TSTP Solution File: LAT040-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Tue Apr 30 13:20:30 EDT 2024
% Result : Unsatisfiable 0.16s 0.57s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 78
% Syntax : Number of formulae : 244 ( 27 unt; 0 def)
% Number of atoms : 631 ( 177 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 711 ( 324 ~; 322 |; 0 &)
% ( 65 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 67 ( 65 usr; 66 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 358 ( 358 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5156,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f22,f26,f31,f38,f45,f50,f54,f58,f62,f66,f80,f84,f107,f129,f133,f204,f215,f219,f269,f273,f321,f325,f397,f401,f405,f463,f467,f507,f511,f515,f521,f525,f529,f533,f537,f542,f913,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1079,f1083,f1087,f1091,f2507,f2512,f2516,f2521,f2853,f2857,f3324,f3328,f3332,f3336,f4865,f4870,f4942,f4947,f5155]) ).
fof(f5155,plain,
( spl0_1
| ~ spl0_17
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f4948,f4939,f201,f15]) ).
fof(f15,plain,
( spl0_1
<=> yy = zz ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f201,plain,
( spl0_17
<=> zz = join(zz,meet(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f4939,plain,
( spl0_64
<=> yy = join(zz,meet(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f4948,plain,
( yy = zz
| ~ spl0_17
| ~ spl0_64 ),
inference(superposition,[],[f4941,f203]) ).
fof(f203,plain,
( zz = join(zz,meet(yy,xx))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f4941,plain,
( yy = join(zz,meet(yy,xx))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f4939]) ).
fof(f4947,plain,
( spl0_65
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_46
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2086,f1072,f1068,f64,f52,f42,f4944]) ).
fof(f4944,plain,
( spl0_65
<=> yy = meet(zz,join(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f42,plain,
( spl0_6
<=> join(zz,xx) = join(yy,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f52,plain,
( spl0_8
<=> ! [X0,X1] : meet(X0,join(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f64,plain,
( spl0_11
<=> ! [X0,X1] : join(X0,X1) = join(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1068,plain,
( spl0_46
<=> ! [X0] : meet(zz,join(xx,X0)) = join(meet(yy,xx),meet(zz,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1072,plain,
( spl0_47
<=> ! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,X2),meet(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2086,plain,
( yy = meet(zz,join(yy,xx))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2085,f65]) ).
fof(f65,plain,
( ! [X0,X1] : join(X0,X1) = join(X1,X0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f2085,plain,
( yy = meet(zz,join(xx,yy))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2084,f53]) ).
fof(f53,plain,
( ! [X0,X1] : meet(X0,join(X0,X1)) = X0
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f2084,plain,
( meet(zz,join(xx,yy)) = meet(yy,join(yy,xx))
| ~ spl0_6
| ~ spl0_11
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2083,f44]) ).
fof(f44,plain,
( join(zz,xx) = join(yy,xx)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f2083,plain,
( meet(zz,join(xx,yy)) = meet(yy,join(zz,xx))
| ~ spl0_11
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1995,f65]) ).
fof(f1995,plain,
( meet(zz,join(xx,yy)) = meet(yy,join(xx,zz))
| ~ spl0_46
| ~ spl0_47 ),
inference(superposition,[],[f1073,f1069]) ).
fof(f1069,plain,
( ! [X0] : meet(zz,join(xx,X0)) = join(meet(yy,xx),meet(zz,X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1073,plain,
( ! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,X2),meet(X1,X0))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f4942,plain,
( spl0_64
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_40
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1353,f1048,f1044,f60,f56,f47,f4939]) ).
fof(f47,plain,
( spl0_7
<=> meet(zz,xx) = meet(yy,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f56,plain,
( spl0_9
<=> ! [X0,X1] : join(X0,meet(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f60,plain,
( spl0_10
<=> ! [X0,X1] : meet(X0,X1) = meet(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1044,plain,
( spl0_40
<=> ! [X0] : join(zz,meet(xx,X0)) = meet(join(yy,xx),join(zz,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1048,plain,
( spl0_41
<=> ! [X2,X0,X1] : join(X0,meet(X2,X1)) = meet(join(X0,X2),join(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1353,plain,
( yy = join(zz,meet(yy,xx))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1352,f61]) ).
fof(f61,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X1,X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f1352,plain,
( yy = join(zz,meet(xx,yy))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1351,f57]) ).
fof(f57,plain,
( ! [X0,X1] : join(X0,meet(X0,X1)) = X0
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f1351,plain,
( join(zz,meet(xx,yy)) = join(yy,meet(yy,xx))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1350,f49]) ).
fof(f49,plain,
( meet(zz,xx) = meet(yy,xx)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f1350,plain,
( join(zz,meet(xx,yy)) = join(yy,meet(zz,xx))
| ~ spl0_10
| ~ spl0_40
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1284,f61]) ).
fof(f1284,plain,
( join(zz,meet(xx,yy)) = join(yy,meet(xx,zz))
| ~ spl0_40
| ~ spl0_41 ),
inference(superposition,[],[f1049,f1045]) ).
fof(f1045,plain,
( ! [X0] : join(zz,meet(xx,X0)) = meet(join(yy,xx),join(zz,X0))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1049,plain,
( ! [X2,X0,X1] : join(X0,meet(X2,X1)) = meet(join(X0,X2),join(X1,X0))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f4870,plain,
( spl0_63
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f181,f131,f127,f4868]) ).
fof(f4868,plain,
( spl0_63
<=> ! [X0,X3,X2,X1] : join(meet(X0,X1),meet(X3,meet(X0,X2))) = meet(join(meet(X0,X1),X3),meet(X0,join(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f127,plain,
( spl0_15
<=> ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f131,plain,
( spl0_16
<=> ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f181,plain,
( ! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X3,meet(X0,X2))) = meet(join(meet(X0,X1),X3),meet(X0,join(X1,X2)))
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f128,f132]) ).
fof(f132,plain,
( ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f128,plain,
( ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f4865,plain,
( spl0_62
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f175,f131,f127,f4863]) ).
fof(f4863,plain,
( spl0_62
<=> ! [X0,X3,X2,X1] : meet(join(X0,X1),join(X3,join(X0,X2))) = join(meet(join(X0,X1),X3),join(X0,meet(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f175,plain,
( ! [X2,X3,X0,X1] : meet(join(X0,X1),join(X3,join(X0,X2))) = join(meet(join(X0,X1),X3),join(X0,meet(X1,X2)))
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f132,f128]) ).
fof(f3336,plain,
( spl0_61
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f199,f131,f127,f78,f3334]) ).
fof(f3334,plain,
( spl0_61
<=> ! [X0,X3,X2,X1] : meet(meet(X0,join(X1,X2)),join(meet(X0,X1),X3)) = meet(X0,join(X1,meet(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f78,plain,
( spl0_12
<=> ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1] : meet(meet(X0,join(X1,X2)),join(meet(X0,X1),X3)) = meet(X0,join(X1,meet(X2,X3)))
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f198,f132]) ).
fof(f198,plain,
( ! [X2,X3,X0,X1] : meet(meet(X0,join(X1,X2)),join(meet(X0,X1),X3)) = join(meet(X0,X1),meet(X0,meet(X2,X3)))
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f182,f79]) ).
fof(f79,plain,
( ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f182,plain,
( ! [X2,X3,X0,X1] : join(meet(X0,X1),meet(meet(X0,X2),X3)) = meet(meet(X0,join(X1,X2)),join(meet(X0,X1),X3))
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f128,f132]) ).
fof(f3332,plain,
( spl0_60
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f193,f131,f127,f82,f3330]) ).
fof(f3330,plain,
( spl0_60
<=> ! [X0,X3,X2,X1] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X3)) = join(X0,meet(X1,join(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f82,plain,
( spl0_13
<=> ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f193,plain,
( ! [X2,X3,X0,X1] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X3)) = join(X0,meet(X1,join(X2,X3)))
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f192,f128]) ).
fof(f192,plain,
( ! [X2,X3,X0,X1] : join(join(X0,meet(X1,X2)),meet(join(X0,X1),X3)) = meet(join(X0,X1),join(X0,join(X2,X3)))
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f168,f83]) ).
fof(f83,plain,
( ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f168,plain,
( ! [X2,X3,X0,X1] : meet(join(X0,X1),join(join(X0,X2),X3)) = join(join(X0,meet(X1,X2)),meet(join(X0,X1),X3))
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f132,f128]) ).
fof(f3328,plain,
( spl0_59
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f191,f131,f78,f3326]) ).
fof(f3326,plain,
( spl0_59
<=> ! [X0,X3,X2,X1] : join(meet(X0,meet(X1,X2)),meet(X0,meet(X1,X3))) = meet(X0,meet(X1,join(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f191,plain,
( ! [X2,X3,X0,X1] : join(meet(X0,meet(X1,X2)),meet(X0,meet(X1,X3))) = meet(X0,meet(X1,join(X2,X3)))
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f190,f79]) ).
fof(f190,plain,
( ! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,X2)),meet(X0,meet(X1,X3)))
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f167,f79]) ).
fof(f167,plain,
( ! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,X2)),meet(meet(X0,X1),X3))
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f132,f79]) ).
fof(f3324,plain,
( spl0_58
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f158,f127,f82,f3322]) ).
fof(f3322,plain,
( spl0_58
<=> ! [X0,X3,X2,X1] : meet(join(X0,join(X1,X2)),join(X0,join(X1,X3))) = join(X0,join(X1,meet(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f158,plain,
( ! [X2,X3,X0,X1] : meet(join(X0,join(X1,X2)),join(X0,join(X1,X3))) = join(X0,join(X1,meet(X2,X3)))
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f157,f83]) ).
fof(f157,plain,
( ! [X2,X3,X0,X1] : join(join(X0,X1),meet(X2,X3)) = meet(join(X0,join(X1,X2)),join(X0,join(X1,X3)))
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f139,f83]) ).
fof(f139,plain,
( ! [X2,X3,X0,X1] : join(join(X0,X1),meet(X2,X3)) = meet(join(X0,join(X1,X2)),join(join(X0,X1),X3))
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f128,f83]) ).
fof(f2857,plain,
( spl0_57
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f183,f131,f82,f2855]) ).
fof(f2855,plain,
( spl0_57
<=> ! [X0,X3,X2,X1] : join(meet(X0,X1),join(meet(X0,X2),X3)) = join(meet(X0,join(X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f183,plain,
( ! [X2,X3,X0,X1] : join(meet(X0,X1),join(meet(X0,X2),X3)) = join(meet(X0,join(X1,X2)),X3)
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f83,f132]) ).
fof(f2853,plain,
( spl0_56
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f150,f127,f78,f2851]) ).
fof(f2851,plain,
( spl0_56
<=> ! [X0,X3,X2,X1] : meet(join(X0,X1),meet(join(X0,X2),X3)) = meet(join(X0,meet(X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f150,plain,
( ! [X2,X3,X0,X1] : meet(join(X0,X1),meet(join(X0,X2),X3)) = meet(join(X0,meet(X1,X2)),X3)
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f79,f128]) ).
fof(f2521,plain,
( spl0_55
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f121,f82,f52,f2519]) ).
fof(f2519,plain,
( spl0_55
<=> ! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f121,plain,
( ! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2)))
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f53,f83]) ).
fof(f2516,plain,
( spl0_54
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f115,f82,f56,f2514]) ).
fof(f2514,plain,
( spl0_54
<=> ! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f115,plain,
( ! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2)))
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f83,f57]) ).
fof(f2512,plain,
( spl0_53
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f99,f78,f56,f2510]) ).
fof(f2510,plain,
( spl0_53
<=> ! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f99,plain,
( ! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2)))
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f57,f79]) ).
fof(f2507,plain,
( spl0_52
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f92,f78,f52,f2505]) ).
fof(f2505,plain,
( spl0_52
<=> ! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f92,plain,
( ! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2)))
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f79,f53]) ).
fof(f1091,plain,
( spl0_51
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f186,f131,f52,f1089]) ).
fof(f1089,plain,
( spl0_51
<=> ! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X0,join(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f186,plain,
( ! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X0,join(X1,X2)))
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f53,f132]) ).
fof(f1087,plain,
( spl0_50
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f178,f131,f64,f1085]) ).
fof(f1085,plain,
( spl0_50
<=> ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f178,plain,
( ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1))
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f132,f65]) ).
fof(f1083,plain,
( spl0_49
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f176,f131,f47,f1081]) ).
fof(f1081,plain,
( spl0_49
<=> ! [X0] : meet(zz,join(X0,xx)) = join(meet(zz,X0),meet(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f176,plain,
( ! [X0] : meet(zz,join(X0,xx)) = join(meet(zz,X0),meet(yy,xx))
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f132,f49]) ).
fof(f1079,plain,
( spl0_48
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f252,f217,f47,f1076]) ).
fof(f1076,plain,
( spl0_48
<=> zz = join(meet(yy,xx),zz) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f217,plain,
( spl0_19
<=> ! [X0,X1] : join(meet(X0,X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f252,plain,
( zz = join(meet(yy,xx),zz)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f218,f49]) ).
fof(f218,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = X0
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f1074,plain,
( spl0_47
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f172,f131,f60,f1072]) ).
fof(f172,plain,
( ! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,X2),meet(X1,X0))
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f132,f61]) ).
fof(f1070,plain,
( spl0_46
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f169,f131,f47,f1068]) ).
fof(f169,plain,
( ! [X0] : meet(zz,join(xx,X0)) = join(meet(yy,xx),meet(zz,X0))
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f132,f49]) ).
fof(f1066,plain,
( spl0_45
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f165,f131,f60,f1064]) ).
fof(f1064,plain,
( spl0_45
<=> ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f165,plain,
( ! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2))
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f132,f61]) ).
fof(f1062,plain,
( spl0_44
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f153,f127,f56,f1060]) ).
fof(f1060,plain,
( spl0_44
<=> ! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X0,meet(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f153,plain,
( ! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X0,meet(X1,X2)))
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f57,f128]) ).
fof(f1058,plain,
( spl0_43
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f147,f127,f60,f1056]) ).
fof(f1056,plain,
( spl0_43
<=> ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X2),join(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f147,plain,
( ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X2),join(X0,X1))
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f128,f61]) ).
fof(f1054,plain,
( spl0_42
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f144,f127,f42,f1052]) ).
fof(f1052,plain,
( spl0_42
<=> ! [X0] : join(zz,meet(X0,xx)) = meet(join(zz,X0),join(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f144,plain,
( ! [X0] : join(zz,meet(X0,xx)) = meet(join(zz,X0),join(yy,xx))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f128,f44]) ).
fof(f1050,plain,
( spl0_41
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f142,f127,f64,f1048]) ).
fof(f142,plain,
( ! [X2,X0,X1] : join(X0,meet(X2,X1)) = meet(join(X0,X2),join(X1,X0))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f128,f65]) ).
fof(f1046,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f138,f127,f42,f1044]) ).
fof(f138,plain,
( ! [X0] : join(zz,meet(xx,X0)) = meet(join(yy,xx),join(zz,X0))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f128,f44]) ).
fof(f1042,plain,
( spl0_39
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f136,f127,f64,f1040]) ).
fof(f1040,plain,
( spl0_39
<=> ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f136,plain,
( ! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f128,f65]) ).
fof(f913,plain,
( spl0_38
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f247,f217,f60,f911]) ).
fof(f911,plain,
( spl0_38
<=> ! [X0,X1] : join(meet(X1,X0),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f247,plain,
( ! [X0,X1] : join(meet(X1,X0),X0) = X0
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f218,f61]) ).
fof(f542,plain,
( spl0_37
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f116,f82,f64,f540]) ).
fof(f540,plain,
( spl0_37
<=> ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f116,plain,
( ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1))
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f83,f65]) ).
fof(f537,plain,
( spl0_36
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f114,f82,f24,f535]) ).
fof(f535,plain,
( spl0_36
<=> ! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f24,plain,
( spl0_3
<=> ! [X0] : join(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f114,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X0,X1)))
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f83,f25]) ).
fof(f25,plain,
( ! [X0] : join(X0,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f533,plain,
( spl0_35
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f110,f82,f64,f531]) ).
fof(f531,plain,
( spl0_35
<=> ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f110,plain,
( ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2)
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f83,f65]) ).
fof(f529,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f109,f82,f56,f527]) ).
fof(f527,plain,
( spl0_34
<=> ! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f109,plain,
( ! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2))
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f83,f57]) ).
fof(f525,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f93,f78,f60,f523]) ).
fof(f523,plain,
( spl0_33
<=> ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f93,plain,
( ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1))
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f79,f61]) ).
fof(f521,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f233,f213,f42,f518]) ).
fof(f518,plain,
( spl0_32
<=> zz = meet(join(yy,xx),zz) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f213,plain,
( spl0_18
<=> ! [X0,X1] : meet(join(X0,X1),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f233,plain,
( zz = meet(join(yy,xx),zz)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f214,f44]) ).
fof(f214,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = X0
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f515,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f91,f78,f20,f513]) ).
fof(f513,plain,
( spl0_31
<=> ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,meet(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f20,plain,
( spl0_2
<=> ! [X0] : meet(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f91,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,meet(X0,X1)))
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f79,f21]) ).
fof(f21,plain,
( ! [X0] : meet(X0,X0) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f511,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f87,f78,f60,f509]) ).
fof(f509,plain,
( spl0_30
<=> ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f87,plain,
( ! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f79,f61]) ).
fof(f507,plain,
( spl0_29
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f86,f78,f52,f505]) ).
fof(f505,plain,
( spl0_29
<=> ! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f86,plain,
( ! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2))
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f79,f53]) ).
fof(f467,plain,
( spl0_28
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f123,f82,f42,f465]) ).
fof(f465,plain,
( spl0_28
<=> ! [X0] : join(zz,join(xx,X0)) = join(yy,join(xx,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f123,plain,
( ! [X0] : join(zz,join(xx,X0)) = join(yy,join(xx,X0))
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f112,f83]) ).
fof(f112,plain,
( ! [X0] : join(zz,join(xx,X0)) = join(join(yy,xx),X0)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f83,f44]) ).
fof(f463,plain,
( spl0_27
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f100,f78,f47,f461]) ).
fof(f461,plain,
( spl0_27
<=> ! [X0] : meet(zz,meet(xx,X0)) = meet(yy,meet(xx,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f100,plain,
( ! [X0] : meet(zz,meet(xx,X0)) = meet(yy,meet(xx,X0))
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f89,f79]) ).
fof(f89,plain,
( ! [X0] : meet(zz,meet(xx,X0)) = meet(meet(yy,xx),X0)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f79,f49]) ).
fof(f405,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f108,f82,f24,f403]) ).
fof(f403,plain,
( spl0_26
<=> ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f108,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1))
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f83,f25]) ).
fof(f401,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f229,f213,f64,f399]) ).
fof(f399,plain,
( spl0_25
<=> ! [X0,X1] : meet(join(X1,X0),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f229,plain,
( ! [X0,X1] : meet(join(X1,X0),X0) = X0
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f214,f65]) ).
fof(f397,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f85,f78,f20,f395]) ).
fof(f395,plain,
( spl0_24
<=> ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f85,plain,
( ! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1))
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f79,f21]) ).
fof(f325,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f195,f131,f64,f52,f20,f323]) ).
fof(f323,plain,
( spl0_23
<=> ! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f195,plain,
( ! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = X0
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f171,f194]) ).
fof(f194,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = X0
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f170,f75]) ).
fof(f75,plain,
( ! [X0,X1] : meet(X0,join(X1,X0)) = X0
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f53,f65]) ).
fof(f170,plain,
( ! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(X1,X0))
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f132,f21]) ).
fof(f171,plain,
( ! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = join(meet(X0,X2),X0)
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f132,f53]) ).
fof(f321,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f160,f127,f60,f56,f24,f319]) ).
fof(f319,plain,
( spl0_22
<=> ! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f160,plain,
( ! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f141,f159]) ).
fof(f159,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = X0
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f140,f73]) ).
fof(f73,plain,
( ! [X0,X1] : join(X0,meet(X1,X0)) = X0
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f57,f61]) ).
fof(f140,plain,
( ! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(X1,X0))
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f128,f25]) ).
fof(f141,plain,
( ! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = meet(join(X0,X2),X0)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f128,f57]) ).
fof(f273,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f75,f64,f52,f271]) ).
fof(f271,plain,
( spl0_21
<=> ! [X0,X1] : meet(X0,join(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f269,plain,
( spl0_20
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f73,f60,f56,f267]) ).
fof(f267,plain,
( spl0_20
<=> ! [X0,X1] : join(X0,meet(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f219,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f194,f131,f64,f52,f20,f217]) ).
fof(f215,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f159,f127,f60,f56,f24,f213]) ).
fof(f204,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f71,f56,f47,f201]) ).
fof(f71,plain,
( zz = join(zz,meet(yy,xx))
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f57,f49]) ).
fof(f133,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f131]) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f129,plain,
spl0_15,
inference(avatar_split_clause,[],[f9,f127]) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f107,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f68,f52,f42,f104]) ).
fof(f104,plain,
( spl0_14
<=> zz = meet(zz,join(yy,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f68,plain,
( zz = meet(zz,join(yy,xx))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f53,f44]) ).
fof(f84,plain,
spl0_13,
inference(avatar_split_clause,[],[f8,f82]) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f80,plain,
spl0_12,
inference(avatar_split_clause,[],[f7,f78]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f66,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f64]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f62,plain,
spl0_10,
inference(avatar_split_clause,[],[f5,f60]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f58,plain,
spl0_9,
inference(avatar_split_clause,[],[f4,f56]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f54,plain,
spl0_8,
inference(avatar_split_clause,[],[f3,f52]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f50,plain,
( spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f35,f47]) ).
fof(f35,plain,
( spl0_5
<=> meet(xx,yy) = meet(xx,zz) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f40,plain,
( meet(zz,xx) = meet(yy,xx)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f39,f5]) ).
fof(f39,plain,
( meet(xx,yy) = meet(zz,xx)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f37,f5]) ).
fof(f37,plain,
( meet(xx,yy) = meet(xx,zz)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f45,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f28,f42]) ).
fof(f28,plain,
( spl0_4
<=> join(xx,yy) = join(xx,zz) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f33,plain,
( join(zz,xx) = join(yy,xx)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f32,plain,
( join(xx,yy) = join(zz,xx)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f30,f6]) ).
fof(f30,plain,
( join(xx,yy) = join(xx,zz)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f38,plain,
spl0_5,
inference(avatar_split_clause,[],[f12,f35]) ).
fof(f12,axiom,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
fof(f31,plain,
spl0_4,
inference(avatar_split_clause,[],[f11,f28]) ).
fof(f11,axiom,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
fof(f26,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f24]) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f22,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f20]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f18,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f13,f15]) ).
fof(f13,axiom,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT040-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:35:06 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (26729)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (26732)WARNING: value z3 for option sas not known
% 0.16/0.33 % (26732)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)
% 0.16/0.33 % (26733)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (26735)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)
% 0.16/0.33 % (26730)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (26734)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)
% 0.16/0.33 % (26736)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)
% 0.16/0.33 % (26731)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [4]
% 0.16/0.37 TRYING [4]
% 0.16/0.37 TRYING [5]
% 0.16/0.45 TRYING [5]
% 0.16/0.47 TRYING [6]
% 0.16/0.57 % (26734)First to succeed.
% 0.16/0.57 % (26734)Refutation found. Thanks to Tanya!
% 0.16/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.57 % (26734)------------------------------
% 0.16/0.57 % (26734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.57 % (26734)Termination reason: Refutation
% 0.16/0.57
% 0.16/0.57 % (26734)Memory used [KB]: 4876
% 0.16/0.57 % (26734)Time elapsed: 0.245 s
% 0.16/0.57 % (26734)Instructions burned: 507 (million)
% 0.16/0.57 % (26734)------------------------------
% 0.16/0.57 % (26734)------------------------------
% 0.16/0.57 % (26729)Success in time 0.261 s
%------------------------------------------------------------------------------