TSTP Solution File: SYO500^1.007 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:05:30 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 163
% Syntax : Number of formulae : 443 ( 35 unt; 7 typ; 0 def)
% Number of atoms : 2812 ( 680 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 1106 ( 90 ~; 574 |; 0 &; 357 @)
% ( 85 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 123 ( 120 usr; 115 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
f0: $o > $o ).
thf(func_def_2,type,
f1: $o > $o ).
thf(func_def_3,type,
f2: $o > $o ).
thf(func_def_4,type,
f3: $o > $o ).
thf(func_def_5,type,
f4: $o > $o ).
thf(func_def_6,type,
f5: $o > $o ).
thf(func_def_7,type,
f6: $o > $o ).
thf(f691,plain,
$false,
inference(avatar_sat_refutation,[],[f210,f219,f228,f233,f242,f251,f256,f261,f274,f283,f292,f297,f302,f303,f308,f309,f322,f331,f340,f345,f354,f363,f372,f377,f382,f383,f388,f393,f398,f399,f400,f405,f410,f411,f412,f417,f418,f423,f424,f437,f446,f455,f460,f465,f470,f471,f472,f477,f482,f483,f484,f489,f490,f495,f496,f505,f510,f519,f524,f529,f534,f535,f536,f541,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f569,f578,f587,f592,f593,f594,f595,f596,f597,f598,f599,f600,f609,f614,f619,f620,f625,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690]) ).
thf(f690,plain,
( ( sF11 != $false )
| ( sF11 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f689,plain,
( ( $true != sF1 )
| ( $false != sF1 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f688,plain,
( ( $false
!= ( f6 @ $true ) )
| ( $true
!= ( f6 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f687,plain,
( ( sF15 != $false )
| ( sF15 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f686,plain,
( ( sF3 != $true )
| ( sF3 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f685,plain,
( ( sF4 != $false )
| ( sF4 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f684,plain,
( ( $false != sF5 )
| ( $true != sF5 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f683,plain,
( ( sF6 != $false )
| ( sF6 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f682,plain,
( ( $false
!= ( f0 @ $false ) )
| ( $true
!= ( f0 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f681,plain,
( ( $false != sF25 )
| ( $true != sF25 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f680,plain,
( ( $false != sF10 )
| ( $true != sF10 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f679,plain,
( ( $false != sF9 )
| ( $true != sF9 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f678,plain,
( ( $false != sF8 )
| ( $true != sF8 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f677,plain,
( ( $false
!= ( f2 @ $false ) )
| ( $true
!= ( f2 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f676,plain,
( ( $false != sF20 )
| ( $true != sF20 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f675,plain,
( ( $false
!= ( f2 @ $true ) )
| ( $true
!= ( f2 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f674,plain,
( ( $false != sF23 )
| ( $true != sF23 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f673,plain,
( ( $false != sF22 )
| ( sF22 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f672,plain,
( ( $false != sF21 )
| ( $true != sF21 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f671,plain,
( ( $false != sF18 )
| ( $true != sF18 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f670,plain,
( ( $false != sF19 )
| ( $true != sF19 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f669,plain,
( ( ( f1 @ $false )
!= $false )
| ( ( f1 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f668,plain,
( ( $false
!= ( f1 @ $true ) )
| ( $true
!= ( f1 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f667,plain,
( ( $false != sF14 )
| ( $true != sF14 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f666,plain,
( ( $false != sF24 )
| ( $true != sF24 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f665,plain,
( ( $false
!= ( f0 @ $true ) )
| ( $true
!= ( f0 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f664,plain,
( ( $false != sF2 )
| ( $true != sF2 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f663,plain,
( ( $false != sF26 )
| ( $true != sF26 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f662,plain,
( ( sF12 != $false )
| ( sF12 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f661,plain,
( ( $false
!= ( f3 @ $false ) )
| ( $true
!= ( f3 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f660,plain,
( ( $false != sF7 )
| ( $true != sF7 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f659,plain,
( ( $false
!= ( f3 @ $true ) )
| ( $true
!= ( f3 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f658,plain,
( ( x != $false )
| ( x != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f657,plain,
( ( ( f4 @ $false )
!= $false )
| ( ( f4 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f656,plain,
( ( $false != sF17 )
| ( $true != sF17 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f655,plain,
( ( sF16 != $true )
| ( sF16 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f654,plain,
( ( $true
!= ( f4 @ $true ) )
| ( $false
!= ( f4 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f653,plain,
( ( ( f5 @ $false )
!= $true )
| ( ( f5 @ $false )
!= $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f652,plain,
( ( $true
!= ( f5 @ $true ) )
| ( $false
!= ( f5 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f651,plain,
( ( $true
!= ( f6 @ $false ) )
| ( $false
!= ( f6 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f650,plain,
( ( sF0 != $true )
| ( sF0 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f649,plain,
( ( $false != sF13 )
| ( $true != sF13 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f648,plain,
( spl27_83
| spl27_25
| spl27_79 ),
inference(avatar_split_clause,[],[f37,f589,f311,f616]) ).
thf(f616,plain,
( spl27_83
<=> ( $true = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).
thf(f311,plain,
( spl27_25
<=> ( $true = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).
thf(f589,plain,
( spl27_79
<=> ( $false
= ( f2 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).
thf(f37,plain,
( ( $true = sF8 )
| ( $false
= ( f2 @ $false ) )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f35,plain,
( ( $true = sF7 )
| ( ( f2 @ $false )
= sF8 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f14,plain,
( ( f2 @ sF7 )
= sF8 ),
introduced(function_definition,[]) ).
thf(f647,plain,
( spl27_25
| spl27_77
| spl27_80 ),
inference(avatar_split_clause,[],[f36,f602,f580,f311]) ).
thf(f580,plain,
( spl27_77
<=> ( $true
= ( f2 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).
thf(f602,plain,
( spl27_80
<=> ( $false = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).
thf(f36,plain,
( ( $false = sF8 )
| ( $true = sF7 )
| ( $true
= ( f2 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f35]) ).
thf(f646,plain,
( spl27_29
| spl27_76
| spl27_83 ),
inference(avatar_split_clause,[],[f39,f616,f575,f328]) ).
thf(f328,plain,
( spl27_29
<=> ( $false = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).
thf(f575,plain,
( spl27_76
<=> ( $false
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
thf(f39,plain,
( ( $false = sF7 )
| ( $true = sF8 )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( $false = sF7 )
| ( ( f2 @ $true )
= sF8 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f645,plain,
( spl27_29
| spl27_74
| spl27_80 ),
inference(avatar_split_clause,[],[f38,f602,f566,f328]) ).
thf(f566,plain,
( spl27_74
<=> ( $true
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).
thf(f38,plain,
( ( $true
= ( f2 @ $true ) )
| ( $false = sF7 )
| ( $false = sF8 ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f644,plain,
( spl27_61
| spl27_84
| spl27_67 ),
inference(avatar_split_clause,[],[f43,f521,f622,f492]) ).
thf(f492,plain,
( spl27_61
<=> ( sF11 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_61])]) ).
thf(f622,plain,
( spl27_84
<=> ( $true = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_84])]) ).
thf(f521,plain,
( spl27_67
<=> ( ( f1 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_67])]) ).
thf(f43,plain,
( ( ( f1 @ $false )
= $false )
| ( sF11 = $true )
| ( $true = sF10 ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( ( f1 @ $false )
= sF11 )
| ( $true = sF10 ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f17,plain,
( sF11
= ( f1 @ sF10 ) ),
introduced(function_definition,[]) ).
thf(f643,plain,
( spl27_60
| spl27_66
| spl27_84 ),
inference(avatar_split_clause,[],[f42,f622,f516,f486]) ).
thf(f486,plain,
( spl27_60
<=> ( sF11 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_60])]) ).
thf(f516,plain,
( spl27_66
<=> ( ( f1 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_66])]) ).
thf(f42,plain,
( ( sF11 = $false )
| ( $true = sF10 )
| ( ( f1 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f41]) ).
thf(f642,plain,
( spl27_60
| spl27_85
| spl27_62 ),
inference(avatar_split_clause,[],[f45,f498,f627,f486]) ).
thf(f627,plain,
( spl27_85
<=> ( $false = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_85])]) ).
thf(f498,plain,
( spl27_62
<=> ( $true
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_62])]) ).
thf(f45,plain,
( ( sF11 = $false )
| ( $true
= ( f1 @ $true ) )
| ( $false = sF10 ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( $false = sF10 )
| ( sF11
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f641,plain,
( spl27_64
| spl27_85
| spl27_61 ),
inference(avatar_split_clause,[],[f44,f492,f627,f507]) ).
thf(f507,plain,
( spl27_64
<=> ( $false
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_64])]) ).
thf(f44,plain,
( ( $false = sF10 )
| ( sF11 = $true )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f640,plain,
( spl27_58
| spl27_21
| spl27_15 ),
inference(avatar_split_clause,[],[f49,f263,f289,f474]) ).
thf(f474,plain,
( spl27_58
<=> ( sF15 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_58])]) ).
thf(f289,plain,
( spl27_21
<=> ( ( f4 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
thf(f263,plain,
( spl27_15
<=> ( sF16 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
thf(f49,plain,
( ( sF15 = $true )
| ( ( f4 @ $false )
= $true )
| ( sF16 = $false ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f47,plain,
( ( sF15 = $true )
| ( sF16
= ( f4 @ $false ) ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f22,plain,
( sF16
= ( f4 @ sF15 ) ),
introduced(function_definition,[]) ).
thf(f639,plain,
( spl27_58
| spl27_22
| spl27_20 ),
inference(avatar_split_clause,[],[f48,f285,f294,f474]) ).
thf(f294,plain,
( spl27_22
<=> ( ( f4 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
thf(f285,plain,
( spl27_20
<=> ( sF16 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
thf(f48,plain,
( ( sF15 = $true )
| ( ( f4 @ $false )
= $false )
| ( sF16 = $true ) ),
inference(binary_proxy_clausification,[],[f47]) ).
thf(f638,plain,
( spl27_59
| spl27_19
| spl27_15 ),
inference(avatar_split_clause,[],[f51,f263,f280,f479]) ).
thf(f479,plain,
( spl27_59
<=> ( sF15 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_59])]) ).
thf(f280,plain,
( spl27_19
<=> ( $true
= ( f4 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
thf(f51,plain,
( ( sF16 = $false )
| ( sF15 = $false )
| ( $true
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( sF16
= ( f4 @ $true ) )
| ( sF15 = $false ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f637,plain,
( spl27_59
| spl27_20
| spl27_17 ),
inference(avatar_split_clause,[],[f50,f271,f285,f479]) ).
thf(f271,plain,
( spl27_17
<=> ( $false
= ( f4 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
thf(f50,plain,
( ( sF16 = $true )
| ( sF15 = $false )
| ( $false
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f636,plain,
( spl27_36
| spl27_53
| spl27_68 ),
inference(avatar_split_clause,[],[f55,f526,f448,f360]) ).
thf(f360,plain,
( spl27_36
<=> ( $false = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
thf(f448,plain,
( spl27_53
<=> ( $true
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_53])]) ).
thf(f526,plain,
( spl27_68
<=> ( $true = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_68])]) ).
thf(f55,plain,
( ( $false = sF26 )
| ( $true = sF25 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
( ( $true = sF25 )
| ( sF26
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f32]) ).
thf(f32,plain,
( ( f0 @ sF25 )
= sF26 ),
introduced(function_definition,[]) ).
thf(f635,plain,
( spl27_55
| spl27_68
| spl27_33 ),
inference(avatar_split_clause,[],[f54,f347,f526,f457]) ).
thf(f457,plain,
( spl27_55
<=> ( $false
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_55])]) ).
thf(f347,plain,
( spl27_33
<=> ( $true = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
thf(f54,plain,
( ( $true = sF25 )
| ( $true = sF26 )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f634,plain,
( spl27_51
| spl27_69
| spl27_36 ),
inference(avatar_split_clause,[],[f57,f360,f531,f439]) ).
thf(f439,plain,
( spl27_51
<=> ( $true
= ( f0 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_51])]) ).
thf(f531,plain,
( spl27_69
<=> ( $false = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_69])]) ).
thf(f57,plain,
( ( $false = sF26 )
| ( $true
= ( f0 @ $true ) )
| ( $false = sF25 ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
( ( sF26
= ( f0 @ $true ) )
| ( $false = sF25 ) ),
inference(cases_simplifying,[],[f32]) ).
thf(f633,plain,
( spl27_69
| spl27_33
| spl27_50 ),
inference(avatar_split_clause,[],[f56,f434,f347,f531]) ).
thf(f434,plain,
( spl27_50
<=> ( $false
= ( f0 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_50])]) ).
thf(f56,plain,
( ( $false
= ( f0 @ $true ) )
| ( $true = sF26 )
| ( $false = sF25 ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f632,plain,
( spl27_67
| spl27_84
| spl27_82 ),
inference(avatar_split_clause,[],[f61,f611,f622,f521]) ).
thf(f611,plain,
( spl27_82
<=> ( $true = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_82])]) ).
thf(f61,plain,
( ( $true = sF10 )
| ( $true = sF9 )
| ( ( f1 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ( ( f1 @ $false )
= sF10 )
| ( $true = sF9 ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f16,plain,
( sF10
= ( f1 @ sF9 ) ),
introduced(function_definition,[]) ).
thf(f631,plain,
( spl27_66
| spl27_85
| spl27_82 ),
inference(avatar_split_clause,[],[f60,f611,f627,f516]) ).
thf(f60,plain,
( ( $true = sF9 )
| ( $false = sF10 )
| ( ( f1 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f630,plain,
( spl27_85
| spl27_81
| spl27_62 ),
inference(avatar_split_clause,[],[f63,f498,f606,f627]) ).
thf(f606,plain,
( spl27_81
<=> ( $false = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).
thf(f63,plain,
( ( $false = sF9 )
| ( $true
= ( f1 @ $true ) )
| ( $false = sF10 ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( $false = sF9 )
| ( sF10
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f625,plain,
( spl27_81
| spl27_84
| spl27_64 ),
inference(avatar_split_clause,[],[f62,f507,f622,f606]) ).
thf(f62,plain,
( ( $false = sF9 )
| ( $true = sF10 )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f620,plain,
( spl27_83
| spl27_67
| spl27_82 ),
inference(avatar_split_clause,[],[f67,f611,f521,f616]) ).
thf(f67,plain,
( ( $true = sF8 )
| ( ( f1 @ $false )
= $false )
| ( $true = sF9 ) ),
inference(binary_proxy_clausification,[],[f65]) ).
thf(f65,plain,
( ( ( f1 @ $false )
= sF9 )
| ( $true = sF8 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f15,plain,
( ( f1 @ sF8 )
= sF9 ),
introduced(function_definition,[]) ).
thf(f619,plain,
( spl27_83
| spl27_66
| spl27_81 ),
inference(avatar_split_clause,[],[f66,f606,f516,f616]) ).
thf(f66,plain,
( ( $true = sF8 )
| ( ( f1 @ $false )
= $true )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f65]) ).
thf(f614,plain,
( spl27_64
| spl27_80
| spl27_82 ),
inference(avatar_split_clause,[],[f69,f611,f602,f507]) ).
thf(f69,plain,
( ( $false = sF8 )
| ( $false
= ( f1 @ $true ) )
| ( $true = sF9 ) ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f64,plain,
( ( ( f1 @ $true )
= sF9 )
| ( $false = sF8 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f609,plain,
( spl27_80
| spl27_81
| spl27_62 ),
inference(avatar_split_clause,[],[f68,f498,f606,f602]) ).
thf(f68,plain,
( ( $true
= ( f1 @ $true ) )
| ( $false = sF9 )
| ( $false = sF8 ) ),
inference(binary_proxy_clausification,[],[f64]) ).
thf(f600,plain,
( spl27_63
| spl27_75
| spl27_77 ),
inference(avatar_split_clause,[],[f73,f580,f571,f502]) ).
thf(f502,plain,
( spl27_63
<=> ( $false = sF22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_63])]) ).
thf(f571,plain,
( spl27_75
<=> ( $true = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
thf(f73,plain,
( ( $true
= ( f2 @ $false ) )
| ( $true = sF21 )
| ( $false = sF22 ) ),
inference(binary_proxy_clausification,[],[f71]) ).
thf(f71,plain,
( ( $true = sF21 )
| ( sF22
= ( f2 @ $false ) ) ),
inference(cases_simplifying,[],[f28]) ).
thf(f28,plain,
( sF22
= ( f2 @ sF21 ) ),
introduced(function_definition,[]) ).
thf(f599,plain,
( spl27_79
| spl27_65
| spl27_75 ),
inference(avatar_split_clause,[],[f72,f571,f512,f589]) ).
thf(f512,plain,
( spl27_65
<=> ( sF22 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_65])]) ).
thf(f72,plain,
( ( $false
= ( f2 @ $false ) )
| ( $true = sF21 )
| ( sF22 = $true ) ),
inference(binary_proxy_clausification,[],[f71]) ).
thf(f598,plain,
( spl27_72
| spl27_74
| spl27_63 ),
inference(avatar_split_clause,[],[f75,f502,f566,f558]) ).
thf(f558,plain,
( spl27_72
<=> ( $false = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).
thf(f75,plain,
( ( $true
= ( f2 @ $true ) )
| ( $false = sF21 )
| ( $false = sF22 ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f70,plain,
( ( sF22
= ( f2 @ $true ) )
| ( $false = sF21 ) ),
inference(cases_simplifying,[],[f28]) ).
thf(f597,plain,
( spl27_76
| spl27_72
| spl27_65 ),
inference(avatar_split_clause,[],[f74,f512,f558,f575]) ).
thf(f74,plain,
( ( sF22 = $true )
| ( $false = sF21 )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f70]) ).
thf(f596,plain,
( spl27_78
| spl27_79
| spl27_70 ),
inference(avatar_split_clause,[],[f79,f538,f589,f584]) ).
thf(f584,plain,
( spl27_78
<=> ( $true = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).
thf(f538,plain,
( spl27_70
<=> ( $true = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).
thf(f79,plain,
( ( $true = sF20 )
| ( $false
= ( f2 @ $false ) )
| ( $true = sF19 ) ),
inference(binary_proxy_clausification,[],[f77]) ).
thf(f77,plain,
( ( $true = sF19 )
| ( ( f2 @ $false )
= sF20 ) ),
inference(cases_simplifying,[],[f26]) ).
thf(f26,plain,
( ( f2 @ sF19 )
= sF20 ),
introduced(function_definition,[]) ).
thf(f595,plain,
( spl27_77
| spl27_73
| spl27_70 ),
inference(avatar_split_clause,[],[f78,f538,f562,f580]) ).
thf(f562,plain,
( spl27_73
<=> ( $false = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).
thf(f78,plain,
( ( $true = sF19 )
| ( $true
= ( f2 @ $false ) )
| ( $false = sF20 ) ),
inference(binary_proxy_clausification,[],[f77]) ).
thf(f594,plain,
( spl27_71
| spl27_78
| spl27_76 ),
inference(avatar_split_clause,[],[f81,f575,f584,f543]) ).
thf(f543,plain,
( spl27_71
<=> ( $false = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_71])]) ).
thf(f81,plain,
( ( $false = sF19 )
| ( $true = sF20 )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ( ( f2 @ $true )
= sF20 )
| ( $false = sF19 ) ),
inference(cases_simplifying,[],[f26]) ).
thf(f593,plain,
( spl27_73
| spl27_74
| spl27_71 ),
inference(avatar_split_clause,[],[f80,f543,f566,f562]) ).
thf(f80,plain,
( ( $false = sF20 )
| ( $false = sF19 )
| ( $true
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f76]) ).
thf(f592,plain,
( spl27_75
| spl27_79
| spl27_78 ),
inference(avatar_split_clause,[],[f85,f584,f589,f571]) ).
thf(f85,plain,
( ( $true = sF21 )
| ( $true = sF20 )
| ( $false
= ( f2 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
( ( ( f2 @ $false )
= sF21 )
| ( $true = sF20 ) ),
inference(cases_simplifying,[],[f27]) ).
thf(f27,plain,
( sF21
= ( f2 @ sF20 ) ),
introduced(function_definition,[]) ).
thf(f587,plain,
( spl27_72
| spl27_77
| spl27_78 ),
inference(avatar_split_clause,[],[f84,f584,f580,f558]) ).
thf(f84,plain,
( ( $true
= ( f2 @ $false ) )
| ( $false = sF21 )
| ( $true = sF20 ) ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f578,plain,
( spl27_75
| spl27_76
| spl27_73 ),
inference(avatar_split_clause,[],[f87,f562,f575,f571]) ).
thf(f87,plain,
( ( $false
= ( f2 @ $true ) )
| ( $true = sF21 )
| ( $false = sF20 ) ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f82,plain,
( ( ( f2 @ $true )
= sF21 )
| ( $false = sF20 ) ),
inference(cases_simplifying,[],[f27]) ).
thf(f569,plain,
( spl27_72
| spl27_73
| spl27_74 ),
inference(avatar_split_clause,[],[f86,f566,f562,f558]) ).
thf(f86,plain,
( ( $false = sF21 )
| ( $true
= ( f2 @ $true ) )
| ( $false = sF20 ) ),
inference(binary_proxy_clausification,[],[f82]) ).
thf(f556,plain,
( spl27_27
| spl27_30
| spl27_37 ),
inference(avatar_split_clause,[],[f91,f365,f333,f319]) ).
thf(f319,plain,
( spl27_27
<=> ( sF6 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).
thf(f333,plain,
( spl27_30
<=> ( $true
= ( f3 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
thf(f365,plain,
( spl27_37
<=> ( $true = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
thf(f91,plain,
( ( $true = sF5 )
| ( sF6 = $false )
| ( $true
= ( f3 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f89]) ).
thf(f89,plain,
( ( $true = sF5 )
| ( sF6
= ( f3 @ $false ) ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f12,plain,
( sF6
= ( f3 @ sF5 ) ),
introduced(function_definition,[]) ).
thf(f555,plain,
( spl27_32
| spl27_31
| spl27_37 ),
inference(avatar_split_clause,[],[f90,f365,f337,f342]) ).
thf(f342,plain,
( spl27_32
<=> ( $false
= ( f3 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
thf(f337,plain,
( spl27_31
<=> ( sF6 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).
thf(f90,plain,
( ( $false
= ( f3 @ $false ) )
| ( $true = sF5 )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f89]) ).
thf(f554,plain,
( spl27_27
| spl27_28
| spl27_39 ),
inference(avatar_split_clause,[],[f93,f374,f324,f319]) ).
thf(f324,plain,
( spl27_28
<=> ( $true
= ( f3 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).
thf(f374,plain,
( spl27_39
<=> ( $false = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_39])]) ).
thf(f93,plain,
( ( $false = sF5 )
| ( sF6 = $false )
| ( $true
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( ( $false = sF5 )
| ( sF6
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f553,plain,
( spl27_26
| spl27_39
| spl27_31 ),
inference(avatar_split_clause,[],[f92,f337,f374,f315]) ).
thf(f315,plain,
( spl27_26
<=> ( $false
= ( f3 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).
thf(f92,plain,
( ( $false = sF5 )
| ( $false
= ( f3 @ $true ) )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f88]) ).
thf(f552,plain,
( spl27_47
| spl27_45
| spl27_14 ),
inference(avatar_split_clause,[],[f97,f258,f407,f420]) ).
thf(f420,plain,
( spl27_47
<=> ( sF3 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_47])]) ).
thf(f407,plain,
( spl27_45
<=> ( $true = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_45])]) ).
thf(f258,plain,
( spl27_14
<=> ( ( f5 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
thf(f97,plain,
( ( $true = sF2 )
| ( sF3 = $true )
| ( ( f5 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f95,plain,
( ( $true = sF2 )
| ( ( f5 @ $false )
= sF3 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f9,plain,
( ( f5 @ sF2 )
= sF3 ),
introduced(function_definition,[]) ).
thf(f551,plain,
( spl27_45
| spl27_46
| spl27_13 ),
inference(avatar_split_clause,[],[f96,f253,f414,f407]) ).
thf(f414,plain,
( spl27_46
<=> ( sF3 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_46])]) ).
thf(f253,plain,
( spl27_13
<=> ( ( f5 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
thf(f96,plain,
( ( sF3 = $false )
| ( ( f5 @ $false )
= $true )
| ( $true = sF2 ) ),
inference(binary_proxy_clausification,[],[f95]) ).
thf(f550,plain,
( spl27_46
| spl27_9
| spl27_44 ),
inference(avatar_split_clause,[],[f99,f402,f235,f414]) ).
thf(f235,plain,
( spl27_9
<=> ( $true
= ( f5 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
thf(f402,plain,
( spl27_44
<=> ( $false = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).
thf(f99,plain,
( ( $true
= ( f5 @ $true ) )
| ( sF3 = $false )
| ( $false = sF2 ) ),
inference(binary_proxy_clausification,[],[f94]) ).
thf(f94,plain,
( ( $false = sF2 )
| ( sF3
= ( f5 @ $true ) ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f549,plain,
( spl27_44
| spl27_11
| spl27_47 ),
inference(avatar_split_clause,[],[f98,f420,f244,f402]) ).
thf(f244,plain,
( spl27_11
<=> ( $false
= ( f5 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
thf(f98,plain,
( ( $false = sF2 )
| ( sF3 = $true )
| ( $false
= ( f5 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f94]) ).
thf(f548,plain,
( spl27_70
| spl27_32
| spl27_42 ),
inference(avatar_split_clause,[],[f103,f390,f342,f538]) ).
thf(f390,plain,
( spl27_42
<=> ( $true = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).
thf(f103,plain,
( ( $true = sF18 )
| ( $true = sF19 )
| ( $false
= ( f3 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f101]) ).
thf(f101,plain,
( ( $true = sF18 )
| ( ( f3 @ $false )
= sF19 ) ),
inference(cases_simplifying,[],[f25]) ).
thf(f25,plain,
( sF19
= ( f3 @ sF18 ) ),
introduced(function_definition,[]) ).
thf(f547,plain,
( spl27_42
| spl27_71
| spl27_30 ),
inference(avatar_split_clause,[],[f102,f333,f543,f390]) ).
thf(f102,plain,
( ( $true = sF18 )
| ( $true
= ( f3 @ $false ) )
| ( $false = sF19 ) ),
inference(binary_proxy_clausification,[],[f101]) ).
thf(f546,plain,
( spl27_28
| spl27_71
| spl27_43 ),
inference(avatar_split_clause,[],[f105,f395,f543,f324]) ).
thf(f395,plain,
( spl27_43
<=> ( $false = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
thf(f105,plain,
( ( $true
= ( f3 @ $true ) )
| ( $false = sF19 )
| ( $false = sF18 ) ),
inference(binary_proxy_clausification,[],[f100]) ).
thf(f100,plain,
( ( $false = sF18 )
| ( sF19
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f25]) ).
thf(f541,plain,
( spl27_26
| spl27_43
| spl27_70 ),
inference(avatar_split_clause,[],[f104,f538,f395,f315]) ).
thf(f104,plain,
( ( $false = sF18 )
| ( $true = sF19 )
| ( $false
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f100]) ).
thf(f536,plain,
( spl27_55
| spl27_48
| spl27_68 ),
inference(avatar_split_clause,[],[f109,f526,f426,f457]) ).
thf(f426,plain,
( spl27_48
<=> ( $true = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_48])]) ).
thf(f109,plain,
( ( $false
= ( f0 @ $false ) )
| ( $true = sF25 )
| ( $true = sF24 ) ),
inference(binary_proxy_clausification,[],[f107]) ).
thf(f107,plain,
( ( ( f0 @ $false )
= sF25 )
| ( $true = sF24 ) ),
inference(cases_simplifying,[],[f31]) ).
thf(f31,plain,
( sF25
= ( f0 @ sF24 ) ),
introduced(function_definition,[]) ).
thf(f535,plain,
( spl27_48
| spl27_53
| spl27_69 ),
inference(avatar_split_clause,[],[f108,f531,f448,f426]) ).
thf(f108,plain,
( ( $true = sF24 )
| ( $false = sF25 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f107]) ).
thf(f534,plain,
( spl27_51
| spl27_69
| spl27_52 ),
inference(avatar_split_clause,[],[f111,f443,f531,f439]) ).
thf(f443,plain,
( spl27_52
<=> ( $false = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_52])]) ).
thf(f111,plain,
( ( $false = sF25 )
| ( $false = sF24 )
| ( $true
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f106]) ).
thf(f106,plain,
( ( sF25
= ( f0 @ $true ) )
| ( $false = sF24 ) ),
inference(cases_simplifying,[],[f31]) ).
thf(f529,plain,
( spl27_50
| spl27_68
| spl27_52 ),
inference(avatar_split_clause,[],[f110,f443,f526,f434]) ).
thf(f110,plain,
( ( $false = sF24 )
| ( $false
= ( f0 @ $true ) )
| ( $true = sF25 ) ),
inference(binary_proxy_clausification,[],[f106]) ).
thf(f524,plain,
( spl27_67
| spl27_54
| spl27_65 ),
inference(avatar_split_clause,[],[f115,f512,f452,f521]) ).
thf(f452,plain,
( spl27_54
<=> ( $true = sF23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_54])]) ).
thf(f115,plain,
( ( sF22 = $true )
| ( ( f1 @ $false )
= $false )
| ( $true = sF23 ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f113,plain,
( ( sF22 = $true )
| ( ( f1 @ $false )
= sF23 ) ),
inference(cases_simplifying,[],[f29]) ).
thf(f29,plain,
( sF23
= ( f1 @ sF22 ) ),
introduced(function_definition,[]) ).
thf(f519,plain,
( spl27_65
| spl27_49
| spl27_66 ),
inference(avatar_split_clause,[],[f114,f516,f430,f512]) ).
thf(f430,plain,
( spl27_49
<=> ( $false = sF23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_49])]) ).
thf(f114,plain,
( ( sF22 = $true )
| ( ( f1 @ $false )
= $true )
| ( $false = sF23 ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f510,plain,
( spl27_64
| spl27_54
| spl27_63 ),
inference(avatar_split_clause,[],[f117,f502,f452,f507]) ).
thf(f117,plain,
( ( $true = sF23 )
| ( $false
= ( f1 @ $true ) )
| ( $false = sF22 ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f112,plain,
( ( $false = sF22 )
| ( ( f1 @ $true )
= sF23 ) ),
inference(cases_simplifying,[],[f29]) ).
thf(f505,plain,
( spl27_62
| spl27_63
| spl27_49 ),
inference(avatar_split_clause,[],[f116,f430,f502,f498]) ).
thf(f116,plain,
( ( $false = sF23 )
| ( $false = sF22 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f496,plain,
( spl27_53
| spl27_35
| spl27_61 ),
inference(avatar_split_clause,[],[f121,f492,f356,f448]) ).
thf(f356,plain,
( spl27_35
<=> ( sF12 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
thf(f121,plain,
( ( sF11 = $true )
| ( $true
= ( f0 @ $false ) )
| ( sF12 = $false ) ),
inference(binary_proxy_clausification,[],[f119]) ).
thf(f119,plain,
( ( sF11 = $true )
| ( sF12
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f18,plain,
( sF12
= ( f0 @ sF11 ) ),
introduced(function_definition,[]) ).
thf(f495,plain,
( spl27_55
| spl27_61
| spl27_34 ),
inference(avatar_split_clause,[],[f120,f351,f492,f457]) ).
thf(f351,plain,
( spl27_34
<=> ( sF12 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
thf(f120,plain,
( ( sF11 = $true )
| ( sF12 = $true )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f119]) ).
thf(f490,plain,
( spl27_35
| spl27_51
| spl27_60 ),
inference(avatar_split_clause,[],[f123,f486,f439,f356]) ).
thf(f123,plain,
( ( $true
= ( f0 @ $true ) )
| ( sF12 = $false )
| ( sF11 = $false ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f118,plain,
( ( sF12
= ( f0 @ $true ) )
| ( sF11 = $false ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f489,plain,
( spl27_34
| spl27_50
| spl27_60 ),
inference(avatar_split_clause,[],[f122,f486,f434,f351]) ).
thf(f122,plain,
( ( sF12 = $true )
| ( $false
= ( f0 @ $true ) )
| ( sF11 = $false ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f484,plain,
( spl27_59
| spl27_13
| spl27_57 ),
inference(avatar_split_clause,[],[f127,f467,f253,f479]) ).
thf(f467,plain,
( spl27_57
<=> ( $true = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).
thf(f127,plain,
( ( ( f5 @ $false )
= $true )
| ( $true = sF14 )
| ( sF15 = $false ) ),
inference(binary_proxy_clausification,[],[f125]) ).
thf(f125,plain,
( ( sF15
= ( f5 @ $false ) )
| ( $true = sF14 ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f21,plain,
( sF15
= ( f5 @ sF14 ) ),
introduced(function_definition,[]) ).
thf(f483,plain,
( spl27_58
| spl27_57
| spl27_14 ),
inference(avatar_split_clause,[],[f126,f258,f467,f474]) ).
thf(f126,plain,
( ( sF15 = $true )
| ( ( f5 @ $false )
= $false )
| ( $true = sF14 ) ),
inference(binary_proxy_clausification,[],[f125]) ).
thf(f482,plain,
( spl27_56
| spl27_59
| spl27_9 ),
inference(avatar_split_clause,[],[f129,f235,f479,f462]) ).
thf(f462,plain,
( spl27_56
<=> ( $false = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_56])]) ).
thf(f129,plain,
( ( $true
= ( f5 @ $true ) )
| ( sF15 = $false )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f124,plain,
( ( $false = sF14 )
| ( sF15
= ( f5 @ $true ) ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f477,plain,
( spl27_56
| spl27_11
| spl27_58 ),
inference(avatar_split_clause,[],[f128,f474,f244,f462]) ).
thf(f128,plain,
( ( $false
= ( f5 @ $true ) )
| ( $false = sF14 )
| ( sF15 = $true ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f472,plain,
( spl27_57
| spl27_3
| spl27_6 ),
inference(avatar_split_clause,[],[f133,f221,f207,f467]) ).
thf(f207,plain,
( spl27_3
<=> ( $true = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
thf(f221,plain,
( spl27_6
<=> ( $false
= ( f6 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
thf(f133,plain,
( ( $false
= ( f6 @ $false ) )
| ( $true = sF13 )
| ( $true = sF14 ) ),
inference(binary_proxy_clausification,[],[f131]) ).
thf(f131,plain,
( ( ( f6 @ $false )
= sF14 )
| ( $true = sF13 ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f20,plain,
( sF14
= ( f6 @ sF13 ) ),
introduced(function_definition,[]) ).
thf(f471,plain,
( spl27_3
| spl27_8
| spl27_56 ),
inference(avatar_split_clause,[],[f132,f462,f230,f207]) ).
thf(f230,plain,
( spl27_8
<=> ( $true
= ( f6 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
thf(f132,plain,
( ( $true = sF13 )
| ( $true
= ( f6 @ $false ) )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f131]) ).
thf(f470,plain,
( spl27_57
| spl27_5
| spl27_1 ),
inference(avatar_split_clause,[],[f135,f199,f216,f467]) ).
thf(f216,plain,
( spl27_5
<=> ( $false = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
thf(f199,plain,
( spl27_1
<=> ( $false
= ( f6 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
thf(f135,plain,
( ( $true = sF14 )
| ( $false = sF13 )
| ( $false
= ( f6 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f130,plain,
( ( ( f6 @ $true )
= sF14 )
| ( $false = sF13 ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f465,plain,
( spl27_4
| spl27_56
| spl27_5 ),
inference(avatar_split_clause,[],[f134,f216,f462,f212]) ).
thf(f212,plain,
( spl27_4
<=> ( $true
= ( f6 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
thf(f134,plain,
( ( $true
= ( f6 @ $true ) )
| ( $false = sF14 )
| ( $false = sF13 ) ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f460,plain,
( spl27_48
| spl27_55
| spl27_54 ),
inference(avatar_split_clause,[],[f139,f452,f457,f426]) ).
thf(f139,plain,
( ( $false
= ( f0 @ $false ) )
| ( $true = sF24 )
| ( $true = sF23 ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f137,plain,
( ( $true = sF23 )
| ( ( f0 @ $false )
= sF24 ) ),
inference(cases_simplifying,[],[f30]) ).
thf(f30,plain,
( ( f0 @ sF23 )
= sF24 ),
introduced(function_definition,[]) ).
thf(f455,plain,
( spl27_52
| spl27_53
| spl27_54 ),
inference(avatar_split_clause,[],[f138,f452,f448,f443]) ).
thf(f138,plain,
( ( $true = sF23 )
| ( $false = sF24 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f446,plain,
( spl27_49
| spl27_51
| spl27_52 ),
inference(avatar_split_clause,[],[f141,f443,f439,f430]) ).
thf(f141,plain,
( ( $false = sF23 )
| ( $false = sF24 )
| ( $true
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f136,plain,
( ( $false = sF23 )
| ( sF24
= ( f0 @ $true ) ) ),
inference(cases_simplifying,[],[f30]) ).
thf(f437,plain,
( spl27_48
| spl27_49
| spl27_50 ),
inference(avatar_split_clause,[],[f140,f434,f430,f426]) ).
thf(f140,plain,
( ( $false
= ( f0 @ $true ) )
| ( $false = sF23 )
| ( $true = sF24 ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f424,plain,
( spl27_22
| spl27_47
| spl27_40 ),
inference(avatar_split_clause,[],[f145,f379,f420,f294]) ).
thf(f379,plain,
( spl27_40
<=> ( sF4 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_40])]) ).
thf(f145,plain,
( ( ( f4 @ $false )
= $false )
| ( sF3 = $true )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f143]) ).
thf(f143,plain,
( ( ( f4 @ $false )
= sF4 )
| ( sF3 = $true ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f10,plain,
( sF4
= ( f4 @ sF3 ) ),
introduced(function_definition,[]) ).
thf(f423,plain,
( spl27_21
| spl27_47
| spl27_38 ),
inference(avatar_split_clause,[],[f144,f369,f420,f289]) ).
thf(f369,plain,
( spl27_38
<=> ( sF4 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).
thf(f144,plain,
( ( sF4 = $false )
| ( sF3 = $true )
| ( ( f4 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f143]) ).
thf(f418,plain,
( spl27_19
| spl27_38
| spl27_46 ),
inference(avatar_split_clause,[],[f147,f414,f369,f280]) ).
thf(f147,plain,
( ( $true
= ( f4 @ $true ) )
| ( sF4 = $false )
| ( sF3 = $false ) ),
inference(binary_proxy_clausification,[],[f142]) ).
thf(f142,plain,
( ( sF4
= ( f4 @ $true ) )
| ( sF3 = $false ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f417,plain,
( spl27_46
| spl27_17
| spl27_40 ),
inference(avatar_split_clause,[],[f146,f379,f271,f414]) ).
thf(f146,plain,
( ( sF3 = $false )
| ( sF4 = $true )
| ( $false
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f142]) ).
thf(f412,plain,
( spl27_45
| spl27_14
| spl27_12 ),
inference(avatar_split_clause,[],[f151,f248,f258,f407]) ).
thf(f248,plain,
( spl27_12
<=> ( $true = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
thf(f151,plain,
( ( $true = sF1 )
| ( ( f5 @ $false )
= $false )
| ( $true = sF2 ) ),
inference(binary_proxy_clausification,[],[f149]) ).
thf(f149,plain,
( ( ( f5 @ $false )
= sF2 )
| ( $true = sF1 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f8,plain,
( ( f5 @ sF1 )
= sF2 ),
introduced(function_definition,[]) ).
thf(f411,plain,
( spl27_12
| spl27_44
| spl27_13 ),
inference(avatar_split_clause,[],[f150,f253,f402,f248]) ).
thf(f150,plain,
( ( $false = sF2 )
| ( ( f5 @ $false )
= $true )
| ( $true = sF1 ) ),
inference(binary_proxy_clausification,[],[f149]) ).
thf(f410,plain,
( spl27_45
| spl27_10
| spl27_11 ),
inference(avatar_split_clause,[],[f153,f244,f239,f407]) ).
thf(f239,plain,
( spl27_10
<=> ( $false = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
thf(f153,plain,
( ( $false = sF1 )
| ( $true = sF2 )
| ( $false
= ( f5 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f148]) ).
thf(f148,plain,
( ( ( f5 @ $true )
= sF2 )
| ( $false = sF1 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f405,plain,
( spl27_44
| spl27_9
| spl27_10 ),
inference(avatar_split_clause,[],[f152,f239,f235,f402]) ).
thf(f152,plain,
( ( $false = sF2 )
| ( $true
= ( f5 @ $true ) )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[],[f148]) ).
thf(f400,plain,
( spl27_42
| spl27_22
| spl27_16 ),
inference(avatar_split_clause,[],[f157,f267,f294,f390]) ).
thf(f267,plain,
( spl27_16
<=> ( $true = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
thf(f157,plain,
( ( $true = sF18 )
| ( $true = sF17 )
| ( ( f4 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f155,plain,
( ( $true = sF17 )
| ( ( f4 @ $false )
= sF18 ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f24,plain,
( sF18
= ( f4 @ sF17 ) ),
introduced(function_definition,[]) ).
thf(f399,plain,
( spl27_21
| spl27_43
| spl27_16 ),
inference(avatar_split_clause,[],[f156,f267,f395,f289]) ).
thf(f156,plain,
( ( ( f4 @ $false )
= $true )
| ( $false = sF18 )
| ( $true = sF17 ) ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f398,plain,
( spl27_43
| spl27_18
| spl27_19 ),
inference(avatar_split_clause,[],[f159,f280,f276,f395]) ).
thf(f276,plain,
( spl27_18
<=> ( $false = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
thf(f159,plain,
( ( $false = sF17 )
| ( $true
= ( f4 @ $true ) )
| ( $false = sF18 ) ),
inference(binary_proxy_clausification,[],[f154]) ).
thf(f154,plain,
( ( $false = sF17 )
| ( sF18
= ( f4 @ $true ) ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f393,plain,
( spl27_17
| spl27_42
| spl27_18 ),
inference(avatar_split_clause,[],[f158,f276,f390,f271]) ).
thf(f158,plain,
( ( $false
= ( f4 @ $true ) )
| ( $false = sF17 )
| ( $true = sF18 ) ),
inference(binary_proxy_clausification,[],[f154]) ).
thf(f388,plain,
~ spl27_41,
inference(avatar_split_clause,[],[f3,f385]) ).
thf(f385,plain,
( spl27_41
<=> ( $false = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_41])]) ).
thf(f3,plain,
$false != $true,
introduced(fool_axiom,[]) ).
thf(f383,plain,
( spl27_40
| spl27_30
| spl27_39 ),
inference(avatar_split_clause,[],[f163,f374,f333,f379]) ).
thf(f163,plain,
( ( $true
= ( f3 @ $false ) )
| ( $false = sF5 )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f161]) ).
thf(f161,plain,
( ( sF5
= ( f3 @ $false ) )
| ( sF4 = $true ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f11,plain,
( sF5
= ( f3 @ sF4 ) ),
introduced(function_definition,[]) ).
thf(f382,plain,
( spl27_37
| spl27_32
| spl27_40 ),
inference(avatar_split_clause,[],[f162,f379,f342,f365]) ).
thf(f162,plain,
( ( $true = sF5 )
| ( $false
= ( f3 @ $false ) )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f161]) ).
thf(f377,plain,
( spl27_38
| spl27_39
| spl27_28 ),
inference(avatar_split_clause,[],[f165,f324,f374,f369]) ).
thf(f165,plain,
( ( sF4 = $false )
| ( $false = sF5 )
| ( $true
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f160]) ).
thf(f160,plain,
( ( sF4 = $false )
| ( sF5
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f372,plain,
( spl27_26
| spl27_37
| spl27_38 ),
inference(avatar_split_clause,[],[f164,f369,f365,f315]) ).
thf(f164,plain,
( ( $false
= ( f3 @ $true ) )
| ( $true = sF5 )
| ( sF4 = $false ) ),
inference(binary_proxy_clausification,[],[f160]) ).
thf(f363,plain,
( spl27_35
| spl27_36 ),
inference(avatar_split_clause,[],[f167,f360,f356]) ).
thf(f167,plain,
( ( $false = sF26 )
| ( sF12 = $false ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
sF12 != sF26,
inference(definition_folding,[],[f5,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f6,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
thf(f7,plain,
( sF1
= ( f5 @ sF0 ) ),
introduced(function_definition,[]) ).
thf(f13,plain,
( ( f3 @ sF6 )
= sF7 ),
introduced(function_definition,[]) ).
thf(f6,plain,
( ( f6 @ x )
= sF0 ),
introduced(function_definition,[]) ).
thf(f19,plain,
( ( f6 @ sF0 )
= sF13 ),
introduced(function_definition,[]) ).
thf(f23,plain,
( sF17
= ( f4 @ sF16 ) ),
introduced(function_definition,[]) ).
thf(f5,plain,
( ( 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(cnf_transformation,[],[f4]) ).
thf(f4,plain,
( ( 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(flattening,[],[f2]) ).
thf(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]) ).
thf(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) ).
thf(f354,plain,
( spl27_33
| spl27_34 ),
inference(avatar_split_clause,[],[f166,f351,f347]) ).
thf(f166,plain,
( ( sF12 = $true )
| ( $true = sF26 ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f345,plain,
( spl27_25
| spl27_32
| spl27_31 ),
inference(avatar_split_clause,[],[f171,f337,f342,f311]) ).
thf(f171,plain,
( ( $true = sF7 )
| ( $false
= ( f3 @ $false ) )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f169]) ).
thf(f169,plain,
( ( sF6 = $true )
| ( ( f3 @ $false )
= sF7 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f340,plain,
( spl27_29
| spl27_30
| spl27_31 ),
inference(avatar_split_clause,[],[f170,f337,f333,f328]) ).
thf(f170,plain,
( ( $false = sF7 )
| ( $true
= ( f3 @ $false ) )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f169]) ).
thf(f331,plain,
( spl27_28
| spl27_27
| spl27_29 ),
inference(avatar_split_clause,[],[f173,f328,f319,f324]) ).
thf(f173,plain,
( ( $false = sF7 )
| ( sF6 = $false )
| ( $true
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f168]) ).
thf(f168,plain,
( ( sF6 = $false )
| ( sF7
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f322,plain,
( spl27_25
| spl27_26
| spl27_27 ),
inference(avatar_split_clause,[],[f172,f319,f315,f311]) ).
thf(f172,plain,
( ( sF6 = $false )
| ( $false
= ( f3 @ $true ) )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f168]) ).
thf(f309,plain,
( spl27_8
| spl27_24
| spl27_2 ),
inference(avatar_split_clause,[],[f177,f203,f305,f230]) ).
thf(f305,plain,
( spl27_24
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).
thf(f203,plain,
( spl27_2
<=> ( sF0 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
thf(f177,plain,
( ( sF0 = $false )
| ( x = $true )
| ( $true
= ( f6 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f175]) ).
thf(f175,plain,
( ( x = $true )
| ( sF0
= ( f6 @ $false ) ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f308,plain,
( spl27_24
| spl27_7
| spl27_6 ),
inference(avatar_split_clause,[],[f176,f221,f225,f305]) ).
thf(f225,plain,
( spl27_7
<=> ( sF0 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
thf(f176,plain,
( ( sF0 = $true )
| ( $false
= ( f6 @ $false ) )
| ( x = $true ) ),
inference(binary_proxy_clausification,[],[f175]) ).
thf(f303,plain,
( spl27_23
| spl27_2
| spl27_4 ),
inference(avatar_split_clause,[],[f179,f212,f203,f299]) ).
thf(f299,plain,
( spl27_23
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
thf(f179,plain,
( ( $true
= ( f6 @ $true ) )
| ( x = $false )
| ( sF0 = $false ) ),
inference(binary_proxy_clausification,[],[f174]) ).
thf(f174,plain,
( ( sF0
= ( f6 @ $true ) )
| ( x = $false ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f302,plain,
( spl27_1
| spl27_23
| spl27_7 ),
inference(avatar_split_clause,[],[f178,f225,f299,f199]) ).
thf(f178,plain,
( ( sF0 = $true )
| ( x = $false )
| ( $false
= ( f6 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f174]) ).
thf(f297,plain,
( spl27_22
| spl27_16
| spl27_20 ),
inference(avatar_split_clause,[],[f183,f285,f267,f294]) ).
thf(f183,plain,
( ( sF16 = $true )
| ( $true = sF17 )
| ( ( f4 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f181]) ).
thf(f181,plain,
( ( ( f4 @ $false )
= sF17 )
| ( sF16 = $true ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f292,plain,
( spl27_18
| spl27_20
| spl27_21 ),
inference(avatar_split_clause,[],[f182,f289,f285,f276]) ).
thf(f182,plain,
( ( $false = sF17 )
| ( ( f4 @ $false )
= $true )
| ( sF16 = $true ) ),
inference(binary_proxy_clausification,[],[f181]) ).
thf(f283,plain,
( spl27_18
| spl27_15
| spl27_19 ),
inference(avatar_split_clause,[],[f185,f280,f263,f276]) ).
thf(f185,plain,
( ( sF16 = $false )
| ( $false = sF17 )
| ( $true
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f180]) ).
thf(f180,plain,
( ( sF16 = $false )
| ( sF17
= ( f4 @ $true ) ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f274,plain,
( spl27_15
| spl27_16
| spl27_17 ),
inference(avatar_split_clause,[],[f184,f271,f267,f263]) ).
thf(f184,plain,
( ( $false
= ( f4 @ $true ) )
| ( sF16 = $false )
| ( $true = sF17 ) ),
inference(binary_proxy_clausification,[],[f180]) ).
thf(f261,plain,
( spl27_12
| spl27_7
| spl27_14 ),
inference(avatar_split_clause,[],[f189,f258,f225,f248]) ).
thf(f189,plain,
( ( $true = sF1 )
| ( ( f5 @ $false )
= $false )
| ( sF0 = $true ) ),
inference(binary_proxy_clausification,[],[f187]) ).
thf(f187,plain,
( ( ( f5 @ $false )
= sF1 )
| ( sF0 = $true ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f256,plain,
( spl27_13
| spl27_10
| spl27_7 ),
inference(avatar_split_clause,[],[f188,f225,f239,f253]) ).
thf(f188,plain,
( ( $false = sF1 )
| ( ( f5 @ $false )
= $true )
| ( sF0 = $true ) ),
inference(binary_proxy_clausification,[],[f187]) ).
thf(f251,plain,
( spl27_11
| spl27_2
| spl27_12 ),
inference(avatar_split_clause,[],[f191,f248,f203,f244]) ).
thf(f191,plain,
( ( $true = sF1 )
| ( sF0 = $false )
| ( $false
= ( f5 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f186]) ).
thf(f186,plain,
( ( sF0 = $false )
| ( ( f5 @ $true )
= sF1 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f242,plain,
( spl27_9
| spl27_2
| spl27_10 ),
inference(avatar_split_clause,[],[f190,f239,f203,f235]) ).
thf(f190,plain,
( ( $false = sF1 )
| ( $true
= ( f5 @ $true ) )
| ( sF0 = $false ) ),
inference(binary_proxy_clausification,[],[f186]) ).
thf(f233,plain,
( spl27_7
| spl27_8
| spl27_5 ),
inference(avatar_split_clause,[],[f195,f216,f230,f225]) ).
thf(f195,plain,
( ( sF0 = $true )
| ( $true
= ( f6 @ $false ) )
| ( $false = sF13 ) ),
inference(binary_proxy_clausification,[],[f193]) ).
thf(f193,plain,
( ( sF13
= ( f6 @ $false ) )
| ( sF0 = $true ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f228,plain,
( spl27_3
| spl27_6
| spl27_7 ),
inference(avatar_split_clause,[],[f194,f225,f221,f207]) ).
thf(f194,plain,
( ( sF0 = $true )
| ( $false
= ( f6 @ $false ) )
| ( $true = sF13 ) ),
inference(binary_proxy_clausification,[],[f193]) ).
thf(f219,plain,
( spl27_2
| spl27_4
| spl27_5 ),
inference(avatar_split_clause,[],[f197,f216,f212,f203]) ).
thf(f197,plain,
( ( sF0 = $false )
| ( $false = sF13 )
| ( $true
= ( f6 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f192]) ).
thf(f192,plain,
( ( sF13
= ( f6 @ $true ) )
| ( sF0 = $false ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f210,plain,
( spl27_1
| spl27_2
| spl27_3 ),
inference(avatar_split_clause,[],[f196,f207,f203,f199]) ).
thf(f196,plain,
( ( sF0 = $false )
| ( $false
= ( f6 @ $true ) )
| ( $true = sF13 ) ),
inference(binary_proxy_clausification,[],[f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:10:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (22998)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37 % (22996)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.37 % (22998)Refutation not found, incomplete strategy
% 0.14/0.37 % (22998)------------------------------
% 0.14/0.37 % (22998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (22998)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (22998)Memory used [KB]: 5500
% 0.14/0.37 % (22998)Time elapsed: 0.004 s
% 0.14/0.37 % (22998)Instructions burned: 2 (million)
% 0.14/0.37 % (22998)------------------------------
% 0.14/0.37 % (22998)------------------------------
% 0.14/0.37 % (22996)Refutation not found, incomplete strategy
% 0.14/0.37 % (22996)------------------------------
% 0.14/0.37 % (22996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (22993)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.37 % (22996)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (22996)Memory used [KB]: 5500
% 0.14/0.37 % (22996)Time elapsed: 0.003 s
% 0.14/0.37 % (22996)Instructions burned: 2 (million)
% 0.14/0.37 % (22996)------------------------------
% 0.14/0.37 % (22996)------------------------------
% 0.14/0.37 % (22991)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (22997)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (22993)Refutation not found, incomplete strategy
% 0.14/0.38 % (22993)------------------------------
% 0.14/0.38 % (22993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (22994)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (22993)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (22993)Memory used [KB]: 5500
% 0.14/0.38 % (22993)Time elapsed: 0.004 s
% 0.14/0.38 % (22993)Instructions burned: 3 (million)
% 0.14/0.38 % (22993)------------------------------
% 0.14/0.38 % (22993)------------------------------
% 0.14/0.38 % (22994)Instruction limit reached!
% 0.14/0.38 % (22994)------------------------------
% 0.14/0.38 % (22994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (22994)Termination reason: Unknown
% 0.14/0.38 % (22994)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (22994)Memory used [KB]: 5373
% 0.14/0.38 % (22994)Time elapsed: 0.002 s
% 0.14/0.38 % (22994)Instructions burned: 2 (million)
% 0.14/0.38 % (22994)------------------------------
% 0.14/0.38 % (22994)------------------------------
% 0.14/0.38 % (22992)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (22992)Instruction limit reached!
% 0.14/0.38 % (22992)------------------------------
% 0.14/0.38 % (22992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (22992)Termination reason: Unknown
% 0.14/0.38 % (22992)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (22992)Memory used [KB]: 5500
% 0.14/0.38 % (22992)Time elapsed: 0.004 s
% 0.14/0.38 % (22992)Instructions burned: 4 (million)
% 0.14/0.38 % (22992)------------------------------
% 0.14/0.38 % (22992)------------------------------
% 0.14/0.38 % (22995)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (22995)Instruction limit reached!
% 0.14/0.38 % (22995)------------------------------
% 0.14/0.38 % (22995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (22995)Termination reason: Unknown
% 0.14/0.38 % (22995)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (22995)Memory used [KB]: 5500
% 0.14/0.38 % (22995)Time elapsed: 0.003 s
% 0.14/0.38 % (22995)Instructions burned: 2 (million)
% 0.14/0.38 % (22995)------------------------------
% 0.14/0.38 % (22995)------------------------------
% 0.14/0.39 % (22997)Instruction limit reached!
% 0.14/0.39 % (22997)------------------------------
% 0.14/0.39 % (22997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (22997)Termination reason: Unknown
% 0.14/0.39 % (22997)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (22997)Memory used [KB]: 5628
% 0.14/0.39 % (22997)Time elapsed: 0.014 s
% 0.14/0.39 % (22997)Instructions burned: 18 (million)
% 0.14/0.39 % (22997)------------------------------
% 0.14/0.39 % (22997)------------------------------
% 0.14/0.39 % (23000)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.39 % (23002)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.39 % (22999)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.39 % (23001)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.39 % (23001)Refutation not found, incomplete strategy
% 0.14/0.39 % (23001)------------------------------
% 0.14/0.39 % (23001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23001)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (23001)Memory used [KB]: 5500
% 0.14/0.39 % (23001)Time elapsed: 0.003 s
% 0.14/0.39 % (23001)Instructions burned: 1 (million)
% 0.14/0.39 % (23001)------------------------------
% 0.14/0.39 % (23001)------------------------------
% 0.14/0.39 % (23002)Refutation not found, incomplete strategy
% 0.14/0.39 % (23002)------------------------------
% 0.14/0.39 % (23002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (23002)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (23002)Memory used [KB]: 5500
% 0.14/0.39 % (23002)Time elapsed: 0.006 s
% 0.14/0.39 % (23002)Instructions burned: 8 (million)
% 0.14/0.39 % (23002)------------------------------
% 0.14/0.39 % (23002)------------------------------
% 0.14/0.40 % (23000)Instruction limit reached!
% 0.14/0.40 % (23000)------------------------------
% 0.14/0.40 % (23000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (23000)Termination reason: Unknown
% 0.14/0.40 % (23000)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (23000)Memory used [KB]: 5756
% 0.14/0.40 % (23000)Time elapsed: 0.010 s
% 0.14/0.40 % (23000)Instructions burned: 17 (million)
% 0.14/0.40 % (23000)------------------------------
% 0.14/0.40 % (23000)------------------------------
% 0.14/0.40 % (23003)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (23004)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (23003)Instruction limit reached!
% 0.21/0.40 % (23003)------------------------------
% 0.21/0.40 % (23003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23003)Termination reason: Unknown
% 0.21/0.40 % (23003)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23003)Memory used [KB]: 1023
% 0.21/0.40 % (23003)Time elapsed: 0.006 s
% 0.21/0.40 % (23003)Instructions burned: 7 (million)
% 0.21/0.40 % (23003)------------------------------
% 0.21/0.40 % (23003)------------------------------
% 0.21/0.40 % (23005)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (23005)Instruction limit reached!
% 0.21/0.40 % (23005)------------------------------
% 0.21/0.40 % (23005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (23005)Termination reason: Unknown
% 0.21/0.40 % (23005)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (23005)Memory used [KB]: 5500
% 0.21/0.40 % (23005)Time elapsed: 0.004 s
% 0.21/0.40 % (23005)Instructions burned: 3 (million)
% 0.21/0.40 % (23005)------------------------------
% 0.21/0.40 % (23005)------------------------------
% 0.21/0.41 % (23004)First to succeed.
% 0.21/0.41 % (23006)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (23008)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (23006)Instruction limit reached!
% 0.21/0.41 % (23006)------------------------------
% 0.21/0.41 % (23006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (23006)Termination reason: Unknown
% 0.21/0.41 % (23006)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (23006)Memory used [KB]: 1023
% 0.21/0.41 % (23006)Time elapsed: 0.003 s
% 0.21/0.41 % (23006)Instructions burned: 3 (million)
% 0.21/0.41 % (23006)------------------------------
% 0.21/0.41 % (23006)------------------------------
% 0.21/0.41 % (23007)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (23008)Instruction limit reached!
% 0.21/0.41 % (23008)------------------------------
% 0.21/0.41 % (23008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (23008)Termination reason: Unknown
% 0.21/0.41 % (23008)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (23008)Memory used [KB]: 5500
% 0.21/0.41 % (23008)Time elapsed: 0.003 s
% 0.21/0.41 % (23008)Instructions burned: 3 (million)
% 0.21/0.41 % (23008)------------------------------
% 0.21/0.41 % (23008)------------------------------
% 0.21/0.41 % (23004)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (23004)------------------------------
% 0.21/0.42 % (23004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (23004)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (23004)Memory used [KB]: 5884
% 0.21/0.42 % (23004)Time elapsed: 0.015 s
% 0.21/0.42 % (23004)Instructions burned: 12 (million)
% 0.21/0.42 % (23004)------------------------------
% 0.21/0.42 % (23004)------------------------------
% 0.21/0.42 % (22990)Success in time 0.05 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------