TSTP Solution File: GRP173-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP173-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 05:53:53 EDT 2024
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 79
% Syntax : Number of formulae : 213 ( 37 unt; 0 def)
% Number of atoms : 495 ( 150 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 505 ( 223 ~; 221 |; 0 &)
% ( 61 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 63 ( 61 usr; 62 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 303 ( 303 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2049,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f28,f32,f36,f40,f45,f49,f53,f57,f61,f65,f83,f88,f92,f96,f140,f144,f148,f152,f238,f242,f273,f291,f296,f311,f315,f357,f373,f377,f381,f390,f394,f398,f402,f407,f411,f415,f419,f423,f467,f1089,f1119,f1123,f1127,f1293,f1297,f1301,f1306,f1310,f1314,f1318,f1322,f1326,f1330,f1334,f1338,f1342,f1346,f1376,f1380,f1384,f2048]) ).
fof(f2048,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1347,f1303,f25,f20]) ).
fof(f20,plain,
( spl0_1
<=> identity = a ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f25,plain,
( spl0_2
<=> identity = least_upper_bound(identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1303,plain,
( spl0_48
<=> a = least_upper_bound(identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1347,plain,
( identity = a
| ~ spl0_2
| ~ spl0_48 ),
inference(superposition,[],[f1305,f27]) ).
fof(f27,plain,
( identity = least_upper_bound(identity,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f1305,plain,
( a = least_upper_bound(identity,a)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1384,plain,
( spl0_61
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f229,f150,f59,f1382]) ).
fof(f1382,plain,
( spl0_61
<=> ! [X2,X0,X1] : multiply(X0,X1) = least_upper_bound(multiply(X0,X1),multiply(greatest_lower_bound(X0,X2),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f59,plain,
( spl0_10
<=> ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f150,plain,
( spl0_19
<=> ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f229,plain,
( ! [X2,X0,X1] : multiply(X0,X1) = least_upper_bound(multiply(X0,X1),multiply(greatest_lower_bound(X0,X2),X1))
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f60,f151]) ).
fof(f151,plain,
( ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f60,plain,
( ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f1380,plain,
( spl0_60
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f224,f150,f51,f1378]) ).
fof(f1378,plain,
( spl0_60
<=> ! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X2),X1) = greatest_lower_bound(multiply(X2,X1),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f51,plain,
( spl0_8
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f224,plain,
( ! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X2),X1) = greatest_lower_bound(multiply(X2,X1),multiply(X0,X1))
| ~ spl0_8
| ~ spl0_19 ),
inference(superposition,[],[f151,f52]) ).
fof(f52,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f1376,plain,
( spl0_59
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f210,f146,f63,f1374]) ).
fof(f1374,plain,
( spl0_59
<=> ! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(least_upper_bound(X0,X2),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f63,plain,
( spl0_11
<=> ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f146,plain,
( spl0_18
<=> ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f210,plain,
( ! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(least_upper_bound(X0,X2),X1))
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f64,f147]) ).
fof(f147,plain,
( ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f64,plain,
( ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f1346,plain,
( spl0_58
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f205,f146,f55,f1344]) ).
fof(f1344,plain,
( spl0_58
<=> ! [X2,X0,X1] : multiply(least_upper_bound(X0,X2),X1) = least_upper_bound(multiply(X2,X1),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f205,plain,
( ! [X2,X0,X1] : multiply(least_upper_bound(X0,X2),X1) = least_upper_bound(multiply(X2,X1),multiply(X0,X1))
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f147,f56]) ).
fof(f56,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f1342,plain,
( spl0_57
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f194,f142,f51,f47,f1340]) ).
fof(f1340,plain,
( spl0_57
<=> ! [X0,X1] : greatest_lower_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),greatest_lower_bound(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f47,plain,
( spl0_7
<=> ! [X0] : identity = multiply(inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f142,plain,
( spl0_17
<=> ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f194,plain,
( ! [X0,X1] : greatest_lower_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),greatest_lower_bound(X1,X0))
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f180,f52]) ).
fof(f180,plain,
( ! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(multiply(inverse(X0),X1),identity)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f143,f48]) ).
fof(f48,plain,
( ! [X0] : identity = multiply(inverse(X0),X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f143,plain,
( ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f1338,plain,
( spl0_56
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f187,f142,f59,f1336]) ).
fof(f1336,plain,
( spl0_56
<=> ! [X2,X0,X1] : multiply(X0,X1) = least_upper_bound(multiply(X0,X1),multiply(X0,greatest_lower_bound(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f187,plain,
( ! [X2,X0,X1] : multiply(X0,X1) = least_upper_bound(multiply(X0,X1),multiply(X0,greatest_lower_bound(X1,X2)))
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f60,f143]) ).
fof(f1334,plain,
( spl0_55
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f183,f142,f51,f1332]) ).
fof(f1332,plain,
( spl0_55
<=> ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X2),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f183,plain,
( ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X2),multiply(X0,X1))
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f143,f52]) ).
fof(f1330,plain,
( spl0_54
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f177,f142,f47,f1328]) ).
fof(f1328,plain,
( spl0_54
<=> ! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f177,plain,
( ! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1))
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f143,f48]) ).
fof(f1326,plain,
( spl0_53
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f171,f138,f55,f47,f1324]) ).
fof(f1324,plain,
( spl0_53
<=> ! [X0,X1] : least_upper_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),least_upper_bound(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f138,plain,
( spl0_16
<=> ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f171,plain,
( ! [X0,X1] : least_upper_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),least_upper_bound(X1,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f157,f56]) ).
fof(f157,plain,
( ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity)
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f139,f48]) ).
fof(f139,plain,
( ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f1322,plain,
( spl0_52
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f164,f138,f63,f1320]) ).
fof(f1320,plain,
( spl0_52
<=> ! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(X0,least_upper_bound(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f164,plain,
( ! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(X0,least_upper_bound(X1,X2)))
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f64,f139]) ).
fof(f1318,plain,
( spl0_51
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f160,f138,f55,f1316]) ).
fof(f1316,plain,
( spl0_51
<=> ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X2),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f160,plain,
( ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X2),multiply(X0,X1))
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f139,f56]) ).
fof(f1314,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f154,f138,f47,f1312]) ).
fof(f1312,plain,
( spl0_50
<=> ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f154,plain,
( ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1))
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f139,f48]) ).
fof(f1310,plain,
( spl0_49
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f131,f94,f63,f1308]) ).
fof(f1308,plain,
( spl0_49
<=> ! [X2,X0,X1] : least_upper_bound(X0,X1) = greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,least_upper_bound(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f94,plain,
( spl0_15
<=> ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f131,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,X1) = greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,least_upper_bound(X1,X2)))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f64,f95]) ).
fof(f95,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f1306,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_6
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f1196,f1117,f42,f30,f1303]) ).
fof(f30,plain,
( spl0_3
<=> ! [X0] : multiply(identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f42,plain,
( spl0_6
<=> identity = least_upper_bound(identity,inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1117,plain,
( spl0_42
<=> ! [X0,X1] : least_upper_bound(identity,multiply(X1,X0)) = multiply(least_upper_bound(X1,inverse(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1196,plain,
( a = least_upper_bound(identity,a)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1175,f31]) ).
fof(f31,plain,
( ! [X0] : multiply(identity,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f1175,plain,
( multiply(identity,a) = least_upper_bound(identity,multiply(identity,a))
| ~ spl0_6
| ~ spl0_42 ),
inference(superposition,[],[f1118,f44]) ).
fof(f44,plain,
( identity = least_upper_bound(identity,inverse(a))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f1118,plain,
( ! [X0,X1] : least_upper_bound(identity,multiply(X1,X0)) = multiply(least_upper_bound(X1,inverse(X0)),X0)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1301,plain,
( spl0_47
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f129,f94,f59,f1299]) ).
fof(f1299,plain,
( spl0_47
<=> ! [X2,X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,greatest_lower_bound(least_upper_bound(X0,X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f129,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,greatest_lower_bound(least_upper_bound(X0,X1),X2)))
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f95,f60]) ).
fof(f1297,plain,
( spl0_46
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f113,f90,f59,f1295]) ).
fof(f1295,plain,
( spl0_46
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,X1) = least_upper_bound(greatest_lower_bound(X0,X1),greatest_lower_bound(X0,greatest_lower_bound(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f90,plain,
( spl0_14
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f113,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,X1) = least_upper_bound(greatest_lower_bound(X0,X1),greatest_lower_bound(X0,greatest_lower_bound(X1,X2)))
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f60,f91]) ).
fof(f91,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f1293,plain,
( spl0_45
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f111,f90,f63,f1291]) ).
fof(f1291,plain,
( spl0_45
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,least_upper_bound(greatest_lower_bound(X0,X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f111,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,least_upper_bound(greatest_lower_bound(X0,X1),X2)))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f91,f64]) ).
fof(f1127,plain,
( spl0_44
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f232,f150,f51,f47,f1125]) ).
fof(f1125,plain,
( spl0_44
<=> ! [X0,X1] : greatest_lower_bound(identity,multiply(X1,X0)) = multiply(greatest_lower_bound(X1,inverse(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f232,plain,
( ! [X0,X1] : greatest_lower_bound(identity,multiply(X1,X0)) = multiply(greatest_lower_bound(X1,inverse(X0)),X0)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f220,f52]) ).
fof(f220,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(X1,inverse(X0)),X0) = greatest_lower_bound(multiply(X1,X0),identity)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f151,f48]) ).
fof(f1123,plain,
( spl0_43
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f217,f150,f47,f1121]) ).
fof(f1121,plain,
( spl0_43
<=> ! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f217,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0))
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f151,f48]) ).
fof(f1119,plain,
( spl0_42
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f213,f146,f55,f47,f1117]) ).
fof(f213,plain,
( ! [X0,X1] : least_upper_bound(identity,multiply(X1,X0)) = multiply(least_upper_bound(X1,inverse(X0)),X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f201,f56]) ).
fof(f201,plain,
( ! [X0,X1] : multiply(least_upper_bound(X1,inverse(X0)),X0) = least_upper_bound(multiply(X1,X0),identity)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f147,f48]) ).
fof(f1089,plain,
( spl0_41
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f198,f146,f47,f1087]) ).
fof(f1087,plain,
( spl0_41
<=> ! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f198,plain,
( ! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0))
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f147,f48]) ).
fof(f467,plain,
( spl0_40
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f274,f271,f30,f465]) ).
fof(f465,plain,
( spl0_40
<=> ! [X0] : multiply(inverse(identity),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f271,plain,
( spl0_22
<=> ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f274,plain,
( ! [X0] : multiply(inverse(identity),X0) = X0
| ~ spl0_3
| ~ spl0_22 ),
inference(superposition,[],[f272,f31]) ).
fof(f272,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f423,plain,
( spl0_39
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f219,f150,f30,f421]) ).
fof(f421,plain,
( spl0_39
<=> ! [X0,X1] : multiply(greatest_lower_bound(X1,identity),X0) = greatest_lower_bound(multiply(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f219,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(X1,identity),X0) = greatest_lower_bound(multiply(X1,X0),X0)
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f151,f31]) ).
fof(f419,plain,
( spl0_38
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f216,f150,f30,f417]) ).
fof(f417,plain,
( spl0_38
<=> ! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f216,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0))
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f151,f31]) ).
fof(f415,plain,
( spl0_37
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f200,f146,f30,f413]) ).
fof(f413,plain,
( spl0_37
<=> ! [X0,X1] : multiply(least_upper_bound(X1,identity),X0) = least_upper_bound(multiply(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f200,plain,
( ! [X0,X1] : multiply(least_upper_bound(X1,identity),X0) = least_upper_bound(multiply(X1,X0),X0)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f147,f31]) ).
fof(f411,plain,
( spl0_36
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f197,f146,f30,f409]) ).
fof(f409,plain,
( spl0_36
<=> ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f197,plain,
( ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0))
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f147,f31]) ).
fof(f407,plain,
( spl0_35
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f127,f94,f55,f405]) ).
fof(f405,plain,
( spl0_35
<=> ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f127,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X0,X1))
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f95,f56]) ).
fof(f402,plain,
( spl0_34
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f126,f94,f34,f400]) ).
fof(f400,plain,
( spl0_34
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0] : least_upper_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f126,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X1)))
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f95,f35]) ).
fof(f35,plain,
( ! [X0] : least_upper_bound(X0,X0) = X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f398,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f124,f94,f59,f396]) ).
fof(f396,plain,
( spl0_33
<=> ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(greatest_lower_bound(X0,X1),X2)) = least_upper_bound(X0,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f124,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(greatest_lower_bound(X0,X1),X2)) = least_upper_bound(X0,X2)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f95,f60]) ).
fof(f394,plain,
( spl0_32
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f122,f94,f55,f392]) ).
fof(f392,plain,
( spl0_32
<=> ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f122,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X1,X0),X2)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f95,f56]) ).
fof(f390,plain,
( spl0_31
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f109,f90,f51,f388]) ).
fof(f388,plain,
( spl0_31
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f109,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1))
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f91,f52]) ).
fof(f381,plain,
( spl0_30
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f108,f90,f38,f379]) ).
fof(f379,plain,
( spl0_30
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0] : greatest_lower_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f108,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X1)))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f91,f39]) ).
fof(f39,plain,
( ! [X0] : greatest_lower_bound(X0,X0) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f377,plain,
( spl0_29
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f106,f90,f63,f375]) ).
fof(f375,plain,
( spl0_29
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X0,X1),X2)) = greatest_lower_bound(X0,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f106,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X0,X1),X2)) = greatest_lower_bound(X0,X2)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f91,f64]) ).
fof(f373,plain,
( spl0_28
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f104,f90,f51,f371]) ).
fof(f371,plain,
( spl0_28
<=> ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f104,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X1,X0),X2)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f91,f52]) ).
fof(f357,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f120,f94,f42,f355]) ).
fof(f355,plain,
( spl0_27
<=> ! [X0] : least_upper_bound(identity,X0) = least_upper_bound(identity,least_upper_bound(inverse(a),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f120,plain,
( ! [X0] : least_upper_bound(identity,X0) = least_upper_bound(identity,least_upper_bound(inverse(a),X0))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f95,f44]) ).
fof(f315,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f121,f94,f34,f313]) ).
fof(f313,plain,
( spl0_26
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f121,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1))
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f95,f35]) ).
fof(f311,plain,
( spl0_25
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f103,f90,f38,f309]) ).
fof(f309,plain,
( spl0_25
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f103,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f91,f39]) ).
fof(f296,plain,
( spl0_24
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f175,f85,f63,f293]) ).
fof(f293,plain,
( spl0_24
<=> a = greatest_lower_bound(a,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f85,plain,
( spl0_13
<=> identity = least_upper_bound(a,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f175,plain,
( a = greatest_lower_bound(a,identity)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f64,f87]) ).
fof(f87,plain,
( identity = least_upper_bound(a,identity)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f291,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f119,f94,f25,f289]) ).
fof(f289,plain,
( spl0_23
<=> ! [X0] : least_upper_bound(identity,least_upper_bound(a,X0)) = least_upper_bound(identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f119,plain,
( ! [X0] : least_upper_bound(identity,least_upper_bound(a,X0)) = least_upper_bound(identity,X0)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f95,f27]) ).
fof(f273,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f100,f81,f47,f30,f271]) ).
fof(f81,plain,
( spl0_12
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f100,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f98,f31]) ).
fof(f98,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f82,f48]) ).
fof(f82,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f242,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f76,f63,f55,f240]) ).
fof(f240,plain,
( spl0_21
<=> ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f76,plain,
( ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f64,f56]) ).
fof(f238,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f71,f59,f51,f236]) ).
fof(f236,plain,
( spl0_20
<=> ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f71,plain,
( ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f60,f52]) ).
fof(f152,plain,
spl0_19,
inference(avatar_split_clause,[],[f15,f150]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f148,plain,
spl0_18,
inference(avatar_split_clause,[],[f14,f146]) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f144,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f142]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f140,plain,
spl0_16,
inference(avatar_split_clause,[],[f12,f138]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f96,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f94]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f92,plain,
spl0_14,
inference(avatar_split_clause,[],[f6,f90]) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f88,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f66,f55,f25,f85]) ).
fof(f66,plain,
( identity = least_upper_bound(a,identity)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f56,f27]) ).
fof(f83,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f81]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f65,plain,
spl0_11,
inference(avatar_split_clause,[],[f11,f63]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f61,plain,
spl0_10,
inference(avatar_split_clause,[],[f10,f59]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f55]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f53,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f51]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f49,plain,
spl0_7,
inference(avatar_split_clause,[],[f2,f47]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f45,plain,
spl0_6,
inference(avatar_split_clause,[],[f17,f42]) ).
fof(f17,axiom,
identity = least_upper_bound(identity,inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p05a_2) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f9,f38]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_gld) ).
fof(f36,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f34]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_lub) ).
fof(f32,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f30]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f28,plain,
spl0_2,
inference(avatar_split_clause,[],[f16,f25]) ).
fof(f16,axiom,
identity = least_upper_bound(identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p05a_1) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f18,axiom,
identity != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p05a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP173-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:44:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.35 % (30806)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (30810)WARNING: value z3 for option sas not known
% 0.19/0.36 % (30812)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)
% 0.19/0.36 % (30814)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)
% 0.19/0.36 % (30813)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)
% 0.19/0.36 % (30810)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)
% 0.19/0.36 % (30811)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36 % (30807)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 % (30809)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.38 TRYING [3]
% 0.19/0.38 TRYING [4]
% 0.19/0.42 TRYING [1]
% 0.19/0.42 TRYING [2]
% 0.19/0.43 TRYING [3]
% 0.19/0.43 % (30812)First to succeed.
% 0.19/0.44 % (30812)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30806"
% 0.19/0.44 % (30812)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44 % (30812)------------------------------
% 0.19/0.44 % (30812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.44 % (30812)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (30812)Memory used [KB]: 2222
% 0.19/0.44 % (30812)Time elapsed: 0.077 s
% 0.19/0.44 % (30812)Instructions burned: 166 (million)
% 0.19/0.44 % (30806)Success in time 0.078 s
%------------------------------------------------------------------------------