TSTP Solution File: SYO500_8.007 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO500_8.007 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 18:20:17 EDT 2024
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 177
% Syntax : Number of formulae : 1141 ( 6 unt; 35 typ; 0 def)
% Number of atoms : 4765 ( 606 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 3597 (1638 ~;1789 |; 29 &)
% ( 140 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1768 (1700 fml; 68 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of predicates : 150 ( 147 usr; 142 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 34 ( 34 !; 0 ?; 34 :)
% 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(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(f5283,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f135,f144,f149,f158,f167,f176,f185,f194,f203,f212,f221,f230,f239,f248,f257,f266,f275,f284,f293,f302,f311,f320,f329,f338,f347,f356,f365,f374,f383,f387,f479,f486,f490,f495,f499,f512,f516,f527,f536,f548,f554,f563,f569,f574,f582,f590,f595,f599,f605,f613,f618,f622,f624,f631,f636,f640,f642,f644,f650,f652,f659,f667,f671,f677,f688,f693,f697,f703,f705,f710,f714,f720,f727,f731,f741,f749,f757,f765,f770,f775,f780,f785,f790,f797,f802,f807,f812,f819,f820,f827,f832,f837,f842,f847,f859,f893,f899,f932,f968,f974,f980,f990,f999,f1001,f1002,f1011,f1024,f1026,f1034,f1038,f1042,f1046,f1047,f1050,f1056,f1063,f1070,f1087,f1089,f1093,f1101,f1111,f1120,f1126,f1129,f1134,f1136,f1142,f1159,f1176,f1185,f1190,f1191,f1192,f1195,f1201,f1215,f1216,f1238,f1239,f1243,f1247,f1249,f1256,f1262,f1264,f1272,f1276,f1283,f1289,f1292,f1296,f1302,f1312,f1673,f1678,f1691,f1705,f1706,f1713,f1734,f1735,f1743,f1782,f1783,f1784,f1806,f1832,f1851,f1866,f1872,f1891,f1932,f1933,f1969,f2022,f2027,f2033,f2041,f2046,f2056,f2078,f2082,f2096,f2108,f2118,f2124,f2132,f2149,f2150,f2160,f2169,f2611,f2639,f2654,f2661,f2688,f2705,f2706,f2730,f2744,f2760,f2766,f2768,f2783,f2792,f2795,f2816,f2828,f2833,f2864,f2881,f2903,f2907,f2912,f2916,f2934,f2956,f2957,f2987,f2998,f3004,f3006,f3157,f3158,f3159,f3164,f3205,f3218,f3232,f3234,f3282,f3288,f3308,f3311,f3330,f3331,f3336,f3353,f3370,f3493,f3525,f3578,f3579,f3587,f3588,f3589,f3590,f3591,f3599,f3606,f3669,f3677,f3678,f3742,f3761,f3789,f3790,f3932,f3984,f3989,f3994,f4090,f4123,f4129,f4132,f4152,f4173,f4256,f4292,f4333,f4475,f4533,f4538,f4663,f4687,f4738,f4739,f4740,f4741,f4749,f4750,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4764,f4765,f4818,f4884,f4955,f4963,f4976,f4981,f5101,f5146,f5147,f5148,f5189,f5202,f5282]) ).
tff(f5282,plain,
( ~ spl28_63
| spl28_17
| ~ spl28_72 ),
inference(avatar_split_clause,[],[f5278,f633,f196,f524]) ).
tff(f524,plain,
( spl28_63
<=> f2($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_63])]) ).
tff(f196,plain,
( spl28_17
<=> f2(bG21) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
tff(f633,plain,
( spl28_72
<=> ( $false = bG21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_72])]) ).
tff(f5278,plain,
( ~ f2($false)
| spl28_17
| ~ spl28_72 ),
inference(superposition,[],[f198,f635]) ).
tff(f635,plain,
( ( $false = bG21 )
| ~ spl28_72 ),
inference(avatar_component_clause,[],[f633]) ).
tff(f198,plain,
( ~ f2(bG21)
| spl28_17 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f5202,plain,
( spl28_77
| ~ spl28_103 ),
inference(avatar_contradiction_clause,[],[f5201]) ).
tff(f5201,plain,
( $false
| spl28_77
| ~ spl28_103 ),
inference(trivial_inequality_removal,[],[f5199]) ).
tff(f5199,plain,
( ( $true = $false )
| spl28_77
| ~ spl28_103 ),
inference(resolution,[],[f1045,f701]) ).
tff(f701,plain,
( ~ f4($true)
| spl28_77 ),
inference(avatar_component_clause,[],[f700]) ).
tff(f700,plain,
( spl28_77
<=> f4($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_77])]) ).
tff(f1045,plain,
( ! [X0: $o] :
( f4((X0))
| ( $false = (X0) ) )
| ~ spl28_103 ),
inference(avatar_component_clause,[],[f1044]) ).
tff(f1044,plain,
( spl28_103
<=> ! [X0: $o] :
( f4((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_103])]) ).
tff(f5189,plain,
( spl28_94
| spl28_52
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f4359,f385,f353,f824]) ).
tff(f824,plain,
( spl28_94
<=> ( $false = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_94])]) ).
tff(f353,plain,
( spl28_52
<=> ( $true = bG4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_52])]) ).
tff(f385,plain,
( spl28_59
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_59])]) ).
tff(f4359,plain,
( ( $false = bG4 )
| spl28_52
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f398]) ).
tff(f398,plain,
( ( $true != $true )
| ( $false = bG4 )
| spl28_52
| ~ spl28_59 ),
inference(superposition,[],[f354,f386]) ).
tff(f386,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl28_59 ),
inference(avatar_component_clause,[],[f385]) ).
tff(f354,plain,
( ( $true != bG4 )
| spl28_52 ),
inference(avatar_component_clause,[],[f353]) ).
tff(f5148,plain,
( ~ spl28_44
| spl28_73
| ~ spl28_59
| ~ spl28_91 ),
inference(avatar_split_clause,[],[f3302,f804,f385,f664,f317]) ).
tff(f317,plain,
( spl28_44
<=> ( $true = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_44])]) ).
tff(f664,plain,
( spl28_73
<=> f3($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_73])]) ).
tff(f804,plain,
( spl28_91
<=> ( $false = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_91])]) ).
tff(f3302,plain,
( f3($false)
| ( $true != bG8 )
| ~ spl28_59
| ~ spl28_91 ),
inference(forward_demodulation,[],[f103,f3258]) ).
tff(f3258,plain,
( ( $false = bG7 )
| ~ spl28_59
| ~ spl28_91 ),
inference(trivial_inequality_removal,[],[f2606]) ).
tff(f2606,plain,
( ( $true = $false )
| ( $false = bG7 )
| ~ spl28_59
| ~ spl28_91 ),
inference(superposition,[],[f806,f386]) ).
tff(f806,plain,
( ( $false = bG7 )
| ~ spl28_91 ),
inference(avatar_component_clause,[],[f804]) ).
tff(f103,plain,
( f3(bG7)
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
( ( f3(bG7)
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ f3(bG7) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
( f3(bG7)
<=> ( $true = bG8 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG8])]) ).
tff(f5147,plain,
( ~ spl28_46
| spl28_73
| ~ spl28_59
| ~ spl28_92 ),
inference(avatar_split_clause,[],[f1695,f809,f385,f664,f326]) ).
tff(f326,plain,
( spl28_46
<=> ( $true = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_46])]) ).
tff(f809,plain,
( spl28_92
<=> ( $false = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_92])]) ).
tff(f1695,plain,
( f3($false)
| ( $true != bG7 )
| ~ spl28_59
| ~ spl28_92 ),
inference(forward_demodulation,[],[f105,f1681]) ).
tff(f1681,plain,
( ( $false = bG6 )
| ~ spl28_59
| ~ spl28_92 ),
inference(trivial_inequality_removal,[],[f941]) ).
tff(f941,plain,
( ( $true = $false )
| ( $false = bG6 )
| ~ spl28_59
| ~ spl28_92 ),
inference(superposition,[],[f811,f386]) ).
tff(f811,plain,
( ( $false = bG6 )
| ~ spl28_92 ),
inference(avatar_component_clause,[],[f809]) ).
tff(f105,plain,
( f3(bG6)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
( ( f3(bG6)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ f3(bG6) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f12,plain,
( f3(bG6)
<=> ( $true = bG7 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG7])]) ).
tff(f5146,plain,
( ~ spl28_48
| spl28_74
| ~ spl28_50 ),
inference(avatar_split_clause,[],[f1293,f344,f674,f335]) ).
tff(f335,plain,
( spl28_48
<=> ( $true = bG6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_48])]) ).
tff(f674,plain,
( spl28_74
<=> f3($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_74])]) ).
tff(f344,plain,
( spl28_50
<=> ( $true = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_50])]) ).
tff(f1293,plain,
( f3($true)
| ( $true != bG6 )
| ~ spl28_50 ),
inference(forward_demodulation,[],[f107,f346]) ).
tff(f346,plain,
( ( $true = bG5 )
| ~ spl28_50 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f107,plain,
( f3(bG5)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
( ( f3(bG5)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ f3(bG5) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f11,plain,
( f3(bG5)
<=> ( $true = bG6 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG6])]) ).
tff(f5101,plain,
( spl28_63
| ~ spl28_41
| ~ spl28_90 ),
inference(avatar_split_clause,[],[f3284,f799,f304,f524]) ).
tff(f304,plain,
( spl28_41
<=> f2(bG8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_41])]) ).
tff(f799,plain,
( spl28_90
<=> ( $false = bG8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_90])]) ).
tff(f3284,plain,
( f2($false)
| ~ spl28_41
| ~ spl28_90 ),
inference(forward_demodulation,[],[f305,f801]) ).
tff(f801,plain,
( ( $false = bG8 )
| ~ spl28_90 ),
inference(avatar_component_clause,[],[f799]) ).
tff(f305,plain,
( f2(bG8)
| ~ spl28_41 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f4981,plain,
( spl28_75
| ~ spl28_50
| ~ spl28_94 ),
inference(avatar_split_clause,[],[f4968,f824,f344,f685]) ).
tff(f685,plain,
( spl28_75
<=> f4($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_75])]) ).
tff(f4968,plain,
( f4($false)
| ~ spl28_50
| ~ spl28_94 ),
inference(trivial_inequality_removal,[],[f4967]) ).
tff(f4967,plain,
( ( $true != $true )
| f4($false)
| ~ spl28_50
| ~ spl28_94 ),
inference(forward_demodulation,[],[f1266,f346]) ).
tff(f1266,plain,
( f4($false)
| ( $true != bG5 )
| ~ spl28_94 ),
inference(forward_demodulation,[],[f109,f826]) ).
tff(f826,plain,
( ( $false = bG4 )
| ~ spl28_94 ),
inference(avatar_component_clause,[],[f824]) ).
tff(f109,plain,
( f4(bG4)
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
( ( f4(bG4)
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ f4(bG4) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
( f4(bG4)
<=> ( $true = bG5 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG5])]) ).
tff(f4976,plain,
( ~ spl28_75
| spl28_23
| ~ spl28_59
| ~ spl28_78 ),
inference(avatar_split_clause,[],[f4629,f707,f385,f223,f685]) ).
tff(f223,plain,
( spl28_23
<=> f4(bG18) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
tff(f707,plain,
( spl28_78
<=> ( $false = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_78])]) ).
tff(f4629,plain,
( ~ f4($false)
| spl28_23
| ~ spl28_59
| ~ spl28_78 ),
inference(forward_demodulation,[],[f225,f3855]) ).
tff(f3855,plain,
( ( $false = bG18 )
| ~ spl28_59
| ~ spl28_78 ),
inference(trivial_inequality_removal,[],[f880]) ).
tff(f880,plain,
( ( $true = $false )
| ( $false = bG18 )
| ~ spl28_59
| ~ spl28_78 ),
inference(superposition,[],[f709,f386]) ).
tff(f709,plain,
( ( $false = bG18 )
| ~ spl28_78 ),
inference(avatar_component_clause,[],[f707]) ).
tff(f225,plain,
( ~ f4(bG18)
| spl28_23 ),
inference(avatar_component_clause,[],[f223]) ).
tff(f4963,plain,
( ~ spl28_75
| spl28_21
| ~ spl28_59
| ~ spl28_76 ),
inference(avatar_split_clause,[],[f4631,f690,f385,f214,f685]) ).
tff(f214,plain,
( spl28_21
<=> f4(bG19) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
tff(f690,plain,
( spl28_76
<=> ( $false = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_76])]) ).
tff(f4631,plain,
( ~ f4($false)
| spl28_21
| ~ spl28_59
| ~ spl28_76 ),
inference(forward_demodulation,[],[f216,f4597]) ).
tff(f4597,plain,
( ( $false = bG19 )
| ~ spl28_59
| ~ spl28_76 ),
inference(trivial_inequality_removal,[],[f2634]) ).
tff(f2634,plain,
( ( $true = $false )
| ( $false = bG19 )
| ~ spl28_59
| ~ spl28_76 ),
inference(superposition,[],[f692,f386]) ).
tff(f692,plain,
( ( $false = bG19 )
| ~ spl28_76 ),
inference(avatar_component_clause,[],[f690]) ).
tff(f216,plain,
( ~ f4(bG19)
| spl28_21 ),
inference(avatar_component_clause,[],[f214]) ).
tff(f4955,plain,
( spl28_77
| ~ spl28_24
| ~ spl28_26 ),
inference(avatar_split_clause,[],[f4898,f236,f227,f700]) ).
tff(f227,plain,
( spl28_24
<=> ( $true = bG19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).
tff(f236,plain,
( spl28_26
<=> ( $true = bG18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_26])]) ).
tff(f4898,plain,
( f4($true)
| ~ spl28_24
| ~ spl28_26 ),
inference(forward_demodulation,[],[f3011,f238]) ).
tff(f238,plain,
( ( $true = bG18 )
| ~ spl28_26 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f3011,plain,
( f4(bG18)
| ~ spl28_24 ),
inference(trivial_inequality_removal,[],[f1015]) ).
tff(f1015,plain,
( ( $true != $true )
| f4(bG18)
| ~ spl28_24 ),
inference(forward_demodulation,[],[f81,f229]) ).
tff(f229,plain,
( ( $true = bG19 )
| ~ spl28_24 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f81,plain,
( f4(bG18)
| ( $true != bG19 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
( ( f4(bG18)
| ( $true != bG19 ) )
& ( ( $true = bG19 )
| ~ f4(bG18) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
( f4(bG18)
<=> ( $true = bG19 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG19])]) ).
tff(f4884,plain,
( ~ spl28_50
| ~ spl28_59
| ~ spl28_93 ),
inference(avatar_contradiction_clause,[],[f4883]) ).
tff(f4883,plain,
( $false
| ~ spl28_50
| ~ spl28_59
| ~ spl28_93 ),
inference(trivial_inequality_removal,[],[f4882]) ).
tff(f4882,plain,
( ( $true = $false )
| ~ spl28_50
| ~ spl28_59
| ~ spl28_93 ),
inference(forward_demodulation,[],[f346,f3264]) ).
tff(f3264,plain,
( ( $false = bG5 )
| ~ spl28_59
| ~ spl28_93 ),
inference(trivial_inequality_removal,[],[f2621]) ).
tff(f2621,plain,
( ( $true = $false )
| ( $false = bG5 )
| ~ spl28_59
| ~ spl28_93 ),
inference(superposition,[],[f818,f386]) ).
tff(f818,plain,
( ( $false = bG5 )
| ~ spl28_93 ),
inference(avatar_component_clause,[],[f816]) ).
tff(f816,plain,
( spl28_93
<=> ( $false = bG5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_93])]) ).
tff(f4818,plain,
( ~ spl28_62
| spl28_39
| ~ spl28_89 ),
inference(avatar_split_clause,[],[f2600,f794,f295,f509]) ).
tff(f509,plain,
( spl28_62
<=> f1($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_62])]) ).
tff(f295,plain,
( spl28_39
<=> f1(bG9) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
tff(f794,plain,
( spl28_89
<=> ( $false = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_89])]) ).
tff(f2600,plain,
( ~ f1($false)
| spl28_39
| ~ spl28_89 ),
inference(superposition,[],[f297,f796]) ).
tff(f796,plain,
( ( $false = bG9 )
| ~ spl28_89 ),
inference(avatar_component_clause,[],[f794]) ).
tff(f297,plain,
( ~ f1(bG9)
| spl28_39 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f4765,plain,
( ~ spl28_36
| spl28_68
| ~ spl28_38 ),
inference(avatar_split_clause,[],[f4616,f290,f579,f281]) ).
tff(f281,plain,
( spl28_36
<=> ( $true = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_36])]) ).
tff(f579,plain,
( spl28_68
<=> f1($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_68])]) ).
tff(f290,plain,
( spl28_38
<=> ( $true = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_38])]) ).
tff(f4616,plain,
( f1($true)
| ( $true != bG12 )
| ~ spl28_38 ),
inference(forward_demodulation,[],[f95,f292]) ).
tff(f292,plain,
( ( $true = bG11 )
| ~ spl28_38 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f95,plain,
( f1(bG11)
| ( $true != bG12 ) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( ( f1(bG11)
| ( $true != bG12 ) )
& ( ( $true = bG12 )
| ~ f1(bG11) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( f1(bG11)
<=> ( $true = bG12 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG12])]) ).
tff(f4764,plain,
( ~ spl28_16
| spl28_63
| ~ spl28_71 ),
inference(avatar_split_clause,[],[f4437,f615,f524,f191]) ).
tff(f191,plain,
( spl28_16
<=> ( $true = bG23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
tff(f615,plain,
( spl28_71
<=> ( $false = bG22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_71])]) ).
tff(f4437,plain,
( f2($false)
| ( $true != bG23 )
| ~ spl28_71 ),
inference(forward_demodulation,[],[f73,f617]) ).
tff(f617,plain,
( ( $false = bG22 )
| ~ spl28_71 ),
inference(avatar_component_clause,[],[f615]) ).
tff(f73,plain,
( f2(bG22)
| ( $true != bG23 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
( ( f2(bG22)
| ( $true != bG23 ) )
& ( ( $true = bG23 )
| ~ f2(bG22) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
( f2(bG22)
<=> ( $true = bG23 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG23])]) ).
tff(f4759,plain,
( ~ spl28_75
| spl28_49
| ~ spl28_94 ),
inference(avatar_split_clause,[],[f950,f824,f340,f685]) ).
tff(f340,plain,
( spl28_49
<=> f4(bG4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_49])]) ).
tff(f950,plain,
( ~ f4($false)
| spl28_49
| ~ spl28_94 ),
inference(superposition,[],[f342,f826]) ).
tff(f342,plain,
( ~ f4(bG4)
| spl28_49 ),
inference(avatar_component_clause,[],[f340]) ).
tff(f4758,plain,
( ~ spl28_34
| spl28_82
| ~ spl28_85 ),
inference(avatar_split_clause,[],[f2761,f772,f754,f272]) ).
tff(f272,plain,
( spl28_34
<=> ( $true = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
tff(f754,plain,
( spl28_82
<=> f6($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_82])]) ).
tff(f772,plain,
( spl28_85
<=> ( $false = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_85])]) ).
tff(f2761,plain,
( f6($false)
| ( $true != bG14 )
| ~ spl28_85 ),
inference(forward_demodulation,[],[f91,f774]) ).
tff(f774,plain,
( ( $false = bG13 )
| ~ spl28_85 ),
inference(avatar_component_clause,[],[f772]) ).
tff(f91,plain,
( f6(bG13)
| ( $true != bG14 ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
( ( f6(bG13)
| ( $true != bG14 ) )
& ( ( $true = bG14 )
| ~ f6(bG13) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f19,plain,
( f6(bG13)
<=> ( $true = bG14 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG14])]) ).
tff(f4757,plain,
( ~ spl28_32
| spl28_82
| ~ spl28_84 ),
inference(avatar_split_clause,[],[f2732,f767,f754,f263]) ).
tff(f263,plain,
( spl28_32
<=> ( $true = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_32])]) ).
tff(f767,plain,
( spl28_84
<=> ( $false = bG14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_84])]) ).
tff(f2732,plain,
( f6($false)
| ( $true != bG15 )
| ~ spl28_84 ),
inference(forward_demodulation,[],[f89,f769]) ).
tff(f769,plain,
( ( $false = bG14 )
| ~ spl28_84 ),
inference(avatar_component_clause,[],[f767]) ).
tff(f89,plain,
( f6(bG14)
| ( $true != bG15 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
( ( f6(bG14)
| ( $true != bG15 ) )
& ( ( $true = bG15 )
| ~ f6(bG14) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f20,plain,
( f6(bG14)
<=> ( $true = bG15 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG15])]) ).
tff(f4756,plain,
( ~ spl28_58
| spl28_82
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f2657,f844,f754,f380]) ).
tff(f380,plain,
( spl28_58
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_58])]) ).
tff(f844,plain,
( spl28_98
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_98])]) ).
tff(f2657,plain,
( f6($false)
| ( $true != bG1 )
| ~ spl28_98 ),
inference(forward_demodulation,[],[f117,f846]) ).
tff(f846,plain,
( ( $false = bG0 )
| ~ spl28_98 ),
inference(avatar_component_clause,[],[f844]) ).
tff(f117,plain,
( f6(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
( ( f6(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f6(bG0) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( f6(bG0)
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f4755,plain,
( ~ spl28_56
| spl28_80
| ~ spl28_97 ),
inference(avatar_split_clause,[],[f2042,f839,f738,f371]) ).
tff(f371,plain,
( spl28_56
<=> ( $true = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_56])]) ).
tff(f738,plain,
( spl28_80
<=> f5($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_80])]) ).
tff(f839,plain,
( spl28_97
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_97])]) ).
tff(f2042,plain,
( f5($false)
| ( $true != bG2 )
| ~ spl28_97 ),
inference(forward_demodulation,[],[f115,f841]) ).
tff(f841,plain,
( ( $false = bG1 )
| ~ spl28_97 ),
inference(avatar_component_clause,[],[f839]) ).
tff(f115,plain,
( f5(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
( ( f5(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f5(bG1) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,plain,
( f5(bG1)
<=> ( $true = bG2 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f4754,plain,
( ~ spl28_46
| spl28_74
| ~ spl28_48 ),
inference(avatar_split_clause,[],[f1747,f335,f674,f326]) ).
tff(f1747,plain,
( f3($true)
| ( $true != bG7 )
| ~ spl28_48 ),
inference(forward_demodulation,[],[f105,f337]) ).
tff(f337,plain,
( ( $true = bG6 )
| ~ spl28_48 ),
inference(avatar_component_clause,[],[f335]) ).
tff(f4753,plain,
( ~ spl28_28
| spl28_80
| ~ spl28_59
| ~ spl28_81 ),
inference(avatar_split_clause,[],[f1005,f746,f385,f738,f245]) ).
tff(f245,plain,
( spl28_28
<=> ( $true = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_28])]) ).
tff(f746,plain,
( spl28_81
<=> ( $false = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_81])]) ).
tff(f1005,plain,
( f5($false)
| ( $true != bG17 )
| ~ spl28_59
| ~ spl28_81 ),
inference(forward_demodulation,[],[f85,f992]) ).
tff(f992,plain,
( ( $false = bG16 )
| ~ spl28_59
| ~ spl28_81 ),
inference(trivial_inequality_removal,[],[f886]) ).
tff(f886,plain,
( ( $true = $false )
| ( $false = bG16 )
| ~ spl28_59
| ~ spl28_81 ),
inference(superposition,[],[f748,f386]) ).
tff(f748,plain,
( ( $false = bG16 )
| ~ spl28_81 ),
inference(avatar_component_clause,[],[f746]) ).
tff(f85,plain,
( f5(bG16)
| ( $true != bG17 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
( ( f5(bG16)
| ( $true != bG17 ) )
& ( ( $true = bG17 )
| ~ f5(bG16) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
( f5(bG16)
<=> ( $true = bG17 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG17])]) ).
tff(f4752,plain,
( ~ spl28_24
| spl28_75
| ~ spl28_78 ),
inference(avatar_split_clause,[],[f901,f707,f685,f227]) ).
tff(f901,plain,
( f4($false)
| ( $true != bG19 )
| ~ spl28_78 ),
inference(forward_demodulation,[],[f81,f709]) ).
tff(f4751,plain,
( ~ spl28_26
| spl28_75
| spl28_28
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f713,f385,f245,f685,f236]) ).
tff(f713,plain,
( f4($false)
| ( $true != bG18 )
| spl28_28
| ~ spl28_59 ),
inference(forward_demodulation,[],[f83,f457]) ).
tff(f457,plain,
( ( $false = bG17 )
| spl28_28
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f424]) ).
tff(f424,plain,
( ( $true != $true )
| ( $false = bG17 )
| spl28_28
| ~ spl28_59 ),
inference(superposition,[],[f246,f386]) ).
tff(f246,plain,
( ( $true != bG17 )
| spl28_28 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f83,plain,
( f4(bG17)
| ( $true != bG18 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
( ( f4(bG17)
| ( $true != bG18 ) )
& ( ( $true = bG18 )
| ~ f4(bG17) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
( f4(bG17)
<=> ( $true = bG18 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG18])]) ).
tff(f4750,plain,
( ~ spl28_58
| spl28_57 ),
inference(avatar_split_clause,[],[f117,f376,f380]) ).
tff(f376,plain,
( spl28_57
<=> f6(bG0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_57])]) ).
tff(f4749,plain,
( ~ spl28_52
| spl28_51 ),
inference(avatar_split_clause,[],[f111,f349,f353]) ).
tff(f349,plain,
( spl28_51
<=> f5(bG3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_51])]) ).
tff(f111,plain,
( f5(bG3)
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
( ( f5(bG3)
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ f5(bG3) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,plain,
( f5(bG3)
<=> ( $true = bG4 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG4])]) ).
tff(f4741,plain,
( ~ spl28_34
| spl28_33 ),
inference(avatar_split_clause,[],[f91,f268,f272]) ).
tff(f268,plain,
( spl28_33
<=> f6(bG13) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_33])]) ).
tff(f4740,plain,
( ~ spl28_28
| spl28_27 ),
inference(avatar_split_clause,[],[f85,f241,f245]) ).
tff(f241,plain,
( spl28_27
<=> f5(bG16) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).
tff(f4739,plain,
( ~ spl28_12
| spl28_11 ),
inference(avatar_split_clause,[],[f69,f169,f173]) ).
tff(f173,plain,
( spl28_12
<=> ( $true = bG25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
tff(f169,plain,
( spl28_11
<=> f1(bG24) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
tff(f69,plain,
( f1(bG24)
| ( $true != bG25 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
( ( f1(bG24)
| ( $true != bG25 ) )
& ( ( $true = bG25 )
| ~ f1(bG24) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
( f1(bG24)
<=> ( $true = bG25 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG25])]) ).
tff(f4738,plain,
( ~ spl28_10
| spl28_9 ),
inference(avatar_split_clause,[],[f67,f160,f164]) ).
tff(f164,plain,
( spl28_10
<=> ( $true = bG26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
tff(f160,plain,
( spl28_9
<=> f0(bG25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
tff(f67,plain,
( f0(bG25)
| ( $true != bG26 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
( ( f0(bG25)
| ( $true != bG26 ) )
& ( ( $true = bG26 )
| ~ f0(bG25) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
( f0(bG25)
<=> ( $true = bG26 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG26])]) ).
tff(f4687,plain,
( spl28_62
| ~ spl28_38
| ~ spl28_59
| ~ spl28_88 ),
inference(avatar_split_clause,[],[f3361,f787,f385,f290,f509]) ).
tff(f787,plain,
( spl28_88
<=> ( $false = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_88])]) ).
tff(f3361,plain,
( f1($false)
| ~ spl28_38
| ~ spl28_59
| ~ spl28_88 ),
inference(forward_demodulation,[],[f3354,f3344]) ).
tff(f3344,plain,
( ( $false = bG10 )
| ~ spl28_59
| ~ spl28_88 ),
inference(trivial_inequality_removal,[],[f2228]) ).
tff(f2228,plain,
( ( $true = $false )
| ( $false = bG10 )
| ~ spl28_59
| ~ spl28_88 ),
inference(superposition,[],[f789,f386]) ).
tff(f789,plain,
( ( $false = bG10 )
| ~ spl28_88 ),
inference(avatar_component_clause,[],[f787]) ).
tff(f3354,plain,
( f1(bG10)
| ~ spl28_38 ),
inference(trivial_inequality_removal,[],[f1066]) ).
tff(f1066,plain,
( ( $true != $true )
| f1(bG10)
| ~ spl28_38 ),
inference(forward_demodulation,[],[f97,f292]) ).
tff(f97,plain,
( f1(bG10)
| ( $true != bG11 ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
( ( f1(bG10)
| ( $true != bG11 ) )
& ( ( $true = bG11 )
| ~ f1(bG10) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
( f1(bG10)
<=> ( $true = bG11 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG11])]) ).
tff(f4663,plain,
( spl28_61
| ~ spl28_1
| ~ spl28_59
| ~ spl28_86 ),
inference(avatar_split_clause,[],[f1110,f777,f385,f123,f483]) ).
tff(f483,plain,
( spl28_61
<=> f0($false) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_61])]) ).
tff(f123,plain,
( spl28_1
<=> f0(bG12) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
tff(f777,plain,
( spl28_86
<=> ( $false = bG12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_86])]) ).
tff(f1110,plain,
( f0($false)
| ~ spl28_1
| ~ spl28_59
| ~ spl28_86 ),
inference(forward_demodulation,[],[f125,f1076]) ).
tff(f1076,plain,
( ( $false = bG12 )
| ~ spl28_59
| ~ spl28_86 ),
inference(trivial_inequality_removal,[],[f914]) ).
tff(f914,plain,
( ( $true = $false )
| ( $false = bG12 )
| ~ spl28_59
| ~ spl28_86 ),
inference(superposition,[],[f779,f386]) ).
tff(f779,plain,
( ( $false = bG12 )
| ~ spl28_86 ),
inference(avatar_component_clause,[],[f777]) ).
tff(f125,plain,
( f0(bG12)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f4538,plain,
( spl28_75
| ~ spl28_26
| ~ spl28_59
| ~ spl28_79 ),
inference(avatar_split_clause,[],[f4463,f724,f385,f236,f685]) ).
tff(f724,plain,
( spl28_79
<=> ( $false = bG17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_79])]) ).
tff(f4463,plain,
( f4($false)
| ~ spl28_26
| ~ spl28_59
| ~ spl28_79 ),
inference(forward_demodulation,[],[f3743,f4392]) ).
tff(f4392,plain,
( ( $false = bG17 )
| ~ spl28_59
| ~ spl28_79 ),
inference(trivial_inequality_removal,[],[f2239]) ).
tff(f2239,plain,
( ( $true = $false )
| ( $false = bG17 )
| ~ spl28_59
| ~ spl28_79 ),
inference(superposition,[],[f726,f386]) ).
tff(f726,plain,
( ( $false = bG17 )
| ~ spl28_79 ),
inference(avatar_component_clause,[],[f724]) ).
tff(f3743,plain,
( f4(bG17)
| ~ spl28_26 ),
inference(trivial_inequality_removal,[],[f728]) ).
tff(f728,plain,
( ( $true != $true )
| f4(bG17)
| ~ spl28_26 ),
inference(forward_demodulation,[],[f83,f238]) ).
tff(f4533,plain,
( ~ spl28_63
| spl28_13
| ~ spl28_69 ),
inference(avatar_split_clause,[],[f1083,f592,f178,f524]) ).
tff(f178,plain,
( spl28_13
<=> f2(bG23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
tff(f592,plain,
( spl28_69
<=> ( $false = bG23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_69])]) ).
tff(f1083,plain,
( ~ f2($false)
| spl28_13
| ~ spl28_69 ),
inference(forward_demodulation,[],[f180,f594]) ).
tff(f594,plain,
( ( $false = bG23 )
| ~ spl28_69 ),
inference(avatar_component_clause,[],[f592]) ).
tff(f180,plain,
( ~ f2(bG23)
| spl28_13 ),
inference(avatar_component_clause,[],[f178]) ).
tff(f4475,plain,
( ~ spl28_22
| ~ spl28_111 ),
inference(avatar_contradiction_clause,[],[f4474]) ).
tff(f4474,plain,
( $false
| ~ spl28_22
| ~ spl28_111 ),
inference(trivial_inequality_removal,[],[f4473]) ).
tff(f4473,plain,
( ( $true = $false )
| ~ spl28_22
| ~ spl28_111 ),
inference(forward_demodulation,[],[f220,f3163]) ).
tff(f3163,plain,
( ( $false = bG20 )
| ~ spl28_111 ),
inference(avatar_component_clause,[],[f3161]) ).
tff(f3161,plain,
( spl28_111
<=> ( $false = bG20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_111])]) ).
tff(f220,plain,
( ( $true = bG20 )
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f218,plain,
( spl28_22
<=> ( $true = bG20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
tff(f4333,plain,
( spl28_70
| ~ spl28_41
| ~ spl28_44 ),
inference(avatar_split_clause,[],[f4045,f317,f304,f602]) ).
tff(f602,plain,
( spl28_70
<=> f2($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_70])]) ).
tff(f4045,plain,
( f2($true)
| ~ spl28_41
| ~ spl28_44 ),
inference(forward_demodulation,[],[f305,f319]) ).
tff(f319,plain,
( ( $true = bG8 )
| ~ spl28_44 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f4292,plain,
( ~ spl28_65
| spl28_9
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f4140,f173,f160,f545]) ).
tff(f545,plain,
( spl28_65
<=> f0($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_65])]) ).
tff(f4140,plain,
( ~ f0($true)
| spl28_9
| ~ spl28_12 ),
inference(forward_demodulation,[],[f162,f175]) ).
tff(f175,plain,
( ( $true = bG25 )
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f162,plain,
( ~ f0(bG25)
| spl28_9 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f4256,plain,
( ~ spl28_62
| spl28_11
| ~ spl28_67 ),
inference(avatar_split_clause,[],[f4221,f571,f169,f509]) ).
tff(f571,plain,
( spl28_67
<=> ( $false = bG24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_67])]) ).
tff(f4221,plain,
( ~ f1($false)
| spl28_11
| ~ spl28_67 ),
inference(forward_demodulation,[],[f171,f573]) ).
tff(f573,plain,
( ( $false = bG24 )
| ~ spl28_67 ),
inference(avatar_component_clause,[],[f571]) ).
tff(f171,plain,
( ~ f1(bG24)
| spl28_11 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f4173,plain,
( spl28_65
| ~ spl28_2
| ~ spl28_8
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f4142,f385,f155,f127,f545]) ).
tff(f127,plain,
( spl28_2
<=> f0(bG27) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
tff(f155,plain,
( spl28_8
<=> ( $true = bG27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
tff(f4142,plain,
( f0($true)
| ~ spl28_2
| ~ spl28_8
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f4141]) ).
tff(f4141,plain,
( ( $true = $false )
| f0($true)
| ~ spl28_2
| ~ spl28_8
| ~ spl28_59 ),
inference(forward_demodulation,[],[f3307,f157]) ).
tff(f157,plain,
( ( $true = bG27 )
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f3307,plain,
( f0($true)
| ( $false = bG27 )
| ~ spl28_2
| ~ spl28_59 ),
inference(superposition,[],[f129,f386]) ).
tff(f129,plain,
( f0(bG27)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f4152,plain,
( spl28_51
| ~ spl28_52 ),
inference(avatar_split_clause,[],[f3901,f353,f349]) ).
tff(f3901,plain,
( f5(bG3)
| ~ spl28_52 ),
inference(trivial_inequality_removal,[],[f3900]) ).
tff(f3900,plain,
( ( $true != $true )
| f5(bG3)
| ~ spl28_52 ),
inference(forward_demodulation,[],[f111,f355]) ).
tff(f355,plain,
( ( $true = bG4 )
| ~ spl28_52 ),
inference(avatar_component_clause,[],[f353]) ).
tff(f4132,plain,
( ~ spl28_65
| spl28_2
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f4130,f155,f127,f545]) ).
tff(f4130,plain,
( ~ f0($true)
| spl28_2
| ~ spl28_8 ),
inference(forward_demodulation,[],[f128,f157]) ).
tff(f128,plain,
( ~ f0(bG27)
| spl28_2 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f4129,plain,
( ~ spl28_65
| spl28_1
| ~ spl28_36 ),
inference(avatar_split_clause,[],[f3310,f281,f123,f545]) ).
tff(f3310,plain,
( ~ f0($true)
| spl28_1
| ~ spl28_36 ),
inference(forward_demodulation,[],[f124,f283]) ).
tff(f283,plain,
( ( $true = bG12 )
| ~ spl28_36 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f124,plain,
( ~ f0(bG12)
| spl28_1 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f4123,plain,
( ~ spl28_8
| ~ spl28_59
| ~ spl28_60 ),
inference(avatar_contradiction_clause,[],[f4122]) ).
tff(f4122,plain,
( $false
| ~ spl28_8
| ~ spl28_59
| ~ spl28_60 ),
inference(trivial_inequality_removal,[],[f4121]) ).
tff(f4121,plain,
( ( $true = $false )
| ~ spl28_8
| ~ spl28_59
| ~ spl28_60 ),
inference(forward_demodulation,[],[f157,f1131]) ).
tff(f1131,plain,
( ( $false = bG27 )
| ~ spl28_59
| ~ spl28_60 ),
inference(trivial_inequality_removal,[],[f848]) ).
tff(f848,plain,
( ( $true = $false )
| ( $false = bG27 )
| ~ spl28_59
| ~ spl28_60 ),
inference(superposition,[],[f478,f386]) ).
tff(f478,plain,
( ( $false = bG27 )
| ~ spl28_60 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f476,plain,
( spl28_60
<=> ( $false = bG27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_60])]) ).
tff(f4090,plain,
( ~ spl28_68
| spl28_11
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f3295,f182,f169,f579]) ).
tff(f182,plain,
( spl28_14
<=> ( $true = bG24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
tff(f3295,plain,
( ~ f1($true)
| spl28_11
| ~ spl28_14 ),
inference(forward_demodulation,[],[f171,f184]) ).
tff(f184,plain,
( ( $true = bG24 )
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f3994,plain,
( spl28_73
| ~ spl28_45
| ~ spl28_59
| ~ spl28_92 ),
inference(avatar_split_clause,[],[f3459,f809,f385,f322,f664]) ).
tff(f322,plain,
( spl28_45
<=> f3(bG6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_45])]) ).
tff(f3459,plain,
( f3($false)
| ~ spl28_45
| ~ spl28_59
| ~ spl28_92 ),
inference(forward_demodulation,[],[f323,f3225]) ).
tff(f3225,plain,
( ( $false = bG6 )
| ~ spl28_59
| ~ spl28_92 ),
inference(trivial_inequality_removal,[],[f2627]) ).
tff(f2627,plain,
( ( $true = $false )
| ( $false = bG6 )
| ~ spl28_59
| ~ spl28_92 ),
inference(superposition,[],[f811,f386]) ).
tff(f323,plain,
( f3(bG6)
| ~ spl28_45 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f3989,plain,
( ~ spl28_73
| spl28_47
| ~ spl28_59
| ~ spl28_93 ),
inference(avatar_split_clause,[],[f1949,f816,f385,f331,f664]) ).
tff(f331,plain,
( spl28_47
<=> f3(bG5) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_47])]) ).
tff(f1949,plain,
( ~ f3($false)
| spl28_47
| ~ spl28_59
| ~ spl28_93 ),
inference(forward_demodulation,[],[f333,f1298]) ).
tff(f1298,plain,
( ( $false = bG5 )
| ~ spl28_59
| ~ spl28_93 ),
inference(trivial_inequality_removal,[],[f944]) ).
tff(f944,plain,
( ( $true = $false )
| ( $false = bG5 )
| ~ spl28_59
| ~ spl28_93 ),
inference(superposition,[],[f818,f386]) ).
tff(f333,plain,
( ~ f3(bG5)
| spl28_47 ),
inference(avatar_component_clause,[],[f331]) ).
tff(f3984,plain,
( spl28_63
| ~ spl28_18
| ~ spl28_59
| ~ spl28_72 ),
inference(avatar_split_clause,[],[f1858,f633,f385,f200,f524]) ).
tff(f200,plain,
( spl28_18
<=> ( $true = bG22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
tff(f1858,plain,
( f2($false)
| ~ spl28_18
| ~ spl28_59
| ~ spl28_72 ),
inference(forward_demodulation,[],[f638,f1835]) ).
tff(f1835,plain,
( ( $false = bG21 )
| ~ spl28_59
| ~ spl28_72 ),
inference(trivial_inequality_removal,[],[f874]) ).
tff(f874,plain,
( ( $true = $false )
| ( $false = bG21 )
| ~ spl28_59
| ~ spl28_72 ),
inference(superposition,[],[f635,f386]) ).
tff(f638,plain,
( f2(bG21)
| ~ spl28_18 ),
inference(trivial_inequality_removal,[],[f637]) ).
tff(f637,plain,
( ( $true != $true )
| f2(bG21)
| ~ spl28_18 ),
inference(forward_demodulation,[],[f75,f202]) ).
tff(f202,plain,
( ( $true = bG22 )
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f75,plain,
( f2(bG21)
| ( $true != bG22 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( ( f2(bG21)
| ( $true != bG22 ) )
& ( ( $true = bG22 )
| ~ f2(bG21) ) ),
inference(nnf_transformation,[],[f27]) ).
tff(f27,plain,
( f2(bG21)
<=> ( $true = bG22 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG22])]) ).
tff(f3932,plain,
( ~ spl28_4
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f2794,f844,f137]) ).
tff(f137,plain,
( spl28_4
<=> x ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
tff(f2794,plain,
( ~ x
| ~ spl28_98 ),
inference(trivial_inequality_removal,[],[f2793]) ).
tff(f2793,plain,
( ( $true = $false )
| ~ x
| ~ spl28_98 ),
inference(forward_demodulation,[],[f118,f846]) ).
tff(f118,plain,
( ( $true = bG0 )
| ~ x ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
( ( x
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ x ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( x
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f3790,plain,
( ~ spl28_77
| spl28_21
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f3078,f227,f214,f700]) ).
tff(f3078,plain,
( ~ f4($true)
| spl28_21
| ~ spl28_24 ),
inference(forward_demodulation,[],[f216,f229]) ).
tff(f3789,plain,
( ~ spl28_77
| ~ spl28_109 ),
inference(avatar_contradiction_clause,[],[f3788]) ).
tff(f3788,plain,
( $false
| ~ spl28_77
| ~ spl28_109 ),
inference(trivial_inequality_removal,[],[f3780]) ).
tff(f3780,plain,
( ( $true = $false )
| ~ spl28_77
| ~ spl28_109 ),
inference(resolution,[],[f702,f2021]) ).
tff(f2021,plain,
( ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) )
| ~ spl28_109 ),
inference(avatar_component_clause,[],[f2020]) ).
tff(f2020,plain,
( spl28_109
<=> ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_109])]) ).
tff(f702,plain,
( f4($true)
| ~ spl28_77 ),
inference(avatar_component_clause,[],[f700]) ).
tff(f3761,plain,
( ~ spl28_52
| ~ spl28_59
| ~ spl28_94 ),
inference(avatar_contradiction_clause,[],[f3760]) ).
tff(f3760,plain,
( $false
| ~ spl28_52
| ~ spl28_59
| ~ spl28_94 ),
inference(trivial_inequality_removal,[],[f3759]) ).
tff(f3759,plain,
( ( $true = $false )
| ~ spl28_52
| ~ spl28_59
| ~ spl28_94 ),
inference(forward_demodulation,[],[f355,f1682]) ).
tff(f1682,plain,
( ( $false = bG4 )
| ~ spl28_59
| ~ spl28_94 ),
inference(trivial_inequality_removal,[],[f948]) ).
tff(f948,plain,
( ( $true = $false )
| ( $false = bG4 )
| ~ spl28_59
| ~ spl28_94 ),
inference(superposition,[],[f826,f386]) ).
tff(f3742,plain,
( ~ spl28_80
| spl28_51
| ~ spl28_95 ),
inference(avatar_split_clause,[],[f954,f829,f349,f738]) ).
tff(f829,plain,
( spl28_95
<=> ( $false = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_95])]) ).
tff(f954,plain,
( ~ f5($false)
| spl28_51
| ~ spl28_95 ),
inference(superposition,[],[f351,f831]) ).
tff(f831,plain,
( ( $false = bG3 )
| ~ spl28_95 ),
inference(avatar_component_clause,[],[f829]) ).
tff(f351,plain,
( ~ f5(bG3)
| spl28_51 ),
inference(avatar_component_clause,[],[f349]) ).
tff(f3678,plain,
( ~ spl28_58
| spl28_110
| ~ spl28_6 ),
inference(avatar_split_clause,[],[f3643,f146,f2741,f380]) ).
tff(f2741,plain,
( spl28_110
<=> f6($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_110])]) ).
tff(f146,plain,
( spl28_6
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
tff(f3643,plain,
( f6($true)
| ( $true != bG1 )
| ~ spl28_6 ),
inference(forward_demodulation,[],[f117,f147]) ).
tff(f147,plain,
( ( $true = bG0 )
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f3677,plain,
( ~ spl28_34
| spl28_110
| ~ spl28_5 ),
inference(avatar_split_clause,[],[f3529,f141,f2741,f272]) ).
tff(f141,plain,
( spl28_5
<=> ( $true = bG13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
tff(f3529,plain,
( f6($true)
| ( $true != bG14 )
| ~ spl28_5 ),
inference(forward_demodulation,[],[f91,f143]) ).
tff(f143,plain,
( ( $true = bG13 )
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f3669,plain,
( ~ spl28_54
| spl28_53 ),
inference(avatar_split_clause,[],[f113,f358,f362]) ).
tff(f362,plain,
( spl28_54
<=> ( $true = bG3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_54])]) ).
tff(f358,plain,
( spl28_53
<=> f5(bG2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_53])]) ).
tff(f113,plain,
( f5(bG2)
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
( ( f5(bG2)
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ f5(bG2) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( f5(bG2)
<=> ( $true = bG3 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG3])]) ).
tff(f3606,plain,
( ~ spl28_110
| spl28_31
| ~ spl28_34 ),
inference(avatar_split_clause,[],[f2933,f272,f259,f2741]) ).
tff(f259,plain,
( spl28_31
<=> f6(bG14) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_31])]) ).
tff(f2933,plain,
( ~ f6($true)
| spl28_31
| ~ spl28_34 ),
inference(forward_demodulation,[],[f261,f274]) ).
tff(f274,plain,
( ( $true = bG14 )
| ~ spl28_34 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f261,plain,
( ~ f6(bG14)
| spl28_31 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f3599,plain,
( ~ spl28_34
| ~ spl28_59
| ~ spl28_84 ),
inference(avatar_contradiction_clause,[],[f3598]) ).
tff(f3598,plain,
( $false
| ~ spl28_34
| ~ spl28_59
| ~ spl28_84 ),
inference(trivial_inequality_removal,[],[f3597]) ).
tff(f3597,plain,
( ( $true = $false )
| ~ spl28_34
| ~ spl28_59
| ~ spl28_84 ),
inference(forward_demodulation,[],[f274,f2776]) ).
tff(f2776,plain,
( ( $false = bG14 )
| ~ spl28_59
| ~ spl28_84 ),
inference(trivial_inequality_removal,[],[f2220]) ).
tff(f2220,plain,
( ( $true = $false )
| ( $false = bG14 )
| ~ spl28_59
| ~ spl28_84 ),
inference(superposition,[],[f769,f386]) ).
tff(f3591,plain,
( ~ spl28_110
| ~ spl28_5
| spl28_33 ),
inference(avatar_split_clause,[],[f2789,f268,f141,f2741]) ).
tff(f2789,plain,
( ~ f6($true)
| ~ spl28_5
| spl28_33 ),
inference(superposition,[],[f270,f143]) ).
tff(f270,plain,
( ~ f6(bG13)
| spl28_33 ),
inference(avatar_component_clause,[],[f268]) ).
tff(f3590,plain,
( ~ spl28_32
| spl28_82
| ~ spl28_84 ),
inference(avatar_split_clause,[],[f2732,f767,f754,f263]) ).
tff(f3589,plain,
( ~ spl28_42
| spl28_63
| ~ spl28_90 ),
inference(avatar_split_clause,[],[f1060,f799,f524,f308]) ).
tff(f308,plain,
( spl28_42
<=> ( $true = bG9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_42])]) ).
tff(f1060,plain,
( f2($false)
| ( $true != bG9 )
| ~ spl28_90 ),
inference(forward_demodulation,[],[f101,f801]) ).
tff(f101,plain,
( f2(bG8)
| ( $true != bG9 ) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
( ( f2(bG8)
| ( $true != bG9 ) )
& ( ( $true = bG9 )
| ~ f2(bG8) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
( f2(bG8)
<=> ( $true = bG9 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG9])]) ).
tff(f3588,plain,
( ~ spl28_46
| spl28_45 ),
inference(avatar_split_clause,[],[f105,f322,f326]) ).
tff(f3587,plain,
( ~ spl28_44
| spl28_43 ),
inference(avatar_split_clause,[],[f103,f313,f317]) ).
tff(f313,plain,
( spl28_43
<=> f3(bG7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
tff(f3579,plain,
( ~ spl28_42
| spl28_41 ),
inference(avatar_split_clause,[],[f101,f304,f308]) ).
tff(f3578,plain,
( ~ spl28_30
| spl28_29 ),
inference(avatar_split_clause,[],[f87,f250,f254]) ).
tff(f254,plain,
( spl28_30
<=> ( $true = bG16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_30])]) ).
tff(f250,plain,
( spl28_29
<=> f6(bG15) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_29])]) ).
tff(f87,plain,
( f6(bG15)
| ( $true != bG16 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
( ( f6(bG15)
| ( $true != bG16 ) )
& ( ( $true = bG16 )
| ~ f6(bG15) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
( f6(bG15)
<=> ( $true = bG16 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG16])]) ).
tff(f3525,plain,
( ~ spl28_5
| ~ spl28_59
| ~ spl28_85 ),
inference(avatar_contradiction_clause,[],[f3524]) ).
tff(f3524,plain,
( $false
| ~ spl28_5
| ~ spl28_59
| ~ spl28_85 ),
inference(trivial_inequality_removal,[],[f3523]) ).
tff(f3523,plain,
( ( $true = $false )
| ~ spl28_5
| ~ spl28_59
| ~ spl28_85 ),
inference(forward_demodulation,[],[f143,f2802]) ).
tff(f2802,plain,
( ( $false = bG13 )
| ~ spl28_59
| ~ spl28_85 ),
inference(trivial_inequality_removal,[],[f2224]) ).
tff(f2224,plain,
( ( $true = $false )
| ( $false = bG13 )
| ~ spl28_59
| ~ spl28_85 ),
inference(superposition,[],[f774,f386]) ).
tff(f3493,plain,
( spl28_99
| ~ spl28_53
| ~ spl28_56 ),
inference(avatar_split_clause,[],[f3060,f371,f358,f987]) ).
tff(f987,plain,
( spl28_99
<=> f5($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_99])]) ).
tff(f3060,plain,
( f5($true)
| ~ spl28_53
| ~ spl28_56 ),
inference(forward_demodulation,[],[f359,f373]) ).
tff(f373,plain,
( ( $true = bG2 )
| ~ spl28_56 ),
inference(avatar_component_clause,[],[f371]) ).
tff(f359,plain,
( f5(bG2)
| ~ spl28_53 ),
inference(avatar_component_clause,[],[f358]) ).
tff(f3370,plain,
( spl28_68
| ~ spl28_35
| ~ spl28_38 ),
inference(avatar_split_clause,[],[f1202,f290,f277,f579]) ).
tff(f277,plain,
( spl28_35
<=> f1(bG11) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_35])]) ).
tff(f1202,plain,
( f1($true)
| ~ spl28_35
| ~ spl28_38 ),
inference(forward_demodulation,[],[f278,f292]) ).
tff(f278,plain,
( f1(bG11)
| ~ spl28_35 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f3353,plain,
( ~ spl28_62
| spl28_37
| ~ spl28_88 ),
inference(avatar_split_clause,[],[f1212,f787,f286,f509]) ).
tff(f286,plain,
( spl28_37
<=> f1(bG10) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_37])]) ).
tff(f1212,plain,
( ~ f1($false)
| spl28_37
| ~ spl28_88 ),
inference(forward_demodulation,[],[f288,f789]) ).
tff(f288,plain,
( ~ f1(bG10)
| spl28_37 ),
inference(avatar_component_clause,[],[f286]) ).
tff(f3336,plain,
( spl28_68
| ~ spl28_39
| ~ spl28_42 ),
inference(avatar_split_clause,[],[f1193,f308,f295,f579]) ).
tff(f1193,plain,
( f1($true)
| ~ spl28_39
| ~ spl28_42 ),
inference(forward_demodulation,[],[f296,f310]) ).
tff(f310,plain,
( ( $true = bG9 )
| ~ spl28_42 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f296,plain,
( f1(bG9)
| ~ spl28_39 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f3331,plain,
( spl28_61
| ~ spl28_9
| ~ spl28_66 ),
inference(avatar_split_clause,[],[f866,f551,f160,f483]) ).
tff(f551,plain,
( spl28_66
<=> ( $false = bG25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_66])]) ).
tff(f866,plain,
( f0($false)
| ~ spl28_9
| ~ spl28_66 ),
inference(forward_demodulation,[],[f161,f553]) ).
tff(f553,plain,
( ( $false = bG25 )
| ~ spl28_66 ),
inference(avatar_component_clause,[],[f551]) ).
tff(f161,plain,
( f0(bG25)
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f160]) ).
tff(f3330,plain,
( spl28_68
| ~ spl28_106 ),
inference(avatar_contradiction_clause,[],[f3329]) ).
tff(f3329,plain,
( $false
| spl28_68
| ~ spl28_106 ),
inference(trivial_inequality_removal,[],[f3321]) ).
tff(f3321,plain,
( ( $true = $false )
| spl28_68
| ~ spl28_106 ),
inference(resolution,[],[f580,f1282]) ).
tff(f1282,plain,
( ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) )
| ~ spl28_106 ),
inference(avatar_component_clause,[],[f1281]) ).
tff(f1281,plain,
( spl28_106
<=> ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_106])]) ).
tff(f580,plain,
( ~ f1($true)
| spl28_68 ),
inference(avatar_component_clause,[],[f579]) ).
tff(f3311,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f121,f127,f123]) ).
tff(f121,plain,
( ~ f0(bG27)
| ~ f0(bG12) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
( ( ~ f0(bG27)
| ~ f0(bG12) )
& ( f0(bG27)
| f0(bG12) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
( f0(bG12)
<~> f0(bG27) ),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
~ ( f0(bG12)
<=> f0(bG27) ),
inference(fool_elimination,[],[f2,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(f15,plain,
( f1(bG9)
<=> ( $true = bG10 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG10])]) ).
tff(f18,plain,
( x
<=> ( $true = bG13 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG13])]) ).
tff(f25,plain,
( f4(bG19)
<=> ( $true = bG20 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG20])]) ).
tff(f26,plain,
( f3(bG20)
<=> ( $true = bG21 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG21])]) ).
tff(f29,plain,
( f2(bG23)
<=> ( $true = bG24 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG24])]) ).
tff(f32,plain,
( f0(bG26)
<=> ( $true = bG27 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG27])]) ).
tff(f2,negated_conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x))))))))))))) != f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x))))))))))))) = f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski7) ).
tff(f3308,plain,
( spl28_65
| ~ spl28_1
| ~ spl28_36 ),
inference(avatar_split_clause,[],[f3298,f281,f123,f545]) ).
tff(f3298,plain,
( f0($true)
| ~ spl28_1
| ~ spl28_36 ),
inference(forward_demodulation,[],[f125,f283]) ).
tff(f3288,plain,
( ~ spl28_40
| ~ spl28_88 ),
inference(avatar_contradiction_clause,[],[f3287]) ).
tff(f3287,plain,
( $false
| ~ spl28_40
| ~ spl28_88 ),
inference(trivial_inequality_removal,[],[f3286]) ).
tff(f3286,plain,
( ( $true = $false )
| ~ spl28_40
| ~ spl28_88 ),
inference(forward_demodulation,[],[f301,f789]) ).
tff(f301,plain,
( ( $true = bG10 )
| ~ spl28_40 ),
inference(avatar_component_clause,[],[f299]) ).
tff(f299,plain,
( spl28_40
<=> ( $true = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_40])]) ).
tff(f3282,plain,
( ~ spl28_44
| ~ spl28_90 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
tff(f3281,plain,
( $false
| ~ spl28_44
| ~ spl28_90 ),
inference(trivial_inequality_removal,[],[f3280]) ).
tff(f3280,plain,
( ( $true = $false )
| ~ spl28_44
| ~ spl28_90 ),
inference(forward_demodulation,[],[f319,f801]) ).
tff(f3234,plain,
( spl28_77
| ~ spl28_49
| ~ spl28_52 ),
inference(avatar_split_clause,[],[f3229,f353,f340,f700]) ).
tff(f3229,plain,
( f4($true)
| ~ spl28_49
| ~ spl28_52 ),
inference(forward_demodulation,[],[f341,f355]) ).
tff(f341,plain,
( f4(bG4)
| ~ spl28_49 ),
inference(avatar_component_clause,[],[f340]) ).
tff(f3232,plain,
( spl28_45
| ~ spl28_46 ),
inference(avatar_split_clause,[],[f3227,f326,f322]) ).
tff(f3227,plain,
( f3(bG6)
| ~ spl28_46 ),
inference(trivial_inequality_removal,[],[f3226]) ).
tff(f3226,plain,
( ( $true != $true )
| f3(bG6)
| ~ spl28_46 ),
inference(forward_demodulation,[],[f105,f328]) ).
tff(f328,plain,
( ( $true = bG7 )
| ~ spl28_46 ),
inference(avatar_component_clause,[],[f326]) ).
tff(f3218,plain,
( ~ spl28_46
| spl28_74
| ~ spl28_48 ),
inference(avatar_split_clause,[],[f1747,f335,f674,f326]) ).
tff(f3205,plain,
( ~ spl28_73
| spl28_43
| ~ spl28_91 ),
inference(avatar_split_clause,[],[f2607,f804,f313,f664]) ).
tff(f2607,plain,
( ~ f3($false)
| spl28_43
| ~ spl28_91 ),
inference(superposition,[],[f315,f806]) ).
tff(f315,plain,
( ~ f3(bG7)
| spl28_43 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f3164,plain,
( spl28_111
| spl28_22
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f454,f385,f218,f3161]) ).
tff(f454,plain,
( ( $false = bG20 )
| spl28_22
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f430]) ).
tff(f430,plain,
( ( $true != $true )
| ( $false = bG20 )
| spl28_22
| ~ spl28_59 ),
inference(superposition,[],[f219,f386]) ).
tff(f219,plain,
( ( $true != bG20 )
| spl28_22 ),
inference(avatar_component_clause,[],[f218]) ).
tff(f3159,plain,
( ~ spl28_22
| spl28_77
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f1839,f227,f700,f218]) ).
tff(f1839,plain,
( f4($true)
| ( $true != bG20 )
| ~ spl28_24 ),
inference(forward_demodulation,[],[f79,f229]) ).
tff(f79,plain,
( f4(bG19)
| ( $true != bG20 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
( ( f4(bG19)
| ( $true != bG20 ) )
& ( ( $true = bG20 )
| ~ f4(bG19) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f3158,plain,
( ~ spl28_24
| spl28_23 ),
inference(avatar_split_clause,[],[f81,f223,f227]) ).
tff(f3157,plain,
( ~ spl28_22
| spl28_21 ),
inference(avatar_split_clause,[],[f79,f214,f218]) ).
tff(f3006,plain,
( spl28_82
| ~ spl28_34
| ~ spl28_85 ),
inference(avatar_split_clause,[],[f2996,f772,f272,f754]) ).
tff(f2996,plain,
( f6($false)
| ~ spl28_34
| ~ spl28_85 ),
inference(trivial_inequality_removal,[],[f2995]) ).
tff(f2995,plain,
( ( $true != $true )
| f6($false)
| ~ spl28_34
| ~ spl28_85 ),
inference(forward_demodulation,[],[f2761,f274]) ).
tff(f3004,plain,
( spl28_33
| ~ spl28_34 ),
inference(avatar_split_clause,[],[f2981,f272,f268]) ).
tff(f2981,plain,
( f6(bG13)
| ~ spl28_34 ),
inference(trivial_inequality_removal,[],[f2980]) ).
tff(f2980,plain,
( ( $true != $true )
| f6(bG13)
| ~ spl28_34 ),
inference(forward_demodulation,[],[f91,f274]) ).
tff(f2998,plain,
( ~ spl28_4
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f2794,f844,f137]) ).
tff(f2987,plain,
( ~ spl28_32
| ~ spl28_59
| ~ spl28_83 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
tff(f2986,plain,
( $false
| ~ spl28_32
| ~ spl28_59
| ~ spl28_83 ),
inference(trivial_inequality_removal,[],[f2985]) ).
tff(f2985,plain,
( ( $true = $false )
| ~ spl28_32
| ~ spl28_59
| ~ spl28_83 ),
inference(forward_demodulation,[],[f265,f2924]) ).
tff(f2924,plain,
( ( $false = bG15 )
| ~ spl28_59
| ~ spl28_83 ),
inference(trivial_inequality_removal,[],[f2216]) ).
tff(f2216,plain,
( ( $true = $false )
| ( $false = bG15 )
| ~ spl28_59
| ~ spl28_83 ),
inference(superposition,[],[f764,f386]) ).
tff(f764,plain,
( ( $false = bG15 )
| ~ spl28_83 ),
inference(avatar_component_clause,[],[f762]) ).
tff(f762,plain,
( spl28_83
<=> ( $false = bG15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_83])]) ).
tff(f265,plain,
( ( $true = bG15 )
| ~ spl28_32 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f2957,plain,
( ~ spl28_34
| spl28_110
| ~ spl28_5 ),
inference(avatar_split_clause,[],[f2927,f141,f2741,f272]) ).
tff(f2927,plain,
( f6($true)
| ( $true != bG14 )
| ~ spl28_5 ),
inference(forward_demodulation,[],[f91,f143]) ).
tff(f2956,plain,
( ~ spl28_32
| spl28_31 ),
inference(avatar_split_clause,[],[f89,f259,f263]) ).
tff(f2934,plain,
( spl28_29
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f2926,f254,f250]) ).
tff(f2926,plain,
( f6(bG15)
| ~ spl28_30 ),
inference(trivial_inequality_removal,[],[f2925]) ).
tff(f2925,plain,
( ( $true != $true )
| f6(bG15)
| ~ spl28_30 ),
inference(forward_demodulation,[],[f87,f256]) ).
tff(f256,plain,
( ( $true = bG16 )
| ~ spl28_30 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f2916,plain,
( spl28_110
| ~ spl28_30
| ~ spl28_32 ),
inference(avatar_split_clause,[],[f2914,f263,f254,f2741]) ).
tff(f2914,plain,
( f6($true)
| ~ spl28_30
| ~ spl28_32 ),
inference(trivial_inequality_removal,[],[f2913]) ).
tff(f2913,plain,
( ( $true != $true )
| f6($true)
| ~ spl28_30
| ~ spl28_32 ),
inference(forward_demodulation,[],[f2846,f256]) ).
tff(f2846,plain,
( f6($true)
| ( $true != bG16 )
| ~ spl28_32 ),
inference(forward_demodulation,[],[f87,f265]) ).
tff(f2912,plain,
( spl28_110
| ~ spl28_29
| ~ spl28_32 ),
inference(avatar_split_clause,[],[f2851,f263,f250,f2741]) ).
tff(f2851,plain,
( f6($true)
| ~ spl28_29
| ~ spl28_32 ),
inference(forward_demodulation,[],[f251,f265]) ).
tff(f251,plain,
( f6(bG15)
| ~ spl28_29 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f2907,plain,
( spl28_80
| ~ spl28_52
| ~ spl28_95 ),
inference(avatar_split_clause,[],[f2842,f829,f353,f738]) ).
tff(f2842,plain,
( f5($false)
| ~ spl28_52
| ~ spl28_95 ),
inference(trivial_inequality_removal,[],[f2034]) ).
tff(f2034,plain,
( ( $true != $true )
| f5($false)
| ~ spl28_52
| ~ spl28_95 ),
inference(forward_demodulation,[],[f1674,f355]) ).
tff(f1674,plain,
( f5($false)
| ( $true != bG4 )
| ~ spl28_95 ),
inference(forward_demodulation,[],[f111,f831]) ).
tff(f2903,plain,
( ~ spl28_110
| ~ spl28_6
| spl28_57 ),
inference(avatar_split_clause,[],[f2832,f376,f146,f2741]) ).
tff(f2832,plain,
( ~ f6($true)
| ~ spl28_6
| spl28_57 ),
inference(forward_demodulation,[],[f378,f147]) ).
tff(f378,plain,
( ~ f6(bG0)
| spl28_57 ),
inference(avatar_component_clause,[],[f376]) ).
tff(f2881,plain,
( ~ spl28_80
| spl28_53
| ~ spl28_59
| ~ spl28_96 ),
inference(avatar_split_clause,[],[f2681,f834,f385,f358,f738]) ).
tff(f834,plain,
( spl28_96
<=> ( $false = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_96])]) ).
tff(f2681,plain,
( ~ f5($false)
| spl28_53
| ~ spl28_59
| ~ spl28_96 ),
inference(forward_demodulation,[],[f360,f2668]) ).
tff(f2668,plain,
( ( $false = bG2 )
| ~ spl28_59
| ~ spl28_96 ),
inference(trivial_inequality_removal,[],[f2649]) ).
tff(f2649,plain,
( ( $true = $false )
| ( $false = bG2 )
| ~ spl28_59
| ~ spl28_96 ),
inference(superposition,[],[f836,f386]) ).
tff(f836,plain,
( ( $false = bG2 )
| ~ spl28_96 ),
inference(avatar_component_clause,[],[f834]) ).
tff(f360,plain,
( ~ f5(bG2)
| spl28_53 ),
inference(avatar_component_clause,[],[f358]) ).
tff(f2864,plain,
( spl28_99
| ~ spl28_55
| ~ spl28_58 ),
inference(avatar_split_clause,[],[f2691,f380,f367,f987]) ).
tff(f367,plain,
( spl28_55
<=> f5(bG1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_55])]) ).
tff(f2691,plain,
( f5($true)
| ~ spl28_55
| ~ spl28_58 ),
inference(forward_demodulation,[],[f368,f382]) ).
tff(f382,plain,
( ( $true = bG1 )
| ~ spl28_58 ),
inference(avatar_component_clause,[],[f380]) ).
tff(f368,plain,
( f5(bG1)
| ~ spl28_55 ),
inference(avatar_component_clause,[],[f367]) ).
tff(f2833,plain,
( spl28_110
| ~ spl28_6
| ~ spl28_58 ),
inference(avatar_split_clause,[],[f2831,f380,f146,f2741]) ).
tff(f2831,plain,
( f6($true)
| ~ spl28_6
| ~ spl28_58 ),
inference(trivial_inequality_removal,[],[f2830]) ).
tff(f2830,plain,
( ( $true != $true )
| f6($true)
| ~ spl28_6
| ~ spl28_58 ),
inference(forward_demodulation,[],[f2829,f382]) ).
tff(f2829,plain,
( f6($true)
| ( $true != bG1 )
| ~ spl28_6 ),
inference(forward_demodulation,[],[f117,f147]) ).
tff(f2828,plain,
( spl28_110
| ~ spl28_6
| ~ spl28_57
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f2815,f385,f376,f146,f2741]) ).
tff(f2815,plain,
( f6($true)
| ~ spl28_6
| ~ spl28_57
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f2814]) ).
tff(f2814,plain,
( ( $true = $false )
| f6($true)
| ~ spl28_6
| ~ spl28_57
| ~ spl28_59 ),
inference(forward_demodulation,[],[f2811,f147]) ).
tff(f2811,plain,
( f6($true)
| ( $false = bG0 )
| ~ spl28_57
| ~ spl28_59 ),
inference(superposition,[],[f377,f386]) ).
tff(f377,plain,
( f6(bG0)
| ~ spl28_57 ),
inference(avatar_component_clause,[],[f376]) ).
tff(f2816,plain,
( spl28_82
| ~ spl28_32
| ~ spl28_84 ),
inference(avatar_split_clause,[],[f2806,f767,f263,f754]) ).
tff(f2806,plain,
( f6($false)
| ~ spl28_32
| ~ spl28_84 ),
inference(trivial_inequality_removal,[],[f2805]) ).
tff(f2805,plain,
( ( $true != $true )
| f6($false)
| ~ spl28_32
| ~ spl28_84 ),
inference(forward_demodulation,[],[f2732,f265]) ).
tff(f2795,plain,
( ~ spl28_4
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f2794,f844,f137]) ).
tff(f2792,plain,
( ~ spl28_5
| spl28_4 ),
inference(avatar_split_clause,[],[f93,f137,f141]) ).
tff(f93,plain,
( x
| ( $true != bG13 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
( ( x
| ( $true != bG13 ) )
& ( ( $true = bG13 )
| ~ x ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f2783,plain,
( ~ spl28_82
| spl28_33
| ~ spl28_85 ),
inference(avatar_split_clause,[],[f911,f772,f268,f754]) ).
tff(f911,plain,
( ~ f6($false)
| spl28_33
| ~ spl28_85 ),
inference(superposition,[],[f270,f774]) ).
tff(f2768,plain,
( spl28_110
| ~ spl28_31
| ~ spl28_34 ),
inference(avatar_split_clause,[],[f2767,f272,f259,f2741]) ).
tff(f2767,plain,
( f6($true)
| ~ spl28_31
| ~ spl28_34 ),
inference(forward_demodulation,[],[f260,f274]) ).
tff(f260,plain,
( f6(bG14)
| ~ spl28_31 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f2766,plain,
( spl28_31
| ~ spl28_32 ),
inference(avatar_split_clause,[],[f2765,f263,f259]) ).
tff(f2765,plain,
( f6(bG14)
| ~ spl28_32 ),
inference(trivial_inequality_removal,[],[f2764]) ).
tff(f2764,plain,
( ( $true != $true )
| f6(bG14)
| ~ spl28_32 ),
inference(forward_demodulation,[],[f89,f265]) ).
tff(f2760,plain,
( ~ spl28_82
| spl28_31
| ~ spl28_84 ),
inference(avatar_split_clause,[],[f2222,f767,f259,f754]) ).
tff(f2222,plain,
( ~ f6($false)
| spl28_31
| ~ spl28_84 ),
inference(superposition,[],[f261,f769]) ).
tff(f2744,plain,
( ~ spl28_110
| spl28_29
| ~ spl28_32 ),
inference(avatar_split_clause,[],[f2737,f263,f250,f2741]) ).
tff(f2737,plain,
( ~ f6($true)
| spl28_29
| ~ spl28_32 ),
inference(superposition,[],[f252,f265]) ).
tff(f252,plain,
( ~ f6(bG15)
| spl28_29 ),
inference(avatar_component_clause,[],[f250]) ).
tff(f2730,plain,
( ~ spl28_82
| spl28_29
| ~ spl28_83 ),
inference(avatar_split_clause,[],[f891,f762,f250,f754]) ).
tff(f891,plain,
( ~ f6($false)
| spl28_29
| ~ spl28_83 ),
inference(superposition,[],[f252,f764]) ).
tff(f2706,plain,
( ~ spl28_58
| spl28_82
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f2657,f844,f754,f380]) ).
tff(f2705,plain,
( ~ spl28_56
| spl28_55 ),
inference(avatar_split_clause,[],[f115,f367,f371]) ).
tff(f2688,plain,
( spl28_53
| ~ spl28_54 ),
inference(avatar_split_clause,[],[f2678,f362,f358]) ).
tff(f2678,plain,
( f5(bG2)
| ~ spl28_54 ),
inference(trivial_inequality_removal,[],[f2677]) ).
tff(f2677,plain,
( ( $true != $true )
| f5(bG2)
| ~ spl28_54 ),
inference(forward_demodulation,[],[f113,f364]) ).
tff(f364,plain,
( ( $true = bG3 )
| ~ spl28_54 ),
inference(avatar_component_clause,[],[f362]) ).
tff(f2661,plain,
( spl28_55
| ~ spl28_58
| ~ spl28_107 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
tff(f2660,plain,
( $false
| spl28_55
| ~ spl28_58
| ~ spl28_107 ),
inference(trivial_inequality_removal,[],[f2659]) ).
tff(f2659,plain,
( ( $true = $false )
| spl28_55
| ~ spl28_58
| ~ spl28_107 ),
inference(forward_demodulation,[],[f382,f1306]) ).
tff(f1306,plain,
( ( $false = bG1 )
| spl28_55
| ~ spl28_107 ),
inference(resolution,[],[f1288,f369]) ).
tff(f369,plain,
( ~ f5(bG1)
| spl28_55 ),
inference(avatar_component_clause,[],[f367]) ).
tff(f1288,plain,
( ! [X0: $o] :
( f5((X0))
| ( $false = (X0) ) )
| ~ spl28_107 ),
inference(avatar_component_clause,[],[f1287]) ).
tff(f1287,plain,
( spl28_107
<=> ! [X0: $o] :
( f5((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_107])]) ).
tff(f2654,plain,
( spl28_80
| ~ spl28_53
| ~ spl28_96 ),
inference(avatar_split_clause,[],[f2650,f834,f358,f738]) ).
tff(f2650,plain,
( f5($false)
| ~ spl28_53
| ~ spl28_96 ),
inference(superposition,[],[f359,f836]) ).
tff(f2639,plain,
( spl28_81
| spl28_27
| ~ spl28_107 ),
inference(avatar_split_clause,[],[f2058,f1287,f241,f746]) ).
tff(f2058,plain,
( ( $false = bG16 )
| spl28_27
| ~ spl28_107 ),
inference(resolution,[],[f243,f1288]) ).
tff(f243,plain,
( ~ f5(bG16)
| spl28_27 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f2611,plain,
( spl28_90
| spl28_41
| ~ spl28_101 ),
inference(avatar_split_clause,[],[f1274,f1036,f304,f799]) ).
tff(f1036,plain,
( spl28_101
<=> ! [X0: $o] :
( f2((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_101])]) ).
tff(f1274,plain,
( ( $false = bG8 )
| spl28_41
| ~ spl28_101 ),
inference(resolution,[],[f1037,f306]) ).
tff(f306,plain,
( ~ f2(bG8)
| spl28_41 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f1037,plain,
( ! [X0: $o] :
( f2((X0))
| ( $false = (X0) ) )
| ~ spl28_101 ),
inference(avatar_component_clause,[],[f1036]) ).
tff(f2169,plain,
( ~ spl28_99
| ~ spl28_105 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
tff(f2168,plain,
( $false
| ~ spl28_99
| ~ spl28_105 ),
inference(trivial_inequality_removal,[],[f2166]) ).
tff(f2166,plain,
( ( $true = $false )
| ~ spl28_99
| ~ spl28_105 ),
inference(resolution,[],[f1261,f989]) ).
tff(f989,plain,
( f5($true)
| ~ spl28_99 ),
inference(avatar_component_clause,[],[f987]) ).
tff(f1261,plain,
( ! [X0: $o] :
( ~ f5((X0))
| ( $false = (X0) ) )
| ~ spl28_105 ),
inference(avatar_component_clause,[],[f1260]) ).
tff(f1260,plain,
( spl28_105
<=> ! [X0: $o] :
( ~ f5((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_105])]) ).
tff(f2160,plain,
( ~ spl28_82
| spl28_57
| ~ spl28_98 ),
inference(avatar_split_clause,[],[f965,f844,f376,f754]) ).
tff(f965,plain,
( ~ f6($false)
| spl28_57
| ~ spl28_98 ),
inference(superposition,[],[f378,f846]) ).
tff(f2150,plain,
( ~ spl28_99
| spl28_51
| ~ spl28_54 ),
inference(avatar_split_clause,[],[f2093,f362,f349,f987]) ).
tff(f2093,plain,
( ~ f5($true)
| spl28_51
| ~ spl28_54 ),
inference(superposition,[],[f351,f364]) ).
tff(f2149,plain,
( ~ spl28_56
| spl28_80
| ~ spl28_97 ),
inference(avatar_split_clause,[],[f2042,f839,f738,f371]) ).
tff(f2132,plain,
( spl28_80
| ~ spl28_56
| ~ spl28_97 ),
inference(avatar_split_clause,[],[f2116,f839,f371,f738]) ).
tff(f2116,plain,
( f5($false)
| ~ spl28_56
| ~ spl28_97 ),
inference(trivial_inequality_removal,[],[f2115]) ).
tff(f2115,plain,
( ( $true != $true )
| f5($false)
| ~ spl28_56
| ~ spl28_97 ),
inference(forward_demodulation,[],[f2042,f373]) ).
tff(f2124,plain,
( spl28_99
| ~ spl28_52
| ~ spl28_54 ),
inference(avatar_split_clause,[],[f2098,f362,f353,f987]) ).
tff(f2098,plain,
( f5($true)
| ~ spl28_52
| ~ spl28_54 ),
inference(trivial_inequality_removal,[],[f2097]) ).
tff(f2097,plain,
( ( $true != $true )
| f5($true)
| ~ spl28_52
| ~ spl28_54 ),
inference(forward_demodulation,[],[f2086,f355]) ).
tff(f2086,plain,
( f5($true)
| ( $true != bG4 )
| ~ spl28_54 ),
inference(forward_demodulation,[],[f111,f364]) ).
tff(f2118,plain,
( ~ spl28_80
| spl28_27
| ~ spl28_59
| ~ spl28_81 ),
inference(avatar_split_clause,[],[f1975,f746,f385,f241,f738]) ).
tff(f1975,plain,
( ~ f5($false)
| spl28_27
| ~ spl28_59
| ~ spl28_81 ),
inference(forward_demodulation,[],[f243,f992]) ).
tff(f2108,plain,
( spl28_99
| ~ spl28_107 ),
inference(avatar_contradiction_clause,[],[f2107]) ).
tff(f2107,plain,
( $false
| spl28_99
| ~ spl28_107 ),
inference(trivial_inequality_removal,[],[f2099]) ).
tff(f2099,plain,
( ( $true = $false )
| spl28_99
| ~ spl28_107 ),
inference(resolution,[],[f988,f1288]) ).
tff(f988,plain,
( ~ f5($true)
| spl28_99 ),
inference(avatar_component_clause,[],[f987]) ).
tff(f2096,plain,
( ~ spl28_99
| spl28_27
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f2068,f254,f241,f987]) ).
tff(f2068,plain,
( ~ f5($true)
| spl28_27
| ~ spl28_30 ),
inference(superposition,[],[f243,f256]) ).
tff(f2082,plain,
( ~ spl28_54
| ~ spl28_95 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
tff(f2081,plain,
( $false
| ~ spl28_54
| ~ spl28_95 ),
inference(trivial_inequality_removal,[],[f2080]) ).
tff(f2080,plain,
( ( $true = $false )
| ~ spl28_54
| ~ spl28_95 ),
inference(forward_demodulation,[],[f364,f831]) ).
tff(f2078,plain,
( ~ spl28_99
| spl28_53
| ~ spl28_56
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f2049,f385,f371,f358,f987]) ).
tff(f2049,plain,
( ~ f5($true)
| spl28_53
| ~ spl28_56
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f2048]) ).
tff(f2048,plain,
( ( $true = $false )
| ~ f5($true)
| spl28_53
| ~ spl28_56
| ~ spl28_59 ),
inference(forward_demodulation,[],[f395,f373]) ).
tff(f395,plain,
( ~ f5($true)
| ( $false = bG2 )
| spl28_53
| ~ spl28_59 ),
inference(superposition,[],[f360,f386]) ).
tff(f2056,plain,
( ~ spl28_80
| spl28_27
| ~ spl28_59
| ~ spl28_81 ),
inference(avatar_split_clause,[],[f1975,f746,f385,f241,f738]) ).
tff(f2046,plain,
( ~ spl28_56
| ~ spl28_96 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
tff(f2045,plain,
( $false
| ~ spl28_56
| ~ spl28_96 ),
inference(trivial_inequality_removal,[],[f2044]) ).
tff(f2044,plain,
( ( $true = $false )
| ~ spl28_56
| ~ spl28_96 ),
inference(forward_demodulation,[],[f373,f836]) ).
tff(f2041,plain,
( spl28_80
| ~ spl28_52
| ~ spl28_95 ),
inference(avatar_split_clause,[],[f2035,f829,f353,f738]) ).
tff(f2035,plain,
( f5($false)
| ~ spl28_52
| ~ spl28_95 ),
inference(trivial_inequality_removal,[],[f2034]) ).
tff(f2033,plain,
( ~ spl28_80
| spl28_55
| ~ spl28_97 ),
inference(avatar_split_clause,[],[f962,f839,f367,f738]) ).
tff(f962,plain,
( ~ f5($false)
| spl28_55
| ~ spl28_97 ),
inference(superposition,[],[f369,f841]) ).
tff(f2027,plain,
( ~ spl28_63
| spl28_41
| ~ spl28_90 ),
inference(avatar_split_clause,[],[f930,f799,f304,f524]) ).
tff(f930,plain,
( ~ f2($false)
| spl28_41
| ~ spl28_90 ),
inference(superposition,[],[f306,f801]) ).
tff(f2022,plain,
( spl28_109
| ~ spl28_59
| spl28_77 ),
inference(avatar_split_clause,[],[f722,f700,f385,f2020]) ).
tff(f722,plain,
( ! [X0: $o] :
( ~ f4((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| spl28_77 ),
inference(superposition,[],[f701,f386]) ).
tff(f1969,plain,
( spl28_77
| ~ spl28_25
| ~ spl28_28 ),
inference(avatar_split_clause,[],[f1023,f245,f232,f700]) ).
tff(f232,plain,
( spl28_25
<=> f4(bG17) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).
tff(f1023,plain,
( f4($true)
| ~ spl28_25
| ~ spl28_28 ),
inference(forward_demodulation,[],[f233,f247]) ).
tff(f247,plain,
( ( $true = bG17 )
| ~ spl28_28 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f233,plain,
( f4(bG17)
| ~ spl28_25 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f1933,plain,
( ~ spl28_74
| spl28_45
| ~ spl28_48 ),
inference(avatar_split_clause,[],[f1295,f335,f322,f674]) ).
tff(f1295,plain,
( ~ f3($true)
| spl28_45
| ~ spl28_48 ),
inference(superposition,[],[f324,f337]) ).
tff(f324,plain,
( ~ f3(bG6)
| spl28_45 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f1932,plain,
( ~ spl28_20
| spl28_19 ),
inference(avatar_split_clause,[],[f77,f205,f209]) ).
tff(f209,plain,
( spl28_20
<=> ( $true = bG21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
tff(f205,plain,
( spl28_19
<=> f3(bG20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
tff(f77,plain,
( f3(bG20)
| ( $true != bG21 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
( ( f3(bG20)
| ( $true != bG21 ) )
& ( ( $true = bG21 )
| ~ f3(bG20) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f1891,plain,
( ~ spl28_74
| spl28_43
| ~ spl28_46
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f1818,f385,f326,f313,f674]) ).
tff(f1818,plain,
( ~ f3($true)
| spl28_43
| ~ spl28_46
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f1817]) ).
tff(f1817,plain,
( ( $true = $false )
| ~ f3($true)
| spl28_43
| ~ spl28_46
| ~ spl28_59 ),
inference(forward_demodulation,[],[f405,f328]) ).
tff(f405,plain,
( ~ f3($true)
| ( $false = bG7 )
| spl28_43
| ~ spl28_59 ),
inference(superposition,[],[f315,f386]) ).
tff(f1872,plain,
( spl28_63
| ~ spl28_18
| ~ spl28_59
| ~ spl28_72 ),
inference(avatar_split_clause,[],[f1858,f633,f385,f200,f524]) ).
tff(f1866,plain,
( ~ spl28_73
| spl28_19
| spl28_22
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f1845,f385,f218,f205,f664]) ).
tff(f1845,plain,
( ~ f3($false)
| spl28_19
| spl28_22
| ~ spl28_59 ),
inference(forward_demodulation,[],[f207,f454]) ).
tff(f207,plain,
( ~ f3(bG20)
| spl28_19 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f1851,plain,
( spl28_63
| ~ spl28_16
| ~ spl28_71 ),
inference(avatar_split_clause,[],[f1820,f615,f191,f524]) ).
tff(f1820,plain,
( f2($false)
| ~ spl28_16
| ~ spl28_71 ),
inference(forward_demodulation,[],[f1707,f617]) ).
tff(f1707,plain,
( f2(bG22)
| ~ spl28_16 ),
inference(trivial_inequality_removal,[],[f619]) ).
tff(f619,plain,
( ( $true != $true )
| f2(bG22)
| ~ spl28_16 ),
inference(forward_demodulation,[],[f73,f193]) ).
tff(f193,plain,
( ( $true = bG23 )
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f1832,plain,
( ~ spl28_70
| spl28_17
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f1796,f209,f196,f602]) ).
tff(f1796,plain,
( ~ f2($true)
| spl28_17
| ~ spl28_20 ),
inference(forward_demodulation,[],[f198,f211]) ).
tff(f211,plain,
( ( $true = bG21 )
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f1806,plain,
( ~ spl28_63
| spl28_15
| ~ spl28_71 ),
inference(avatar_split_clause,[],[f1798,f615,f187,f524]) ).
tff(f187,plain,
( spl28_15
<=> f2(bG22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
tff(f1798,plain,
( ~ f2($false)
| spl28_15
| ~ spl28_71 ),
inference(forward_demodulation,[],[f189,f617]) ).
tff(f189,plain,
( ~ f2(bG22)
| spl28_15 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f1784,plain,
( ~ spl28_70
| spl28_41
| ~ spl28_44 ),
inference(avatar_split_clause,[],[f1242,f317,f304,f602]) ).
tff(f1242,plain,
( ~ f2($true)
| spl28_41
| ~ spl28_44 ),
inference(superposition,[],[f306,f319]) ).
tff(f1783,plain,
( ~ spl28_50
| spl28_49 ),
inference(avatar_split_clause,[],[f109,f340,f344]) ).
tff(f1782,plain,
( ~ spl28_48
| spl28_47 ),
inference(avatar_split_clause,[],[f107,f331,f335]) ).
tff(f1743,plain,
( ~ spl28_48
| ~ spl28_59
| ~ spl28_92 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
tff(f1742,plain,
( $false
| ~ spl28_48
| ~ spl28_59
| ~ spl28_92 ),
inference(trivial_inequality_removal,[],[f1741]) ).
tff(f1741,plain,
( ( $true = $false )
| ~ spl28_48
| ~ spl28_59
| ~ spl28_92 ),
inference(forward_demodulation,[],[f337,f1681]) ).
tff(f1735,plain,
( ~ spl28_74
| spl28_47
| ~ spl28_50 ),
inference(avatar_split_clause,[],[f1688,f344,f331,f674]) ).
tff(f1688,plain,
( ~ f3($true)
| spl28_47
| ~ spl28_50 ),
inference(forward_demodulation,[],[f333,f346]) ).
tff(f1734,plain,
( ~ spl28_70
| ~ spl28_104 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
tff(f1733,plain,
( $false
| ~ spl28_70
| ~ spl28_104 ),
inference(trivial_inequality_removal,[],[f1725]) ).
tff(f1725,plain,
( ( $true = $false )
| ~ spl28_70
| ~ spl28_104 ),
inference(resolution,[],[f604,f1237]) ).
tff(f1237,plain,
( ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) )
| ~ spl28_104 ),
inference(avatar_component_clause,[],[f1236]) ).
tff(f1236,plain,
( spl28_104
<=> ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_104])]) ).
tff(f604,plain,
( f2($true)
| ~ spl28_70 ),
inference(avatar_component_clause,[],[f602]) ).
tff(f1713,plain,
( ~ spl28_20
| ~ spl28_72 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
tff(f1712,plain,
( $false
| ~ spl28_20
| ~ spl28_72 ),
inference(trivial_inequality_removal,[],[f1711]) ).
tff(f1711,plain,
( ( $true = $false )
| ~ spl28_20
| ~ spl28_72 ),
inference(forward_demodulation,[],[f211,f635]) ).
tff(f1706,plain,
( ~ spl28_74
| spl28_19
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f681,f218,f205,f674]) ).
tff(f681,plain,
( ~ f3($true)
| spl28_19
| ~ spl28_22 ),
inference(forward_demodulation,[],[f207,f220]) ).
tff(f1705,plain,
( ~ spl28_74
| ~ spl28_102 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
tff(f1704,plain,
( $false
| ~ spl28_74
| ~ spl28_102 ),
inference(trivial_inequality_removal,[],[f1696]) ).
tff(f1696,plain,
( ( $true = $false )
| ~ spl28_74
| ~ spl28_102 ),
inference(resolution,[],[f676,f1041]) ).
tff(f1041,plain,
( ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) )
| ~ spl28_102 ),
inference(avatar_component_clause,[],[f1040]) ).
tff(f1040,plain,
( spl28_102
<=> ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_102])]) ).
tff(f676,plain,
( f3($true)
| ~ spl28_74 ),
inference(avatar_component_clause,[],[f674]) ).
tff(f1691,plain,
( ~ spl28_46
| ~ spl28_59
| ~ spl28_91 ),
inference(avatar_contradiction_clause,[],[f1690]) ).
tff(f1690,plain,
( $false
| ~ spl28_46
| ~ spl28_59
| ~ spl28_91 ),
inference(trivial_inequality_removal,[],[f1689]) ).
tff(f1689,plain,
( ( $true = $false )
| ~ spl28_46
| ~ spl28_59
| ~ spl28_91 ),
inference(forward_demodulation,[],[f328,f1251]) ).
tff(f1251,plain,
( ( $false = bG7 )
| ~ spl28_59
| ~ spl28_91 ),
inference(trivial_inequality_removal,[],[f937]) ).
tff(f937,plain,
( ( $true = $false )
| ( $false = bG7 )
| ~ spl28_59
| ~ spl28_91 ),
inference(superposition,[],[f806,f386]) ).
tff(f1678,plain,
( spl28_49
| ~ spl28_52
| ~ spl28_103 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
tff(f1677,plain,
( $false
| spl28_49
| ~ spl28_52
| ~ spl28_103 ),
inference(trivial_inequality_removal,[],[f1676]) ).
tff(f1676,plain,
( ( $true = $false )
| spl28_49
| ~ spl28_52
| ~ spl28_103 ),
inference(forward_demodulation,[],[f355,f1279]) ).
tff(f1279,plain,
( ( $false = bG4 )
| spl28_49
| ~ spl28_103 ),
inference(resolution,[],[f1045,f342]) ).
tff(f1673,plain,
( ~ spl28_75
| spl28_49
| ~ spl28_94 ),
inference(avatar_split_clause,[],[f950,f824,f340,f685]) ).
tff(f1312,plain,
( spl28_108
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f388,f385,f1310]) ).
tff(f1310,plain,
( spl28_108
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_108])]) ).
tff(f388,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl28_59 ),
inference(superposition,[],[f386,f386]) ).
tff(f1302,plain,
( spl28_47
| ~ spl28_48 ),
inference(avatar_split_clause,[],[f1300,f335,f331]) ).
tff(f1300,plain,
( f3(bG5)
| ~ spl28_48 ),
inference(trivial_inequality_removal,[],[f1299]) ).
tff(f1299,plain,
( ( $true != $true )
| f3(bG5)
| ~ spl28_48 ),
inference(forward_demodulation,[],[f107,f337]) ).
tff(f1296,plain,
( ~ spl28_48
| spl28_74
| ~ spl28_50 ),
inference(avatar_split_clause,[],[f1293,f344,f674,f335]) ).
tff(f1292,plain,
( ~ spl28_73
| spl28_45
| ~ spl28_92 ),
inference(avatar_split_clause,[],[f942,f809,f322,f664]) ).
tff(f942,plain,
( ~ f3($false)
| spl28_45
| ~ spl28_92 ),
inference(superposition,[],[f324,f811]) ).
tff(f1289,plain,
( spl28_107
| ~ spl28_59
| ~ spl28_99 ),
inference(avatar_split_clause,[],[f1263,f987,f385,f1287]) ).
tff(f1263,plain,
( ! [X0: $o] :
( f5((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| ~ spl28_99 ),
inference(superposition,[],[f989,f386]) ).
tff(f1283,plain,
( spl28_106
| ~ spl28_59
| ~ spl28_68 ),
inference(avatar_split_clause,[],[f1175,f579,f385,f1281]) ).
tff(f1175,plain,
( ! [X0: $o] :
( f1((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| ~ spl28_68 ),
inference(superposition,[],[f581,f386]) ).
tff(f581,plain,
( f1($true)
| ~ spl28_68 ),
inference(avatar_component_clause,[],[f579]) ).
tff(f1276,plain,
( spl28_70
| ~ spl28_101 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
tff(f1275,plain,
( $false
| spl28_70
| ~ spl28_101 ),
inference(trivial_inequality_removal,[],[f1273]) ).
tff(f1273,plain,
( ( $true = $false )
| spl28_70
| ~ spl28_101 ),
inference(resolution,[],[f1037,f603]) ).
tff(f603,plain,
( ~ f2($true)
| spl28_70 ),
inference(avatar_component_clause,[],[f602]) ).
tff(f1272,plain,
( ~ spl28_68
| ~ spl28_100 ),
inference(avatar_contradiction_clause,[],[f1271]) ).
tff(f1271,plain,
( $false
| ~ spl28_68
| ~ spl28_100 ),
inference(trivial_inequality_removal,[],[f1270]) ).
tff(f1270,plain,
( ( $true = $false )
| ~ spl28_68
| ~ spl28_100 ),
inference(resolution,[],[f1033,f581]) ).
tff(f1033,plain,
( ! [X0: $o] :
( ~ f1((X0))
| ( $false = (X0) ) )
| ~ spl28_100 ),
inference(avatar_component_clause,[],[f1032]) ).
tff(f1032,plain,
( spl28_100
<=> ! [X0: $o] :
( ~ f1((X0))
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_100])]) ).
tff(f1264,plain,
( ~ spl28_73
| spl28_47
| ~ spl28_93 ),
inference(avatar_split_clause,[],[f946,f816,f331,f664]) ).
tff(f946,plain,
( ~ f3($false)
| spl28_47
| ~ spl28_93 ),
inference(superposition,[],[f333,f818]) ).
tff(f1262,plain,
( spl28_105
| ~ spl28_59
| spl28_99 ),
inference(avatar_split_clause,[],[f998,f987,f385,f1260]) ).
tff(f998,plain,
( ! [X0: $o] :
( ~ f5((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| spl28_99 ),
inference(superposition,[],[f988,f386]) ).
tff(f1256,plain,
( spl28_73
| ~ spl28_44
| ~ spl28_91 ),
inference(avatar_split_clause,[],[f1253,f804,f317,f664]) ).
tff(f1253,plain,
( f3($false)
| ~ spl28_44
| ~ spl28_91 ),
inference(trivial_inequality_removal,[],[f1252]) ).
tff(f1252,plain,
( ( $true != $true )
| f3($false)
| ~ spl28_44
| ~ spl28_91 ),
inference(forward_demodulation,[],[f1240,f319]) ).
tff(f1240,plain,
( f3($false)
| ( $true != bG8 )
| ~ spl28_91 ),
inference(forward_demodulation,[],[f103,f806]) ).
tff(f1249,plain,
( spl28_74
| ~ spl28_43
| ~ spl28_46 ),
inference(avatar_split_clause,[],[f1248,f326,f313,f674]) ).
tff(f1248,plain,
( f3($true)
| ~ spl28_43
| ~ spl28_46 ),
inference(forward_demodulation,[],[f314,f328]) ).
tff(f314,plain,
( f3(bG7)
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f1247,plain,
( spl28_43
| ~ spl28_44 ),
inference(avatar_split_clause,[],[f1246,f317,f313]) ).
tff(f1246,plain,
( f3(bG7)
| ~ spl28_44 ),
inference(trivial_inequality_removal,[],[f1245]) ).
tff(f1245,plain,
( ( $true != $true )
| f3(bG7)
| ~ spl28_44 ),
inference(forward_demodulation,[],[f103,f319]) ).
tff(f1243,plain,
( ~ spl28_44
| spl28_73
| ~ spl28_91 ),
inference(avatar_split_clause,[],[f1240,f804,f664,f317]) ).
tff(f1239,plain,
( ~ spl28_63
| spl28_41
| ~ spl28_90 ),
inference(avatar_split_clause,[],[f930,f799,f304,f524]) ).
tff(f1238,plain,
( spl28_104
| ~ spl28_59
| spl28_70 ),
inference(avatar_split_clause,[],[f612,f602,f385,f1236]) ).
tff(f612,plain,
( ! [X0: $o] :
( ~ f2((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| spl28_70 ),
inference(superposition,[],[f603,f386]) ).
tff(f1216,plain,
( ~ spl28_68
| spl28_39
| ~ spl28_42 ),
inference(avatar_split_clause,[],[f1189,f308,f295,f579]) ).
tff(f1189,plain,
( ~ f1($true)
| spl28_39
| ~ spl28_42 ),
inference(superposition,[],[f297,f310]) ).
tff(f1215,plain,
( ~ spl28_38
| spl28_37 ),
inference(avatar_split_clause,[],[f97,f286,f290]) ).
tff(f1201,plain,
( ~ spl28_36
| ~ spl28_59
| ~ spl28_86 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
tff(f1200,plain,
( $false
| ~ spl28_36
| ~ spl28_59
| ~ spl28_86 ),
inference(trivial_inequality_removal,[],[f1199]) ).
tff(f1199,plain,
( ( $true = $false )
| ~ spl28_36
| ~ spl28_59
| ~ spl28_86 ),
inference(forward_demodulation,[],[f283,f1076]) ).
tff(f1195,plain,
( ~ spl28_68
| spl28_35
| ~ spl28_38 ),
inference(avatar_split_clause,[],[f1188,f290,f277,f579]) ).
tff(f1188,plain,
( ~ f1($true)
| spl28_35
| ~ spl28_38 ),
inference(superposition,[],[f279,f292]) ).
tff(f279,plain,
( ~ f1(bG11)
| spl28_35 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f1192,plain,
( ~ spl28_40
| spl28_39 ),
inference(avatar_split_clause,[],[f99,f295,f299]) ).
tff(f99,plain,
( f1(bG9)
| ( $true != bG10 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
( ( f1(bG9)
| ( $true != bG10 ) )
& ( ( $true = bG10 )
| ~ f1(bG9) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f1191,plain,
( ~ spl28_14
| spl28_13 ),
inference(avatar_split_clause,[],[f71,f178,f182]) ).
tff(f71,plain,
( f2(bG23)
| ( $true != bG24 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( ( f2(bG23)
| ( $true != bG24 ) )
& ( ( $true = bG24 )
| ~ f2(bG23) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f1190,plain,
( ~ spl28_8
| spl28_7 ),
inference(avatar_split_clause,[],[f65,f151,f155]) ).
tff(f151,plain,
( spl28_7
<=> f0(bG26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
tff(f65,plain,
( f0(bG26)
| ( $true != bG27 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ( f0(bG26)
| ( $true != bG27 ) )
& ( ( $true = bG27 )
| ~ f0(bG26) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f1185,plain,
( ~ spl28_38
| ~ spl28_59
| ~ spl28_87 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
tff(f1184,plain,
( $false
| ~ spl28_38
| ~ spl28_59
| ~ spl28_87 ),
inference(trivial_inequality_removal,[],[f1183]) ).
tff(f1183,plain,
( ( $true = $false )
| ~ spl28_38
| ~ spl28_59
| ~ spl28_87 ),
inference(forward_demodulation,[],[f292,f1095]) ).
tff(f1095,plain,
( ( $false = bG11 )
| ~ spl28_59
| ~ spl28_87 ),
inference(trivial_inequality_removal,[],[f918]) ).
tff(f918,plain,
( ( $true = $false )
| ( $false = bG11 )
| ~ spl28_59
| ~ spl28_87 ),
inference(superposition,[],[f784,f386]) ).
tff(f784,plain,
( ( $false = bG11 )
| ~ spl28_87 ),
inference(avatar_component_clause,[],[f782]) ).
tff(f782,plain,
( spl28_87
<=> ( $false = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_87])]) ).
tff(f1176,plain,
( ~ spl28_68
| spl28_37
| ~ spl28_40 ),
inference(avatar_split_clause,[],[f1100,f299,f286,f579]) ).
tff(f1100,plain,
( ~ f1($true)
| spl28_37
| ~ spl28_40 ),
inference(forward_demodulation,[],[f288,f301]) ).
tff(f1159,plain,
( ~ spl28_12
| ~ spl28_66 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
tff(f1158,plain,
( $false
| ~ spl28_12
| ~ spl28_66 ),
inference(trivial_inequality_removal,[],[f1157]) ).
tff(f1157,plain,
( ( $true = $false )
| ~ spl28_12
| ~ spl28_66 ),
inference(forward_demodulation,[],[f175,f553]) ).
tff(f1142,plain,
( spl28_61
| ~ spl28_1
| ~ spl28_59
| ~ spl28_86 ),
inference(avatar_split_clause,[],[f1110,f777,f385,f123,f483]) ).
tff(f1136,plain,
( ~ spl28_61
| spl28_2
| ~ spl28_59
| ~ spl28_60 ),
inference(avatar_split_clause,[],[f1135,f476,f385,f127,f483]) ).
tff(f1135,plain,
( ~ f0($false)
| spl28_2
| ~ spl28_59
| ~ spl28_60 ),
inference(forward_demodulation,[],[f128,f1131]) ).
tff(f1134,plain,
( ~ spl28_2
| ~ spl28_61
| ~ spl28_59
| ~ spl28_86 ),
inference(avatar_split_clause,[],[f1103,f777,f385,f483,f127]) ).
tff(f1103,plain,
( ~ f0($false)
| ~ f0(bG27)
| ~ spl28_59
| ~ spl28_86 ),
inference(forward_demodulation,[],[f121,f1076]) ).
tff(f1129,plain,
( spl28_65
| ~ spl28_8
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f1128,f164,f155,f545]) ).
tff(f1128,plain,
( f0($true)
| ~ spl28_8
| ~ spl28_10 ),
inference(trivial_inequality_removal,[],[f1127]) ).
tff(f1127,plain,
( ( $true != $true )
| f0($true)
| ~ spl28_8
| ~ spl28_10 ),
inference(forward_demodulation,[],[f1125,f157]) ).
tff(f1125,plain,
( f0($true)
| ( $true != bG27 )
| ~ spl28_10 ),
inference(forward_demodulation,[],[f65,f166]) ).
tff(f166,plain,
( ( $true = bG26 )
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f1126,plain,
( ~ spl28_61
| ~ spl28_65
| ~ spl28_8
| ~ spl28_59
| ~ spl28_86 ),
inference(avatar_split_clause,[],[f1113,f777,f385,f155,f545,f483]) ).
tff(f1113,plain,
( ~ f0($true)
| ~ f0($false)
| ~ spl28_8
| ~ spl28_59
| ~ spl28_86 ),
inference(forward_demodulation,[],[f1103,f157]) ).
tff(f1120,plain,
( ~ spl28_10
| ~ spl28_59
| ~ spl28_64 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
tff(f1119,plain,
( $false
| ~ spl28_10
| ~ spl28_59
| ~ spl28_64 ),
inference(trivial_inequality_removal,[],[f1118]) ).
tff(f1118,plain,
( ( $true = $false )
| ~ spl28_10
| ~ spl28_59
| ~ spl28_64 ),
inference(forward_demodulation,[],[f166,f1075]) ).
tff(f1075,plain,
( ( $false = bG26 )
| ~ spl28_59
| ~ spl28_64 ),
inference(trivial_inequality_removal,[],[f851]) ).
tff(f851,plain,
( ( $true = $false )
| ( $false = bG26 )
| ~ spl28_59
| ~ spl28_64 ),
inference(superposition,[],[f535,f386]) ).
tff(f535,plain,
( ( $false = bG26 )
| ~ spl28_64 ),
inference(avatar_component_clause,[],[f533]) ).
tff(f533,plain,
( spl28_64
<=> ( $false = bG26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_64])]) ).
tff(f1111,plain,
( ~ spl28_61
| spl28_9
| ~ spl28_66 ),
inference(avatar_split_clause,[],[f1085,f551,f160,f483]) ).
tff(f1085,plain,
( ~ f0($false)
| spl28_9
| ~ spl28_66 ),
inference(forward_demodulation,[],[f162,f553]) ).
tff(f1101,plain,
( spl28_61
| ~ spl28_2
| ~ spl28_60 ),
inference(avatar_split_clause,[],[f849,f476,f127,f483]) ).
tff(f849,plain,
( f0($false)
| ~ spl28_2
| ~ spl28_60 ),
inference(superposition,[],[f129,f478]) ).
tff(f1093,plain,
( spl28_68
| ~ spl28_38
| ~ spl28_40 ),
inference(avatar_split_clause,[],[f1091,f299,f290,f579]) ).
tff(f1091,plain,
( f1($true)
| ~ spl28_38
| ~ spl28_40 ),
inference(trivial_inequality_removal,[],[f1090]) ).
tff(f1090,plain,
( ( $true != $true )
| f1($true)
| ~ spl28_38
| ~ spl28_40 ),
inference(forward_demodulation,[],[f1051,f292]) ).
tff(f1051,plain,
( f1($true)
| ( $true != bG11 )
| ~ spl28_40 ),
inference(forward_demodulation,[],[f97,f301]) ).
tff(f1089,plain,
( spl28_62
| ~ spl28_37
| ~ spl28_88 ),
inference(avatar_split_clause,[],[f1088,f787,f286,f509]) ).
tff(f1088,plain,
( f1($false)
| ~ spl28_37
| ~ spl28_88 ),
inference(forward_demodulation,[],[f287,f789]) ).
tff(f287,plain,
( f1(bG10)
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f286]) ).
tff(f1087,plain,
( spl28_37
| ~ spl28_38 ),
inference(avatar_split_clause,[],[f1067,f290,f286]) ).
tff(f1067,plain,
( f1(bG10)
| ~ spl28_38 ),
inference(trivial_inequality_removal,[],[f1066]) ).
tff(f1070,plain,
( spl28_35
| ~ spl28_36 ),
inference(avatar_split_clause,[],[f1055,f281,f277]) ).
tff(f1055,plain,
( f1(bG11)
| ~ spl28_36 ),
inference(trivial_inequality_removal,[],[f1054]) ).
tff(f1054,plain,
( ( $true != $true )
| f1(bG11)
| ~ spl28_36 ),
inference(forward_demodulation,[],[f95,f283]) ).
tff(f1063,plain,
( ~ spl28_42
| ~ spl28_89 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
tff(f1062,plain,
( $false
| ~ spl28_42
| ~ spl28_89 ),
inference(trivial_inequality_removal,[],[f1061]) ).
tff(f1061,plain,
( ( $true = $false )
| ~ spl28_42
| ~ spl28_89 ),
inference(forward_demodulation,[],[f310,f796]) ).
tff(f1056,plain,
( spl28_62
| ~ spl28_40
| spl28_42
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f1053,f385,f308,f299,f509]) ).
tff(f1053,plain,
( f1($false)
| ~ spl28_40
| spl28_42
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f1052]) ).
tff(f1052,plain,
( ( $true != $true )
| f1($false)
| ~ spl28_40
| spl28_42
| ~ spl28_59 ),
inference(forward_demodulation,[],[f791,f301]) ).
tff(f791,plain,
( f1($false)
| ( $true != bG10 )
| spl28_42
| ~ spl28_59 ),
inference(forward_demodulation,[],[f99,f465]) ).
tff(f465,plain,
( ( $false = bG9 )
| spl28_42
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f408]) ).
tff(f408,plain,
( ( $true != $true )
| ( $false = bG9 )
| spl28_42
| ~ spl28_59 ),
inference(superposition,[],[f309,f386]) ).
tff(f309,plain,
( ( $true != bG9 )
| spl28_42 ),
inference(avatar_component_clause,[],[f308]) ).
tff(f1050,plain,
( spl28_62
| ~ spl28_36
| ~ spl28_87 ),
inference(avatar_split_clause,[],[f1049,f782,f281,f509]) ).
tff(f1049,plain,
( f1($false)
| ~ spl28_36
| ~ spl28_87 ),
inference(trivial_inequality_removal,[],[f1048]) ).
tff(f1048,plain,
( ( $true != $true )
| f1($false)
| ~ spl28_36
| ~ spl28_87 ),
inference(forward_demodulation,[],[f933,f283]) ).
tff(f933,plain,
( f1($false)
| ( $true != bG12 )
| ~ spl28_87 ),
inference(forward_demodulation,[],[f95,f784]) ).
tff(f1047,plain,
( ~ spl28_62
| spl28_35
| ~ spl28_87 ),
inference(avatar_split_clause,[],[f920,f782,f277,f509]) ).
tff(f920,plain,
( ~ f1($false)
| spl28_35
| ~ spl28_87 ),
inference(superposition,[],[f279,f784]) ).
tff(f1046,plain,
( spl28_103
| ~ spl28_59
| ~ spl28_77 ),
inference(avatar_split_clause,[],[f704,f700,f385,f1044]) ).
tff(f704,plain,
( ! [X0: $o] :
( f4((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| ~ spl28_77 ),
inference(superposition,[],[f702,f386]) ).
tff(f1042,plain,
( spl28_102
| ~ spl28_59
| spl28_74 ),
inference(avatar_split_clause,[],[f683,f674,f385,f1040]) ).
tff(f683,plain,
( ! [X0: $o] :
( ~ f3((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| spl28_74 ),
inference(superposition,[],[f675,f386]) ).
tff(f675,plain,
( ~ f3($true)
| spl28_74 ),
inference(avatar_component_clause,[],[f674]) ).
tff(f1038,plain,
( spl28_101
| ~ spl28_59
| ~ spl28_70 ),
inference(avatar_split_clause,[],[f643,f602,f385,f1036]) ).
tff(f643,plain,
( ! [X0: $o] :
( f2((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| ~ spl28_70 ),
inference(superposition,[],[f604,f386]) ).
tff(f1034,plain,
( spl28_100
| ~ spl28_59
| spl28_68 ),
inference(avatar_split_clause,[],[f589,f579,f385,f1032]) ).
tff(f589,plain,
( ! [X0: $o] :
( ~ f1((X0))
| ( $false = (X0) ) )
| ~ spl28_59
| spl28_68 ),
inference(superposition,[],[f580,f386]) ).
tff(f1026,plain,
( ~ spl28_26
| spl28_25 ),
inference(avatar_split_clause,[],[f83,f232,f236]) ).
tff(f1024,plain,
( spl28_23
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f1016,f227,f223]) ).
tff(f1016,plain,
( f4(bG18)
| ~ spl28_24 ),
inference(trivial_inequality_removal,[],[f1015]) ).
tff(f1011,plain,
( spl28_75
| ~ spl28_24
| spl28_26
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f1007,f385,f236,f227,f685]) ).
tff(f1007,plain,
( f4($false)
| ~ spl28_24
| spl28_26
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f1006]) ).
tff(f1006,plain,
( ( $true != $true )
| f4($false)
| ~ spl28_24
| spl28_26
| ~ spl28_59 ),
inference(forward_demodulation,[],[f696,f229]) ).
tff(f696,plain,
( f4($false)
| ( $true != bG19 )
| spl28_26
| ~ spl28_59 ),
inference(forward_demodulation,[],[f81,f456]) ).
tff(f456,plain,
( ( $false = bG18 )
| spl28_26
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f426]) ).
tff(f426,plain,
( ( $true != $true )
| ( $false = bG18 )
| spl28_26
| ~ spl28_59 ),
inference(superposition,[],[f237,f386]) ).
tff(f237,plain,
( ( $true != bG18 )
| spl28_26 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f1002,plain,
( ~ spl28_77
| spl28_25
| ~ spl28_28 ),
inference(avatar_split_clause,[],[f736,f245,f232,f700]) ).
tff(f736,plain,
( ~ f4($true)
| spl28_25
| ~ spl28_28 ),
inference(superposition,[],[f234,f247]) ).
tff(f234,plain,
( ~ f4(bG17)
| spl28_25 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f1001,plain,
( spl28_80
| ~ spl28_28
| ~ spl28_81 ),
inference(avatar_split_clause,[],[f996,f746,f245,f738]) ).
tff(f996,plain,
( f5($false)
| ~ spl28_28
| ~ spl28_81 ),
inference(trivial_inequality_removal,[],[f995]) ).
tff(f995,plain,
( ( $true != $true )
| f5($false)
| ~ spl28_28
| ~ spl28_81 ),
inference(forward_demodulation,[],[f977,f247]) ).
tff(f977,plain,
( f5($false)
| ( $true != bG17 )
| ~ spl28_81 ),
inference(forward_demodulation,[],[f85,f748]) ).
tff(f999,plain,
( spl28_27
| ~ spl28_28 ),
inference(avatar_split_clause,[],[f994,f245,f241]) ).
tff(f994,plain,
( f5(bG16)
| ~ spl28_28 ),
inference(trivial_inequality_removal,[],[f993]) ).
tff(f993,plain,
( ( $true != $true )
| f5(bG16)
| ~ spl28_28 ),
inference(forward_demodulation,[],[f85,f247]) ).
tff(f990,plain,
( spl28_99
| ~ spl28_28
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f985,f254,f245,f987]) ).
tff(f985,plain,
( f5($true)
| ~ spl28_28
| ~ spl28_30 ),
inference(trivial_inequality_removal,[],[f984]) ).
tff(f984,plain,
( ( $true != $true )
| f5($true)
| ~ spl28_28
| ~ spl28_30 ),
inference(forward_demodulation,[],[f983,f247]) ).
tff(f983,plain,
( f5($true)
| ( $true != bG17 )
| ~ spl28_30 ),
inference(forward_demodulation,[],[f85,f256]) ).
tff(f980,plain,
( ~ spl28_30
| ~ spl28_81 ),
inference(avatar_contradiction_clause,[],[f979]) ).
tff(f979,plain,
( $false
| ~ spl28_30
| ~ spl28_81 ),
inference(trivial_inequality_removal,[],[f978]) ).
tff(f978,plain,
( ( $true = $false )
| ~ spl28_30
| ~ spl28_81 ),
inference(forward_demodulation,[],[f256,f748]) ).
tff(f974,plain,
( ~ spl28_26
| ~ spl28_78 ),
inference(avatar_contradiction_clause,[],[f973]) ).
tff(f973,plain,
( $false
| ~ spl28_26
| ~ spl28_78 ),
inference(trivial_inequality_removal,[],[f972]) ).
tff(f972,plain,
( ( $true = $false )
| ~ spl28_26
| ~ spl28_78 ),
inference(forward_demodulation,[],[f238,f709]) ).
tff(f968,plain,
( ~ spl28_75
| spl28_25
| ~ spl28_79 ),
inference(avatar_split_clause,[],[f884,f724,f232,f685]) ).
tff(f884,plain,
( ~ f4($false)
| spl28_25
| ~ spl28_79 ),
inference(superposition,[],[f234,f726]) ).
tff(f932,plain,
( ~ spl28_61
| spl28_1
| ~ spl28_86 ),
inference(avatar_split_clause,[],[f916,f777,f123,f483]) ).
tff(f916,plain,
( ~ f0($false)
| spl28_1
| ~ spl28_86 ),
inference(superposition,[],[f124,f779]) ).
tff(f899,plain,
( ~ spl28_24
| ~ spl28_76 ),
inference(avatar_contradiction_clause,[],[f898]) ).
tff(f898,plain,
( $false
| ~ spl28_24
| ~ spl28_76 ),
inference(trivial_inequality_removal,[],[f897]) ).
tff(f897,plain,
( ( $true = $false )
| ~ spl28_24
| ~ spl28_76 ),
inference(forward_demodulation,[],[f229,f692]) ).
tff(f893,plain,
( ~ spl28_75
| spl28_23
| ~ spl28_78 ),
inference(avatar_split_clause,[],[f881,f707,f223,f685]) ).
tff(f881,plain,
( ~ f4($false)
| spl28_23
| ~ spl28_78 ),
inference(superposition,[],[f225,f709]) ).
tff(f859,plain,
( ~ spl28_61
| spl28_7
| ~ spl28_64 ),
inference(avatar_split_clause,[],[f852,f533,f151,f483]) ).
tff(f852,plain,
( ~ f0($false)
| spl28_7
| ~ spl28_64 ),
inference(superposition,[],[f153,f535]) ).
tff(f153,plain,
( ~ f0(bG26)
| spl28_7 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f847,plain,
( spl28_98
| spl28_6
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f474,f385,f146,f844]) ).
tff(f474,plain,
( ( $false = bG0 )
| spl28_6
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f391]) ).
tff(f391,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl28_6
| ~ spl28_59 ),
inference(superposition,[],[f148,f386]) ).
tff(f148,plain,
( ( $true != bG0 )
| spl28_6 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f842,plain,
( spl28_97
| spl28_58
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f473,f385,f380,f839]) ).
tff(f473,plain,
( ( $false = bG1 )
| spl28_58
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f392]) ).
tff(f392,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl28_58
| ~ spl28_59 ),
inference(superposition,[],[f381,f386]) ).
tff(f381,plain,
( ( $true != bG1 )
| spl28_58 ),
inference(avatar_component_clause,[],[f380]) ).
tff(f837,plain,
( spl28_96
| spl28_56
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f472,f385,f371,f834]) ).
tff(f472,plain,
( ( $false = bG2 )
| spl28_56
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f394]) ).
tff(f394,plain,
( ( $true != $true )
| ( $false = bG2 )
| spl28_56
| ~ spl28_59 ),
inference(superposition,[],[f372,f386]) ).
tff(f372,plain,
( ( $true != bG2 )
| spl28_56 ),
inference(avatar_component_clause,[],[f371]) ).
tff(f832,plain,
( spl28_95
| spl28_54
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f471,f385,f362,f829]) ).
tff(f471,plain,
( ( $false = bG3 )
| spl28_54
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f396]) ).
tff(f396,plain,
( ( $true != $true )
| ( $false = bG3 )
| spl28_54
| ~ spl28_59 ),
inference(superposition,[],[f363,f386]) ).
tff(f363,plain,
( ( $true != bG3 )
| spl28_54 ),
inference(avatar_component_clause,[],[f362]) ).
tff(f827,plain,
( spl28_94
| spl28_52
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f470,f385,f353,f824]) ).
tff(f470,plain,
( ( $false = bG4 )
| spl28_52
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f398]) ).
tff(f820,plain,
( ~ spl28_48
| spl28_73
| spl28_50
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f813,f385,f344,f664,f335]) ).
tff(f813,plain,
( f3($false)
| ( $true != bG6 )
| spl28_50
| ~ spl28_59 ),
inference(forward_demodulation,[],[f107,f469]) ).
tff(f469,plain,
( ( $false = bG5 )
| spl28_50
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f400]) ).
tff(f400,plain,
( ( $true != $true )
| ( $false = bG5 )
| spl28_50
| ~ spl28_59 ),
inference(superposition,[],[f345,f386]) ).
tff(f345,plain,
( ( $true != bG5 )
| spl28_50 ),
inference(avatar_component_clause,[],[f344]) ).
tff(f819,plain,
( spl28_93
| spl28_50
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f469,f385,f344,f816]) ).
tff(f812,plain,
( spl28_92
| spl28_48
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f468,f385,f335,f809]) ).
tff(f468,plain,
( ( $false = bG6 )
| spl28_48
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f402]) ).
tff(f402,plain,
( ( $true != $true )
| ( $false = bG6 )
| spl28_48
| ~ spl28_59 ),
inference(superposition,[],[f336,f386]) ).
tff(f336,plain,
( ( $true != bG6 )
| spl28_48 ),
inference(avatar_component_clause,[],[f335]) ).
tff(f807,plain,
( spl28_91
| spl28_46
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f467,f385,f326,f804]) ).
tff(f467,plain,
( ( $false = bG7 )
| spl28_46
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f404]) ).
tff(f404,plain,
( ( $true != $true )
| ( $false = bG7 )
| spl28_46
| ~ spl28_59 ),
inference(superposition,[],[f327,f386]) ).
tff(f327,plain,
( ( $true != bG7 )
| spl28_46 ),
inference(avatar_component_clause,[],[f326]) ).
tff(f802,plain,
( spl28_90
| spl28_44
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f466,f385,f317,f799]) ).
tff(f466,plain,
( ( $false = bG8 )
| spl28_44
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f406]) ).
tff(f406,plain,
( ( $true != $true )
| ( $false = bG8 )
| spl28_44
| ~ spl28_59 ),
inference(superposition,[],[f318,f386]) ).
tff(f318,plain,
( ( $true != bG8 )
| spl28_44 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f797,plain,
( spl28_89
| spl28_42
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f465,f385,f308,f794]) ).
tff(f790,plain,
( spl28_88
| spl28_40
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f464,f385,f299,f787]) ).
tff(f464,plain,
( ( $false = bG10 )
| spl28_40
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f410]) ).
tff(f410,plain,
( ( $true != $true )
| ( $false = bG10 )
| spl28_40
| ~ spl28_59 ),
inference(superposition,[],[f300,f386]) ).
tff(f300,plain,
( ( $true != bG10 )
| spl28_40 ),
inference(avatar_component_clause,[],[f299]) ).
tff(f785,plain,
( spl28_87
| spl28_38
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f463,f385,f290,f782]) ).
tff(f463,plain,
( ( $false = bG11 )
| spl28_38
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f412]) ).
tff(f412,plain,
( ( $true != $true )
| ( $false = bG11 )
| spl28_38
| ~ spl28_59 ),
inference(superposition,[],[f291,f386]) ).
tff(f291,plain,
( ( $true != bG11 )
| spl28_38 ),
inference(avatar_component_clause,[],[f290]) ).
tff(f780,plain,
( spl28_86
| spl28_36
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f462,f385,f281,f777]) ).
tff(f462,plain,
( ( $false = bG12 )
| spl28_36
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f414]) ).
tff(f414,plain,
( ( $true != $true )
| ( $false = bG12 )
| spl28_36
| ~ spl28_59 ),
inference(superposition,[],[f282,f386]) ).
tff(f282,plain,
( ( $true != bG12 )
| spl28_36 ),
inference(avatar_component_clause,[],[f281]) ).
tff(f775,plain,
( spl28_85
| spl28_5
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f461,f385,f141,f772]) ).
tff(f461,plain,
( ( $false = bG13 )
| spl28_5
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f417]) ).
tff(f417,plain,
( ( $true != $true )
| ( $false = bG13 )
| spl28_5
| ~ spl28_59 ),
inference(superposition,[],[f142,f386]) ).
tff(f142,plain,
( ( $true != bG13 )
| spl28_5 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f770,plain,
( spl28_84
| spl28_34
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f460,f385,f272,f767]) ).
tff(f460,plain,
( ( $false = bG14 )
| spl28_34
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f418]) ).
tff(f418,plain,
( ( $true != $true )
| ( $false = bG14 )
| spl28_34
| ~ spl28_59 ),
inference(superposition,[],[f273,f386]) ).
tff(f273,plain,
( ( $true != bG14 )
| spl28_34 ),
inference(avatar_component_clause,[],[f272]) ).
tff(f765,plain,
( spl28_83
| spl28_32
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f459,f385,f263,f762]) ).
tff(f459,plain,
( ( $false = bG15 )
| spl28_32
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f420]) ).
tff(f420,plain,
( ( $true != $true )
| ( $false = bG15 )
| spl28_32
| ~ spl28_59 ),
inference(superposition,[],[f264,f386]) ).
tff(f264,plain,
( ( $true != bG15 )
| spl28_32 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f757,plain,
( ~ spl28_30
| spl28_82
| spl28_32
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f751,f385,f263,f754,f254]) ).
tff(f751,plain,
( f6($false)
| ( $true != bG16 )
| spl28_32
| ~ spl28_59 ),
inference(forward_demodulation,[],[f87,f459]) ).
tff(f749,plain,
( spl28_81
| spl28_30
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f458,f385,f254,f746]) ).
tff(f458,plain,
( ( $false = bG16 )
| spl28_30
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f422]) ).
tff(f422,plain,
( ( $true != $true )
| ( $false = bG16 )
| spl28_30
| ~ spl28_59 ),
inference(superposition,[],[f255,f386]) ).
tff(f255,plain,
( ( $true != bG16 )
| spl28_30 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f741,plain,
( ~ spl28_28
| spl28_80
| spl28_30
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f730,f385,f254,f738,f245]) ).
tff(f730,plain,
( f5($false)
| ( $true != bG17 )
| spl28_30
| ~ spl28_59 ),
inference(forward_demodulation,[],[f85,f458]) ).
tff(f731,plain,
( spl28_25
| ~ spl28_26 ),
inference(avatar_split_clause,[],[f729,f236,f232]) ).
tff(f729,plain,
( f4(bG17)
| ~ spl28_26 ),
inference(trivial_inequality_removal,[],[f728]) ).
tff(f727,plain,
( spl28_79
| spl28_28
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f457,f385,f245,f724]) ).
tff(f720,plain,
( ~ spl28_77
| spl28_23
| ~ spl28_26 ),
inference(avatar_split_clause,[],[f719,f236,f223,f700]) ).
tff(f719,plain,
( ~ f4($true)
| spl28_23
| ~ spl28_26 ),
inference(superposition,[],[f225,f238]) ).
tff(f714,plain,
( spl28_23
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f712,f227,f223]) ).
tff(f712,plain,
( f4(bG18)
| ~ spl28_24 ),
inference(trivial_inequality_removal,[],[f711]) ).
tff(f711,plain,
( ( $true != $true )
| f4(bG18)
| ~ spl28_24 ),
inference(forward_demodulation,[],[f81,f229]) ).
tff(f710,plain,
( spl28_78
| spl28_26
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f456,f385,f236,f707]) ).
tff(f705,plain,
( ~ spl28_20
| spl28_74
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f679,f218,f674,f209]) ).
tff(f679,plain,
( f3($true)
| ( $true != bG21 )
| ~ spl28_22 ),
inference(forward_demodulation,[],[f77,f220]) ).
tff(f703,plain,
( spl28_77
| ~ spl28_21
| ~ spl28_24 ),
inference(avatar_split_clause,[],[f698,f227,f214,f700]) ).
tff(f698,plain,
( f4($true)
| ~ spl28_21
| ~ spl28_24 ),
inference(forward_demodulation,[],[f215,f229]) ).
tff(f215,plain,
( f4(bG19)
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f214]) ).
tff(f697,plain,
( spl28_21
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f695,f218,f214]) ).
tff(f695,plain,
( f4(bG19)
| ~ spl28_22 ),
inference(trivial_inequality_removal,[],[f694]) ).
tff(f694,plain,
( ( $true != $true )
| f4(bG19)
| ~ spl28_22 ),
inference(forward_demodulation,[],[f79,f220]) ).
tff(f693,plain,
( spl28_76
| spl28_24
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f455,f385,f227,f690]) ).
tff(f455,plain,
( ( $false = bG19 )
| spl28_24
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f428]) ).
tff(f428,plain,
( ( $true != $true )
| ( $false = bG19 )
| spl28_24
| ~ spl28_59 ),
inference(superposition,[],[f228,f386]) ).
tff(f228,plain,
( ( $true != bG19 )
| spl28_24 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f688,plain,
( ~ spl28_22
| spl28_75
| spl28_24
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f670,f385,f227,f685,f218]) ).
tff(f670,plain,
( f4($false)
| ( $true != bG20 )
| spl28_24
| ~ spl28_59 ),
inference(forward_demodulation,[],[f79,f455]) ).
tff(f677,plain,
( spl28_74
| ~ spl28_19
| ~ spl28_22 ),
inference(avatar_split_clause,[],[f672,f218,f205,f674]) ).
tff(f672,plain,
( f3($true)
| ~ spl28_19
| ~ spl28_22 ),
inference(forward_demodulation,[],[f206,f220]) ).
tff(f206,plain,
( f3(bG20)
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f671,plain,
( spl28_19
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f669,f209,f205]) ).
tff(f669,plain,
( f3(bG20)
| ~ spl28_20 ),
inference(trivial_inequality_removal,[],[f668]) ).
tff(f668,plain,
( ( $true != $true )
| f3(bG20)
| ~ spl28_20 ),
inference(forward_demodulation,[],[f77,f211]) ).
tff(f667,plain,
( ~ spl28_20
| spl28_73
| spl28_22
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f639,f385,f218,f664,f209]) ).
tff(f639,plain,
( f3($false)
| ( $true != bG21 )
| spl28_22
| ~ spl28_59 ),
inference(forward_demodulation,[],[f77,f454]) ).
tff(f659,plain,
( ~ spl28_14
| ~ spl28_67 ),
inference(avatar_contradiction_clause,[],[f658]) ).
tff(f658,plain,
( $false
| ~ spl28_14
| ~ spl28_67 ),
inference(trivial_inequality_removal,[],[f657]) ).
tff(f657,plain,
( ( $true = $false )
| ~ spl28_14
| ~ spl28_67 ),
inference(forward_demodulation,[],[f184,f573]) ).
tff(f652,plain,
( ~ spl28_70
| spl28_13
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f610,f191,f178,f602]) ).
tff(f610,plain,
( ~ f2($true)
| spl28_13
| ~ spl28_16 ),
inference(forward_demodulation,[],[f180,f193]) ).
tff(f650,plain,
( ~ spl28_16
| ~ spl28_69 ),
inference(avatar_contradiction_clause,[],[f649]) ).
tff(f649,plain,
( $false
| ~ spl28_16
| ~ spl28_69 ),
inference(trivial_inequality_removal,[],[f648]) ).
tff(f648,plain,
( ( $true = $false )
| ~ spl28_16
| ~ spl28_69 ),
inference(forward_demodulation,[],[f193,f594]) ).
tff(f644,plain,
( ~ spl28_70
| spl28_15
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f629,f200,f187,f602]) ).
tff(f629,plain,
( ~ f2($true)
| spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f189,f202]) ).
tff(f642,plain,
( spl28_70
| ~ spl28_17
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f641,f209,f196,f602]) ).
tff(f641,plain,
( f2($true)
| ~ spl28_17
| ~ spl28_20 ),
inference(forward_demodulation,[],[f197,f211]) ).
tff(f197,plain,
( f2(bG21)
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f640,plain,
( spl28_17
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f638,f200,f196]) ).
tff(f636,plain,
( spl28_72
| spl28_20
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f453,f385,f209,f633]) ).
tff(f453,plain,
( ( $false = bG21 )
| spl28_20
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f432]) ).
tff(f432,plain,
( ( $true != $true )
| ( $false = bG21 )
| spl28_20
| ~ spl28_59 ),
inference(superposition,[],[f210,f386]) ).
tff(f210,plain,
( ( $true != bG21 )
| spl28_20 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f631,plain,
( ~ spl28_16
| spl28_70
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f626,f200,f602,f191]) ).
tff(f626,plain,
( f2($true)
| ( $true != bG23 )
| ~ spl28_18 ),
inference(forward_demodulation,[],[f73,f202]) ).
tff(f624,plain,
( spl28_70
| ~ spl28_15
| ~ spl28_18 ),
inference(avatar_split_clause,[],[f623,f200,f187,f602]) ).
tff(f623,plain,
( f2($true)
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f188,f202]) ).
tff(f188,plain,
( f2(bG22)
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f622,plain,
( spl28_15
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f620,f191,f187]) ).
tff(f620,plain,
( f2(bG22)
| ~ spl28_16 ),
inference(trivial_inequality_removal,[],[f619]) ).
tff(f618,plain,
( spl28_71
| spl28_18
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f452,f385,f200,f615]) ).
tff(f452,plain,
( ( $false = bG22 )
| spl28_18
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f434]) ).
tff(f434,plain,
( ( $true != $true )
| ( $false = bG22 )
| spl28_18
| ~ spl28_59 ),
inference(superposition,[],[f201,f386]) ).
tff(f201,plain,
( ( $true != bG22 )
| spl28_18 ),
inference(avatar_component_clause,[],[f200]) ).
tff(f613,plain,
( ~ spl28_14
| spl28_70
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f607,f191,f602,f182]) ).
tff(f607,plain,
( f2($true)
| ( $true != bG24 )
| ~ spl28_16 ),
inference(forward_demodulation,[],[f71,f193]) ).
tff(f605,plain,
( spl28_70
| ~ spl28_13
| ~ spl28_16 ),
inference(avatar_split_clause,[],[f600,f191,f178,f602]) ).
tff(f600,plain,
( f2($true)
| ~ spl28_13
| ~ spl28_16 ),
inference(forward_demodulation,[],[f179,f193]) ).
tff(f179,plain,
( f2(bG23)
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f178]) ).
tff(f599,plain,
( spl28_13
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f597,f182,f178]) ).
tff(f597,plain,
( f2(bG23)
| ~ spl28_14 ),
inference(trivial_inequality_removal,[],[f596]) ).
tff(f596,plain,
( ( $true != $true )
| f2(bG23)
| ~ spl28_14 ),
inference(forward_demodulation,[],[f71,f184]) ).
tff(f595,plain,
( spl28_69
| spl28_16
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f451,f385,f191,f592]) ).
tff(f451,plain,
( ( $false = bG23 )
| spl28_16
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f436]) ).
tff(f436,plain,
( ( $true != $true )
| ( $false = bG23 )
| spl28_16
| ~ spl28_59 ),
inference(superposition,[],[f192,f386]) ).
tff(f192,plain,
( ( $true != bG23 )
| spl28_16 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f590,plain,
( ~ spl28_12
| spl28_68
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f584,f182,f579,f173]) ).
tff(f584,plain,
( f1($true)
| ( $true != bG25 )
| ~ spl28_14 ),
inference(forward_demodulation,[],[f69,f184]) ).
tff(f582,plain,
( spl28_68
| ~ spl28_12
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f576,f182,f173,f579]) ).
tff(f576,plain,
( f1($true)
| ~ spl28_12
| ~ spl28_14 ),
inference(trivial_inequality_removal,[],[f575]) ).
tff(f575,plain,
( ( $true != $true )
| f1($true)
| ~ spl28_12
| ~ spl28_14 ),
inference(forward_demodulation,[],[f518,f175]) ).
tff(f518,plain,
( f1($true)
| ( $true != bG25 )
| ~ spl28_14 ),
inference(forward_demodulation,[],[f69,f184]) ).
tff(f574,plain,
( spl28_67
| spl28_14
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f450,f385,f182,f571]) ).
tff(f450,plain,
( ( $false = bG24 )
| spl28_14
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f438]) ).
tff(f438,plain,
( ( $true != $true )
| ( $false = bG24 )
| spl28_14
| ~ spl28_59 ),
inference(superposition,[],[f183,f386]) ).
tff(f183,plain,
( ( $true != bG24 )
| spl28_14 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f569,plain,
( ~ spl28_10
| spl28_65
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f566,f173,f545,f164]) ).
tff(f566,plain,
( f0($true)
| ( $true != bG26 )
| ~ spl28_12 ),
inference(forward_demodulation,[],[f67,f175]) ).
tff(f563,plain,
( spl28_65
| ~ spl28_10
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f560,f173,f164,f545]) ).
tff(f560,plain,
( f0($true)
| ~ spl28_10
| ~ spl28_12 ),
inference(trivial_inequality_removal,[],[f559]) ).
tff(f559,plain,
( ( $true != $true )
| f0($true)
| ~ spl28_10
| ~ spl28_12 ),
inference(forward_demodulation,[],[f503,f166]) ).
tff(f503,plain,
( f0($true)
| ( $true != bG26 )
| ~ spl28_12 ),
inference(forward_demodulation,[],[f67,f175]) ).
tff(f554,plain,
( spl28_66
| spl28_12
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f449,f385,f173,f551]) ).
tff(f449,plain,
( ( $false = bG25 )
| spl28_12
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f440]) ).
tff(f440,plain,
( ( $true != $true )
| ( $false = bG25 )
| spl28_12
| ~ spl28_59 ),
inference(superposition,[],[f174,f386]) ).
tff(f174,plain,
( ( $true != bG25 )
| spl28_12 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f548,plain,
( ~ spl28_65
| spl28_7
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f494,f164,f151,f545]) ).
tff(f494,plain,
( ~ f0($true)
| spl28_7
| ~ spl28_10 ),
inference(superposition,[],[f153,f166]) ).
tff(f536,plain,
( spl28_64
| spl28_10
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f448,f385,f164,f533]) ).
tff(f448,plain,
( ( $false = bG26 )
| spl28_10
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f442]) ).
tff(f442,plain,
( ( $true != $true )
| ( $false = bG26 )
| spl28_10
| ~ spl28_59 ),
inference(superposition,[],[f165,f386]) ).
tff(f165,plain,
( ( $true != bG26 )
| spl28_10 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f527,plain,
( ~ spl28_14
| spl28_63
| spl28_16
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f515,f385,f191,f524,f182]) ).
tff(f515,plain,
( f2($false)
| ( $true != bG24 )
| spl28_16
| ~ spl28_59 ),
inference(forward_demodulation,[],[f71,f451]) ).
tff(f516,plain,
( spl28_11
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f514,f173,f169]) ).
tff(f514,plain,
( f1(bG24)
| ~ spl28_12 ),
inference(trivial_inequality_removal,[],[f513]) ).
tff(f513,plain,
( ( $true != $true )
| f1(bG24)
| ~ spl28_12 ),
inference(forward_demodulation,[],[f69,f175]) ).
tff(f512,plain,
( ~ spl28_12
| spl28_62
| spl28_14
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f498,f385,f182,f509,f173]) ).
tff(f498,plain,
( f1($false)
| ( $true != bG25 )
| spl28_14
| ~ spl28_59 ),
inference(forward_demodulation,[],[f69,f450]) ).
tff(f499,plain,
( spl28_9
| ~ spl28_10 ),
inference(avatar_split_clause,[],[f497,f164,f160]) ).
tff(f497,plain,
( f0(bG25)
| ~ spl28_10 ),
inference(trivial_inequality_removal,[],[f496]) ).
tff(f496,plain,
( ( $true != $true )
| f0(bG25)
| ~ spl28_10 ),
inference(forward_demodulation,[],[f67,f166]) ).
tff(f495,plain,
( ~ spl28_10
| spl28_61
| spl28_12
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f489,f385,f173,f483,f164]) ).
tff(f489,plain,
( f0($false)
| ( $true != bG26 )
| spl28_12
| ~ spl28_59 ),
inference(forward_demodulation,[],[f67,f449]) ).
tff(f490,plain,
( spl28_7
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f488,f155,f151]) ).
tff(f488,plain,
( f0(bG26)
| ~ spl28_8 ),
inference(trivial_inequality_removal,[],[f487]) ).
tff(f487,plain,
( ( $true != $true )
| f0(bG26)
| ~ spl28_8 ),
inference(forward_demodulation,[],[f65,f157]) ).
tff(f486,plain,
( ~ spl28_8
| spl28_61
| spl28_10
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f480,f385,f164,f483,f155]) ).
tff(f480,plain,
( f0($false)
| ( $true != bG27 )
| spl28_10
| ~ spl28_59 ),
inference(forward_demodulation,[],[f65,f448]) ).
tff(f479,plain,
( spl28_60
| spl28_8
| ~ spl28_59 ),
inference(avatar_split_clause,[],[f447,f385,f155,f476]) ).
tff(f447,plain,
( ( $false = bG27 )
| spl28_8
| ~ spl28_59 ),
inference(trivial_inequality_removal,[],[f444]) ).
tff(f444,plain,
( ( $true != $true )
| ( $false = bG27 )
| spl28_8
| ~ spl28_59 ),
inference(superposition,[],[f156,f386]) ).
tff(f156,plain,
( ( $true != bG27 )
| spl28_8 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f387,plain,
spl28_59,
inference(avatar_split_clause,[],[f4,f385]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f383,plain,
( ~ spl28_57
| spl28_58 ),
inference(avatar_split_clause,[],[f116,f380,f376]) ).
tff(f116,plain,
( ( $true = bG1 )
| ~ f6(bG0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f374,plain,
( ~ spl28_55
| spl28_56 ),
inference(avatar_split_clause,[],[f114,f371,f367]) ).
tff(f114,plain,
( ( $true = bG2 )
| ~ f5(bG1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f365,plain,
( ~ spl28_53
| spl28_54 ),
inference(avatar_split_clause,[],[f112,f362,f358]) ).
tff(f112,plain,
( ( $true = bG3 )
| ~ f5(bG2) ),
inference(cnf_transformation,[],[f59]) ).
tff(f356,plain,
( ~ spl28_51
| spl28_52 ),
inference(avatar_split_clause,[],[f110,f353,f349]) ).
tff(f110,plain,
( ( $true = bG4 )
| ~ f5(bG3) ),
inference(cnf_transformation,[],[f58]) ).
tff(f347,plain,
( ~ spl28_49
| spl28_50 ),
inference(avatar_split_clause,[],[f108,f344,f340]) ).
tff(f108,plain,
( ( $true = bG5 )
| ~ f4(bG4) ),
inference(cnf_transformation,[],[f57]) ).
tff(f338,plain,
( ~ spl28_47
| spl28_48 ),
inference(avatar_split_clause,[],[f106,f335,f331]) ).
tff(f106,plain,
( ( $true = bG6 )
| ~ f3(bG5) ),
inference(cnf_transformation,[],[f56]) ).
tff(f329,plain,
( ~ spl28_45
| spl28_46 ),
inference(avatar_split_clause,[],[f104,f326,f322]) ).
tff(f104,plain,
( ( $true = bG7 )
| ~ f3(bG6) ),
inference(cnf_transformation,[],[f55]) ).
tff(f320,plain,
( ~ spl28_43
| spl28_44 ),
inference(avatar_split_clause,[],[f102,f317,f313]) ).
tff(f102,plain,
( ( $true = bG8 )
| ~ f3(bG7) ),
inference(cnf_transformation,[],[f54]) ).
tff(f311,plain,
( ~ spl28_41
| spl28_42 ),
inference(avatar_split_clause,[],[f100,f308,f304]) ).
tff(f100,plain,
( ( $true = bG9 )
| ~ f2(bG8) ),
inference(cnf_transformation,[],[f53]) ).
tff(f302,plain,
( ~ spl28_39
| spl28_40 ),
inference(avatar_split_clause,[],[f98,f299,f295]) ).
tff(f98,plain,
( ( $true = bG10 )
| ~ f1(bG9) ),
inference(cnf_transformation,[],[f52]) ).
tff(f293,plain,
( ~ spl28_37
| spl28_38 ),
inference(avatar_split_clause,[],[f96,f290,f286]) ).
tff(f96,plain,
( ( $true = bG11 )
| ~ f1(bG10) ),
inference(cnf_transformation,[],[f51]) ).
tff(f284,plain,
( ~ spl28_35
| spl28_36 ),
inference(avatar_split_clause,[],[f94,f281,f277]) ).
tff(f94,plain,
( ( $true = bG12 )
| ~ f1(bG11) ),
inference(cnf_transformation,[],[f50]) ).
tff(f275,plain,
( ~ spl28_33
| spl28_34 ),
inference(avatar_split_clause,[],[f90,f272,f268]) ).
tff(f90,plain,
( ( $true = bG14 )
| ~ f6(bG13) ),
inference(cnf_transformation,[],[f48]) ).
tff(f266,plain,
( ~ spl28_31
| spl28_32 ),
inference(avatar_split_clause,[],[f88,f263,f259]) ).
tff(f88,plain,
( ( $true = bG15 )
| ~ f6(bG14) ),
inference(cnf_transformation,[],[f47]) ).
tff(f257,plain,
( ~ spl28_29
| spl28_30 ),
inference(avatar_split_clause,[],[f86,f254,f250]) ).
tff(f86,plain,
( ( $true = bG16 )
| ~ f6(bG15) ),
inference(cnf_transformation,[],[f46]) ).
tff(f248,plain,
( ~ spl28_27
| spl28_28 ),
inference(avatar_split_clause,[],[f84,f245,f241]) ).
tff(f84,plain,
( ( $true = bG17 )
| ~ f5(bG16) ),
inference(cnf_transformation,[],[f45]) ).
tff(f239,plain,
( ~ spl28_25
| spl28_26 ),
inference(avatar_split_clause,[],[f82,f236,f232]) ).
tff(f82,plain,
( ( $true = bG18 )
| ~ f4(bG17) ),
inference(cnf_transformation,[],[f44]) ).
tff(f230,plain,
( ~ spl28_23
| spl28_24 ),
inference(avatar_split_clause,[],[f80,f227,f223]) ).
tff(f80,plain,
( ( $true = bG19 )
| ~ f4(bG18) ),
inference(cnf_transformation,[],[f43]) ).
tff(f221,plain,
( ~ spl28_21
| spl28_22 ),
inference(avatar_split_clause,[],[f78,f218,f214]) ).
tff(f78,plain,
( ( $true = bG20 )
| ~ f4(bG19) ),
inference(cnf_transformation,[],[f42]) ).
tff(f212,plain,
( ~ spl28_19
| spl28_20 ),
inference(avatar_split_clause,[],[f76,f209,f205]) ).
tff(f76,plain,
( ( $true = bG21 )
| ~ f3(bG20) ),
inference(cnf_transformation,[],[f41]) ).
tff(f203,plain,
( ~ spl28_17
| spl28_18 ),
inference(avatar_split_clause,[],[f74,f200,f196]) ).
tff(f74,plain,
( ( $true = bG22 )
| ~ f2(bG21) ),
inference(cnf_transformation,[],[f40]) ).
tff(f194,plain,
( ~ spl28_15
| spl28_16 ),
inference(avatar_split_clause,[],[f72,f191,f187]) ).
tff(f72,plain,
( ( $true = bG23 )
| ~ f2(bG22) ),
inference(cnf_transformation,[],[f39]) ).
tff(f185,plain,
( ~ spl28_13
| spl28_14 ),
inference(avatar_split_clause,[],[f70,f182,f178]) ).
tff(f70,plain,
( ( $true = bG24 )
| ~ f2(bG23) ),
inference(cnf_transformation,[],[f38]) ).
tff(f176,plain,
( ~ spl28_11
| spl28_12 ),
inference(avatar_split_clause,[],[f68,f173,f169]) ).
tff(f68,plain,
( ( $true = bG25 )
| ~ f1(bG24) ),
inference(cnf_transformation,[],[f37]) ).
tff(f167,plain,
( ~ spl28_9
| spl28_10 ),
inference(avatar_split_clause,[],[f66,f164,f160]) ).
tff(f66,plain,
( ( $true = bG26 )
| ~ f0(bG25) ),
inference(cnf_transformation,[],[f36]) ).
tff(f158,plain,
( ~ spl28_7
| spl28_8 ),
inference(avatar_split_clause,[],[f64,f155,f151]) ).
tff(f64,plain,
( ( $true = bG27 )
| ~ f0(bG26) ),
inference(cnf_transformation,[],[f35]) ).
tff(f149,plain,
( ~ spl28_6
| spl28_4 ),
inference(avatar_split_clause,[],[f119,f137,f146]) ).
tff(f119,plain,
( x
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f62]) ).
tff(f144,plain,
( ~ spl28_4
| spl28_5 ),
inference(avatar_split_clause,[],[f92,f141,f137]) ).
tff(f92,plain,
( ( $true = bG13 )
| ~ x ),
inference(cnf_transformation,[],[f49]) ).
tff(f135,plain,
~ spl28_3,
inference(avatar_split_clause,[],[f3,f132]) ).
tff(f132,plain,
( spl28_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
tff(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f130,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f120,f127,f123]) ).
tff(f120,plain,
( f0(bG27)
| f0(bG12) ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO500_8.007 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 00:59:29 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28870)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28873)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28876)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28875)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28873)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28877)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (28872)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (28874)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 Detected minimum model sizes of [1]
% 0.14/0.39 Detected maximum model sizes of [30]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 % (28871)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.41 Detected minimum model sizes of [1]
% 0.14/0.41 Detected maximum model sizes of [60]
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [6]
% 0.19/0.41 TRYING [2]
% 0.19/0.42 TRYING [7]
% 0.19/0.42 TRYING [8]
% 0.19/0.42 TRYING [3]
% 0.19/0.43 TRYING [9]
% 0.19/0.43 TRYING [10]
% 0.19/0.43 TRYING [11]
% 0.19/0.43 TRYING [12]
% 0.19/0.44 TRYING [13]
% 0.19/0.44 TRYING [14]
% 0.19/0.45 TRYING [4]
% 0.19/0.45 TRYING [15]
% 0.19/0.46 TRYING [16]
% 0.19/0.46 TRYING [17]
% 0.19/0.47 TRYING [18]
% 0.19/0.49 TRYING [19]
% 0.19/0.49 TRYING [20]
% 0.19/0.50 % (28875)First to succeed.
% 0.19/0.50 TRYING [5]
% 0.19/0.50 TRYING [21]
% 0.19/0.51 % (28875)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (28875)------------------------------
% 0.19/0.52 % (28875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.52 % (28875)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (28875)Memory used [KB]: 1770
% 0.19/0.52 % (28875)Time elapsed: 0.126 s
% 0.19/0.52 % (28875)Instructions burned: 238 (million)
% 0.19/0.52 % (28875)------------------------------
% 0.19/0.52 % (28875)------------------------------
% 0.19/0.52 % (28870)Success in time 0.145 s
%------------------------------------------------------------------------------