TSTP Solution File: GRP192-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP192-1 : 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 : n009.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 11:52:08 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 70
% Syntax : Number of formulae : 213 ( 36 unt; 0 def)
% Number of atoms : 536 ( 157 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 597 ( 274 ~; 270 |; 0 &)
% ( 53 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 55 ( 53 usr; 54 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 308 ( 308 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f30,f34,f38,f42,f46,f50,f54,f58,f77,f81,f85,f89,f132,f136,f140,f144,f217,f259,f272,f276,f310,f314,f318,f322,f326,f456,f490,f495,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f656,f660,f676,f680]) ).
fof(f680,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| ~ spl0_53 ),
inference(equality_resolution,[],[f675]) ).
fof(f675,plain,
( ! [X0] : identity != X0
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl0_53
<=> ! [X0] : identity != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f676,plain,
( spl0_53
| spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f661,f658,f653,f674]) ).
fof(f653,plain,
( spl0_51
<=> identity = multiply(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f658,plain,
( spl0_52
<=> ! [X0,X1] : X0 = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f661,plain,
( ! [X0] : identity != X0
| spl0_51
| ~ spl0_52 ),
inference(superposition,[],[f655,f659]) ).
fof(f659,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f655,plain,
( identity != multiply(a,b)
| spl0_51 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f660,plain,
( spl0_52
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f607,f554,f658]) ).
fof(f554,plain,
( spl0_40
<=> ! [X0] : identity = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f607,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_40 ),
inference(superposition,[],[f555,f555]) ).
fof(f555,plain,
( ! [X0] : identity = X0
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f656,plain,
( ~ spl0_51
| spl0_1
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f625,f554,f19,f653]) ).
fof(f19,plain,
( spl0_1
<=> multiply(a,b) = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f625,plain,
( identity != multiply(a,b)
| spl0_1
| ~ spl0_40 ),
inference(superposition,[],[f21,f555]) ).
fof(f21,plain,
( multiply(a,b) != multiply(b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f605,plain,
( spl0_50
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f121,f83,f52,f603]) ).
fof(f603,plain,
( spl0_50
<=> ! [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_50])]) ).
fof(f52,plain,
( spl0_9
<=> ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f83,plain,
( spl0_13
<=> ! [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_13])]) ).
fof(f121,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_9
| ~ spl0_13 ),
inference(superposition,[],[f84,f53]) ).
fof(f53,plain,
( ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f84,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f600,plain,
( spl0_49
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f106,f79,f52,f598]) ).
fof(f598,plain,
( spl0_49
<=> ! [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_49])]) ).
fof(f79,plain,
( spl0_12
<=> ! [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_12])]) ).
fof(f106,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_9
| ~ spl0_12 ),
inference(superposition,[],[f53,f80]) ).
fof(f80,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f595,plain,
( spl0_48
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f104,f79,f56,f593]) ).
fof(f593,plain,
( spl0_48
<=> ! [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_48])]) ).
fof(f56,plain,
( spl0_10
<=> ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f104,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_10
| ~ spl0_12 ),
inference(superposition,[],[f80,f57]) ).
fof(f57,plain,
( ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f590,plain,
( spl0_47
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f221,f142,f28,f588]) ).
fof(f588,plain,
( spl0_47
<=> ! [X0,X1] : multiply(greatest_lower_bound(X1,identity),X0) = greatest_lower_bound(multiply(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f28,plain,
( spl0_3
<=> ! [X0] : multiply(identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f142,plain,
( spl0_18
<=> ! [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_18])]) ).
fof(f221,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(X1,identity),X0) = greatest_lower_bound(multiply(X1,X0),X0)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f143,f29]) ).
fof(f29,plain,
( ! [X0] : multiply(identity,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f143,plain,
( ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f585,plain,
( spl0_46
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f119,f83,f48,f583]) ).
fof(f583,plain,
( spl0_46
<=> ! [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_46])]) ).
fof(f48,plain,
( spl0_8
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f119,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X0,X1))
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f84,f49]) ).
fof(f49,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f580,plain,
( spl0_45
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f118,f83,f32,f578]) ).
fof(f578,plain,
( spl0_45
<=> ! [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_45])]) ).
fof(f32,plain,
( spl0_4
<=> ! [X0] : least_upper_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f118,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X1)))
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f84,f33]) ).
fof(f33,plain,
( ! [X0] : least_upper_bound(X0,X0) = X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f575,plain,
( spl0_44
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f117,f83,f52,f573]) ).
fof(f573,plain,
( spl0_44
<=> ! [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_44])]) ).
fof(f117,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(greatest_lower_bound(X0,X1),X2)) = least_upper_bound(X0,X2)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f84,f53]) ).
fof(f570,plain,
( spl0_43
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f114,f83,f48,f568]) ).
fof(f568,plain,
( spl0_43
<=> ! [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_43])]) ).
fof(f114,plain,
( ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X1,X0),X2)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f84,f49]) ).
fof(f565,plain,
( spl0_42
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f102,f79,f44,f563]) ).
fof(f563,plain,
( spl0_42
<=> ! [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_42])]) ).
fof(f44,plain,
( spl0_7
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f102,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1))
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f80,f45]) ).
fof(f45,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f560,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f101,f79,f36,f558]) ).
fof(f558,plain,
( spl0_41
<=> ! [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_41])]) ).
fof(f36,plain,
( spl0_5
<=> ! [X0] : greatest_lower_bound(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f101,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X1)))
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f80,f37]) ).
fof(f37,plain,
( ! [X0] : greatest_lower_bound(X0,X0) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f556,plain,
( spl0_40
| ~ spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f496,f493,f87,f554]) ).
fof(f87,plain,
( spl0_14
<=> ! [X0] : least_upper_bound(X0,identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f493,plain,
( spl0_30
<=> ! [X0] : identity = least_upper_bound(X0,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f496,plain,
( ! [X0] : identity = X0
| ~ spl0_14
| ~ spl0_30 ),
inference(superposition,[],[f494,f88]) ).
fof(f88,plain,
( ! [X0] : least_upper_bound(X0,identity) = X0
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f494,plain,
( ! [X0] : identity = least_upper_bound(X0,identity)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f551,plain,
( spl0_39
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f99,f79,f56,f549]) ).
fof(f549,plain,
( spl0_39
<=> ! [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_39])]) ).
fof(f99,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X0,X1),X2)) = greatest_lower_bound(X0,X2)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f80,f57]) ).
fof(f546,plain,
( spl0_38
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f97,f79,f44,f544]) ).
fof(f544,plain,
( spl0_38
<=> ! [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_38])]) ).
fof(f97,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X1,X0),X2)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f80,f45]) ).
fof(f541,plain,
( spl0_37
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f165,f130,f48,f40,f24,f539]) ).
fof(f539,plain,
( spl0_37
<=> ! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),least_upper_bound(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f24,plain,
( spl0_2
<=> ! [X0] : least_upper_bound(identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f40,plain,
( spl0_6
<=> ! [X0] : identity = multiply(inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f130,plain,
( spl0_15
<=> ! [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_15])]) ).
fof(f165,plain,
( ! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),least_upper_bound(X1,X0))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f164,f25]) ).
fof(f25,plain,
( ! [X0] : least_upper_bound(identity,X0) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f164,plain,
( ! [X0,X1] : least_upper_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),least_upper_bound(X1,X0))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f149,f49]) ).
fof(f149,plain,
( ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f131,f41]) ).
fof(f41,plain,
( ! [X0] : identity = multiply(inverse(X0),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f131,plain,
( ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f536,plain,
( spl0_36
| ~ spl0_2
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f160,f130,f40,f24,f534]) ).
fof(f534,plain,
( spl0_36
<=> ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = multiply(inverse(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f160,plain,
( ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = multiply(inverse(X0),X1)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f146,f25]) ).
fof(f146,plain,
( ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f131,f41]) ).
fof(f531,plain,
( spl0_35
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f211,f138,f48,f40,f24,f529]) ).
fof(f529,plain,
( spl0_35
<=> ! [X0,X1] : multiply(X1,X0) = multiply(least_upper_bound(X1,inverse(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f138,plain,
( spl0_17
<=> ! [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_17])]) ).
fof(f211,plain,
( ! [X0,X1] : multiply(X1,X0) = multiply(least_upper_bound(X1,inverse(X0)),X0)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f210,f25]) ).
fof(f210,plain,
( ! [X0,X1] : least_upper_bound(identity,multiply(X1,X0)) = multiply(least_upper_bound(X1,inverse(X0)),X0)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f195,f49]) ).
fof(f195,plain,
( ! [X0,X1] : multiply(least_upper_bound(X1,inverse(X0)),X0) = least_upper_bound(multiply(X1,X0),identity)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f139,f41]) ).
fof(f139,plain,
( ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f526,plain,
( spl0_34
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f208,f138,f40,f24,f524]) ).
fof(f524,plain,
( spl0_34
<=> ! [X0,X1] : multiply(X1,X0) = multiply(least_upper_bound(inverse(X0),X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f208,plain,
( ! [X0,X1] : multiply(X1,X0) = multiply(least_upper_bound(inverse(X0),X1),X0)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f192,f25]) ).
fof(f192,plain,
( ! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0))
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f139,f41]) ).
fof(f521,plain,
( spl0_33
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f113,f83,f32,f519]) ).
fof(f519,plain,
( spl0_33
<=> ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f113,plain,
( ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1))
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f84,f33]) ).
fof(f516,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f96,f79,f36,f514]) ).
fof(f514,plain,
( spl0_32
<=> ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f96,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1))
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f80,f37]) ).
fof(f511,plain,
( spl0_31
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f209,f138,f87,f28,f509]) ).
fof(f509,plain,
( spl0_31
<=> ! [X0,X1] : multiply(X1,X0) = least_upper_bound(multiply(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f209,plain,
( ! [X0,X1] : multiply(X1,X0) = least_upper_bound(multiply(X1,X0),X0)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f194,f88]) ).
fof(f194,plain,
( ! [X0,X1] : multiply(least_upper_bound(X1,identity),X0) = least_upper_bound(multiply(X1,X0),X0)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f139,f29]) ).
fof(f495,plain,
( spl0_30
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_25
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f491,f488,f454,f316,f308,f257,f215,f493]) ).
fof(f215,plain,
( spl0_19
<=> ! [X0] : identity = greatest_lower_bound(identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f257,plain,
( spl0_20
<=> ! [X0,X1] : greatest_lower_bound(X0,multiply(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f308,plain,
( spl0_23
<=> ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f316,plain,
( spl0_25
<=> ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f454,plain,
( spl0_28
<=> ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f488,plain,
( spl0_29
<=> ! [X0,X1] : multiply(X1,X0) = least_upper_bound(X0,multiply(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f491,plain,
( ! [X0] : identity = least_upper_bound(X0,identity)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_25
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f489,f486]) ).
fof(f486,plain,
( ! [X0,X1] : identity = multiply(X0,X1)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_25
| ~ spl0_28 ),
inference(forward_demodulation,[],[f474,f475]) ).
fof(f475,plain,
( ! [X0,X1] : identity = greatest_lower_bound(X0,X1)
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25
| ~ spl0_28 ),
inference(forward_demodulation,[],[f463,f367]) ).
fof(f367,plain,
( ! [X0] : identity = multiply(inverse(X0),identity)
| ~ spl0_19
| ~ spl0_25 ),
inference(superposition,[],[f317,f216]) ).
fof(f216,plain,
( ! [X0] : identity = greatest_lower_bound(identity,X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f317,plain,
( ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X1,X0))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f463,plain,
( ! [X0,X1] : greatest_lower_bound(X0,X1) = multiply(inverse(inverse(X0)),identity)
| ~ spl0_23
| ~ spl0_28 ),
inference(superposition,[],[f455,f309]) ).
fof(f309,plain,
( ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X0,X1))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f455,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f474,plain,
( ! [X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),X1)
| ~ spl0_20
| ~ spl0_28 ),
inference(superposition,[],[f258,f455]) ).
fof(f258,plain,
( ! [X0,X1] : greatest_lower_bound(X0,multiply(X1,X0)) = X0
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f489,plain,
( ! [X0,X1] : multiply(X1,X0) = least_upper_bound(X0,multiply(X1,X0))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f207,f138,f28,f24,f488]) ).
fof(f207,plain,
( ! [X0,X1] : multiply(X1,X0) = least_upper_bound(X0,multiply(X1,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f191,f25]) ).
fof(f191,plain,
( ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0))
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f139,f29]) ).
fof(f456,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f93,f75,f40,f28,f454]) ).
fof(f75,plain,
( spl0_11
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f93,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f91,f29]) ).
fof(f91,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f76,f41]) ).
fof(f76,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f326,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f238,f215,f142,f44,f40,f324]) ).
fof(f324,plain,
( spl0_27
<=> ! [X0,X1] : identity = multiply(greatest_lower_bound(X1,inverse(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f238,plain,
( ! [X0,X1] : identity = multiply(greatest_lower_bound(X1,inverse(X0)),X0)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f237,f216]) ).
fof(f237,plain,
( ! [X0,X1] : greatest_lower_bound(identity,multiply(X1,X0)) = multiply(greatest_lower_bound(X1,inverse(X0)),X0)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f222,f45]) ).
fof(f222,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(X1,inverse(X0)),X0) = greatest_lower_bound(multiply(X1,X0),identity)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f143,f41]) ).
fof(f322,plain,
( spl0_26
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f236,f215,f142,f40,f320]) ).
fof(f320,plain,
( spl0_26
<=> ! [X0,X1] : identity = multiply(greatest_lower_bound(inverse(X0),X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f236,plain,
( ! [X0,X1] : identity = multiply(greatest_lower_bound(inverse(X0),X1),X0)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f219,f216]) ).
fof(f219,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0))
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f143,f41]) ).
fof(f318,plain,
( spl0_25
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f188,f134,f52,f44,f40,f24,f316]) ).
fof(f134,plain,
( spl0_16
<=> ! [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_16])]) ).
fof(f188,plain,
( ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X1,X0))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f187,f66]) ).
fof(f66,plain,
( ! [X0] : identity = greatest_lower_bound(identity,X0)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f53,f25]) ).
fof(f187,plain,
( ! [X0,X1] : greatest_lower_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),greatest_lower_bound(X1,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f172,f45]) ).
fof(f172,plain,
( ! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(multiply(inverse(X0),X1),identity)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f135,f41]) ).
fof(f135,plain,
( ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f314,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f249,f215,f44,f312]) ).
fof(f312,plain,
( spl0_24
<=> ! [X0] : identity = greatest_lower_bound(X0,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f249,plain,
( ! [X0] : identity = greatest_lower_bound(X0,identity)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f216,f45]) ).
fof(f310,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f183,f134,f52,f40,f24,f308]) ).
fof(f183,plain,
( ! [X0,X1] : identity = multiply(inverse(X0),greatest_lower_bound(X0,X1))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f169,f66]) ).
fof(f169,plain,
( ! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1))
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f135,f41]) ).
fof(f276,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f56,f48,f274]) ).
fof(f274,plain,
( spl0_22
<=> ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f70,plain,
( ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f57,f49]) ).
fof(f272,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f64,f52,f44,f270]) ).
fof(f270,plain,
( spl0_21
<=> ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f64,plain,
( ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f53,f45]) ).
fof(f259,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f235,f215,f142,f28,f257]) ).
fof(f235,plain,
( ! [X0,X1] : greatest_lower_bound(X0,multiply(X1,X0)) = X0
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f234,f29]) ).
fof(f234,plain,
( ! [X0,X1] : multiply(identity,X0) = greatest_lower_bound(X0,multiply(X1,X0))
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f218,f216]) ).
fof(f218,plain,
( ! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0))
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f143,f29]) ).
fof(f217,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f66,f52,f24,f215]) ).
fof(f144,plain,
spl0_18,
inference(avatar_split_clause,[],[f15,f142]) ).
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/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f140,plain,
spl0_17,
inference(avatar_split_clause,[],[f14,f138]) ).
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/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f136,plain,
spl0_16,
inference(avatar_split_clause,[],[f13,f134]) ).
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/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f132,plain,
spl0_15,
inference(avatar_split_clause,[],[f12,f130]) ).
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/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f89,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f59,f48,f24,f87]) ).
fof(f59,plain,
( ! [X0] : least_upper_bound(X0,identity) = X0
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f49,f25]) ).
fof(f85,plain,
spl0_13,
inference(avatar_split_clause,[],[f7,f83]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f81,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f79]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f77,plain,
spl0_11,
inference(avatar_split_clause,[],[f3,f75]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f58,plain,
spl0_10,
inference(avatar_split_clause,[],[f11,f56]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f54,plain,
spl0_9,
inference(avatar_split_clause,[],[f10,f52]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f50,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f48]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f46,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f44]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f42,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f40]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f38,plain,
spl0_5,
inference(avatar_split_clause,[],[f9,f36]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_gld) ).
fof(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f32]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_lub) ).
fof(f30,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f28]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f26,plain,
spl0_2,
inference(avatar_split_clause,[],[f16,f24]) ).
fof(f16,axiom,
! [X0] : least_upper_bound(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40a_1) ).
fof(f22,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f17,f19]) ).
fof(f17,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p40a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP192-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:28:11 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (12360)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (12365)WARNING: value z3 for option sas not known
% 0.15/0.37 % (12364)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (12363)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (12365)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)
% 0.15/0.37 % (12367)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)
% 0.15/0.37 % (12368)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)
% 0.15/0.37 % (12369)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)
% 0.15/0.37 % (12366)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (12367)First to succeed.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (12367)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (12367)------------------------------
% 0.15/0.39 % (12367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (12367)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12367)Memory used [KB]: 1102
% 0.15/0.39 % (12367)Time elapsed: 0.023 s
% 0.15/0.39 % (12367)Instructions burned: 35 (million)
% 0.15/0.39 % (12367)------------------------------
% 0.15/0.39 % (12367)------------------------------
% 0.15/0.39 % (12360)Success in time 0.038 s
%------------------------------------------------------------------------------