TSTP Solution File: SYO500^1.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO500^1.003 : 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 : n016.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 09:05:28 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 71
% Syntax : Number of formulae : 191 ( 19 unt; 3 typ; 0 def)
% Number of atoms : 1188 ( 288 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 466 ( 42 ~; 238 |; 0 &; 149 @)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 52 usr; 51 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(f299,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f107,f116,f121,f126,f139,f148,f157,f162,f171,f176,f181,f182,f187,f192,f193,f194,f195,f196,f197,f198,f203,f208,f217,f222,f231,f236,f241,f242,f247,f248,f253,f254,f259,f260,f265,f266,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298]) ).
thf(f298,plain,
( ( sF5 != $false )
| ( sF5 != $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f297,plain,
( ( x != $true )
| ( x != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f296,plain,
( ( $true != sF2 )
| ( sF2 != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f295,plain,
( ( $true != sF1 )
| ( sF1 != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f294,plain,
( ( $true != sF0 )
| ( $false != sF0 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f293,plain,
( ( ( f2 @ $false )
!= $false )
| ( ( f2 @ $false )
!= $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f292,plain,
( ( ( f2 @ $true )
!= $false )
| ( $true
!= ( f2 @ $true ) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f291,plain,
( ( $true != sF9 )
| ( $false != sF9 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f290,plain,
( ( sF6 != $true )
| ( sF6 != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f289,plain,
( ( $true != sF7 )
| ( $false != sF7 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f288,plain,
( ( $false != sF8 )
| ( $true != sF8 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f287,plain,
( ( $false != sF4 )
| ( $true != sF4 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f286,plain,
( ( sF10 != $true )
| ( sF10 != $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f285,plain,
( ( $false
!= ( f1 @ $false ) )
| ( $true
!= ( f1 @ $false ) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f284,plain,
( ( sF3 != $false )
| ( $true != sF3 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f283,plain,
( ( ( f1 @ $true )
!= $false )
| ( ( f1 @ $true )
!= $true )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f282,plain,
( ( ( f0 @ $false )
!= $false )
| ( $true
!= ( f0 @ $false ) )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f281,plain,
( ( $true
!= ( f0 @ $true ) )
| ( ( f0 @ $true )
!= $false )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
thf(f280,plain,
( spl11_8
| spl11_14
| spl11_24 ),
inference(avatar_split_clause,[],[f21,f200,f145,f118]) ).
thf(f118,plain,
( spl11_8
<=> ( ( f0 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
thf(f145,plain,
( spl11_14
<=> ( $true = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
thf(f200,plain,
( spl11_24
<=> ( $true = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
thf(f21,plain,
( ( $true = sF3 )
| ( $true = sF4 )
| ( ( f0 @ $false )
= $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( ( f0 @ $false )
= sF4 )
| ( $true = sF3 ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f10,plain,
( ( f0 @ sF3 )
= sF4 ),
introduced(function_definition,[]) ).
thf(f279,plain,
( spl11_14
| spl11_7
| spl11_25 ),
inference(avatar_split_clause,[],[f20,f205,f113,f145]) ).
thf(f113,plain,
( spl11_7
<=> ( $true
= ( f0 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f205,plain,
( spl11_25
<=> ( $false = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
thf(f20,plain,
( ( $true
= ( f0 @ $false ) )
| ( $true = sF3 )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f278,plain,
( spl11_10
| spl11_5
| spl11_24 ),
inference(avatar_split_clause,[],[f23,f200,f104,f128]) ).
thf(f128,plain,
( spl11_10
<=> ( sF3 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
thf(f104,plain,
( spl11_5
<=> ( ( f0 @ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f23,plain,
( ( $true = sF4 )
| ( ( f0 @ $true )
= $false )
| ( sF3 = $false ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( ( sF3 = $false )
| ( ( f0 @ $true )
= sF4 ) ),
inference(cases_simplifying,[],[f10]) ).
thf(f277,plain,
( spl11_2
| spl11_25
| spl11_10 ),
inference(avatar_split_clause,[],[f22,f128,f205,f91]) ).
thf(f91,plain,
( spl11_2
<=> ( $true
= ( f0 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f22,plain,
( ( sF3 = $false )
| ( $true
= ( f0 @ $true ) )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f276,plain,
( spl11_33
| spl11_17
| spl11_34 ),
inference(avatar_split_clause,[],[f27,f250,f159,f244]) ).
thf(f244,plain,
( spl11_33
<=> ( $true = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
thf(f159,plain,
( spl11_17
<=> ( $true
= ( f1 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
thf(f250,plain,
( spl11_34
<=> ( sF1 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
thf(f27,plain,
( ( $true = sF0 )
| ( $true
= ( f1 @ $false ) )
| ( sF1 = $false ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( sF1
= ( f1 @ $false ) )
| ( $true = sF0 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f7,plain,
( ( f1 @ sF0 )
= sF1 ),
introduced(function_definition,[]) ).
thf(f275,plain,
( spl11_33
| spl11_15
| spl11_35 ),
inference(avatar_split_clause,[],[f26,f256,f150,f244]) ).
thf(f150,plain,
( spl11_15
<=> ( $false
= ( f1 @ $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
thf(f256,plain,
( spl11_35
<=> ( $true = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
thf(f26,plain,
( ( $false
= ( f1 @ $false ) )
| ( $true = sF0 )
| ( $true = sF1 ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f274,plain,
( spl11_32
| spl11_13
| spl11_35 ),
inference(avatar_split_clause,[],[f29,f256,f141,f238]) ).
thf(f238,plain,
( spl11_32
<=> ( $false = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
thf(f141,plain,
( spl11_13
<=> ( ( f1 @ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
thf(f29,plain,
( ( $true = sF1 )
| ( ( f1 @ $true )
= $false )
| ( $false = sF0 ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
( ( ( f1 @ $true )
= sF1 )
| ( $false = sF0 ) ),
inference(cases_simplifying,[],[f7]) ).
thf(f273,plain,
( spl11_12
| spl11_32
| spl11_34 ),
inference(avatar_split_clause,[],[f28,f250,f238,f136]) ).
thf(f136,plain,
( spl11_12
<=> ( ( f1 @ $true )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
thf(f28,plain,
( ( $false = sF0 )
| ( ( f1 @ $true )
= $true )
| ( sF1 = $false ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f272,plain,
( spl11_31
| spl11_33
| spl11_37 ),
inference(avatar_split_clause,[],[f33,f268,f244,f233]) ).
thf(f233,plain,
( spl11_31
<=> ( ( f2 @ $false )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
thf(f268,plain,
( spl11_37
<=> ( x = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
thf(f33,plain,
( ( ( f2 @ $false )
= $false )
| ( x = $true )
| ( $true = sF0 ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( f2 @ $false )
= sF0 )
| ( x = $true ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f6,plain,
( ( f2 @ x )
= sF0 ),
introduced(function_definition,[]) ).
thf(f271,plain,
( spl11_32
| spl11_37
| spl11_29 ),
inference(avatar_split_clause,[],[f32,f224,f268,f238]) ).
thf(f224,plain,
( spl11_29
<=> ( ( f2 @ $false )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
thf(f32,plain,
( ( $false = sF0 )
| ( ( f2 @ $false )
= $true )
| ( x = $true ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f266,plain,
( spl11_36
| spl11_33
| spl11_27 ),
inference(avatar_split_clause,[],[f35,f214,f244,f262]) ).
thf(f262,plain,
( spl11_36
<=> ( x = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
thf(f214,plain,
( spl11_27
<=> ( ( f2 @ $true )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
thf(f35,plain,
( ( ( f2 @ $true )
= $false )
| ( x = $false )
| ( $true = sF0 ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( f2 @ $true )
= sF0 )
| ( x = $false ) ),
inference(cases_simplifying,[],[f6]) ).
thf(f265,plain,
( spl11_28
| spl11_36
| spl11_32 ),
inference(avatar_split_clause,[],[f34,f238,f262,f219]) ).
thf(f219,plain,
( spl11_28
<=> ( $true
= ( f2 @ $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
thf(f34,plain,
( ( $true
= ( f2 @ $true ) )
| ( $false = sF0 )
| ( x = $false ) ),
inference(binary_proxy_clausification,[],[f30]) ).
thf(f260,plain,
( spl11_35
| spl11_11
| spl11_17 ),
inference(avatar_split_clause,[],[f39,f159,f132,f256]) ).
thf(f132,plain,
( spl11_11
<=> ( sF2 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
thf(f39,plain,
( ( $true
= ( f1 @ $false ) )
| ( sF2 = $false )
| ( $true = sF1 ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( sF2
= ( f1 @ $false ) )
| ( $true = sF1 ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f8,plain,
( sF2
= ( f1 @ sF1 ) ),
introduced(function_definition,[]) ).
thf(f259,plain,
( spl11_35
| spl11_16
| spl11_15 ),
inference(avatar_split_clause,[],[f38,f150,f154,f256]) ).
thf(f154,plain,
( spl11_16
<=> ( $true = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
thf(f38,plain,
( ( $true = sF2 )
| ( $true = sF1 )
| ( $false
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f254,plain,
( spl11_13
| spl11_16
| spl11_34 ),
inference(avatar_split_clause,[],[f41,f250,f154,f141]) ).
thf(f41,plain,
( ( sF1 = $false )
| ( $true = sF2 )
| ( ( f1 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( ( f1 @ $true )
= sF2 )
| ( sF1 = $false ) ),
inference(cases_simplifying,[],[f8]) ).
thf(f253,plain,
( spl11_34
| spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f40,f136,f132,f250]) ).
thf(f40,plain,
( ( sF2 = $false )
| ( sF1 = $false )
| ( ( f1 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f248,plain,
( spl11_30
| spl11_31
| spl11_33 ),
inference(avatar_split_clause,[],[f45,f244,f233,f228]) ).
thf(f228,plain,
( spl11_30
<=> ( sF5 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
thf(f45,plain,
( ( $true = sF0 )
| ( ( f2 @ $false )
= $false )
| ( sF5 = $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f43,plain,
( ( ( f2 @ $false )
= sF5 )
| ( $true = sF0 ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f11,plain,
( sF5
= ( f2 @ sF0 ) ),
introduced(function_definition,[]) ).
thf(f247,plain,
( spl11_33
| spl11_26
| spl11_29 ),
inference(avatar_split_clause,[],[f44,f224,f210,f244]) ).
thf(f210,plain,
( spl11_26
<=> ( sF5 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
thf(f44,plain,
( ( sF5 = $false )
| ( $true = sF0 )
| ( ( f2 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f43]) ).
thf(f242,plain,
( spl11_32
| spl11_28
| spl11_26 ),
inference(avatar_split_clause,[],[f47,f210,f219,f238]) ).
thf(f47,plain,
( ( $true
= ( f2 @ $true ) )
| ( $false = sF0 )
| ( sF5 = $false ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f42,plain,
( ( sF5
= ( f2 @ $true ) )
| ( $false = sF0 ) ),
inference(cases_simplifying,[],[f11]) ).
thf(f241,plain,
( spl11_30
| spl11_32
| spl11_27 ),
inference(avatar_split_clause,[],[f46,f214,f238,f228]) ).
thf(f46,plain,
( ( $false = sF0 )
| ( sF5 = $true )
| ( ( f2 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f42]) ).
thf(f236,plain,
( spl11_31
| spl11_21
| spl11_30 ),
inference(avatar_split_clause,[],[f51,f228,f178,f233]) ).
thf(f178,plain,
( spl11_21
<=> ( sF6 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
thf(f51,plain,
( ( ( f2 @ $false )
= $false )
| ( sF5 = $true )
| ( sF6 = $true ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f49,plain,
( ( sF5 = $true )
| ( ( f2 @ $false )
= sF6 ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f12,plain,
( sF6
= ( f2 @ sF5 ) ),
introduced(function_definition,[]) ).
thf(f231,plain,
( spl11_18
| spl11_29
| spl11_30 ),
inference(avatar_split_clause,[],[f50,f228,f224,f164]) ).
thf(f164,plain,
( spl11_18
<=> ( sF6 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
thf(f50,plain,
( ( sF6 = $false )
| ( sF5 = $true )
| ( ( f2 @ $false )
= $true ) ),
inference(binary_proxy_clausification,[],[f49]) ).
thf(f222,plain,
( spl11_28
| spl11_26
| spl11_18 ),
inference(avatar_split_clause,[],[f53,f164,f210,f219]) ).
thf(f53,plain,
( ( $true
= ( f2 @ $true ) )
| ( sF5 = $false )
| ( sF6 = $false ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
( ( sF6
= ( f2 @ $true ) )
| ( sF5 = $false ) ),
inference(cases_simplifying,[],[f12]) ).
thf(f217,plain,
( spl11_21
| spl11_26
| spl11_27 ),
inference(avatar_split_clause,[],[f52,f214,f210,f178]) ).
thf(f52,plain,
( ( sF6 = $true )
| ( sF5 = $false )
| ( ( f2 @ $true )
= $false ) ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f208,plain,
( spl11_25
| spl11_23 ),
inference(avatar_split_clause,[],[f55,f189,f205]) ).
thf(f189,plain,
( spl11_23
<=> ( sF10 = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
thf(f55,plain,
( ( sF10 = $false )
| ( $false = sF4 ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
sF10 != sF4,
inference(definition_folding,[],[f5,f16,f15,f14,f13,f12,f11,f6,f10,f9,f8,f7,f6]) ).
thf(f9,plain,
( ( f1 @ sF2 )
= sF3 ),
introduced(function_definition,[]) ).
thf(f13,plain,
( ( f1 @ sF6 )
= sF7 ),
introduced(function_definition,[]) ).
thf(f14,plain,
( ( f0 @ sF7 )
= sF8 ),
introduced(function_definition,[]) ).
thf(f15,plain,
( ( f0 @ sF8 )
= sF9 ),
introduced(function_definition,[]) ).
thf(f16,plain,
( ( f0 @ sF9 )
= sF10 ),
introduced(function_definition,[]) ).
thf(f5,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
inference(flattening,[],[f2]) ).
thf(f2,negated_conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
!= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
= ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski3) ).
thf(f203,plain,
( spl11_22
| spl11_24 ),
inference(avatar_split_clause,[],[f54,f200,f184]) ).
thf(f184,plain,
( spl11_22
<=> ( sF10 = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
thf(f54,plain,
( ( sF10 = $true )
| ( $true = sF4 ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f198,plain,
( spl11_6
| spl11_8
| spl11_20 ),
inference(avatar_split_clause,[],[f59,f173,f118,f109]) ).
thf(f109,plain,
( spl11_6
<=> ( $true = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f173,plain,
( spl11_20
<=> ( $true = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
thf(f59,plain,
( ( ( f0 @ $false )
= $false )
| ( $true = sF7 )
| ( $true = sF8 ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( $true = sF7 )
| ( ( f0 @ $false )
= sF8 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f197,plain,
( spl11_20
| spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f58,f113,f87,f173]) ).
thf(f87,plain,
( spl11_1
<=> ( $false = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f58,plain,
( ( $false = sF8 )
| ( $true = sF7 )
| ( $true
= ( f0 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f196,plain,
( spl11_6
| spl11_19
| spl11_5 ),
inference(avatar_split_clause,[],[f61,f104,f168,f109]) ).
thf(f168,plain,
( spl11_19
<=> ( $false = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
thf(f61,plain,
( ( $false = sF7 )
| ( ( f0 @ $true )
= $false )
| ( $true = sF8 ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( ( ( f0 @ $true )
= sF8 )
| ( $false = sF7 ) ),
inference(cases_simplifying,[],[f14]) ).
thf(f195,plain,
( spl11_1
| spl11_19
| spl11_2 ),
inference(avatar_split_clause,[],[f60,f91,f168,f87]) ).
thf(f60,plain,
( ( $false = sF7 )
| ( $true
= ( f0 @ $true ) )
| ( $false = sF8 ) ),
inference(binary_proxy_clausification,[],[f56]) ).
thf(f194,plain,
( spl11_7
| spl11_23
| spl11_4 ),
inference(avatar_split_clause,[],[f65,f100,f189,f113]) ).
thf(f100,plain,
( spl11_4
<=> ( $true = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f65,plain,
( ( sF10 = $false )
| ( $true
= ( f0 @ $false ) )
| ( $true = sF9 ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f63,plain,
( ( $true = sF9 )
| ( sF10
= ( f0 @ $false ) ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f193,plain,
( spl11_4
| spl11_22
| spl11_8 ),
inference(avatar_split_clause,[],[f64,f118,f184,f100]) ).
thf(f64,plain,
( ( sF10 = $true )
| ( ( f0 @ $false )
= $false )
| ( $true = sF9 ) ),
inference(binary_proxy_clausification,[],[f63]) ).
thf(f192,plain,
( spl11_3
| spl11_23
| spl11_2 ),
inference(avatar_split_clause,[],[f67,f91,f189,f95]) ).
thf(f95,plain,
( spl11_3
<=> ( $false = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f67,plain,
( ( $false = sF9 )
| ( $true
= ( f0 @ $true ) )
| ( sF10 = $false ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f62,plain,
( ( sF10
= ( f0 @ $true ) )
| ( $false = sF9 ) ),
inference(cases_simplifying,[],[f16]) ).
thf(f187,plain,
( spl11_22
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f66,f95,f104,f184]) ).
thf(f66,plain,
( ( $false = sF9 )
| ( ( f0 @ $true )
= $false )
| ( sF10 = $true ) ),
inference(binary_proxy_clausification,[],[f62]) ).
thf(f182,plain,
( spl11_15
| spl11_20
| spl11_21 ),
inference(avatar_split_clause,[],[f71,f178,f173,f150]) ).
thf(f71,plain,
( ( $false
= ( f1 @ $false ) )
| ( sF6 = $true )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f69,plain,
( ( sF6 = $true )
| ( ( f1 @ $false )
= sF7 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f181,plain,
( spl11_17
| spl11_21
| spl11_19 ),
inference(avatar_split_clause,[],[f70,f168,f178,f159]) ).
thf(f70,plain,
( ( $false = sF7 )
| ( sF6 = $true )
| ( $true
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f69]) ).
thf(f176,plain,
( spl11_13
| spl11_18
| spl11_20 ),
inference(avatar_split_clause,[],[f73,f173,f164,f141]) ).
thf(f73,plain,
( ( ( f1 @ $true )
= $false )
| ( sF6 = $false )
| ( $true = sF7 ) ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f68,plain,
( ( sF6 = $false )
| ( ( f1 @ $true )
= sF7 ) ),
inference(cases_simplifying,[],[f13]) ).
thf(f171,plain,
( spl11_18
| spl11_19
| spl11_12 ),
inference(avatar_split_clause,[],[f72,f136,f168,f164]) ).
thf(f72,plain,
( ( $false = sF7 )
| ( sF6 = $false )
| ( ( f1 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f68]) ).
thf(f162,plain,
( spl11_10
| spl11_16
| spl11_17 ),
inference(avatar_split_clause,[],[f77,f159,f154,f128]) ).
thf(f77,plain,
( ( sF3 = $false )
| ( $true = sF2 )
| ( $true
= ( f1 @ $false ) ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f75,plain,
( ( sF3
= ( f1 @ $false ) )
| ( $true = sF2 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f157,plain,
( spl11_15
| spl11_14
| spl11_16 ),
inference(avatar_split_clause,[],[f76,f154,f145,f150]) ).
thf(f76,plain,
( ( $false
= ( f1 @ $false ) )
| ( $true = sF3 )
| ( $true = sF2 ) ),
inference(binary_proxy_clausification,[],[f75]) ).
thf(f148,plain,
( spl11_13
| spl11_14
| spl11_11 ),
inference(avatar_split_clause,[],[f79,f132,f145,f141]) ).
thf(f79,plain,
( ( ( f1 @ $true )
= $false )
| ( sF2 = $false )
| ( $true = sF3 ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f74,plain,
( ( sF2 = $false )
| ( ( f1 @ $true )
= sF3 ) ),
inference(cases_simplifying,[],[f9]) ).
thf(f139,plain,
( spl11_10
| spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f78,f136,f132,f128]) ).
thf(f78,plain,
( ( sF3 = $false )
| ( sF2 = $false )
| ( ( f1 @ $true )
= $true ) ),
inference(binary_proxy_clausification,[],[f74]) ).
thf(f126,plain,
~ spl11_9,
inference(avatar_split_clause,[],[f3,f123]) ).
thf(f123,plain,
( spl11_9
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
thf(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
thf(f121,plain,
( spl11_8
| spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f83,f109,f100,f118]) ).
thf(f83,plain,
( ( $true = sF9 )
| ( ( f0 @ $false )
= $false )
| ( $true = sF8 ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f81,plain,
( ( ( f0 @ $false )
= sF9 )
| ( $true = sF8 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f116,plain,
( spl11_6
| spl11_3
| spl11_7 ),
inference(avatar_split_clause,[],[f82,f113,f95,f109]) ).
thf(f82,plain,
( ( $true = sF8 )
| ( $true
= ( f0 @ $false ) )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f81]) ).
thf(f107,plain,
( spl11_4
| spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f85,f87,f104,f100]) ).
thf(f85,plain,
( ( ( f0 @ $true )
= $false )
| ( $false = sF8 )
| ( $true = sF9 ) ),
inference(binary_proxy_clausification,[],[f80]) ).
thf(f80,plain,
( ( ( f0 @ $true )
= sF9 )
| ( $false = sF8 ) ),
inference(cases_simplifying,[],[f15]) ).
thf(f98,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f84,f95,f91,f87]) ).
thf(f84,plain,
( ( $true
= ( f0 @ $true ) )
| ( $false = sF8 )
| ( $false = sF9 ) ),
inference(binary_proxy_clausification,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO500^1.003 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.10 % 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
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 08:39:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TH0_THM_EQU_NAR problem
% 0.10/0.31 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
% 0.15/0.32 % (22395)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)
% 0.15/0.32 % (22394)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.32 % (22396)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)
% 0.15/0.32 % (22397)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.32 % (22400)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.32 % (22398)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)
% 0.15/0.32 % (22399)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)
% 0.15/0.32 % (22401)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)
% 0.15/0.32 % (22397)Refutation not found, incomplete strategy
% 0.15/0.32 % (22397)------------------------------
% 0.15/0.32 % (22397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (22398)Refutation not found, incomplete strategy
% 0.15/0.32 % (22398)------------------------------
% 0.15/0.32 % (22398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (22398)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (22398)Memory used [KB]: 5500
% 0.15/0.32 % (22398)Time elapsed: 0.002 s
% 0.15/0.32 % (22398)Instructions burned: 1 (million)
% 0.15/0.32 % (22398)------------------------------
% 0.15/0.32 % (22398)------------------------------
% 0.15/0.32 % (22397)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (22399)Refutation not found, incomplete strategy
% 0.15/0.32 % (22399)------------------------------
% 0.15/0.32 % (22399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (22397)Memory used [KB]: 5500
% 0.15/0.32 % (22397)Time elapsed: 0.003 s
% 0.15/0.32 % (22397)Instructions burned: 1 (million)
% 0.15/0.32 % (22397)------------------------------
% 0.15/0.32 % (22397)------------------------------
% 0.15/0.32 % (22396)Refutation not found, incomplete strategy
% 0.15/0.32 % (22396)------------------------------
% 0.15/0.32 % (22396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (22396)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (22396)Memory used [KB]: 5500
% 0.15/0.32 % (22396)Time elapsed: 0.003 s
% 0.15/0.32 % (22396)Instructions burned: 2 (million)
% 0.15/0.32 % (22396)------------------------------
% 0.15/0.32 % (22396)------------------------------
% 0.15/0.32 % (22399)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (22399)Memory used [KB]: 5500
% 0.15/0.32 % (22399)Time elapsed: 0.003 s
% 0.15/0.32 % (22399)Instructions burned: 1 (million)
% 0.15/0.32 % (22399)------------------------------
% 0.15/0.32 % (22399)------------------------------
% 0.15/0.32 % (22401)Refutation not found, incomplete strategy
% 0.15/0.32 % (22401)------------------------------
% 0.15/0.32 % (22401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (22401)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.32
% 0.15/0.32
% 0.15/0.32 % (22401)Memory used [KB]: 5500
% 0.15/0.33 % (22401)Time elapsed: 0.003 s
% 0.15/0.33 % (22401)Instructions burned: 1 (million)
% 0.15/0.33 % (22401)------------------------------
% 0.15/0.33 % (22401)------------------------------
% 0.15/0.33 % (22395)Instruction limit reached!
% 0.15/0.33 % (22395)------------------------------
% 0.15/0.33 % (22395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (22395)Termination reason: Unknown
% 0.15/0.33 % (22395)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (22395)Memory used [KB]: 5500
% 0.15/0.33 % (22395)Time elapsed: 0.004 s
% 0.15/0.33 % (22395)Instructions burned: 4 (million)
% 0.15/0.33 % (22395)------------------------------
% 0.15/0.33 % (22395)------------------------------
% 0.15/0.33 % (22400)Instruction limit reached!
% 0.15/0.33 % (22400)------------------------------
% 0.15/0.33 % (22400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (22400)Termination reason: Unknown
% 0.15/0.33 % (22400)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (22400)Memory used [KB]: 5628
% 0.15/0.33 % (22400)Time elapsed: 0.012 s
% 0.15/0.33 % (22400)Instructions burned: 19 (million)
% 0.15/0.33 % (22400)------------------------------
% 0.15/0.33 % (22400)------------------------------
% 0.15/0.34 % (22404)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)
% 0.15/0.34 % (22406)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.34 % (22402)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)
% 0.15/0.34 % (22403)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)
% 0.15/0.34 % (22405)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)
% 0.15/0.34 % (22407)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.34 % (22404)Refutation not found, incomplete strategy
% 0.15/0.34 % (22404)------------------------------
% 0.15/0.34 % (22404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (22404)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34
% 0.15/0.34 % (22404)Memory used [KB]: 5373
% 0.15/0.34 % (22404)Time elapsed: 0.002 s
% 0.15/0.34 % (22404)Instructions burned: 1 (million)
% 0.15/0.34 % (22404)------------------------------
% 0.15/0.34 % (22404)------------------------------
% 0.15/0.34 % (22407)First to succeed.
% 0.15/0.34 % (22405)Refutation not found, incomplete strategy
% 0.15/0.34 % (22405)------------------------------
% 0.15/0.34 % (22405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (22405)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34
% 0.15/0.34 % (22405)Memory used [KB]: 5500
% 0.15/0.34 % (22405)Time elapsed: 0.004 s
% 0.15/0.34 % (22405)Instructions burned: 4 (million)
% 0.15/0.34 % (22405)------------------------------
% 0.15/0.34 % (22405)------------------------------
% 0.15/0.34 % (22406)Instruction limit reached!
% 0.15/0.34 % (22406)------------------------------
% 0.15/0.34 % (22406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (22406)Termination reason: Unknown
% 0.15/0.34 % (22406)Termination phase: Saturation
% 0.15/0.34
% 0.15/0.34 % (22406)Memory used [KB]: 1023
% 0.15/0.34 % (22406)Time elapsed: 0.005 s
% 0.15/0.34 % (22406)Instructions burned: 7 (million)
% 0.15/0.34 % (22406)------------------------------
% 0.15/0.34 % (22406)------------------------------
% 0.15/0.34 % (22407)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35 % (22407)------------------------------
% 0.15/0.35 % (22407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (22407)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (22407)Memory used [KB]: 5628
% 0.15/0.35 % (22407)Time elapsed: 0.006 s
% 0.15/0.35 % (22407)Instructions burned: 5 (million)
% 0.15/0.35 % (22407)------------------------------
% 0.15/0.35 % (22407)------------------------------
% 0.15/0.35 % (22393)Success in time 0.031 s
% 0.15/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------