TSTP Solution File: SYO500^1.005 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO500^1.005 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 09:05:29 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 117
% Syntax : Number of formulae : 317 ( 27 unt; 5 typ; 0 def)
% Number of atoms : 2000 ( 484 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 786 ( 66 ~; 406 |; 0 &; 253 @)
% ( 61 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 89 ( 86 usr; 83 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(f495,plain,
$false,
inference(avatar_sat_refutation,[],[f154,f163,f172,f177,f190,f199,f208,f213,f218,f223,f228,f229,f230,f235,f240,f241,f242,f255,f264,f273,f278,f287,f296,f301,f302,f307,f308,f321,f330,f339,f344,f345,f346,f347,f348,f353,f358,f359,f360,f369,f374,f379,f380,f381,f382,f383,f384,f385,f386,f387,f388,f401,f410,f419,f424,f425,f426,f427,f428,f433,f434,f439,f440,f441,f442,f443,f444,f449,f450,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f485,f486,f487,f488,f489,f490,f491,f492,f493,f494]) ).
thf(f494,plain,
( ( $false != sF12 )
| ( sF12 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f493,plain,
( ( x != $false )
| ( x != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f492,plain,
( ( sF9 != $true )
| ( sF9 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f491,plain,
( ( $true != sF0 )
| ( $false != sF0 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f490,plain,
( ( ( f4 @ $false )
!= $true )
| ( $false
!= ( f4 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f489,plain,
( ( $true != sF18 )
| ( $false != sF18 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f488,plain,
( ( sF16 != $true )
| ( $false != sF16 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f487,plain,
( ( sF15 != $true )
| ( sF15 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f486,plain,
( ( $true != sF6 )
| ( $false != sF6 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f485,plain,
( ( sF4 != $true )
| ( sF4 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f484,plain,
( ( sF10 != $true )
| ( sF10 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f483,plain,
( ( $true
!= ( f4 @ $true ) )
| ( $false
!= ( f4 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f482,plain,
( ( $false != sF13 )
| ( sF13 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f481,plain,
( ( $false != sF14 )
| ( sF14 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f480,plain,
( ( $true != sF17 )
| ( $false != sF17 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f479,plain,
( ( sF2 != $true )
| ( $false != sF2 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f478,plain,
( ( ( f3 @ $false )
!= $false )
| ( ( f3 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f477,plain,
( ( $false != sF1 )
| ( sF1 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f476,plain,
( ( $true
!= ( f3 @ $true ) )
| ( $false
!= ( f3 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f475,plain,
( ( sF3 != $true )
| ( $false != sF3 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f474,plain,
( ( $true != sF7 )
| ( $false != sF7 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f473,plain,
( ( $true != sF8 )
| ( $false != sF8 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f472,plain,
( ( $true
!= ( f0 @ $false ) )
| ( $false
!= ( f0 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f471,plain,
( ( ( f0 @ $true )
!= $true )
| ( ( f0 @ $true )
!= $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f470,plain,
( ( $true != sF5 )
| ( $false != sF5 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f469,plain,
( ( ( f1 @ $false )
!= $true )
| ( ( f1 @ $false )
!= $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f468,plain,
( ( $true
!= ( f1 @ $true ) )
| ( $false
!= ( f1 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f467,plain,
( ( $true
!= ( f2 @ $false ) )
| ( $false
!= ( f2 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f466,plain,
( ( sF11 != $true )
| ( sF11 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f465,plain,
( ( $false
!= ( f2 @ $true ) )
| ( ( f2 @ $true )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f464,plain,
( spl19_33
| spl19_45
| spl19_29 ),
inference(avatar_split_clause,[],[f29,f275,f355,f293]) ).
thf(f293,plain,
( spl19_33
<=> ( $false = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_33])]) ).
thf(f355,plain,
( spl19_45
<=> ( $true = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_45])]) ).
thf(f275,plain,
( spl19_29
<=> ( $true
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_29])]) ).
thf(f29,plain,
( ( $false = sF18 )
| ( $true
= ( f0 @ $false ) )
| ( $true = sF17 ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( sF18
= ( f0 @ $false ) )
| ( $true = sF17 ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f24,plain,
( ( f0 @ sF17 )
= sF18 ),
introduced(function_definition,[]) ).
thf(f463,plain,
( spl19_45
| spl19_27
| spl19_31 ),
inference(avatar_split_clause,[],[f28,f284,f266,f355]) ).
thf(f266,plain,
( spl19_27
<=> ( $false
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).
thf(f284,plain,
( spl19_31
<=> ( $true = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_31])]) ).
thf(f28,plain,
( ( $false
= ( f0 @ $false ) )
| ( $true = sF17 )
| ( $true = sF18 ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f462,plain,
( spl19_44
| spl19_31
| spl19_26 ),
inference(avatar_split_clause,[],[f31,f261,f284,f350]) ).
thf(f350,plain,
( spl19_44
<=> ( $false = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_44])]) ).
thf(f261,plain,
( spl19_26
<=> ( ( f0 @ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_26])]) ).
thf(f31,plain,
( ( $true = sF18 )
| ( $false = sF17 )
| ( ( f0 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f26,plain,
( ( $false = sF17 )
| ( ( f0 @ $true )
= sF18 ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f461,plain,
( spl19_24
| spl19_44
| spl19_33 ),
inference(avatar_split_clause,[],[f30,f293,f350,f252]) ).
thf(f252,plain,
( spl19_24
<=> ( ( f0 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_24])]) ).
thf(f30,plain,
( ( ( f0 @ $true )
= $true )
| ( $false = sF18 )
| ( $false = sF17 ) ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f460,plain,
( spl19_59
| spl19_41
| spl19_43 ),
inference(avatar_split_clause,[],[f35,f341,f332,f436]) ).
thf(f436,plain,
( spl19_59
<=> ( $true = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_59])]) ).
thf(f332,plain,
( spl19_41
<=> ( sF1 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_41])]) ).
thf(f341,plain,
( spl19_43
<=> ( ( f3 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_43])]) ).
thf(f35,plain,
( ( ( f3 @ $false )
= $false )
| ( $true = sF0 )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( $true = sF0 )
| ( ( f3 @ $false )
= sF1 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f7,plain,
( ( f3 @ sF0 )
= sF1 ),
introduced(function_definition,[]) ).
thf(f459,plain,
( spl19_42
| spl19_37
| spl19_59 ),
inference(avatar_split_clause,[],[f34,f436,f314,f336]) ).
thf(f336,plain,
( spl19_42
<=> ( ( f3 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_42])]) ).
thf(f314,plain,
( spl19_37
<=> ( $false = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_37])]) ).
thf(f34,plain,
( ( $true = sF0 )
| ( ( f3 @ $false )
= $true )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f458,plain,
( spl19_40
| spl19_58
| spl19_37 ),
inference(avatar_split_clause,[],[f37,f314,f430,f327]) ).
thf(f327,plain,
( spl19_40
<=> ( $true
= ( f3 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_40])]) ).
thf(f430,plain,
( spl19_58
<=> ( $false = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_58])]) ).
thf(f37,plain,
( ( $false = sF0 )
| ( $true
= ( f3 @ $true ) )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( ( $false = sF0 )
| ( sF1
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f457,plain,
( spl19_38
| spl19_58
| spl19_41 ),
inference(avatar_split_clause,[],[f36,f332,f430,f318]) ).
thf(f318,plain,
( spl19_38
<=> ( $false
= ( f3 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_38])]) ).
thf(f36,plain,
( ( $false = sF0 )
| ( $false
= ( f3 @ $true ) )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f456,plain,
( spl19_61
| spl19_55
| spl19_59 ),
inference(avatar_split_clause,[],[f41,f436,f412,f452]) ).
thf(f452,plain,
( spl19_61
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_61])]) ).
thf(f412,plain,
( spl19_55
<=> ( $false
= ( f4 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_55])]) ).
thf(f41,plain,
( ( x = $true )
| ( $false
= ( f4 @ $false ) )
| ( $true = sF0 ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f39,plain,
( ( ( f4 @ $false )
= sF0 )
| ( x = $true ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f6,plain,
( ( f4 @ x )
= sF0 ),
introduced(function_definition,[]) ).
thf(f455,plain,
( spl19_58
| spl19_57
| spl19_61 ),
inference(avatar_split_clause,[],[f40,f452,f421,f430]) ).
thf(f421,plain,
( spl19_57
<=> ( ( f4 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_57])]) ).
thf(f40,plain,
( ( $false = sF0 )
| ( ( f4 @ $false )
= $true )
| ( x = $true ) ),
inference(binary_proxy_clausification,[],[f39]) ).
thf(f450,plain,
( spl19_60
| spl19_53
| spl19_58 ),
inference(avatar_split_clause,[],[f43,f430,f403,f446]) ).
thf(f446,plain,
( spl19_60
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_60])]) ).
thf(f403,plain,
( spl19_53
<=> ( $true
= ( f4 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_53])]) ).
thf(f43,plain,
( ( x = $false )
| ( $false = sF0 )
| ( $true
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f38]) ).
thf(f38,plain,
( ( sF0
= ( f4 @ $true ) )
| ( x = $false ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f449,plain,
( spl19_60
| spl19_52
| spl19_59 ),
inference(avatar_split_clause,[],[f42,f436,f398,f446]) ).
thf(f398,plain,
( spl19_52
<=> ( $false
= ( f4 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_52])]) ).
thf(f42,plain,
( ( $false
= ( f4 @ $true ) )
| ( x = $false )
| ( $true = sF0 ) ),
inference(binary_proxy_clausification,[],[f38]) ).
thf(f444,plain,
( spl19_35
| spl19_36
| spl19_43 ),
inference(avatar_split_clause,[],[f47,f341,f310,f304]) ).
thf(f304,plain,
( spl19_35
<=> ( sF3 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_35])]) ).
thf(f310,plain,
( spl19_36
<=> ( sF2 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_36])]) ).
thf(f47,plain,
( ( sF2 = $true )
| ( sF3 = $true )
| ( ( f3 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f45,plain,
( ( sF2 = $true )
| ( ( f3 @ $false )
= sF3 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f9,plain,
( sF3
= ( f3 @ sF2 ) ),
introduced(function_definition,[]) ).
thf(f443,plain,
( spl19_34
| spl19_42
| spl19_36 ),
inference(avatar_split_clause,[],[f46,f310,f336,f298]) ).
thf(f298,plain,
( spl19_34
<=> ( $false = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_34])]) ).
thf(f46,plain,
( ( ( f3 @ $false )
= $true )
| ( sF2 = $true )
| ( $false = sF3 ) ),
inference(binary_proxy_clausification,[],[f45]) ).
thf(f442,plain,
( spl19_39
| spl19_34
| spl19_40 ),
inference(avatar_split_clause,[],[f49,f327,f298,f323]) ).
thf(f323,plain,
( spl19_39
<=> ( $false = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_39])]) ).
thf(f49,plain,
( ( $false = sF2 )
| ( $true
= ( f3 @ $true ) )
| ( $false = sF3 ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f44,plain,
( ( sF3
= ( f3 @ $true ) )
| ( $false = sF2 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f441,plain,
( spl19_38
| spl19_39
| spl19_35 ),
inference(avatar_split_clause,[],[f48,f304,f323,f318]) ).
thf(f48,plain,
( ( $false = sF2 )
| ( $false
= ( f3 @ $true ) )
| ( sF3 = $true ) ),
inference(binary_proxy_clausification,[],[f44]) ).
thf(f440,plain,
( spl19_57
| spl19_59
| spl19_51 ),
inference(avatar_split_clause,[],[f53,f394,f436,f421]) ).
thf(f394,plain,
( spl19_51
<=> ( sF9 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_51])]) ).
thf(f53,plain,
( ( ( f4 @ $false )
= $true )
| ( $true = sF0 )
| ( sF9 = $false ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f51,plain,
( ( sF9
= ( f4 @ $false ) )
| ( $true = sF0 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f15,plain,
( sF9
= ( f4 @ sF0 ) ),
introduced(function_definition,[]) ).
thf(f439,plain,
( spl19_59
| spl19_56
| spl19_55 ),
inference(avatar_split_clause,[],[f52,f412,f416,f436]) ).
thf(f416,plain,
( spl19_56
<=> ( sF9 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_56])]) ).
thf(f52,plain,
( ( sF9 = $true )
| ( $true = sF0 )
| ( $false
= ( f4 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f434,plain,
( spl19_58
| spl19_53
| spl19_51 ),
inference(avatar_split_clause,[],[f55,f394,f403,f430]) ).
thf(f55,plain,
( ( $true
= ( f4 @ $true ) )
| ( sF9 = $false )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f50,plain,
( ( sF9
= ( f4 @ $true ) )
| ( $false = sF0 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f433,plain,
( spl19_52
| spl19_56
| spl19_58 ),
inference(avatar_split_clause,[],[f54,f430,f416,f398]) ).
thf(f54,plain,
( ( $false
= ( f4 @ $true ) )
| ( sF9 = $true )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[],[f50]) ).
thf(f428,plain,
( spl19_43
| spl19_6
| spl19_50 ),
inference(avatar_split_clause,[],[f59,f390,f165,f341]) ).
thf(f165,plain,
( spl19_6
<=> ( sF11 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
thf(f390,plain,
( spl19_50
<=> ( sF10 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_50])]) ).
thf(f59,plain,
( ( ( f3 @ $false )
= $false )
| ( sF10 = $true )
| ( sF11 = $true ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( sF10 = $true )
| ( ( f3 @ $false )
= sF11 ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f17,plain,
( sF11
= ( f3 @ sF10 ) ),
introduced(function_definition,[]) ).
thf(f427,plain,
( spl19_42
| spl19_3
| spl19_50 ),
inference(avatar_split_clause,[],[f58,f390,f151,f336]) ).
thf(f151,plain,
( spl19_3
<=> ( sF11 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
thf(f58,plain,
( ( ( f3 @ $false )
= $true )
| ( sF10 = $true )
| ( sF11 = $false ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f426,plain,
( spl19_40
| spl19_3
| spl19_54 ),
inference(avatar_split_clause,[],[f61,f407,f151,f327]) ).
thf(f407,plain,
( spl19_54
<=> ( sF10 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_54])]) ).
thf(f61,plain,
( ( sF10 = $false )
| ( $true
= ( f3 @ $true ) )
| ( sF11 = $false ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( sF10 = $false )
| ( sF11
= ( f3 @ $true ) ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f425,plain,
( spl19_54
| spl19_6
| spl19_38 ),
inference(avatar_split_clause,[],[f60,f318,f165,f407]) ).
thf(f60,plain,
( ( sF10 = $false )
| ( $false
= ( f3 @ $true ) )
| ( sF11 = $true ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f424,plain,
( spl19_56
| spl19_57
| spl19_54 ),
inference(avatar_split_clause,[],[f65,f407,f421,f416]) ).
thf(f65,plain,
( ( ( f4 @ $false )
= $true )
| ( sF10 = $false )
| ( sF9 = $true ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( sF10
= ( f4 @ $false ) )
| ( sF9 = $true ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f16,plain,
( sF10
= ( f4 @ sF9 ) ),
introduced(function_definition,[]) ).
thf(f419,plain,
( spl19_50
| spl19_55
| spl19_56 ),
inference(avatar_split_clause,[],[f64,f416,f412,f390]) ).
thf(f64,plain,
( ( sF10 = $true )
| ( $false
= ( f4 @ $false ) )
| ( sF9 = $true ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f410,plain,
( spl19_53
| spl19_54
| spl19_51 ),
inference(avatar_split_clause,[],[f67,f394,f407,f403]) ).
thf(f67,plain,
( ( $true
= ( f4 @ $true ) )
| ( sF10 = $false )
| ( sF9 = $false ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( sF10
= ( f4 @ $true ) )
| ( sF9 = $false ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f401,plain,
( spl19_50
| spl19_51
| spl19_52 ),
inference(avatar_split_clause,[],[f66,f398,f394,f390]) ).
thf(f66,plain,
( ( sF9 = $false )
| ( sF10 = $true )
| ( $false
= ( f4 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f388,plain,
( spl19_4
| spl19_8
| spl19_46 ),
inference(avatar_split_clause,[],[f71,f362,f174,f156]) ).
thf(f156,plain,
( spl19_4
<=> ( sF12 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
thf(f174,plain,
( spl19_8
<=> ( $true
= ( f2 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
thf(f362,plain,
( spl19_46
<=> ( $false = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_46])]) ).
thf(f71,plain,
( ( $true
= ( f2 @ $false ) )
| ( sF12 = $true )
| ( $false = sF13 ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( ( sF12 = $true )
| ( sF13
= ( f2 @ $false ) ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f19,plain,
( sF13
= ( f2 @ sF12 ) ),
introduced(function_definition,[]) ).
thf(f387,plain,
( spl19_49
| spl19_4
| spl19_7 ),
inference(avatar_split_clause,[],[f70,f169,f156,f376]) ).
thf(f376,plain,
( spl19_49
<=> ( sF13 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_49])]) ).
thf(f169,plain,
( spl19_7
<=> ( $false
= ( f2 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
thf(f70,plain,
( ( sF13 = $true )
| ( $false
= ( f2 @ $false ) )
| ( sF12 = $true ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f386,plain,
( spl19_1
| spl19_2
| spl19_46 ),
inference(avatar_split_clause,[],[f73,f362,f147,f143]) ).
thf(f143,plain,
( spl19_1
<=> ( $false = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
thf(f147,plain,
( spl19_2
<=> ( ( f2 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
thf(f73,plain,
( ( $false = sF13 )
| ( ( f2 @ $true )
= $true )
| ( $false = sF12 ) ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f68,plain,
( ( sF13
= ( f2 @ $true ) )
| ( $false = sF12 ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f385,plain,
( spl19_5
| spl19_49
| spl19_1 ),
inference(avatar_split_clause,[],[f72,f143,f376,f160]) ).
thf(f160,plain,
( spl19_5
<=> ( $false
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
thf(f72,plain,
( ( sF13 = $true )
| ( $false
= ( f2 @ $true ) )
| ( $false = sF12 ) ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f384,plain,
( spl19_14
| spl19_47
| spl19_22 ),
inference(avatar_split_clause,[],[f77,f244,f366,f201]) ).
thf(f201,plain,
( spl19_14
<=> ( ( f1 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
thf(f366,plain,
( spl19_47
<=> ( sF14 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_47])]) ).
thf(f244,plain,
( spl19_22
<=> ( sF15 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_22])]) ).
thf(f77,plain,
( ( ( f1 @ $false )
= $true )
| ( sF15 = $false )
| ( sF14 = $true ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
( ( sF14 = $true )
| ( sF15
= ( f1 @ $false ) ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f21,plain,
( sF15
= ( f1 @ sF14 ) ),
introduced(function_definition,[]) ).
thf(f383,plain,
( spl19_16
| spl19_28
| spl19_47 ),
inference(avatar_split_clause,[],[f76,f366,f270,f210]) ).
thf(f210,plain,
( spl19_16
<=> ( ( f1 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
thf(f270,plain,
( spl19_28
<=> ( sF15 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_28])]) ).
thf(f76,plain,
( ( sF14 = $true )
| ( ( f1 @ $false )
= $false )
| ( sF15 = $true ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f382,plain,
( spl19_13
| spl19_48
| spl19_22 ),
inference(avatar_split_clause,[],[f79,f244,f371,f196]) ).
thf(f196,plain,
( spl19_13
<=> ( $true
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
thf(f371,plain,
( spl19_48
<=> ( $false = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_48])]) ).
thf(f79,plain,
( ( sF15 = $false )
| ( $true
= ( f1 @ $true ) )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
( ( sF15
= ( f1 @ $true ) )
| ( $false = sF14 ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f381,plain,
( spl19_11
| spl19_48
| spl19_28 ),
inference(avatar_split_clause,[],[f78,f270,f371,f187]) ).
thf(f187,plain,
( spl19_11
<=> ( $false
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
thf(f78,plain,
( ( sF15 = $true )
| ( $false
= ( f1 @ $true ) )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f380,plain,
( spl19_48
| spl19_8
| spl19_49 ),
inference(avatar_split_clause,[],[f83,f376,f174,f371]) ).
thf(f83,plain,
( ( sF13 = $true )
| ( $false = sF14 )
| ( $true
= ( f2 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f81,plain,
( ( sF14
= ( f2 @ $false ) )
| ( sF13 = $true ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f20,plain,
( sF14
= ( f2 @ sF13 ) ),
introduced(function_definition,[]) ).
thf(f379,plain,
( spl19_47
| spl19_7
| spl19_49 ),
inference(avatar_split_clause,[],[f82,f376,f169,f366]) ).
thf(f82,plain,
( ( sF14 = $true )
| ( sF13 = $true )
| ( $false
= ( f2 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f374,plain,
( spl19_2
| spl19_46
| spl19_48 ),
inference(avatar_split_clause,[],[f85,f371,f362,f147]) ).
thf(f85,plain,
( ( $false = sF13 )
| ( ( f2 @ $true )
= $true )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
( ( $false = sF13 )
| ( sF14
= ( f2 @ $true ) ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f369,plain,
( spl19_46
| spl19_47
| spl19_5 ),
inference(avatar_split_clause,[],[f84,f160,f366,f362]) ).
thf(f84,plain,
( ( sF14 = $true )
| ( $false
= ( f2 @ $true ) )
| ( $false = sF13 ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f360,plain,
( spl19_25
| spl19_44
| spl19_29 ),
inference(avatar_split_clause,[],[f89,f275,f350,f257]) ).
thf(f257,plain,
( spl19_25
<=> ( sF16 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).
thf(f89,plain,
( ( sF16 = $true )
| ( $false = sF17 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f87]) ).
thf(f87,plain,
( ( sF16 = $true )
| ( sF17
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f23,plain,
( ( f0 @ sF16 )
= sF17 ),
introduced(function_definition,[]) ).
thf(f359,plain,
( spl19_25
| spl19_27
| spl19_45 ),
inference(avatar_split_clause,[],[f88,f355,f266,f257]) ).
thf(f88,plain,
( ( $true = sF17 )
| ( $false
= ( f0 @ $false ) )
| ( sF16 = $true ) ),
inference(binary_proxy_clausification,[],[f87]) ).
thf(f358,plain,
( spl19_23
| spl19_26
| spl19_45 ),
inference(avatar_split_clause,[],[f91,f355,f261,f248]) ).
thf(f248,plain,
( spl19_23
<=> ( $false = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).
thf(f91,plain,
( ( ( f0 @ $true )
= $false )
| ( $false = sF16 )
| ( $true = sF17 ) ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f86,plain,
( ( $false = sF16 )
| ( ( f0 @ $true )
= sF17 ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f353,plain,
( spl19_24
| spl19_44
| spl19_23 ),
inference(avatar_split_clause,[],[f90,f248,f350,f252]) ).
thf(f90,plain,
( ( ( f0 @ $true )
= $true )
| ( $false = sF16 )
| ( $false = sF17 ) ),
inference(binary_proxy_clausification,[],[f86]) ).
thf(f348,plain,
( spl19_29
| spl19_20
| spl19_32 ),
inference(avatar_split_clause,[],[f95,f289,f232,f275]) ).
thf(f232,plain,
( spl19_20
<=> ( $true = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_20])]) ).
thf(f289,plain,
( spl19_32
<=> ( $false = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_32])]) ).
thf(f95,plain,
( ( $true
= ( f0 @ $false ) )
| ( $false = sF8 )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f93]) ).
thf(f93,plain,
( ( sF8
= ( f0 @ $false ) )
| ( $true = sF7 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f14,plain,
( sF8
= ( f0 @ sF7 ) ),
introduced(function_definition,[]) ).
thf(f347,plain,
( spl19_27
| spl19_20
| spl19_30 ),
inference(avatar_split_clause,[],[f94,f280,f232,f266]) ).
thf(f280,plain,
( spl19_30
<=> ( $true = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_30])]) ).
thf(f94,plain,
( ( $false
= ( f0 @ $false ) )
| ( $true = sF8 )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f93]) ).
thf(f346,plain,
( spl19_21
| spl19_26
| spl19_30 ),
inference(avatar_split_clause,[],[f97,f280,f261,f237]) ).
thf(f237,plain,
( spl19_21
<=> ( $false = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_21])]) ).
thf(f97,plain,
( ( $true = sF8 )
| ( $false = sF7 )
| ( ( f0 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f92]) ).
thf(f92,plain,
( ( ( f0 @ $true )
= sF8 )
| ( $false = sF7 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f345,plain,
( spl19_24
| spl19_32
| spl19_21 ),
inference(avatar_split_clause,[],[f96,f237,f289,f252]) ).
thf(f96,plain,
( ( $false = sF7 )
| ( ( f0 @ $true )
= $true )
| ( $false = sF8 ) ),
inference(binary_proxy_clausification,[],[f92]) ).
thf(f344,plain,
( spl19_43
| spl19_36
| spl19_41 ),
inference(avatar_split_clause,[],[f101,f332,f310,f341]) ).
thf(f101,plain,
( ( sF2 = $true )
| ( ( f3 @ $false )
= $false )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( sF1 = $true )
| ( ( f3 @ $false )
= sF2 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f8,plain,
( sF2
= ( f3 @ sF1 ) ),
introduced(function_definition,[]) ).
thf(f339,plain,
( spl19_41
| spl19_42
| spl19_39 ),
inference(avatar_split_clause,[],[f100,f323,f336,f332]) ).
thf(f100,plain,
( ( $false = sF2 )
| ( ( f3 @ $false )
= $true )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f99]) ).
thf(f330,plain,
( spl19_39
| spl19_37
| spl19_40 ),
inference(avatar_split_clause,[],[f103,f327,f314,f323]) ).
thf(f103,plain,
( ( $false = sF1 )
| ( $false = sF2 )
| ( $true
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f98]) ).
thf(f98,plain,
( ( sF2
= ( f3 @ $true ) )
| ( $false = sF1 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f321,plain,
( spl19_36
| spl19_37
| spl19_38 ),
inference(avatar_split_clause,[],[f102,f318,f314,f310]) ).
thf(f102,plain,
( ( $false = sF1 )
| ( sF2 = $true )
| ( $false
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f98]) ).
thf(f308,plain,
( spl19_35
| spl19_9
| spl19_8 ),
inference(avatar_split_clause,[],[f107,f174,f179,f304]) ).
thf(f179,plain,
( spl19_9
<=> ( sF4 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
thf(f107,plain,
( ( sF4 = $false )
| ( $true
= ( f2 @ $false ) )
| ( sF3 = $true ) ),
inference(binary_proxy_clausification,[],[f105]) ).
thf(f105,plain,
( ( sF4
= ( f2 @ $false ) )
| ( sF3 = $true ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f10,plain,
( sF4
= ( f2 @ sF3 ) ),
introduced(function_definition,[]) ).
thf(f307,plain,
( spl19_35
| spl19_7
| spl19_15 ),
inference(avatar_split_clause,[],[f106,f205,f169,f304]) ).
thf(f205,plain,
( spl19_15
<=> ( sF4 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
thf(f106,plain,
( ( $false
= ( f2 @ $false ) )
| ( sF3 = $true )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f105]) ).
thf(f302,plain,
( spl19_9
| spl19_34
| spl19_2 ),
inference(avatar_split_clause,[],[f109,f147,f298,f179]) ).
thf(f109,plain,
( ( ( f2 @ $true )
= $true )
| ( sF4 = $false )
| ( $false = sF3 ) ),
inference(binary_proxy_clausification,[],[f104]) ).
thf(f104,plain,
( ( $false = sF3 )
| ( sF4
= ( f2 @ $true ) ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f301,plain,
( spl19_5
| spl19_34
| spl19_15 ),
inference(avatar_split_clause,[],[f108,f205,f298,f160]) ).
thf(f108,plain,
( ( sF4 = $true )
| ( $false = sF3 )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f104]) ).
thf(f296,plain,
( spl19_32
| spl19_33 ),
inference(avatar_split_clause,[],[f111,f293,f289]) ).
thf(f111,plain,
( ( $false = sF8 )
| ( $false = sF18 ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
sF18 != sF8,
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f6,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
thf(f11,plain,
( ( f1 @ sF4 )
= sF5 ),
introduced(function_definition,[]) ).
thf(f12,plain,
( sF6
= ( f1 @ sF5 ) ),
introduced(function_definition,[]) ).
thf(f13,plain,
( ( f1 @ sF6 )
= sF7 ),
introduced(function_definition,[]) ).
thf(f18,plain,
( sF12
= ( f2 @ sF11 ) ),
introduced(function_definition,[]) ).
thf(f22,plain,
( ( f0 @ sF15 )
= sF16 ),
introduced(function_definition,[]) ).
thf(f5,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski5) ).
thf(f287,plain,
( spl19_30
| spl19_31 ),
inference(avatar_split_clause,[],[f110,f284,f280]) ).
thf(f110,plain,
( ( $true = sF18 )
| ( $true = sF8 ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f278,plain,
( spl19_28
| spl19_29
| spl19_23 ),
inference(avatar_split_clause,[],[f115,f248,f275,f270]) ).
thf(f115,plain,
( ( $true
= ( f0 @ $false ) )
| ( sF15 = $true )
| ( $false = sF16 ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f113,plain,
( ( sF16
= ( f0 @ $false ) )
| ( sF15 = $true ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f273,plain,
( spl19_25
| spl19_27
| spl19_28 ),
inference(avatar_split_clause,[],[f114,f270,f266,f257]) ).
thf(f114,plain,
( ( sF16 = $true )
| ( sF15 = $true )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f264,plain,
( spl19_22
| spl19_25
| spl19_26 ),
inference(avatar_split_clause,[],[f117,f261,f257,f244]) ).
thf(f117,plain,
( ( sF15 = $false )
| ( ( f0 @ $true )
= $false )
| ( sF16 = $true ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f112,plain,
( ( ( f0 @ $true )
= sF16 )
| ( sF15 = $false ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f255,plain,
( spl19_22
| spl19_23
| spl19_24 ),
inference(avatar_split_clause,[],[f116,f252,f248,f244]) ).
thf(f116,plain,
( ( $false = sF16 )
| ( ( f0 @ $true )
= $true )
| ( sF15 = $false ) ),
inference(binary_proxy_clausification,[],[f112]) ).
thf(f242,plain,
( spl19_18
| spl19_20
| spl19_16 ),
inference(avatar_split_clause,[],[f121,f210,f232,f220]) ).
thf(f220,plain,
( spl19_18
<=> ( $true = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).
thf(f121,plain,
( ( $true = sF6 )
| ( $true = sF7 )
| ( ( f1 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f119]) ).
thf(f119,plain,
( ( $true = sF6 )
| ( ( f1 @ $false )
= sF7 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f241,plain,
( spl19_21
| spl19_18
| spl19_14 ),
inference(avatar_split_clause,[],[f120,f201,f220,f237]) ).
thf(f120,plain,
( ( ( f1 @ $false )
= $true )
| ( $false = sF7 )
| ( $true = sF6 ) ),
inference(binary_proxy_clausification,[],[f119]) ).
thf(f240,plain,
( spl19_19
| spl19_13
| spl19_21 ),
inference(avatar_split_clause,[],[f123,f237,f196,f225]) ).
thf(f225,plain,
( spl19_19
<=> ( $false = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).
thf(f123,plain,
( ( $false = sF7 )
| ( $false = sF6 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f118,plain,
( ( sF7
= ( f1 @ $true ) )
| ( $false = sF6 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f235,plain,
( spl19_20
| spl19_19
| spl19_11 ),
inference(avatar_split_clause,[],[f122,f187,f225,f232]) ).
thf(f122,plain,
( ( $false
= ( f1 @ $true ) )
| ( $false = sF6 )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f118]) ).
thf(f230,plain,
( spl19_10
| spl19_16
| spl19_18 ),
inference(avatar_split_clause,[],[f127,f220,f210,f183]) ).
thf(f183,plain,
( spl19_10
<=> ( $true = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
thf(f127,plain,
( ( $true = sF5 )
| ( $true = sF6 )
| ( ( f1 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f125]) ).
thf(f125,plain,
( ( $true = sF5 )
| ( ( f1 @ $false )
= sF6 ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f229,plain,
( spl19_19
| spl19_14
| spl19_10 ),
inference(avatar_split_clause,[],[f126,f183,f201,f225]) ).
thf(f126,plain,
( ( $true = sF5 )
| ( $false = sF6 )
| ( ( f1 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f125]) ).
thf(f228,plain,
( spl19_13
| spl19_12
| spl19_19 ),
inference(avatar_split_clause,[],[f129,f225,f192,f196]) ).
thf(f192,plain,
( spl19_12
<=> ( $false = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
thf(f129,plain,
( ( $false = sF6 )
| ( $true
= ( f1 @ $true ) )
| ( $false = sF5 ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f124,plain,
( ( $false = sF5 )
| ( sF6
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f223,plain,
( spl19_18
| spl19_12
| spl19_11 ),
inference(avatar_split_clause,[],[f128,f187,f192,f220]) ).
thf(f128,plain,
( ( $true = sF6 )
| ( $false = sF5 )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f124]) ).
thf(f218,plain,
~ spl19_17,
inference(avatar_split_clause,[],[f3,f215]) ).
thf(f215,plain,
( spl19_17
<=> ( $false = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).
thf(f3,plain,
$false != $true,
introduced(fool_axiom,[]) ).
thf(f213,plain,
( spl19_10
| spl19_15
| spl19_16 ),
inference(avatar_split_clause,[],[f133,f210,f205,f183]) ).
thf(f133,plain,
( ( ( f1 @ $false )
= $false )
| ( $true = sF5 )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f131]) ).
thf(f131,plain,
( ( ( f1 @ $false )
= sF5 )
| ( sF4 = $true ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f208,plain,
( spl19_12
| spl19_14
| spl19_15 ),
inference(avatar_split_clause,[],[f132,f205,f201,f192]) ).
thf(f132,plain,
( ( sF4 = $true )
| ( ( f1 @ $false )
= $true )
| ( $false = sF5 ) ),
inference(binary_proxy_clausification,[],[f131]) ).
thf(f199,plain,
( spl19_9
| spl19_12
| spl19_13 ),
inference(avatar_split_clause,[],[f135,f196,f192,f179]) ).
thf(f135,plain,
( ( $false = sF5 )
| ( $true
= ( f1 @ $true ) )
| ( sF4 = $false ) ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f130,plain,
( ( sF5
= ( f1 @ $true ) )
| ( sF4 = $false ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f190,plain,
( spl19_9
| spl19_10
| spl19_11 ),
inference(avatar_split_clause,[],[f134,f187,f183,f179]) ).
thf(f134,plain,
( ( $true = sF5 )
| ( sF4 = $false )
| ( $false
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f130]) ).
thf(f177,plain,
( spl19_8
| spl19_6
| spl19_1 ),
inference(avatar_split_clause,[],[f139,f143,f165,f174]) ).
thf(f139,plain,
( ( $true
= ( f2 @ $false ) )
| ( sF11 = $true )
| ( $false = sF12 ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f137,plain,
( ( sF12
= ( f2 @ $false ) )
| ( sF11 = $true ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f172,plain,
( spl19_4
| spl19_6
| spl19_7 ),
inference(avatar_split_clause,[],[f138,f169,f165,f156]) ).
thf(f138,plain,
( ( sF11 = $true )
| ( sF12 = $true )
| ( $false
= ( f2 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f137]) ).
thf(f163,plain,
( spl19_3
| spl19_4
| spl19_5 ),
inference(avatar_split_clause,[],[f141,f160,f156,f151]) ).
thf(f141,plain,
( ( sF11 = $false )
| ( $false
= ( f2 @ $true ) )
| ( sF12 = $true ) ),
inference(binary_proxy_clausification,[],[f136]) ).
thf(f136,plain,
( ( sF11 = $false )
| ( ( f2 @ $true )
= sF12 ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f154,plain,
( spl19_1
| spl19_2
| spl19_3 ),
inference(avatar_split_clause,[],[f140,f151,f147,f143]) ).
thf(f140,plain,
( ( $false = sF12 )
| ( sF11 = $false )
| ( ( f2 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO500^1.005 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 10:23:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % (18478)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.22/0.37 % (18478)Refutation not found, incomplete strategy
% 0.22/0.37 % (18478)------------------------------
% 0.22/0.37 % (18478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (18478)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37
% 0.22/0.37 % (18478)Memory used [KB]: 5500
% 0.22/0.37 % (18478)Time elapsed: 0.002 s
% 0.22/0.37 % (18478)Instructions burned: 1 (million)
% 0.22/0.37 % (18478)------------------------------
% 0.22/0.37 % (18478)------------------------------
% 0.22/0.38 % (18471)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.22/0.38 % (18474)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.38 % (18475)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 (3000ds/2Mi)
% 0.22/0.38 % (18477)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.22/0.38 % (18476)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 (3000ds/275Mi)
% 0.22/0.38 % (18473)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 (3000ds/27Mi)
% 0.22/0.38 % (18472)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 (3000ds/4Mi)
% 0.22/0.38 % (18474)Instruction limit reached!
% 0.22/0.38 % (18474)------------------------------
% 0.22/0.38 % (18474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18475)Instruction limit reached!
% 0.22/0.38 % (18475)------------------------------
% 0.22/0.38 % (18475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18474)Termination reason: Unknown
% 0.22/0.38 % (18474)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (18474)Memory used [KB]: 5500
% 0.22/0.38 % (18474)Time elapsed: 0.004 s
% 0.22/0.38 % (18474)Instructions burned: 2 (million)
% 0.22/0.38 % (18474)------------------------------
% 0.22/0.38 % (18474)------------------------------
% 0.22/0.38 % (18475)Termination reason: Unknown
% 0.22/0.38 % (18476)Refutation not found, incomplete strategy
% 0.22/0.38 % (18476)------------------------------
% 0.22/0.38 % (18476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18476)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (18476)Memory used [KB]: 5500
% 0.22/0.38 % (18476)Time elapsed: 0.004 s
% 0.22/0.38 % (18476)Instructions burned: 1 (million)
% 0.22/0.38 % (18476)------------------------------
% 0.22/0.38 % (18476)------------------------------
% 0.22/0.38 % (18475)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (18475)Memory used [KB]: 5500
% 0.22/0.38 % (18475)Time elapsed: 0.004 s
% 0.22/0.38 % (18475)Instructions burned: 2 (million)
% 0.22/0.38 % (18475)------------------------------
% 0.22/0.38 % (18475)------------------------------
% 0.22/0.38 % (18473)Refutation not found, incomplete strategy
% 0.22/0.38 % (18473)------------------------------
% 0.22/0.38 % (18473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18473)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38
% 0.22/0.38 % (18473)Memory used [KB]: 5500
% 0.22/0.38 % (18473)Time elapsed: 0.005 s
% 0.22/0.38 % (18473)Instructions burned: 2 (million)
% 0.22/0.38 % (18473)------------------------------
% 0.22/0.38 % (18473)------------------------------
% 0.22/0.38 % (18472)Instruction limit reached!
% 0.22/0.38 % (18472)------------------------------
% 0.22/0.38 % (18472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (18472)Termination reason: Unknown
% 0.22/0.38 % (18472)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (18472)Memory used [KB]: 5500
% 0.22/0.38 % (18472)Time elapsed: 0.005 s
% 0.22/0.38 % (18472)Instructions burned: 5 (million)
% 0.22/0.38 % (18472)------------------------------
% 0.22/0.38 % (18472)------------------------------
% 0.22/0.38 % (18479)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)
% 0.22/0.39 % (18477)Instruction limit reached!
% 0.22/0.39 % (18477)------------------------------
% 0.22/0.39 % (18477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (18477)Termination reason: Unknown
% 0.22/0.39 % (18477)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (18477)Memory used [KB]: 5628
% 0.22/0.39 % (18477)Time elapsed: 0.014 s
% 0.22/0.39 % (18477)Instructions burned: 18 (million)
% 0.22/0.39 % (18477)------------------------------
% 0.22/0.39 % (18477)------------------------------
% 0.22/0.39 % (18480)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)
% 0.22/0.39 % (18481)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)
% 0.22/0.39 % (18482)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)
% 0.22/0.40 % (18483)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (18481)Refutation not found, incomplete strategy
% 0.22/0.40 % (18481)------------------------------
% 0.22/0.40 % (18481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18481)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (18481)Memory used [KB]: 5500
% 0.22/0.40 % (18481)Time elapsed: 0.003 s
% 0.22/0.40 % (18481)Instructions burned: 1 (million)
% 0.22/0.40 % (18481)------------------------------
% 0.22/0.40 % (18481)------------------------------
% 0.22/0.40 % (18479)Instruction limit reached!
% 0.22/0.40 % (18479)------------------------------
% 0.22/0.40 % (18479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18479)Termination reason: Unknown
% 0.22/0.40 % (18479)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (18479)Memory used [KB]: 5628
% 0.22/0.40 % (18479)Time elapsed: 0.015 s
% 0.22/0.40 % (18479)Instructions burned: 37 (million)
% 0.22/0.40 % (18479)------------------------------
% 0.22/0.40 % (18479)------------------------------
% 0.22/0.40 % (18484)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.40 % (18482)Refutation not found, incomplete strategy
% 0.22/0.40 % (18482)------------------------------
% 0.22/0.40 % (18482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18482)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (18482)Memory used [KB]: 5500
% 0.22/0.40 % (18482)Time elapsed: 0.006 s
% 0.22/0.40 % (18482)Instructions burned: 6 (million)
% 0.22/0.40 % (18482)------------------------------
% 0.22/0.40 % (18482)------------------------------
% 0.22/0.40 % (18483)Instruction limit reached!
% 0.22/0.40 % (18483)------------------------------
% 0.22/0.40 % (18483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18483)Termination reason: Unknown
% 0.22/0.40 % (18483)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (18483)Memory used [KB]: 1023
% 0.22/0.40 % (18483)Time elapsed: 0.007 s
% 0.22/0.40 % (18483)Instructions burned: 8 (million)
% 0.22/0.40 % (18483)------------------------------
% 0.22/0.40 % (18483)------------------------------
% 0.22/0.40 % (18484)First to succeed.
% 0.22/0.40 % (18480)Instruction limit reached!
% 0.22/0.40 % (18480)------------------------------
% 0.22/0.40 % (18480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (18480)Termination reason: Unknown
% 0.22/0.40 % (18480)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (18480)Memory used [KB]: 5756
% 0.22/0.40 % (18480)Time elapsed: 0.012 s
% 0.22/0.40 % (18480)Instructions burned: 16 (million)
% 0.22/0.40 % (18480)------------------------------
% 0.22/0.40 % (18480)------------------------------
% 0.22/0.40 % (18485)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)
% 0.22/0.40 % (18486)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)
% 0.22/0.41 % (18486)Instruction limit reached!
% 0.22/0.41 % (18486)------------------------------
% 0.22/0.41 % (18486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (18486)Termination reason: Unknown
% 0.22/0.41 % (18486)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (18486)Memory used [KB]: 1023
% 0.22/0.41 % (18486)Time elapsed: 0.002 s
% 0.22/0.41 % (18486)Instructions burned: 3 (million)
% 0.22/0.41 % (18486)------------------------------
% 0.22/0.41 % (18486)------------------------------
% 0.22/0.41 % (18485)Instruction limit reached!
% 0.22/0.41 % (18485)------------------------------
% 0.22/0.41 % (18485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (18485)Termination reason: Unknown
% 0.22/0.41 % (18485)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (18485)Memory used [KB]: 5500
% 0.22/0.41 % (18485)Time elapsed: 0.004 s
% 0.22/0.41 % (18485)Instructions burned: 3 (million)
% 0.22/0.41 % (18485)------------------------------
% 0.22/0.41 % (18485)------------------------------
% 0.22/0.41 % (18484)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (18484)------------------------------
% 0.22/0.41 % (18484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (18484)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (18484)Memory used [KB]: 5756
% 0.22/0.41 % (18484)Time elapsed: 0.012 s
% 0.22/0.41 % (18484)Instructions burned: 8 (million)
% 0.22/0.41 % (18484)------------------------------
% 0.22/0.41 % (18484)------------------------------
% 0.22/0.41 % (18470)Success in time 0.028 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------