TSTP Solution File: GRP227-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 05:46:59 EDT 2024
% Result : Unsatisfiable 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 53
% Syntax : Number of formulae : 229 ( 6 unt; 0 def)
% Number of atoms : 697 ( 247 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 883 ( 415 ~; 447 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1531,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f50,f55,f60,f65,f75,f76,f77,f78,f79,f85,f86,f87,f88,f89,f90,f95,f96,f97,f98,f99,f100,f105,f106,f107,f108,f109,f110,f123,f133,f141,f149,f150,f162,f166,f204,f227,f246,f247,f262,f864,f1088,f1126,f1214,f1224,f1285,f1410,f1526,f1530]) ).
fof(f1530,plain,
( ~ spl0_1
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1529,f130,f126,f102,f92,f72,f38,f38]) ).
fof(f38,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f72,plain,
( spl0_8
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f92,plain,
( spl0_10
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f102,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f126,plain,
( spl0_16
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f130,plain,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1529,plain,
( inverse(sk_c1) != sk_c8
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f128,f1469]) ).
fof(f1469,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f1446,f1292]) ).
fof(f1292,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',left_inverse) ).
fof(f1446,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1445,f813]) ).
fof(f813,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f764,f193]) ).
fof(f193,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f183,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',left_identity) ).
fof(f183,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',associativity) ).
fof(f764,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f193,f260]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f3,f255]) ).
fof(f255,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f216,f94]) ).
fof(f94,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f215,f1]) ).
fof(f215,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f104]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f1445,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1441,f1301]) ).
fof(f1301,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f3,f1289]) ).
fof(f1289,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f74,f131]) ).
fof(f131,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f1441,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f214,f1436]) ).
fof(f1436,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1435,f813]) ).
fof(f1435,plain,
( sk_c2 = multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1432,f1155]) ).
fof(f1155,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f524,f813]) ).
fof(f524,plain,
( multiply(sk_c2,identity) = multiply(sk_c3,sk_c2)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f214,f206]) ).
fof(f1432,plain,
( multiply(sk_c3,sk_c1) = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f214,f1292]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f94]) ).
fof(f128,plain,
( sk_c8 != inverse(identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f1526,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1525,f130,f102,f92,f82,f72,f38,f177]) ).
fof(f177,plain,
( spl0_22
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f82,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1525,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1520,f1444]) ).
fof(f1444,plain,
( sk_c8 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1438,f1289]) ).
fof(f1438,plain,
( sk_c3 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f94,f1436]) ).
fof(f1520,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f2,f899]) ).
fof(f899,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f772,f131]) ).
fof(f772,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f193,f84]) ).
fof(f84,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f1410,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1403]) ).
fof(f1403,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1212,f1333]) ).
fof(f1333,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1332,f1221]) ).
fof(f1221,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f44,f131]) ).
fof(f44,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_2
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1332,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1330,f1255]) ).
fof(f1255,plain,
( sk_c8 = sk_c3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1249,f813]) ).
fof(f1249,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f94,f1239]) ).
fof(f1239,plain,
( sk_c3 = sk_c2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1238,f899]) ).
fof(f1238,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f773,f178]) ).
fof(f178,plain,
( identity = sk_c8
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f773,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f193,f206]) ).
fof(f1330,plain,
( ! [X0] : multiply(inverse(sk_c3),X0) = X0
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f193,f813]) ).
fof(f1212,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_17
| spl0_19 ),
inference(forward_demodulation,[],[f157,f131]) ).
fof(f157,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| spl0_19 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_19
<=> sk_c7 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1285,plain,
( ~ spl0_2
| spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1284,plain,
( $false
| ~ spl0_2
| spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1283]) ).
fof(f1283,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f1243,f1221]) ).
fof(f1243,plain,
( sk_c8 != inverse(sk_c8)
| spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f128,f178]) ).
fof(f1224,plain,
( ~ spl0_17
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f1223,f138,f130,f62,f57,f130]) ).
fof(f57,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f62,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f138,plain,
( spl0_18
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1223,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17
| spl0_18 ),
inference(forward_demodulation,[],[f140,f845]) ).
fof(f845,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f787,f193]) ).
fof(f787,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f193,f364]) ).
fof(f364,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f3,f266]) ).
fof(f266,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f251,f131]) ).
fof(f251,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f196,f59]) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f140,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_18 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f1214,plain,
( ~ spl0_17
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f1213,f138,f130,f72,f38,f130]) ).
fof(f1213,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17
| spl0_18 ),
inference(forward_demodulation,[],[f140,f1146]) ).
fof(f1146,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f283,f131]) ).
fof(f283,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f250,f74]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f249,f1]) ).
fof(f249,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f40]) ).
fof(f1126,plain,
( ~ spl0_17
| spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| ~ spl0_17
| spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1117]) ).
fof(f1117,plain,
( sk_c8 != sk_c8
| ~ spl0_17
| spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f1052,f868]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_22 ),
inference(superposition,[],[f1,f178]) ).
fof(f1052,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_17
| spl0_20 ),
inference(forward_demodulation,[],[f161,f131]) ).
fof(f161,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_20 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_20
<=> sk_c7 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1088,plain,
( ~ spl0_17
| spl0_2
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1085,f177,f126,f42,f130]) ).
fof(f1085,plain,
( sk_c8 != sk_c7
| spl0_2
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f43,f998]) ).
fof(f998,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f127,f178]) ).
fof(f127,plain,
( sk_c8 = inverse(identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f43,plain,
( inverse(sk_c8) != sk_c7
| spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f864,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f859,f130,f52,f47,f38,f177]) ).
fof(f47,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f52,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f859,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f2,f758]) ).
fof(f758,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f193,f403]) ).
fof(f403,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f402,f131]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f389,f401]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f400,f250]) ).
fof(f400,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f388,f131]) ).
fof(f388,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f212,f250]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f49]) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f389,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f212,f194]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f262,plain,
( spl0_17
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f259,f102,f92,f82,f130]) ).
fof(f259,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f84,f255]) ).
fof(f247,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f240,f159,f42,f177]) ).
fof(f240,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f168,f232]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f231,f195]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f185,f1]) ).
fof(f185,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f168]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_20 ),
inference(superposition,[],[f3,f160]) ).
fof(f160,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f168,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f2,f44]) ).
fof(f246,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f239,f159,f42,f130]) ).
fof(f239,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f160,f232]) ).
fof(f227,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f222,f52,f47,f42,f159]) ).
fof(f222,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f195,f211]) ).
fof(f211,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f194,f49]) ).
fof(f204,plain,
( ~ spl0_17
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f203,f112,f52,f47,f42,f130]) ).
fof(f112,plain,
( spl0_12
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f203,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f202,f44]) ).
fof(f202,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f200]) ).
fof(f200,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f113,f197]) ).
fof(f197,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f194,f49]) ).
fof(f113,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f166,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f165,f121,f67,f62,f57]) ).
fof(f67,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f121,plain,
( spl0_15
<=> ! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f165,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f164]) ).
fof(f164,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f153,f69]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f153,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f122,f64]) ).
fof(f122,plain,
( ! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != multiply(X7,inverse(X7)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f162,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f151,f121,f42,f159,f155]) ).
fof(f151,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f122,f44]) ).
fof(f150,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f148,f118,f47,f52]) ).
fof(f118,plain,
( spl0_14
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f148,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f119,f49]) ).
fof(f119,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f149,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f144,f118,f130,f126]) ).
fof(f144,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_14 ),
inference(superposition,[],[f119,f1]) ).
fof(f141,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f134,f115,f138,f126]) ).
fof(f115,plain,
( spl0_13
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f134,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_13 ),
inference(superposition,[],[f116,f1]) ).
fof(f116,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f133,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f124,f112,f130,f126]) ).
fof(f124,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_12 ),
inference(superposition,[],[f113,f1]) ).
fof(f123,plain,
( spl0_12
| spl0_13
| ~ spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f121,f118,f42,f115,f112]) ).
fof(f36,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != multiply(X7,inverse(X7))
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(inverse(X7),sk_c8)
| sk_c7 != multiply(X7,inverse(X7))
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c8)
| inverse(X7) != X8
| sk_c7 != multiply(X7,X8)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_31) ).
fof(f110,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f67,f102]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_30) ).
fof(f109,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f62,f102]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_29) ).
fof(f108,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f57,f102]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_28) ).
fof(f107,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f52,f102]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_27) ).
fof(f106,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f47,f102]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_26) ).
fof(f105,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f42,f102]) ).
fof(f28,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_25) ).
fof(f100,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f67,f92]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_24) ).
fof(f99,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f62,f92]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_23) ).
fof(f98,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f57,f92]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_22) ).
fof(f97,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f52,f92]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_21) ).
fof(f96,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f47,f92]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_20) ).
fof(f95,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f42,f92]) ).
fof(f22,axiom,
( inverse(sk_c8) = sk_c7
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_19) ).
fof(f90,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f67,f82]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_18) ).
fof(f89,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f62,f82]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_17) ).
fof(f88,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f57,f82]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_16) ).
fof(f87,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f52,f82]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_15) ).
fof(f86,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f47,f82]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_14) ).
fof(f85,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f42,f82]) ).
fof(f16,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_13) ).
fof(f79,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f62,f72]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_11) ).
fof(f78,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f57,f72]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_10) ).
fof(f77,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f52,f72]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_9) ).
fof(f76,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f47,f72]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_8) ).
fof(f75,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f42,f72]) ).
fof(f10,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_7) ).
fof(f65,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f62,f38]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_5) ).
fof(f60,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f57,f38]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_4) ).
fof(f55,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f52,f38]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_3) ).
fof(f50,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f47,f38]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_2) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f42,f38]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:50:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.R7WknCqFMU/Vampire---4.8_9831
% 0.54/0.74 % (10228)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.74 % (10221)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74 % (10223)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (10224)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.74 % (10226)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.74 % (10225)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74 % (10222)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.74 % (10228)Refutation not found, incomplete strategy% (10228)------------------------------
% 0.54/0.74 % (10228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (10227)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.74 % (10228)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (10228)Memory used [KB]: 984
% 0.54/0.74 % (10228)Time elapsed: 0.002 s
% 0.54/0.74 % (10228)Instructions burned: 4 (million)
% 0.54/0.74 % (10228)------------------------------
% 0.54/0.74 % (10228)------------------------------
% 0.54/0.75 % (10221)Refutation not found, incomplete strategy% (10221)------------------------------
% 0.54/0.75 % (10221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10221)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10221)Memory used [KB]: 998
% 0.54/0.75 % (10221)Time elapsed: 0.003 s
% 0.54/0.75 % (10221)Instructions burned: 4 (million)
% 0.54/0.75 % (10224)Refutation not found, incomplete strategy% (10224)------------------------------
% 0.54/0.75 % (10224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10224)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10224)Memory used [KB]: 981
% 0.54/0.75 % (10224)Time elapsed: 0.004 s
% 0.54/0.75 % (10224)Instructions burned: 4 (million)
% 0.54/0.75 % (10221)------------------------------
% 0.54/0.75 % (10221)------------------------------
% 0.54/0.75 % (10225)Refutation not found, incomplete strategy% (10225)------------------------------
% 0.54/0.75 % (10225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (10225)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (10225)Memory used [KB]: 999
% 0.54/0.75 % (10225)Time elapsed: 0.004 s
% 0.54/0.75 % (10225)Instructions burned: 4 (million)
% 0.54/0.75 % (10224)------------------------------
% 0.54/0.75 % (10224)------------------------------
% 0.54/0.75 % (10225)------------------------------
% 0.54/0.75 % (10225)------------------------------
% 0.60/0.75 % (10230)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.75 % (10231)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.75 % (10232)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.75 % (10233)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.75 % (10231)Refutation not found, incomplete strategy% (10231)------------------------------
% 0.60/0.75 % (10231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (10231)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (10231)Memory used [KB]: 991
% 0.60/0.75 % (10231)Time elapsed: 0.004 s
% 0.60/0.75 % (10231)Instructions burned: 5 (million)
% 0.60/0.75 % (10231)------------------------------
% 0.60/0.75 % (10231)------------------------------
% 0.62/0.76 % (10233)Refutation not found, incomplete strategy% (10233)------------------------------
% 0.62/0.76 % (10233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (10233)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (10233)Memory used [KB]: 1056
% 0.62/0.76 % (10233)Time elapsed: 0.005 s
% 0.62/0.76 % (10233)Instructions burned: 6 (million)
% 0.62/0.76 % (10233)------------------------------
% 0.62/0.76 % (10233)------------------------------
% 0.62/0.76 % (10238)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.62/0.76 % (10240)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.62/0.76 % (10240)Refutation not found, incomplete strategy% (10240)------------------------------
% 0.62/0.76 % (10240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (10240)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (10240)Memory used [KB]: 1004
% 0.62/0.76 % (10240)Time elapsed: 0.003 s
% 0.62/0.76 % (10240)Instructions burned: 4 (million)
% 0.62/0.76 % (10240)------------------------------
% 0.62/0.76 % (10240)------------------------------
% 0.62/0.76 % (10230)Instruction limit reached!
% 0.62/0.76 % (10230)------------------------------
% 0.62/0.76 % (10230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (10230)Termination reason: Unknown
% 0.62/0.76 % (10230)Termination phase: Saturation
% 0.62/0.76
% 0.62/0.76 % (10230)Memory used [KB]: 1596
% 0.62/0.76 % (10230)Time elapsed: 0.017 s
% 0.62/0.76 % (10230)Instructions burned: 56 (million)
% 0.62/0.76 % (10230)------------------------------
% 0.62/0.76 % (10230)------------------------------
% 0.62/0.77 % (10226)Instruction limit reached!
% 0.62/0.77 % (10226)------------------------------
% 0.62/0.77 % (10226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (10226)Termination reason: Unknown
% 0.62/0.77 % (10226)Termination phase: Saturation
% 0.62/0.77
% 0.62/0.77 % (10226)Memory used [KB]: 1479
% 0.62/0.77 % (10226)Time elapsed: 0.023 s
% 0.62/0.77 % (10226)Instructions burned: 46 (million)
% 0.62/0.77 % (10226)------------------------------
% 0.62/0.77 % (10226)------------------------------
% 0.62/0.77 % (10244)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.62/0.77 % (10243)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.62/0.77 % (10244)Refutation not found, incomplete strategy% (10244)------------------------------
% 0.62/0.77 % (10244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (10244)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (10244)Memory used [KB]: 985
% 0.62/0.77 % (10244)Time elapsed: 0.002 s
% 0.62/0.77 % (10244)Instructions burned: 4 (million)
% 0.62/0.77 % (10244)------------------------------
% 0.62/0.77 % (10244)------------------------------
% 0.62/0.77 % (10222)First to succeed.
% 0.62/0.77 % (10245)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.62/0.77 % (10222)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10072"
% 0.62/0.77 % (10222)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (10222)------------------------------
% 0.62/0.77 % (10222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (10222)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (10222)Memory used [KB]: 1393
% 0.62/0.77 % (10222)Time elapsed: 0.028 s
% 0.62/0.77 % (10222)Instructions burned: 48 (million)
% 0.62/0.77 % (10072)Success in time 0.394 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------