TSTP Solution File: SYO500_8.008 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500_8.008 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 12:27:42 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 195
% Syntax : Number of formulae : 1238 ( 6 unt; 40 typ; 0 def)
% Number of atoms : 5265 ( 668 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 4023 (1841 ~;1995 |; 33 &)
% ( 153 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1940 (1885 fml; 55 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of predicates : 164 ( 161 usr; 155 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 28 ( 28 !; 0 ?; 28 :)
% 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(func_def_22,type,
bG20: $o ).
tff(func_def_23,type,
bG21: $o ).
tff(func_def_24,type,
bG22: $o ).
tff(func_def_25,type,
bG23: $o ).
tff(func_def_26,type,
bG24: $o ).
tff(func_def_27,type,
bG25: $o ).
tff(func_def_28,type,
bG26: $o ).
tff(func_def_29,type,
bG27: $o ).
tff(func_def_30,type,
bG28: $o ).
tff(func_def_31,type,
bG29: $o ).
tff(func_def_32,type,
bG30: $o ).
tff(func_def_33,type,
bG31: $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(pred_def_7,type,
f5: $o > $o ).
tff(pred_def_8,type,
f6: $o > $o ).
tff(pred_def_9,type,
f7: $o > $o ).
tff(f6185,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f151,f160,f165,f174,f183,f192,f201,f210,f219,f228,f237,f246,f255,f264,f273,f282,f291,f300,f309,f318,f327,f336,f345,f354,f363,f372,f381,f390,f399,f408,f417,f426,f435,f439,f543,f550,f554,f559,f563,f576,f577,f587,f599,f604,f609,f616,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f700,f707,f712,f717,f720,f725,f731,f736,f741,f748,f753,f759,f764,f769,f774,f779,f784,f796,f873,f913,f914,f919,f1359,f1364,f1381,f1387,f1404,f1424,f1429,f1434,f1435,f1443,f1450,f1463,f1471,f1478,f1479,f1487,f1496,f1509,f1524,f1540,f1542,f1587,f1590,f1595,f1602,f1623,f1627,f1649,f1662,f1665,f1679,f1683,f1689,f1727,f1733,f1740,f1765,f1771,f1778,f1781,f1814,f1864,f1870,f1893,f1923,f1939,f1953,f1970,f1984,f1986,f2011,f2016,f2017,f2018,f2020,f2021,f2022,f2023,f2031,f2033,f2037,f2103,f2108,f2110,f2118,f2129,f2133,f2159,f2179,f2180,f2191,f2205,f2225,f2237,f2292,f2308,f2322,f2346,f2366,f2370,f2378,f2382,f2388,f2393,f2394,f2404,f2439,f2452,f2453,f2462,f2486,f2490,f2496,f2510,f2518,f2523,f2526,f2556,f2560,f2564,f2565,f2571,f2593,f2628,f2629,f2630,f2634,f2646,f2675,f2681,f2689,f2691,f2702,f2703,f2704,f2715,f2752,f2782,f2804,f2843,f2857,f2862,f2869,f2873,f2906,f2926,f2929,f2968,f2970,f2994,f2995,f3011,f3014,f3046,f3076,f3078,f3099,f3133,f3134,f3158,f3161,f3169,f3194,f3224,f3237,f3254,f3294,f3302,f3306,f3327,f3335,f3341,f3349,f3370,f3475,f3536,f3541,f3599,f3711,f3712,f3713,f3714,f3715,f3716,f3724,f3725,f3726,f3727,f3759,f3826,f3858,f3868,f3906,f3916,f3921,f3958,f3959,f3960,f3961,f3973,f4036,f4436,f4446,f4449,f4556,f4645,f4680,f4691,f4693,f4695,f4754,f4786,f4790,f4875,f4960,f5084,f5085,f5093,f5094,f5109,f5136,f5245,f5253,f5318,f5326,f5327,f5328,f5329,f5330,f5346,f5353,f5470,f5475,f5714,f5725,f5751,f5762,f5770,f5777,f5781,f5788,f5797,f5805,f5828,f5872,f5873,f5874,f5937,f5950,f5951,f5959,f6019,f6020,f6091,f6092,f6107,f6176,f6184]) ).
tff(f6184,plain,
( spl32_91
| ~ spl32_14
| spl32_16
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f6182,f437,f207,f198,f697]) ).
tff(f697,plain,
( spl32_91
<=> f2($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).
tff(f198,plain,
( spl32_14
<=> ( $true = bG28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
tff(f207,plain,
( spl32_16
<=> ( $true = bG27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
tff(f437,plain,
( spl32_67
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
tff(f6182,plain,
( f2($false)
| ~ spl32_14
| spl32_16
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f6181]) ).
tff(f6181,plain,
( ( $true != $true )
| f2($false)
| ~ spl32_14
| spl32_16
| ~ spl32_67 ),
inference(forward_demodulation,[],[f6066,f200]) ).
tff(f200,plain,
( ( $true = bG28 )
| ~ spl32_14 ),
inference(avatar_component_clause,[],[f198]) ).
tff(f6066,plain,
( f2($false)
| ( $true != bG28 )
| spl32_16
| ~ spl32_67 ),
inference(forward_demodulation,[],[f79,f5485]) ).
tff(f5485,plain,
( ( $false = bG27 )
| spl32_16
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f496]) ).
tff(f496,plain,
( ( $true != $true )
| ( $false = bG27 )
| spl32_16
| ~ spl32_67 ),
inference(superposition,[],[f208,f438]) ).
tff(f438,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl32_67 ),
inference(avatar_component_clause,[],[f437]) ).
tff(f208,plain,
( ( $true != bG27 )
| spl32_16 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f79,plain,
( f2(bG27)
| ( $true != bG28 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
( ( f2(bG27)
| ( $true != bG28 ) )
& ( ( $true = bG28 )
| ~ f2(bG27) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
( f2(bG27)
<=> ( $true = bG28 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG28])]) ).
tff(f6176,plain,
( spl32_91
| ~ spl32_13
| spl32_16
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f6079,f437,f207,f194,f697]) ).
tff(f194,plain,
( spl32_13
<=> f2(bG27) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
tff(f6079,plain,
( f2($false)
| ~ spl32_13
| spl32_16
| ~ spl32_67 ),
inference(forward_demodulation,[],[f195,f5485]) ).
tff(f195,plain,
( f2(bG27)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f194]) ).
tff(f6107,plain,
( ~ spl32_91
| spl32_43
| ~ spl32_67
| ~ spl32_92 ),
inference(avatar_split_clause,[],[f3820,f704,f437,f329,f697]) ).
tff(f329,plain,
( spl32_43
<=> f2(bG11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
tff(f704,plain,
( spl32_92
<=> ( $false = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).
tff(f3820,plain,
( ~ f2($false)
| spl32_43
| ~ spl32_67
| ~ spl32_92 ),
inference(forward_demodulation,[],[f331,f3638]) ).
tff(f3638,plain,
( ( $false = bG11 )
| ~ spl32_67
| ~ spl32_92 ),
inference(trivial_inequality_removal,[],[f2253]) ).
tff(f2253,plain,
( ( $true = $false )
| ( $false = bG11 )
| ~ spl32_67
| ~ spl32_92 ),
inference(superposition,[],[f706,f438]) ).
tff(f706,plain,
( ( $false = bG11 )
| ~ spl32_92 ),
inference(avatar_component_clause,[],[f704]) ).
tff(f331,plain,
( ~ f2(bG11)
| spl32_43 ),
inference(avatar_component_clause,[],[f329]) ).
tff(f6092,plain,
( spl32_95
| ~ spl32_45
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f5443,f351,f338,f722]) ).
tff(f722,plain,
( spl32_95
<=> f2($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).
tff(f338,plain,
( spl32_45
<=> f2(bG10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
tff(f351,plain,
( spl32_48
<=> ( $true = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
tff(f5443,plain,
( f2($true)
| ~ spl32_45
| ~ spl32_48 ),
inference(forward_demodulation,[],[f339,f353]) ).
tff(f353,plain,
( ( $true = bG10 )
| ~ spl32_48 ),
inference(avatar_component_clause,[],[f351]) ).
tff(f339,plain,
( f2(bG10)
| ~ spl32_45 ),
inference(avatar_component_clause,[],[f338]) ).
tff(f6091,plain,
( spl32_69
| ~ spl32_41
| ~ spl32_67
| ~ spl32_90 ),
inference(avatar_split_clause,[],[f3827,f690,f437,f320,f547]) ).
tff(f547,plain,
( spl32_69
<=> f1($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
tff(f320,plain,
( spl32_41
<=> f1(bG12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
tff(f690,plain,
( spl32_90
<=> ( $false = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).
tff(f3827,plain,
( f1($false)
| ~ spl32_41
| ~ spl32_67
| ~ spl32_90 ),
inference(forward_demodulation,[],[f321,f1833]) ).
tff(f1833,plain,
( ( $false = bG12 )
| ~ spl32_67
| ~ spl32_90 ),
inference(trivial_inequality_removal,[],[f860]) ).
tff(f860,plain,
( ( $true = $false )
| ( $false = bG12 )
| ~ spl32_67
| ~ spl32_90 ),
inference(superposition,[],[f692,f438]) ).
tff(f692,plain,
( ( $false = bG12 )
| ~ spl32_90 ),
inference(avatar_component_clause,[],[f690]) ).
tff(f321,plain,
( f1(bG12)
| ~ spl32_41 ),
inference(avatar_component_clause,[],[f320]) ).
tff(f6020,plain,
( spl32_91
| ~ spl32_47
| ~ spl32_67
| ~ spl32_94 ),
inference(avatar_split_clause,[],[f4547,f714,f437,f347,f697]) ).
tff(f347,plain,
( spl32_47
<=> f2(bG9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
tff(f714,plain,
( spl32_94
<=> ( $false = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
tff(f4547,plain,
( f2($false)
| ~ spl32_47
| ~ spl32_67
| ~ spl32_94 ),
inference(forward_demodulation,[],[f348,f2885]) ).
tff(f2885,plain,
( ( $false = bG9 )
| ~ spl32_67
| ~ spl32_94 ),
inference(trivial_inequality_removal,[],[f1644]) ).
tff(f1644,plain,
( ( $true = $false )
| ( $false = bG9 )
| ~ spl32_67
| ~ spl32_94 ),
inference(superposition,[],[f716,f438]) ).
tff(f716,plain,
( ( $false = bG9 )
| ~ spl32_94 ),
inference(avatar_component_clause,[],[f714]) ).
tff(f348,plain,
( f2(bG9)
| ~ spl32_47 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f6019,plain,
( ~ spl32_75
| spl32_15
| ~ spl32_76 ),
inference(avatar_split_clause,[],[f1633,f620,f203,f613]) ).
tff(f613,plain,
( spl32_75
<=> f3($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
tff(f203,plain,
( spl32_15
<=> f3(bG26) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
tff(f620,plain,
( spl32_76
<=> ( $false = bG26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).
tff(f1633,plain,
( ~ f3($false)
| spl32_15
| ~ spl32_76 ),
inference(forward_demodulation,[],[f205,f622]) ).
tff(f622,plain,
( ( $false = bG26 )
| ~ spl32_76 ),
inference(avatar_component_clause,[],[f620]) ).
tff(f205,plain,
( ~ f3(bG26)
| spl32_15 ),
inference(avatar_component_clause,[],[f203]) ).
tff(f5959,plain,
( ~ spl32_75
| spl32_19
| ~ spl32_67
| ~ spl32_78 ),
inference(avatar_split_clause,[],[f2776,f630,f437,f221,f613]) ).
tff(f221,plain,
( spl32_19
<=> f3(bG24) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
tff(f630,plain,
( spl32_78
<=> ( $false = bG24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).
tff(f2776,plain,
( ~ f3($false)
| spl32_19
| ~ spl32_67
| ~ spl32_78 ),
inference(forward_demodulation,[],[f223,f2758]) ).
tff(f2758,plain,
( ( $false = bG24 )
| ~ spl32_67
| ~ spl32_78 ),
inference(trivial_inequality_removal,[],[f2287]) ).
tff(f2287,plain,
( ( $true = $false )
| ( $false = bG24 )
| ~ spl32_67
| ~ spl32_78 ),
inference(superposition,[],[f632,f438]) ).
tff(f632,plain,
( ( $false = bG24 )
| ~ spl32_78 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f223,plain,
( ~ f3(bG24)
| spl32_19 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f5951,plain,
( spl32_109
| ~ spl32_18
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f4868,f225,f216,f1401]) ).
tff(f1401,plain,
( spl32_109
<=> f3($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).
tff(f216,plain,
( spl32_18
<=> ( $true = bG26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
tff(f225,plain,
( spl32_20
<=> ( $true = bG25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
tff(f4868,plain,
( f3($true)
| ~ spl32_18
| ~ spl32_20 ),
inference(forward_demodulation,[],[f4792,f227]) ).
tff(f227,plain,
( ( $true = bG25 )
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f4792,plain,
( f3(bG25)
| ~ spl32_18 ),
inference(trivial_inequality_removal,[],[f1681]) ).
tff(f1681,plain,
( ( $true != $true )
| f3(bG25)
| ~ spl32_18 ),
inference(forward_demodulation,[],[f83,f218]) ).
tff(f218,plain,
( ( $true = bG26 )
| ~ spl32_18 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f83,plain,
( f3(bG25)
| ( $true != bG26 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
( ( f3(bG25)
| ( $true != bG26 ) )
& ( ( $true = bG26 )
| ~ f3(bG25) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
( f3(bG25)
<=> ( $true = bG26 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG26])]) ).
tff(f5950,plain,
( spl32_75
| ~ spl32_49
| ~ spl32_67
| ~ spl32_96 ),
inference(avatar_split_clause,[],[f3578,f728,f437,f356,f613]) ).
tff(f356,plain,
( spl32_49
<=> f3(bG8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
tff(f728,plain,
( spl32_96
<=> ( $false = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
tff(f3578,plain,
( f3($false)
| ~ spl32_49
| ~ spl32_67
| ~ spl32_96 ),
inference(forward_demodulation,[],[f357,f3570]) ).
tff(f3570,plain,
( ( $false = bG8 )
| ~ spl32_67
| ~ spl32_96 ),
inference(trivial_inequality_removal,[],[f2274]) ).
tff(f2274,plain,
( ( $true = $false )
| ( $false = bG8 )
| ~ spl32_67
| ~ spl32_96 ),
inference(superposition,[],[f730,f438]) ).
tff(f730,plain,
( ( $false = bG8 )
| ~ spl32_96 ),
inference(avatar_component_clause,[],[f728]) ).
tff(f357,plain,
( f3(bG8)
| ~ spl32_49 ),
inference(avatar_component_clause,[],[f356]) ).
tff(f5937,plain,
( ~ spl32_20
| ~ spl32_67
| ~ spl32_77 ),
inference(avatar_contradiction_clause,[],[f5936]) ).
tff(f5936,plain,
( $false
| ~ spl32_20
| ~ spl32_67
| ~ spl32_77 ),
inference(trivial_inequality_removal,[],[f5935]) ).
tff(f5935,plain,
( ( $true = $false )
| ~ spl32_20
| ~ spl32_67
| ~ spl32_77 ),
inference(forward_demodulation,[],[f227,f2942]) ).
tff(f2942,plain,
( ( $false = bG25 )
| ~ spl32_67
| ~ spl32_77 ),
inference(trivial_inequality_removal,[],[f808]) ).
tff(f808,plain,
( ( $true = $false )
| ( $false = bG25 )
| ~ spl32_67
| ~ spl32_77 ),
inference(superposition,[],[f627,f438]) ).
tff(f627,plain,
( ( $false = bG25 )
| ~ spl32_77 ),
inference(avatar_component_clause,[],[f625]) ).
tff(f625,plain,
( spl32_77
<=> ( $false = bG25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
tff(f5874,plain,
( spl32_109
| ~ spl32_49
| ~ spl32_52 ),
inference(avatar_split_clause,[],[f5442,f369,f356,f1401]) ).
tff(f369,plain,
( spl32_52
<=> ( $true = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
tff(f5442,plain,
( f3($true)
| ~ spl32_49
| ~ spl32_52 ),
inference(forward_demodulation,[],[f357,f371]) ).
tff(f371,plain,
( ( $true = bG8 )
| ~ spl32_52 ),
inference(avatar_component_clause,[],[f369]) ).
tff(f5873,plain,
( spl32_68
| ~ spl32_2
| ~ spl32_114 ),
inference(avatar_split_clause,[],[f1854,f1585,f143,f540]) ).
tff(f540,plain,
( spl32_68
<=> ( $false = bG31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
tff(f143,plain,
( spl32_2
<=> f0(bG31) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
tff(f1585,plain,
( spl32_114
<=> ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).
tff(f1854,plain,
( ( $false = bG31 )
| ~ spl32_2
| ~ spl32_114 ),
inference(resolution,[],[f145,f1586]) ).
tff(f1586,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) )
| ~ spl32_114 ),
inference(avatar_component_clause,[],[f1585]) ).
tff(f145,plain,
( f0(bG31)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f5872,plain,
( spl32_88
| ~ spl32_37
| ~ spl32_114 ),
inference(avatar_split_clause,[],[f1588,f1585,f302,f680]) ).
tff(f680,plain,
( spl32_88
<=> ( $false = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
tff(f302,plain,
( spl32_37
<=> f0(bG14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
tff(f1588,plain,
( ( $false = bG14 )
| ~ spl32_37
| ~ spl32_114 ),
inference(resolution,[],[f1586,f303]) ).
tff(f303,plain,
( f0(bG14)
| ~ spl32_37 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f5828,plain,
( ~ spl32_24
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5827]) ).
tff(f5827,plain,
( $false
| ~ spl32_24
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5826]) ).
tff(f5826,plain,
( ( $true = $false )
| ~ spl32_24
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f245,f3957]) ).
tff(f3957,plain,
( ! [X0: $o] : ( $false = (X0) )
| ~ spl32_107
| ~ spl32_116 ),
inference(duplicate_literal_removal,[],[f3952]) ).
tff(f3952,plain,
( ! [X0: $o] :
( ( $false = (X0) )
| ( $false = (X0) ) )
| ~ spl32_107
| ~ spl32_116 ),
inference(resolution,[],[f795,f2236]) ).
tff(f2236,plain,
( ! [X0: $o,X1: $o] :
( ~ f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) )
| ~ spl32_116 ),
inference(avatar_component_clause,[],[f2235]) ).
tff(f2235,plain,
( spl32_116
<=> ! [X0: $o,X1: $o] :
( ~ f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_116])]) ).
tff(f795,plain,
( f0($false)
| ~ spl32_107 ),
inference(avatar_component_clause,[],[f793]) ).
tff(f793,plain,
( spl32_107
<=> f0($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).
tff(f245,plain,
( ( $true = bG23 )
| ~ spl32_24 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f243,plain,
( spl32_24
<=> ( $true = bG23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
tff(f5805,plain,
( ~ spl32_26
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5804]) ).
tff(f5804,plain,
( $false
| ~ spl32_26
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5803]) ).
tff(f5803,plain,
( ( $true = $false )
| ~ spl32_26
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f254,f3957]) ).
tff(f254,plain,
( ( $true = bG22 )
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f252,plain,
( spl32_26
<=> ( $true = bG22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
tff(f5797,plain,
( ~ spl32_28
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5796]) ).
tff(f5796,plain,
( $false
| ~ spl32_28
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5795]) ).
tff(f5795,plain,
( ( $true = $false )
| ~ spl32_28
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f263,f3957]) ).
tff(f263,plain,
( ( $true = bG21 )
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f261,plain,
( spl32_28
<=> ( $true = bG21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
tff(f5788,plain,
( ~ spl32_32
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5787]) ).
tff(f5787,plain,
( $false
| ~ spl32_32
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5786]) ).
tff(f5786,plain,
( ( $true = $false )
| ~ spl32_32
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f281,f3957]) ).
tff(f281,plain,
( ( $true = bG19 )
| ~ spl32_32 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f279,plain,
( spl32_32
<=> ( $true = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
tff(f5781,plain,
( ~ spl32_34
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
tff(f5780,plain,
( $false
| ~ spl32_34
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5779]) ).
tff(f5779,plain,
( ( $true = $false )
| ~ spl32_34
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f290,f3957]) ).
tff(f290,plain,
( ( $true = bG18 )
| ~ spl32_34 ),
inference(avatar_component_clause,[],[f288]) ).
tff(f288,plain,
( spl32_34
<=> ( $true = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
tff(f5777,plain,
( ~ spl32_36
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5776]) ).
tff(f5776,plain,
( $false
| ~ spl32_36
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5775]) ).
tff(f5775,plain,
( ( $true = $false )
| ~ spl32_36
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f299,f3957]) ).
tff(f299,plain,
( ( $true = bG17 )
| ~ spl32_36 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f297,plain,
( spl32_36
<=> ( $true = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
tff(f5770,plain,
( ~ spl32_38
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5769]) ).
tff(f5769,plain,
( $false
| ~ spl32_38
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5768]) ).
tff(f5768,plain,
( ( $true = $false )
| ~ spl32_38
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f308,f3957]) ).
tff(f308,plain,
( ( $true = bG15 )
| ~ spl32_38 ),
inference(avatar_component_clause,[],[f306]) ).
tff(f306,plain,
( spl32_38
<=> ( $true = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
tff(f5762,plain,
( ~ spl32_42
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5761]) ).
tff(f5761,plain,
( $false
| ~ spl32_42
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5760]) ).
tff(f5760,plain,
( ( $true = $false )
| ~ spl32_42
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f326,f3957]) ).
tff(f326,plain,
( ( $true = bG13 )
| ~ spl32_42 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f324,plain,
( spl32_42
<=> ( $true = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
tff(f5751,plain,
( ~ spl32_54
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5750]) ).
tff(f5750,plain,
( $false
| ~ spl32_54
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5749]) ).
tff(f5749,plain,
( ( $true = $false )
| ~ spl32_54
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f380,f3957]) ).
tff(f380,plain,
( ( $true = bG7 )
| ~ spl32_54 ),
inference(avatar_component_clause,[],[f378]) ).
tff(f378,plain,
( spl32_54
<=> ( $true = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
tff(f5725,plain,
( ~ spl32_58
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5724]) ).
tff(f5724,plain,
( $false
| ~ spl32_58
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5723]) ).
tff(f5723,plain,
( ( $true = $false )
| ~ spl32_58
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f398,f3957]) ).
tff(f398,plain,
( ( $true = bG5 )
| ~ spl32_58 ),
inference(avatar_component_clause,[],[f396]) ).
tff(f396,plain,
( spl32_58
<=> ( $true = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
tff(f5714,plain,
( ~ spl32_66
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f5713]) ).
tff(f5713,plain,
( $false
| ~ spl32_66
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f5712]) ).
tff(f5712,plain,
( ( $true = $false )
| ~ spl32_66
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f434,f3957]) ).
tff(f434,plain,
( ( $true = bG1 )
| ~ spl32_66 ),
inference(avatar_component_clause,[],[f432]) ).
tff(f432,plain,
( spl32_66
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
tff(f5475,plain,
( ~ spl32_70
| spl32_41
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f4553,f333,f320,f573]) ).
tff(f573,plain,
( spl32_70
<=> f1($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
tff(f333,plain,
( spl32_44
<=> ( $true = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
tff(f4553,plain,
( ~ f1($true)
| spl32_41
| ~ spl32_44 ),
inference(forward_demodulation,[],[f322,f335]) ).
tff(f335,plain,
( ( $true = bG12 )
| ~ spl32_44 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f322,plain,
( ~ f1(bG12)
| spl32_41 ),
inference(avatar_component_clause,[],[f320]) ).
tff(f5470,plain,
( ~ spl32_69
| spl32_41
| ~ spl32_67
| ~ spl32_90 ),
inference(avatar_split_clause,[],[f1885,f690,f437,f320,f547]) ).
tff(f1885,plain,
( ~ f1($false)
| spl32_41
| ~ spl32_67
| ~ spl32_90 ),
inference(forward_demodulation,[],[f322,f1833]) ).
tff(f5353,plain,
( ~ spl32_117
| spl32_27
| ~ spl32_30 ),
inference(avatar_split_clause,[],[f5340,f270,f257,f2385]) ).
tff(f2385,plain,
( spl32_117
<=> f5($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).
tff(f257,plain,
( spl32_27
<=> f5(bG20) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
tff(f270,plain,
( spl32_30
<=> ( $true = bG20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
tff(f5340,plain,
( ~ f5($true)
| spl32_27
| ~ spl32_30 ),
inference(forward_demodulation,[],[f259,f272]) ).
tff(f272,plain,
( ( $true = bG20 )
| ~ spl32_30 ),
inference(avatar_component_clause,[],[f270]) ).
tff(f259,plain,
( ~ f5(bG20)
| spl32_27 ),
inference(avatar_component_clause,[],[f257]) ).
tff(f5346,plain,
( spl32_117
| ~ spl32_57
| ~ spl32_60 ),
inference(avatar_split_clause,[],[f5225,f405,f392,f2385]) ).
tff(f392,plain,
( spl32_57
<=> f5(bG4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
tff(f405,plain,
( spl32_60
<=> ( $true = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
tff(f5225,plain,
( f5($true)
| ~ spl32_57
| ~ spl32_60 ),
inference(forward_demodulation,[],[f393,f407]) ).
tff(f407,plain,
( ( $true = bG4 )
| ~ spl32_60 ),
inference(avatar_component_clause,[],[f405]) ).
tff(f393,plain,
( f5(bG4)
| ~ spl32_57 ),
inference(avatar_component_clause,[],[f392]) ).
tff(f5330,plain,
( ~ spl32_117
| spl32_25
| ~ spl32_28 ),
inference(avatar_split_clause,[],[f5016,f261,f248,f2385]) ).
tff(f248,plain,
( spl32_25
<=> f5(bG21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
tff(f5016,plain,
( ~ f5($true)
| spl32_25
| ~ spl32_28 ),
inference(superposition,[],[f250,f263]) ).
tff(f250,plain,
( ~ f5(bG21)
| spl32_25 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f5329,plain,
( ~ spl32_34
| spl32_112
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f2487,f665,f1431,f288]) ).
tff(f1431,plain,
( spl32_112
<=> f7($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).
tff(f665,plain,
( spl32_85
<=> ( $false = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
tff(f2487,plain,
( f7($false)
| ( $true != bG18 )
| ~ spl32_85 ),
inference(forward_demodulation,[],[f99,f667]) ).
tff(f667,plain,
( ( $false = bG17 )
| ~ spl32_85 ),
inference(avatar_component_clause,[],[f665]) ).
tff(f99,plain,
( f7(bG17)
| ( $true != bG18 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
( ( f7(bG17)
| ( $true != bG18 ) )
& ( ( $true = bG18 )
| ~ f7(bG17) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
( f7(bG17)
<=> ( $true = bG18 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG18])]) ).
tff(f5328,plain,
( ~ spl32_32
| spl32_112
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f2465,f660,f1431,f279]) ).
tff(f660,plain,
( spl32_84
<=> ( $false = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
tff(f2465,plain,
( f7($false)
| ( $true != bG19 )
| ~ spl32_84 ),
inference(forward_demodulation,[],[f97,f662]) ).
tff(f662,plain,
( ( $false = bG18 )
| ~ spl32_84 ),
inference(avatar_component_clause,[],[f660]) ).
tff(f97,plain,
( f7(bG18)
| ( $true != bG19 ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
( ( f7(bG18)
| ( $true != bG19 ) )
& ( ( $true = bG19 )
| ~ f7(bG18) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
( f7(bG18)
<=> ( $true = bG19 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG19])]) ).
tff(f5327,plain,
( ~ spl32_24
| spl32_110
| ~ spl32_80 ),
inference(avatar_split_clause,[],[f2136,f640,f1421,f243]) ).
tff(f1421,plain,
( spl32_110
<=> f5($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).
tff(f640,plain,
( spl32_80
<=> ( $false = bG22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).
tff(f2136,plain,
( f5($false)
| ( $true != bG23 )
| ~ spl32_80 ),
inference(forward_demodulation,[],[f89,f642]) ).
tff(f642,plain,
( ( $false = bG22 )
| ~ spl32_80 ),
inference(avatar_component_clause,[],[f640]) ).
tff(f89,plain,
( f5(bG22)
| ( $true != bG23 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
( ( f5(bG22)
| ( $true != bG23 ) )
& ( ( $true = bG23 )
| ~ f5(bG22) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
( f5(bG22)
<=> ( $true = bG23 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG23])]) ).
tff(f5326,plain,
( ~ spl32_36
| spl32_35 ),
inference(avatar_split_clause,[],[f101,f293,f297]) ).
tff(f293,plain,
( spl32_35
<=> f7(bG16) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
tff(f101,plain,
( f7(bG16)
| ( $true != bG17 ) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
( ( f7(bG16)
| ( $true != bG17 ) )
& ( ( $true = bG17 )
| ~ f7(bG16) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
( f7(bG16)
<=> ( $true = bG17 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG17])]) ).
tff(f5318,plain,
( ~ spl32_32
| spl32_31 ),
inference(avatar_split_clause,[],[f97,f275,f279]) ).
tff(f275,plain,
( spl32_31
<=> f7(bG18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
tff(f5253,plain,
( spl32_4
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f3309,f157,f153]) ).
tff(f153,plain,
( spl32_4
<=> x ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
tff(f157,plain,
( spl32_5
<=> ( $true = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
tff(f3309,plain,
( x
| ~ spl32_5 ),
inference(trivial_inequality_removal,[],[f3159]) ).
tff(f3159,plain,
( ( $true != $true )
| x
| ~ spl32_5 ),
inference(forward_demodulation,[],[f103,f159]) ).
tff(f159,plain,
( ( $true = bG16 )
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f103,plain,
( x
| ( $true != bG16 ) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
( ( x
| ( $true != bG16 ) )
& ( ( $true = bG16 )
| ~ x ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
( x
<=> ( $true = bG16 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG16])]) ).
tff(f5245,plain,
( ~ spl32_6
| ~ spl32_67
| ~ spl32_106 ),
inference(avatar_contradiction_clause,[],[f5244]) ).
tff(f5244,plain,
( $false
| ~ spl32_6
| ~ spl32_67
| ~ spl32_106 ),
inference(trivial_inequality_removal,[],[f5243]) ).
tff(f5243,plain,
( ( $true = $false )
| ~ spl32_6
| ~ spl32_67
| ~ spl32_106 ),
inference(forward_demodulation,[],[f163,f3023]) ).
tff(f3023,plain,
( ( $false = bG0 )
| ~ spl32_67
| ~ spl32_106 ),
inference(trivial_inequality_removal,[],[f906]) ).
tff(f906,plain,
( ( $true = $false )
| ( $false = bG0 )
| ~ spl32_67
| ~ spl32_106 ),
inference(superposition,[],[f783,f438]) ).
tff(f783,plain,
( ( $false = bG0 )
| ~ spl32_106 ),
inference(avatar_component_clause,[],[f781]) ).
tff(f781,plain,
( spl32_106
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).
tff(f163,plain,
( ( $true = bG0 )
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f162,plain,
( spl32_6
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
tff(f5136,plain,
( ~ spl32_118
| spl32_59
| ~ spl32_62 ),
inference(avatar_split_clause,[],[f4854,f414,f401,f2449]) ).
tff(f2449,plain,
( spl32_118
<=> f6($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).
tff(f401,plain,
( spl32_59
<=> f6(bG3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
tff(f414,plain,
( spl32_62
<=> ( $true = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
tff(f4854,plain,
( ~ f6($true)
| spl32_59
| ~ spl32_62 ),
inference(forward_demodulation,[],[f403,f416]) ).
tff(f416,plain,
( ( $true = bG3 )
| ~ spl32_62 ),
inference(avatar_component_clause,[],[f414]) ).
tff(f403,plain,
( ~ f6(bG3)
| spl32_59 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f5109,plain,
( ~ spl32_117
| spl32_57
| ~ spl32_60 ),
inference(avatar_split_clause,[],[f2625,f405,f392,f2385]) ).
tff(f2625,plain,
( ~ f5($true)
| spl32_57
| ~ spl32_60 ),
inference(superposition,[],[f394,f407]) ).
tff(f394,plain,
( ~ f5(bG4)
| spl32_57 ),
inference(avatar_component_clause,[],[f392]) ).
tff(f5094,plain,
( ~ spl32_54
| spl32_99
| ~ spl32_67
| ~ spl32_98 ),
inference(avatar_split_clause,[],[f3244,f738,f437,f745,f378]) ).
tff(f745,plain,
( spl32_99
<=> f4($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).
tff(f738,plain,
( spl32_98
<=> ( $false = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).
tff(f3244,plain,
( f4($false)
| ( $true != bG7 )
| ~ spl32_67
| ~ spl32_98 ),
inference(forward_demodulation,[],[f121,f3230]) ).
tff(f3230,plain,
( ( $false = bG6 )
| ~ spl32_67
| ~ spl32_98 ),
inference(trivial_inequality_removal,[],[f2208]) ).
tff(f2208,plain,
( ( $true = $false )
| ( $false = bG6 )
| ~ spl32_67
| ~ spl32_98 ),
inference(superposition,[],[f740,f438]) ).
tff(f740,plain,
( ( $false = bG6 )
| ~ spl32_98 ),
inference(avatar_component_clause,[],[f738]) ).
tff(f121,plain,
( f4(bG6)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
( ( f4(bG6)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ f4(bG6) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f12,plain,
( f4(bG6)
<=> ( $true = bG7 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG7])]) ).
tff(f5093,plain,
( ~ spl32_56
| spl32_99
| spl32_58
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f742,f437,f396,f745,f387]) ).
tff(f387,plain,
( spl32_56
<=> ( $true = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
tff(f742,plain,
( f4($false)
| ( $true != bG6 )
| spl32_58
| ~ spl32_67 ),
inference(forward_demodulation,[],[f123,f533]) ).
tff(f533,plain,
( ( $false = bG5 )
| spl32_58
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f452]) ).
tff(f452,plain,
( ( $true != $true )
| ( $false = bG5 )
| spl32_58
| ~ spl32_67 ),
inference(superposition,[],[f397,f438]) ).
tff(f397,plain,
( ( $true != bG5 )
| spl32_58 ),
inference(avatar_component_clause,[],[f396]) ).
tff(f123,plain,
( f4(bG5)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
( ( f4(bG5)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ f4(bG5) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f11,plain,
( f4(bG5)
<=> ( $true = bG6 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG6])]) ).
tff(f5085,plain,
( ~ spl32_66
| spl32_65 ),
inference(avatar_split_clause,[],[f133,f428,f432]) ).
tff(f428,plain,
( spl32_65
<=> f7(bG0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
tff(f133,plain,
( f7(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
( ( f7(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f7(bG0) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( f7(bG0)
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f5084,plain,
( ~ spl32_58
| spl32_57 ),
inference(avatar_split_clause,[],[f125,f392,f396]) ).
tff(f125,plain,
( f5(bG4)
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
( ( f5(bG4)
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ f5(bG4) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
( f5(bG4)
<=> ( $true = bG5 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG5])]) ).
tff(f4960,plain,
( ~ spl32_110
| spl32_25
| ~ spl32_67
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f3831,f645,f437,f248,f1421]) ).
tff(f645,plain,
( spl32_81
<=> ( $false = bG21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).
tff(f3831,plain,
( ~ f5($false)
| spl32_25
| ~ spl32_67
| ~ spl32_81 ),
inference(forward_demodulation,[],[f250,f2761]) ).
tff(f2761,plain,
( ( $false = bG21 )
| ~ spl32_67
| ~ spl32_81 ),
inference(trivial_inequality_removal,[],[f824]) ).
tff(f824,plain,
( ( $true = $false )
| ( $false = bG21 )
| ~ spl32_67
| ~ spl32_81 ),
inference(superposition,[],[f647,f438]) ).
tff(f647,plain,
( ( $false = bG21 )
| ~ spl32_81 ),
inference(avatar_component_clause,[],[f645]) ).
tff(f4875,plain,
( spl32_100
| ~ spl32_53
| ~ spl32_56 ),
inference(avatar_split_clause,[],[f3658,f387,f374,f750]) ).
tff(f750,plain,
( spl32_100
<=> f4($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).
tff(f374,plain,
( spl32_53
<=> f4(bG6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
tff(f3658,plain,
( f4($true)
| ~ spl32_53
| ~ spl32_56 ),
inference(forward_demodulation,[],[f375,f389]) ).
tff(f389,plain,
( ( $true = bG6 )
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f387]) ).
tff(f375,plain,
( f4(bG6)
| ~ spl32_53 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f4790,plain,
( spl32_118
| ~ spl32_60
| ~ spl32_62 ),
inference(avatar_split_clause,[],[f4540,f414,f405,f2449]) ).
tff(f4540,plain,
( f6($true)
| ~ spl32_60
| ~ spl32_62 ),
inference(forward_demodulation,[],[f4480,f416]) ).
tff(f4480,plain,
( f6(bG3)
| ~ spl32_60 ),
inference(trivial_inequality_removal,[],[f2632]) ).
tff(f2632,plain,
( ( $true != $true )
| f6(bG3)
| ~ spl32_60 ),
inference(forward_demodulation,[],[f127,f407]) ).
tff(f127,plain,
( f6(bG3)
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f66]) ).
tff(f66,plain,
( ( f6(bG3)
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ f6(bG3) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,plain,
( f6(bG3)
<=> ( $true = bG4 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG4])]) ).
tff(f4786,plain,
( ~ spl32_62
| ~ spl32_67
| ~ spl32_103 ),
inference(avatar_contradiction_clause,[],[f4785]) ).
tff(f4785,plain,
( $false
| ~ spl32_62
| ~ spl32_67
| ~ spl32_103 ),
inference(trivial_inequality_removal,[],[f4784]) ).
tff(f4784,plain,
( ( $true = $false )
| ~ spl32_62
| ~ spl32_67
| ~ spl32_103 ),
inference(forward_demodulation,[],[f416,f2693]) ).
tff(f2693,plain,
( ( $false = bG3 )
| ~ spl32_67
| ~ spl32_103 ),
inference(trivial_inequality_removal,[],[f894]) ).
tff(f894,plain,
( ( $true = $false )
| ( $false = bG3 )
| ~ spl32_67
| ~ spl32_103 ),
inference(superposition,[],[f768,f438]) ).
tff(f768,plain,
( ( $false = bG3 )
| ~ spl32_103 ),
inference(avatar_component_clause,[],[f766]) ).
tff(f766,plain,
( spl32_103
<=> ( $false = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).
tff(f4754,plain,
( spl32_112
| ~ spl32_36
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f4733,f670,f297,f1431]) ).
tff(f670,plain,
( spl32_86
<=> ( $false = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).
tff(f4733,plain,
( f7($false)
| ~ spl32_36
| ~ spl32_86 ),
inference(trivial_inequality_removal,[],[f4732]) ).
tff(f4732,plain,
( ( $true != $true )
| f7($false)
| ~ spl32_36
| ~ spl32_86 ),
inference(forward_demodulation,[],[f3028,f299]) ).
tff(f3028,plain,
( f7($false)
| ( $true != bG17 )
| ~ spl32_86 ),
inference(forward_demodulation,[],[f101,f672]) ).
tff(f672,plain,
( ( $false = bG16 )
| ~ spl32_86 ),
inference(avatar_component_clause,[],[f670]) ).
tff(f4695,plain,
( spl32_119
| ~ spl32_5
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f4679,f297,f157,f2493]) ).
tff(f2493,plain,
( spl32_119
<=> f7($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).
tff(f4679,plain,
( f7($true)
| ~ spl32_5
| ~ spl32_36 ),
inference(trivial_inequality_removal,[],[f4678]) ).
tff(f4678,plain,
( ( $true != $true )
| f7($true)
| ~ spl32_5
| ~ spl32_36 ),
inference(forward_demodulation,[],[f3340,f299]) ).
tff(f3340,plain,
( f7($true)
| ( $true != bG17 )
| ~ spl32_5 ),
inference(forward_demodulation,[],[f101,f159]) ).
tff(f4693,plain,
( spl32_31
| ~ spl32_32 ),
inference(avatar_split_clause,[],[f4598,f279,f275]) ).
tff(f4598,plain,
( f7(bG18)
| ~ spl32_32 ),
inference(trivial_inequality_removal,[],[f4597]) ).
tff(f4597,plain,
( ( $true != $true )
| f7(bG18)
| ~ spl32_32 ),
inference(forward_demodulation,[],[f97,f281]) ).
tff(f4691,plain,
( spl32_35
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f4596,f297,f293]) ).
tff(f4596,plain,
( f7(bG16)
| ~ spl32_36 ),
inference(trivial_inequality_removal,[],[f4595]) ).
tff(f4595,plain,
( ( $true != $true )
| f7(bG16)
| ~ spl32_36 ),
inference(forward_demodulation,[],[f101,f299]) ).
tff(f4680,plain,
( spl32_4
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f3309,f157,f153]) ).
tff(f4645,plain,
( ~ spl32_111
| spl32_61
| ~ spl32_67
| ~ spl32_104 ),
inference(avatar_split_clause,[],[f2701,f771,f437,f410,f1426]) ).
tff(f1426,plain,
( spl32_111
<=> f6($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).
tff(f410,plain,
( spl32_61
<=> f6(bG2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
tff(f771,plain,
( spl32_104
<=> ( $false = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).
tff(f2701,plain,
( ~ f6($false)
| spl32_61
| ~ spl32_67
| ~ spl32_104 ),
inference(forward_demodulation,[],[f412,f2683]) ).
tff(f2683,plain,
( ( $false = bG2 )
| ~ spl32_67
| ~ spl32_104 ),
inference(trivial_inequality_removal,[],[f898]) ).
tff(f898,plain,
( ( $true = $false )
| ( $false = bG2 )
| ~ spl32_67
| ~ spl32_104 ),
inference(superposition,[],[f773,f438]) ).
tff(f773,plain,
( ( $false = bG2 )
| ~ spl32_104 ),
inference(avatar_component_clause,[],[f771]) ).
tff(f412,plain,
( ~ f6(bG2)
| spl32_61 ),
inference(avatar_component_clause,[],[f410]) ).
tff(f4556,plain,
( ~ spl32_30
| ~ spl32_67
| ~ spl32_82 ),
inference(avatar_contradiction_clause,[],[f4555]) ).
tff(f4555,plain,
( $false
| ~ spl32_30
| ~ spl32_67
| ~ spl32_82 ),
inference(trivial_inequality_removal,[],[f4554]) ).
tff(f4554,plain,
( ( $true = $false )
| ~ spl32_30
| ~ spl32_67
| ~ spl32_82 ),
inference(forward_demodulation,[],[f272,f2596]) ).
tff(f2596,plain,
( ( $false = bG20 )
| ~ spl32_67
| ~ spl32_82 ),
inference(trivial_inequality_removal,[],[f828]) ).
tff(f828,plain,
( ( $true = $false )
| ( $false = bG20 )
| ~ spl32_67
| ~ spl32_82 ),
inference(superposition,[],[f652,f438]) ).
tff(f652,plain,
( ( $false = bG20 )
| ~ spl32_82 ),
inference(avatar_component_clause,[],[f650]) ).
tff(f650,plain,
( spl32_82
<=> ( $false = bG20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).
tff(f4449,plain,
( ~ spl32_113
| spl32_37
| ~ spl32_40 ),
inference(avatar_split_clause,[],[f1891,f315,f302,f1475]) ).
tff(f1475,plain,
( spl32_113
<=> f0($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).
tff(f315,plain,
( spl32_40
<=> ( $true = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
tff(f1891,plain,
( ~ f0($true)
| spl32_37
| ~ spl32_40 ),
inference(forward_demodulation,[],[f304,f317]) ).
tff(f317,plain,
( ( $true = bG14 )
| ~ spl32_40 ),
inference(avatar_component_clause,[],[f315]) ).
tff(f304,plain,
( ~ f0(bG14)
| spl32_37 ),
inference(avatar_component_clause,[],[f302]) ).
tff(f4446,plain,
( spl32_113
| ~ spl32_40
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f3865,f324,f315,f1475]) ).
tff(f3865,plain,
( f0($true)
| ~ spl32_40
| ~ spl32_42 ),
inference(forward_demodulation,[],[f1490,f326]) ).
tff(f1490,plain,
( f0(bG13)
| ~ spl32_40 ),
inference(trivial_inequality_removal,[],[f1489]) ).
tff(f1489,plain,
( ( $true != $true )
| f0(bG13)
| ~ spl32_40 ),
inference(forward_demodulation,[],[f107,f317]) ).
tff(f107,plain,
( f0(bG13)
| ( $true != bG14 ) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
( ( f0(bG13)
| ( $true != bG14 ) )
& ( ( $true = bG14 )
| ~ f0(bG13) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f19,plain,
( f0(bG13)
<=> ( $true = bG14 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG14])]) ).
tff(f4436,plain,
( ~ spl32_107
| spl32_37
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f2247,f680,f302,f793]) ).
tff(f2247,plain,
( ~ f0($false)
| spl32_37
| ~ spl32_88 ),
inference(superposition,[],[f304,f682]) ).
tff(f682,plain,
( ( $false = bG14 )
| ~ spl32_88 ),
inference(avatar_component_clause,[],[f680]) ).
tff(f4036,plain,
( spl32_88
| spl32_40
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f3871,f437,f315,f680]) ).
tff(f3871,plain,
( ( $false = bG14 )
| spl32_40
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f470]) ).
tff(f470,plain,
( ( $true != $true )
| ( $false = bG14 )
| spl32_40
| ~ spl32_67 ),
inference(superposition,[],[f316,f438]) ).
tff(f316,plain,
( ( $true != bG14 )
| spl32_40 ),
inference(avatar_component_clause,[],[f315]) ).
tff(f3973,plain,
( ~ spl32_18
| ~ spl32_107
| ~ spl32_116 ),
inference(avatar_contradiction_clause,[],[f3972]) ).
tff(f3972,plain,
( $false
| ~ spl32_18
| ~ spl32_107
| ~ spl32_116 ),
inference(trivial_inequality_removal,[],[f3971]) ).
tff(f3971,plain,
( ( $true = $false )
| ~ spl32_18
| ~ spl32_107
| ~ spl32_116 ),
inference(forward_demodulation,[],[f218,f3957]) ).
tff(f3961,plain,
( ~ spl32_109
| spl32_17
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f3260,f225,f212,f1401]) ).
tff(f212,plain,
( spl32_17
<=> f3(bG25) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
tff(f3260,plain,
( ~ f3($true)
| spl32_17
| ~ spl32_20 ),
inference(superposition,[],[f214,f227]) ).
tff(f214,plain,
( ~ f3(bG25)
| spl32_17 ),
inference(avatar_component_clause,[],[f212]) ).
tff(f3960,plain,
( ~ spl32_28
| spl32_110
| ~ spl32_67
| ~ spl32_82 ),
inference(avatar_split_clause,[],[f2768,f650,f437,f1421,f261]) ).
tff(f2768,plain,
( f5($false)
| ( $true != bG21 )
| ~ spl32_67
| ~ spl32_82 ),
inference(forward_demodulation,[],[f93,f2596]) ).
tff(f93,plain,
( f5(bG20)
| ( $true != bG21 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
( ( f5(bG20)
| ( $true != bG21 ) )
& ( ( $true = bG21 )
| ~ f5(bG20) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f26,plain,
( f5(bG20)
<=> ( $true = bG21 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG21])]) ).
tff(f3959,plain,
( ~ spl32_26
| spl32_110
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f2347,f645,f1421,f252]) ).
tff(f2347,plain,
( f5($false)
| ( $true != bG22 )
| ~ spl32_81 ),
inference(forward_demodulation,[],[f91,f647]) ).
tff(f91,plain,
( f5(bG21)
| ( $true != bG22 ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
( ( f5(bG21)
| ( $true != bG22 ) )
& ( ( $true = bG22 )
| ~ f5(bG21) ) ),
inference(nnf_transformation,[],[f27]) ).
tff(f27,plain,
( f5(bG21)
<=> ( $true = bG22 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG22])]) ).
tff(f3958,plain,
( ~ spl32_48
| spl32_47 ),
inference(avatar_split_clause,[],[f115,f347,f351]) ).
tff(f115,plain,
( f2(bG9)
| ( $true != bG10 ) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
( ( f2(bG9)
| ( $true != bG10 ) )
& ( ( $true = bG10 )
| ~ f2(bG9) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
( f2(bG9)
<=> ( $true = bG10 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG10])]) ).
tff(f3921,plain,
( spl32_99
| ~ spl32_56
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f3810,f756,f387,f745]) ).
tff(f756,plain,
( spl32_101
<=> ( $false = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).
tff(f3810,plain,
( f4($false)
| ~ spl32_56
| ~ spl32_101 ),
inference(trivial_inequality_removal,[],[f3809]) ).
tff(f3809,plain,
( ( $true != $true )
| f4($false)
| ~ spl32_56
| ~ spl32_101 ),
inference(forward_demodulation,[],[f2639,f389]) ).
tff(f2639,plain,
( f4($false)
| ( $true != bG6 )
| ~ spl32_101 ),
inference(forward_demodulation,[],[f123,f758]) ).
tff(f758,plain,
( ( $false = bG5 )
| ~ spl32_101 ),
inference(avatar_component_clause,[],[f756]) ).
tff(f3916,plain,
( spl32_91
| ~ spl32_45
| ~ spl32_93 ),
inference(avatar_split_clause,[],[f1596,f709,f338,f697]) ).
tff(f709,plain,
( spl32_93
<=> ( $false = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).
tff(f1596,plain,
( f2($false)
| ~ spl32_45
| ~ spl32_93 ),
inference(forward_demodulation,[],[f339,f711]) ).
tff(f711,plain,
( ( $false = bG10 )
| ~ spl32_93 ),
inference(avatar_component_clause,[],[f709]) ).
tff(f3906,plain,
( spl32_113
| ~ spl32_115 ),
inference(avatar_contradiction_clause,[],[f3905]) ).
tff(f3905,plain,
( $false
| spl32_113
| ~ spl32_115 ),
inference(trivial_inequality_removal,[],[f3897]) ).
tff(f3897,plain,
( ( $true = $false )
| spl32_113
| ~ spl32_115 ),
inference(resolution,[],[f1476,f2036]) ).
tff(f2036,plain,
( ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) )
| ~ spl32_115 ),
inference(avatar_component_clause,[],[f2035]) ).
tff(f2035,plain,
( spl32_115
<=> ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
tff(f1476,plain,
( ~ f0($true)
| spl32_113 ),
inference(avatar_component_clause,[],[f1475]) ).
tff(f3868,plain,
( spl32_37
| ~ spl32_40
| ~ spl32_115 ),
inference(avatar_contradiction_clause,[],[f3867]) ).
tff(f3867,plain,
( $false
| spl32_37
| ~ spl32_40
| ~ spl32_115 ),
inference(trivial_inequality_removal,[],[f3866]) ).
tff(f3866,plain,
( ( $true = $false )
| spl32_37
| ~ spl32_40
| ~ spl32_115 ),
inference(forward_demodulation,[],[f317,f2101]) ).
tff(f2101,plain,
( ( $false = bG14 )
| spl32_37
| ~ spl32_115 ),
inference(resolution,[],[f2036,f304]) ).
tff(f3858,plain,
( ~ spl32_113
| spl32_39
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f1853,f324,f311,f1475]) ).
tff(f311,plain,
( spl32_39
<=> f0(bG13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
tff(f1853,plain,
( ~ f0($true)
| spl32_39
| ~ spl32_42 ),
inference(forward_demodulation,[],[f313,f326]) ).
tff(f313,plain,
( ~ f0(bG13)
| spl32_39 ),
inference(avatar_component_clause,[],[f311]) ).
tff(f3826,plain,
( ~ spl32_42
| ~ spl32_89 ),
inference(avatar_contradiction_clause,[],[f3825]) ).
tff(f3825,plain,
( $false
| ~ spl32_42
| ~ spl32_89 ),
inference(trivial_inequality_removal,[],[f3824]) ).
tff(f3824,plain,
( ( $true = $false )
| ~ spl32_42
| ~ spl32_89 ),
inference(forward_demodulation,[],[f326,f687]) ).
tff(f687,plain,
( ( $false = bG13 )
| ~ spl32_89 ),
inference(avatar_component_clause,[],[f685]) ).
tff(f685,plain,
( spl32_89
<=> ( $false = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).
tff(f3759,plain,
( spl32_117
| ~ spl32_26
| ~ spl32_28 ),
inference(avatar_split_clause,[],[f3749,f261,f252,f2385]) ).
tff(f3749,plain,
( f5($true)
| ~ spl32_26
| ~ spl32_28 ),
inference(forward_demodulation,[],[f2369,f263]) ).
tff(f2369,plain,
( f5(bG21)
| ~ spl32_26 ),
inference(trivial_inequality_removal,[],[f2368]) ).
tff(f2368,plain,
( ( $true != $true )
| f5(bG21)
| ~ spl32_26 ),
inference(forward_demodulation,[],[f91,f254]) ).
tff(f3727,plain,
( ~ spl32_58
| spl32_110
| ~ spl32_67
| ~ spl32_102 ),
inference(avatar_split_clause,[],[f2648,f761,f437,f1421,f396]) ).
tff(f761,plain,
( spl32_102
<=> ( $false = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).
tff(f2648,plain,
( f5($false)
| ( $true != bG5 )
| ~ spl32_67
| ~ spl32_102 ),
inference(forward_demodulation,[],[f125,f2636]) ).
tff(f2636,plain,
( ( $false = bG4 )
| ~ spl32_67
| ~ spl32_102 ),
inference(trivial_inequality_removal,[],[f890]) ).
tff(f890,plain,
( ( $true = $false )
| ( $false = bG4 )
| ~ spl32_67
| ~ spl32_102 ),
inference(superposition,[],[f763,f438]) ).
tff(f763,plain,
( ( $false = bG4 )
| ~ spl32_102 ),
inference(avatar_component_clause,[],[f761]) ).
tff(f3726,plain,
( ~ spl32_26
| spl32_110
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f2347,f645,f1421,f252]) ).
tff(f3725,plain,
( ~ spl32_24
| spl32_110
| ~ spl32_80 ),
inference(avatar_split_clause,[],[f2136,f640,f1421,f243]) ).
tff(f3724,plain,
( ~ spl32_56
| spl32_55 ),
inference(avatar_split_clause,[],[f123,f383,f387]) ).
tff(f383,plain,
( spl32_55
<=> f4(bG5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
tff(f3716,plain,
( ~ spl32_54
| spl32_53 ),
inference(avatar_split_clause,[],[f121,f374,f378]) ).
tff(f3715,plain,
( ~ spl32_52
| spl32_51 ),
inference(avatar_split_clause,[],[f119,f365,f369]) ).
tff(f365,plain,
( spl32_51
<=> f4(bG7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
tff(f119,plain,
( f4(bG7)
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
( ( f4(bG7)
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ f4(bG7) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
( f4(bG7)
<=> ( $true = bG8 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG8])]) ).
tff(f3714,plain,
( ~ spl32_50
| spl32_49 ),
inference(avatar_split_clause,[],[f117,f356,f360]) ).
tff(f360,plain,
( spl32_50
<=> ( $true = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
tff(f117,plain,
( f3(bG8)
| ( $true != bG9 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
( ( f3(bG8)
| ( $true != bG9 ) )
& ( ( $true = bG9 )
| ~ f3(bG8) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
( f3(bG8)
<=> ( $true = bG9 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG9])]) ).
tff(f3713,plain,
( ~ spl32_26
| spl32_25 ),
inference(avatar_split_clause,[],[f91,f248,f252]) ).
tff(f3712,plain,
( ~ spl32_24
| spl32_23 ),
inference(avatar_split_clause,[],[f89,f239,f243]) ).
tff(f239,plain,
( spl32_23
<=> f5(bG22) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
tff(f3711,plain,
( ~ spl32_12
| spl32_11 ),
inference(avatar_split_clause,[],[f77,f185,f189]) ).
tff(f189,plain,
( spl32_12
<=> ( $true = bG29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
tff(f185,plain,
( spl32_11
<=> f1(bG28) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
tff(f77,plain,
( f1(bG28)
| ( $true != bG29 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
( ( f1(bG28)
| ( $true != bG29 ) )
& ( ( $true = bG29 )
| ~ f1(bG28) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
( f1(bG28)
<=> ( $true = bG29 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG29])]) ).
tff(f3599,plain,
( ~ spl32_69
| spl32_9
| ~ spl32_72 ),
inference(avatar_split_clause,[],[f918,f596,f176,f547]) ).
tff(f176,plain,
( spl32_9
<=> f1(bG29) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
tff(f596,plain,
( spl32_72
<=> ( $false = bG29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
tff(f918,plain,
( ~ f1($false)
| spl32_9
| ~ spl32_72 ),
inference(forward_demodulation,[],[f178,f598]) ).
tff(f598,plain,
( ( $false = bG29 )
| ~ spl32_72 ),
inference(avatar_component_clause,[],[f596]) ).
tff(f178,plain,
( ~ f1(bG29)
| spl32_9 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f3541,plain,
( spl32_99
| ~ spl32_54
| ~ spl32_67
| ~ spl32_98 ),
inference(avatar_split_clause,[],[f3513,f738,f437,f378,f745]) ).
tff(f3513,plain,
( f4($false)
| ~ spl32_54
| ~ spl32_67
| ~ spl32_98 ),
inference(forward_demodulation,[],[f3484,f3230]) ).
tff(f3484,plain,
( f4(bG6)
| ~ spl32_54 ),
inference(trivial_inequality_removal,[],[f3233]) ).
tff(f3233,plain,
( ( $true != $true )
| f4(bG6)
| ~ spl32_54 ),
inference(forward_demodulation,[],[f121,f380]) ).
tff(f3536,plain,
( ~ spl32_99
| spl32_55
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f2145,f756,f383,f745]) ).
tff(f2145,plain,
( ~ f4($false)
| spl32_55
| ~ spl32_101 ),
inference(forward_demodulation,[],[f385,f758]) ).
tff(f385,plain,
( ~ f4(bG5)
| spl32_55 ),
inference(avatar_component_clause,[],[f383]) ).
tff(f3475,plain,
( ~ spl32_99
| spl32_53
| ~ spl32_98 ),
inference(avatar_split_clause,[],[f2209,f738,f374,f745]) ).
tff(f2209,plain,
( ~ f4($false)
| spl32_53
| ~ spl32_98 ),
inference(superposition,[],[f376,f740]) ).
tff(f376,plain,
( ~ f4(bG6)
| spl32_53 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f3370,plain,
( ~ spl32_32
| ~ spl32_67
| ~ spl32_83 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
tff(f3369,plain,
( $false
| ~ spl32_32
| ~ spl32_67
| ~ spl32_83 ),
inference(trivial_inequality_removal,[],[f3368]) ).
tff(f3368,plain,
( ( $true = $false )
| ~ spl32_32
| ~ spl32_67
| ~ spl32_83 ),
inference(forward_demodulation,[],[f281,f2599]) ).
tff(f2599,plain,
( ( $false = bG19 )
| ~ spl32_67
| ~ spl32_83 ),
inference(trivial_inequality_removal,[],[f832]) ).
tff(f832,plain,
( ( $true = $false )
| ( $false = bG19 )
| ~ spl32_67
| ~ spl32_83 ),
inference(superposition,[],[f657,f438]) ).
tff(f657,plain,
( ( $false = bG19 )
| ~ spl32_83 ),
inference(avatar_component_clause,[],[f655]) ).
tff(f655,plain,
( spl32_83
<=> ( $false = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
tff(f3349,plain,
( ~ spl32_119
| spl32_33
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f3087,f297,f284,f2493]) ).
tff(f284,plain,
( spl32_33
<=> f7(bG17) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
tff(f3087,plain,
( ~ f7($true)
| spl32_33
| ~ spl32_36 ),
inference(forward_demodulation,[],[f286,f299]) ).
tff(f286,plain,
( ~ f7(bG17)
| spl32_33 ),
inference(avatar_component_clause,[],[f284]) ).
tff(f3341,plain,
( spl32_4
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f3309,f157,f153]) ).
tff(f3335,plain,
( ~ spl32_36
| ~ spl32_67
| ~ spl32_85 ),
inference(avatar_contradiction_clause,[],[f3334]) ).
tff(f3334,plain,
( $false
| ~ spl32_36
| ~ spl32_67
| ~ spl32_85 ),
inference(trivial_inequality_removal,[],[f3333]) ).
tff(f3333,plain,
( ( $true = $false )
| ~ spl32_36
| ~ spl32_67
| ~ spl32_85 ),
inference(forward_demodulation,[],[f299,f3101]) ).
tff(f3101,plain,
( ( $false = bG17 )
| ~ spl32_67
| ~ spl32_85 ),
inference(trivial_inequality_removal,[],[f840]) ).
tff(f840,plain,
( ( $true = $false )
| ( $false = bG17 )
| ~ spl32_67
| ~ spl32_85 ),
inference(superposition,[],[f667,f438]) ).
tff(f3327,plain,
( ~ spl32_5
| spl32_35
| ~ spl32_120 ),
inference(avatar_contradiction_clause,[],[f3326]) ).
tff(f3326,plain,
( $false
| ~ spl32_5
| spl32_35
| ~ spl32_120 ),
inference(trivial_inequality_removal,[],[f3325]) ).
tff(f3325,plain,
( ( $true = $false )
| ~ spl32_5
| spl32_35
| ~ spl32_120 ),
inference(forward_demodulation,[],[f159,f2558]) ).
tff(f2558,plain,
( ( $false = bG16 )
| spl32_35
| ~ spl32_120 ),
inference(resolution,[],[f2555,f295]) ).
tff(f295,plain,
( ~ f7(bG16)
| spl32_35 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f2555,plain,
( ! [X0: $o] :
( f7((X0))
| ( $false = (X0) ) )
| ~ spl32_120 ),
inference(avatar_component_clause,[],[f2554]) ).
tff(f2554,plain,
( spl32_120
<=> ! [X0: $o] :
( f7((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).
tff(f3306,plain,
( ~ spl32_112
| spl32_35
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f845,f670,f293,f1431]) ).
tff(f845,plain,
( ~ f7($false)
| spl32_35
| ~ spl32_86 ),
inference(superposition,[],[f295,f672]) ).
tff(f3302,plain,
( ~ spl32_28
| ~ spl32_67
| ~ spl32_81 ),
inference(avatar_contradiction_clause,[],[f3301]) ).
tff(f3301,plain,
( $false
| ~ spl32_28
| ~ spl32_67
| ~ spl32_81 ),
inference(trivial_inequality_removal,[],[f3300]) ).
tff(f3300,plain,
( ( $true = $false )
| ~ spl32_28
| ~ spl32_67
| ~ spl32_81 ),
inference(forward_demodulation,[],[f263,f2761]) ).
tff(f3294,plain,
( ~ spl32_110
| spl32_27
| ~ spl32_82 ),
inference(avatar_split_clause,[],[f830,f650,f257,f1421]) ).
tff(f830,plain,
( ~ f5($false)
| spl32_27
| ~ spl32_82 ),
inference(superposition,[],[f259,f652]) ).
tff(f3254,plain,
( spl32_51
| ~ spl32_52 ),
inference(avatar_split_clause,[],[f3247,f369,f365]) ).
tff(f3247,plain,
( f4(bG7)
| ~ spl32_52 ),
inference(trivial_inequality_removal,[],[f3246]) ).
tff(f3246,plain,
( ( $true != $true )
| f4(bG7)
| ~ spl32_52 ),
inference(forward_demodulation,[],[f119,f371]) ).
tff(f3237,plain,
( spl32_100
| ~ spl32_52
| ~ spl32_54 ),
inference(avatar_split_clause,[],[f3232,f378,f369,f750]) ).
tff(f3232,plain,
( f4($true)
| ~ spl32_52
| ~ spl32_54 ),
inference(trivial_inequality_removal,[],[f3231]) ).
tff(f3231,plain,
( ( $true != $true )
| f4($true)
| ~ spl32_52
| ~ spl32_54 ),
inference(forward_demodulation,[],[f2817,f371]) ).
tff(f2817,plain,
( f4($true)
| ( $true != bG8 )
| ~ spl32_54 ),
inference(forward_demodulation,[],[f119,f380]) ).
tff(f3224,plain,
( spl32_100
| ~ spl32_56
| ~ spl32_58 ),
inference(avatar_split_clause,[],[f3216,f396,f387,f750]) ).
tff(f3216,plain,
( f4($true)
| ~ spl32_56
| ~ spl32_58 ),
inference(trivial_inequality_removal,[],[f3215]) ).
tff(f3215,plain,
( ( $true != $true )
| f4($true)
| ~ spl32_56
| ~ spl32_58 ),
inference(forward_demodulation,[],[f2649,f389]) ).
tff(f2649,plain,
( f4($true)
| ( $true != bG6 )
| ~ spl32_58 ),
inference(forward_demodulation,[],[f123,f398]) ).
tff(f3194,plain,
( ~ spl32_75
| spl32_17
| ~ spl32_77 ),
inference(avatar_split_clause,[],[f810,f625,f212,f613]) ).
tff(f810,plain,
( ~ f3($false)
| spl32_17
| ~ spl32_77 ),
inference(superposition,[],[f214,f627]) ).
tff(f3169,plain,
( ~ spl32_5
| spl32_4 ),
inference(avatar_split_clause,[],[f103,f153,f157]) ).
tff(f3161,plain,
( spl32_4
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f3160,f157,f153]) ).
tff(f3160,plain,
( x
| ~ spl32_5 ),
inference(trivial_inequality_removal,[],[f3159]) ).
tff(f3158,plain,
( ~ spl32_4
| spl32_6 ),
inference(avatar_split_clause,[],[f134,f162,f153]) ).
tff(f134,plain,
( ( $true = bG0 )
| ~ x ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
( ( x
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ x ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( x
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f3134,plain,
( spl32_119
| ~ spl32_6
| ~ spl32_65
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f3098,f437,f428,f162,f2493]) ).
tff(f3098,plain,
( f7($true)
| ~ spl32_6
| ~ spl32_65
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f3097]) ).
tff(f3097,plain,
( ( $true = $false )
| f7($true)
| ~ spl32_6
| ~ spl32_65
| ~ spl32_67 ),
inference(forward_demodulation,[],[f3092,f163]) ).
tff(f3092,plain,
( f7($true)
| ( $false = bG0 )
| ~ spl32_65
| ~ spl32_67 ),
inference(superposition,[],[f429,f438]) ).
tff(f429,plain,
( f7(bG0)
| ~ spl32_65 ),
inference(avatar_component_clause,[],[f428]) ).
tff(f3133,plain,
( ~ spl32_64
| spl32_63 ),
inference(avatar_split_clause,[],[f131,f419,f423]) ).
tff(f423,plain,
( spl32_64
<=> ( $true = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
tff(f419,plain,
( spl32_63
<=> f6(bG1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
tff(f131,plain,
( f6(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f68]) ).
tff(f68,plain,
( ( f6(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f6(bG1) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,plain,
( f6(bG1)
<=> ( $true = bG2 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f3099,plain,
( spl32_35
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f3084,f297,f293]) ).
tff(f3084,plain,
( f7(bG16)
| ~ spl32_36 ),
inference(trivial_inequality_removal,[],[f3083]) ).
tff(f3083,plain,
( ( $true != $true )
| f7(bG16)
| ~ spl32_36 ),
inference(forward_demodulation,[],[f101,f299]) ).
tff(f3078,plain,
( spl32_119
| ~ spl32_33
| ~ spl32_36 ),
inference(avatar_split_clause,[],[f3077,f297,f284,f2493]) ).
tff(f3077,plain,
( f7($true)
| ~ spl32_33
| ~ spl32_36 ),
inference(forward_demodulation,[],[f285,f299]) ).
tff(f285,plain,
( f7(bG17)
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f284]) ).
tff(f3076,plain,
( ~ spl32_34
| spl32_33 ),
inference(avatar_split_clause,[],[f99,f284,f288]) ).
tff(f3046,plain,
( spl32_65
| ~ spl32_66 ),
inference(avatar_split_clause,[],[f3030,f432,f428]) ).
tff(f3030,plain,
( f7(bG0)
| ~ spl32_66 ),
inference(trivial_inequality_removal,[],[f3029]) ).
tff(f3029,plain,
( ( $true != $true )
| f7(bG0)
| ~ spl32_66 ),
inference(forward_demodulation,[],[f133,f434]) ).
tff(f3014,plain,
( ~ spl32_5
| ~ spl32_86 ),
inference(avatar_contradiction_clause,[],[f3013]) ).
tff(f3013,plain,
( $false
| ~ spl32_5
| ~ spl32_86 ),
inference(trivial_inequality_removal,[],[f3012]) ).
tff(f3012,plain,
( ( $true = $false )
| ~ spl32_5
| ~ spl32_86 ),
inference(forward_demodulation,[],[f159,f672]) ).
tff(f3011,plain,
( ~ spl32_6
| spl32_65
| ~ spl32_120 ),
inference(avatar_contradiction_clause,[],[f3010]) ).
tff(f3010,plain,
( $false
| ~ spl32_6
| spl32_65
| ~ spl32_120 ),
inference(trivial_inequality_removal,[],[f3009]) ).
tff(f3009,plain,
( ( $true = $false )
| ~ spl32_6
| spl32_65
| ~ spl32_120 ),
inference(forward_demodulation,[],[f163,f2557]) ).
tff(f2557,plain,
( ( $false = bG0 )
| spl32_65
| ~ spl32_120 ),
inference(resolution,[],[f2555,f430]) ).
tff(f430,plain,
( ~ f7(bG0)
| spl32_65 ),
inference(avatar_component_clause,[],[f428]) ).
tff(f2995,plain,
( ~ spl32_64
| spl32_111
| ~ spl32_67
| ~ spl32_105 ),
inference(avatar_split_clause,[],[f2568,f776,f437,f1426,f423]) ).
tff(f776,plain,
( spl32_105
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
tff(f2568,plain,
( f6($false)
| ( $true != bG2 )
| ~ spl32_67
| ~ spl32_105 ),
inference(forward_demodulation,[],[f131,f2455]) ).
tff(f2455,plain,
( ( $false = bG1 )
| ~ spl32_67
| ~ spl32_105 ),
inference(trivial_inequality_removal,[],[f902]) ).
tff(f902,plain,
( ( $true = $false )
| ( $false = bG1 )
| ~ spl32_67
| ~ spl32_105 ),
inference(superposition,[],[f778,f438]) ).
tff(f778,plain,
( ( $false = bG1 )
| ~ spl32_105 ),
inference(avatar_component_clause,[],[f776]) ).
tff(f2994,plain,
( ~ spl32_20
| spl32_19 ),
inference(avatar_split_clause,[],[f85,f221,f225]) ).
tff(f85,plain,
( f3(bG24)
| ( $true != bG25 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
( ( f3(bG24)
| ( $true != bG25 ) )
& ( ( $true = bG25 )
| ~ f3(bG24) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
( f3(bG24)
<=> ( $true = bG25 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG25])]) ).
tff(f2970,plain,
( spl32_75
| ~ spl32_16
| ~ spl32_76 ),
inference(avatar_split_clause,[],[f2894,f620,f207,f613]) ).
tff(f2894,plain,
( f3($false)
| ~ spl32_16
| ~ spl32_76 ),
inference(trivial_inequality_removal,[],[f2893]) ).
tff(f2893,plain,
( ( $true != $true )
| f3($false)
| ~ spl32_16
| ~ spl32_76 ),
inference(forward_demodulation,[],[f1657,f209]) ).
tff(f209,plain,
( ( $true = bG27 )
| ~ spl32_16 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f1657,plain,
( f3($false)
| ( $true != bG27 )
| ~ spl32_76 ),
inference(forward_demodulation,[],[f81,f622]) ).
tff(f81,plain,
( f3(bG26)
| ( $true != bG27 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
( ( f3(bG26)
| ( $true != bG27 ) )
& ( ( $true = bG27 )
| ~ f3(bG26) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
( f3(bG26)
<=> ( $true = bG27 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG27])]) ).
tff(f2968,plain,
( spl32_47
| ~ spl32_48 ),
inference(avatar_split_clause,[],[f2890,f351,f347]) ).
tff(f2890,plain,
( f2(bG9)
| ~ spl32_48 ),
inference(trivial_inequality_removal,[],[f2889]) ).
tff(f2889,plain,
( ( $true != $true )
| f2(bG9)
| ~ spl32_48 ),
inference(forward_demodulation,[],[f115,f353]) ).
tff(f2929,plain,
( spl32_100
| ~ spl32_51
| ~ spl32_54 ),
inference(avatar_split_clause,[],[f2851,f378,f365,f750]) ).
tff(f2851,plain,
( f4($true)
| ~ spl32_51
| ~ spl32_54 ),
inference(forward_demodulation,[],[f366,f380]) ).
tff(f366,plain,
( f4(bG7)
| ~ spl32_51 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f2926,plain,
( ~ spl32_100
| spl32_21
| ~ spl32_24 ),
inference(avatar_split_clause,[],[f2775,f243,f230,f750]) ).
tff(f230,plain,
( spl32_21
<=> f4(bG23) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
tff(f2775,plain,
( ~ f4($true)
| spl32_21
| ~ spl32_24 ),
inference(forward_demodulation,[],[f232,f245]) ).
tff(f232,plain,
( ~ f4(bG23)
| spl32_21 ),
inference(avatar_component_clause,[],[f230]) ).
tff(f2906,plain,
( spl32_109
| ~ spl32_19
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f2810,f234,f221,f1401]) ).
tff(f234,plain,
( spl32_22
<=> ( $true = bG24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
tff(f2810,plain,
( f3($true)
| ~ spl32_19
| ~ spl32_22 ),
inference(forward_demodulation,[],[f222,f236]) ).
tff(f236,plain,
( ( $true = bG24 )
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f234]) ).
tff(f222,plain,
( f3(bG24)
| ~ spl32_19 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f2873,plain,
( spl32_95
| ~ spl32_48
| ~ spl32_50 ),
inference(avatar_split_clause,[],[f2871,f360,f351,f722]) ).
tff(f2871,plain,
( f2($true)
| ~ spl32_48
| ~ spl32_50 ),
inference(trivial_inequality_removal,[],[f2870]) ).
tff(f2870,plain,
( ( $true != $true )
| f2($true)
| ~ spl32_48
| ~ spl32_50 ),
inference(forward_demodulation,[],[f2868,f353]) ).
tff(f2868,plain,
( f2($true)
| ( $true != bG10 )
| ~ spl32_50 ),
inference(forward_demodulation,[],[f115,f362]) ).
tff(f362,plain,
( ( $true = bG9 )
| ~ spl32_50 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f2869,plain,
( spl32_95
| ~ spl32_47
| ~ spl32_50 ),
inference(avatar_split_clause,[],[f2866,f360,f347,f722]) ).
tff(f2866,plain,
( f2($true)
| ~ spl32_47
| ~ spl32_50 ),
inference(forward_demodulation,[],[f348,f362]) ).
tff(f2862,plain,
( ~ spl32_50
| ~ spl32_94 ),
inference(avatar_contradiction_clause,[],[f2861]) ).
tff(f2861,plain,
( $false
| ~ spl32_50
| ~ spl32_94 ),
inference(trivial_inequality_removal,[],[f2860]) ).
tff(f2860,plain,
( ( $true = $false )
| ~ spl32_50
| ~ spl32_94 ),
inference(forward_demodulation,[],[f362,f716]) ).
tff(f2857,plain,
( ~ spl32_109
| spl32_49
| ~ spl32_52
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2140,f437,f369,f356,f1401]) ).
tff(f2140,plain,
( ~ f3($true)
| spl32_49
| ~ spl32_52
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2139]) ).
tff(f2139,plain,
( ( $true = $false )
| ~ f3($true)
| spl32_49
| ~ spl32_52
| ~ spl32_67 ),
inference(forward_demodulation,[],[f459,f371]) ).
tff(f459,plain,
( ~ f3($true)
| ( $false = bG8 )
| spl32_49
| ~ spl32_67 ),
inference(superposition,[],[f358,f438]) ).
tff(f358,plain,
( ~ f3(bG8)
| spl32_49 ),
inference(avatar_component_clause,[],[f356]) ).
tff(f2843,plain,
( ~ spl32_100
| spl32_51
| ~ spl32_54
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2813,f437,f378,f365,f750]) ).
tff(f2813,plain,
( ~ f4($true)
| spl32_51
| ~ spl32_54
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2812]) ).
tff(f2812,plain,
( ( $true = $false )
| ~ f4($true)
| spl32_51
| ~ spl32_54
| ~ spl32_67 ),
inference(forward_demodulation,[],[f457,f380]) ).
tff(f457,plain,
( ~ f4($true)
| ( $false = bG7 )
| spl32_51
| ~ spl32_67 ),
inference(superposition,[],[f367,f438]) ).
tff(f367,plain,
( ~ f4(bG7)
| spl32_51 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f2804,plain,
( ~ spl32_54
| ~ spl32_97 ),
inference(avatar_contradiction_clause,[],[f2803]) ).
tff(f2803,plain,
( $false
| ~ spl32_54
| ~ spl32_97 ),
inference(trivial_inequality_removal,[],[f2802]) ).
tff(f2802,plain,
( ( $true = $false )
| ~ spl32_54
| ~ spl32_97 ),
inference(forward_demodulation,[],[f380,f735]) ).
tff(f735,plain,
( ( $false = bG7 )
| ~ spl32_97 ),
inference(avatar_component_clause,[],[f733]) ).
tff(f733,plain,
( spl32_97
<=> ( $false = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).
tff(f2782,plain,
( spl32_19
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f2767,f225,f221]) ).
tff(f2767,plain,
( f3(bG24)
| ~ spl32_20 ),
inference(trivial_inequality_removal,[],[f2766]) ).
tff(f2766,plain,
( ( $true != $true )
| f3(bG24)
| ~ spl32_20 ),
inference(forward_demodulation,[],[f85,f227]) ).
tff(f2752,plain,
( ~ spl32_100
| spl32_55
| ~ spl32_58
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2651,f437,f396,f383,f750]) ).
tff(f2651,plain,
( ~ f4($true)
| spl32_55
| ~ spl32_58
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2650]) ).
tff(f2650,plain,
( ( $true = $false )
| ~ f4($true)
| spl32_55
| ~ spl32_58
| ~ spl32_67 ),
inference(forward_demodulation,[],[f453,f398]) ).
tff(f453,plain,
( ~ f4($true)
| ( $false = bG5 )
| spl32_55
| ~ spl32_67 ),
inference(superposition,[],[f385,f438]) ).
tff(f2715,plain,
( spl32_119
| ~ spl32_120 ),
inference(avatar_contradiction_clause,[],[f2714]) ).
tff(f2714,plain,
( $false
| spl32_119
| ~ spl32_120 ),
inference(trivial_inequality_removal,[],[f2706]) ).
tff(f2706,plain,
( ( $true = $false )
| spl32_119
| ~ spl32_120 ),
inference(resolution,[],[f2494,f2555]) ).
tff(f2494,plain,
( ~ f7($true)
| spl32_119 ),
inference(avatar_component_clause,[],[f2493]) ).
tff(f2704,plain,
( ~ spl32_119
| spl32_31
| ~ spl32_34
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2612,f437,f288,f275,f2493]) ).
tff(f2612,plain,
( ~ f7($true)
| spl32_31
| ~ spl32_34
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2611]) ).
tff(f2611,plain,
( ( $true = $false )
| ~ f7($true)
| spl32_31
| ~ spl32_34
| ~ spl32_67 ),
inference(forward_demodulation,[],[f479,f290]) ).
tff(f479,plain,
( ~ f7($true)
| ( $false = bG18 )
| spl32_31
| ~ spl32_67 ),
inference(superposition,[],[f277,f438]) ).
tff(f277,plain,
( ~ f7(bG18)
| spl32_31 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f2703,plain,
( ~ spl32_62
| spl32_111
| ~ spl32_67
| ~ spl32_104 ),
inference(avatar_split_clause,[],[f2697,f771,f437,f1426,f414]) ).
tff(f2697,plain,
( f6($false)
| ( $true != bG3 )
| ~ spl32_67
| ~ spl32_104 ),
inference(forward_demodulation,[],[f129,f2683]) ).
tff(f129,plain,
( f6(bG2)
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
( ( f6(bG2)
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ f6(bG2) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( f6(bG2)
<=> ( $true = bG3 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG3])]) ).
tff(f2702,plain,
( ~ spl32_64
| spl32_118
| ~ spl32_66 ),
inference(avatar_split_clause,[],[f2679,f432,f2449,f423]) ).
tff(f2679,plain,
( f6($true)
| ( $true != bG2 )
| ~ spl32_66 ),
inference(forward_demodulation,[],[f131,f434]) ).
tff(f2691,plain,
( spl32_111
| ~ spl32_61
| ~ spl32_67
| ~ spl32_104 ),
inference(avatar_split_clause,[],[f2690,f771,f437,f410,f1426]) ).
tff(f2690,plain,
( f6($false)
| ~ spl32_61
| ~ spl32_67
| ~ spl32_104 ),
inference(forward_demodulation,[],[f411,f2683]) ).
tff(f411,plain,
( f6(bG2)
| ~ spl32_61 ),
inference(avatar_component_clause,[],[f410]) ).
tff(f2689,plain,
( spl32_61
| ~ spl32_62 ),
inference(avatar_split_clause,[],[f2687,f414,f410]) ).
tff(f2687,plain,
( f6(bG2)
| ~ spl32_62 ),
inference(trivial_inequality_removal,[],[f2686]) ).
tff(f2686,plain,
( ( $true != $true )
| f6(bG2)
| ~ spl32_62 ),
inference(forward_demodulation,[],[f129,f416]) ).
tff(f2681,plain,
( spl32_118
| ~ spl32_62
| ~ spl32_64 ),
inference(avatar_split_clause,[],[f2678,f423,f414,f2449]) ).
tff(f2678,plain,
( f6($true)
| ~ spl32_62
| ~ spl32_64 ),
inference(trivial_inequality_removal,[],[f2677]) ).
tff(f2677,plain,
( ( $true != $true )
| f6($true)
| ~ spl32_62
| ~ spl32_64 ),
inference(forward_demodulation,[],[f2631,f416]) ).
tff(f2631,plain,
( f6($true)
| ( $true != bG3 )
| ~ spl32_64 ),
inference(forward_demodulation,[],[f129,f425]) ).
tff(f425,plain,
( ( $true = bG2 )
| ~ spl32_64 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f2675,plain,
( spl32_118
| ~ spl32_63
| ~ spl32_66 ),
inference(avatar_split_clause,[],[f2590,f432,f419,f2449]) ).
tff(f2590,plain,
( f6($true)
| ~ spl32_63
| ~ spl32_66 ),
inference(superposition,[],[f420,f434]) ).
tff(f420,plain,
( f6(bG1)
| ~ spl32_63 ),
inference(avatar_component_clause,[],[f419]) ).
tff(f2646,plain,
( ~ spl32_58
| ~ spl32_101 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
tff(f2645,plain,
( $false
| ~ spl32_58
| ~ spl32_101 ),
inference(trivial_inequality_removal,[],[f2644]) ).
tff(f2644,plain,
( ( $true = $false )
| ~ spl32_58
| ~ spl32_101 ),
inference(forward_demodulation,[],[f398,f758]) ).
tff(f2634,plain,
( spl32_59
| ~ spl32_60 ),
inference(avatar_split_clause,[],[f2633,f405,f401]) ).
tff(f2633,plain,
( f6(bG3)
| ~ spl32_60 ),
inference(trivial_inequality_removal,[],[f2632]) ).
tff(f2630,plain,
( ~ spl32_60
| spl32_111
| ~ spl32_103 ),
inference(avatar_split_clause,[],[f2607,f766,f1426,f405]) ).
tff(f2607,plain,
( f6($false)
| ( $true != bG4 )
| ~ spl32_103 ),
inference(forward_demodulation,[],[f127,f768]) ).
tff(f2629,plain,
( ~ spl32_30
| spl32_111
| ~ spl32_83 ),
inference(avatar_split_clause,[],[f2379,f655,f1426,f270]) ).
tff(f2379,plain,
( f6($false)
| ( $true != bG20 )
| ~ spl32_83 ),
inference(forward_demodulation,[],[f95,f657]) ).
tff(f95,plain,
( f6(bG19)
| ( $true != bG20 ) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( ( f6(bG19)
| ( $true != bG20 ) )
& ( ( $true = bG20 )
| ~ f6(bG19) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f25,plain,
( f6(bG19)
<=> ( $true = bG20 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG20])]) ).
tff(f2628,plain,
( ~ spl32_30
| spl32_29 ),
inference(avatar_split_clause,[],[f95,f266,f270]) ).
tff(f266,plain,
( spl32_29
<=> f6(bG19) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
tff(f2593,plain,
( ~ spl32_118
| spl32_61
| ~ spl32_64 ),
inference(avatar_split_clause,[],[f2583,f423,f410,f2449]) ).
tff(f2583,plain,
( ~ f6($true)
| spl32_61
| ~ spl32_64 ),
inference(superposition,[],[f412,f425]) ).
tff(f2571,plain,
( ~ spl32_66
| ~ spl32_67
| ~ spl32_105 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
tff(f2570,plain,
( $false
| ~ spl32_66
| ~ spl32_67
| ~ spl32_105 ),
inference(trivial_inequality_removal,[],[f2569]) ).
tff(f2569,plain,
( ( $true = $false )
| ~ spl32_66
| ~ spl32_67
| ~ spl32_105 ),
inference(forward_demodulation,[],[f434,f2455]) ).
tff(f2565,plain,
( ~ spl32_112
| spl32_65
| ~ spl32_106 ),
inference(avatar_split_clause,[],[f907,f781,f428,f1431]) ).
tff(f907,plain,
( ~ f7($false)
| spl32_65
| ~ spl32_106 ),
inference(superposition,[],[f430,f783]) ).
tff(f2564,plain,
( ~ spl32_111
| spl32_59
| ~ spl32_103 ),
inference(avatar_split_clause,[],[f896,f766,f401,f1426]) ).
tff(f896,plain,
( ~ f6($false)
| spl32_59
| ~ spl32_103 ),
inference(superposition,[],[f403,f768]) ).
tff(f2560,plain,
( ~ spl32_112
| spl32_33
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f842,f665,f284,f1431]) ).
tff(f842,plain,
( ~ f7($false)
| spl32_33
| ~ spl32_85 ),
inference(superposition,[],[f286,f667]) ).
tff(f2556,plain,
( spl32_120
| ~ spl32_67
| ~ spl32_119 ),
inference(avatar_split_clause,[],[f2497,f2493,f437,f2554]) ).
tff(f2497,plain,
( ! [X0: $o] :
( f7((X0))
| ( $false = (X0) ) )
| ~ spl32_67
| ~ spl32_119 ),
inference(superposition,[],[f2495,f438]) ).
tff(f2495,plain,
( f7($true)
| ~ spl32_119 ),
inference(avatar_component_clause,[],[f2493]) ).
tff(f2526,plain,
( ~ spl32_118
| spl32_29
| ~ spl32_32 ),
inference(avatar_split_clause,[],[f2522,f279,f266,f2449]) ).
tff(f2522,plain,
( ~ f6($true)
| spl32_29
| ~ spl32_32 ),
inference(forward_demodulation,[],[f268,f281]) ).
tff(f268,plain,
( ~ f6(bG19)
| spl32_29 ),
inference(avatar_component_clause,[],[f266]) ).
tff(f2523,plain,
( spl32_118
| ~ spl32_30
| ~ spl32_32 ),
inference(avatar_split_clause,[],[f2521,f279,f270,f2449]) ).
tff(f2521,plain,
( f6($true)
| ~ spl32_30
| ~ spl32_32 ),
inference(trivial_inequality_removal,[],[f2520]) ).
tff(f2520,plain,
( ( $true != $true )
| f6($true)
| ~ spl32_30
| ~ spl32_32 ),
inference(forward_demodulation,[],[f2519,f272]) ).
tff(f2519,plain,
( f6($true)
| ( $true != bG20 )
| ~ spl32_32 ),
inference(forward_demodulation,[],[f95,f281]) ).
tff(f2518,plain,
( spl32_118
| ~ spl32_29
| ~ spl32_32
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2478,f437,f279,f266,f2449]) ).
tff(f2478,plain,
( f6($true)
| ~ spl32_29
| ~ spl32_32
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2477]) ).
tff(f2477,plain,
( ( $true = $false )
| f6($true)
| ~ spl32_29
| ~ spl32_32
| ~ spl32_67 ),
inference(forward_demodulation,[],[f2472,f281]) ).
tff(f2472,plain,
( f6($true)
| ( $false = bG19 )
| ~ spl32_29
| ~ spl32_67 ),
inference(superposition,[],[f267,f438]) ).
tff(f267,plain,
( f6(bG19)
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f266]) ).
tff(f2510,plain,
( ~ spl32_34
| spl32_112
| ~ spl32_85 ),
inference(avatar_split_clause,[],[f2487,f665,f1431,f288]) ).
tff(f2496,plain,
( spl32_119
| ~ spl32_31
| ~ spl32_34 ),
inference(avatar_split_clause,[],[f2491,f288,f275,f2493]) ).
tff(f2491,plain,
( f7($true)
| ~ spl32_31
| ~ spl32_34 ),
inference(forward_demodulation,[],[f276,f290]) ).
tff(f276,plain,
( f7(bG18)
| ~ spl32_31 ),
inference(avatar_component_clause,[],[f275]) ).
tff(f2490,plain,
( spl32_31
| ~ spl32_32 ),
inference(avatar_split_clause,[],[f2489,f279,f275]) ).
tff(f2489,plain,
( f7(bG18)
| ~ spl32_32 ),
inference(trivial_inequality_removal,[],[f2488]) ).
tff(f2488,plain,
( ( $true != $true )
| f7(bG18)
| ~ spl32_32 ),
inference(forward_demodulation,[],[f97,f281]) ).
tff(f2486,plain,
( ~ spl32_32
| spl32_112
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f2465,f660,f1431,f279]) ).
tff(f2462,plain,
( ~ spl32_64
| ~ spl32_104 ),
inference(avatar_contradiction_clause,[],[f2461]) ).
tff(f2461,plain,
( $false
| ~ spl32_64
| ~ spl32_104 ),
inference(trivial_inequality_removal,[],[f2460]) ).
tff(f2460,plain,
( ( $true = $false )
| ~ spl32_64
| ~ spl32_104 ),
inference(forward_demodulation,[],[f425,f773]) ).
tff(f2453,plain,
( ~ spl32_66
| spl32_112
| ~ spl32_106 ),
inference(avatar_split_clause,[],[f2440,f781,f1431,f432]) ).
tff(f2440,plain,
( f7($false)
| ( $true != bG1 )
| ~ spl32_106 ),
inference(forward_demodulation,[],[f133,f783]) ).
tff(f2452,plain,
( ~ spl32_118
| spl32_63
| ~ spl32_66 ),
inference(avatar_split_clause,[],[f2445,f432,f419,f2449]) ).
tff(f2445,plain,
( ~ f6($true)
| spl32_63
| ~ spl32_66 ),
inference(superposition,[],[f421,f434]) ).
tff(f421,plain,
( ~ f6(bG1)
| spl32_63 ),
inference(avatar_component_clause,[],[f419]) ).
tff(f2439,plain,
( ~ spl32_111
| spl32_63
| ~ spl32_105 ),
inference(avatar_split_clause,[],[f904,f776,f419,f1426]) ).
tff(f904,plain,
( ~ f6($false)
| spl32_63
| ~ spl32_105 ),
inference(superposition,[],[f421,f778]) ).
tff(f2404,plain,
( ~ spl32_30
| spl32_111
| ~ spl32_83 ),
inference(avatar_split_clause,[],[f2379,f655,f1426,f270]) ).
tff(f2394,plain,
( ~ spl32_117
| spl32_23
| ~ spl32_26 ),
inference(avatar_split_clause,[],[f2392,f252,f239,f2385]) ).
tff(f2392,plain,
( ~ f5($true)
| spl32_23
| ~ spl32_26 ),
inference(forward_demodulation,[],[f241,f254]) ).
tff(f241,plain,
( ~ f5(bG22)
| spl32_23 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f2393,plain,
( spl32_117
| ~ spl32_27
| ~ spl32_30 ),
inference(avatar_split_clause,[],[f2383,f270,f257,f2385]) ).
tff(f2383,plain,
( f5($true)
| ~ spl32_27
| ~ spl32_30 ),
inference(forward_demodulation,[],[f258,f272]) ).
tff(f258,plain,
( f5(bG20)
| ~ spl32_27 ),
inference(avatar_component_clause,[],[f257]) ).
tff(f2388,plain,
( spl32_117
| ~ spl32_23
| ~ spl32_26
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f2358,f437,f252,f239,f2385]) ).
tff(f2358,plain,
( f5($true)
| ~ spl32_23
| ~ spl32_26
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f2357]) ).
tff(f2357,plain,
( ( $true = $false )
| f5($true)
| ~ spl32_23
| ~ spl32_26
| ~ spl32_67 ),
inference(forward_demodulation,[],[f2352,f254]) ).
tff(f2352,plain,
( f5($true)
| ( $false = bG22 )
| ~ spl32_23
| ~ spl32_67 ),
inference(superposition,[],[f240,f438]) ).
tff(f240,plain,
( f5(bG22)
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f239]) ).
tff(f2382,plain,
( spl32_27
| ~ spl32_28 ),
inference(avatar_split_clause,[],[f2381,f261,f257]) ).
tff(f2381,plain,
( f5(bG20)
| ~ spl32_28 ),
inference(trivial_inequality_removal,[],[f2380]) ).
tff(f2380,plain,
( ( $true != $true )
| f5(bG20)
| ~ spl32_28 ),
inference(forward_demodulation,[],[f93,f263]) ).
tff(f2378,plain,
( ~ spl32_28
| spl32_110
| ~ spl32_82 ),
inference(avatar_split_clause,[],[f2367,f650,f1421,f261]) ).
tff(f2367,plain,
( f5($false)
| ( $true != bG21 )
| ~ spl32_82 ),
inference(forward_demodulation,[],[f93,f652]) ).
tff(f2370,plain,
( spl32_25
| ~ spl32_26 ),
inference(avatar_split_clause,[],[f2369,f252,f248]) ).
tff(f2366,plain,
( ~ spl32_26
| spl32_110
| ~ spl32_81 ),
inference(avatar_split_clause,[],[f2347,f645,f1421,f252]) ).
tff(f2346,plain,
( ~ spl32_110
| spl32_57
| ~ spl32_102 ),
inference(avatar_split_clause,[],[f892,f761,f392,f1421]) ).
tff(f892,plain,
( ~ f5($false)
| spl32_57
| ~ spl32_102 ),
inference(superposition,[],[f394,f763]) ).
tff(f2322,plain,
( ~ spl32_22
| spl32_21 ),
inference(avatar_split_clause,[],[f87,f230,f234]) ).
tff(f87,plain,
( f4(bG23)
| ( $true != bG24 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
( ( f4(bG23)
| ( $true != bG24 ) )
& ( ( $true = bG24 )
| ~ f4(bG23) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
( f4(bG23)
<=> ( $true = bG24 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG24])]) ).
tff(f2308,plain,
( spl32_100
| ~ spl32_22
| ~ spl32_24 ),
inference(avatar_split_clause,[],[f2305,f243,f234,f750]) ).
tff(f2305,plain,
( f4($true)
| ~ spl32_22
| ~ spl32_24 ),
inference(forward_demodulation,[],[f2186,f245]) ).
tff(f2186,plain,
( f4(bG23)
| ~ spl32_22 ),
inference(trivial_inequality_removal,[],[f2185]) ).
tff(f2185,plain,
( ( $true != $true )
| f4(bG23)
| ~ spl32_22 ),
inference(forward_demodulation,[],[f87,f236]) ).
tff(f2292,plain,
( spl32_75
| ~ spl32_19
| ~ spl32_78 ),
inference(avatar_split_clause,[],[f2288,f630,f221,f613]) ).
tff(f2288,plain,
( f3($false)
| ~ spl32_19
| ~ spl32_78 ),
inference(superposition,[],[f222,f632]) ).
tff(f2237,plain,
( spl32_116
| spl32_107
| ~ spl32_108 ),
inference(avatar_split_clause,[],[f2012,f911,f793,f2235]) ).
tff(f911,plain,
( spl32_108
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).
tff(f2012,plain,
( ! [X0: $o,X1: $o] :
( ~ f0((X0))
| ( (X0) = (X1) )
| ( $false = (X1) ) )
| spl32_107
| ~ spl32_108 ),
inference(superposition,[],[f794,f912]) ).
tff(f912,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl32_108 ),
inference(avatar_component_clause,[],[f911]) ).
tff(f794,plain,
( ~ f0($false)
| spl32_107 ),
inference(avatar_component_clause,[],[f793]) ).
tff(f2225,plain,
( ~ spl32_91
| spl32_47
| ~ spl32_94 ),
inference(avatar_split_clause,[],[f1645,f714,f347,f697]) ).
tff(f1645,plain,
( ~ f2($false)
| spl32_47
| ~ spl32_94 ),
inference(superposition,[],[f349,f716]) ).
tff(f349,plain,
( ~ f2(bG9)
| spl32_47 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f2205,plain,
( ~ spl32_22
| spl32_99
| ~ spl32_79 ),
inference(avatar_split_clause,[],[f1384,f635,f745,f234]) ).
tff(f635,plain,
( spl32_79
<=> ( $false = bG23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
tff(f1384,plain,
( f4($false)
| ( $true != bG24 )
| ~ spl32_79 ),
inference(forward_demodulation,[],[f87,f637]) ).
tff(f637,plain,
( ( $false = bG23 )
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f635]) ).
tff(f2191,plain,
( spl32_21
| ~ spl32_22 ),
inference(avatar_split_clause,[],[f2186,f234,f230]) ).
tff(f2180,plain,
( ~ spl32_24
| spl32_110
| ~ spl32_80 ),
inference(avatar_split_clause,[],[f2136,f640,f1421,f243]) ).
tff(f2179,plain,
( ~ spl32_52
| spl32_99
| ~ spl32_97 ),
inference(avatar_split_clause,[],[f2125,f733,f745,f369]) ).
tff(f2125,plain,
( f4($false)
| ( $true != bG8 )
| ~ spl32_97 ),
inference(forward_demodulation,[],[f119,f735]) ).
tff(f2159,plain,
( spl32_99
| ~ spl32_52
| ~ spl32_97 ),
inference(avatar_split_clause,[],[f2138,f733,f369,f745]) ).
tff(f2138,plain,
( f4($false)
| ~ spl32_52
| ~ spl32_97 ),
inference(trivial_inequality_removal,[],[f2137]) ).
tff(f2137,plain,
( ( $true != $true )
| f4($false)
| ~ spl32_52
| ~ spl32_97 ),
inference(forward_demodulation,[],[f2125,f371]) ).
tff(f2133,plain,
( ~ spl32_52
| ~ spl32_96 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
tff(f2132,plain,
( $false
| ~ spl32_52
| ~ spl32_96 ),
inference(trivial_inequality_removal,[],[f2131]) ).
tff(f2131,plain,
( ( $true = $false )
| ~ spl32_52
| ~ spl32_96 ),
inference(forward_demodulation,[],[f371,f730]) ).
tff(f2129,plain,
( ~ spl32_56
| ~ spl32_98 ),
inference(avatar_contradiction_clause,[],[f2128]) ).
tff(f2128,plain,
( $false
| ~ spl32_56
| ~ spl32_98 ),
inference(trivial_inequality_removal,[],[f2127]) ).
tff(f2127,plain,
( ( $true = $false )
| ~ spl32_56
| ~ spl32_98 ),
inference(forward_demodulation,[],[f389,f740]) ).
tff(f2118,plain,
( spl32_99
| ~ spl32_21
| ~ spl32_79 ),
inference(avatar_split_clause,[],[f1388,f635,f230,f745]) ).
tff(f1388,plain,
( f4($false)
| ~ spl32_21
| ~ spl32_79 ),
inference(forward_demodulation,[],[f231,f637]) ).
tff(f231,plain,
( f4(bG23)
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f230]) ).
tff(f2110,plain,
( ~ spl32_99
| spl32_51
| ~ spl32_97 ),
inference(avatar_split_clause,[],[f882,f733,f365,f745]) ).
tff(f882,plain,
( ~ f4($false)
| spl32_51
| ~ spl32_97 ),
inference(superposition,[],[f367,f735]) ).
tff(f2108,plain,
( ~ spl32_99
| spl32_55
| ~ spl32_101 ),
inference(avatar_split_clause,[],[f888,f756,f383,f745]) ).
tff(f888,plain,
( ~ f4($false)
| spl32_55
| ~ spl32_101 ),
inference(superposition,[],[f385,f758]) ).
tff(f2103,plain,
( ~ spl32_75
| spl32_49
| ~ spl32_96 ),
inference(avatar_split_clause,[],[f878,f728,f356,f613]) ).
tff(f878,plain,
( ~ f3($false)
| spl32_49
| ~ spl32_96 ),
inference(superposition,[],[f358,f730]) ).
tff(f2037,plain,
( spl32_115
| ~ spl32_2
| ~ spl32_8
| ~ spl32_108 ),
inference(avatar_split_clause,[],[f1775,f911,f171,f143,f2035]) ).
tff(f171,plain,
( spl32_8
<=> ( $true = bG31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
tff(f1775,plain,
( ! [X0: $o] :
( f0((X0))
| ( $false = (X0) ) )
| ~ spl32_2
| ~ spl32_8
| ~ spl32_108 ),
inference(trivial_inequality_removal,[],[f1774]) ).
tff(f1774,plain,
( ! [X0: $o] :
( ( $true = $false )
| f0((X0))
| ( $false = (X0) ) )
| ~ spl32_2
| ~ spl32_8
| ~ spl32_108 ),
inference(forward_demodulation,[],[f1029,f173]) ).
tff(f173,plain,
( ( $true = bG31 )
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f1029,plain,
( ! [X0: $o] :
( f0((X0))
| ( $false = (X0) )
| ( $false = bG31 ) )
| ~ spl32_2
| ~ spl32_108 ),
inference(superposition,[],[f145,f912]) ).
tff(f2033,plain,
( ~ spl32_95
| spl32_45
| ~ spl32_48
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1844,f437,f351,f338,f722]) ).
tff(f1844,plain,
( ~ f2($true)
| spl32_45
| ~ spl32_48
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1843]) ).
tff(f1843,plain,
( ( $true = $false )
| ~ f2($true)
| spl32_45
| ~ spl32_48
| ~ spl32_67 ),
inference(forward_demodulation,[],[f463,f353]) ).
tff(f463,plain,
( ~ f2($true)
| ( $false = bG10 )
| spl32_45
| ~ spl32_67 ),
inference(superposition,[],[f340,f438]) ).
tff(f340,plain,
( ~ f2(bG10)
| spl32_45 ),
inference(avatar_component_clause,[],[f338]) ).
tff(f2031,plain,
( ~ spl32_109
| spl32_15
| ~ spl32_18
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1691,f437,f216,f203,f1401]) ).
tff(f1691,plain,
( ~ f3($true)
| spl32_15
| ~ spl32_18
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1690]) ).
tff(f1690,plain,
( ( $true = $false )
| ~ f3($true)
| spl32_15
| ~ spl32_18
| ~ spl32_67 ),
inference(forward_demodulation,[],[f495,f218]) ).
tff(f495,plain,
( ~ f3($true)
| ( $false = bG26 )
| spl32_15
| ~ spl32_67 ),
inference(superposition,[],[f205,f438]) ).
tff(f2023,plain,
( ~ spl32_14
| spl32_95
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f1667,f207,f722,f198]) ).
tff(f1667,plain,
( f2($true)
| ( $true != bG28 )
| ~ spl32_16 ),
inference(forward_demodulation,[],[f79,f209]) ).
tff(f2022,plain,
( ~ spl32_40
| spl32_107
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f1440,f685,f793,f315]) ).
tff(f1440,plain,
( f0($false)
| ( $true != bG14 )
| ~ spl32_89 ),
inference(forward_demodulation,[],[f107,f687]) ).
tff(f2021,plain,
( ~ spl32_10
| spl32_70
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f567,f189,f573,f180]) ).
tff(f180,plain,
( spl32_10
<=> ( $true = bG30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
tff(f567,plain,
( f1($true)
| ( $true != bG30 )
| ~ spl32_12 ),
inference(forward_demodulation,[],[f75,f191]) ).
tff(f191,plain,
( ( $true = bG29 )
| ~ spl32_12 ),
inference(avatar_component_clause,[],[f189]) ).
tff(f75,plain,
( f1(bG29)
| ( $true != bG30 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( ( f1(bG29)
| ( $true != bG30 ) )
& ( ( $true = bG30 )
| ~ f1(bG29) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
( f1(bG29)
<=> ( $true = bG30 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG30])]) ).
tff(f2020,plain,
( ~ spl32_46
| spl32_45 ),
inference(avatar_split_clause,[],[f113,f338,f342]) ).
tff(f342,plain,
( spl32_46
<=> ( $true = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
tff(f113,plain,
( f2(bG10)
| ( $true != bG11 ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
( ( f2(bG10)
| ( $true != bG11 ) )
& ( ( $true = bG11 )
| ~ f2(bG10) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
( f2(bG10)
<=> ( $true = bG11 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG11])]) ).
tff(f2018,plain,
( ~ spl32_44
| spl32_43 ),
inference(avatar_split_clause,[],[f111,f329,f333]) ).
tff(f111,plain,
( f2(bG11)
| ( $true != bG12 ) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
( ( f2(bG11)
| ( $true != bG12 ) )
& ( ( $true = bG12 )
| ~ f2(bG11) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( f2(bG11)
<=> ( $true = bG12 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG12])]) ).
tff(f2017,plain,
( ~ spl32_42
| spl32_41 ),
inference(avatar_split_clause,[],[f109,f320,f324]) ).
tff(f109,plain,
( f1(bG12)
| ( $true != bG13 ) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
( ( f1(bG12)
| ( $true != bG13 ) )
& ( ( $true = bG13 )
| ~ f1(bG12) ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f18,plain,
( f1(bG12)
<=> ( $true = bG13 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG13])]) ).
tff(f2016,plain,
( ~ spl32_40
| spl32_39 ),
inference(avatar_split_clause,[],[f107,f311,f315]) ).
tff(f2011,plain,
( ~ spl32_38
| spl32_37 ),
inference(avatar_split_clause,[],[f105,f302,f306]) ).
tff(f105,plain,
( f0(bG14)
| ( $true != bG15 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
( ( f0(bG14)
| ( $true != bG15 ) )
& ( ( $true = bG15 )
| ~ f0(bG14) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f20,plain,
( f0(bG14)
<=> ( $true = bG15 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG15])]) ).
tff(f1986,plain,
( spl32_69
| ~ spl32_12
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f1950,f601,f189,f547]) ).
tff(f601,plain,
( spl32_73
<=> ( $false = bG28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
tff(f1950,plain,
( f1($false)
| ~ spl32_12
| ~ spl32_73 ),
inference(trivial_inequality_removal,[],[f1949]) ).
tff(f1949,plain,
( ( $true != $true )
| f1($false)
| ~ spl32_12
| ~ spl32_73 ),
inference(forward_demodulation,[],[f1654,f191]) ).
tff(f1654,plain,
( f1($false)
| ( $true != bG29 )
| ~ spl32_73 ),
inference(forward_demodulation,[],[f77,f603]) ).
tff(f603,plain,
( ( $false = bG28 )
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f601]) ).
tff(f1984,plain,
( spl32_11
| ~ spl32_12 ),
inference(avatar_split_clause,[],[f1948,f189,f185]) ).
tff(f1948,plain,
( f1(bG28)
| ~ spl32_12 ),
inference(trivial_inequality_removal,[],[f1947]) ).
tff(f1947,plain,
( ( $true != $true )
| f1(bG28)
| ~ spl32_12 ),
inference(forward_demodulation,[],[f77,f191]) ).
tff(f1970,plain,
( spl32_70
| ~ spl32_7
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f1924,f180,f167,f573]) ).
tff(f167,plain,
( spl32_7
<=> f1(bG30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
tff(f1924,plain,
( f1($true)
| ~ spl32_7
| ~ spl32_10 ),
inference(forward_demodulation,[],[f168,f182]) ).
tff(f182,plain,
( ( $true = bG30 )
| ~ spl32_10 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f168,plain,
( f1(bG30)
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f1953,plain,
( ~ spl32_69
| spl32_41
| ~ spl32_67
| ~ spl32_90 ),
inference(avatar_split_clause,[],[f1885,f690,f437,f320,f547]) ).
tff(f1939,plain,
( spl32_70
| ~ spl32_12
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f1868,f198,f189,f573]) ).
tff(f1868,plain,
( f1($true)
| ~ spl32_12
| ~ spl32_14 ),
inference(trivial_inequality_removal,[],[f1867]) ).
tff(f1867,plain,
( ( $true != $true )
| f1($true)
| ~ spl32_12
| ~ spl32_14 ),
inference(forward_demodulation,[],[f1670,f191]) ).
tff(f1670,plain,
( f1($true)
| ( $true != bG29 )
| ~ spl32_14 ),
inference(forward_demodulation,[],[f77,f200]) ).
tff(f1923,plain,
( ~ spl32_2
| ~ spl32_8
| ~ spl32_114 ),
inference(avatar_contradiction_clause,[],[f1922]) ).
tff(f1922,plain,
( $false
| ~ spl32_2
| ~ spl32_8
| ~ spl32_114 ),
inference(trivial_inequality_removal,[],[f1921]) ).
tff(f1921,plain,
( ( $true = $false )
| ~ spl32_2
| ~ spl32_8
| ~ spl32_114 ),
inference(forward_demodulation,[],[f173,f1854]) ).
tff(f1893,plain,
( ~ spl32_107
| ~ spl32_68
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f1879,f675,f540,f793]) ).
tff(f675,plain,
( spl32_87
<=> ( $false = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).
tff(f1879,plain,
( ~ f0($false)
| ~ spl32_68
| ~ spl32_87 ),
inference(duplicate_literal_removal,[],[f1438]) ).
tff(f1438,plain,
( ~ f0($false)
| ~ f0($false)
| ~ spl32_68
| ~ spl32_87 ),
inference(forward_demodulation,[],[f874,f677]) ).
tff(f677,plain,
( ( $false = bG15 )
| ~ spl32_87 ),
inference(avatar_component_clause,[],[f675]) ).
tff(f874,plain,
( ~ f0($false)
| ~ f0(bG15)
| ~ spl32_68 ),
inference(forward_demodulation,[],[f137,f542]) ).
tff(f542,plain,
( ( $false = bG31 )
| ~ spl32_68 ),
inference(avatar_component_clause,[],[f540]) ).
tff(f137,plain,
( ~ f0(bG31)
| ~ f0(bG15) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
( ( ~ f0(bG31)
| ~ f0(bG15) )
& ( f0(bG31)
| f0(bG15) ) ),
inference(nnf_transformation,[],[f38]) ).
tff(f38,plain,
( f0(bG15)
<~> f0(bG31) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
~ ( f0(bG15)
<=> f0(bG31) ),
inference(fool_elimination,[],[f2,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5]) ).
tff(f36,plain,
( f1(bG30)
<=> ( $true = bG31 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG31])]) ).
tff(f2,negated_conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x)))))))))))))))) != f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(f7(x)))))))))))))))) = f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(f7(f7(f7(x)))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski8) ).
tff(f1870,plain,
( ~ spl32_69
| spl32_7
| ~ spl32_67
| ~ spl32_71 ),
inference(avatar_split_clause,[],[f1820,f584,f437,f167,f547]) ).
tff(f584,plain,
( spl32_71
<=> ( $false = bG30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).
tff(f1820,plain,
( ~ f1($false)
| spl32_7
| ~ spl32_67
| ~ spl32_71 ),
inference(forward_demodulation,[],[f169,f1794]) ).
tff(f1794,plain,
( ( $false = bG30 )
| ~ spl32_67
| ~ spl32_71 ),
inference(trivial_inequality_removal,[],[f920]) ).
tff(f920,plain,
( ( $true = $false )
| ( $false = bG30 )
| ~ spl32_67
| ~ spl32_71 ),
inference(superposition,[],[f586,f438]) ).
tff(f586,plain,
( ( $false = bG30 )
| ~ spl32_71 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f169,plain,
( ~ f1(bG30)
| spl32_7 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f1864,plain,
( spl32_70
| ~ spl32_11
| ~ spl32_14 ),
inference(avatar_split_clause,[],[f1734,f198,f185,f573]) ).
tff(f1734,plain,
( f1($true)
| ~ spl32_11
| ~ spl32_14 ),
inference(forward_demodulation,[],[f186,f200]) ).
tff(f186,plain,
( f1(bG28)
| ~ spl32_11 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f1814,plain,
( ~ spl32_37
| ~ spl32_40
| ~ spl32_114 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
tff(f1813,plain,
( $false
| ~ spl32_37
| ~ spl32_40
| ~ spl32_114 ),
inference(trivial_inequality_removal,[],[f1812]) ).
tff(f1812,plain,
( ( $true = $false )
| ~ spl32_37
| ~ spl32_40
| ~ spl32_114 ),
inference(forward_demodulation,[],[f317,f1588]) ).
tff(f1781,plain,
( ~ spl32_113
| ~ spl32_8
| ~ spl32_38 ),
inference(avatar_split_clause,[],[f1780,f306,f171,f1475]) ).
tff(f1780,plain,
( ~ f0($true)
| ~ spl32_8
| ~ spl32_38 ),
inference(duplicate_literal_removal,[],[f1779]) ).
tff(f1779,plain,
( ~ f0($true)
| ~ f0($true)
| ~ spl32_8
| ~ spl32_38 ),
inference(forward_demodulation,[],[f1776,f308]) ).
tff(f1776,plain,
( ~ f0($true)
| ~ f0(bG15)
| ~ spl32_8 ),
inference(forward_demodulation,[],[f137,f173]) ).
tff(f1778,plain,
( spl32_113
| ~ spl32_2
| ~ spl32_8 ),
inference(avatar_split_clause,[],[f545,f171,f143,f1475]) ).
tff(f545,plain,
( f0($true)
| ~ spl32_2
| ~ spl32_8 ),
inference(superposition,[],[f145,f173]) ).
tff(f1771,plain,
( ~ spl32_8
| ~ spl32_68 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
tff(f1770,plain,
( $false
| ~ spl32_8
| ~ spl32_68 ),
inference(trivial_inequality_removal,[],[f1769]) ).
tff(f1769,plain,
( ( $true = $false )
| ~ spl32_8
| ~ spl32_68 ),
inference(forward_demodulation,[],[f173,f542]) ).
tff(f1765,plain,
( ~ spl32_70
| spl32_7
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f594,f180,f167,f573]) ).
tff(f594,plain,
( ~ f1($true)
| spl32_7
| ~ spl32_10 ),
inference(superposition,[],[f169,f182]) ).
tff(f1740,plain,
( ~ spl32_10
| ~ spl32_71 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
tff(f1739,plain,
( $false
| ~ spl32_10
| ~ spl32_71 ),
inference(trivial_inequality_removal,[],[f1738]) ).
tff(f1738,plain,
( ( $true = $false )
| ~ spl32_10
| ~ spl32_71 ),
inference(forward_demodulation,[],[f182,f586]) ).
tff(f1733,plain,
( ~ spl32_12
| ~ spl32_72 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
tff(f1732,plain,
( $false
| ~ spl32_12
| ~ spl32_72 ),
inference(trivial_inequality_removal,[],[f1731]) ).
tff(f1731,plain,
( ( $true = $false )
| ~ spl32_12
| ~ spl32_72 ),
inference(forward_demodulation,[],[f191,f598]) ).
tff(f1727,plain,
( ~ spl32_70
| spl32_11
| ~ spl32_14
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1669,f437,f198,f185,f573]) ).
tff(f1669,plain,
( ~ f1($true)
| spl32_11
| ~ spl32_14
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1668]) ).
tff(f1668,plain,
( ( $true = $false )
| ~ f1($true)
| spl32_11
| ~ spl32_14
| ~ spl32_67 ),
inference(forward_demodulation,[],[f499,f200]) ).
tff(f499,plain,
( ~ f1($true)
| ( $false = bG28 )
| spl32_11
| ~ spl32_67 ),
inference(superposition,[],[f187,f438]) ).
tff(f187,plain,
( ~ f1(bG28)
| spl32_11 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f1689,plain,
( spl32_17
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f1682,f216,f212]) ).
tff(f1682,plain,
( f3(bG25)
| ~ spl32_18 ),
inference(trivial_inequality_removal,[],[f1681]) ).
tff(f1683,plain,
( spl32_109
| ~ spl32_16
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f1677,f216,f207,f1401]) ).
tff(f1677,plain,
( f3($true)
| ~ spl32_16
| ~ spl32_18 ),
inference(trivial_inequality_removal,[],[f1676]) ).
tff(f1676,plain,
( ( $true != $true )
| f3($true)
| ~ spl32_16
| ~ spl32_18 ),
inference(forward_demodulation,[],[f1675,f209]) ).
tff(f1675,plain,
( f3($true)
| ( $true != bG27 )
| ~ spl32_18 ),
inference(forward_demodulation,[],[f81,f218]) ).
tff(f1679,plain,
( spl32_75
| ~ spl32_18
| ~ spl32_77 ),
inference(avatar_split_clause,[],[f1674,f625,f216,f613]) ).
tff(f1674,plain,
( f3($false)
| ~ spl32_18
| ~ spl32_77 ),
inference(trivial_inequality_removal,[],[f1673]) ).
tff(f1673,plain,
( ( $true != $true )
| f3($false)
| ~ spl32_18
| ~ spl32_77 ),
inference(forward_demodulation,[],[f1658,f218]) ).
tff(f1658,plain,
( f3($false)
| ( $true != bG26 )
| ~ spl32_77 ),
inference(forward_demodulation,[],[f83,f627]) ).
tff(f1665,plain,
( ~ spl32_14
| ~ spl32_73 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
tff(f1664,plain,
( $false
| ~ spl32_14
| ~ spl32_73 ),
inference(trivial_inequality_removal,[],[f1663]) ).
tff(f1663,plain,
( ( $true = $false )
| ~ spl32_14
| ~ spl32_73 ),
inference(forward_demodulation,[],[f200,f603]) ).
tff(f1662,plain,
( ~ spl32_18
| ~ spl32_76 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
tff(f1661,plain,
( $false
| ~ spl32_18
| ~ spl32_76 ),
inference(trivial_inequality_removal,[],[f1660]) ).
tff(f1660,plain,
( ( $true = $false )
| ~ spl32_18
| ~ spl32_76 ),
inference(forward_demodulation,[],[f218,f622]) ).
tff(f1649,plain,
( ~ spl32_91
| spl32_13
| ~ spl32_74 ),
inference(avatar_split_clause,[],[f802,f606,f194,f697]) ).
tff(f606,plain,
( spl32_74
<=> ( $false = bG27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
tff(f802,plain,
( ~ f2($false)
| spl32_13
| ~ spl32_74 ),
inference(superposition,[],[f196,f608]) ).
tff(f608,plain,
( ( $false = bG27 )
| ~ spl32_74 ),
inference(avatar_component_clause,[],[f606]) ).
tff(f196,plain,
( ~ f2(bG27)
| spl32_13 ),
inference(avatar_component_clause,[],[f194]) ).
tff(f1627,plain,
( ~ spl32_95
| spl32_13
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f611,f207,f194,f722]) ).
tff(f611,plain,
( ~ f2($true)
| spl32_13
| ~ spl32_16 ),
inference(superposition,[],[f196,f209]) ).
tff(f1623,plain,
( ~ spl32_95
| spl32_43
| ~ spl32_46
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1607,f437,f342,f329,f722]) ).
tff(f1607,plain,
( ~ f2($true)
| spl32_43
| ~ spl32_46
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1606]) ).
tff(f1606,plain,
( ( $true = $false )
| ~ f2($true)
| spl32_43
| ~ spl32_46
| ~ spl32_67 ),
inference(forward_demodulation,[],[f465,f344]) ).
tff(f344,plain,
( ( $true = bG11 )
| ~ spl32_46 ),
inference(avatar_component_clause,[],[f342]) ).
tff(f465,plain,
( ~ f2($true)
| ( $false = bG11 )
| spl32_43
| ~ spl32_67 ),
inference(superposition,[],[f331,f438]) ).
tff(f1602,plain,
( spl32_95
| ~ spl32_44
| ~ spl32_46 ),
inference(avatar_split_clause,[],[f1599,f342,f333,f722]) ).
tff(f1599,plain,
( f2($true)
| ~ spl32_44
| ~ spl32_46 ),
inference(trivial_inequality_removal,[],[f1598]) ).
tff(f1598,plain,
( ( $true != $true )
| f2($true)
| ~ spl32_44
| ~ spl32_46 ),
inference(forward_demodulation,[],[f1597,f335]) ).
tff(f1597,plain,
( f2($true)
| ( $true != bG12 )
| ~ spl32_46 ),
inference(forward_demodulation,[],[f111,f344]) ).
tff(f1595,plain,
( ~ spl32_46
| ~ spl32_92 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
tff(f1594,plain,
( $false
| ~ spl32_46
| ~ spl32_92 ),
inference(trivial_inequality_removal,[],[f1593]) ).
tff(f1593,plain,
( ( $true = $false )
| ~ spl32_46
| ~ spl32_92 ),
inference(forward_demodulation,[],[f344,f706]) ).
tff(f1590,plain,
( ~ spl32_91
| spl32_45
| ~ spl32_93 ),
inference(avatar_split_clause,[],[f869,f709,f338,f697]) ).
tff(f869,plain,
( ~ f2($false)
| spl32_45
| ~ spl32_93 ),
inference(superposition,[],[f340,f711]) ).
tff(f1587,plain,
( spl32_114
| ~ spl32_67
| spl32_113 ),
inference(avatar_split_clause,[],[f1533,f1475,f437,f1585]) ).
tff(f1533,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $false = (X0) ) )
| ~ spl32_67
| spl32_113 ),
inference(superposition,[],[f1476,f438]) ).
tff(f1542,plain,
( spl32_70
| ~ spl32_41
| ~ spl32_44 ),
inference(avatar_split_clause,[],[f1541,f333,f320,f573]) ).
tff(f1541,plain,
( f1($true)
| ~ spl32_41
| ~ spl32_44 ),
inference(forward_demodulation,[],[f321,f335]) ).
tff(f1540,plain,
( spl32_41
| ~ spl32_42 ),
inference(avatar_split_clause,[],[f1526,f324,f320]) ).
tff(f1526,plain,
( f1(bG12)
| ~ spl32_42 ),
inference(trivial_inequality_removal,[],[f1525]) ).
tff(f1525,plain,
( ( $true != $true )
| f1(bG12)
| ~ spl32_42 ),
inference(forward_demodulation,[],[f109,f326]) ).
tff(f1524,plain,
( ~ spl32_42
| spl32_69
| ~ spl32_90 ),
inference(avatar_split_clause,[],[f1488,f690,f547,f324]) ).
tff(f1488,plain,
( f1($false)
| ( $true != bG13 )
| ~ spl32_90 ),
inference(forward_demodulation,[],[f109,f692]) ).
tff(f1509,plain,
( ~ spl32_107
| ~ spl32_113
| ~ spl32_38
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f1501,f540,f306,f1475,f793]) ).
tff(f1501,plain,
( ~ f0($true)
| ~ f0($false)
| ~ spl32_38
| ~ spl32_68 ),
inference(forward_demodulation,[],[f874,f308]) ).
tff(f1496,plain,
( spl32_39
| ~ spl32_40 ),
inference(avatar_split_clause,[],[f1490,f315,f311]) ).
tff(f1487,plain,
( ~ spl32_40
| spl32_107
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f1440,f685,f793,f315]) ).
tff(f1479,plain,
( spl32_37
| ~ spl32_38 ),
inference(avatar_split_clause,[],[f1473,f306,f302]) ).
tff(f1473,plain,
( f0(bG14)
| ~ spl32_38 ),
inference(trivial_inequality_removal,[],[f1472]) ).
tff(f1472,plain,
( ( $true != $true )
| f0(bG14)
| ~ spl32_38 ),
inference(forward_demodulation,[],[f105,f308]) ).
tff(f1478,plain,
( spl32_113
| ~ spl32_1
| ~ spl32_38
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1462,f437,f306,f139,f1475]) ).
tff(f139,plain,
( spl32_1
<=> f0(bG15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
tff(f1462,plain,
( f0($true)
| ~ spl32_1
| ~ spl32_38
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1461]) ).
tff(f1461,plain,
( ( $true = $false )
| f0($true)
| ~ spl32_1
| ~ spl32_38
| ~ spl32_67 ),
inference(forward_demodulation,[],[f1456,f308]) ).
tff(f1456,plain,
( f0($true)
| ( $false = bG15 )
| ~ spl32_1
| ~ spl32_67 ),
inference(superposition,[],[f141,f438]) ).
tff(f141,plain,
( f0(bG15)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f1471,plain,
( ~ spl32_38
| spl32_107
| ~ spl32_88 ),
inference(avatar_split_clause,[],[f1451,f680,f793,f306]) ).
tff(f1451,plain,
( f0($false)
| ( $true != bG15 )
| ~ spl32_88 ),
inference(forward_demodulation,[],[f105,f682]) ).
tff(f1463,plain,
( ~ spl32_107
| spl32_2
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f1449,f540,f143,f793]) ).
tff(f1449,plain,
( ~ f0($false)
| spl32_2
| ~ spl32_68 ),
inference(forward_demodulation,[],[f144,f542]) ).
tff(f144,plain,
( ~ f0(bG31)
| spl32_2 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f1450,plain,
( spl32_107
| ~ spl32_1
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f875,f675,f139,f793]) ).
tff(f875,plain,
( f0($false)
| ~ spl32_1
| ~ spl32_87 ),
inference(forward_demodulation,[],[f141,f677]) ).
tff(f1443,plain,
( ~ spl32_40
| ~ spl32_88 ),
inference(avatar_contradiction_clause,[],[f1442]) ).
tff(f1442,plain,
( $false
| ~ spl32_40
| ~ spl32_88 ),
inference(trivial_inequality_removal,[],[f1441]) ).
tff(f1441,plain,
( ( $true = $false )
| ~ spl32_40
| ~ spl32_88 ),
inference(forward_demodulation,[],[f317,f682]) ).
tff(f1435,plain,
( ~ spl32_107
| spl32_39
| ~ spl32_89 ),
inference(avatar_split_clause,[],[f858,f685,f311,f793]) ).
tff(f858,plain,
( ~ f0($false)
| spl32_39
| ~ spl32_89 ),
inference(superposition,[],[f313,f687]) ).
tff(f1434,plain,
( ~ spl32_112
| spl32_31
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f838,f660,f275,f1431]) ).
tff(f838,plain,
( ~ f7($false)
| spl32_31
| ~ spl32_84 ),
inference(superposition,[],[f277,f662]) ).
tff(f1429,plain,
( ~ spl32_111
| spl32_29
| ~ spl32_83 ),
inference(avatar_split_clause,[],[f834,f655,f266,f1426]) ).
tff(f834,plain,
( ~ f6($false)
| spl32_29
| ~ spl32_83 ),
inference(superposition,[],[f268,f657]) ).
tff(f1424,plain,
( ~ spl32_110
| spl32_23
| ~ spl32_80 ),
inference(avatar_split_clause,[],[f822,f640,f239,f1421]) ).
tff(f822,plain,
( ~ f5($false)
| spl32_23
| ~ spl32_80 ),
inference(superposition,[],[f241,f642]) ).
tff(f1404,plain,
( ~ spl32_109
| spl32_19
| ~ spl32_22
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f1390,f437,f234,f221,f1401]) ).
tff(f1390,plain,
( ~ f3($true)
| spl32_19
| ~ spl32_22
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f1389]) ).
tff(f1389,plain,
( ( $true = $false )
| ~ f3($true)
| spl32_19
| ~ spl32_22
| ~ spl32_67 ),
inference(forward_demodulation,[],[f491,f236]) ).
tff(f491,plain,
( ~ f3($true)
| ( $false = bG24 )
| spl32_19
| ~ spl32_67 ),
inference(superposition,[],[f223,f438]) ).
tff(f1387,plain,
( ~ spl32_22
| ~ spl32_78 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
tff(f1386,plain,
( $false
| ~ spl32_22
| ~ spl32_78 ),
inference(trivial_inequality_removal,[],[f1385]) ).
tff(f1385,plain,
( ( $true = $false )
| ~ spl32_22
| ~ spl32_78 ),
inference(forward_demodulation,[],[f236,f632]) ).
tff(f1381,plain,
( ~ spl32_99
| spl32_21
| ~ spl32_79 ),
inference(avatar_split_clause,[],[f818,f635,f230,f745]) ).
tff(f818,plain,
( ~ f4($false)
| spl32_21
| ~ spl32_79 ),
inference(superposition,[],[f232,f637]) ).
tff(f1364,plain,
( ~ spl32_16
| ~ spl32_74 ),
inference(avatar_contradiction_clause,[],[f1363]) ).
tff(f1363,plain,
( $false
| ~ spl32_16
| ~ spl32_74 ),
inference(trivial_inequality_removal,[],[f1362]) ).
tff(f1362,plain,
( ( $true = $false )
| ~ spl32_16
| ~ spl32_74 ),
inference(forward_demodulation,[],[f209,f608]) ).
tff(f1359,plain,
( ~ spl32_75
| spl32_15
| ~ spl32_76 ),
inference(avatar_split_clause,[],[f806,f620,f203,f613]) ).
tff(f806,plain,
( ~ f3($false)
| spl32_15
| ~ spl32_76 ),
inference(superposition,[],[f205,f622]) ).
tff(f919,plain,
( ~ spl32_10
| spl32_69
| spl32_12
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f553,f437,f189,f547,f180]) ).
tff(f553,plain,
( f1($false)
| ( $true != bG30 )
| spl32_12
| ~ spl32_67 ),
inference(forward_demodulation,[],[f75,f509]) ).
tff(f509,plain,
( ( $false = bG29 )
| spl32_12
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f500]) ).
tff(f500,plain,
( ( $true != $true )
| ( $false = bG29 )
| spl32_12
| ~ spl32_67 ),
inference(superposition,[],[f190,f438]) ).
tff(f190,plain,
( ( $true != bG29 )
| spl32_12 ),
inference(avatar_component_clause,[],[f189]) ).
tff(f914,plain,
( ~ spl32_69
| spl32_11
| ~ spl32_73 ),
inference(avatar_split_clause,[],[f799,f601,f185,f547]) ).
tff(f799,plain,
( ~ f1($false)
| spl32_11
| ~ spl32_73 ),
inference(superposition,[],[f187,f603]) ).
tff(f913,plain,
( spl32_108
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f440,f437,f911]) ).
tff(f440,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl32_67 ),
inference(superposition,[],[f438,f438]) ).
tff(f873,plain,
( ~ spl32_107
| spl32_1
| ~ spl32_87 ),
inference(avatar_split_clause,[],[f850,f675,f139,f793]) ).
tff(f850,plain,
( ~ f0($false)
| spl32_1
| ~ spl32_87 ),
inference(superposition,[],[f140,f677]) ).
tff(f140,plain,
( ~ f0(bG15)
| spl32_1 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f796,plain,
( spl32_107
| ~ spl32_2
| ~ spl32_68 ),
inference(avatar_split_clause,[],[f786,f540,f143,f793]) ).
tff(f786,plain,
( f0($false)
| ~ spl32_2
| ~ spl32_68 ),
inference(superposition,[],[f145,f542]) ).
tff(f784,plain,
( spl32_106
| spl32_6
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f538,f437,f162,f781]) ).
tff(f538,plain,
( ( $false = bG0 )
| spl32_6
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f443]) ).
tff(f443,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl32_6
| ~ spl32_67 ),
inference(superposition,[],[f164,f438]) ).
tff(f164,plain,
( ( $true != bG0 )
| spl32_6 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f779,plain,
( spl32_105
| spl32_66
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f537,f437,f432,f776]) ).
tff(f537,plain,
( ( $false = bG1 )
| spl32_66
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f444]) ).
tff(f444,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl32_66
| ~ spl32_67 ),
inference(superposition,[],[f433,f438]) ).
tff(f433,plain,
( ( $true != bG1 )
| spl32_66 ),
inference(avatar_component_clause,[],[f432]) ).
tff(f774,plain,
( spl32_104
| spl32_64
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f536,f437,f423,f771]) ).
tff(f536,plain,
( ( $false = bG2 )
| spl32_64
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f446]) ).
tff(f446,plain,
( ( $true != $true )
| ( $false = bG2 )
| spl32_64
| ~ spl32_67 ),
inference(superposition,[],[f424,f438]) ).
tff(f424,plain,
( ( $true != bG2 )
| spl32_64 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f769,plain,
( spl32_103
| spl32_62
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f535,f437,f414,f766]) ).
tff(f535,plain,
( ( $false = bG3 )
| spl32_62
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f448]) ).
tff(f448,plain,
( ( $true != $true )
| ( $false = bG3 )
| spl32_62
| ~ spl32_67 ),
inference(superposition,[],[f415,f438]) ).
tff(f415,plain,
( ( $true != bG3 )
| spl32_62 ),
inference(avatar_component_clause,[],[f414]) ).
tff(f764,plain,
( spl32_102
| spl32_60
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f534,f437,f405,f761]) ).
tff(f534,plain,
( ( $false = bG4 )
| spl32_60
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f450]) ).
tff(f450,plain,
( ( $true != $true )
| ( $false = bG4 )
| spl32_60
| ~ spl32_67 ),
inference(superposition,[],[f406,f438]) ).
tff(f406,plain,
( ( $true != bG4 )
| spl32_60 ),
inference(avatar_component_clause,[],[f405]) ).
tff(f759,plain,
( spl32_101
| spl32_58
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f533,f437,f396,f756]) ).
tff(f753,plain,
( ~ spl32_100
| spl32_53
| ~ spl32_56 ),
inference(avatar_split_clause,[],[f743,f387,f374,f750]) ).
tff(f743,plain,
( ~ f4($true)
| spl32_53
| ~ spl32_56 ),
inference(superposition,[],[f376,f389]) ).
tff(f748,plain,
( ~ spl32_56
| spl32_99
| spl32_58
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f742,f437,f396,f745,f387]) ).
tff(f741,plain,
( spl32_98
| spl32_56
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f532,f437,f387,f738]) ).
tff(f532,plain,
( ( $false = bG6 )
| spl32_56
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f454]) ).
tff(f454,plain,
( ( $true != $true )
| ( $false = bG6 )
| spl32_56
| ~ spl32_67 ),
inference(superposition,[],[f388,f438]) ).
tff(f388,plain,
( ( $true != bG6 )
| spl32_56 ),
inference(avatar_component_clause,[],[f387]) ).
tff(f736,plain,
( spl32_97
| spl32_54
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f531,f437,f378,f733]) ).
tff(f531,plain,
( ( $false = bG7 )
| spl32_54
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f456]) ).
tff(f456,plain,
( ( $true != $true )
| ( $false = bG7 )
| spl32_54
| ~ spl32_67 ),
inference(superposition,[],[f379,f438]) ).
tff(f379,plain,
( ( $true != bG7 )
| spl32_54 ),
inference(avatar_component_clause,[],[f378]) ).
tff(f731,plain,
( spl32_96
| spl32_52
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f530,f437,f369,f728]) ).
tff(f530,plain,
( ( $false = bG8 )
| spl32_52
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f458]) ).
tff(f458,plain,
( ( $true != $true )
| ( $false = bG8 )
| spl32_52
| ~ spl32_67 ),
inference(superposition,[],[f370,f438]) ).
tff(f370,plain,
( ( $true != bG8 )
| spl32_52 ),
inference(avatar_component_clause,[],[f369]) ).
tff(f725,plain,
( ~ spl32_95
| spl32_47
| ~ spl32_50 ),
inference(avatar_split_clause,[],[f719,f360,f347,f722]) ).
tff(f719,plain,
( ~ f2($true)
| spl32_47
| ~ spl32_50 ),
inference(superposition,[],[f349,f362]) ).
tff(f720,plain,
( ~ spl32_50
| spl32_75
| spl32_52
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f718,f437,f369,f613,f360]) ).
tff(f718,plain,
( f3($false)
| ( $true != bG9 )
| spl32_52
| ~ spl32_67 ),
inference(forward_demodulation,[],[f117,f530]) ).
tff(f717,plain,
( spl32_94
| spl32_50
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f529,f437,f360,f714]) ).
tff(f529,plain,
( ( $false = bG9 )
| spl32_50
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f460]) ).
tff(f460,plain,
( ( $true != $true )
| ( $false = bG9 )
| spl32_50
| ~ spl32_67 ),
inference(superposition,[],[f361,f438]) ).
tff(f361,plain,
( ( $true != bG9 )
| spl32_50 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f712,plain,
( spl32_93
| spl32_48
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f528,f437,f351,f709]) ).
tff(f528,plain,
( ( $false = bG10 )
| spl32_48
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f462]) ).
tff(f462,plain,
( ( $true != $true )
| ( $false = bG10 )
| spl32_48
| ~ spl32_67 ),
inference(superposition,[],[f352,f438]) ).
tff(f352,plain,
( ( $true != bG10 )
| spl32_48 ),
inference(avatar_component_clause,[],[f351]) ).
tff(f707,plain,
( spl32_92
| spl32_46
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f527,f437,f342,f704]) ).
tff(f527,plain,
( ( $false = bG11 )
| spl32_46
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f464]) ).
tff(f464,plain,
( ( $true != $true )
| ( $false = bG11 )
| spl32_46
| ~ spl32_67 ),
inference(superposition,[],[f343,f438]) ).
tff(f343,plain,
( ( $true != bG11 )
| spl32_46 ),
inference(avatar_component_clause,[],[f342]) ).
tff(f700,plain,
( ~ spl32_44
| spl32_91
| spl32_46
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f694,f437,f342,f697,f333]) ).
tff(f694,plain,
( f2($false)
| ( $true != bG12 )
| spl32_46
| ~ spl32_67 ),
inference(forward_demodulation,[],[f111,f527]) ).
tff(f693,plain,
( spl32_90
| spl32_44
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f526,f437,f333,f690]) ).
tff(f526,plain,
( ( $false = bG12 )
| spl32_44
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f466]) ).
tff(f466,plain,
( ( $true != $true )
| ( $false = bG12 )
| spl32_44
| ~ spl32_67 ),
inference(superposition,[],[f334,f438]) ).
tff(f334,plain,
( ( $true != bG12 )
| spl32_44 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f688,plain,
( spl32_89
| spl32_42
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f525,f437,f324,f685]) ).
tff(f525,plain,
( ( $false = bG13 )
| spl32_42
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f468]) ).
tff(f468,plain,
( ( $true != $true )
| ( $false = bG13 )
| spl32_42
| ~ spl32_67 ),
inference(superposition,[],[f325,f438]) ).
tff(f325,plain,
( ( $true != bG13 )
| spl32_42 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f683,plain,
( spl32_88
| spl32_40
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f524,f437,f315,f680]) ).
tff(f524,plain,
( ( $false = bG14 )
| spl32_40
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f470]) ).
tff(f678,plain,
( spl32_87
| spl32_38
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f523,f437,f306,f675]) ).
tff(f523,plain,
( ( $false = bG15 )
| spl32_38
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f472]) ).
tff(f472,plain,
( ( $true != $true )
| ( $false = bG15 )
| spl32_38
| ~ spl32_67 ),
inference(superposition,[],[f307,f438]) ).
tff(f307,plain,
( ( $true != bG15 )
| spl32_38 ),
inference(avatar_component_clause,[],[f306]) ).
tff(f673,plain,
( spl32_86
| spl32_5
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f522,f437,f157,f670]) ).
tff(f522,plain,
( ( $false = bG16 )
| spl32_5
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f475]) ).
tff(f475,plain,
( ( $true != $true )
| ( $false = bG16 )
| spl32_5
| ~ spl32_67 ),
inference(superposition,[],[f158,f438]) ).
tff(f158,plain,
( ( $true != bG16 )
| spl32_5 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f668,plain,
( spl32_85
| spl32_36
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f521,f437,f297,f665]) ).
tff(f521,plain,
( ( $false = bG17 )
| spl32_36
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f476]) ).
tff(f476,plain,
( ( $true != $true )
| ( $false = bG17 )
| spl32_36
| ~ spl32_67 ),
inference(superposition,[],[f298,f438]) ).
tff(f298,plain,
( ( $true != bG17 )
| spl32_36 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f663,plain,
( spl32_84
| spl32_34
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f520,f437,f288,f660]) ).
tff(f520,plain,
( ( $false = bG18 )
| spl32_34
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f478]) ).
tff(f478,plain,
( ( $true != $true )
| ( $false = bG18 )
| spl32_34
| ~ spl32_67 ),
inference(superposition,[],[f289,f438]) ).
tff(f289,plain,
( ( $true != bG18 )
| spl32_34 ),
inference(avatar_component_clause,[],[f288]) ).
tff(f658,plain,
( spl32_83
| spl32_32
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f519,f437,f279,f655]) ).
tff(f519,plain,
( ( $false = bG19 )
| spl32_32
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f480]) ).
tff(f480,plain,
( ( $true != $true )
| ( $false = bG19 )
| spl32_32
| ~ spl32_67 ),
inference(superposition,[],[f280,f438]) ).
tff(f280,plain,
( ( $true != bG19 )
| spl32_32 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f653,plain,
( spl32_82
| spl32_30
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f518,f437,f270,f650]) ).
tff(f518,plain,
( ( $false = bG20 )
| spl32_30
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f482]) ).
tff(f482,plain,
( ( $true != $true )
| ( $false = bG20 )
| spl32_30
| ~ spl32_67 ),
inference(superposition,[],[f271,f438]) ).
tff(f271,plain,
( ( $true != bG20 )
| spl32_30 ),
inference(avatar_component_clause,[],[f270]) ).
tff(f648,plain,
( spl32_81
| spl32_28
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f517,f437,f261,f645]) ).
tff(f517,plain,
( ( $false = bG21 )
| spl32_28
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f484]) ).
tff(f484,plain,
( ( $true != $true )
| ( $false = bG21 )
| spl32_28
| ~ spl32_67 ),
inference(superposition,[],[f262,f438]) ).
tff(f262,plain,
( ( $true != bG21 )
| spl32_28 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f643,plain,
( spl32_80
| spl32_26
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f516,f437,f252,f640]) ).
tff(f516,plain,
( ( $false = bG22 )
| spl32_26
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f486]) ).
tff(f486,plain,
( ( $true != $true )
| ( $false = bG22 )
| spl32_26
| ~ spl32_67 ),
inference(superposition,[],[f253,f438]) ).
tff(f253,plain,
( ( $true != bG22 )
| spl32_26 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f638,plain,
( spl32_79
| spl32_24
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f515,f437,f243,f635]) ).
tff(f515,plain,
( ( $false = bG23 )
| spl32_24
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f488]) ).
tff(f488,plain,
( ( $true != $true )
| ( $false = bG23 )
| spl32_24
| ~ spl32_67 ),
inference(superposition,[],[f244,f438]) ).
tff(f244,plain,
( ( $true != bG23 )
| spl32_24 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f633,plain,
( spl32_78
| spl32_22
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f514,f437,f234,f630]) ).
tff(f514,plain,
( ( $false = bG24 )
| spl32_22
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f490]) ).
tff(f490,plain,
( ( $true != $true )
| ( $false = bG24 )
| spl32_22
| ~ spl32_67 ),
inference(superposition,[],[f235,f438]) ).
tff(f235,plain,
( ( $true != bG24 )
| spl32_22 ),
inference(avatar_component_clause,[],[f234]) ).
tff(f628,plain,
( spl32_77
| spl32_20
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f513,f437,f225,f625]) ).
tff(f513,plain,
( ( $false = bG25 )
| spl32_20
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f492]) ).
tff(f492,plain,
( ( $true != $true )
| ( $false = bG25 )
| spl32_20
| ~ spl32_67 ),
inference(superposition,[],[f226,f438]) ).
tff(f226,plain,
( ( $true != bG25 )
| spl32_20 ),
inference(avatar_component_clause,[],[f225]) ).
tff(f623,plain,
( spl32_76
| spl32_18
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f512,f437,f216,f620]) ).
tff(f512,plain,
( ( $false = bG26 )
| spl32_18
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f494]) ).
tff(f494,plain,
( ( $true != $true )
| ( $false = bG26 )
| spl32_18
| ~ spl32_67 ),
inference(superposition,[],[f217,f438]) ).
tff(f217,plain,
( ( $true != bG26 )
| spl32_18 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f616,plain,
( ~ spl32_16
| spl32_75
| spl32_18
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f610,f437,f216,f613,f207]) ).
tff(f610,plain,
( f3($false)
| ( $true != bG27 )
| spl32_18
| ~ spl32_67 ),
inference(forward_demodulation,[],[f81,f512]) ).
tff(f609,plain,
( spl32_74
| spl32_16
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f511,f437,f207,f606]) ).
tff(f511,plain,
( ( $false = bG27 )
| spl32_16
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f496]) ).
tff(f604,plain,
( spl32_73
| spl32_14
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f510,f437,f198,f601]) ).
tff(f510,plain,
( ( $false = bG28 )
| spl32_14
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f498]) ).
tff(f498,plain,
( ( $true != $true )
| ( $false = bG28 )
| spl32_14
| ~ spl32_67 ),
inference(superposition,[],[f199,f438]) ).
tff(f199,plain,
( ( $true != bG28 )
| spl32_14 ),
inference(avatar_component_clause,[],[f198]) ).
tff(f599,plain,
( spl32_72
| spl32_12
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f509,f437,f189,f596]) ).
tff(f587,plain,
( spl32_71
| spl32_10
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f508,f437,f180,f584]) ).
tff(f508,plain,
( ( $false = bG30 )
| spl32_10
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f502]) ).
tff(f502,plain,
( ( $true != $true )
| ( $false = bG30 )
| spl32_10
| ~ spl32_67 ),
inference(superposition,[],[f181,f438]) ).
tff(f181,plain,
( ( $true != bG30 )
| spl32_10 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f577,plain,
( ~ spl32_12
| spl32_69
| spl32_14
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f562,f437,f198,f547,f189]) ).
tff(f562,plain,
( f1($false)
| ( $true != bG29 )
| spl32_14
| ~ spl32_67 ),
inference(forward_demodulation,[],[f77,f510]) ).
tff(f576,plain,
( ~ spl32_70
| spl32_9
| ~ spl32_12
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f566,f437,f189,f176,f573]) ).
tff(f566,plain,
( ~ f1($true)
| spl32_9
| ~ spl32_12
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f565]) ).
tff(f565,plain,
( ( $true = $false )
| ~ f1($true)
| spl32_9
| ~ spl32_12
| ~ spl32_67 ),
inference(forward_demodulation,[],[f501,f191]) ).
tff(f501,plain,
( ~ f1($true)
| ( $false = bG29 )
| spl32_9
| ~ spl32_67 ),
inference(superposition,[],[f178,f438]) ).
tff(f563,plain,
( spl32_9
| ~ spl32_10 ),
inference(avatar_split_clause,[],[f561,f180,f176]) ).
tff(f561,plain,
( f1(bG29)
| ~ spl32_10 ),
inference(trivial_inequality_removal,[],[f560]) ).
tff(f560,plain,
( ( $true != $true )
| f1(bG29)
| ~ spl32_10 ),
inference(forward_demodulation,[],[f75,f182]) ).
tff(f559,plain,
( ~ spl32_10
| spl32_69
| spl32_12
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f553,f437,f189,f547,f180]) ).
tff(f554,plain,
( spl32_7
| ~ spl32_8 ),
inference(avatar_split_clause,[],[f552,f171,f167]) ).
tff(f552,plain,
( f1(bG30)
| ~ spl32_8 ),
inference(trivial_inequality_removal,[],[f551]) ).
tff(f551,plain,
( ( $true != $true )
| f1(bG30)
| ~ spl32_8 ),
inference(forward_demodulation,[],[f73,f173]) ).
tff(f73,plain,
( f1(bG30)
| ( $true != bG31 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
( ( f1(bG30)
| ( $true != bG31 ) )
& ( ( $true = bG31 )
| ~ f1(bG30) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f550,plain,
( ~ spl32_8
| spl32_69
| spl32_10
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f544,f437,f180,f547,f171]) ).
tff(f544,plain,
( f1($false)
| ( $true != bG31 )
| spl32_10
| ~ spl32_67 ),
inference(forward_demodulation,[],[f73,f508]) ).
tff(f543,plain,
( spl32_68
| spl32_8
| ~ spl32_67 ),
inference(avatar_split_clause,[],[f507,f437,f171,f540]) ).
tff(f507,plain,
( ( $false = bG31 )
| spl32_8
| ~ spl32_67 ),
inference(trivial_inequality_removal,[],[f504]) ).
tff(f504,plain,
( ( $true != $true )
| ( $false = bG31 )
| spl32_8
| ~ spl32_67 ),
inference(superposition,[],[f172,f438]) ).
tff(f172,plain,
( ( $true != bG31 )
| spl32_8 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f439,plain,
spl32_67,
inference(avatar_split_clause,[],[f4,f437]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f435,plain,
( ~ spl32_65
| spl32_66 ),
inference(avatar_split_clause,[],[f132,f432,f428]) ).
tff(f132,plain,
( ( $true = bG1 )
| ~ f7(bG0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f426,plain,
( ~ spl32_63
| spl32_64 ),
inference(avatar_split_clause,[],[f130,f423,f419]) ).
tff(f130,plain,
( ( $true = bG2 )
| ~ f6(bG1) ),
inference(cnf_transformation,[],[f68]) ).
tff(f417,plain,
( ~ spl32_61
| spl32_62 ),
inference(avatar_split_clause,[],[f128,f414,f410]) ).
tff(f128,plain,
( ( $true = bG3 )
| ~ f6(bG2) ),
inference(cnf_transformation,[],[f67]) ).
tff(f408,plain,
( ~ spl32_59
| spl32_60 ),
inference(avatar_split_clause,[],[f126,f405,f401]) ).
tff(f126,plain,
( ( $true = bG4 )
| ~ f6(bG3) ),
inference(cnf_transformation,[],[f66]) ).
tff(f399,plain,
( ~ spl32_57
| spl32_58 ),
inference(avatar_split_clause,[],[f124,f396,f392]) ).
tff(f124,plain,
( ( $true = bG5 )
| ~ f5(bG4) ),
inference(cnf_transformation,[],[f65]) ).
tff(f390,plain,
( ~ spl32_55
| spl32_56 ),
inference(avatar_split_clause,[],[f122,f387,f383]) ).
tff(f122,plain,
( ( $true = bG6 )
| ~ f4(bG5) ),
inference(cnf_transformation,[],[f64]) ).
tff(f381,plain,
( ~ spl32_53
| spl32_54 ),
inference(avatar_split_clause,[],[f120,f378,f374]) ).
tff(f120,plain,
( ( $true = bG7 )
| ~ f4(bG6) ),
inference(cnf_transformation,[],[f63]) ).
tff(f372,plain,
( ~ spl32_51
| spl32_52 ),
inference(avatar_split_clause,[],[f118,f369,f365]) ).
tff(f118,plain,
( ( $true = bG8 )
| ~ f4(bG7) ),
inference(cnf_transformation,[],[f62]) ).
tff(f363,plain,
( ~ spl32_49
| spl32_50 ),
inference(avatar_split_clause,[],[f116,f360,f356]) ).
tff(f116,plain,
( ( $true = bG9 )
| ~ f3(bG8) ),
inference(cnf_transformation,[],[f61]) ).
tff(f354,plain,
( ~ spl32_47
| spl32_48 ),
inference(avatar_split_clause,[],[f114,f351,f347]) ).
tff(f114,plain,
( ( $true = bG10 )
| ~ f2(bG9) ),
inference(cnf_transformation,[],[f60]) ).
tff(f345,plain,
( ~ spl32_45
| spl32_46 ),
inference(avatar_split_clause,[],[f112,f342,f338]) ).
tff(f112,plain,
( ( $true = bG11 )
| ~ f2(bG10) ),
inference(cnf_transformation,[],[f59]) ).
tff(f336,plain,
( ~ spl32_43
| spl32_44 ),
inference(avatar_split_clause,[],[f110,f333,f329]) ).
tff(f110,plain,
( ( $true = bG12 )
| ~ f2(bG11) ),
inference(cnf_transformation,[],[f58]) ).
tff(f327,plain,
( ~ spl32_41
| spl32_42 ),
inference(avatar_split_clause,[],[f108,f324,f320]) ).
tff(f108,plain,
( ( $true = bG13 )
| ~ f1(bG12) ),
inference(cnf_transformation,[],[f57]) ).
tff(f318,plain,
( ~ spl32_39
| spl32_40 ),
inference(avatar_split_clause,[],[f106,f315,f311]) ).
tff(f106,plain,
( ( $true = bG14 )
| ~ f0(bG13) ),
inference(cnf_transformation,[],[f56]) ).
tff(f309,plain,
( ~ spl32_37
| spl32_38 ),
inference(avatar_split_clause,[],[f104,f306,f302]) ).
tff(f104,plain,
( ( $true = bG15 )
| ~ f0(bG14) ),
inference(cnf_transformation,[],[f55]) ).
tff(f300,plain,
( ~ spl32_35
| spl32_36 ),
inference(avatar_split_clause,[],[f100,f297,f293]) ).
tff(f100,plain,
( ( $true = bG17 )
| ~ f7(bG16) ),
inference(cnf_transformation,[],[f53]) ).
tff(f291,plain,
( ~ spl32_33
| spl32_34 ),
inference(avatar_split_clause,[],[f98,f288,f284]) ).
tff(f98,plain,
( ( $true = bG18 )
| ~ f7(bG17) ),
inference(cnf_transformation,[],[f52]) ).
tff(f282,plain,
( ~ spl32_31
| spl32_32 ),
inference(avatar_split_clause,[],[f96,f279,f275]) ).
tff(f96,plain,
( ( $true = bG19 )
| ~ f7(bG18) ),
inference(cnf_transformation,[],[f51]) ).
tff(f273,plain,
( ~ spl32_29
| spl32_30 ),
inference(avatar_split_clause,[],[f94,f270,f266]) ).
tff(f94,plain,
( ( $true = bG20 )
| ~ f6(bG19) ),
inference(cnf_transformation,[],[f50]) ).
tff(f264,plain,
( ~ spl32_27
| spl32_28 ),
inference(avatar_split_clause,[],[f92,f261,f257]) ).
tff(f92,plain,
( ( $true = bG21 )
| ~ f5(bG20) ),
inference(cnf_transformation,[],[f49]) ).
tff(f255,plain,
( ~ spl32_25
| spl32_26 ),
inference(avatar_split_clause,[],[f90,f252,f248]) ).
tff(f90,plain,
( ( $true = bG22 )
| ~ f5(bG21) ),
inference(cnf_transformation,[],[f48]) ).
tff(f246,plain,
( ~ spl32_23
| spl32_24 ),
inference(avatar_split_clause,[],[f88,f243,f239]) ).
tff(f88,plain,
( ( $true = bG23 )
| ~ f5(bG22) ),
inference(cnf_transformation,[],[f47]) ).
tff(f237,plain,
( ~ spl32_21
| spl32_22 ),
inference(avatar_split_clause,[],[f86,f234,f230]) ).
tff(f86,plain,
( ( $true = bG24 )
| ~ f4(bG23) ),
inference(cnf_transformation,[],[f46]) ).
tff(f228,plain,
( ~ spl32_19
| spl32_20 ),
inference(avatar_split_clause,[],[f84,f225,f221]) ).
tff(f84,plain,
( ( $true = bG25 )
| ~ f3(bG24) ),
inference(cnf_transformation,[],[f45]) ).
tff(f219,plain,
( ~ spl32_17
| spl32_18 ),
inference(avatar_split_clause,[],[f82,f216,f212]) ).
tff(f82,plain,
( ( $true = bG26 )
| ~ f3(bG25) ),
inference(cnf_transformation,[],[f44]) ).
tff(f210,plain,
( ~ spl32_15
| spl32_16 ),
inference(avatar_split_clause,[],[f80,f207,f203]) ).
tff(f80,plain,
( ( $true = bG27 )
| ~ f3(bG26) ),
inference(cnf_transformation,[],[f43]) ).
tff(f201,plain,
( ~ spl32_13
| spl32_14 ),
inference(avatar_split_clause,[],[f78,f198,f194]) ).
tff(f78,plain,
( ( $true = bG28 )
| ~ f2(bG27) ),
inference(cnf_transformation,[],[f42]) ).
tff(f192,plain,
( ~ spl32_11
| spl32_12 ),
inference(avatar_split_clause,[],[f76,f189,f185]) ).
tff(f76,plain,
( ( $true = bG29 )
| ~ f1(bG28) ),
inference(cnf_transformation,[],[f41]) ).
tff(f183,plain,
( ~ spl32_9
| spl32_10 ),
inference(avatar_split_clause,[],[f74,f180,f176]) ).
tff(f74,plain,
( ( $true = bG30 )
| ~ f1(bG29) ),
inference(cnf_transformation,[],[f40]) ).
tff(f174,plain,
( ~ spl32_7
| spl32_8 ),
inference(avatar_split_clause,[],[f72,f171,f167]) ).
tff(f72,plain,
( ( $true = bG31 )
| ~ f1(bG30) ),
inference(cnf_transformation,[],[f39]) ).
tff(f165,plain,
( ~ spl32_6
| spl32_4 ),
inference(avatar_split_clause,[],[f135,f153,f162]) ).
tff(f135,plain,
( x
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f70]) ).
tff(f160,plain,
( ~ spl32_4
| spl32_5 ),
inference(avatar_split_clause,[],[f102,f157,f153]) ).
tff(f102,plain,
( ( $true = bG16 )
| ~ x ),
inference(cnf_transformation,[],[f54]) ).
tff(f151,plain,
~ spl32_3,
inference(avatar_split_clause,[],[f3,f148]) ).
tff(f148,plain,
( spl32_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
tff(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f146,plain,
( spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f136,f143,f139]) ).
tff(f136,plain,
( f0(bG31)
| f0(bG15) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO500_8.008 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 16:11:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (12940)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (12944)WARNING: value z3 for option sas not known
% 0.15/0.37 % (12942)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (12947)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)
% 0.15/0.37 % (12944)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)
% 0.15/0.37 % (12946)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)
% 0.15/0.37 % (12948)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)
% 0.15/0.37 % (12943)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (12945)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 Detected minimum model sizes of [1]
% 0.15/0.37 Detected maximum model sizes of [34]
% 0.15/0.37 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [68]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [6]
% 0.15/0.38 TRYING [7]
% 0.15/0.39 TRYING [8]
% 0.15/0.39 TRYING [9]
% 0.15/0.39 TRYING [10]
% 0.15/0.39 TRYING [11]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [12]
% 0.21/0.40 TRYING [13]
% 0.21/0.40 TRYING [14]
% 0.21/0.41 TRYING [15]
% 0.21/0.41 TRYING [16]
% 0.21/0.41 TRYING [17]
% 0.21/0.42 TRYING [18]
% 0.21/0.42 TRYING [19]
% 0.21/0.43 TRYING [20]
% 0.21/0.43 TRYING [21]
% 0.21/0.44 TRYING [22]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [23]
% 0.21/0.45 TRYING [24]
% 0.21/0.46 TRYING [25]
% 0.21/0.46 TRYING [26]
% 0.21/0.47 TRYING [27]
% 0.21/0.48 TRYING [28]
% 0.21/0.48 TRYING [29]
% 0.21/0.49 TRYING [30]
% 0.21/0.49 TRYING [31]
% 0.21/0.49 % (12946)First to succeed.
% 0.21/0.50 TRYING [32]
% 0.21/0.50 % (12946)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12940"
% 0.21/0.50 TRYING [33]
% 0.21/0.50 % (12946)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (12946)------------------------------
% 0.21/0.51 % (12946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51 % (12946)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (12946)Memory used [KB]: 1893
% 0.21/0.51 % (12946)Time elapsed: 0.131 s
% 0.21/0.51 % (12946)Instructions burned: 350 (million)
% 0.21/0.51 % (12940)Success in time 0.151 s
%------------------------------------------------------------------------------