[],[f183,f573]) ).
tff(f573,plain,
( ( $false = bG11 )
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f571]) ).
tff(f183,plain,
( f4(bG11)
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f2102,plain,
( ~ spl20_61
| spl20_23
| ~ spl20_63 ),
inference(avatar_split_clause,[],[f706,f598,f191,f578]) ).
tff(f191,plain,
( spl20_23
<=> f4(bG10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
tff(f598,plain,
( spl20_63
<=> ( $false = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
tff(f706,plain,
( ~ f4($false)
| spl20_23
| ~ spl20_63 ),
inference(forward_demodulation,[],[f193,f600]) ).
tff(f600,plain,
( ( $false = bG10 )
| ~ spl20_63 ),
inference(avatar_component_clause,[],[f598]) ).
tff(f193,plain,
( ~ f4(bG10)
| spl20_23 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f2082,plain,
( ~ spl20_62
| ~ spl20_6
| spl20_41 ),
inference(avatar_split_clause,[],[f814,f272,f114,f588]) ).
tff(f588,plain,
( spl20_62
<=> f4($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
tff(f114,plain,
( spl20_6
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
tff(f272,plain,
( spl20_41
<=> f4(bG0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
tff(f814,plain,
( ~ f4($true)
| ~ spl20_6
| spl20_41 ),
inference(forward_demodulation,[],[f274,f115]) ).
tff(f115,plain,
( ( $true = bG0 )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f274,plain,
( ~ f4(bG0)
| spl20_41 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f2077,plain,
( ~ spl20_24
| ~ spl20_60 ),
inference(avatar_contradiction_clause,[],[f2076]) ).
tff(f2076,plain,
( $false
| ~ spl20_24
| ~ spl20_60 ),
inference(trivial_inequality_removal,[],[f2075]) ).
tff(f2075,plain,
( ( $true = $false )
| ~ spl20_24
| ~ spl20_60 ),
inference(forward_demodulation,[],[f197,f573]) ).
tff(f197,plain,
( ( $true = bG11 )
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f195,plain,
( spl20_24
<=> ( $true = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
tff(f2069,plain,
( ~ spl20_5
| ~ spl20_25
| ~ spl20_77 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
tff(f2068,plain,
( $false
| ~ spl20_5
| ~ spl20_25
| ~ spl20_77 ),
inference(trivial_inequality_removal,[],[f2067]) ).
tff(f2067,plain,
( ( $true = $false )
| ~ spl20_5
| ~ spl20_25
| ~ spl20_77 ),
inference(forward_demodulation,[],[f111,f1455]) ).
tff(f1455,plain,
( ( $false = bG9 )
| ~ spl20_25
| ~ spl20_77 ),
inference(resolution,[],[f868,f201]) ).
tff(f201,plain,
( f4(bG9)
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f200,plain,
( spl20_25
<=> f4(bG9) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
tff(f868,plain,
( ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) )
| ~ spl20_77 ),
inference(avatar_component_clause,[],[f867]) ).
tff(f867,plain,
( spl20_77
<=> ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
tff(f111,plain,
( ( $true = bG9 )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f109,plain,
( spl20_5
<=> ( $true = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
tff(f2066,plain,
( ~ spl20_61
| spl20_41
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f2046,f643,f272,f578]) ).
tff(f2046,plain,
( ~ f4($false)
| spl20_41
| ~ spl20_71 ),
inference(superposition,[],[f274,f645]) ).
tff(f2062,plain,
( spl20_78
| ~ spl20_43
| spl20_51 ),
inference(avatar_split_clause,[],[f715,f490,f281,f871]) ).
tff(f871,plain,
( spl20_78
<=> ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
tff(f490,plain,
( spl20_51
<=> f3($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
tff(f715,plain,
( ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| spl20_51 ),
inference(superposition,[],[f491,f282]) ).
tff(f491,plain,
( ~ f3($true)
| spl20_51 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f2058,plain,
( spl20_70
| spl20_42
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1789,f281,f276,f638]) ).
tff(f638,plain,
( spl20_70
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
tff(f276,plain,
( spl20_42
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
tff(f1789,plain,
( ( $false = bG1 )
| spl20_42
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f288]) ).
tff(f288,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl20_42
| ~ spl20_43 ),
inference(superposition,[],[f277,f282]) ).
tff(f277,plain,
( ( $true != bG1 )
| spl20_42 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f2054,plain,
( spl20_72
| spl20_38
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1788,f281,f258,f717]) ).
tff(f717,plain,
( spl20_72
<=> ( $false = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
tff(f258,plain,
( spl20_38
<=> ( $true = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
tff(f1788,plain,
( ( $false = bG3 )
| spl20_38
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f292]) ).
tff(f292,plain,
( ( $true != $true )
| ( $false = bG3 )
| spl20_38
| ~ spl20_43 ),
inference(superposition,[],[f259,f282]) ).
tff(f259,plain,
( ( $true != bG3 )
| spl20_38 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f2050,plain,
( spl20_65
| spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1785,f281,f213,f613]) ).
tff(f613,plain,
( spl20_65
<=> ( $false = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
tff(f213,plain,
( spl20_28
<=> ( $true = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
tff(f1785,plain,
( ( $false = bG8 )
| spl20_28
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f302]) ).
tff(f302,plain,
( ( $true != $true )
| ( $false = bG8 )
| spl20_28
| ~ spl20_43 ),
inference(superposition,[],[f214,f282]) ).
tff(f214,plain,
( ( $true != bG8 )
| spl20_28 ),
inference(avatar_component_clause,[],[f213]) ).
tff(f2012,plain,
( ~ spl20_30
| spl20_47
| ~ spl20_43
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f1074,f623,f281,f385,f222]) ).
tff(f222,plain,
( spl20_30
<=> ( $true = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
tff(f1074,plain,
( f1($false)
| ( $true != bG7 )
| ~ spl20_43
| ~ spl20_67 ),
inference(forward_demodulation,[],[f73,f932]) ).
tff(f73,plain,
( f1(bG6)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
( ( f1(bG6)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ f1(bG6) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f2011,plain,
( ~ spl20_32
| spl20_47
| spl20_34
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f431,f281,f240,f385,f231]) ).
tff(f231,plain,
( spl20_32
<=> ( $true = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
tff(f431,plain,
( f1($false)
| ( $true != bG6 )
| spl20_34
| ~ spl20_43 ),
inference(forward_demodulation,[],[f75,f341]) ).
tff(f341,plain,
( ( $false = bG5 )
| spl20_34
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f296]) ).
tff(f296,plain,
( ( $true != $true )
| ( $false = bG5 )
| spl20_34
| ~ spl20_43 ),
inference(superposition,[],[f241,f282]) ).
tff(f241,plain,
( ( $true != bG5 )
| spl20_34 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f75,plain,
( f1(bG5)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( ( f1(bG5)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ f1(bG5) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f1990,plain,
( spl20_3
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
tff(f1989,plain,
( $false
| spl20_3
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1919]) ).
tff(f1919,plain,
( ( $false != $false )
| spl20_3
| ~ spl20_84 ),
inference(superposition,[],[f102,f1911]) ).
tff(f1911,plain,
( ! [X0: $o] : ( $false = (X0) )
| ~ spl20_84 ),
inference(avatar_component_clause,[],[f1910]) ).
tff(f1910,plain,
( spl20_84
<=> ! [X0: $o] : ( $false = (X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
tff(f102,plain,
( ( $true != $false )
| spl20_3 ),
inference(avatar_component_clause,[],[f100]) ).
tff(f100,plain,
( spl20_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
tff(f1988,plain,
( spl20_69
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1987]) ).
tff(f1987,plain,
( $false
| spl20_69
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1928]) ).
tff(f1928,plain,
( ( $false != $false )
| spl20_69
| ~ spl20_84 ),
inference(superposition,[],[f634,f1911]) ).
tff(f634,plain,
( ( $false != bG2 )
| spl20_69 ),
inference(avatar_component_clause,[],[f633]) ).
tff(f1986,plain,
( ~ spl20_40
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1985]) ).
tff(f1985,plain,
( $false
| ~ spl20_40
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1929]) ).
tff(f1929,plain,
( ( $true = $false )
| ~ spl20_40
| ~ spl20_84 ),
inference(superposition,[],[f269,f1911]) ).
tff(f269,plain,
( ( $true = bG2 )
| ~ spl20_40 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f267,plain,
( spl20_40
<=> ( $true = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
tff(f1984,plain,
( spl20_73
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
tff(f1983,plain,
( $false
| spl20_73
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1931]) ).
tff(f1931,plain,
( ( $false != $false )
| spl20_73
| ~ spl20_84 ),
inference(superposition,[],[f828,f1911]) ).
tff(f828,plain,
( ( $false != bG4 )
| spl20_73 ),
inference(avatar_component_clause,[],[f827]) ).
tff(f1982,plain,
( ~ spl20_36
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1981]) ).
tff(f1981,plain,
( $false
| ~ spl20_36
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1932]) ).
tff(f1932,plain,
( ( $true = $false )
| ~ spl20_36
| ~ spl20_84 ),
inference(superposition,[],[f251,f1911]) ).
tff(f251,plain,
( ( $true = bG4 )
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f249]) ).
tff(f249,plain,
( spl20_36
<=> ( $true = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
tff(f1980,plain,
( spl20_63
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1979]) ).
tff(f1979,plain,
( $false
| spl20_63
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1940]) ).
tff(f1940,plain,
( ( $false != $false )
| spl20_63
| ~ spl20_84 ),
inference(superposition,[],[f599,f1911]) ).
tff(f599,plain,
( ( $false != bG10 )
| spl20_63 ),
inference(avatar_component_clause,[],[f598]) ).
tff(f1978,plain,
( ~ spl20_26
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
tff(f1977,plain,
( $false
| ~ spl20_26
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1941]) ).
tff(f1941,plain,
( ( $true = $false )
| ~ spl20_26
| ~ spl20_84 ),
inference(superposition,[],[f206,f1911]) ).
tff(f206,plain,
( ( $true = bG10 )
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f204,plain,
( spl20_26
<=> ( $true = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
tff(f1976,plain,
( spl20_59
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
tff(f1975,plain,
( $false
| spl20_59
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1943]) ).
tff(f1943,plain,
( ( $false != $false )
| spl20_59
| ~ spl20_84 ),
inference(superposition,[],[f567,f1911]) ).
tff(f567,plain,
( ( $false != bG12 )
| spl20_59 ),
inference(avatar_component_clause,[],[f566]) ).
tff(f566,plain,
( spl20_59
<=> ( $false = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
tff(f1974,plain,
( ~ spl20_22
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
tff(f1973,plain,
( $false
| ~ spl20_22
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1944]) ).
tff(f1944,plain,
( ( $true = $false )
| ~ spl20_22
| ~ spl20_84 ),
inference(superposition,[],[f188,f1911]) ).
tff(f188,plain,
( ( $true = bG12 )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f186,plain,
( spl20_22
<=> ( $true = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
tff(f1972,plain,
( spl20_57
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1971]) ).
tff(f1971,plain,
( $false
| spl20_57
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1946]) ).
tff(f1946,plain,
( ( $false != $false )
| spl20_57
| ~ spl20_84 ),
inference(superposition,[],[f545,f1911]) ).
tff(f545,plain,
( ( $false != bG14 )
| spl20_57 ),
inference(avatar_component_clause,[],[f544]) ).
tff(f544,plain,
( spl20_57
<=> ( $false = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
tff(f1970,plain,
( ~ spl20_18
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
tff(f1969,plain,
( $false
| ~ spl20_18
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1947]) ).
tff(f1947,plain,
( ( $true = $false )
| ~ spl20_18
| ~ spl20_84 ),
inference(superposition,[],[f170,f1911]) ).
tff(f170,plain,
( ( $true = bG14 )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f168,plain,
( spl20_18
<=> ( $true = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
tff(f1968,plain,
( spl20_80
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
tff(f1967,plain,
( $false
| spl20_80
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1950]) ).
tff(f1950,plain,
( ( $false != $false )
| spl20_80
| ~ spl20_84 ),
inference(superposition,[],[f1394,f1911]) ).
tff(f1394,plain,
( ( $false != bG16 )
| spl20_80 ),
inference(avatar_component_clause,[],[f1393]) ).
tff(f1966,plain,
( ~ spl20_14
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1965]) ).
tff(f1965,plain,
( $false
| ~ spl20_14
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1951]) ).
tff(f1951,plain,
( ( $true = $false )
| ~ spl20_14
| ~ spl20_84 ),
inference(superposition,[],[f152,f1911]) ).
tff(f1964,plain,
( spl20_55
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1963]) ).
tff(f1963,plain,
( $false
| spl20_55
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1953]) ).
tff(f1953,plain,
( ( $false != $false )
| spl20_55
| ~ spl20_84 ),
inference(superposition,[],[f514,f1911]) ).
tff(f514,plain,
( ( $false != bG17 )
| spl20_55 ),
inference(avatar_component_clause,[],[f513]) ).
tff(f513,plain,
( spl20_55
<=> ( $false = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
tff(f1962,plain,
( ~ spl20_12
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
tff(f1961,plain,
( $false
| ~ spl20_12
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1954]) ).
tff(f1954,plain,
( ( $true = $false )
| ~ spl20_12
| ~ spl20_84 ),
inference(superposition,[],[f143,f1911]) ).
tff(f143,plain,
( ( $true = bG17 )
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f141,plain,
( spl20_12
<=> ( $true = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
tff(f1960,plain,
( spl20_44
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
tff(f1959,plain,
( $false
| spl20_44
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1955]) ).
tff(f1955,plain,
( ( $false != $false )
| spl20_44
| ~ spl20_84 ),
inference(superposition,[],[f349,f1911]) ).
tff(f349,plain,
( ( $false != bG19 )
| spl20_44 ),
inference(avatar_component_clause,[],[f348]) ).
tff(f1958,plain,
( ~ spl20_8
| ~ spl20_84 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
tff(f1957,plain,
( $false
| ~ spl20_8
| ~ spl20_84 ),
inference(trivial_inequality_removal,[],[f1956]) ).
tff(f1956,plain,
( ( $true = $false )
| ~ spl20_8
| ~ spl20_84 ),
inference(superposition,[],[f125,f1911]) ).
tff(f125,plain,
( ( $true = bG19 )
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f123,plain,
( spl20_8
<=> ( $true = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
tff(f1912,plain,
( spl20_84
| ~ spl20_54
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f1902,f1766,f508,f1910]) ).
tff(f508,plain,
( spl20_54
<=> ( $false = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
tff(f1766,plain,
( spl20_83
<=> ! [X0: $o] :
( ( bG18 = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
tff(f1902,plain,
( ! [X0: $o] : ( $false = (X0) )
| ~ spl20_54
| ~ spl20_83 ),
inference(duplicate_literal_removal,[],[f1897]) ).
tff(f1897,plain,
( ! [X0: $o] :
( ( $false = (X0) )
| ( $false = (X0) ) )
| ~ spl20_54
| ~ spl20_83 ),
inference(superposition,[],[f510,f1767]) ).
tff(f1767,plain,
( ! [X0: $o] :
( ( bG18 = (X0) )
| ( $false = (X0) ) )
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f1766]) ).
tff(f510,plain,
( ( $false = bG18 )
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f508]) ).
tff(f1904,plain,
( spl20_47
| ~ spl20_11
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f1453,f1393,f137,f385]) ).
tff(f1453,plain,
( f1($false)
| ~ spl20_11
| ~ spl20_80 ),
inference(superposition,[],[f138,f1395]) ).
tff(f138,plain,
( f1(bG16)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f1859,plain,
( ~ spl20_20
| spl20_51
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f1162,f186,f490,f177]) ).
tff(f177,plain,
( spl20_20
<=> ( $true = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
tff(f1162,plain,
( f3($true)
| ( $true != bG13 )
| ~ spl20_22 ),
inference(forward_demodulation,[],[f61,f188]) ).
tff(f61,plain,
( f3(bG12)
| ( $true != bG13 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
( ( f3(bG12)
| ( $true != bG13 ) )
& ( ( $true = bG13 )
| ~ f3(bG12) ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f1858,plain,
( ~ spl20_30
| spl20_29 ),
inference(avatar_split_clause,[],[f73,f218,f222]) ).
tff(f1850,plain,
( ~ spl20_51
| spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f1819,f186,f173,f490]) ).
tff(f173,plain,
( spl20_19
<=> f3(bG12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
tff(f1819,plain,
( ~ f3($true)
| spl20_19
| ~ spl20_22 ),
inference(forward_demodulation,[],[f175,f188]) ).
tff(f175,plain,
( ~ f3(bG12)
| spl20_19 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f1848,plain,
( spl20_35
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f980,f249,f245]) ).
tff(f245,plain,
( spl20_35
<=> f3(bG3) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
tff(f980,plain,
( f3(bG3)
| ~ spl20_36 ),
inference(trivial_inequality_removal,[],[f483]) ).
tff(f483,plain,
( ( $true != $true )
| f3(bG3)
| ~ spl20_36 ),
inference(forward_demodulation,[],[f79,f251]) ).
tff(f79,plain,
( f3(bG3)
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
( ( f3(bG3)
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ f3(bG3) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f1845,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f89,f95,f91]) ).
tff(f95,plain,
( spl20_2
<=> f0(bG19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
tff(f1837,plain,
( ~ spl20_14
| ~ spl20_75
| ~ spl20_78 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
tff(f1836,plain,
( $false
| ~ spl20_14
| ~ spl20_75
| ~ spl20_78 ),
inference(trivial_inequality_removal,[],[f1835]) ).
tff(f1835,plain,
( ( $true = $false )
| ~ spl20_14
| ~ spl20_75
| ~ spl20_78 ),
inference(forward_demodulation,[],[f152,f1410]) ).
tff(f1410,plain,
( ! [X0: $o] : ( $false = (X0) )
| ~ spl20_75
| ~ spl20_78 ),
inference(duplicate_literal_removal,[],[f1409]) ).
tff(f1409,plain,
( ! [X0: $o] :
( ( $false = (X0) )
| ( $false = (X0) ) )
| ~ spl20_75
| ~ spl20_78 ),
inference(resolution,[],[f872,f859]) ).
tff(f859,plain,
( ! [X0: $o] :
( f3((X0))
| ( $false = (X0) ) )
| ~ spl20_75 ),
inference(avatar_component_clause,[],[f858]) ).
tff(f858,plain,
( spl20_75
<=> ! [X0: $o] :
( f3((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
tff(f872,plain,
( ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) )
| ~ spl20_78 ),
inference(avatar_component_clause,[],[f871]) ).
tff(f1828,plain,
( ~ spl20_18
| ~ spl20_75
| ~ spl20_78 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
tff(f1827,plain,
( $false
| ~ spl20_18
| ~ spl20_75
| ~ spl20_78 ),
inference(trivial_inequality_removal,[],[f1826]) ).
tff(f1826,plain,
( ( $true = $false )
| ~ spl20_18
| ~ spl20_75
| ~ spl20_78 ),
inference(forward_demodulation,[],[f170,f1410]) ).
tff(f1778,plain,
( ~ spl20_8
| ~ spl20_44 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
tff(f1777,plain,
( $false
| ~ spl20_8
| ~ spl20_44 ),
inference(trivial_inequality_removal,[],[f1776]) ).
tff(f1776,plain,
( ( $true = $false )
| ~ spl20_8
| ~ spl20_44 ),
inference(forward_demodulation,[],[f125,f350]) ).
tff(f1769,plain,
( ~ spl20_46
| spl20_7
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f1761,f508,f119,f363]) ).
tff(f119,plain,
( spl20_7
<=> f0(bG18) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
tff(f1761,plain,
( ~ f0($false)
| spl20_7
| ~ spl20_54 ),
inference(superposition,[],[f121,f510]) ).
tff(f121,plain,
( ~ f0(bG18)
| spl20_7 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f1768,plain,
( spl20_83
| spl20_7
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f1743,f1740,f119,f1766]) ).
tff(f1740,plain,
( spl20_82
<=> ! [X0: $o,X1: $o] :
( f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
tff(f1743,plain,
( ! [X0: $o] :
( ( bG18 = (X0) )
| ( $false = (X0) ) )
| spl20_7
| ~ spl20_82 ),
inference(resolution,[],[f1741,f121]) ).
tff(f1741,plain,
( ! [X0: $o,X1: $o] :
( f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) )
| ~ spl20_82 ),
inference(avatar_component_clause,[],[f1740]) ).
tff(f1742,plain,
( spl20_82
| ~ spl20_46
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f1569,f1459,f363,f1740]) ).
tff(f1459,plain,
( spl20_81
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
tff(f1569,plain,
( ! [X0: $o,X1: $o] :
( f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) )
| ~ spl20_46
| ~ spl20_81 ),
inference(superposition,[],[f365,f1460]) ).
tff(f1460,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f1459]) ).
tff(f365,plain,
( f0($false)
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f363]) ).
tff(f1461,plain,
( spl20_81
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f284,f281,f1459]) ).
tff(f284,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl20_43 ),
inference(superposition,[],[f282,f282]) ).
tff(f1412,plain,
( ~ spl20_51
| ~ spl20_78 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
tff(f1411,plain,
( $false
| ~ spl20_51
| ~ spl20_78 ),
inference(trivial_inequality_removal,[],[f1408]) ).
tff(f1408,plain,
( ( $true = $false )
| ~ spl20_51
| ~ spl20_78 ),
inference(resolution,[],[f872,f492]) ).
tff(f492,plain,
( f3($true)
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f1397,plain,
( spl20_68
| spl20_34
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1254,f281,f240,f628]) ).
tff(f628,plain,
( spl20_68
<=> ( $false = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
tff(f1254,plain,
( ( $false = bG5 )
| spl20_34
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f296]) ).
tff(f1396,plain,
( spl20_80
| spl20_14
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1071,f281,f150,f1393]) ).
tff(f1071,plain,
( ( $false = bG16 )
| spl20_14
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f1016]) ).
tff(f1016,plain,
( ( $true != $true )
| ( $false = bG16 )
| spl20_14
| ~ spl20_43 ),
inference(superposition,[],[f151,f282]) ).
tff(f1363,plain,
( ~ spl20_10
| spl20_45
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f1066,f141,f354,f132]) ).
tff(f132,plain,
( spl20_10
<=> ( $true = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
tff(f354,plain,
( spl20_45
<=> f0($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
tff(f1066,plain,
( f0($true)
| ( $true != bG18 )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f51,f143]) ).
tff(f51,plain,
( f0(bG17)
| ( $true != bG18 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
( ( f0(bG17)
| ( $true != bG18 ) )
& ( ( $true = bG18 )
| ~ f0(bG17) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f1362,plain,
( ~ spl20_14
| spl20_49
| spl20_16
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f523,f281,f159,f458,f150]) ).
tff(f159,plain,
( spl20_16
<=> ( $true = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
tff(f523,plain,
( f2($false)
| ( $true != bG16 )
| spl20_16
| ~ spl20_43 ),
inference(forward_demodulation,[],[f55,f331]) ).
tff(f331,plain,
( ( $false = bG15 )
| spl20_16
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f316]) ).
tff(f316,plain,
( ( $true != $true )
| ( $false = bG15 )
| spl20_16
| ~ spl20_43 ),
inference(superposition,[],[f160,f282]) ).
tff(f160,plain,
( ( $true != bG15 )
| spl20_16 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f55,plain,
( f2(bG15)
| ( $true != bG16 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ( f2(bG15)
| ( $true != bG16 ) )
& ( ( $true = bG16 )
| ~ f2(bG15) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f1345,plain,
( ~ spl20_45
| spl20_7
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f1341,f132,f119,f354]) ).
tff(f1341,plain,
( ~ f0($true)
| spl20_7
| ~ spl20_10 ),
inference(forward_demodulation,[],[f121,f134]) ).
tff(f134,plain,
( ( $true = bG18 )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f132]) ).
tff(f1343,plain,
( spl20_45
| ~ spl20_1
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f1335,f213,f91,f354]) ).
tff(f1335,plain,
( f0($true)
| ~ spl20_1
| ~ spl20_28 ),
inference(forward_demodulation,[],[f93,f215]) ).
tff(f215,plain,
( ( $true = bG8 )
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f213]) ).
tff(f93,plain,
( f0(bG8)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f1336,plain,
( ~ spl20_45
| ~ spl20_8
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f1334,f213,f123,f354]) ).
tff(f1334,plain,
( ~ f0($true)
| ~ spl20_8
| ~ spl20_28 ),
inference(duplicate_literal_removal,[],[f1333]) ).
tff(f1333,plain,
( ~ f0($true)
| ~ f0($true)
| ~ spl20_8
| ~ spl20_28 ),
inference(forward_demodulation,[],[f358,f215]) ).
tff(f358,plain,
( ~ f0($true)
| ~ f0(bG8)
| ~ spl20_8 ),
inference(forward_demodulation,[],[f89,f125]) ).
tff(f1331,plain,
( ~ spl20_45
| spl20_1
| ~ spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1328,f281,f213,f91,f354]) ).
tff(f1328,plain,
( ~ f0($true)
| spl20_1
| ~ spl20_28
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f1327]) ).
tff(f1327,plain,
( ( $true = $false )
| ~ f0($true)
| spl20_1
| ~ spl20_28
| ~ spl20_43 ),
inference(forward_demodulation,[],[f303,f215]) ).
tff(f303,plain,
( ~ f0($true)
| ( $false = bG8 )
| spl20_1
| ~ spl20_43 ),
inference(superposition,[],[f92,f282]) ).
tff(f92,plain,
( ~ f0(bG8)
| spl20_1 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f1323,plain,
( ~ spl20_28
| ~ spl20_65 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
tff(f1322,plain,
( $false
| ~ spl20_28
| ~ spl20_65 ),
inference(trivial_inequality_removal,[],[f1321]) ).
tff(f1321,plain,
( ( $true = $false )
| ~ spl20_28
| ~ spl20_65 ),
inference(forward_demodulation,[],[f215,f615]) ).
tff(f615,plain,
( ( $false = bG8 )
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f613]) ).
tff(f1317,plain,
( ~ spl20_30
| ~ spl20_66 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
tff(f1316,plain,
( $false
| ~ spl20_30
| ~ spl20_66 ),
inference(trivial_inequality_removal,[],[f1315]) ).
tff(f1315,plain,
( ( $true = $false )
| ~ spl20_30
| ~ spl20_66 ),
inference(forward_demodulation,[],[f224,f620]) ).
tff(f620,plain,
( ( $false = bG7 )
| ~ spl20_66 ),
inference(avatar_component_clause,[],[f618]) ).
tff(f618,plain,
( spl20_66
<=> ( $false = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
tff(f224,plain,
( ( $true = bG7 )
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f1297,plain,
( ~ spl20_49
| spl20_15
| ~ spl20_43
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f1247,f544,f281,f155,f458]) ).
tff(f155,plain,
( spl20_15
<=> f2(bG14) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
tff(f1247,plain,
( ~ f2($false)
| spl20_15
| ~ spl20_43
| ~ spl20_57 ),
inference(forward_demodulation,[],[f157,f1123]) ).
tff(f1123,plain,
( ( $false = bG14 )
| ~ spl20_43
| ~ spl20_57 ),
inference(trivial_inequality_removal,[],[f995]) ).
tff(f995,plain,
( ( $true = $false )
| ( $false = bG14 )
| ~ spl20_43
| ~ spl20_57 ),
inference(superposition,[],[f546,f282]) ).
tff(f546,plain,
( ( $false = bG14 )
| ~ spl20_57 ),
inference(avatar_component_clause,[],[f544]) ).
tff(f157,plain,
( ~ f2(bG14)
| spl20_15 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f1296,plain,
( ~ spl20_47
| spl20_31
| ~ spl20_43
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f1038,f628,f281,f227,f385]) ).
tff(f1038,plain,
( ~ f1($false)
| spl20_31
| ~ spl20_43
| ~ spl20_68 ),
inference(forward_demodulation,[],[f229,f933]) ).
tff(f933,plain,
( ( $false = bG5 )
| ~ spl20_43
| ~ spl20_68 ),
inference(trivial_inequality_removal,[],[f840]) ).
tff(f840,plain,
( ( $true = $false )
| ( $false = bG5 )
| ~ spl20_43
| ~ spl20_68 ),
inference(superposition,[],[f630,f282]) ).
tff(f630,plain,
( ( $false = bG5 )
| ~ spl20_68 ),
inference(avatar_component_clause,[],[f628]) ).
tff(f229,plain,
( ~ f1(bG5)
| spl20_31 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f1274,plain,
( ~ spl20_38
| ~ spl20_43
| ~ spl20_72 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
tff(f1273,plain,
( $false
| ~ spl20_38
| ~ spl20_43
| ~ spl20_72 ),
inference(trivial_inequality_removal,[],[f1272]) ).
tff(f1272,plain,
( ( $true = $false )
| ~ spl20_38
| ~ spl20_43
| ~ spl20_72 ),
inference(forward_demodulation,[],[f260,f1179]) ).
tff(f1179,plain,
( ( $false = bG3 )
| ~ spl20_43
| ~ spl20_72 ),
inference(trivial_inequality_removal,[],[f848]) ).
tff(f848,plain,
( ( $true = $false )
| ( $false = bG3 )
| ~ spl20_43
| ~ spl20_72 ),
inference(superposition,[],[f719,f282]) ).
tff(f719,plain,
( ( $false = bG3 )
| ~ spl20_72 ),
inference(avatar_component_clause,[],[f717]) ).
tff(f260,plain,
( ( $true = bG3 )
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f1250,plain,
( ~ spl20_50
| spl20_37
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f819,f633,f254,f479]) ).
tff(f1232,plain,
( ~ spl20_49
| spl20_17
| ~ spl20_43
| ~ spl20_58 ),
inference(avatar_split_clause,[],[f1231,f552,f281,f164,f458]) ).
tff(f164,plain,
( spl20_17
<=> f2(bG13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
tff(f552,plain,
( spl20_58
<=> ( $false = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
tff(f1231,plain,
( ~ f2($false)
| spl20_17
| ~ spl20_43
| ~ spl20_58 ),
inference(forward_demodulation,[],[f166,f1208]) ).
tff(f1208,plain,
( ( $false = bG13 )
| ~ spl20_43
| ~ spl20_58 ),
inference(trivial_inequality_removal,[],[f666]) ).
tff(f666,plain,
( ( $true = $false )
| ( $false = bG13 )
| ~ spl20_43
| ~ spl20_58 ),
inference(superposition,[],[f554,f282]) ).
tff(f554,plain,
( ( $false = bG13 )
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f552]) ).
tff(f166,plain,
( ~ f2(bG13)
| spl20_17 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f1226,plain,
( spl20_52
| ~ spl20_16
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f1213,f168,f159,f496]) ).
tff(f496,plain,
( spl20_52
<=> f2($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
tff(f1213,plain,
( f2($true)
| ~ spl20_16
| ~ spl20_18 ),
inference(trivial_inequality_removal,[],[f1212]) ).
tff(f1212,plain,
( ( $true != $true )
| f2($true)
| ~ spl20_16
| ~ spl20_18 ),
inference(forward_demodulation,[],[f915,f161]) ).
tff(f161,plain,
( ( $true = bG15 )
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f915,plain,
( f2($true)
| ( $true != bG15 )
| ~ spl20_18 ),
inference(forward_demodulation,[],[f57,f170]) ).
tff(f57,plain,
( f2(bG14)
| ( $true != bG15 ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
( ( f2(bG14)
| ( $true != bG15 ) )
& ( ( $true = bG15 )
| ~ f2(bG14) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f1218,plain,
( spl20_51
| ~ spl20_39
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f1194,f276,f263,f490]) ).
tff(f263,plain,
( spl20_39
<=> f3(bG1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
tff(f1194,plain,
( f3($true)
| ~ spl20_39
| ~ spl20_42 ),
inference(forward_demodulation,[],[f264,f278]) ).
tff(f278,plain,
( ( $true = bG1 )
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f264,plain,
( f3(bG1)
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f1204,plain,
( ~ spl20_51
| spl20_37
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f1203,f267,f254,f490]) ).
tff(f1203,plain,
( ~ f3($true)
| spl20_37
| ~ spl20_40 ),
inference(superposition,[],[f256,f269]) ).
tff(f1199,plain,
( spl20_55
| spl20_9
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f1186,f1165,f128,f513]) ).
tff(f128,plain,
( spl20_9
<=> f0(bG17) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
tff(f1165,plain,
( spl20_79
<=> ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
tff(f1186,plain,
( ( $false = bG17 )
| spl20_9
| ~ spl20_79 ),
inference(resolution,[],[f1166,f130]) ).
tff(f130,plain,
( ~ f0(bG17)
| spl20_9 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f1166,plain,
( ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) )
| ~ spl20_79 ),
inference(avatar_component_clause,[],[f1165]) ).
tff(f1189,plain,
( ~ spl20_51
| spl20_39
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f1132,f276,f263,f490]) ).
tff(f1132,plain,
( ~ f3($true)
| spl20_39
| ~ spl20_42 ),
inference(forward_demodulation,[],[f265,f278]) ).
tff(f265,plain,
( ~ f3(bG1)
| spl20_39 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f1188,plain,
( ~ spl20_50
| spl20_35
| ~ spl20_72 ),
inference(avatar_split_clause,[],[f821,f717,f245,f479]) ).
tff(f821,plain,
( ~ f3($false)
| spl20_35
| ~ spl20_72 ),
inference(forward_demodulation,[],[f247,f719]) ).
tff(f247,plain,
( ~ f3(bG3)
| spl20_35 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f1177,plain,
( spl20_51
| ~ spl20_20
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f1173,f186,f177,f490]) ).
tff(f1173,plain,
( f3($true)
| ~ spl20_20
| ~ spl20_22 ),
inference(trivial_inequality_removal,[],[f1172]) ).
tff(f1172,plain,
( ( $true != $true )
| f3($true)
| ~ spl20_20
| ~ spl20_22 ),
inference(forward_demodulation,[],[f1162,f179]) ).
tff(f179,plain,
( ( $true = bG13 )
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f1176,plain,
( spl20_49
| ~ spl20_33
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f898,f827,f236,f458]) ).
tff(f898,plain,
( f2($false)
| ~ spl20_33
| ~ spl20_73 ),
inference(forward_demodulation,[],[f237,f829]) ).
tff(f237,plain,
( f2(bG4)
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f1175,plain,
( spl20_61
| ~ spl20_42
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f778,f643,f276,f578]) ).
tff(f778,plain,
( f4($false)
| ~ spl20_42
| ~ spl20_71 ),
inference(trivial_inequality_removal,[],[f777]) ).
tff(f777,plain,
( ( $true != $true )
| f4($false)
| ~ spl20_42
| ~ spl20_71 ),
inference(forward_demodulation,[],[f753,f278]) ).
tff(f753,plain,
( f4($false)
| ( $true != bG1 )
| ~ spl20_71 ),
inference(forward_demodulation,[],[f85,f645]) ).
tff(f85,plain,
( f4(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
( ( f4(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f4(bG0) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f1171,plain,
( spl20_51
| ~ spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f733,f186,f173,f490]) ).
tff(f733,plain,
( f3($true)
| ~ spl20_19
| ~ spl20_22 ),
inference(forward_demodulation,[],[f174,f188]) ).
tff(f174,plain,
( f3(bG12)
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f1167,plain,
( spl20_79
| ~ spl20_43
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f427,f354,f281,f1165]) ).
tff(f427,plain,
( ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| ~ spl20_45 ),
inference(superposition,[],[f356,f282]) ).
tff(f356,plain,
( f0($true)
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f1163,plain,
( ~ spl20_4
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f776,f643,f105]) ).
tff(f1157,plain,
( ~ spl20_22
| ~ spl20_43
| ~ spl20_59 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
tff(f1156,plain,
( $false
| ~ spl20_22
| ~ spl20_43
| ~ spl20_59 ),
inference(trivial_inequality_removal,[],[f1155]) ).
tff(f1155,plain,
( ( $true = $false )
| ~ spl20_22
| ~ spl20_43
| ~ spl20_59 ),
inference(forward_demodulation,[],[f188,f692]) ).
tff(f692,plain,
( ( $false = bG12 )
| ~ spl20_43
| ~ spl20_59 ),
inference(trivial_inequality_removal,[],[f669]) ).
tff(f669,plain,
( ( $true = $false )
| ( $false = bG12 )
| ~ spl20_43
| ~ spl20_59 ),
inference(superposition,[],[f568,f282]) ).
tff(f568,plain,
( ( $false = bG12 )
| ~ spl20_59 ),
inference(avatar_component_clause,[],[f566]) ).
tff(f1147,plain,
( ~ spl20_62
| spl20_23
| ~ spl20_26 ),
inference(avatar_split_clause,[],[f767,f204,f191,f588]) ).
tff(f767,plain,
( ~ f4($true)
| spl20_23
| ~ spl20_26 ),
inference(forward_demodulation,[],[f193,f206]) ).
tff(f1146,plain,
( ~ spl20_62
| ~ spl20_77 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
tff(f1145,plain,
( $false
| ~ spl20_62
| ~ spl20_77 ),
inference(trivial_inequality_removal,[],[f1143]) ).
tff(f1143,plain,
( ( $true = $false )
| ~ spl20_62
| ~ spl20_77 ),
inference(resolution,[],[f590,f868]) ).
tff(f590,plain,
( f4($true)
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f588]) ).
tff(f1115,plain,
( ~ spl20_52
| spl20_13
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f918,f159,f146,f496]) ).
tff(f146,plain,
( spl20_13
<=> f2(bG15) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
tff(f918,plain,
( ~ f2($true)
| spl20_13
| ~ spl20_16 ),
inference(forward_demodulation,[],[f148,f161]) ).
tff(f148,plain,
( ~ f2(bG15)
| spl20_13 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f1113,plain,
( ~ spl20_45
| ~ spl20_53 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
tff(f1112,plain,
( $false
| ~ spl20_45
| ~ spl20_53 ),
inference(trivial_inequality_removal,[],[f1110]) ).
tff(f1110,plain,
( ( $true = $false )
| ~ spl20_45
| ~ spl20_53 ),
inference(resolution,[],[f356,f505]) ).
tff(f505,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) )
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f504]) ).
tff(f504,plain,
( spl20_53
<=> ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
tff(f1106,plain,
( ~ spl20_16
| ~ spl20_43
| ~ spl20_56 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
tff(f1105,plain,
( $false
| ~ spl20_16
| ~ spl20_43
| ~ spl20_56 ),
inference(trivial_inequality_removal,[],[f1104]) ).
tff(f1104,plain,
( ( $true = $false )
| ~ spl20_16
| ~ spl20_43
| ~ spl20_56 ),
inference(forward_demodulation,[],[f161,f949]) ).
tff(f949,plain,
( ( $false = bG15 )
| ~ spl20_43
| ~ spl20_56 ),
inference(trivial_inequality_removal,[],[f661]) ).
tff(f661,plain,
( ( $true = $false )
| ( $false = bG15 )
| ~ spl20_43
| ~ spl20_56 ),
inference(superposition,[],[f530,f282]) ).
tff(f530,plain,
( ( $false = bG15 )
| ~ spl20_56 ),
inference(avatar_component_clause,[],[f528]) ).
tff(f528,plain,
( spl20_56
<=> ( $false = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
tff(f1100,plain,
( ~ spl20_18
| ~ spl20_57 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
tff(f1099,plain,
( $false
| ~ spl20_18
| ~ spl20_57 ),
inference(trivial_inequality_removal,[],[f1098]) ).
tff(f1098,plain,
( ( $true = $false )
| ~ spl20_18
| ~ spl20_57 ),
inference(forward_demodulation,[],[f170,f546]) ).
tff(f1092,plain,
( ~ spl20_52
| spl20_17
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f946,f177,f164,f496]) ).
tff(f946,plain,
( ~ f2($true)
| spl20_17
| ~ spl20_20 ),
inference(forward_demodulation,[],[f166,f179]) ).
tff(f1091,plain,
( ~ spl20_52
| ~ spl20_76 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
tff(f1090,plain,
( $false
| ~ spl20_52
| ~ spl20_76 ),
inference(trivial_inequality_removal,[],[f1088]) ).
tff(f1088,plain,
( ( $true = $false )
| ~ spl20_52
| ~ spl20_76 ),
inference(resolution,[],[f498,f864]) ).
tff(f864,plain,
( ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) )
| ~ spl20_76 ),
inference(avatar_component_clause,[],[f863]) ).
tff(f863,plain,
( spl20_76
<=> ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
tff(f498,plain,
( f2($true)
| ~ spl20_52 ),
inference(avatar_component_clause,[],[f496]) ).
tff(f1069,plain,
( spl20_48
| ~ spl20_12
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f1057,f150,f141,f396]) ).
tff(f1057,plain,
( f1($true)
| ~ spl20_12
| ~ spl20_14 ),
inference(forward_demodulation,[],[f999,f152]) ).
tff(f999,plain,
( f1(bG16)
| ~ spl20_12 ),
inference(trivial_inequality_removal,[],[f521]) ).
tff(f521,plain,
( ( $true != $true )
| f1(bG16)
| ~ spl20_12 ),
inference(forward_demodulation,[],[f53,f143]) ).
tff(f53,plain,
( f1(bG16)
| ( $true != bG17 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
( ( f1(bG16)
| ( $true != bG17 ) )
& ( ( $true = bG17 )
| ~ f1(bG16) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f1062,plain,
( ~ spl20_12
| ~ spl20_43
| ~ spl20_55 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
tff(f1061,plain,
( $false
| ~ spl20_12
| ~ spl20_43
| ~ spl20_55 ),
inference(trivial_inequality_removal,[],[f1060]) ).
tff(f1060,plain,
( ( $true = $false )
| ~ spl20_12
| ~ spl20_43
| ~ spl20_55 ),
inference(forward_demodulation,[],[f143,f1031]) ).
tff(f1031,plain,
( ( $false = bG17 )
| ~ spl20_43
| ~ spl20_55 ),
inference(trivial_inequality_removal,[],[f992]) ).
tff(f992,plain,
( ( $true = $false )
| ( $false = bG17 )
| ~ spl20_43
| ~ spl20_55 ),
inference(superposition,[],[f515,f282]) ).
tff(f515,plain,
( ( $false = bG17 )
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f513]) ).
tff(f1047,plain,
( ~ spl20_45
| ~ spl20_46
| ~ spl20_8
| spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f359,f281,f213,f123,f363,f354]) ).
tff(f359,plain,
( ~ f0($false)
| ~ f0($true)
| ~ spl20_8
| spl20_28
| ~ spl20_43 ),
inference(forward_demodulation,[],[f358,f338]) ).
tff(f338,plain,
( ( $false = bG8 )
| spl20_28
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f302]) ).
tff(f1043,plain,
( ~ spl20_10
| ~ spl20_54 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
tff(f1042,plain,
( $false
| ~ spl20_10
| ~ spl20_54 ),
inference(trivial_inequality_removal,[],[f1041]) ).
tff(f1041,plain,
( ( $true = $false )
| ~ spl20_10
| ~ spl20_54 ),
inference(forward_demodulation,[],[f134,f510]) ).
tff(f1027,plain,
( ~ spl20_47
| spl20_27
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f684,f618,f209,f385]) ).
tff(f209,plain,
( spl20_27
<=> f1(bG7) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
tff(f684,plain,
( ~ f1($false)
| spl20_27
| ~ spl20_66 ),
inference(superposition,[],[f211,f620]) ).
tff(f211,plain,
( ~ f1(bG7)
| spl20_27 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f1012,plain,
( spl20_29
| ~ spl20_32
| ~ spl20_74 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
tff(f1011,plain,
( $false
| spl20_29
| ~ spl20_32
| ~ spl20_74 ),
inference(trivial_inequality_removal,[],[f1010]) ).
tff(f1010,plain,
( ( $true = $false )
| spl20_29
| ~ spl20_32
| ~ spl20_74 ),
inference(forward_demodulation,[],[f233,f875]) ).
tff(f875,plain,
( ( $false = bG6 )
| spl20_29
| ~ spl20_74 ),
inference(resolution,[],[f855,f220]) ).
tff(f855,plain,
( ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) )
| ~ spl20_74 ),
inference(avatar_component_clause,[],[f854]) ).
tff(f854,plain,
( spl20_74
<=> ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
tff(f233,plain,
( ( $true = bG6 )
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f1003,plain,
( ~ spl20_47
| spl20_31
| ~ spl20_43
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f942,f628,f281,f227,f385]) ).
tff(f942,plain,
( ~ f1($false)
| spl20_31
| ~ spl20_43
| ~ spl20_68 ),
inference(forward_demodulation,[],[f229,f933]) ).
tff(f998,plain,
( ~ spl20_46
| spl20_9
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f993,f513,f128,f363]) ).
tff(f993,plain,
( ~ f0($false)
| spl20_9
| ~ spl20_55 ),
inference(superposition,[],[f130,f515]) ).
tff(f987,plain,
( ~ spl20_36
| ~ spl20_73 ),
inference(avatar_contradiction_clause,[],[f986]) ).
tff(f986,plain,
( $false
| ~ spl20_36
| ~ spl20_73 ),
inference(trivial_inequality_removal,[],[f985]) ).
tff(f985,plain,
( ( $true = $false )
| ~ spl20_36
| ~ spl20_73 ),
inference(forward_demodulation,[],[f251,f829]) ).
tff(f979,plain,
( ~ spl20_51
| spl20_35
| ~ spl20_38
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f975,f281,f258,f245,f490]) ).
tff(f975,plain,
( ~ f3($true)
| spl20_35
| ~ spl20_38
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f974]) ).
tff(f974,plain,
( ( $true = $false )
| ~ f3($true)
| spl20_35
| ~ spl20_38
| ~ spl20_43 ),
inference(forward_demodulation,[],[f966,f260]) ).
tff(f966,plain,
( ~ f3($true)
| ( $false = bG3 )
| spl20_35
| ~ spl20_43 ),
inference(superposition,[],[f247,f282]) ).
tff(f973,plain,
( spl20_51
| ~ spl20_37
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f750,f267,f254,f490]) ).
tff(f750,plain,
( f3($true)
| ~ spl20_37
| ~ spl20_40 ),
inference(forward_demodulation,[],[f255,f269]) ).
tff(f255,plain,
( f3(bG2)
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f967,plain,
( ~ spl20_50
| spl20_39
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f817,f638,f263,f479]) ).
tff(f817,plain,
( ~ f3($false)
| spl20_39
| ~ spl20_70 ),
inference(forward_demodulation,[],[f265,f640]) ).
tff(f640,plain,
( ( $false = bG1 )
| ~ spl20_70 ),
inference(avatar_component_clause,[],[f638]) ).
tff(f960,plain,
( ~ spl20_50
| spl20_35
| ~ spl20_72 ),
inference(avatar_split_clause,[],[f821,f717,f245,f479]) ).
tff(f958,plain,
( ~ spl20_20
| spl20_50
| spl20_22
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f558,f281,f186,f479,f177]) ).
tff(f558,plain,
( f3($false)
| ( $true != bG13 )
| spl20_22
| ~ spl20_43 ),
inference(forward_demodulation,[],[f61,f334]) ).
tff(f334,plain,
( ( $false = bG12 )
| spl20_22
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f310]) ).
tff(f310,plain,
( ( $true != $true )
| ( $false = bG12 )
| spl20_22
| ~ spl20_43 ),
inference(superposition,[],[f187,f282]) ).
tff(f187,plain,
( ( $true != bG12 )
| spl20_22 ),
inference(avatar_component_clause,[],[f186]) ).
tff(f957,plain,
( ~ spl20_16
| spl20_49
| spl20_18
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f534,f281,f168,f458,f159]) ).
tff(f534,plain,
( f2($false)
| ( $true != bG15 )
| spl20_18
| ~ spl20_43 ),
inference(forward_demodulation,[],[f57,f332]) ).
tff(f332,plain,
( ( $false = bG14 )
| spl20_18
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f314]) ).
tff(f314,plain,
( ( $true != $true )
| ( $false = bG14 )
| spl20_18
| ~ spl20_43 ),
inference(superposition,[],[f169,f282]) ).
tff(f169,plain,
( ( $true != bG14 )
| spl20_18 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f956,plain,
( ~ spl20_18
| spl20_17 ),
inference(avatar_split_clause,[],[f59,f164,f168]) ).
tff(f59,plain,
( f2(bG13)
| ( $true != bG14 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( ( f2(bG13)
| ( $true != bG14 ) )
& ( ( $true = bG14 )
| ~ f2(bG13) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f947,plain,
( spl20_15
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f935,f159,f155]) ).
tff(f935,plain,
( f2(bG14)
| ~ spl20_16 ),
inference(trivial_inequality_removal,[],[f934]) ).
tff(f934,plain,
( ( $true != $true )
| f2(bG14)
| ~ spl20_16 ),
inference(forward_demodulation,[],[f57,f161]) ).
tff(f928,plain,
( ~ spl20_48
| spl20_29
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f444,f231,f218,f396]) ).
tff(f444,plain,
( ~ f1($true)
| spl20_29
| ~ spl20_32 ),
inference(forward_demodulation,[],[f220,f233]) ).
tff(f926,plain,
( ~ spl20_32
| ~ spl20_67 ),
inference(avatar_contradiction_clause,[],[f925]) ).
tff(f925,plain,
( $false
| ~ spl20_32
| ~ spl20_67 ),
inference(trivial_inequality_removal,[],[f924]) ).
tff(f924,plain,
( ( $true = $false )
| ~ spl20_32
| ~ spl20_67 ),
inference(forward_demodulation,[],[f233,f625]) ).
tff(f919,plain,
( ~ spl20_48
| spl20_31
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f910,f240,f227,f396]) ).
tff(f910,plain,
( ~ f1($true)
| spl20_31
| ~ spl20_34 ),
inference(superposition,[],[f229,f242]) ).
tff(f912,plain,
( ~ spl20_48
| spl20_11
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f909,f150,f137,f396]) ).
tff(f909,plain,
( ~ f1($true)
| spl20_11
| ~ spl20_14 ),
inference(superposition,[],[f139,f152]) ).
tff(f911,plain,
( ~ spl20_12
| spl20_11 ),
inference(avatar_split_clause,[],[f53,f137,f141]) ).
tff(f902,plain,
( ~ spl20_49
| spl20_13
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f889,f528,f146,f458]) ).
tff(f889,plain,
( ~ f2($false)
| spl20_13
| ~ spl20_56 ),
inference(forward_demodulation,[],[f148,f530]) ).
tff(f892,plain,
( spl20_49
| ~ spl20_18
| spl20_20
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f886,f281,f177,f168,f458]) ).
tff(f886,plain,
( f2($false)
| ~ spl20_18
| spl20_20
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f885]) ).
tff(f885,plain,
( ( $true != $true )
| f2($false)
| ~ spl20_18
| spl20_20
| ~ spl20_43 ),
inference(forward_demodulation,[],[f549,f170]) ).
tff(f549,plain,
( f2($false)
| ( $true != bG14 )
| spl20_20
| ~ spl20_43 ),
inference(forward_demodulation,[],[f59,f333]) ).
tff(f333,plain,
( ( $false = bG13 )
| spl20_20
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f312]) ).
tff(f312,plain,
( ( $true != $true )
| ( $false = bG13 )
| spl20_20
| ~ spl20_43 ),
inference(superposition,[],[f178,f282]) ).
tff(f178,plain,
( ( $true != bG13 )
| spl20_20 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f880,plain,
( ~ spl20_49
| spl20_33
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f851,f827,f236,f458]) ).
tff(f851,plain,
( ~ f2($false)
| spl20_33
| ~ spl20_73 ),
inference(superposition,[],[f238,f829]) ).
tff(f873,plain,
( spl20_78
| ~ spl20_43
| spl20_51 ),
inference(avatar_split_clause,[],[f715,f490,f281,f871]) ).
tff(f869,plain,
( spl20_77
| ~ spl20_43
| spl20_62 ),
inference(avatar_split_clause,[],[f596,f588,f281,f867]) ).
tff(f596,plain,
( ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| spl20_62 ),
inference(superposition,[],[f589,f282]) ).
tff(f589,plain,
( ~ f4($true)
| spl20_62 ),
inference(avatar_component_clause,[],[f588]) ).
tff(f865,plain,
( spl20_76
| ~ spl20_43
| spl20_52 ),
inference(avatar_split_clause,[],[f502,f496,f281,f863]) ).
tff(f502,plain,
( ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| spl20_52 ),
inference(superposition,[],[f497,f282]) ).
tff(f497,plain,
( ~ f2($true)
| spl20_52 ),
inference(avatar_component_clause,[],[f496]) ).
tff(f860,plain,
( spl20_75
| ~ spl20_43
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f494,f490,f281,f858]) ).
tff(f494,plain,
( ! [X0: $o] :
( f3((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| ~ spl20_51 ),
inference(superposition,[],[f492,f282]) ).
tff(f856,plain,
( spl20_74
| ~ spl20_43
| ~ spl20_48 ),
inference(avatar_split_clause,[],[f435,f396,f281,f854]) ).
tff(f435,plain,
( ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| ~ spl20_48 ),
inference(superposition,[],[f398,f282]) ).
tff(f398,plain,
( f1($true)
| ~ spl20_48 ),
inference(avatar_component_clause,[],[f396]) ).
tff(f834,plain,
( ~ spl20_42
| spl20_62
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f811,f114,f588,f276]) ).
tff(f811,plain,
( f4($true)
| ( $true != bG1 )
| ~ spl20_6 ),
inference(forward_demodulation,[],[f85,f115]) ).
tff(f833,plain,
( ~ spl20_40
| spl20_50
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f696,f638,f479,f267]) ).
tff(f696,plain,
( f3($false)
| ( $true != bG2 )
| ~ spl20_70 ),
inference(forward_demodulation,[],[f83,f640]) ).
tff(f83,plain,
( f3(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
( ( f3(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f3(bG1) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f832,plain,
( ~ spl20_36
| spl20_50
| spl20_38
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f464,f281,f258,f479,f249]) ).
tff(f464,plain,
( f3($false)
| ( $true != bG4 )
| spl20_38
| ~ spl20_43 ),
inference(forward_demodulation,[],[f79,f343]) ).
tff(f343,plain,
( ( $false = bG3 )
| spl20_38
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f292]) ).
tff(f831,plain,
( ~ spl20_40
| spl20_39 ),
inference(avatar_split_clause,[],[f83,f263,f267]) ).
tff(f830,plain,
( spl20_73
| spl20_36
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f342,f281,f249,f827]) ).
tff(f342,plain,
( ( $false = bG4 )
| spl20_36
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f294]) ).
tff(f294,plain,
( ( $true != $true )
| ( $false = bG4 )
| spl20_36
| ~ spl20_43 ),
inference(superposition,[],[f250,f282]) ).
tff(f250,plain,
( ( $true != bG4 )
| spl20_36 ),
inference(avatar_component_clause,[],[f249]) ).
tff(f825,plain,
( ~ spl20_38
| spl20_37 ),
inference(avatar_split_clause,[],[f81,f254,f258]) ).
tff(f81,plain,
( f3(bG2)
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
( ( f3(bG2)
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ f3(bG2) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f824,plain,
( ~ spl20_36
| spl20_35 ),
inference(avatar_split_clause,[],[f79,f245,f249]) ).
tff(f805,plain,
( ~ spl20_62
| ~ spl20_5
| spl20_25
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f801,f281,f200,f109,f588]) ).
tff(f801,plain,
( ~ f4($true)
| ~ spl20_5
| spl20_25
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f800]) ).
tff(f800,plain,
( ( $true = $false )
| ~ f4($true)
| ~ spl20_5
| spl20_25
| ~ spl20_43 ),
inference(forward_demodulation,[],[f796,f111]) ).
tff(f796,plain,
( ~ f4($true)
| ( $false = bG9 )
| spl20_25
| ~ spl20_43 ),
inference(superposition,[],[f202,f282]) ).
tff(f202,plain,
( ~ f4(bG9)
| spl20_25 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f804,plain,
( ~ spl20_26
| spl20_25 ),
inference(avatar_split_clause,[],[f67,f200,f204]) ).
tff(f67,plain,
( f4(bG9)
| ( $true != bG10 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
( ( f4(bG9)
| ( $true != bG10 ) )
& ( ( $true = bG10 )
| ~ f4(bG9) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f799,plain,
( spl20_62
| ~ spl20_6
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f798,f272,f114,f588]) ).
tff(f798,plain,
( f4($true)
| ~ spl20_6
| ~ spl20_41 ),
inference(forward_demodulation,[],[f273,f115]) ).
tff(f273,plain,
( f4(bG0)
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f797,plain,
( spl20_41
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f795,f276,f272]) ).
tff(f795,plain,
( f4(bG0)
| ~ spl20_42 ),
inference(trivial_inequality_removal,[],[f794]) ).
tff(f794,plain,
( ( $true != $true )
| f4(bG0)
| ~ spl20_42 ),
inference(forward_demodulation,[],[f85,f278]) ).
tff(f791,plain,
( spl20_61
| ~ spl20_42
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f778,f643,f276,f578]) ).
tff(f781,plain,
( ~ spl20_4
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f776,f643,f105]) ).
tff(f774,plain,
( spl20_61
| ~ spl20_26
| ~ spl20_64 ),
inference(avatar_split_clause,[],[f773,f603,f204,f578]) ).
tff(f603,plain,
( spl20_64
<=> ( $false = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
tff(f773,plain,
( f4($false)
| ~ spl20_26
| ~ spl20_64 ),
inference(trivial_inequality_removal,[],[f772]) ).
tff(f772,plain,
( ( $true != $true )
| f4($false)
| ~ spl20_26
| ~ spl20_64 ),
inference(forward_demodulation,[],[f770,f206]) ).
tff(f770,plain,
( f4($false)
| ( $true != bG10 )
| ~ spl20_64 ),
inference(forward_demodulation,[],[f67,f605]) ).
tff(f605,plain,
( ( $false = bG9 )
| ~ spl20_64 ),
inference(avatar_component_clause,[],[f603]) ).
tff(f771,plain,
( ~ spl20_61
| spl20_21
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f745,f571,f182,f578]) ).
tff(f745,plain,
( ~ f4($false)
| spl20_21
| ~ spl20_60 ),
inference(forward_demodulation,[],[f184,f573]) ).
tff(f184,plain,
( ~ f4(bG11)
| spl20_21 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f765,plain,
( ~ spl20_26
| ~ spl20_63 ),
inference(avatar_contradiction_clause,[],[f764]) ).
tff(f764,plain,
( $false
| ~ spl20_26
| ~ spl20_63 ),
inference(trivial_inequality_removal,[],[f763]) ).
tff(f763,plain,
( ( $true = $false )
| ~ spl20_26
| ~ spl20_63 ),
inference(forward_demodulation,[],[f206,f600]) ).
tff(f762,plain,
( ~ spl20_61
| spl20_25
| ~ spl20_64 ),
inference(avatar_split_clause,[],[f679,f603,f200,f578]) ).
tff(f679,plain,
( ~ f4($false)
| spl20_25
| ~ spl20_64 ),
inference(superposition,[],[f202,f605]) ).
tff(f758,plain,
( ~ spl20_52
| spl20_15
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f550,f168,f155,f496]) ).
tff(f550,plain,
( ~ f2($true)
| spl20_15
| ~ spl20_18 ),
inference(superposition,[],[f157,f170]) ).
tff(f756,plain,
( spl20_39
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f755,f267,f263]) ).
tff(f755,plain,
( f3(bG1)
| ~ spl20_40 ),
inference(trivial_inequality_removal,[],[f754]) ).
tff(f754,plain,
( ( $true != $true )
| f3(bG1)
| ~ spl20_40 ),
inference(forward_demodulation,[],[f83,f269]) ).
tff(f752,plain,
( ~ spl20_40
| spl20_50
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f696,f638,f479,f267]) ).
tff(f749,plain,
( spl20_37
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f739,f258,f254]) ).
tff(f739,plain,
( f3(bG2)
| ~ spl20_38 ),
inference(trivial_inequality_removal,[],[f738]) ).
tff(f738,plain,
( ( $true != $true )
| f3(bG2)
| ~ spl20_38 ),
inference(forward_demodulation,[],[f81,f260]) ).
tff(f732,plain,
( ~ spl20_20
| ~ spl20_58 ),
inference(avatar_contradiction_clause,[],[f731]) ).
tff(f731,plain,
( $false
| ~ spl20_20
| ~ spl20_58 ),
inference(trivial_inequality_removal,[],[f730]) ).
tff(f730,plain,
( ( $true = $false )
| ~ spl20_20
| ~ spl20_58 ),
inference(forward_demodulation,[],[f179,f554]) ).
tff(f728,plain,
( ~ spl20_34
| ~ spl20_68 ),
inference(avatar_contradiction_clause,[],[f727]) ).
tff(f727,plain,
( $false
| ~ spl20_34
| ~ spl20_68 ),
inference(trivial_inequality_removal,[],[f726]) ).
tff(f726,plain,
( ( $true = $false )
| ~ spl20_34
| ~ spl20_68 ),
inference(forward_demodulation,[],[f242,f630]) ).
tff(f720,plain,
( spl20_72
| spl20_38
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f343,f281,f258,f717]) ).
tff(f711,plain,
( ~ spl20_51
| spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f689,f186,f173,f490]) ).
tff(f689,plain,
( ~ f3($true)
| spl20_19
| ~ spl20_22 ),
inference(superposition,[],[f175,f188]) ).
tff(f709,plain,
( ~ spl20_22
| spl20_21 ),
inference(avatar_split_clause,[],[f63,f182,f186]) ).
tff(f63,plain,
( f4(bG11)
| ( $true != bG12 ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
( ( f4(bG11)
| ( $true != bG12 ) )
& ( ( $true = bG12 )
| ~ f4(bG11) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f707,plain,
( spl20_50
| ~ spl20_38
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f695,f633,f258,f479]) ).
tff(f695,plain,
( f3($false)
| ~ spl20_38
| ~ spl20_69 ),
inference(trivial_inequality_removal,[],[f694]) ).
tff(f694,plain,
( ( $true != $true )
| f3($false)
| ~ spl20_38
| ~ spl20_69 ),
inference(forward_demodulation,[],[f693,f260]) ).
tff(f693,plain,
( f3($false)
| ( $true != bG3 )
| ~ spl20_69 ),
inference(forward_demodulation,[],[f81,f635]) ).
tff(f699,plain,
( ~ spl20_40
| ~ spl20_69 ),
inference(avatar_contradiction_clause,[],[f698]) ).
tff(f698,plain,
( $false
| ~ spl20_40
| ~ spl20_69 ),
inference(trivial_inequality_removal,[],[f697]) ).
tff(f697,plain,
( ( $true = $false )
| ~ spl20_40
| ~ spl20_69 ),
inference(forward_demodulation,[],[f269,f635]) ).
tff(f690,plain,
( ~ spl20_22
| spl20_62
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f688,f195,f588,f186]) ).
tff(f688,plain,
( f4($true)
| ( $true != bG12 )
| ~ spl20_24 ),
inference(forward_demodulation,[],[f63,f197]) ).
tff(f686,plain,
( ~ spl20_50
| spl20_19
| ~ spl20_59 ),
inference(avatar_split_clause,[],[f671,f566,f173,f479]) ).
tff(f671,plain,
( ~ f3($false)
| spl20_19
| ~ spl20_59 ),
inference(superposition,[],[f175,f568]) ).
tff(f649,plain,
( ~ spl20_5
| ~ spl20_64 ),
inference(avatar_contradiction_clause,[],[f648]) ).
tff(f648,plain,
( $false
| ~ spl20_5
| ~ spl20_64 ),
inference(trivial_inequality_removal,[],[f647]) ).
tff(f647,plain,
( ( $true = $false )
| ~ spl20_5
| ~ spl20_64 ),
inference(forward_demodulation,[],[f111,f605]) ).
tff(f646,plain,
( spl20_71
| spl20_6
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f346,f281,f114,f643]) ).
tff(f346,plain,
( ( $false = bG0 )
| spl20_6
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f287]) ).
tff(f287,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl20_6
| ~ spl20_43 ),
inference(superposition,[],[f116,f282]) ).
tff(f116,plain,
( ( $true != bG0 )
| spl20_6 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f641,plain,
( spl20_70
| spl20_42
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f345,f281,f276,f638]) ).
tff(f345,plain,
( ( $false = bG1 )
| spl20_42
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f288]) ).
tff(f636,plain,
( spl20_69
| spl20_40
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f344,f281,f267,f633]) ).
tff(f344,plain,
( ( $false = bG2 )
| spl20_40
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f290]) ).
tff(f290,plain,
( ( $true != $true )
| ( $false = bG2 )
| spl20_40
| ~ spl20_43 ),
inference(superposition,[],[f268,f282]) ).
tff(f268,plain,
( ( $true != bG2 )
| spl20_40 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f631,plain,
( spl20_68
| spl20_34
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f341,f281,f240,f628]) ).
tff(f626,plain,
( spl20_67
| spl20_32
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f340,f281,f231,f623]) ).
tff(f340,plain,
( ( $false = bG6 )
| spl20_32
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f298]) ).
tff(f298,plain,
( ( $true != $true )
| ( $false = bG6 )
| spl20_32
| ~ spl20_43 ),
inference(superposition,[],[f232,f282]) ).
tff(f232,plain,
( ( $true != bG6 )
| spl20_32 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f621,plain,
( spl20_66
| spl20_30
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f339,f281,f222,f618]) ).
tff(f339,plain,
( ( $false = bG7 )
| spl20_30
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f300]) ).
tff(f300,plain,
( ( $true != $true )
| ( $false = bG7 )
| spl20_30
| ~ spl20_43 ),
inference(superposition,[],[f223,f282]) ).
tff(f223,plain,
( ( $true != bG7 )
| spl20_30 ),
inference(avatar_component_clause,[],[f222]) ).
tff(f616,plain,
( spl20_65
| spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f338,f281,f213,f613]) ).
tff(f609,plain,
( ~ spl20_5
| spl20_4 ),
inference(avatar_split_clause,[],[f69,f105,f109]) ).
tff(f69,plain,
( x
| ( $true != bG9 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
( ( x
| ( $true != bG9 ) )
& ( ( $true = bG9 )
| ~ x ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f606,plain,
( spl20_64
| spl20_5
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f337,f281,f109,f603]) ).
tff(f337,plain,
( ( $false = bG9 )
| spl20_5
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f305]) ).
tff(f305,plain,
( ( $true != $true )
| ( $false = bG9 )
| spl20_5
| ~ spl20_43 ),
inference(superposition,[],[f110,f282]) ).
tff(f110,plain,
( ( $true != bG9 )
| spl20_5 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f601,plain,
( spl20_63
| spl20_26
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f336,f281,f204,f598]) ).
tff(f336,plain,
( ( $false = bG10 )
| spl20_26
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f306]) ).
tff(f306,plain,
( ( $true != $true )
| ( $false = bG10 )
| spl20_26
| ~ spl20_43 ),
inference(superposition,[],[f205,f282]) ).
tff(f205,plain,
( ( $true != bG10 )
| spl20_26 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f595,plain,
( ~ spl20_62
| spl20_21
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f576,f195,f182,f588]) ).
tff(f576,plain,
( ~ f4($true)
| spl20_21
| ~ spl20_24 ),
inference(superposition,[],[f184,f197]) ).
tff(f591,plain,
( spl20_62
| ~ spl20_23
| ~ spl20_26 ),
inference(avatar_split_clause,[],[f586,f204,f191,f588]) ).
tff(f586,plain,
( f4($true)
| ~ spl20_23
| ~ spl20_26 ),
inference(forward_demodulation,[],[f192,f206]) ).
tff(f192,plain,
( f4(bG10)
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f585,plain,
( spl20_23
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f583,f195,f191]) ).
tff(f583,plain,
( f4(bG10)
| ~ spl20_24 ),
inference(trivial_inequality_removal,[],[f582]) ).
tff(f582,plain,
( ( $true != $true )
| f4(bG10)
| ~ spl20_24 ),
inference(forward_demodulation,[],[f65,f197]) ).
tff(f65,plain,
( f4(bG10)
| ( $true != bG11 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ( f4(bG10)
| ( $true != bG11 ) )
& ( ( $true = bG11 )
| ~ f4(bG10) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f581,plain,
( ~ spl20_24
| spl20_61
| spl20_26
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f575,f281,f204,f578,f195]) ).
tff(f575,plain,
( f4($false)
| ( $true != bG11 )
| spl20_26
| ~ spl20_43 ),
inference(forward_demodulation,[],[f65,f336]) ).
tff(f574,plain,
( spl20_60
| spl20_24
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f335,f281,f195,f571]) ).
tff(f335,plain,
( ( $false = bG11 )
| spl20_24
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f308]) ).
tff(f308,plain,
( ( $true != $true )
| ( $false = bG11 )
| spl20_24
| ~ spl20_43 ),
inference(superposition,[],[f196,f282]) ).
tff(f196,plain,
( ( $true != bG11 )
| spl20_24 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f569,plain,
( spl20_59
| spl20_22
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f334,f281,f186,f566]) ).
tff(f561,plain,
( spl20_52
| ~ spl20_17
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f560,f177,f164,f496]) ).
tff(f560,plain,
( f2($true)
| ~ spl20_17
| ~ spl20_20 ),
inference(forward_demodulation,[],[f165,f179]) ).
tff(f165,plain,
( f2(bG13)
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f559,plain,
( spl20_17
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f557,f168,f164]) ).
tff(f557,plain,
( f2(bG13)
| ~ spl20_18 ),
inference(trivial_inequality_removal,[],[f556]) ).
tff(f556,plain,
( ( $true != $true )
| f2(bG13)
| ~ spl20_18 ),
inference(forward_demodulation,[],[f59,f170]) ).
tff(f555,plain,
( spl20_58
| spl20_20
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f333,f281,f177,f552]) ).
tff(f547,plain,
( spl20_57
| spl20_18
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f332,f281,f168,f544]) ).
tff(f539,plain,
( spl20_52
| ~ spl20_13
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f536,f159,f146,f496]) ).
tff(f536,plain,
( f2($true)
| ~ spl20_13
| ~ spl20_16 ),
inference(forward_demodulation,[],[f147,f161]) ).
tff(f147,plain,
( f2(bG15)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f535,plain,
( spl20_13
| ~ spl20_14 ),
inference(avatar_split_clause,[],[f533,f150,f146]) ).
tff(f533,plain,
( f2(bG15)
| ~ spl20_14 ),
inference(trivial_inequality_removal,[],[f532]) ).
tff(f532,plain,
( ( $true != $true )
| f2(bG15)
| ~ spl20_14 ),
inference(forward_demodulation,[],[f55,f152]) ).
tff(f531,plain,
( spl20_56
| spl20_16
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f331,f281,f159,f528]) ).
tff(f526,plain,
( ~ spl20_14
| spl20_49
| spl20_16
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f523,f281,f159,f458,f150]) ).
tff(f524,plain,
( spl20_11
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f522,f141,f137]) ).
tff(f522,plain,
( f1(bG16)
| ~ spl20_12 ),
inference(trivial_inequality_removal,[],[f521]) ).
tff(f520,plain,
( ~ spl20_12
| spl20_47
| spl20_14
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f518,f281,f150,f385,f141]) ).
tff(f518,plain,
( f1($false)
| ( $true != bG17 )
| spl20_14
| ~ spl20_43 ),
inference(forward_demodulation,[],[f53,f330]) ).
tff(f330,plain,
( ( $false = bG16 )
| spl20_14
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f318]) ).
tff(f516,plain,
( spl20_55
| spl20_12
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f329,f281,f141,f513]) ).
tff(f329,plain,
( ( $false = bG17 )
| spl20_12
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f320]) ).
tff(f320,plain,
( ( $true != $true )
| ( $false = bG17 )
| spl20_12
| ~ spl20_43 ),
inference(superposition,[],[f142,f282]) ).
tff(f142,plain,
( ( $true != bG17 )
| spl20_12 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f511,plain,
( spl20_54
| spl20_10
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f328,f281,f132,f508]) ).
tff(f328,plain,
( ( $false = bG18 )
| spl20_10
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f322]) ).
tff(f322,plain,
( ( $true != $true )
| ( $false = bG18 )
| spl20_10
| ~ spl20_43 ),
inference(superposition,[],[f133,f282]) ).
tff(f133,plain,
( ( $true != bG18 )
| spl20_10 ),
inference(avatar_component_clause,[],[f132]) ).
tff(f506,plain,
( spl20_53
| ~ spl20_43
| spl20_45 ),
inference(avatar_split_clause,[],[f392,f354,f281,f504]) ).
tff(f392,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) )
| ~ spl20_43
| spl20_45 ),
inference(superposition,[],[f355,f282]) ).
tff(f355,plain,
( ~ f0($true)
| spl20_45 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f501,plain,
( ~ spl20_52
| spl20_33
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f475,f249,f236,f496]) ).
tff(f475,plain,
( ~ f2($true)
| spl20_33
| ~ spl20_36 ),
inference(superposition,[],[f238,f251]) ).
tff(f500,plain,
( ~ spl20_38
| spl20_50
| spl20_40
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f485,f281,f267,f479,f258]) ).
tff(f485,plain,
( f3($false)
| ( $true != bG3 )
| spl20_40
| ~ spl20_43 ),
inference(forward_demodulation,[],[f81,f344]) ).
tff(f499,plain,
( ~ spl20_34
| spl20_52
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f469,f249,f496,f240]) ).
tff(f469,plain,
( f2($true)
| ( $true != bG5 )
| ~ spl20_36 ),
inference(forward_demodulation,[],[f77,f251]) ).
tff(f77,plain,
( f2(bG4)
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
( ( f2(bG4)
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ f2(bG4) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f493,plain,
( spl20_51
| ~ spl20_35
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f488,f258,f245,f490]) ).
tff(f488,plain,
( f3($true)
| ~ spl20_35
| ~ spl20_38 ),
inference(forward_demodulation,[],[f246,f260]) ).
tff(f246,plain,
( f3(bG3)
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f487,plain,
( spl20_35
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f484,f249,f245]) ).
tff(f484,plain,
( f3(bG3)
| ~ spl20_36 ),
inference(trivial_inequality_removal,[],[f483]) ).
tff(f482,plain,
( ~ spl20_36
| spl20_50
| spl20_38
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f464,f281,f258,f479,f249]) ).
tff(f477,plain,
( ~ spl20_32
| spl20_47
| spl20_34
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f431,f281,f240,f385,f231]) ).
tff(f476,plain,
( ~ spl20_32
| spl20_31 ),
inference(avatar_split_clause,[],[f75,f227,f231]) ).
tff(f465,plain,
( spl20_33
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f463,f240,f236]) ).
tff(f463,plain,
( f2(bG4)
| ~ spl20_34 ),
inference(trivial_inequality_removal,[],[f462]) ).
tff(f462,plain,
( ( $true != $true )
| f2(bG4)
| ~ spl20_34 ),
inference(forward_demodulation,[],[f77,f242]) ).
tff(f461,plain,
( ~ spl20_34
| spl20_49
| spl20_36
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f449,f281,f249,f458,f240]) ).
tff(f449,plain,
( f2($false)
| ( $true != bG5 )
| spl20_36
| ~ spl20_43 ),
inference(forward_demodulation,[],[f77,f342]) ).
tff(f452,plain,
( ~ spl20_45
| spl20_2
| ~ spl20_8
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f425,f281,f123,f95,f354]) ).
tff(f425,plain,
( ~ f0($true)
| spl20_2
| ~ spl20_8
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f424]) ).
tff(f424,plain,
( ( $true = $false )
| ~ f0($true)
| spl20_2
| ~ spl20_8
| ~ spl20_43 ),
inference(forward_demodulation,[],[f420,f125]) ).
tff(f420,plain,
( ~ f0($true)
| ( $false = bG19 )
| spl20_2
| ~ spl20_43 ),
inference(superposition,[],[f96,f282]) ).
tff(f96,plain,
( ~ f0(bG19)
| spl20_2 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f450,plain,
( spl20_31
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f448,f231,f227]) ).
tff(f448,plain,
( f1(bG5)
| ~ spl20_32 ),
inference(trivial_inequality_removal,[],[f447]) ).
tff(f447,plain,
( ( $true != $true )
| f1(bG5)
| ~ spl20_32 ),
inference(forward_demodulation,[],[f75,f233]) ).
tff(f446,plain,
( ~ spl20_32
| spl20_47
| spl20_34
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f431,f281,f240,f385,f231]) ).
tff(f436,plain,
( ~ spl20_48
| spl20_27
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f405,f222,f209,f396]) ).
tff(f405,plain,
( ~ f1($true)
| spl20_27
| ~ spl20_30 ),
inference(forward_demodulation,[],[f211,f224]) ).
tff(f434,plain,
( spl20_48
| ~ spl20_29
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f433,f231,f218,f396]) ).
tff(f433,plain,
( f1($true)
| ~ spl20_29
| ~ spl20_32 ),
inference(forward_demodulation,[],[f219,f233]) ).
tff(f219,plain,
( f1(bG6)
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f432,plain,
( spl20_29
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f430,f222,f218]) ).
tff(f430,plain,
( f1(bG6)
| ~ spl20_30 ),
inference(trivial_inequality_removal,[],[f429]) ).
tff(f429,plain,
( ( $true != $true )
| f1(bG6)
| ~ spl20_30 ),
inference(forward_demodulation,[],[f73,f224]) ).
tff(f428,plain,
( ~ spl20_30
| spl20_47
| spl20_32
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f391,f281,f231,f385,f222]) ).
tff(f391,plain,
( f1($false)
| ( $true != bG7 )
| spl20_32
| ~ spl20_43 ),
inference(forward_demodulation,[],[f73,f340]) ).
tff(f423,plain,
( spl20_45
| ~ spl20_8
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f417,f132,f123,f354]) ).
tff(f417,plain,
( f0($true)
| ~ spl20_8
| ~ spl20_10 ),
inference(forward_demodulation,[],[f375,f134]) ).
tff(f375,plain,
( f0(bG18)
| ~ spl20_8 ),
inference(trivial_inequality_removal,[],[f374]) ).
tff(f374,plain,
( ( $true != $true )
| f0(bG18)
| ~ spl20_8 ),
inference(forward_demodulation,[],[f49,f125]) ).
tff(f49,plain,
( f0(bG18)
| ( $true != bG19 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ( f0(bG18)
| ( $true != bG19 ) )
& ( ( $true = bG19 )
| ~ f0(bG18) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f422,plain,
( spl20_46
| ~ spl20_10
| spl20_12
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f410,f281,f141,f132,f363]) ).
tff(f410,plain,
( f0($false)
| ~ spl20_10
| spl20_12
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f409]) ).
tff(f409,plain,
( ( $true != $true )
| f0($false)
| ~ spl20_10
| spl20_12
| ~ spl20_43 ),
inference(forward_demodulation,[],[f376,f134]) ).
tff(f376,plain,
( f0($false)
| ( $true != bG18 )
| spl20_12
| ~ spl20_43 ),
inference(forward_demodulation,[],[f51,f329]) ).
tff(f415,plain,
( ~ spl20_46
| spl20_28
| ~ spl20_43
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f412,f348,f281,f213,f363]) ).
tff(f412,plain,
( ~ f0($false)
| spl20_28
| ~ spl20_43
| ~ spl20_44 ),
inference(duplicate_literal_removal,[],[f411]) ).
tff(f411,plain,
( ~ f0($false)
| ~ f0($false)
| spl20_28
| ~ spl20_43
| ~ spl20_44 ),
inference(forward_demodulation,[],[f402,f338]) ).
tff(f408,plain,
( spl20_46
| ~ spl20_2
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f406,f348,f95,f363]) ).
tff(f406,plain,
( f0($false)
| ~ spl20_2
| ~ spl20_44 ),
inference(forward_demodulation,[],[f97,f350]) ).
tff(f97,plain,
( f0(bG19)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f399,plain,
( spl20_48
| ~ spl20_27
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f394,f222,f209,f396]) ).
tff(f394,plain,
( f1($true)
| ~ spl20_27
| ~ spl20_30 ),
inference(forward_demodulation,[],[f210,f224]) ).
tff(f210,plain,
( f1(bG7)
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f393,plain,
( spl20_27
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f390,f213,f209]) ).
tff(f390,plain,
( f1(bG7)
| ~ spl20_28 ),
inference(trivial_inequality_removal,[],[f389]) ).
tff(f389,plain,
( ( $true != $true )
| f1(bG7)
| ~ spl20_28 ),
inference(forward_demodulation,[],[f71,f215]) ).
tff(f71,plain,
( f1(bG7)
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( ( f1(bG7)
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ f1(bG7) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f388,plain,
( ~ spl20_28
| spl20_47
| spl20_30
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f369,f281,f222,f385,f213]) ).
tff(f369,plain,
( f1($false)
| ( $true != bG8 )
| spl20_30
| ~ spl20_43 ),
inference(forward_demodulation,[],[f71,f339]) ).
tff(f377,plain,
( spl20_7
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f375,f123,f119]) ).
tff(f373,plain,
( spl20_46
| ~ spl20_8
| spl20_10
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f368,f281,f132,f123,f363]) ).
tff(f368,plain,
( f0($false)
| ~ spl20_8
| spl20_10
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f367]) ).
tff(f367,plain,
( ( $true != $true )
| f0($false)
| ~ spl20_8
| spl20_10
| ~ spl20_43 ),
inference(forward_demodulation,[],[f352,f125]) ).
tff(f352,plain,
( f0($false)
| ( $true != bG19 )
| spl20_10
| ~ spl20_43 ),
inference(forward_demodulation,[],[f49,f328]) ).
tff(f366,plain,
( spl20_46
| ~ spl20_1
| spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f361,f281,f213,f91,f363]) ).
tff(f361,plain,
( f0($false)
| ~ spl20_1
| spl20_28
| ~ spl20_43 ),
inference(forward_demodulation,[],[f93,f338]) ).
tff(f357,plain,
( spl20_44
| spl20_45
| ~ spl20_2
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f325,f281,f95,f354,f348]) ).
tff(f325,plain,
( f0($true)
| ( $false = bG19 )
| ~ spl20_2
| ~ spl20_43 ),
inference(superposition,[],[f97,f282]) ).
tff(f351,plain,
( spl20_44
| spl20_8
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f327,f281,f123,f348]) ).
tff(f327,plain,
( ( $false = bG19 )
| spl20_8
| ~ spl20_43 ),
inference(trivial_inequality_removal,[],[f324]) ).
tff(f324,plain,
( ( $true != $true )
| ( $false = bG19 )
| spl20_8
| ~ spl20_43 ),
inference(superposition,[],[f124,f282]) ).
tff(f124,plain,
( ( $true != bG19 )
| spl20_8 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f283,plain,
spl20_43,
inference(avatar_split_clause,[],[f4,f281]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f279,plain,
( ~ spl20_41
| spl20_42 ),
inference(avatar_split_clause,[],[f84,f276,f272]) ).
tff(f84,plain,
( ( $true = bG1 )
| ~ f4(bG0) ),
inference(cnf_transformation,[],[f45]) ).
tff(f270,plain,
( ~ spl20_39
| spl20_40 ),
inference(avatar_split_clause,[],[f82,f267,f263]) ).
tff(f82,plain,
( ( $true = bG2 )
| ~ f3(bG1) ),
inference(cnf_transformation,[],[f44]) ).
tff(f261,plain,
( ~ spl20_37
| spl20_38 ),
inference(avatar_split_clause,[],[f80,f258,f254]) ).
tff(f80,plain,
( ( $true = bG3 )
| ~ f3(bG2) ),
inference(cnf_transformation,[],[f43]) ).
tff(f252,plain,
( ~ spl20_35
| spl20_36 ),
inference(avatar_split_clause,[],[f78,f249,f245]) ).
tff(f78,plain,
( ( $true = bG4 )
| ~ f3(bG3) ),
inference(cnf_transformation,[],[f42]) ).
tff(f243,plain,
( ~ spl20_33
| spl20_34 ),
inference(avatar_split_clause,[],[f76,f240,f236]) ).
tff(f76,plain,
( ( $true = bG5 )
| ~ f2(bG4) ),
inference(cnf_transformation,[],[f41]) ).
tff(f234,plain,
( ~ spl20_31
| spl20_32 ),
inference(avatar_split_clause,[],[f74,f231,f227]) ).
tff(f74,plain,
( ( $true = bG6 )
| ~ f1(bG5) ),
inference(cnf_transformation,[],[f40]) ).
tff(f225,plain,
( ~ spl20_29
| spl20_30 ),
inference(avatar_split_clause,[],[f72,f222,f218]) ).
tff(f72,plain,
( ( $true = bG7 )
| ~ f1(bG6) ),
inference(cnf_transformation,[],[f39]) ).
tff(f216,plain,
( ~ spl20_27
| spl20_28 ),
inference(avatar_split_clause,[],[f70,f213,f209]) ).
tff(f70,plain,
( ( $true = bG8 )
| ~ f1(bG7) ),
inference(cnf_transformation,[],[f38]) ).
tff(f207,plain,
( ~ spl20_25
| spl20_26 ),
inference(avatar_split_clause,[],[f66,f204,f200]) ).
tff(f66,plain,
( ( $true = bG10 )
| ~ f4(bG9) ),
inference(cnf_transformation,[],[f36]) ).
tff(f198,plain,
( ~ spl20_23
| spl20_24 ),
inference(avatar_split_clause,[],[f64,f195,f191]) ).
tff(f64,plain,
( ( $true = bG11 )
| ~ f4(bG10) ),
inference(cnf_transformation,[],[f35]) ).
tff(f189,plain,
( ~ spl20_21
| spl20_22 ),
inference(avatar_split_clause,[],[f62,f186,f182]) ).
tff(f62,plain,
( ( $true = bG12 )
| ~ f4(bG11) ),
inference(cnf_transformation,[],[f34]) ).
tff(f180,plain,
( ~ spl20_19
| spl20_20 ),
inference(avatar_split_clause,[],[f60,f177,f173]) ).
tff(f60,plain,
( ( $true = bG13 )
| ~ f3(bG12) ),
inference(cnf_transformation,[],[f33]) ).
tff(f171,plain,
( ~ spl20_17
| spl20_18 ),
inference(avatar_split_clause,[],[f58,f168,f164]) ).
tff(f58,plain,
( ( $true = bG14 )
| ~ f2(bG13) ),
inference(cnf_transformation,[],[f32]) ).
tff(f162,plain,
( ~ spl20_15
| spl20_16 ),
inference(avatar_split_clause,[],[f56,f159,f155]) ).
tff(f56,plain,
( ( $true = bG15 )
| ~ f2(bG14) ),
inference(cnf_transformation,[],[f31]) ).
tff(f153,plain,
( ~ spl20_13
| spl20_14 ),
inference(avatar_split_clause,[],[f54,f150,f146]) ).
tff(f54,plain,
( ( $true = bG16 )
| ~ f2(bG15) ),
inference(cnf_transformation,[],[f30]) ).
tff(f144,plain,
( ~ spl20_11
| spl20_12 ),
inference(avatar_split_clause,[],[f52,f141,f137]) ).
tff(f52,plain,
( ( $true = bG17 )
| ~ f1(bG16) ),
inference(cnf_transformation,[],[f29]) ).
tff(f135,plain,
( ~ spl20_9
| spl20_10 ),
inference(avatar_split_clause,[],[f50,f132,f128]) ).
tff(f50,plain,
( ( $true = bG18 )
| ~ f0(bG17) ),
inference(cnf_transformation,[],[f28]) ).
tff(f126,plain,
( ~ spl20_7
| spl20_8 ),
inference(avatar_split_clause,[],[f48,f123,f119]) ).
tff(f48,plain,
( ( $true = bG19 )
| ~ f0(bG18) ),
inference(cnf_transformation,[],[f27]) ).
tff(f117,plain,
( ~ spl20_6
| spl20_4 ),
inference(avatar_split_clause,[],[f87,f105,f114]) ).
tff(f87,plain,
( x
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f112,plain,
( ~ spl20_4
| spl20_5 ),
inference(avatar_split_clause,[],[f68,f109,f105]) ).
tff(f68,plain,
( ( $true = bG9 )
| ~ x ),
inference(cnf_transformation,[],[f37]) ).
tff(f103,plain,
~ spl20_3,
inference(avatar_split_clause,[],[f3,f100]) ).
tff(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f98,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f88,f95,f91]) ).
tff(f88,plain,
( f0(bG19)
| f0(bG8) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 10:48:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22366)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22373)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (22369)WARNING: value z3 for option sas not known
% 0.13/0.38 % (22367)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (22370)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (22368)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (22369)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (22371)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.39 Detected minimum model sizes of [1]
% 0.13/0.39 Detected maximum model sizes of [22]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 Detected minimum model sizes of [1]
% 0.13/0.39 Detected maximum model sizes of [44]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [5]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [6]
% 0.13/0.40 % (22372)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.40 TRYING [7]
% 0.22/0.40 TRYING [8]
% 0.22/0.40 TRYING [9]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [10]
% 0.22/0.41 TRYING [11]
% 0.22/0.41 TRYING [12]
% 0.22/0.41 TRYING [13]
% 0.22/0.42 TRYING [14]
% 0.22/0.42 TRYING [15]
% 0.22/0.43 TRYING [16]
% 0.22/0.43 TRYING [17]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 TRYING [18]
% 0.22/0.44 TRYING [19]
% 0.22/0.45 TRYING [20]
% 0.22/0.45 TRYING [21]
% 0.22/0.46 % (22371)First to succeed.
% 0.22/0.46 TRYING [22]
% 0.22/0.46 % (22370)Also succeeded, but the first one will report.
% 0.22/0.46 % (22371)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22366"
% 0.22/0.47 % (22371)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (22371)------------------------------
% 0.22/0.47 % (22371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (22371)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (22371)Memory used [KB]: 1339
% 0.22/0.47 % (22371)Time elapsed: 0.092 s
% 0.22/0.47 % (22371)Instructions burned: 89 (million)
% 0.22/0.47 % (22366)Success in time 0.101 s
%------------------------------------------------------------------------------