TSTP Solution File: SYO500^1.006 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO500^1.006 : 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 : n005.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 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 140
% Syntax : Number of formulae : 380 ( 31 unt; 6 typ; 0 def)
% Number of atoms : 2406 ( 582 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 946 ( 78 ~; 490 |; 0 &; 305 @)
% ( 73 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 106 ( 103 usr; 99 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(f593,plain,
$false,
inference(avatar_sat_refutation,[],[f182,f191,f200,f205,f218,f227,f236,f241,f246,f247,f252,f253,f262,f267,f272,f273,f286,f295,f304,f309,f314,f319,f320,f321,f330,f339,f344,f349,f358,f367,f372,f373,f378,f379,f380,f381,f382,f383,f392,f397,f406,f411,f420,f425,f430,f431,f440,f449,f454,f459,f460,f461,f462,f463,f468,f473,f474,f475,f484,f489,f494,f495,f504,f509,f514,f515,f520,f525,f526,f527,f532,f533,f534,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592]) ).
thf(f592,plain,
( ( sF13 != $true )
| ( $false != sF13 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f591,plain,
( ( $false != sF12 )
| ( sF12 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f590,plain,
( ( $false != sF20 )
| ( sF20 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f589,plain,
( ( $false != sF21 )
| ( sF21 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f588,plain,
( ( $false != sF7 )
| ( sF7 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f587,plain,
( ( $false != sF6 )
| ( sF6 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f586,plain,
( ( $false != sF5 )
| ( $true != sF5 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f585,plain,
( ( sF16 != $true )
| ( $false != sF16 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f584,plain,
( ( sF17 != $true )
| ( $false != sF17 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f583,plain,
( ( $false != sF18 )
| ( sF18 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f582,plain,
( ( $false != sF19 )
| ( sF19 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f581,plain,
( ( $false
!= ( f1 @ $false ) )
| ( ( f1 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f580,plain,
( ( $false
!= ( f1 @ $true ) )
| ( $true
!= ( f1 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f579,plain,
( ( sF14 != $true )
| ( $false != sF14 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f578,plain,
( ( x != $true )
| ( x != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f577,plain,
( ( ( f5 @ $false )
!= $true )
| ( $false
!= ( f5 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f576,plain,
( ( ( f5 @ $true )
!= $true )
| ( $false
!= ( f5 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f575,plain,
( ( sF15 != $true )
| ( $false != sF15 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f574,plain,
( ( $false != sF9 )
| ( sF9 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f573,plain,
( ( sF8 != $true )
| ( sF8 != $false )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f572,plain,
( ( $false != sF10 )
| ( sF10 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f571,plain,
( ( $false != sF22 )
| ( $true != sF22 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f570,plain,
( ( $false != sF11 )
| ( $true != sF11 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f569,plain,
( ( $false
!= ( f2 @ $false ) )
| ( ( f2 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f568,plain,
( ( $false
!= ( f2 @ $true ) )
| ( $true
!= ( f2 @ $true ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f567,plain,
( ( $false != sF4 )
| ( sF4 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f566,plain,
( ( $false != sF3 )
| ( $true != sF3 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f565,plain,
( ( $false != sF2 )
| ( sF2 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f564,plain,
( ( $false != sF0 )
| ( $true != sF0 )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f563,plain,
( ( $false != sF1 )
| ( sF1 != $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f562,plain,
( ( ( f4 @ $false )
!= $false )
| ( ( f4 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f561,plain,
( ( ( f4 @ $true )
!= $false )
| ( ( f4 @ $true )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f560,plain,
( ( $false
!= ( f3 @ $false ) )
| ( $true
!= ( f3 @ $false ) )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f559,plain,
( ( $false
!= ( f3 @ $true ) )
| ( ( f3 @ $true )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f558,plain,
( ( $false
!= ( f0 @ $false ) )
| ( ( f0 @ $false )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f557,plain,
( ( $false
!= ( f0 @ $true ) )
| ( ( f0 @ $true )
!= $true )
| ( $false = $true ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f556,plain,
( spl23_32
| spl23_30
| spl23_22 ),
inference(avatar_split_clause,[],[f33,f269,f306,f316]) ).
thf(f316,plain,
( spl23_32
<=> ( sF2 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
thf(f306,plain,
( spl23_30
<=> ( ( f4 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
thf(f269,plain,
( spl23_22
<=> ( $true = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
thf(f33,plain,
( ( ( f4 @ $false )
= $false )
| ( $true = sF3 )
| ( sF2 = $true ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( sF2 = $true )
| ( ( f4 @ $false )
= sF3 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f9,plain,
( ( f4 @ sF2 )
= sF3 ),
introduced(function_definition,[]) ).
thf(f555,plain,
( spl23_29
| spl23_19
| spl23_32 ),
inference(avatar_split_clause,[],[f32,f316,f255,f301]) ).
thf(f301,plain,
( spl23_29
<=> ( ( f4 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
thf(f255,plain,
( spl23_19
<=> ( $false = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
thf(f32,plain,
( ( ( f4 @ $false )
= $true )
| ( sF2 = $true )
| ( $false = sF3 ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f554,plain,
( spl23_31
| spl23_22
| spl23_27 ),
inference(avatar_split_clause,[],[f35,f292,f269,f311]) ).
thf(f311,plain,
( spl23_31
<=> ( $false = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
thf(f292,plain,
( spl23_27
<=> ( ( f4 @ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
thf(f35,plain,
( ( $true = sF3 )
| ( ( f4 @ $true )
= $false )
| ( $false = sF2 ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( $false = sF2 )
| ( ( f4 @ $true )
= sF3 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f553,plain,
( spl23_31
| spl23_19
| spl23_23 ),
inference(avatar_split_clause,[],[f34,f275,f255,f311]) ).
thf(f275,plain,
( spl23_23
<=> ( ( f4 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
thf(f34,plain,
( ( $false = sF2 )
| ( ( f4 @ $true )
= $true )
| ( $false = sF3 ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f552,plain,
( spl23_71
| spl23_52
| spl23_49 ),
inference(avatar_split_clause,[],[f39,f403,f417,f517]) ).
thf(f517,plain,
( spl23_71
<=> ( sF12 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_71])]) ).
thf(f417,plain,
( spl23_52
<=> ( $false = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
thf(f403,plain,
( spl23_49
<=> ( ( f5 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
thf(f39,plain,
( ( sF12 = $true )
| ( ( f5 @ $false )
= $true )
| ( $false = sF13 ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( sF13
= ( f5 @ $false ) )
| ( sF12 = $true ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f19,plain,
( sF13
= ( f5 @ sF12 ) ),
introduced(function_definition,[]) ).
thf(f551,plain,
( spl23_71
| spl23_54
| spl23_50 ),
inference(avatar_split_clause,[],[f38,f408,f427,f517]) ).
thf(f427,plain,
( spl23_54
<=> ( sF13 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
thf(f408,plain,
( spl23_50
<=> ( $false
= ( f5 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
thf(f38,plain,
( ( sF13 = $true )
| ( sF12 = $true )
| ( $false
= ( f5 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f550,plain,
( spl23_72
| spl23_45
| spl23_52 ),
inference(avatar_split_clause,[],[f41,f417,f385,f522]) ).
thf(f522,plain,
( spl23_72
<=> ( $false = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_72])]) ).
thf(f385,plain,
( spl23_45
<=> ( ( f5 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
thf(f41,plain,
( ( $false = sF12 )
| ( $false = sF13 )
| ( ( f5 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( $false = sF12 )
| ( sF13
= ( f5 @ $true ) ) ),
inference(cases_simplifying,[],[f19]) ).
thf(f549,plain,
( spl23_47
| spl23_54
| spl23_72 ),
inference(avatar_split_clause,[],[f40,f522,f427,f394]) ).
thf(f394,plain,
( spl23_47
<=> ( $false
= ( f5 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
thf(f40,plain,
( ( $false = sF12 )
| ( $false
= ( f5 @ $true ) )
| ( sF13 = $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f548,plain,
( spl23_64
| spl23_17
| spl23_60 ),
inference(avatar_split_clause,[],[f45,f456,f243,f481]) ).
thf(f481,plain,
( spl23_64
<=> ( sF7 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_64])]) ).
thf(f243,plain,
( spl23_17
<=> ( sF8 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
thf(f456,plain,
( spl23_60
<=> ( ( f1 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
thf(f45,plain,
( ( sF7 = $true )
| ( ( f1 @ $false )
= $true )
| ( sF8 = $false ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( ( sF8
= ( f1 @ $false ) )
| ( sF7 = $true ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f14,plain,
( sF8
= ( f1 @ sF7 ) ),
introduced(function_definition,[]) ).
thf(f547,plain,
( spl23_18
| spl23_64
| spl23_59 ),
inference(avatar_split_clause,[],[f44,f451,f481,f249]) ).
thf(f249,plain,
( spl23_18
<=> ( sF8 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
thf(f451,plain,
( spl23_59
<=> ( $false
= ( f1 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
thf(f44,plain,
( ( $false
= ( f1 @ $false ) )
| ( sF8 = $true )
| ( sF7 = $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f546,plain,
( spl23_57
| spl23_65
| spl23_17 ),
inference(avatar_split_clause,[],[f47,f243,f486,f442]) ).
thf(f442,plain,
( spl23_57
<=> ( $true
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_57])]) ).
thf(f486,plain,
( spl23_65
<=> ( $false = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_65])]) ).
thf(f47,plain,
( ( sF8 = $false )
| ( $false = sF7 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f42,plain,
( ( sF8
= ( f1 @ $true ) )
| ( $false = sF7 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f545,plain,
( spl23_18
| spl23_55
| spl23_65 ),
inference(avatar_split_clause,[],[f46,f486,f433,f249]) ).
thf(f433,plain,
( spl23_55
<=> ( $false
= ( f1 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
thf(f46,plain,
( ( sF8 = $true )
| ( $false
= ( f1 @ $true ) )
| ( $false = sF7 ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f544,plain,
( spl23_7
| spl23_40
| spl23_67 ),
inference(avatar_split_clause,[],[f51,f497,f355,f197]) ).
thf(f197,plain,
( spl23_7
<=> ( $false
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
thf(f355,plain,
( spl23_40
<=> ( $true = sF22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
thf(f497,plain,
( spl23_67
<=> ( sF21 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_67])]) ).
thf(f51,plain,
( ( $true = sF22 )
| ( sF21 = $true )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( ( f0 @ $false )
= sF22 )
| ( sF21 = $true ) ),
inference(cases_simplifying,[],[f28]) ).
thf(f28,plain,
( ( f0 @ sF21 )
= sF22 ),
introduced(function_definition,[]) ).
thf(f543,plain,
( spl23_67
| spl23_42
| spl23_8 ),
inference(avatar_split_clause,[],[f50,f202,f364,f497]) ).
thf(f364,plain,
( spl23_42
<=> ( $false = sF22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
thf(f202,plain,
( spl23_8
<=> ( ( f0 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
thf(f50,plain,
( ( sF21 = $true )
| ( ( f0 @ $false )
= $true )
| ( $false = sF22 ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f542,plain,
( spl23_40
| spl23_69
| spl23_4 ),
inference(avatar_split_clause,[],[f53,f184,f506,f355]) ).
thf(f506,plain,
( spl23_69
<=> ( $false = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_69])]) ).
thf(f184,plain,
( spl23_4
<=> ( $false
= ( f0 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
thf(f53,plain,
( ( $true = sF22 )
| ( $false = sF21 )
| ( $false
= ( f0 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
( ( $false = sF21 )
| ( ( f0 @ $true )
= sF22 ) ),
inference(cases_simplifying,[],[f28]) ).
thf(f541,plain,
( spl23_69
| spl23_42
| spl23_2 ),
inference(avatar_split_clause,[],[f52,f175,f364,f506]) ).
thf(f175,plain,
( spl23_2
<=> ( ( f0 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
thf(f52,plain,
( ( $false = sF21 )
| ( $false = sF22 )
| ( ( f0 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f540,plain,
( spl23_38
| spl23_62
| spl23_63 ),
inference(avatar_split_clause,[],[f57,f477,f470,f346]) ).
thf(f346,plain,
( spl23_38
<=> ( ( f2 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_38])]) ).
thf(f470,plain,
( spl23_62
<=> ( $true = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_62])]) ).
thf(f477,plain,
( spl23_63
<=> ( $false = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_63])]) ).
thf(f57,plain,
( ( ( f2 @ $false )
= $true )
| ( $true = sF5 )
| ( $false = sF6 ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
( ( $true = sF5 )
| ( sF6
= ( f2 @ $false ) ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f12,plain,
( sF6
= ( f2 @ sF5 ) ),
introduced(function_definition,[]) ).
thf(f539,plain,
( spl23_66
| spl23_62
| spl23_37 ),
inference(avatar_split_clause,[],[f56,f341,f470,f491]) ).
thf(f491,plain,
( spl23_66
<=> ( sF6 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_66])]) ).
thf(f341,plain,
( spl23_37
<=> ( $false
= ( f2 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
thf(f56,plain,
( ( $false
= ( f2 @ $false ) )
| ( sF6 = $true )
| ( $true = sF5 ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f538,plain,
( spl23_35
| spl23_61
| spl23_63 ),
inference(avatar_split_clause,[],[f59,f477,f465,f332]) ).
thf(f332,plain,
( spl23_35
<=> ( $true
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
thf(f465,plain,
( spl23_61
<=> ( $false = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_61])]) ).
thf(f59,plain,
( ( $false = sF6 )
| ( $false = sF5 )
| ( $true
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f54,plain,
( ( sF6
= ( f2 @ $true ) )
| ( $false = sF5 ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f537,plain,
( spl23_33
| spl23_61
| spl23_66 ),
inference(avatar_split_clause,[],[f58,f491,f465,f323]) ).
thf(f323,plain,
( spl23_33
<=> ( $false
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
thf(f58,plain,
( ( $false = sF5 )
| ( sF6 = $true )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f54]) ).
thf(f536,plain,
( spl23_56
| spl23_59
| spl23_70 ),
inference(avatar_split_clause,[],[f63,f511,f451,f437]) ).
thf(f437,plain,
( spl23_56
<=> ( sF19 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
thf(f511,plain,
( spl23_70
<=> ( sF20 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_70])]) ).
thf(f63,plain,
( ( sF20 = $true )
| ( $false
= ( f1 @ $false ) )
| ( sF19 = $true ) ),
inference(binary_proxy_clausification,[],[f61]) ).
thf(f61,plain,
( ( ( f1 @ $false )
= sF20 )
| ( sF19 = $true ) ),
inference(cases_simplifying,[],[f26]) ).
thf(f26,plain,
( ( f1 @ sF19 )
= sF20 ),
introduced(function_definition,[]) ).
thf(f535,plain,
( spl23_56
| spl23_60
| spl23_68 ),
inference(avatar_split_clause,[],[f62,f501,f456,f437]) ).
thf(f501,plain,
( spl23_68
<=> ( $false = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_68])]) ).
thf(f62,plain,
( ( $false = sF20 )
| ( sF19 = $true )
| ( ( f1 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f61]) ).
thf(f534,plain,
( spl23_68
| spl23_58
| spl23_57 ),
inference(avatar_split_clause,[],[f65,f442,f446,f501]) ).
thf(f446,plain,
( spl23_58
<=> ( $false = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_58])]) ).
thf(f65,plain,
( ( $true
= ( f1 @ $true ) )
| ( $false = sF20 )
| ( $false = sF19 ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( ( $false = sF19 )
| ( sF20
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[],[f26]) ).
thf(f533,plain,
( spl23_55
| spl23_58
| spl23_70 ),
inference(avatar_split_clause,[],[f64,f511,f446,f433]) ).
thf(f64,plain,
( ( $false = sF19 )
| ( $false
= ( f1 @ $true ) )
| ( sF20 = $true ) ),
inference(binary_proxy_clausification,[],[f60]) ).
thf(f532,plain,
~ spl23_73,
inference(avatar_split_clause,[],[f3,f529]) ).
thf(f529,plain,
( spl23_73
<=> ( $false = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_73])]) ).
thf(f3,plain,
$false != $true,
introduced(fool_axiom,[]) ).
thf(f527,plain,
( spl23_71
| spl23_50
| spl23_28 ),
inference(avatar_split_clause,[],[f69,f297,f408,f517]) ).
thf(f297,plain,
( spl23_28
<=> ( $true = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
thf(f69,plain,
( ( $true = sF0 )
| ( $false
= ( f5 @ $false ) )
| ( sF12 = $true ) ),
inference(binary_proxy_clausification,[],[f67]) ).
thf(f67,plain,
( ( ( f5 @ $false )
= sF12 )
| ( $true = sF0 ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f18,plain,
( sF12
= ( f5 @ sF0 ) ),
introduced(function_definition,[]) ).
thf(f526,plain,
( spl23_72
| spl23_49
| spl23_28 ),
inference(avatar_split_clause,[],[f68,f297,f403,f522]) ).
thf(f68,plain,
( ( $true = sF0 )
| ( ( f5 @ $false )
= $true )
| ( $false = sF12 ) ),
inference(binary_proxy_clausification,[],[f67]) ).
thf(f525,plain,
( spl23_72
| spl23_45
| spl23_25 ),
inference(avatar_split_clause,[],[f71,f283,f385,f522]) ).
thf(f283,plain,
( spl23_25
<=> ( $false = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
thf(f71,plain,
( ( ( f5 @ $true )
= $true )
| ( $false = sF0 )
| ( $false = sF12 ) ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f66,plain,
( ( sF12
= ( f5 @ $true ) )
| ( $false = sF0 ) ),
inference(cases_simplifying,[],[f18]) ).
thf(f520,plain,
( spl23_25
| spl23_47
| spl23_71 ),
inference(avatar_split_clause,[],[f70,f517,f394,f283]) ).
thf(f70,plain,
( ( $false
= ( f5 @ $true ) )
| ( sF12 = $true )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f515,plain,
( spl23_69
| spl23_60
| spl23_70 ),
inference(avatar_split_clause,[],[f75,f511,f456,f506]) ).
thf(f75,plain,
( ( $false = sF21 )
| ( ( f1 @ $false )
= $true )
| ( sF20 = $true ) ),
inference(binary_proxy_clausification,[],[f73]) ).
thf(f73,plain,
( ( sF20 = $true )
| ( sF21
= ( f1 @ $false ) ) ),
inference(cases_simplifying,[],[f27]) ).
thf(f27,plain,
( ( f1 @ sF20 )
= sF21 ),
introduced(function_definition,[]) ).
thf(f514,plain,
( spl23_67
| spl23_70
| spl23_59 ),
inference(avatar_split_clause,[],[f74,f451,f511,f497]) ).
thf(f74,plain,
( ( sF21 = $true )
| ( sF20 = $true )
| ( $false
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f73]) ).
thf(f509,plain,
( spl23_68
| spl23_69
| spl23_57 ),
inference(avatar_split_clause,[],[f77,f442,f506,f501]) ).
thf(f77,plain,
( ( $false = sF21 )
| ( $false = sF20 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f72,plain,
( ( sF21
= ( f1 @ $true ) )
| ( $false = sF20 ) ),
inference(cases_simplifying,[],[f27]) ).
thf(f504,plain,
( spl23_67
| spl23_68
| spl23_55 ),
inference(avatar_split_clause,[],[f76,f433,f501,f497]) ).
thf(f76,plain,
( ( $false = sF20 )
| ( $false
= ( f1 @ $true ) )
| ( sF21 = $true ) ),
inference(binary_proxy_clausification,[],[f72]) ).
thf(f495,plain,
( spl23_64
| spl23_37
| spl23_66 ),
inference(avatar_split_clause,[],[f81,f491,f341,f481]) ).
thf(f81,plain,
( ( sF7 = $true )
| ( $false
= ( f2 @ $false ) )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f79,plain,
( ( sF6 = $true )
| ( ( f2 @ $false )
= sF7 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f13,plain,
( sF7
= ( f2 @ sF6 ) ),
introduced(function_definition,[]) ).
thf(f494,plain,
( spl23_65
| spl23_66
| spl23_38 ),
inference(avatar_split_clause,[],[f80,f346,f491,f486]) ).
thf(f80,plain,
( ( $false = sF7 )
| ( sF6 = $true )
| ( ( f2 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f79]) ).
thf(f489,plain,
( spl23_35
| spl23_63
| spl23_65 ),
inference(avatar_split_clause,[],[f83,f486,f477,f332]) ).
thf(f83,plain,
( ( $false = sF6 )
| ( $true
= ( f2 @ $true ) )
| ( $false = sF7 ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
( ( $false = sF6 )
| ( sF7
= ( f2 @ $true ) ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f484,plain,
( spl23_33
| spl23_63
| spl23_64 ),
inference(avatar_split_clause,[],[f82,f481,f477,f323]) ).
thf(f82,plain,
( ( $false = sF6 )
| ( sF7 = $true )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f475,plain,
( spl23_37
| spl23_62
| spl23_21 ),
inference(avatar_split_clause,[],[f87,f264,f470,f341]) ).
thf(f264,plain,
( spl23_21
<=> ( sF4 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
thf(f87,plain,
( ( $false
= ( f2 @ $false ) )
| ( $true = sF5 )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f85]) ).
thf(f85,plain,
( ( sF4 = $true )
| ( ( f2 @ $false )
= sF5 ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f11,plain,
( ( f2 @ sF4 )
= sF5 ),
introduced(function_definition,[]) ).
thf(f474,plain,
( spl23_61
| spl23_21
| spl23_38 ),
inference(avatar_split_clause,[],[f86,f346,f264,f465]) ).
thf(f86,plain,
( ( ( f2 @ $false )
= $true )
| ( $false = sF5 )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f85]) ).
thf(f473,plain,
( spl23_62
| spl23_33
| spl23_20 ),
inference(avatar_split_clause,[],[f89,f259,f323,f470]) ).
thf(f259,plain,
( spl23_20
<=> ( $false = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
thf(f89,plain,
( ( $false = sF4 )
| ( $true = sF5 )
| ( $false
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f84,plain,
( ( $false = sF4 )
| ( ( f2 @ $true )
= sF5 ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f468,plain,
( spl23_20
| spl23_35
| spl23_61 ),
inference(avatar_split_clause,[],[f88,f465,f332,f259]) ).
thf(f88,plain,
( ( $true
= ( f2 @ $true ) )
| ( $false = sF5 )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[],[f84]) ).
thf(f463,plain,
( spl23_53
| spl23_43
| spl23_16 ),
inference(avatar_split_clause,[],[f93,f238,f369,f422]) ).
thf(f422,plain,
( spl23_53
<=> ( sF14 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_53])]) ).
thf(f369,plain,
( spl23_43
<=> ( $false = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
thf(f238,plain,
( spl23_16
<=> ( $true
= ( f3 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
thf(f93,plain,
( ( sF14 = $true )
| ( $true
= ( f3 @ $false ) )
| ( $false = sF15 ) ),
inference(binary_proxy_clausification,[],[f91]) ).
thf(f91,plain,
( ( sF15
= ( f3 @ $false ) )
| ( sF14 = $true ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f21,plain,
( sF15
= ( f3 @ sF14 ) ),
introduced(function_definition,[]) ).
thf(f462,plain,
( spl23_44
| spl23_15
| spl23_53 ),
inference(avatar_split_clause,[],[f92,f422,f233,f375]) ).
thf(f375,plain,
( spl23_44
<=> ( sF15 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
thf(f233,plain,
( spl23_15
<=> ( $false
= ( f3 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
thf(f92,plain,
( ( sF14 = $true )
| ( $false
= ( f3 @ $false ) )
| ( sF15 = $true ) ),
inference(binary_proxy_clausification,[],[f91]) ).
thf(f461,plain,
( spl23_44
| spl23_51
| spl23_12 ),
inference(avatar_split_clause,[],[f95,f220,f413,f375]) ).
thf(f413,plain,
( spl23_51
<=> ( $false = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_51])]) ).
thf(f220,plain,
( spl23_12
<=> ( $false
= ( f3 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
thf(f95,plain,
( ( sF15 = $true )
| ( $false = sF14 )
| ( $false
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f90]) ).
thf(f90,plain,
( ( ( f3 @ $true )
= sF15 )
| ( $false = sF14 ) ),
inference(cases_simplifying,[],[f21]) ).
thf(f460,plain,
( spl23_43
| spl23_51
| spl23_10 ),
inference(avatar_split_clause,[],[f94,f211,f413,f369]) ).
thf(f211,plain,
( spl23_10
<=> ( ( f3 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
thf(f94,plain,
( ( ( f3 @ $true )
= $true )
| ( $false = sF15 )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f90]) ).
thf(f459,plain,
( spl23_34
| spl23_60
| spl23_58 ),
inference(avatar_split_clause,[],[f99,f446,f456,f327]) ).
thf(f327,plain,
( spl23_34
<=> ( sF18 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
thf(f99,plain,
( ( ( f1 @ $false )
= $true )
| ( $false = sF19 )
| ( sF18 = $true ) ),
inference(binary_proxy_clausification,[],[f97]) ).
thf(f97,plain,
( ( sF19
= ( f1 @ $false ) )
| ( sF18 = $true ) ),
inference(cases_simplifying,[],[f25]) ).
thf(f25,plain,
( sF19
= ( f1 @ sF18 ) ),
introduced(function_definition,[]) ).
thf(f454,plain,
( spl23_56
| spl23_34
| spl23_59 ),
inference(avatar_split_clause,[],[f98,f451,f327,f437]) ).
thf(f98,plain,
( ( sF18 = $true )
| ( sF19 = $true )
| ( $false
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f97]) ).
thf(f449,plain,
( spl23_36
| spl23_57
| spl23_58 ),
inference(avatar_split_clause,[],[f101,f446,f442,f336]) ).
thf(f336,plain,
( spl23_36
<=> ( $false = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
thf(f101,plain,
( ( $false = sF19 )
| ( $false = sF18 )
| ( $true
= ( f1 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f96,plain,
( ( $false = sF18 )
| ( sF19
= ( f1 @ $true ) ) ),
inference(cases_simplifying,[],[f25]) ).
thf(f440,plain,
( spl23_55
| spl23_36
| spl23_56 ),
inference(avatar_split_clause,[],[f100,f437,f336,f433]) ).
thf(f100,plain,
( ( $false = sF18 )
| ( $false
= ( f1 @ $true ) )
| ( sF19 = $true ) ),
inference(binary_proxy_clausification,[],[f96]) ).
thf(f431,plain,
( spl23_30
| spl23_53
| spl23_54 ),
inference(avatar_split_clause,[],[f105,f427,f422,f306]) ).
thf(f105,plain,
( ( ( f4 @ $false )
= $false )
| ( sF13 = $true )
| ( sF14 = $true ) ),
inference(binary_proxy_clausification,[],[f103]) ).
thf(f103,plain,
( ( sF13 = $true )
| ( ( f4 @ $false )
= sF14 ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f20,plain,
( sF14
= ( f4 @ sF13 ) ),
introduced(function_definition,[]) ).
thf(f430,plain,
( spl23_51
| spl23_54
| spl23_29 ),
inference(avatar_split_clause,[],[f104,f301,f427,f413]) ).
thf(f104,plain,
( ( sF13 = $true )
| ( $false = sF14 )
| ( ( f4 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f103]) ).
thf(f425,plain,
( spl23_27
| spl23_53
| spl23_52 ),
inference(avatar_split_clause,[],[f107,f417,f422,f292]) ).
thf(f107,plain,
( ( sF14 = $true )
| ( $false = sF13 )
| ( ( f4 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f102]) ).
thf(f102,plain,
( ( ( f4 @ $true )
= sF14 )
| ( $false = sF13 ) ),
inference(cases_simplifying,[],[f20]) ).
thf(f420,plain,
( spl23_51
| spl23_23
| spl23_52 ),
inference(avatar_split_clause,[],[f106,f417,f275,f413]) ).
thf(f106,plain,
( ( $false = sF13 )
| ( ( f4 @ $true )
= $true )
| ( $false = sF14 ) ),
inference(binary_proxy_clausification,[],[f102]) ).
thf(f411,plain,
( spl23_50
| spl23_28
| spl23_48 ),
inference(avatar_split_clause,[],[f111,f399,f297,f408]) ).
thf(f399,plain,
( spl23_48
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
thf(f111,plain,
( ( $true = sF0 )
| ( x = $true )
| ( $false
= ( f5 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f109]) ).
thf(f109,plain,
( ( x = $true )
| ( ( f5 @ $false )
= sF0 ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f6,plain,
( ( f5 @ x )
= sF0 ),
introduced(function_definition,[]) ).
thf(f406,plain,
( spl23_25
| spl23_48
| spl23_49 ),
inference(avatar_split_clause,[],[f110,f403,f399,f283]) ).
thf(f110,plain,
( ( $false = sF0 )
| ( x = $true )
| ( ( f5 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f109]) ).
thf(f397,plain,
( spl23_46
| spl23_28
| spl23_47 ),
inference(avatar_split_clause,[],[f113,f394,f297,f389]) ).
thf(f389,plain,
( spl23_46
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
thf(f113,plain,
( ( x = $false )
| ( $true = sF0 )
| ( $false
= ( f5 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f108]) ).
thf(f108,plain,
( ( x = $false )
| ( ( f5 @ $true )
= sF0 ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f392,plain,
( spl23_45
| spl23_25
| spl23_46 ),
inference(avatar_split_clause,[],[f112,f389,f283,f385]) ).
thf(f112,plain,
( ( $false = sF0 )
| ( ( f5 @ $true )
= $true )
| ( x = $false ) ),
inference(binary_proxy_clausification,[],[f108]) ).
thf(f383,plain,
( spl23_7
| spl23_5
| spl23_39 ),
inference(avatar_split_clause,[],[f117,f351,f188,f197]) ).
thf(f188,plain,
( spl23_5
<=> ( sF10 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
thf(f351,plain,
( spl23_39
<=> ( $true = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_39])]) ).
thf(f117,plain,
( ( $false
= ( f0 @ $false ) )
| ( $true = sF11 )
| ( sF10 = $true ) ),
inference(binary_proxy_clausification,[],[f115]) ).
thf(f115,plain,
( ( ( f0 @ $false )
= sF11 )
| ( sF10 = $true ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f17,plain,
( ( f0 @ sF10 )
= sF11 ),
introduced(function_definition,[]) ).
thf(f382,plain,
( spl23_41
| spl23_5
| spl23_8 ),
inference(avatar_split_clause,[],[f116,f202,f188,f360]) ).
thf(f360,plain,
( spl23_41
<=> ( $false = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
thf(f116,plain,
( ( $false = sF11 )
| ( sF10 = $true )
| ( ( f0 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f115]) ).
thf(f381,plain,
( spl23_39
| spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f119,f184,f179,f351]) ).
thf(f179,plain,
( spl23_3
<=> ( $false = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
thf(f119,plain,
( ( $false
= ( f0 @ $true ) )
| ( $true = sF11 )
| ( $false = sF10 ) ),
inference(binary_proxy_clausification,[],[f114]) ).
thf(f114,plain,
( ( ( f0 @ $true )
= sF11 )
| ( $false = sF10 ) ),
inference(cases_simplifying,[],[f17]) ).
thf(f380,plain,
( spl23_41
| spl23_2
| spl23_3 ),
inference(avatar_split_clause,[],[f118,f179,f175,f360]) ).
thf(f118,plain,
( ( ( f0 @ $true )
= $true )
| ( $false = sF10 )
| ( $false = sF11 ) ),
inference(binary_proxy_clausification,[],[f114]) ).
thf(f379,plain,
( spl23_9
| spl23_44
| spl23_16 ),
inference(avatar_split_clause,[],[f123,f238,f375,f207]) ).
thf(f207,plain,
( spl23_9
<=> ( $false = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
thf(f123,plain,
( ( $false = sF16 )
| ( sF15 = $true )
| ( $true
= ( f3 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f121]) ).
thf(f121,plain,
( ( sF16
= ( f3 @ $false ) )
| ( sF15 = $true ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f22,plain,
( ( f3 @ sF15 )
= sF16 ),
introduced(function_definition,[]) ).
thf(f378,plain,
( spl23_15
| spl23_14
| spl23_44 ),
inference(avatar_split_clause,[],[f122,f375,f229,f233]) ).
thf(f229,plain,
( spl23_14
<=> ( sF16 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
thf(f122,plain,
( ( sF16 = $true )
| ( $false
= ( f3 @ $false ) )
| ( sF15 = $true ) ),
inference(binary_proxy_clausification,[],[f121]) ).
thf(f373,plain,
( spl23_14
| spl23_43
| spl23_12 ),
inference(avatar_split_clause,[],[f125,f220,f369,f229]) ).
thf(f125,plain,
( ( $false = sF15 )
| ( sF16 = $true )
| ( $false
= ( f3 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f120]) ).
thf(f120,plain,
( ( $false = sF15 )
| ( ( f3 @ $true )
= sF16 ) ),
inference(cases_simplifying,[],[f22]) ).
thf(f372,plain,
( spl23_43
| spl23_10
| spl23_9 ),
inference(avatar_split_clause,[],[f124,f207,f211,f369]) ).
thf(f124,plain,
( ( ( f3 @ $true )
= $true )
| ( $false = sF15 )
| ( $false = sF16 ) ),
inference(binary_proxy_clausification,[],[f120]) ).
thf(f367,plain,
( spl23_41
| spl23_42 ),
inference(avatar_split_clause,[],[f127,f364,f360]) ).
thf(f127,plain,
( ( $false = sF11 )
| ( $false = sF22 ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f29,plain,
sF22 != sF11,
inference(definition_folding,[],[f5,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f6,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
thf(f7,plain,
( sF1
= ( f4 @ sF0 ) ),
introduced(function_definition,[]) ).
thf(f8,plain,
( ( f4 @ sF1 )
= sF2 ),
introduced(function_definition,[]) ).
thf(f10,plain,
( sF4
= ( f3 @ sF3 ) ),
introduced(function_definition,[]) ).
thf(f15,plain,
( sF9
= ( f0 @ sF8 ) ),
introduced(function_definition,[]) ).
thf(f16,plain,
( sF10
= ( f0 @ sF9 ) ),
introduced(function_definition,[]) ).
thf(f23,plain,
( sF17
= ( f3 @ sF16 ) ),
introduced(function_definition,[]) ).
thf(f24,plain,
( sF18
= ( f2 @ sF17 ) ),
introduced(function_definition,[]) ).
thf(f5,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) )
!= ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) )
= ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski6) ).
thf(f358,plain,
( spl23_39
| spl23_40 ),
inference(avatar_split_clause,[],[f126,f355,f351]) ).
thf(f126,plain,
( ( $true = sF22 )
| ( $true = sF11 ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f349,plain,
( spl23_36
| spl23_38
| spl23_13 ),
inference(avatar_split_clause,[],[f131,f224,f346,f336]) ).
thf(f224,plain,
( spl23_13
<=> ( sF17 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
thf(f131,plain,
( ( ( f2 @ $false )
= $true )
| ( $false = sF18 )
| ( sF17 = $true ) ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f129,plain,
( ( sF17 = $true )
| ( sF18
= ( f2 @ $false ) ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f344,plain,
( spl23_37
| spl23_34
| spl23_13 ),
inference(avatar_split_clause,[],[f130,f224,f327,f341]) ).
thf(f130,plain,
( ( sF17 = $true )
| ( $false
= ( f2 @ $false ) )
| ( sF18 = $true ) ),
inference(binary_proxy_clausification,[],[f129]) ).
thf(f339,plain,
( spl23_35
| spl23_11
| spl23_36 ),
inference(avatar_split_clause,[],[f133,f336,f215,f332]) ).
thf(f215,plain,
( spl23_11
<=> ( $false = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
thf(f133,plain,
( ( $false = sF17 )
| ( $false = sF18 )
| ( $true
= ( f2 @ $true ) ) ),
inference(binary_proxy_clausification,[],[f128]) ).
thf(f128,plain,
( ( sF18
= ( f2 @ $true ) )
| ( $false = sF17 ) ),
inference(cases_simplifying,[],[f24]) ).
thf(f330,plain,
( spl23_33
| spl23_11
| spl23_34 ),
inference(avatar_split_clause,[],[f132,f327,f215,f323]) ).
thf(f132,plain,
( ( sF18 = $true )
| ( $false
= ( f2 @ $true ) )
| ( $false = sF17 ) ),
inference(binary_proxy_clausification,[],[f128]) ).
thf(f321,plain,
( spl23_26
| spl23_30
| spl23_32 ),
inference(avatar_split_clause,[],[f137,f316,f306,f288]) ).
thf(f288,plain,
( spl23_26
<=> ( sF1 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
thf(f137,plain,
( ( sF2 = $true )
| ( ( f4 @ $false )
= $false )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f135]) ).
thf(f135,plain,
( ( ( f4 @ $false )
= sF2 )
| ( sF1 = $true ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f320,plain,
( spl23_29
| spl23_31
| spl23_26 ),
inference(avatar_split_clause,[],[f136,f288,f311,f301]) ).
thf(f136,plain,
( ( ( f4 @ $false )
= $true )
| ( sF1 = $true )
| ( $false = sF2 ) ),
inference(binary_proxy_clausification,[],[f135]) ).
thf(f319,plain,
( spl23_32
| spl23_24
| spl23_27 ),
inference(avatar_split_clause,[],[f139,f292,f279,f316]) ).
thf(f279,plain,
( spl23_24
<=> ( $false = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
thf(f139,plain,
( ( sF2 = $true )
| ( ( f4 @ $true )
= $false )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[],[f134]) ).
thf(f134,plain,
( ( $false = sF1 )
| ( ( f4 @ $true )
= sF2 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f314,plain,
( spl23_24
| spl23_23
| spl23_31 ),
inference(avatar_split_clause,[],[f138,f311,f275,f279]) ).
thf(f138,plain,
( ( $false = sF2 )
| ( $false = sF1 )
| ( ( f4 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f134]) ).
thf(f309,plain,
( spl23_28
| spl23_26
| spl23_30 ),
inference(avatar_split_clause,[],[f143,f306,f288,f297]) ).
thf(f143,plain,
( ( $true = sF0 )
| ( ( f4 @ $false )
= $false )
| ( sF1 = $true ) ),
inference(binary_proxy_clausification,[],[f141]) ).
thf(f141,plain,
( ( ( f4 @ $false )
= sF1 )
| ( $true = sF0 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f304,plain,
( spl23_28
| spl23_24
| spl23_29 ),
inference(avatar_split_clause,[],[f142,f301,f279,f297]) ).
thf(f142,plain,
( ( $true = sF0 )
| ( ( f4 @ $false )
= $true )
| ( $false = sF1 ) ),
inference(binary_proxy_clausification,[],[f141]) ).
thf(f295,plain,
( spl23_26
| spl23_27
| spl23_25 ),
inference(avatar_split_clause,[],[f145,f283,f292,f288]) ).
thf(f145,plain,
( ( sF1 = $true )
| ( ( f4 @ $true )
= $false )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[],[f140]) ).
thf(f140,plain,
( ( ( f4 @ $true )
= sF1 )
| ( $false = sF0 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f286,plain,
( spl23_23
| spl23_24
| spl23_25 ),
inference(avatar_split_clause,[],[f144,f283,f279,f275]) ).
thf(f144,plain,
( ( $false = sF0 )
| ( $false = sF1 )
| ( ( f4 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f140]) ).
thf(f273,plain,
( spl23_20
| spl23_22
| spl23_16 ),
inference(avatar_split_clause,[],[f149,f238,f269,f259]) ).
thf(f149,plain,
( ( $true = sF3 )
| ( $true
= ( f3 @ $false ) )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[],[f147]) ).
thf(f147,plain,
( ( sF4
= ( f3 @ $false ) )
| ( $true = sF3 ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f272,plain,
( spl23_21
| spl23_15
| spl23_22 ),
inference(avatar_split_clause,[],[f148,f269,f233,f264]) ).
thf(f148,plain,
( ( $true = sF3 )
| ( sF4 = $true )
| ( $false
= ( f3 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f147]) ).
thf(f267,plain,
( spl23_19
| spl23_12
| spl23_21 ),
inference(avatar_split_clause,[],[f151,f264,f220,f255]) ).
thf(f151,plain,
( ( $false = sF3 )
| ( $false
= ( f3 @ $true ) )
| ( sF4 = $true ) ),
inference(binary_proxy_clausification,[],[f146]) ).
thf(f146,plain,
( ( $false = sF3 )
| ( ( f3 @ $true )
= sF4 ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f262,plain,
( spl23_10
| spl23_19
| spl23_20 ),
inference(avatar_split_clause,[],[f150,f259,f255,f211]) ).
thf(f150,plain,
( ( $false = sF4 )
| ( $false = sF3 )
| ( ( f3 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f146]) ).
thf(f253,plain,
( spl23_18
| spl23_1
| spl23_8 ),
inference(avatar_split_clause,[],[f155,f202,f171,f249]) ).
thf(f171,plain,
( spl23_1
<=> ( $false = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
thf(f155,plain,
( ( ( f0 @ $false )
= $true )
| ( sF8 = $true )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f153]) ).
thf(f153,plain,
( ( sF8 = $true )
| ( sF9
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f252,plain,
( spl23_18
| spl23_6
| spl23_7 ),
inference(avatar_split_clause,[],[f154,f197,f193,f249]) ).
thf(f193,plain,
( spl23_6
<=> ( sF9 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
thf(f154,plain,
( ( sF8 = $true )
| ( sF9 = $true )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f153]) ).
thf(f247,plain,
( spl23_2
| spl23_1
| spl23_17 ),
inference(avatar_split_clause,[],[f157,f243,f171,f175]) ).
thf(f157,plain,
( ( ( f0 @ $true )
= $true )
| ( sF8 = $false )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f152]) ).
thf(f152,plain,
( ( sF9
= ( f0 @ $true ) )
| ( sF8 = $false ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f246,plain,
( spl23_6
| spl23_17
| spl23_4 ),
inference(avatar_split_clause,[],[f156,f184,f243,f193]) ).
thf(f156,plain,
( ( sF9 = $true )
| ( $false
= ( f0 @ $true ) )
| ( sF8 = $false ) ),
inference(binary_proxy_clausification,[],[f152]) ).
thf(f241,plain,
( spl23_14
| spl23_11
| spl23_16 ),
inference(avatar_split_clause,[],[f161,f238,f215,f229]) ).
thf(f161,plain,
( ( sF16 = $true )
| ( $true
= ( f3 @ $false ) )
| ( $false = sF17 ) ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f159,plain,
( ( sF16 = $true )
| ( sF17
= ( f3 @ $false ) ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f236,plain,
( spl23_14
| spl23_13
| spl23_15 ),
inference(avatar_split_clause,[],[f160,f233,f224,f229]) ).
thf(f160,plain,
( ( $false
= ( f3 @ $false ) )
| ( sF17 = $true )
| ( sF16 = $true ) ),
inference(binary_proxy_clausification,[],[f159]) ).
thf(f227,plain,
( spl23_12
| spl23_9
| spl23_13 ),
inference(avatar_split_clause,[],[f163,f224,f207,f220]) ).
thf(f163,plain,
( ( $false
= ( f3 @ $true ) )
| ( sF17 = $true )
| ( $false = sF16 ) ),
inference(binary_proxy_clausification,[],[f158]) ).
thf(f158,plain,
( ( $false = sF16 )
| ( ( f3 @ $true )
= sF17 ) ),
inference(cases_simplifying,[],[f23]) ).
thf(f218,plain,
( spl23_9
| spl23_10
| spl23_11 ),
inference(avatar_split_clause,[],[f162,f215,f211,f207]) ).
thf(f162,plain,
( ( $false = sF16 )
| ( $false = sF17 )
| ( ( f3 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f158]) ).
thf(f205,plain,
( spl23_6
| spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f167,f179,f202,f193]) ).
thf(f167,plain,
( ( $false = sF10 )
| ( ( f0 @ $false )
= $true )
| ( sF9 = $true ) ),
inference(binary_proxy_clausification,[],[f165]) ).
thf(f165,plain,
( ( sF9 = $true )
| ( sF10
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f200,plain,
( spl23_6
| spl23_7
| spl23_5 ),
inference(avatar_split_clause,[],[f166,f188,f197,f193]) ).
thf(f166,plain,
( ( sF10 = $true )
| ( sF9 = $true )
| ( $false
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f165]) ).
thf(f191,plain,
( spl23_4
| spl23_5
| spl23_1 ),
inference(avatar_split_clause,[],[f169,f171,f188,f184]) ).
thf(f169,plain,
( ( $false
= ( f0 @ $true ) )
| ( sF10 = $true )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f164]) ).
thf(f164,plain,
( ( ( f0 @ $true )
= sF10 )
| ( $false = sF9 ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f182,plain,
( spl23_1
| spl23_2
| spl23_3 ),
inference(avatar_split_clause,[],[f168,f179,f175,f171]) ).
thf(f168,plain,
( ( $false = sF9 )
| ( $false = sF10 )
| ( ( f0 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO500^1.006 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14 % 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:21:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.13/0.37 % (22356)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)
% 0.13/0.37 % (22357)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37 % (22358)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)
% 0.13/0.37 % (22351)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37 % (22358)Refutation not found, incomplete strategy
% 0.13/0.37 % (22358)------------------------------
% 0.13/0.37 % (22358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22358)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (22358)Memory used [KB]: 5500
% 0.13/0.37 % (22358)Time elapsed: 0.003 s
% 0.13/0.37 % (22358)Instructions burned: 2 (million)
% 0.13/0.37 % (22358)------------------------------
% 0.13/0.37 % (22358)------------------------------
% 0.13/0.37 % (22356)Refutation not found, incomplete strategy
% 0.13/0.37 % (22356)------------------------------
% 0.13/0.37 % (22356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22356)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (22356)Memory used [KB]: 5500
% 0.13/0.37 % (22353)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)
% 0.13/0.37 % (22356)Time elapsed: 0.003 s
% 0.13/0.37 % (22356)Instructions burned: 2 (million)
% 0.13/0.37 % (22356)------------------------------
% 0.13/0.37 % (22356)------------------------------
% 0.13/0.37 % (22354)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37 % (22354)Instruction limit reached!
% 0.13/0.37 % (22354)------------------------------
% 0.13/0.37 % (22354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22354)Termination reason: Unknown
% 0.13/0.37 % (22354)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22354)Memory used [KB]: 5500
% 0.13/0.37 % (22354)Time elapsed: 0.004 s
% 0.13/0.37 % (22354)Instructions burned: 2 (million)
% 0.13/0.37 % (22354)------------------------------
% 0.13/0.37 % (22354)------------------------------
% 0.13/0.37 % (22353)Refutation not found, incomplete strategy
% 0.13/0.37 % (22353)------------------------------
% 0.13/0.37 % (22353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22353)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (22353)Memory used [KB]: 5500
% 0.13/0.37 % (22353)Time elapsed: 0.004 s
% 0.13/0.37 % (22353)Instructions burned: 2 (million)
% 0.13/0.37 % (22353)------------------------------
% 0.13/0.37 % (22353)------------------------------
% 0.13/0.37 % (22355)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)
% 0.13/0.37 % (22355)Instruction limit reached!
% 0.13/0.37 % (22355)------------------------------
% 0.13/0.37 % (22355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22355)Termination reason: Unknown
% 0.13/0.37 % (22355)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22355)Memory used [KB]: 5500
% 0.13/0.37 % (22355)Time elapsed: 0.003 s
% 0.13/0.37 % (22355)Instructions burned: 2 (million)
% 0.13/0.37 % (22355)------------------------------
% 0.13/0.37 % (22355)------------------------------
% 0.13/0.37 % (22357)Instruction limit reached!
% 0.13/0.37 % (22357)------------------------------
% 0.13/0.37 % (22357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (22357)Termination reason: Unknown
% 0.13/0.37 % (22357)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (22357)Memory used [KB]: 5628
% 0.13/0.37 % (22357)Time elapsed: 0.011 s
% 0.13/0.37 % (22357)Instructions burned: 18 (million)
% 0.13/0.37 % (22357)------------------------------
% 0.13/0.37 % (22357)------------------------------
% 0.13/0.38 % (22352)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)
% 0.13/0.38 % (22360)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)
% 0.13/0.38 % (22361)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)
% 0.13/0.38 % (22352)Instruction limit reached!
% 0.13/0.38 % (22352)------------------------------
% 0.13/0.38 % (22352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22352)Termination reason: Unknown
% 0.13/0.38 % (22352)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22352)Memory used [KB]: 5500
% 0.13/0.38 % (22352)Time elapsed: 0.005 s
% 0.13/0.38 % (22352)Instructions burned: 5 (million)
% 0.13/0.38 % (22352)------------------------------
% 0.13/0.38 % (22352)------------------------------
% 0.13/0.38 % (22361)Refutation not found, incomplete strategy
% 0.13/0.38 % (22361)------------------------------
% 0.13/0.38 % (22361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22361)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (22361)Memory used [KB]: 5500
% 0.13/0.38 % (22361)Time elapsed: 0.003 s
% 0.13/0.38 % (22361)Instructions burned: 1 (million)
% 0.13/0.38 % (22361)------------------------------
% 0.13/0.38 % (22361)------------------------------
% 0.13/0.38 % (22362)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)
% 0.13/0.38 % (22359)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)
% 0.13/0.39 % (22364)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (22360)Instruction limit reached!
% 0.13/0.39 % (22360)------------------------------
% 0.13/0.39 % (22360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22360)Termination reason: Unknown
% 0.13/0.39 % (22360)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22360)Memory used [KB]: 5884
% 0.13/0.39 % (22360)Time elapsed: 0.009 s
% 0.13/0.39 % (22360)Instructions burned: 15 (million)
% 0.13/0.39 % (22360)------------------------------
% 0.13/0.39 % (22360)------------------------------
% 0.13/0.39 % (22362)Refutation not found, incomplete strategy
% 0.13/0.39 % (22362)------------------------------
% 0.13/0.39 % (22362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22362)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (22362)Memory used [KB]: 5500
% 0.13/0.39 % (22362)Time elapsed: 0.006 s
% 0.13/0.39 % (22362)Instructions burned: 6 (million)
% 0.13/0.39 % (22362)------------------------------
% 0.13/0.39 % (22362)------------------------------
% 0.13/0.39 % (22363)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (22364)First to succeed.
% 0.13/0.40 % (22363)Instruction limit reached!
% 0.13/0.40 % (22363)------------------------------
% 0.13/0.40 % (22363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (22363)Termination reason: Unknown
% 0.13/0.40 % (22363)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (22363)Memory used [KB]: 1023
% 0.13/0.40 % (22363)Time elapsed: 0.006 s
% 0.13/0.40 % (22363)Instructions burned: 9 (million)
% 0.13/0.40 % (22363)------------------------------
% 0.13/0.40 % (22363)------------------------------
% 0.13/0.40 % (22365)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)
% 0.13/0.40 % (22364)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (22364)------------------------------
% 0.13/0.40 % (22364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (22364)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (22364)Memory used [KB]: 5756
% 0.13/0.40 % (22364)Time elapsed: 0.011 s
% 0.13/0.40 % (22364)Instructions burned: 9 (million)
% 0.13/0.40 % (22364)------------------------------
% 0.13/0.40 % (22364)------------------------------
% 0.13/0.40 % (22350)Success in time 0.039 s
% 0.13/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------