TSTP Solution File: KLE093+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE093+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Mon May 20 23:15:29 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 102
% Syntax : Number of formulae : 330 ( 71 unt; 0 def)
% Number of atoms : 823 ( 169 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 909 ( 416 ~; 409 |; 1 &)
% ( 80 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 82 ( 80 usr; 80 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 442 ( 440 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2376,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f72,f76,f80,f84,f88,f92,f96,f101,f113,f117,f121,f132,f136,f148,f152,f177,f181,f185,f189,f239,f243,f247,f251,f351,f356,f361,f384,f388,f392,f396,f400,f433,f439,f460,f464,f468,f472,f476,f514,f525,f529,f584,f588,f593,f597,f617,f621,f625,f629,f633,f637,f641,f879,f1188,f1192,f1196,f1223,f1393,f1397,f1401,f1405,f1409,f1413,f1417,f1671,f1675,f1679,f1685,f1992,f1997,f2001,f2005,f2009,f2013,f2017,f2189,f2193,f2360]) ).
fof(f2360,plain,
( spl1_1
| ~ spl1_76 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2359,plain,
( $false
| spl1_1
| ~ spl1_76 ),
inference(trivial_inequality_removal,[],[f2340]) ).
fof(f2340,plain,
( one != one
| spl1_1
| ~ spl1_76 ),
inference(superposition,[],[f62,f2012]) ).
fof(f2012,plain,
( ! [X0] : one = domain(star(X0))
| ~ spl1_76 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2011,plain,
( spl1_76
<=> ! [X0] : one = domain(star(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_76])]) ).
fof(f62,plain,
( one != domain(star(sK0))
| spl1_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl1_1
<=> one = domain(star(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f2193,plain,
( spl1_79
| ~ spl1_12
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f300,f241,f115,f2191]) ).
fof(f2191,plain,
( spl1_79
<=> ! [X2,X0,X1] :
( multiplication(X2,X1) != multiplication(addition(X0,X2),X1)
| leq(multiplication(X0,X1),multiplication(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_79])]) ).
fof(f115,plain,
( spl1_12
<=> ! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
fof(f241,plain,
( spl1_23
<=> ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f300,plain,
( ! [X2,X0,X1] :
( multiplication(X2,X1) != multiplication(addition(X0,X2),X1)
| leq(multiplication(X0,X1),multiplication(X2,X1)) )
| ~ spl1_12
| ~ spl1_23 ),
inference(superposition,[],[f116,f242]) ).
fof(f242,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f116,plain,
( ! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f2189,plain,
( spl1_78
| ~ spl1_12
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f267,f237,f115,f2187]) ).
fof(f2187,plain,
( spl1_78
<=> ! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_78])]) ).
fof(f237,plain,
( spl1_22
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
fof(f267,plain,
( ! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) )
| ~ spl1_12
| ~ spl1_22 ),
inference(superposition,[],[f116,f238]) ).
fof(f238,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f2017,plain,
( spl1_77
| ~ spl1_23
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f339,f249,f241,f2015]) ).
fof(f2015,plain,
( spl1_77
<=> ! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X2),X1),X1)
| leq(multiplication(star(X0),multiplication(X2,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_77])]) ).
fof(f249,plain,
( spl1_25
<=> ! [X2,X0,X1] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f339,plain,
( ! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X2),X1),X1)
| leq(multiplication(star(X0),multiplication(X2,X1)),X1) )
| ~ spl1_23
| ~ spl1_25 ),
inference(superposition,[],[f250,f242]) ).
fof(f250,plain,
( ! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f2013,plain,
( spl1_76
| ~ spl1_11
| ~ spl1_30
| ~ spl1_65 ),
inference(avatar_split_clause,[],[f1681,f1411,f386,f111,f2011]) ).
fof(f111,plain,
( spl1_11
<=> ! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f386,plain,
( spl1_30
<=> ! [X0] : one = addition(one,domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f1411,plain,
( spl1_65
<=> ! [X0] : leq(one,domain(star(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_65])]) ).
fof(f1681,plain,
( ! [X0] : one = domain(star(X0))
| ~ spl1_11
| ~ spl1_30
| ~ spl1_65 ),
inference(forward_demodulation,[],[f1680,f387]) ).
fof(f387,plain,
( ! [X0] : one = addition(one,domain(X0))
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1680,plain,
( ! [X0] : domain(star(X0)) = addition(one,domain(star(X0)))
| ~ spl1_11
| ~ spl1_65 ),
inference(resolution,[],[f1412,f112]) ).
fof(f112,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f1412,plain,
( ! [X0] : leq(one,domain(star(X0)))
| ~ spl1_65 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f2009,plain,
( spl1_75
| ~ spl1_22
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f338,f249,f237,f2007]) ).
fof(f2007,plain,
( spl1_75
<=> ! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X1)
| leq(multiplication(star(X0),multiplication(X0,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_75])]) ).
fof(f338,plain,
( ! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X1)
| leq(multiplication(star(X0),multiplication(X0,X2)),X1) )
| ~ spl1_22
| ~ spl1_25 ),
inference(superposition,[],[f250,f238]) ).
fof(f2005,plain,
( spl1_74
| ~ spl1_21
| ~ spl1_23
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f328,f245,f241,f187,f2003]) ).
fof(f2003,plain,
( spl1_74
<=> ! [X2,X0,X1] :
( leq(multiplication(X2,multiplication(X1,star(X1))),X0)
| ~ leq(multiplication(addition(X0,X2),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_74])]) ).
fof(f187,plain,
( spl1_21
<=> ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
fof(f245,plain,
( spl1_24
<=> ! [X2,X0,X1] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( leq(multiplication(X2,multiplication(X1,star(X1))),X0)
| ~ leq(multiplication(addition(X0,X2),X1),X0) )
| ~ spl1_21
| ~ spl1_23
| ~ spl1_24 ),
inference(forward_demodulation,[],[f319,f188]) ).
fof(f188,plain,
( ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X2),X1),X0)
| leq(multiplication(multiplication(X2,X1),star(X1)),X0) )
| ~ spl1_23
| ~ spl1_24 ),
inference(superposition,[],[f246,f242]) ).
fof(f246,plain,
( ! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f2001,plain,
( spl1_73
| ~ spl1_21
| ~ spl1_22
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f327,f245,f237,f187,f1999]) ).
fof(f1999,plain,
( spl1_73
<=> ! [X2,X0,X1] :
( leq(multiplication(X0,multiplication(X2,star(X1))),X0)
| ~ leq(multiplication(X0,addition(X1,X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_73])]) ).
fof(f327,plain,
( ! [X2,X0,X1] :
( leq(multiplication(X0,multiplication(X2,star(X1))),X0)
| ~ leq(multiplication(X0,addition(X1,X2)),X0) )
| ~ spl1_21
| ~ spl1_22
| ~ spl1_24 ),
inference(forward_demodulation,[],[f318,f188]) ).
fof(f318,plain,
( ! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| leq(multiplication(multiplication(X0,X2),star(X1)),X0) )
| ~ spl1_22
| ~ spl1_24 ),
inference(superposition,[],[f246,f238]) ).
fof(f1997,plain,
( spl1_72
| ~ spl1_14
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f227,f187,f130,f1995]) ).
fof(f1995,plain,
( spl1_72
<=> ! [X0,X1] : leq(addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))),star(multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_72])]) ).
fof(f130,plain,
( spl1_14
<=> ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f227,plain,
( ! [X0,X1] : leq(addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))),star(multiplication(X0,X1)))
| ~ spl1_14
| ~ spl1_21 ),
inference(superposition,[],[f131,f188]) ).
fof(f131,plain,
( ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0))
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f1992,plain,
( spl1_71
| ~ spl1_18
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f201,f183,f175,f1990]) ).
fof(f1990,plain,
( spl1_71
<=> ! [X0,X1] : addition(multiplication(domain(X0),X0),X1) = addition(X0,addition(multiplication(domain(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
fof(f175,plain,
( spl1_18
<=> ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f183,plain,
( spl1_20
<=> ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f201,plain,
( ! [X0,X1] : addition(multiplication(domain(X0),X0),X1) = addition(X0,addition(multiplication(domain(X0),X0),X1))
| ~ spl1_18
| ~ spl1_20 ),
inference(superposition,[],[f184,f176]) ).
fof(f176,plain,
( ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0))
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f184,plain,
( ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f1685,plain,
( spl1_70
| ~ spl1_16
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f203,f183,f146,f1683]) ).
fof(f1683,plain,
( spl1_70
<=> ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
fof(f146,plain,
( spl1_16
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f203,plain,
( ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2)
| ~ spl1_16
| ~ spl1_20 ),
inference(superposition,[],[f184,f147]) ).
fof(f147,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1))
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f1679,plain,
( spl1_69
| ~ spl1_16
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f173,f150,f146,f1677]) ).
fof(f1677,plain,
( spl1_69
<=> ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_69])]) ).
fof(f150,plain,
( spl1_17
<=> ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f173,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2))
| ~ spl1_16
| ~ spl1_17 ),
inference(forward_demodulation,[],[f168,f147]) ).
fof(f168,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = addition(domain(multiplication(X0,X1)),domain(X2))
| ~ spl1_16
| ~ spl1_17 ),
inference(superposition,[],[f147,f151]) ).
fof(f151,plain,
( ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1)))
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f1675,plain,
( spl1_68
| ~ spl1_16
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f172,f150,f146,f1673]) ).
fof(f1673,plain,
( spl1_68
<=> ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_68])]) ).
fof(f172,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1)))
| ~ spl1_16
| ~ spl1_17 ),
inference(forward_demodulation,[],[f167,f147]) ).
fof(f167,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = addition(domain(X2),domain(multiplication(X0,X1)))
| ~ spl1_16
| ~ spl1_17 ),
inference(superposition,[],[f147,f151]) ).
fof(f1671,plain,
( spl1_67
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f170,f150,f1669]) ).
fof(f1669,plain,
( spl1_67
<=> ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
fof(f170,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1)))
| ~ spl1_17 ),
inference(forward_demodulation,[],[f164,f151]) ).
fof(f164,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,domain(multiplication(X0,X1))))
| ~ spl1_17 ),
inference(superposition,[],[f151,f151]) ).
fof(f1417,plain,
( spl1_66
| ~ spl1_10
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f341,f249,f99,f1415]) ).
fof(f1415,plain,
( spl1_66
<=> ! [X2,X0,X1] :
( ~ leq(addition(X2,multiplication(X0,X1)),X1)
| leq(multiplication(star(X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f99,plain,
( spl1_10
<=> ! [X0,X1] : addition(X0,X1) = addition(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f341,plain,
( ! [X2,X0,X1] :
( ~ leq(addition(X2,multiplication(X0,X1)),X1)
| leq(multiplication(star(X0),X2),X1) )
| ~ spl1_10
| ~ spl1_25 ),
inference(superposition,[],[f250,f100]) ).
fof(f100,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X1,X0)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1413,plain,
( spl1_65
| ~ spl1_9
| ~ spl1_10
| ~ spl1_16
| ~ spl1_28
| ~ spl1_56
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f1318,f1194,f1186,f358,f146,f99,f94,f1411]) ).
fof(f94,plain,
( spl1_9
<=> ! [X0] : one = addition(domain(X0),one) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f358,plain,
( spl1_28
<=> one = domain(one) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f1186,plain,
( spl1_56
<=> ! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
fof(f1194,plain,
( spl1_58
<=> ! [X0,X1] :
( domain(addition(X0,X1)) != domain(X1)
| leq(domain(X0),domain(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
fof(f1318,plain,
( ! [X0] : leq(one,domain(star(X0)))
| ~ spl1_9
| ~ spl1_10
| ~ spl1_16
| ~ spl1_28
| ~ spl1_56
| ~ spl1_58 ),
inference(forward_demodulation,[],[f1311,f373]) ).
fof(f373,plain,
( ! [X0] : one = domain(addition(one,X0))
| ~ spl1_9
| ~ spl1_10
| ~ spl1_16
| ~ spl1_28 ),
inference(forward_demodulation,[],[f369,f103]) ).
fof(f103,plain,
( ! [X0] : one = addition(one,domain(X0))
| ~ spl1_9
| ~ spl1_10 ),
inference(superposition,[],[f100,f95]) ).
fof(f95,plain,
( ! [X0] : one = addition(domain(X0),one)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f369,plain,
( ! [X0] : addition(one,domain(X0)) = domain(addition(one,X0))
| ~ spl1_16
| ~ spl1_28 ),
inference(superposition,[],[f147,f360]) ).
fof(f360,plain,
( one = domain(one)
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1311,plain,
( ! [X0] : leq(domain(addition(one,multiplication(X0,star(X0)))),domain(star(X0)))
| ~ spl1_56
| ~ spl1_58 ),
inference(trivial_inequality_removal,[],[f1295]) ).
fof(f1295,plain,
( ! [X0] :
( domain(star(X0)) != domain(star(X0))
| leq(domain(addition(one,multiplication(X0,star(X0)))),domain(star(X0))) )
| ~ spl1_56
| ~ spl1_58 ),
inference(superposition,[],[f1195,f1187]) ).
fof(f1187,plain,
( ! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0))
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1195,plain,
( ! [X0,X1] :
( domain(addition(X0,X1)) != domain(X1)
| leq(domain(X0),domain(X1)) )
| ~ spl1_58 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1409,plain,
( spl1_64
| ~ spl1_8
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f340,f249,f90,f1407]) ).
fof(f1407,plain,
( spl1_64
<=> ! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| leq(multiplication(star(X0),multiplication(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_64])]) ).
fof(f90,plain,
( spl1_8
<=> ! [X0] : addition(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f340,plain,
( ! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| leq(multiplication(star(X0),multiplication(X0,X1)),X1) )
| ~ spl1_8
| ~ spl1_25 ),
inference(superposition,[],[f250,f91]) ).
fof(f91,plain,
( ! [X0] : addition(X0,X0) = X0
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f1405,plain,
( spl1_63
| ~ spl1_8
| ~ spl1_21
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f329,f245,f187,f90,f1403]) ).
fof(f1403,plain,
( spl1_63
<=> ! [X0,X1] :
( leq(multiplication(X0,multiplication(X1,star(X1))),X0)
| ~ leq(multiplication(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f329,plain,
( ! [X0,X1] :
( leq(multiplication(X0,multiplication(X1,star(X1))),X0)
| ~ leq(multiplication(X0,X1),X0) )
| ~ spl1_8
| ~ spl1_21
| ~ spl1_24 ),
inference(forward_demodulation,[],[f320,f188]) ).
fof(f320,plain,
( ! [X0,X1] :
( ~ leq(multiplication(X0,X1),X0)
| leq(multiplication(multiplication(X0,X1),star(X1)),X0) )
| ~ spl1_8
| ~ spl1_24 ),
inference(superposition,[],[f246,f91]) ).
fof(f1401,plain,
( spl1_62
| ~ spl1_10
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f321,f245,f99,f1399]) ).
fof(f1399,plain,
( spl1_62
<=> ! [X2,X0,X1] :
( ~ leq(addition(X2,multiplication(X0,X1)),X0)
| leq(multiplication(X2,star(X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
fof(f321,plain,
( ! [X2,X0,X1] :
( ~ leq(addition(X2,multiplication(X0,X1)),X0)
| leq(multiplication(X2,star(X1)),X0) )
| ~ spl1_10
| ~ spl1_24 ),
inference(superposition,[],[f246,f100]) ).
fof(f1397,plain,
( spl1_61
| ~ spl1_10
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f295,f241,f99,f1395]) ).
fof(f1395,plain,
( spl1_61
<=> ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
fof(f295,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1))
| ~ spl1_10
| ~ spl1_23 ),
inference(superposition,[],[f242,f100]) ).
fof(f1393,plain,
( spl1_60
| ~ spl1_10
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f263,f237,f99,f1391]) ).
fof(f1391,plain,
( spl1_60
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
fof(f263,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1))
| ~ spl1_10
| ~ spl1_22 ),
inference(superposition,[],[f238,f100]) ).
fof(f1223,plain,
( spl1_59
| ~ spl1_12
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f211,f183,f115,f1221]) ).
fof(f1221,plain,
( spl1_59
<=> ! [X2,X0,X1] :
( addition(X0,addition(X1,X2)) != X2
| leq(addition(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
fof(f211,plain,
( ! [X2,X0,X1] :
( addition(X0,addition(X1,X2)) != X2
| leq(addition(X0,X1),X2) )
| ~ spl1_12
| ~ spl1_20 ),
inference(superposition,[],[f116,f184]) ).
fof(f1196,plain,
( spl1_58
| ~ spl1_12
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f159,f146,f115,f1194]) ).
fof(f159,plain,
( ! [X0,X1] :
( domain(addition(X0,X1)) != domain(X1)
| leq(domain(X0),domain(X1)) )
| ~ spl1_12
| ~ spl1_16 ),
inference(superposition,[],[f116,f147]) ).
fof(f1192,plain,
( spl1_57
| ~ spl1_11
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f141,f134,f111,f1190]) ).
fof(f1190,plain,
( spl1_57
<=> ! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
fof(f134,plain,
( spl1_15
<=> ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f141,plain,
( ! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0))
| ~ spl1_11
| ~ spl1_15 ),
inference(resolution,[],[f135,f112]) ).
fof(f135,plain,
( ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f1188,plain,
( spl1_56
| ~ spl1_11
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f137,f130,f111,f1186]) ).
fof(f137,plain,
( ! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0))
| ~ spl1_11
| ~ spl1_14 ),
inference(resolution,[],[f131,f112]) ).
fof(f879,plain,
( spl1_55
| ~ spl1_10
| ~ spl1_41 ),
inference(avatar_split_clause,[],[f600,f512,f99,f877]) ).
fof(f877,plain,
( spl1_55
<=> ! [X0,X1] : leq(X0,addition(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
fof(f512,plain,
( spl1_41
<=> ! [X0,X1] : leq(X0,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
fof(f600,plain,
( ! [X0,X1] : leq(X0,addition(X1,X0))
| ~ spl1_10
| ~ spl1_41 ),
inference(superposition,[],[f513,f100]) ).
fof(f513,plain,
( ! [X0,X1] : leq(X0,addition(X0,X1))
| ~ spl1_41 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f641,plain,
( spl1_54
| ~ spl1_7
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f337,f249,f86,f639]) ).
fof(f639,plain,
( spl1_54
<=> ! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(multiplication(star(one),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
fof(f86,plain,
( spl1_7
<=> ! [X0] : multiplication(one,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(multiplication(star(one),X1),X0) )
| ~ spl1_7
| ~ spl1_25 ),
inference(superposition,[],[f250,f87]) ).
fof(f87,plain,
( ! [X0] : multiplication(one,X0) = X0
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f637,plain,
( spl1_53
| ~ spl1_6
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f334,f249,f82,f635]) ).
fof(f635,plain,
( spl1_53
<=> ! [X0,X1] :
( ~ leq(addition(X0,X1),one)
| leq(multiplication(star(X0),X1),one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
fof(f82,plain,
( spl1_6
<=> ! [X0] : multiplication(X0,one) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f334,plain,
( ! [X0,X1] :
( ~ leq(addition(X0,X1),one)
| leq(multiplication(star(X0),X1),one) )
| ~ spl1_6
| ~ spl1_25 ),
inference(superposition,[],[f250,f83]) ).
fof(f83,plain,
( ! [X0] : multiplication(X0,one) = X0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f633,plain,
( spl1_52
| ~ spl1_7
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f317,f245,f86,f631]) ).
fof(f631,plain,
( spl1_52
<=> ! [X0,X1] :
( ~ leq(addition(X0,X1),one)
| leq(multiplication(X1,star(X0)),one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
fof(f317,plain,
( ! [X0,X1] :
( ~ leq(addition(X0,X1),one)
| leq(multiplication(X1,star(X0)),one) )
| ~ spl1_7
| ~ spl1_24 ),
inference(superposition,[],[f246,f87]) ).
fof(f629,plain,
( spl1_51
| ~ spl1_6
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f314,f245,f82,f627]) ).
fof(f627,plain,
( spl1_51
<=> ! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(multiplication(X1,star(one)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
fof(f314,plain,
( ! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(multiplication(X1,star(one)),X0) )
| ~ spl1_6
| ~ spl1_24 ),
inference(superposition,[],[f246,f83]) ).
fof(f625,plain,
( spl1_50
| ~ spl1_7
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f292,f241,f86,f623]) ).
fof(f623,plain,
( spl1_50
<=> ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
fof(f292,plain,
( ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0)
| ~ spl1_7
| ~ spl1_23 ),
inference(superposition,[],[f242,f87]) ).
fof(f621,plain,
( spl1_49
| ~ spl1_7
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f287,f241,f86,f619]) ).
fof(f619,plain,
( spl1_49
<=> ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f287,plain,
( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
| ~ spl1_7
| ~ spl1_23 ),
inference(superposition,[],[f242,f87]) ).
fof(f617,plain,
( spl1_48
| ~ spl1_6
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f258,f237,f82,f615]) ).
fof(f615,plain,
( spl1_48
<=> ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
fof(f258,plain,
( ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)
| ~ spl1_6
| ~ spl1_22 ),
inference(superposition,[],[f238,f83]) ).
fof(f597,plain,
( spl1_47
| ~ spl1_6
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f253,f237,f82,f595]) ).
fof(f595,plain,
( spl1_47
<=> ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
fof(f253,plain,
( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
| ~ spl1_6
| ~ spl1_22 ),
inference(superposition,[],[f238,f83]) ).
fof(f593,plain,
( spl1_46
| ~ spl1_10
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f206,f183,f99,f591]) ).
fof(f591,plain,
( spl1_46
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
fof(f206,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))
| ~ spl1_10
| ~ spl1_20 ),
inference(superposition,[],[f184,f100]) ).
fof(f588,plain,
( spl1_45
| ~ spl1_8
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f205,f183,f90,f586]) ).
fof(f586,plain,
( spl1_45
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
fof(f205,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1)))
| ~ spl1_8
| ~ spl1_20 ),
inference(superposition,[],[f184,f91]) ).
fof(f584,plain,
( spl1_44
| ~ spl1_10
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f198,f183,f99,f582]) ).
fof(f582,plain,
( spl1_44
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
fof(f198,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2)
| ~ spl1_10
| ~ spl1_20 ),
inference(superposition,[],[f184,f100]) ).
fof(f529,plain,
( spl1_43
| ~ spl1_9
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f202,f183,f94,f527]) ).
fof(f527,plain,
( spl1_43
<=> ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
fof(f202,plain,
( ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1))
| ~ spl1_9
| ~ spl1_20 ),
inference(superposition,[],[f184,f95]) ).
fof(f525,plain,
( spl1_42
| ~ spl1_10
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f156,f146,f99,f523]) ).
fof(f523,plain,
( spl1_42
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
fof(f156,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0))
| ~ spl1_10
| ~ spl1_16 ),
inference(superposition,[],[f147,f100]) ).
fof(f514,plain,
( spl1_41
| ~ spl1_12
| ~ spl1_36 ),
inference(avatar_split_clause,[],[f497,f458,f115,f512]) ).
fof(f458,plain,
( spl1_36
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f497,plain,
( ! [X0,X1] : leq(X0,addition(X0,X1))
| ~ spl1_12
| ~ spl1_36 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( ! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) )
| ~ spl1_12
| ~ spl1_36 ),
inference(superposition,[],[f116,f459]) ).
fof(f459,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
| ~ spl1_36 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f476,plain,
( spl1_40
| ~ spl1_4
| ~ spl1_13
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f346,f249,f119,f74,f474]) ).
fof(f474,plain,
( spl1_40
<=> ! [X0,X1] :
( ~ leq(X1,X0)
| leq(multiplication(star(zero),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
fof(f74,plain,
( spl1_4
<=> ! [X0] : zero = multiplication(zero,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f119,plain,
( spl1_13
<=> ! [X0] : addition(zero,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f346,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| leq(multiplication(star(zero),X1),X0) )
| ~ spl1_4
| ~ spl1_13
| ~ spl1_25 ),
inference(forward_demodulation,[],[f335,f120]) ).
fof(f120,plain,
( ! [X0] : addition(zero,X0) = X0
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f335,plain,
( ! [X0,X1] :
( ~ leq(addition(zero,X1),X0)
| leq(multiplication(star(zero),X1),X0) )
| ~ spl1_4
| ~ spl1_25 ),
inference(superposition,[],[f250,f75]) ).
fof(f75,plain,
( ! [X0] : zero = multiplication(zero,X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f472,plain,
( spl1_39
| ~ spl1_3
| ~ spl1_13
| ~ spl1_25 ),
inference(avatar_split_clause,[],[f345,f249,f119,f70,f470]) ).
fof(f470,plain,
( spl1_39
<=> ! [X0,X1] :
( ~ leq(X1,zero)
| leq(multiplication(star(X0),X1),zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f70,plain,
( spl1_3
<=> ! [X0] : zero = multiplication(X0,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ leq(X1,zero)
| leq(multiplication(star(X0),X1),zero) )
| ~ spl1_3
| ~ spl1_13
| ~ spl1_25 ),
inference(forward_demodulation,[],[f333,f120]) ).
fof(f333,plain,
( ! [X0,X1] :
( ~ leq(addition(zero,X1),zero)
| leq(multiplication(star(X0),X1),zero) )
| ~ spl1_3
| ~ spl1_25 ),
inference(superposition,[],[f250,f71]) ).
fof(f71,plain,
( ! [X0] : zero = multiplication(X0,zero)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f468,plain,
( spl1_38
| ~ spl1_4
| ~ spl1_13
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f326,f245,f119,f74,f466]) ).
fof(f466,plain,
( spl1_38
<=> ! [X0,X1] :
( ~ leq(X1,zero)
| leq(multiplication(X1,star(X0)),zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ leq(X1,zero)
| leq(multiplication(X1,star(X0)),zero) )
| ~ spl1_4
| ~ spl1_13
| ~ spl1_24 ),
inference(forward_demodulation,[],[f315,f120]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ leq(addition(zero,X1),zero)
| leq(multiplication(X1,star(X0)),zero) )
| ~ spl1_4
| ~ spl1_24 ),
inference(superposition,[],[f246,f75]) ).
fof(f464,plain,
( spl1_37
| ~ spl1_3
| ~ spl1_13
| ~ spl1_24 ),
inference(avatar_split_clause,[],[f325,f245,f119,f70,f462]) ).
fof(f462,plain,
( spl1_37
<=> ! [X0,X1] :
( ~ leq(X1,X0)
| leq(multiplication(X1,star(zero)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
fof(f325,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| leq(multiplication(X1,star(zero)),X0) )
| ~ spl1_3
| ~ spl1_13
| ~ spl1_24 ),
inference(forward_demodulation,[],[f313,f120]) ).
fof(f313,plain,
( ! [X0,X1] :
( ~ leq(addition(zero,X1),X0)
| leq(multiplication(X1,star(zero)),X0) )
| ~ spl1_3
| ~ spl1_24 ),
inference(superposition,[],[f246,f71]) ).
fof(f460,plain,
( spl1_36
| ~ spl1_8
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f197,f183,f90,f458]) ).
fof(f197,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
| ~ spl1_8
| ~ spl1_20 ),
inference(superposition,[],[f184,f91]) ).
fof(f439,plain,
( spl1_35
| ~ spl1_10
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f124,f115,f99,f437]) ).
fof(f437,plain,
( spl1_35
<=> ! [X0,X1] :
( addition(X1,X0) != X1
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f124,plain,
( ! [X0,X1] :
( addition(X1,X0) != X1
| leq(X0,X1) )
| ~ spl1_10
| ~ spl1_12 ),
inference(superposition,[],[f116,f100]) ).
fof(f433,plain,
( spl1_34
| ~ spl1_7
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f139,f130,f86,f430]) ).
fof(f430,plain,
( spl1_34
<=> leq(addition(one,star(one)),star(one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f139,plain,
( leq(addition(one,star(one)),star(one))
| ~ spl1_7
| ~ spl1_14 ),
inference(superposition,[],[f131,f87]) ).
fof(f400,plain,
( spl1_33
| ~ spl1_12
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f195,f175,f115,f398]) ).
fof(f398,plain,
( spl1_33
<=> ! [X0] : leq(X0,multiplication(domain(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f195,plain,
( ! [X0] : leq(X0,multiplication(domain(X0),X0))
| ~ spl1_12
| ~ spl1_18 ),
inference(trivial_inequality_removal,[],[f194]) ).
fof(f194,plain,
( ! [X0] :
( multiplication(domain(X0),X0) != multiplication(domain(X0),X0)
| leq(X0,multiplication(domain(X0),X0)) )
| ~ spl1_12
| ~ spl1_18 ),
inference(superposition,[],[f116,f176]) ).
fof(f396,plain,
( spl1_32
| ~ spl1_7
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f171,f150,f86,f394]) ).
fof(f394,plain,
( spl1_32
<=> ! [X0] : domain(X0) = domain(domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
fof(f171,plain,
( ! [X0] : domain(X0) = domain(domain(X0))
| ~ spl1_7
| ~ spl1_17 ),
inference(forward_demodulation,[],[f166,f87]) ).
fof(f166,plain,
( ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0))
| ~ spl1_7
| ~ spl1_17 ),
inference(superposition,[],[f151,f87]) ).
fof(f392,plain,
( spl1_31
| ~ spl1_5
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f122,f115,f78,f390]) ).
fof(f390,plain,
( spl1_31
<=> ! [X0] :
( zero != X0
| leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
fof(f78,plain,
( spl1_5
<=> ! [X0] : addition(X0,zero) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f122,plain,
( ! [X0] :
( zero != X0
| leq(X0,zero) )
| ~ spl1_5
| ~ spl1_12 ),
inference(superposition,[],[f116,f79]) ).
fof(f79,plain,
( ! [X0] : addition(X0,zero) = X0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f388,plain,
( spl1_30
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f103,f99,f94,f386]) ).
fof(f384,plain,
( spl1_29
| ~ spl1_12
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f380,f119,f115,f382]) ).
fof(f382,plain,
( spl1_29
<=> ! [X0] : leq(zero,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f380,plain,
( ! [X0] : leq(zero,X0)
| ~ spl1_12
| ~ spl1_13 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f377,plain,
( ! [X0] :
( X0 != X0
| leq(zero,X0) )
| ~ spl1_12
| ~ spl1_13 ),
inference(superposition,[],[f116,f120]) ).
fof(f361,plain,
( spl1_28
| ~ spl1_6
| ~ spl1_9
| ~ spl1_10
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f196,f175,f99,f94,f82,f358]) ).
fof(f196,plain,
( one = domain(one)
| ~ spl1_6
| ~ spl1_9
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_demodulation,[],[f193,f103]) ).
fof(f193,plain,
( domain(one) = addition(one,domain(one))
| ~ spl1_6
| ~ spl1_18 ),
inference(superposition,[],[f176,f83]) ).
fof(f356,plain,
( spl1_27
| ~ spl1_4
| ~ spl1_5
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f140,f130,f78,f74,f353]) ).
fof(f353,plain,
( spl1_27
<=> leq(one,star(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
fof(f140,plain,
( leq(one,star(zero))
| ~ spl1_4
| ~ spl1_5
| ~ spl1_14 ),
inference(forward_demodulation,[],[f138,f79]) ).
fof(f138,plain,
( leq(addition(one,zero),star(zero))
| ~ spl1_4
| ~ spl1_14 ),
inference(superposition,[],[f131,f75]) ).
fof(f351,plain,
( spl1_26
| ~ spl1_9
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f127,f115,f94,f349]) ).
fof(f349,plain,
( spl1_26
<=> ! [X0] : leq(domain(X0),one) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
fof(f127,plain,
( ! [X0] : leq(domain(X0),one)
| ~ spl1_9
| ~ spl1_12 ),
inference(trivial_inequality_removal,[],[f126]) ).
fof(f126,plain,
( ! [X0] :
( one != one
| leq(domain(X0),one) )
| ~ spl1_9
| ~ spl1_12 ),
inference(superposition,[],[f116,f95]) ).
fof(f251,plain,
spl1_25,
inference(avatar_split_clause,[],[f58,f249]) ).
fof(f58,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).
fof(f247,plain,
spl1_24,
inference(avatar_split_clause,[],[f57,f245]) ).
fof(f57,plain,
! [X2,X0,X1] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f243,plain,
spl1_23,
inference(avatar_split_clause,[],[f56,f241]) ).
fof(f56,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f239,plain,
spl1_22,
inference(avatar_split_clause,[],[f55,f237]) ).
fof(f55,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f189,plain,
spl1_21,
inference(avatar_split_clause,[],[f54,f187]) ).
fof(f54,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f185,plain,
spl1_20,
inference(avatar_split_clause,[],[f53,f183]) ).
fof(f53,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f181,plain,
( spl1_19
| ~ spl1_8
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f128,f115,f90,f179]) ).
fof(f179,plain,
( spl1_19
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
fof(f128,plain,
( ! [X0] : leq(X0,X0)
| ~ spl1_8
| ~ spl1_12 ),
inference(trivial_inequality_removal,[],[f123]) ).
fof(f123,plain,
( ! [X0] :
( X0 != X0
| leq(X0,X0) )
| ~ spl1_8
| ~ spl1_12 ),
inference(superposition,[],[f116,f91]) ).
fof(f177,plain,
spl1_18,
inference(avatar_split_clause,[],[f47,f175]) ).
fof(f47,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f152,plain,
spl1_17,
inference(avatar_split_clause,[],[f50,f150]) ).
fof(f50,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f148,plain,
spl1_16,
inference(avatar_split_clause,[],[f49,f146]) ).
fof(f49,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f136,plain,
spl1_15,
inference(avatar_split_clause,[],[f46,f134]) ).
fof(f46,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f132,plain,
spl1_14,
inference(avatar_split_clause,[],[f45,f130]) ).
fof(f45,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f121,plain,
( spl1_13
| ~ spl1_5
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f102,f99,f78,f119]) ).
fof(f102,plain,
( ! [X0] : addition(zero,X0) = X0
| ~ spl1_5
| ~ spl1_10 ),
inference(superposition,[],[f100,f79]) ).
fof(f117,plain,
spl1_12,
inference(avatar_split_clause,[],[f52,f115]) ).
fof(f52,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f113,plain,
spl1_11,
inference(avatar_split_clause,[],[f51,f111]) ).
fof(f51,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f101,plain,
spl1_10,
inference(avatar_split_clause,[],[f48,f99]) ).
fof(f48,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f96,plain,
spl1_9,
inference(avatar_split_clause,[],[f44,f94]) ).
fof(f44,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f92,plain,
spl1_8,
inference(avatar_split_clause,[],[f43,f90]) ).
fof(f43,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f88,plain,
spl1_7,
inference(avatar_split_clause,[],[f42,f86]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f84,plain,
spl1_6,
inference(avatar_split_clause,[],[f41,f82]) ).
fof(f41,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f80,plain,
spl1_5,
inference(avatar_split_clause,[],[f40,f78]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f76,plain,
spl1_4,
inference(avatar_split_clause,[],[f39,f74]) ).
fof(f39,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f72,plain,
spl1_3,
inference(avatar_split_clause,[],[f38,f70]) ).
fof(f38,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f68,plain,
spl1_2,
inference(avatar_split_clause,[],[f37,f65]) ).
fof(f65,plain,
( spl1_2
<=> zero = domain(zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f37,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f63,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f36,f60]) ).
fof(f36,plain,
one != domain(star(sK0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
one != domain(star(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f33]) ).
fof(f33,plain,
( ? [X0] : one != domain(star(X0))
=> one != domain(star(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] : one != domain(star(X0)),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X0] : one = domain(star(X0)),
inference(rectify,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X3] : one = domain(star(X3)),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X3] : one = domain(star(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE093+1 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 09:53:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (25265)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (25269)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (25271)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (25272)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (25270)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (25268)WARNING: value z3 for option sas not known
% 0.13/0.37 % (25267)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (25266)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (25268)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [3]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 % (25270)First to succeed.
% 0.20/0.46 TRYING [4]
% 0.20/0.46 % (25270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25265"
% 0.20/0.46 % (25270)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (25270)------------------------------
% 0.20/0.46 % (25270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (25270)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (25270)Memory used [KB]: 2200
% 0.20/0.46 % (25270)Time elapsed: 0.090 s
% 0.20/0.46 % (25270)Instructions burned: 149 (million)
% 0.20/0.46 % (25265)Success in time 0.107 s
%------------------------------------------------------------------------------