TSTP Solution File: GRP248-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP248-1 : 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 : n017.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 05:47:04 EDT 2024
% Result : Unsatisfiable 0.99s 0.85s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 99
% Syntax : Number of formulae : 421 ( 39 unt; 0 def)
% Number of atoms : 1336 ( 332 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1647 ( 732 ~; 885 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 31 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1422,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f129,f134,f139,f144,f149,f154,f159,f160,f161,f162,f163,f164,f165,f172,f173,f174,f175,f176,f181,f182,f183,f184,f185,f186,f187,f192,f193,f194,f195,f196,f197,f198,f203,f204,f205,f206,f207,f208,f209,f228,f308,f320,f324,f363,f393,f406,f420,f469,f477,f483,f614,f730,f765,f767,f797,f820,f823,f844,f893,f1288,f1314,f1334,f1374,f1394,f1404,f1409]) ).
fof(f1409,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_66 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1408,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_66 ),
inference(subsumption_resolution,[],[f1407,f47]) ).
fof(f47,plain,
~ sP0(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1407,plain,
( sP0(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_66 ),
inference(forward_demodulation,[],[f892,f1173]) ).
fof(f1173,plain,
( identity = sk_c9
| ~ spl25_1
| ~ spl25_9 ),
inference(forward_demodulation,[],[f1123,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',left_inverse) ).
fof(f1123,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl25_1
| ~ spl25_9 ),
inference(superposition,[],[f534,f866]) ).
fof(f866,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl25_1
| ~ spl25_9 ),
inference(superposition,[],[f537,f840]) ).
fof(f840,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl25_1 ),
inference(backward_demodulation,[],[f62,f119]) ).
fof(f119,plain,
( sk_c9 = sF13
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl25_1
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f62,plain,
multiply(sk_c1,sk_c10) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f537,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl25_9 ),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',left_identity) ).
fof(f521,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl25_9 ),
inference(superposition,[],[f3,f478]) ).
fof(f478,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl25_9 ),
inference(backward_demodulation,[],[f423,f158]) ).
fof(f158,plain,
( sk_c10 = sF20
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl25_9
<=> sk_c10 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f423,plain,
identity = multiply(sF20,sk_c1),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
inverse(sk_c1) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',associativity) ).
fof(f534,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f517,f1]) ).
fof(f517,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f892,plain,
( sP0(identity)
| ~ spl25_66 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl25_66
<=> sP0(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_66])]) ).
fof(f1404,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_34 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_34 ),
inference(subsumption_resolution,[],[f1402,f49]) ).
fof(f49,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1402,plain,
( sP2(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_34 ),
inference(forward_demodulation,[],[f319,f1235]) ).
fof(f1235,plain,
( sk_c9 = sk_c8
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1233,f876]) ).
fof(f876,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f536,f848]) ).
fof(f848,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl25_13 ),
inference(forward_demodulation,[],[f108,f202]) ).
fof(f202,plain,
( sk_c10 = sF24
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl25_13
<=> sk_c10 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f108,plain,
multiply(sk_c3,sk_c8) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f536,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl25_12 ),
inference(forward_demodulation,[],[f520,f1]) ).
fof(f520,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl25_12 ),
inference(superposition,[],[f3,f470]) ).
fof(f470,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl25_12 ),
inference(backward_demodulation,[],[f428,f191]) ).
fof(f191,plain,
( sk_c10 = sF23
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl25_12
<=> sk_c10 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f428,plain,
identity = multiply(sF23,sk_c3),
inference(superposition,[],[f2,f100]) ).
fof(f100,plain,
inverse(sk_c3) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f1233,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f840,f1219]) ).
fof(f1219,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1163,f1214]) ).
fof(f1214,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1196,f1174]) ).
fof(f1174,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_1
| ~ spl25_9 ),
inference(backward_demodulation,[],[f1,f1173]) ).
fof(f1196,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(backward_demodulation,[],[f918,f1174]) ).
fof(f918,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f3,f911]) ).
fof(f911,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f873,f846]) ).
fof(f846,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl25_10 ),
inference(forward_demodulation,[],[f84,f169]) ).
fof(f169,plain,
( sk_c8 = sF21
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl25_10
<=> sk_c8 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f84,plain,
multiply(sk_c2,sk_c9) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f873,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl25_11 ),
inference(forward_demodulation,[],[f872,f1]) ).
fof(f872,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl25_11 ),
inference(superposition,[],[f3,f830]) ).
fof(f830,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl25_11 ),
inference(backward_demodulation,[],[f427,f180]) ).
fof(f180,plain,
( sk_c9 = sF22
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl25_11
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f427,plain,
identity = multiply(sF22,sk_c2),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
inverse(sk_c2) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f1163,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl25_9
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f869,f1160]) ).
fof(f1160,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c1,X0)
| ~ spl25_9
| ~ spl25_12 ),
inference(forward_demodulation,[],[f1120,f1119]) ).
fof(f1119,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),X0)
| ~ spl25_9 ),
inference(superposition,[],[f534,f537]) ).
fof(f1120,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c10),X0)
| ~ spl25_12 ),
inference(superposition,[],[f534,f536]) ).
fof(f869,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl25_13 ),
inference(superposition,[],[f3,f848]) ).
fof(f319,plain,
( sP2(sk_c8)
| ~ spl25_34 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl25_34
<=> sP2(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_34])]) ).
fof(f1394,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_33 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1393,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_33 ),
inference(subsumption_resolution,[],[f1392,f50]) ).
fof(f50,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1392,plain,
( sP3(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_33 ),
inference(forward_demodulation,[],[f1391,f1368]) ).
fof(f1368,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1350,f1321]) ).
fof(f1321,plain,
( sk_c9 = sk_c2
| ~ spl25_1
| ~ spl25_9
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1320,f1175]) ).
fof(f1175,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl25_1
| ~ spl25_9 ),
inference(backward_demodulation,[],[f2,f1173]) ).
fof(f1320,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1131,f1173]) ).
fof(f1131,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl25_11 ),
inference(superposition,[],[f534,f830]) ).
fof(f1350,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1349,f1191]) ).
fof(f1191,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl25_1
| ~ spl25_9 ),
inference(backward_demodulation,[],[f1150,f1173]) ).
fof(f1150,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f1114,f1115]) ).
fof(f1115,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f534,f534]) ).
fof(f1114,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f534,f2]) ).
fof(f1349,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1142,f1235]) ).
fof(f1142,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl25_10 ),
inference(superposition,[],[f534,f846]) ).
fof(f1391,plain,
( sP3(inverse(sk_c9))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_33 ),
inference(forward_demodulation,[],[f315,f1173]) ).
fof(f315,plain,
( sP3(inverse(identity))
| ~ spl25_33 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl25_33
<=> sP3(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).
fof(f1374,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(subsumption_resolution,[],[f1372,f48]) ).
fof(f48,plain,
~ sP1(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1372,plain,
( sP1(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(forward_demodulation,[],[f1258,f1368]) ).
fof(f1258,plain,
( sP1(inverse(sk_c9))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(forward_demodulation,[],[f1222,f1235]) ).
fof(f1222,plain,
( sP1(inverse(sk_c8))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_65 ),
inference(backward_demodulation,[],[f888,f1214]) ).
fof(f888,plain,
( sP1(multiply(sk_c8,inverse(sk_c8)))
| ~ spl25_65 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f886,plain,
( spl25_65
<=> sP1(multiply(sk_c8,inverse(sk_c8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_65])]) ).
fof(f1334,plain,
( ~ spl25_1
| ~ spl25_4
| spl25_5
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1333,plain,
( $false
| ~ spl25_1
| ~ spl25_4
| spl25_5
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(subsumption_resolution,[],[f1332,f137]) ).
fof(f137,plain,
( sk_c9 != sF16
| spl25_5 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl25_5
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f1332,plain,
( sk_c9 = sF16
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1331,f1235]) ).
fof(f1331,plain,
( sk_c8 = sF16
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(forward_demodulation,[],[f1330,f1174]) ).
fof(f1330,plain,
( sk_c8 = multiply(sk_c9,sF16)
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(forward_demodulation,[],[f1329,f1278]) ).
fof(f1278,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(backward_demodulation,[],[f233,f1277]) ).
fof(f1277,plain,
( sk_c9 = sk_c5
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(forward_demodulation,[],[f1180,f1174]) ).
fof(f1180,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(backward_demodulation,[],[f425,f1173]) ).
fof(f425,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl25_4 ),
inference(superposition,[],[f2,f233]) ).
fof(f233,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl25_4 ),
inference(backward_demodulation,[],[f66,f133]) ).
fof(f133,plain,
( sk_c9 = sF15
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl25_4
<=> sk_c9 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f66,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1329,plain,
( sk_c8 = multiply(inverse(sk_c9),sF16)
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9 ),
inference(forward_demodulation,[],[f1135,f1277]) ).
fof(f1135,plain,
sk_c8 = multiply(inverse(sk_c5),sF16),
inference(superposition,[],[f534,f68]) ).
fof(f68,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1314,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f1312,f52]) ).
fof(f52,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1312,plain,
( sP5(sk_c10)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(backward_demodulation,[],[f1010,f1309]) ).
fof(f1309,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f479,f1308]) ).
fof(f1308,plain,
( sk_c1 = sk_c10
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1307,f1260]) ).
fof(f1260,plain,
( sk_c1 = sk_c3
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1259,f1174]) ).
fof(f1259,plain,
( sk_c1 = multiply(sk_c9,sk_c3)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1223,f1235]) ).
fof(f1223,plain,
( sk_c1 = multiply(sk_c8,sk_c3)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12 ),
inference(backward_demodulation,[],[f1103,f1214]) ).
fof(f1103,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c8,sk_c1)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12 ),
inference(forward_demodulation,[],[f1101,f868]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl25_10 ),
inference(superposition,[],[f3,f846]) ).
fof(f1101,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c2,multiply(sk_c9,sk_c1))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12 ),
inference(superposition,[],[f868,f972]) ).
fof(f972,plain,
( multiply(sk_c9,sk_c1) = multiply(sk_c9,sk_c3)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_12 ),
inference(forward_demodulation,[],[f938,f935]) ).
fof(f935,plain,
( multiply(sk_c9,sk_c1) = multiply(sk_c1,identity)
| ~ spl25_1
| ~ spl25_9 ),
inference(superposition,[],[f867,f478]) ).
fof(f867,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl25_1 ),
inference(superposition,[],[f3,f840]) ).
fof(f938,plain,
( multiply(sk_c1,identity) = multiply(sk_c9,sk_c3)
| ~ spl25_1
| ~ spl25_12 ),
inference(superposition,[],[f867,f470]) ).
fof(f1307,plain,
( sk_c10 = sk_c3
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1306,f1191]) ).
fof(f1306,plain,
( sk_c3 = multiply(sk_c10,sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1305,f1173]) ).
fof(f1305,plain,
( sk_c3 = multiply(sk_c10,identity)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1125,f1230]) ).
fof(f1230,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c10),X0)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1119,f1219]) ).
fof(f1125,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl25_12 ),
inference(superposition,[],[f534,f470]) ).
fof(f479,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl25_9 ),
inference(backward_demodulation,[],[f76,f158]) ).
fof(f1010,plain,
( sP5(inverse(sk_c10))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f1008,f51]) ).
fof(f51,plain,
~ sP4(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1008,plain,
( sP4(sk_c10)
| sP5(inverse(sk_c10))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_17 ),
inference(superposition,[],[f221,f866]) ).
fof(f221,plain,
( ! [X6] :
( sP4(multiply(X6,sk_c9))
| sP5(inverse(X6)) )
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl25_17
<=> ! [X6] :
( sP4(multiply(X6,sk_c9))
| sP5(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f1288,plain,
( ~ spl25_1
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1287,plain,
( $false
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(subsumption_resolution,[],[f1284,f48]) ).
fof(f1284,plain,
( sP1(sk_c9)
| ~ spl25_1
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_65 ),
inference(backward_demodulation,[],[f1258,f1278]) ).
fof(f893,plain,
( spl25_65
| spl25_66
| ~ spl25_19 ),
inference(avatar_split_clause,[],[f883,f226,f890,f886]) ).
fof(f226,plain,
( spl25_19
<=> ! [X8] :
( sP0(multiply(inverse(X8),sk_c8))
| sP1(multiply(X8,inverse(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).
fof(f883,plain,
( sP0(identity)
| sP1(multiply(sk_c8,inverse(sk_c8)))
| ~ spl25_19 ),
inference(superposition,[],[f227,f2]) ).
fof(f227,plain,
( ! [X8] :
( sP0(multiply(inverse(X8),sk_c8))
| sP1(multiply(X8,inverse(X8))) )
| ~ spl25_19 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f844,plain,
( ~ spl25_9
| ~ spl25_46 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| ~ spl25_9
| ~ spl25_46 ),
inference(subsumption_resolution,[],[f842,f57]) ).
fof(f57,plain,
~ sP10(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f842,plain,
( sP10(sk_c10)
| ~ spl25_9
| ~ spl25_46 ),
inference(forward_demodulation,[],[f392,f158]) ).
fof(f392,plain,
( sP10(sF20)
| ~ spl25_46 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl25_46
<=> sP10(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_46])]) ).
fof(f823,plain,
( ~ spl25_12
| ~ spl25_50 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl25_12
| ~ spl25_50 ),
inference(subsumption_resolution,[],[f821,f54]) ).
fof(f54,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f821,plain,
( sP7(sk_c10)
| ~ spl25_12
| ~ spl25_50 ),
inference(forward_demodulation,[],[f419,f191]) ).
fof(f419,plain,
( sP7(sF23)
| ~ spl25_50 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl25_50
<=> sP7(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_50])]) ).
fof(f820,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(subsumption_resolution,[],[f818,f57]) ).
fof(f818,plain,
( sP10(sk_c10)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_demodulation,[],[f817,f235]) ).
fof(f235,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl25_2 ),
inference(backward_demodulation,[],[f61,f123]) ).
fof(f123,plain,
( sk_c10 = sF12
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl25_2
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f61,plain,
inverse(sk_c4) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f817,plain,
( sP10(inverse(sk_c4))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(subsumption_resolution,[],[f816,f58]) ).
fof(f58,plain,
~ sP11(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f816,plain,
( sP11(sk_c9)
| sP10(inverse(sk_c4))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_demodulation,[],[f814,f621]) ).
fof(f621,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl25_2
| ~ spl25_3 ),
inference(superposition,[],[f535,f617]) ).
fof(f617,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl25_3 ),
inference(backward_demodulation,[],[f64,f128]) ).
fof(f128,plain,
( sk_c10 = sF14
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl25_3
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f64,plain,
multiply(sk_c4,sk_c9) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl25_2 ),
inference(forward_demodulation,[],[f519,f1]) ).
fof(f519,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl25_2 ),
inference(superposition,[],[f3,f424]) ).
fof(f424,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl25_2 ),
inference(superposition,[],[f2,f235]) ).
fof(f814,plain,
( sP11(multiply(sk_c10,sk_c10))
| sP10(inverse(sk_c4))
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(superposition,[],[f212,f719]) ).
fof(f719,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,X0)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f618,f718]) ).
fof(f718,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f689,f717]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_demodulation,[],[f713,f689]) ).
fof(f713,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f540,f707]) ).
fof(f707,plain,
( sk_c9 = sk_c7
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_demodulation,[],[f700,f671]) ).
fof(f671,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl25_6
| ~ spl25_7 ),
inference(superposition,[],[f540,f231]) ).
fof(f231,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl25_6 ),
inference(backward_demodulation,[],[f70,f143]) ).
fof(f143,plain,
( sk_c9 = sF17
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl25_6
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f70,plain,
multiply(sk_c6,sk_c7) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f700,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f229,f696]) ).
fof(f696,plain,
( sk_c9 = sk_c8
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f695,f231]) ).
fof(f695,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f690,f578]) ).
fof(f578,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl25_4
| ~ spl25_5 ),
inference(superposition,[],[f538,f232]) ).
fof(f232,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl25_5 ),
inference(backward_demodulation,[],[f68,f138]) ).
fof(f138,plain,
( sk_c9 = sF16
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f538,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl25_4 ),
inference(forward_demodulation,[],[f522,f1]) ).
fof(f522,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl25_4 ),
inference(superposition,[],[f3,f425]) ).
fof(f690,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c9,sk_c9)
| ~ spl25_6
| ~ spl25_7 ),
inference(superposition,[],[f526,f671]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl25_6 ),
inference(superposition,[],[f3,f231]) ).
fof(f229,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl25_8 ),
inference(backward_demodulation,[],[f74,f153]) ).
fof(f153,plain,
( sk_c9 = sF19
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl25_8
<=> sk_c9 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f74,plain,
multiply(sk_c7,sk_c8) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f540,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl25_7 ),
inference(forward_demodulation,[],[f528,f1]) ).
fof(f528,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl25_7 ),
inference(superposition,[],[f3,f426]) ).
fof(f426,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl25_7 ),
inference(superposition,[],[f2,f230]) ).
fof(f230,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl25_7 ),
inference(backward_demodulation,[],[f72,f148]) ).
fof(f148,plain,
( sk_c7 = sF18
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl25_7
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f72,plain,
inverse(sk_c6) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f689,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl25_6
| ~ spl25_7 ),
inference(superposition,[],[f526,f540]) ).
fof(f618,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl25_3 ),
inference(backward_demodulation,[],[f524,f128]) ).
fof(f524,plain,
! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sF14,X0),
inference(superposition,[],[f3,f64]) ).
fof(f212,plain,
( ! [X3] :
( sP11(multiply(X3,sk_c10))
| sP10(inverse(X3)) )
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl25_14
<=> ! [X3] :
( sP10(inverse(X3))
| sP11(multiply(X3,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
fof(f797,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_16 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f795,f53]) ).
fof(f53,plain,
~ sP6(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f795,plain,
( sP6(sk_c10)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_16 ),
inference(forward_demodulation,[],[f794,f727]) ).
fof(f727,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f617,f719]) ).
fof(f794,plain,
( sP6(multiply(sk_c10,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_16 ),
inference(forward_demodulation,[],[f793,f719]) ).
fof(f793,plain,
( sP6(multiply(sk_c4,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f788,f54]) ).
fof(f788,plain,
( sP7(sk_c10)
| sP6(multiply(sk_c4,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_16 ),
inference(superposition,[],[f774,f235]) ).
fof(f774,plain,
( ! [X5] :
( sP7(inverse(X5))
| sP6(multiply(X5,sk_c9)) )
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_16 ),
inference(forward_demodulation,[],[f218,f696]) ).
fof(f218,plain,
( ! [X5] :
( sP6(multiply(X5,sk_c8))
| sP7(inverse(X5)) )
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl25_16
<=> ! [X5] :
( sP6(multiply(X5,sk_c8))
| sP7(inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
fof(f767,plain,
( ~ spl25_23
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f697,f146,f141,f136,f131,f253]) ).
fof(f253,plain,
( spl25_23
<=> sP9(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
fof(f697,plain,
( ~ sP9(sk_c9)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(backward_demodulation,[],[f56,f696]) ).
fof(f56,plain,
~ sP9(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f765,plain,
( spl25_23
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f764,f214,f151,f146,f141,f136,f131,f253]) ).
fof(f214,plain,
( spl25_15
<=> ! [X4] :
( sP8(inverse(X4))
| sP9(multiply(X4,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f764,plain,
( sP9(sk_c9)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_15 ),
inference(subsumption_resolution,[],[f763,f55]) ).
fof(f55,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f763,plain,
( sP8(sk_c9)
| sP9(sk_c9)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_15 ),
inference(forward_demodulation,[],[f625,f732]) ).
fof(f732,plain,
( sk_c9 = inverse(identity)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f233,f723]) ).
fof(f723,plain,
( identity = sk_c5
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8 ),
inference(backward_demodulation,[],[f425,f718]) ).
fof(f625,plain,
( sP9(sk_c9)
| sP8(inverse(identity))
| ~ spl25_15 ),
inference(superposition,[],[f215,f1]) ).
fof(f215,plain,
( ! [X4] :
( sP9(multiply(X4,sk_c9))
| sP8(inverse(X4)) )
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f730,plain,
( ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_10
| ~ spl25_11 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f729,plain,
( $false
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| spl25_10
| ~ spl25_11 ),
inference(subsumption_resolution,[],[f728,f699]) ).
fof(f699,plain,
( sk_c9 != sF21
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| spl25_10 ),
inference(backward_demodulation,[],[f168,f696]) ).
fof(f168,plain,
( sk_c8 != sF21
| spl25_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f728,plain,
( sk_c9 = sF21
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_11 ),
inference(backward_demodulation,[],[f84,f722]) ).
fof(f722,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_11 ),
inference(backward_demodulation,[],[f539,f718]) ).
fof(f539,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl25_11 ),
inference(forward_demodulation,[],[f523,f1]) ).
fof(f523,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl25_11 ),
inference(superposition,[],[f3,f472]) ).
fof(f472,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl25_11 ),
inference(backward_demodulation,[],[f427,f180]) ).
fof(f614,plain,
( ~ spl25_11
| ~ spl25_48 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl25_11
| ~ spl25_48 ),
inference(subsumption_resolution,[],[f612,f55]) ).
fof(f612,plain,
( sP8(sk_c9)
| ~ spl25_11
| ~ spl25_48 ),
inference(forward_demodulation,[],[f405,f180]) ).
fof(f405,plain,
( sP8(sF22)
| ~ spl25_48 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl25_48
<=> sP8(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_48])]) ).
fof(f483,plain,
( ~ spl25_1
| ~ spl25_45 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl25_1
| ~ spl25_45 ),
inference(subsumption_resolution,[],[f480,f58]) ).
fof(f480,plain,
( sP11(sk_c9)
| ~ spl25_1
| ~ spl25_45 ),
inference(backward_demodulation,[],[f388,f119]) ).
fof(f388,plain,
( sP11(sF13)
| ~ spl25_45 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl25_45
<=> sP11(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_45])]) ).
fof(f477,plain,
( ~ spl25_10
| ~ spl25_47 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl25_10
| ~ spl25_47 ),
inference(subsumption_resolution,[],[f474,f56]) ).
fof(f474,plain,
( sP9(sk_c8)
| ~ spl25_10
| ~ spl25_47 ),
inference(backward_demodulation,[],[f401,f169]) ).
fof(f401,plain,
( sP9(sF21)
| ~ spl25_47 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl25_47
<=> sP9(sF21) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_47])]) ).
fof(f469,plain,
( ~ spl25_13
| ~ spl25_49 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl25_13
| ~ spl25_49 ),
inference(subsumption_resolution,[],[f466,f53]) ).
fof(f466,plain,
( sP6(sk_c10)
| ~ spl25_13
| ~ spl25_49 ),
inference(backward_demodulation,[],[f415,f202]) ).
fof(f415,plain,
( sP6(sF24)
| ~ spl25_49 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl25_49
<=> sP6(sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_49])]) ).
fof(f420,plain,
( spl25_49
| spl25_50
| ~ spl25_16 ),
inference(avatar_split_clause,[],[f411,f217,f417,f413]) ).
fof(f411,plain,
( sP7(sF23)
| sP6(sF24)
| ~ spl25_16 ),
inference(forward_demodulation,[],[f410,f100]) ).
fof(f410,plain,
( sP6(sF24)
| sP7(inverse(sk_c3))
| ~ spl25_16 ),
inference(superposition,[],[f218,f108]) ).
fof(f406,plain,
( spl25_47
| spl25_48
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f397,f214,f403,f399]) ).
fof(f397,plain,
( sP8(sF22)
| sP9(sF21)
| ~ spl25_15 ),
inference(forward_demodulation,[],[f396,f92]) ).
fof(f396,plain,
( sP9(sF21)
| sP8(inverse(sk_c2))
| ~ spl25_15 ),
inference(superposition,[],[f215,f84]) ).
fof(f393,plain,
( spl25_45
| spl25_46
| ~ spl25_14 ),
inference(avatar_split_clause,[],[f384,f211,f390,f386]) ).
fof(f384,plain,
( sP10(sF20)
| sP11(sF13)
| ~ spl25_14 ),
inference(forward_demodulation,[],[f383,f76]) ).
fof(f383,plain,
( sP11(sF13)
| sP10(inverse(sk_c1))
| ~ spl25_14 ),
inference(superposition,[],[f212,f62]) ).
fof(f363,plain,
( ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_19 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f361,f48]) ).
fof(f361,plain,
( sP1(sk_c9)
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_19 ),
inference(forward_demodulation,[],[f360,f231]) ).
fof(f360,plain,
( sP1(multiply(sk_c6,sk_c7))
| ~ spl25_7
| ~ spl25_8
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f359,f47]) ).
fof(f359,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c6,sk_c7))
| ~ spl25_7
| ~ spl25_8
| ~ spl25_19 ),
inference(forward_demodulation,[],[f329,f229]) ).
fof(f329,plain,
( sP0(multiply(sk_c7,sk_c8))
| sP1(multiply(sk_c6,sk_c7))
| ~ spl25_7
| ~ spl25_19 ),
inference(superposition,[],[f227,f230]) ).
fof(f324,plain,
( ~ spl25_4
| ~ spl25_5
| ~ spl25_18 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| ~ spl25_4
| ~ spl25_5
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f322,f50]) ).
fof(f322,plain,
( sP3(sk_c9)
| ~ spl25_4
| ~ spl25_5
| ~ spl25_18 ),
inference(forward_demodulation,[],[f321,f233]) ).
fof(f321,plain,
( sP3(inverse(sk_c5))
| ~ spl25_5
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f310,f49]) ).
fof(f310,plain,
( sP2(sk_c9)
| sP3(inverse(sk_c5))
| ~ spl25_5
| ~ spl25_18 ),
inference(superposition,[],[f224,f232]) ).
fof(f224,plain,
( ! [X7] :
( sP2(multiply(X7,sk_c8))
| sP3(inverse(X7)) )
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl25_18
<=> ! [X7] :
( sP2(multiply(X7,sk_c8))
| sP3(inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f320,plain,
( spl25_33
| spl25_34
| ~ spl25_18 ),
inference(avatar_split_clause,[],[f309,f223,f317,f313]) ).
fof(f309,plain,
( sP2(sk_c8)
| sP3(inverse(identity))
| ~ spl25_18 ),
inference(superposition,[],[f224,f1]) ).
fof(f308,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f306,f52]) ).
fof(f306,plain,
( sP5(sk_c10)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_17 ),
inference(forward_demodulation,[],[f305,f235]) ).
fof(f305,plain,
( sP5(inverse(sk_c4))
| ~ spl25_3
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f295,f51]) ).
fof(f295,plain,
( sP4(sk_c10)
| sP5(inverse(sk_c4))
| ~ spl25_3
| ~ spl25_17 ),
inference(superposition,[],[f221,f234]) ).
fof(f234,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl25_3 ),
inference(backward_demodulation,[],[f64,f128]) ).
fof(f228,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19 ),
inference(avatar_split_clause,[],[f60,f226,f223,f220,f217,f214,f211]) ).
fof(f60,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(multiply(inverse(X8),sk_c8))
| sP1(multiply(X8,inverse(X8)))
| sP2(multiply(X7,sk_c8))
| sP3(inverse(X7))
| sP4(multiply(X6,sk_c9))
| sP5(inverse(X6))
| sP6(multiply(X5,sk_c8))
| sP7(inverse(X5))
| sP8(inverse(X4))
| sP9(multiply(X4,sk_c9))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c10)) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sP0(multiply(X9,sk_c8))
| inverse(X8) != X9
| sP1(multiply(X8,X9))
| sP2(multiply(X7,sk_c8))
| sP3(inverse(X7))
| sP4(multiply(X6,sk_c9))
| sP5(inverse(X6))
| sP6(multiply(X5,sk_c8))
| sP7(inverse(X5))
| sP8(inverse(X4))
| sP9(multiply(X4,sk_c9))
| sP10(inverse(X3))
| sP11(multiply(X3,sk_c10)) ),
inference(inequality_splitting,[],[f46,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X9,sk_c8)
| inverse(X8) != X9
| sk_c9 != multiply(X8,X9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_43) ).
fof(f209,plain,
( spl25_13
| spl25_8 ),
inference(avatar_split_clause,[],[f115,f151,f200]) ).
fof(f115,plain,
( sk_c9 = sF19
| sk_c10 = sF24 ),
inference(definition_folding,[],[f45,f108,f74]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_42) ).
fof(f208,plain,
( spl25_13
| spl25_7 ),
inference(avatar_split_clause,[],[f114,f146,f200]) ).
fof(f114,plain,
( sk_c7 = sF18
| sk_c10 = sF24 ),
inference(definition_folding,[],[f44,f108,f72]) ).
fof(f44,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_41) ).
fof(f207,plain,
( spl25_13
| spl25_6 ),
inference(avatar_split_clause,[],[f113,f141,f200]) ).
fof(f113,plain,
( sk_c9 = sF17
| sk_c10 = sF24 ),
inference(definition_folding,[],[f43,f108,f70]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_40) ).
fof(f206,plain,
( spl25_13
| spl25_5 ),
inference(avatar_split_clause,[],[f112,f136,f200]) ).
fof(f112,plain,
( sk_c9 = sF16
| sk_c10 = sF24 ),
inference(definition_folding,[],[f42,f108,f68]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_39) ).
fof(f205,plain,
( spl25_13
| spl25_4 ),
inference(avatar_split_clause,[],[f111,f131,f200]) ).
fof(f111,plain,
( sk_c9 = sF15
| sk_c10 = sF24 ),
inference(definition_folding,[],[f41,f108,f66]) ).
fof(f41,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_38) ).
fof(f204,plain,
( spl25_13
| spl25_3 ),
inference(avatar_split_clause,[],[f110,f126,f200]) ).
fof(f110,plain,
( sk_c10 = sF14
| sk_c10 = sF24 ),
inference(definition_folding,[],[f40,f108,f64]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_37) ).
fof(f203,plain,
( spl25_13
| spl25_2 ),
inference(avatar_split_clause,[],[f109,f121,f200]) ).
fof(f109,plain,
( sk_c10 = sF12
| sk_c10 = sF24 ),
inference(definition_folding,[],[f39,f108,f61]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_36) ).
fof(f198,plain,
( spl25_12
| spl25_8 ),
inference(avatar_split_clause,[],[f107,f151,f189]) ).
fof(f107,plain,
( sk_c9 = sF19
| sk_c10 = sF23 ),
inference(definition_folding,[],[f38,f100,f74]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_35) ).
fof(f197,plain,
( spl25_12
| spl25_7 ),
inference(avatar_split_clause,[],[f106,f146,f189]) ).
fof(f106,plain,
( sk_c7 = sF18
| sk_c10 = sF23 ),
inference(definition_folding,[],[f37,f100,f72]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_34) ).
fof(f196,plain,
( spl25_12
| spl25_6 ),
inference(avatar_split_clause,[],[f105,f141,f189]) ).
fof(f105,plain,
( sk_c9 = sF17
| sk_c10 = sF23 ),
inference(definition_folding,[],[f36,f100,f70]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_33) ).
fof(f195,plain,
( spl25_12
| spl25_5 ),
inference(avatar_split_clause,[],[f104,f136,f189]) ).
fof(f104,plain,
( sk_c9 = sF16
| sk_c10 = sF23 ),
inference(definition_folding,[],[f35,f100,f68]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_32) ).
fof(f194,plain,
( spl25_12
| spl25_4 ),
inference(avatar_split_clause,[],[f103,f131,f189]) ).
fof(f103,plain,
( sk_c9 = sF15
| sk_c10 = sF23 ),
inference(definition_folding,[],[f34,f100,f66]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_31) ).
fof(f193,plain,
( spl25_12
| spl25_3 ),
inference(avatar_split_clause,[],[f102,f126,f189]) ).
fof(f102,plain,
( sk_c10 = sF14
| sk_c10 = sF23 ),
inference(definition_folding,[],[f33,f100,f64]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_30) ).
fof(f192,plain,
( spl25_12
| spl25_2 ),
inference(avatar_split_clause,[],[f101,f121,f189]) ).
fof(f101,plain,
( sk_c10 = sF12
| sk_c10 = sF23 ),
inference(definition_folding,[],[f32,f100,f61]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_29) ).
fof(f187,plain,
( spl25_11
| spl25_8 ),
inference(avatar_split_clause,[],[f99,f151,f178]) ).
fof(f99,plain,
( sk_c9 = sF19
| sk_c9 = sF22 ),
inference(definition_folding,[],[f31,f92,f74]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_28) ).
fof(f186,plain,
( spl25_11
| spl25_7 ),
inference(avatar_split_clause,[],[f98,f146,f178]) ).
fof(f98,plain,
( sk_c7 = sF18
| sk_c9 = sF22 ),
inference(definition_folding,[],[f30,f92,f72]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_27) ).
fof(f185,plain,
( spl25_11
| spl25_6 ),
inference(avatar_split_clause,[],[f97,f141,f178]) ).
fof(f97,plain,
( sk_c9 = sF17
| sk_c9 = sF22 ),
inference(definition_folding,[],[f29,f92,f70]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_26) ).
fof(f184,plain,
( spl25_11
| spl25_5 ),
inference(avatar_split_clause,[],[f96,f136,f178]) ).
fof(f96,plain,
( sk_c9 = sF16
| sk_c9 = sF22 ),
inference(definition_folding,[],[f28,f92,f68]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_25) ).
fof(f183,plain,
( spl25_11
| spl25_4 ),
inference(avatar_split_clause,[],[f95,f131,f178]) ).
fof(f95,plain,
( sk_c9 = sF15
| sk_c9 = sF22 ),
inference(definition_folding,[],[f27,f92,f66]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_24) ).
fof(f182,plain,
( spl25_11
| spl25_3 ),
inference(avatar_split_clause,[],[f94,f126,f178]) ).
fof(f94,plain,
( sk_c10 = sF14
| sk_c9 = sF22 ),
inference(definition_folding,[],[f26,f92,f64]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_23) ).
fof(f181,plain,
( spl25_11
| spl25_2 ),
inference(avatar_split_clause,[],[f93,f121,f178]) ).
fof(f93,plain,
( sk_c10 = sF12
| sk_c9 = sF22 ),
inference(definition_folding,[],[f25,f92,f61]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_22) ).
fof(f176,plain,
( spl25_10
| spl25_8 ),
inference(avatar_split_clause,[],[f91,f151,f167]) ).
fof(f91,plain,
( sk_c9 = sF19
| sk_c8 = sF21 ),
inference(definition_folding,[],[f24,f84,f74]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_21) ).
fof(f175,plain,
( spl25_10
| spl25_7 ),
inference(avatar_split_clause,[],[f90,f146,f167]) ).
fof(f90,plain,
( sk_c7 = sF18
| sk_c8 = sF21 ),
inference(definition_folding,[],[f23,f84,f72]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_20) ).
fof(f174,plain,
( spl25_10
| spl25_6 ),
inference(avatar_split_clause,[],[f89,f141,f167]) ).
fof(f89,plain,
( sk_c9 = sF17
| sk_c8 = sF21 ),
inference(definition_folding,[],[f22,f84,f70]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_19) ).
fof(f173,plain,
( spl25_10
| spl25_5 ),
inference(avatar_split_clause,[],[f88,f136,f167]) ).
fof(f88,plain,
( sk_c9 = sF16
| sk_c8 = sF21 ),
inference(definition_folding,[],[f21,f84,f68]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_18) ).
fof(f172,plain,
( spl25_10
| spl25_4 ),
inference(avatar_split_clause,[],[f87,f131,f167]) ).
fof(f87,plain,
( sk_c9 = sF15
| sk_c8 = sF21 ),
inference(definition_folding,[],[f20,f84,f66]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_17) ).
fof(f165,plain,
( spl25_9
| spl25_8 ),
inference(avatar_split_clause,[],[f83,f151,f156]) ).
fof(f83,plain,
( sk_c9 = sF19
| sk_c10 = sF20 ),
inference(definition_folding,[],[f17,f76,f74]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_14) ).
fof(f164,plain,
( spl25_9
| spl25_7 ),
inference(avatar_split_clause,[],[f82,f146,f156]) ).
fof(f82,plain,
( sk_c7 = sF18
| sk_c10 = sF20 ),
inference(definition_folding,[],[f16,f76,f72]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_13) ).
fof(f163,plain,
( spl25_9
| spl25_6 ),
inference(avatar_split_clause,[],[f81,f141,f156]) ).
fof(f81,plain,
( sk_c9 = sF17
| sk_c10 = sF20 ),
inference(definition_folding,[],[f15,f76,f70]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_12) ).
fof(f162,plain,
( spl25_9
| spl25_5 ),
inference(avatar_split_clause,[],[f80,f136,f156]) ).
fof(f80,plain,
( sk_c9 = sF16
| sk_c10 = sF20 ),
inference(definition_folding,[],[f14,f76,f68]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_11) ).
fof(f161,plain,
( spl25_9
| spl25_4 ),
inference(avatar_split_clause,[],[f79,f131,f156]) ).
fof(f79,plain,
( sk_c9 = sF15
| sk_c10 = sF20 ),
inference(definition_folding,[],[f13,f76,f66]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_10) ).
fof(f160,plain,
( spl25_9
| spl25_3 ),
inference(avatar_split_clause,[],[f78,f126,f156]) ).
fof(f78,plain,
( sk_c10 = sF14
| sk_c10 = sF20 ),
inference(definition_folding,[],[f12,f76,f64]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_9) ).
fof(f159,plain,
( spl25_9
| spl25_2 ),
inference(avatar_split_clause,[],[f77,f121,f156]) ).
fof(f77,plain,
( sk_c10 = sF12
| sk_c10 = sF20 ),
inference(definition_folding,[],[f11,f76,f61]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_8) ).
fof(f154,plain,
( spl25_1
| spl25_8 ),
inference(avatar_split_clause,[],[f75,f151,f117]) ).
fof(f75,plain,
( sk_c9 = sF19
| sk_c9 = sF13 ),
inference(definition_folding,[],[f10,f62,f74]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_7) ).
fof(f149,plain,
( spl25_1
| spl25_7 ),
inference(avatar_split_clause,[],[f73,f146,f117]) ).
fof(f73,plain,
( sk_c7 = sF18
| sk_c9 = sF13 ),
inference(definition_folding,[],[f9,f62,f72]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_6) ).
fof(f144,plain,
( spl25_1
| spl25_6 ),
inference(avatar_split_clause,[],[f71,f141,f117]) ).
fof(f71,plain,
( sk_c9 = sF17
| sk_c9 = sF13 ),
inference(definition_folding,[],[f8,f62,f70]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_5) ).
fof(f139,plain,
( spl25_1
| spl25_5 ),
inference(avatar_split_clause,[],[f69,f136,f117]) ).
fof(f69,plain,
( sk_c9 = sF16
| sk_c9 = sF13 ),
inference(definition_folding,[],[f7,f62,f68]) ).
fof(f7,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_4) ).
fof(f134,plain,
( spl25_1
| spl25_4 ),
inference(avatar_split_clause,[],[f67,f131,f117]) ).
fof(f67,plain,
( sk_c9 = sF15
| sk_c9 = sF13 ),
inference(definition_folding,[],[f6,f62,f66]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_3) ).
fof(f129,plain,
( spl25_1
| spl25_3 ),
inference(avatar_split_clause,[],[f65,f126,f117]) ).
fof(f65,plain,
( sk_c10 = sF14
| sk_c9 = sF13 ),
inference(definition_folding,[],[f5,f62,f64]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_2) ).
fof(f124,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f63,f121,f117]) ).
fof(f63,plain,
( sk_c10 = sF12
| sk_c9 = sF13 ),
inference(definition_folding,[],[f4,f62,f61]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.LQ4xgNIgoL/Vampire---4.8_8990',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:39:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.20/0.36 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.LQ4xgNIgoL/Vampire---4.8_8990
% 0.56/0.74 % (9243)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)
% 0.56/0.74 % (9245)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (9246)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)
% 0.56/0.74 % (9247)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)
% 0.56/0.74 % (9244)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)
% 0.56/0.74 % (9248)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)
% 0.56/0.74 % (9250)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)
% 0.56/0.74 % (9249)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)
% 0.56/0.74 % (9243)Refutation not found, incomplete strategy% (9243)------------------------------
% 0.56/0.74 % (9243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9243)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9243)Memory used [KB]: 1009
% 0.56/0.74 % (9243)Time elapsed: 0.003 s
% 0.56/0.74 % (9243)Instructions burned: 4 (million)
% 0.56/0.74 % (9243)------------------------------
% 0.56/0.74 % (9243)------------------------------
% 0.56/0.74 % (9246)Refutation not found, incomplete strategy% (9246)------------------------------
% 0.56/0.74 % (9246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9250)Refutation not found, incomplete strategy% (9250)------------------------------
% 0.56/0.74 % (9250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9250)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9250)Memory used [KB]: 1011
% 0.56/0.74 % (9250)Time elapsed: 0.004 s
% 0.56/0.74 % (9250)Instructions burned: 4 (million)
% 0.56/0.74 % (9246)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9246)Memory used [KB]: 992
% 0.56/0.74 % (9246)Time elapsed: 0.004 s
% 0.56/0.74 % (9246)Instructions burned: 4 (million)
% 0.56/0.74 % (9247)Refutation not found, incomplete strategy% (9247)------------------------------
% 0.56/0.74 % (9247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9247)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9247)Memory used [KB]: 1090
% 0.56/0.74 % (9250)------------------------------
% 0.56/0.74 % (9250)------------------------------
% 0.56/0.74 % (9247)Time elapsed: 0.004 s
% 0.56/0.74 % (9247)Instructions burned: 5 (million)
% 0.56/0.74 % (9246)------------------------------
% 0.56/0.74 % (9246)------------------------------
% 0.56/0.74 % (9247)------------------------------
% 0.56/0.74 % (9247)------------------------------
% 0.56/0.74 % (9251)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)
% 0.56/0.75 % (9253)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)
% 0.56/0.75 % (9254)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)
% 0.56/0.75 % (9252)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)
% 0.59/0.75 % (9252)Refutation not found, incomplete strategy% (9252)------------------------------
% 0.59/0.75 % (9252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (9252)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (9252)Memory used [KB]: 998
% 0.59/0.75 % (9252)Time elapsed: 0.005 s
% 0.59/0.75 % (9252)Instructions burned: 7 (million)
% 0.59/0.75 % (9252)------------------------------
% 0.59/0.75 % (9252)------------------------------
% 0.59/0.76 % (9255)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)
% 0.59/0.76 % (9251)Instruction limit reached!
% 0.59/0.76 % (9251)------------------------------
% 0.59/0.76 % (9251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9251)Termination reason: Unknown
% 0.59/0.76 % (9251)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (9251)Memory used [KB]: 1680
% 0.59/0.76 % (9251)Time elapsed: 0.016 s
% 0.59/0.76 % (9251)Instructions burned: 57 (million)
% 0.59/0.76 % (9251)------------------------------
% 0.59/0.76 % (9251)------------------------------
% 0.59/0.76 % (9256)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)
% 0.59/0.76 % (9248)Instruction limit reached!
% 0.59/0.76 % (9248)------------------------------
% 0.59/0.76 % (9248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9248)Termination reason: Unknown
% 0.59/0.76 % (9248)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (9248)Memory used [KB]: 1565
% 0.59/0.76 % (9248)Time elapsed: 0.025 s
% 0.59/0.76 % (9248)Instructions burned: 47 (million)
% 0.59/0.76 % (9248)------------------------------
% 0.59/0.76 % (9248)------------------------------
% 0.59/0.76 % (9256)Refutation not found, incomplete strategy% (9256)------------------------------
% 0.59/0.76 % (9256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9256)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (9256)Memory used [KB]: 1030
% 0.59/0.76 % (9256)Time elapsed: 0.002 s
% 0.59/0.76 % (9256)Instructions burned: 4 (million)
% 0.59/0.76 % (9256)------------------------------
% 0.59/0.76 % (9256)------------------------------
% 0.59/0.77 % (9257)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)
% 0.59/0.77 % (9258)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)
% 0.59/0.77 % (9258)Refutation not found, incomplete strategy% (9258)------------------------------
% 0.59/0.77 % (9258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9258)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (9258)Memory used [KB]: 1012
% 0.59/0.77 % (9258)Time elapsed: 0.002 s
% 0.59/0.77 % (9244)Instruction limit reached!
% 0.59/0.77 % (9244)------------------------------
% 0.59/0.77 % (9244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9244)Termination reason: Unknown
% 0.59/0.77 % (9244)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9244)Memory used [KB]: 1598
% 0.59/0.77 % (9244)Time elapsed: 0.032 s
% 0.59/0.77 % (9244)Instructions burned: 51 (million)
% 0.59/0.77 % (9244)------------------------------
% 0.59/0.77 % (9244)------------------------------
% 0.59/0.77 % (9258)Instructions burned: 4 (million)
% 0.59/0.77 % (9258)------------------------------
% 0.59/0.77 % (9258)------------------------------
% 0.59/0.77 % (9254)Instruction limit reached!
% 0.59/0.77 % (9254)------------------------------
% 0.59/0.77 % (9254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9254)Termination reason: Unknown
% 0.59/0.77 % (9254)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9254)Memory used [KB]: 1684
% 0.59/0.77 % (9254)Time elapsed: 0.027 s
% 0.59/0.77 % (9254)Instructions burned: 54 (million)
% 0.59/0.77 % (9254)------------------------------
% 0.59/0.77 % (9254)------------------------------
% 0.59/0.77 % (9259)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)
% 0.59/0.77 % (9257)Refutation not found, incomplete strategy% (9257)------------------------------
% 0.59/0.77 % (9257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9257)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (9257)Memory used [KB]: 1082
% 0.59/0.77 % (9257)Time elapsed: 0.008 s
% 0.59/0.77 % (9257)Instructions burned: 11 (million)
% 0.59/0.77 % (9257)------------------------------
% 0.59/0.77 % (9257)------------------------------
% 0.59/0.77 % (9259)Refutation not found, incomplete strategy% (9259)------------------------------
% 0.59/0.77 % (9259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9259)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (9259)Memory used [KB]: 1011
% 0.59/0.77 % (9259)Time elapsed: 0.002 s
% 0.59/0.77 % (9259)Instructions burned: 4 (million)
% 0.59/0.77 % (9259)------------------------------
% 0.59/0.77 % (9259)------------------------------
% 0.59/0.77 % (9261)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.78 % (9262)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.78 % (9245)Instruction limit reached!
% 0.59/0.78 % (9245)------------------------------
% 0.59/0.78 % (9245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9245)Termination reason: Unknown
% 0.59/0.78 % (9245)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9245)Memory used [KB]: 2060
% 0.59/0.78 % (9245)Time elapsed: 0.039 s
% 0.59/0.78 % (9245)Instructions burned: 79 (million)
% 0.59/0.78 % (9245)------------------------------
% 0.59/0.78 % (9245)------------------------------
% 0.59/0.78 % (9261)Refutation not found, incomplete strategy% (9261)------------------------------
% 0.59/0.78 % (9261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9261)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (9261)Memory used [KB]: 1011
% 0.59/0.78 % (9261)Time elapsed: 0.004 s
% 0.59/0.78 % (9261)Instructions burned: 4 (million)
% 0.59/0.78 % (9260)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.59/0.78 % (9261)------------------------------
% 0.59/0.78 % (9261)------------------------------
% 0.59/0.78 % (9263)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.59/0.78 % (9265)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.59/0.78 % (9249)Instruction limit reached!
% 0.59/0.78 % (9249)------------------------------
% 0.59/0.78 % (9249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9249)Termination reason: Unknown
% 0.59/0.78 % (9249)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9249)Memory used [KB]: 1851
% 0.59/0.78 % (9249)Time elapsed: 0.044 s
% 0.59/0.78 % (9249)Instructions burned: 83 (million)
% 0.59/0.78 % (9249)------------------------------
% 0.59/0.78 % (9249)------------------------------
% 0.59/0.78 % (9264)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.78 % (9262)Instruction limit reached!
% 0.59/0.78 % (9262)------------------------------
% 0.59/0.78 % (9262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9262)Termination reason: Unknown
% 0.59/0.78 % (9262)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9262)Memory used [KB]: 1347
% 0.59/0.78 % (9262)Time elapsed: 0.010 s
% 0.59/0.78 % (9262)Instructions burned: 32 (million)
% 0.59/0.78 % (9262)------------------------------
% 0.59/0.78 % (9262)------------------------------
% 0.59/0.79 % (9264)Refutation not found, incomplete strategy% (9264)------------------------------
% 0.59/0.79 % (9264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (9264)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (9264)Memory used [KB]: 1092
% 0.59/0.79 % (9264)Time elapsed: 0.005 s
% 0.59/0.79 % (9264)Instructions burned: 6 (million)
% 0.59/0.79 % (9264)------------------------------
% 0.59/0.79 % (9264)------------------------------
% 0.59/0.79 % (9266)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.59/0.79 % (9266)Refutation not found, incomplete strategy% (9266)------------------------------
% 0.59/0.79 % (9266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (9266)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (9266)Memory used [KB]: 1082
% 0.59/0.79 % (9266)Time elapsed: 0.002 s
% 0.59/0.79 % (9266)Instructions burned: 4 (million)
% 0.59/0.79 % (9266)------------------------------
% 0.59/0.79 % (9266)------------------------------
% 0.59/0.79 % (9268)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.59/0.79 % (9267)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.59/0.79 % (9269)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.59/0.80 % (9265)Instruction limit reached!
% 0.59/0.80 % (9265)------------------------------
% 0.59/0.80 % (9265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (9265)Termination reason: Unknown
% 0.59/0.80 % (9265)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (9265)Memory used [KB]: 1180
% 0.59/0.80 % (9265)Time elapsed: 0.026 s
% 0.59/0.80 % (9265)Instructions burned: 53 (million)
% 0.59/0.80 % (9265)------------------------------
% 0.59/0.80 % (9265)------------------------------
% 0.59/0.81 % (9268)Instruction limit reached!
% 0.59/0.81 % (9268)------------------------------
% 0.59/0.81 % (9268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (9268)Termination reason: Unknown
% 0.59/0.81 % (9268)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (9268)Memory used [KB]: 1164
% 0.59/0.81 % (9268)Time elapsed: 0.019 s
% 0.59/0.81 % (9268)Instructions burned: 35 (million)
% 0.59/0.81 % (9268)------------------------------
% 0.59/0.81 % (9268)------------------------------
% 0.59/0.81 % (9270)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.59/0.81 % (9271)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.59/0.81 % (9271)Refutation not found, incomplete strategy% (9271)------------------------------
% 0.59/0.81 % (9271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (9271)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (9271)Memory used [KB]: 988
% 0.59/0.81 % (9271)Time elapsed: 0.004 s
% 0.59/0.81 % (9271)Instructions burned: 4 (million)
% 0.59/0.81 % (9271)------------------------------
% 0.59/0.81 % (9271)------------------------------
% 0.59/0.82 % (9267)Instruction limit reached!
% 0.59/0.82 % (9267)------------------------------
% 0.59/0.82 % (9267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (9267)Termination reason: Unknown
% 0.59/0.82 % (9267)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (9267)Memory used [KB]: 2352
% 0.59/0.82 % (9267)Time elapsed: 0.031 s
% 0.59/0.82 % (9267)Instructions burned: 103 (million)
% 0.59/0.82 % (9267)------------------------------
% 0.59/0.82 % (9267)------------------------------
% 0.59/0.82 % (9272)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.59/0.82 % (9272)Refutation not found, incomplete strategy% (9272)------------------------------
% 0.59/0.82 % (9272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (9272)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.83
% 0.59/0.83 % (9272)Memory used [KB]: 1096
% 0.59/0.83 % (9272)Time elapsed: 0.002 s
% 0.59/0.83 % (9272)Instructions burned: 5 (million)
% 0.59/0.83 % (9272)------------------------------
% 0.59/0.83 % (9272)------------------------------
% 0.59/0.83 % (9260)Instruction limit reached!
% 0.59/0.83 % (9260)------------------------------
% 0.59/0.83 % (9260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (9260)Termination reason: Unknown
% 0.59/0.83 % (9260)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (9260)Memory used [KB]: 2093
% 0.59/0.83 % (9260)Time elapsed: 0.051 s
% 0.59/0.83 % (9260)Instructions burned: 93 (million)
% 0.59/0.83 % (9260)------------------------------
% 0.59/0.83 % (9260)------------------------------
% 0.59/0.83 % (9273)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.59/0.83 % (9274)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.99/0.84 % (9269)Instruction limit reached!
% 0.99/0.84 % (9269)------------------------------
% 0.99/0.84 % (9269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.84 % (9269)Termination reason: Unknown
% 0.99/0.84 % (9269)Termination phase: Saturation
% 0.99/0.84
% 0.99/0.84 % (9269)Memory used [KB]: 1431
% 0.99/0.84 % (9269)Time elapsed: 0.043 s
% 0.99/0.84 % (9269)Instructions burned: 87 (million)
% 0.99/0.84 % (9269)------------------------------
% 0.99/0.84 % (9269)------------------------------
% 0.99/0.84 % (9276)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.99/0.84 % (9275)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.99/0.84 % (9253)Instruction limit reached!
% 0.99/0.84 % (9253)------------------------------
% 0.99/0.84 % (9253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.84 % (9253)Termination reason: Unknown
% 0.99/0.84 % (9253)Termination phase: Saturation
% 0.99/0.84
% 0.99/0.84 % (9253)Memory used [KB]: 2861
% 0.99/0.84 % (9253)Time elapsed: 0.098 s
% 0.99/0.84 % (9253)Instructions burned: 210 (million)
% 0.99/0.84 % (9253)------------------------------
% 0.99/0.84 % (9253)------------------------------
% 0.99/0.84 % (9274)First to succeed.
% 0.99/0.85 % (9274)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9233"
% 0.99/0.85 % (9274)Refutation found. Thanks to Tanya!
% 0.99/0.85 % SZS status Unsatisfiable for Vampire---4
% 0.99/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.99/0.85 % (9274)------------------------------
% 0.99/0.85 % (9274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.99/0.85 % (9274)Termination reason: Refutation
% 0.99/0.85
% 0.99/0.85 % (9274)Memory used [KB]: 1480
% 0.99/0.85 % (9274)Time elapsed: 0.019 s
% 0.99/0.85 % (9274)Instructions burned: 58 (million)
% 0.99/0.85 % (9233)Success in time 0.469 s
% 0.99/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------