TSTP Solution File: GRP390-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP390-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 : Wed May 1 02:28:49 EDT 2024
% Result : Unsatisfiable 0.77s 0.79s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 81
% Syntax : Number of formulae : 393 ( 36 unt; 0 def)
% Number of atoms : 1433 ( 338 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1933 ( 893 ~;1022 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 19 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1420,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f116,f121,f126,f131,f136,f141,f142,f143,f144,f145,f146,f151,f152,f153,f154,f155,f156,f161,f162,f163,f164,f165,f166,f171,f172,f173,f174,f175,f176,f181,f182,f183,f184,f185,f186,f206,f399,f453,f511,f524,f542,f590,f711,f713,f938,f1257,f1308,f1358,f1385,f1419]) ).
fof(f1419,plain,
( ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1418,plain,
( $false
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f1417,f41]) ).
fof(f41,plain,
~ sP0(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1417,plain,
( sP0(sk_c9)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(forward_demodulation,[],[f1416,f1208]) ).
fof(f1208,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl23_1
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f618,f1198]) ).
fof(f1198,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl23_1
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f617,f1195]) ).
fof(f1195,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f1024,f1194]) ).
fof(f1194,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1183,f1024]) ).
fof(f1183,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f732,f1177]) ).
fof(f1177,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,X0)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1175,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',left_identity) ).
fof(f1175,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f3,f1165]) ).
fof(f1165,plain,
( sk_c8 = multiply(sk_c3,identity)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1163,f1031]) ).
fof(f1031,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl23_10
| ~ spl23_11 ),
inference(forward_demodulation,[],[f1025,f616]) ).
fof(f616,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl23_10 ),
inference(backward_demodulation,[],[f81,f160]) ).
fof(f160,plain,
( sk_c8 = sF20
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl23_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f81,plain,
multiply(sk_c2,sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1025,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c8,sk_c8)
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f615,f1016]) ).
fof(f1016,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f732,f616]) ).
fof(f615,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl23_10 ),
inference(backward_demodulation,[],[f227,f160]) ).
fof(f227,plain,
! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f81]) ).
fof(f1163,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,identity)
| ~ spl23_1
| ~ spl23_12 ),
inference(superposition,[],[f611,f622]) ).
fof(f622,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl23_1 ),
inference(backward_demodulation,[],[f213,f106]) ).
fof(f106,plain,
( sk_c7 = sF12
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl23_1
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f213,plain,
identity = multiply(sF12,sk_c8),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
inverse(sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',left_inverse) ).
fof(f611,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl23_12 ),
inference(backward_demodulation,[],[f225,f180]) ).
fof(f180,plain,
( sk_c8 = sF22
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl23_12
<=> sk_c8 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f225,plain,
! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sF22,X0),
inference(superposition,[],[f3,f95]) ).
fof(f95,plain,
multiply(sk_c3,sk_c7) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',associativity) ).
fof(f732,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl23_11 ),
inference(forward_demodulation,[],[f731,f1]) ).
fof(f731,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl23_11 ),
inference(superposition,[],[f3,f613]) ).
fof(f613,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl23_11 ),
inference(backward_demodulation,[],[f218,f170]) ).
fof(f170,plain,
( sk_c3 = sF21
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl23_11
<=> sk_c3 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f218,plain,
identity = multiply(sF21,sk_c2),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
inverse(sk_c2) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1024,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f615,f732]) ).
fof(f617,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl23_9 ),
inference(backward_demodulation,[],[f224,f150]) ).
fof(f150,plain,
( sk_c9 = sF19
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl23_9
<=> sk_c9 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f224,plain,
! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
multiply(sk_c1,sk_c8) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f618,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f74,f150]) ).
fof(f1416,plain,
( sP0(multiply(sk_c9,sk_c8))
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(forward_demodulation,[],[f1415,f1198]) ).
fof(f1415,plain,
( sP0(multiply(sk_c1,sk_c8))
| ~ spl23_8
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f1397,f42]) ).
fof(f42,plain,
~ sP1(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1397,plain,
( sP1(sk_c9)
| sP0(multiply(sk_c1,sk_c8))
| ~ spl23_8
| ~ spl23_18 ),
inference(superposition,[],[f205,f620]) ).
fof(f620,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl23_8 ),
inference(backward_demodulation,[],[f67,f140]) ).
fof(f140,plain,
( sk_c9 = sF18
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl23_8
<=> sk_c9 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f67,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f205,plain,
( ! [X8] :
( sP1(inverse(X8))
| sP0(multiply(X8,sk_c8)) )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl23_18
<=> ! [X8] :
( sP0(multiply(X8,sk_c8))
| sP1(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f1385,plain,
( ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1384,plain,
( $false
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f1383,f49]) ).
fof(f49,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1383,plain,
( sP8(sk_c9)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f1382,f1208]) ).
fof(f1382,plain,
( sP8(multiply(sk_c9,sk_c8))
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f1381,f1198]) ).
fof(f1381,plain,
( sP8(multiply(sk_c1,sk_c8))
| ~ spl23_8
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f1365,f50]) ).
fof(f50,plain,
~ sP9(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1365,plain,
( sP9(sk_c9)
| sP8(multiply(sk_c1,sk_c8))
| ~ spl23_8
| ~ spl23_14 ),
inference(superposition,[],[f193,f620]) ).
fof(f193,plain,
( ! [X3] :
( sP9(inverse(X3))
| sP8(multiply(X3,sk_c8)) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl23_14
<=> ! [X3] :
( sP8(multiply(X3,sk_c8))
| sP9(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f1358,plain,
( ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f1356,f48]) ).
fof(f48,plain,
~ sP7(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1356,plain,
( sP7(sk_c8)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(forward_demodulation,[],[f1355,f1227]) ).
fof(f1227,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f624,f1207]) ).
fof(f1207,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f1190,f1195]) ).
fof(f1190,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1181,f1176]) ).
fof(f1176,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c8,identity)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1174,f1026]) ).
fof(f1026,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
| ~ spl23_10
| ~ spl23_12 ),
inference(superposition,[],[f615,f612]) ).
fof(f612,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl23_12 ),
inference(backward_demodulation,[],[f95,f180]) ).
fof(f1174,plain,
( multiply(sk_c2,sk_c8) = multiply(sk_c8,identity)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f615,f1165]) ).
fof(f1181,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f1165,f1177]) ).
fof(f624,plain,
( inverse(sk_c8) = sk_c7
| ~ spl23_1 ),
inference(backward_demodulation,[],[f55,f106]) ).
fof(f1355,plain,
( sP7(inverse(sk_c8))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(forward_demodulation,[],[f1354,f1195]) ).
fof(f1354,plain,
( sP7(multiply(sk_c8,inverse(sk_c8)))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f1315,f47]) ).
fof(f47,plain,
~ sP6(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1315,plain,
( sP6(sk_c8)
| sP7(multiply(sk_c8,inverse(sk_c8)))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(superposition,[],[f1309,f1212]) ).
fof(f1212,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f2,f1210]) ).
fof(f1210,plain,
( identity = sk_c8
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f622,f1199]) ).
fof(f1199,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f621,f1195]) ).
fof(f621,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl23_1 ),
inference(backward_demodulation,[],[f287,f106]) ).
fof(f287,plain,
! [X0] : multiply(sF12,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f286,f1]) ).
fof(f286,plain,
! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f213]) ).
fof(f1309,plain,
( ! [X4] :
( sP6(multiply(inverse(X4),sk_c8))
| sP7(multiply(X4,inverse(X4))) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(forward_demodulation,[],[f196,f1207]) ).
fof(f196,plain,
( ! [X4] :
( sP6(multiply(inverse(X4),sk_c7))
| sP7(multiply(X4,inverse(X4))) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl23_15
<=> ! [X4] :
( sP6(multiply(inverse(X4),sk_c7))
| sP7(multiply(X4,inverse(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f1308,plain,
( ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f1306,f45]) ).
fof(f45,plain,
~ sP4(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1306,plain,
( sP4(sk_c9)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f1305,f620]) ).
fof(f1305,plain,
( sP4(inverse(sk_c1))
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f1304,f46]) ).
fof(f46,plain,
~ sP5(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1304,plain,
( sP5(sk_c8)
| sP4(inverse(sk_c1))
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f1302,f1020]) ).
fof(f1020,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl23_8
| ~ spl23_9 ),
inference(superposition,[],[f734,f618]) ).
fof(f734,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl23_8 ),
inference(forward_demodulation,[],[f733,f1]) ).
fof(f733,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl23_8 ),
inference(superposition,[],[f3,f619]) ).
fof(f619,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl23_8 ),
inference(backward_demodulation,[],[f217,f140]) ).
fof(f217,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f67]) ).
fof(f1302,plain,
( sP5(multiply(sk_c9,sk_c9))
| sP4(inverse(sk_c1))
| ~ spl23_1
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(superposition,[],[f199,f1198]) ).
fof(f199,plain,
( ! [X6] :
( sP5(multiply(X6,sk_c9))
| sP4(inverse(X6)) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl23_16
<=> ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f1257,plain,
( ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1256,plain,
( $false
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f1255,f1223]) ).
fof(f1223,plain,
( ~ sP3(sk_c8)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f44,f1207]) ).
fof(f44,plain,
~ sP3(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1255,plain,
( sP3(sk_c8)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(forward_demodulation,[],[f1254,f1195]) ).
fof(f1254,plain,
( sP3(multiply(sk_c8,sk_c8))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(forward_demodulation,[],[f1253,f1236]) ).
fof(f1236,plain,
( sk_c8 = sk_c2
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1235,f1210]) ).
fof(f1235,plain,
( identity = sk_c2
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1196,f1195]) ).
fof(f1196,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f1170,f1194]) ).
fof(f1170,plain,
( multiply(sk_c8,sk_c2) = multiply(sk_c2,identity)
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f615,f613]) ).
fof(f1253,plain,
( sP3(multiply(sk_c2,sk_c8))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f1252,f43]) ).
fof(f43,plain,
~ sP2(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1252,plain,
( sP2(sk_c8)
| sP3(multiply(sk_c2,sk_c8))
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(forward_demodulation,[],[f986,f1239]) ).
fof(f1239,plain,
( sk_c8 = sk_c3
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1237,f1227]) ).
fof(f1237,plain,
( inverse(sk_c8) = sk_c3
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f614,f1236]) ).
fof(f614,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl23_11 ),
inference(backward_demodulation,[],[f88,f170]) ).
fof(f986,plain,
( sP2(sk_c3)
| sP3(multiply(sk_c2,sk_c8))
| ~ spl23_11
| ~ spl23_17 ),
inference(superposition,[],[f202,f614]) ).
fof(f202,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c8)) )
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl23_17
<=> ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f938,plain,
( ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(subsumption_resolution,[],[f936,f134]) ).
fof(f134,plain,
( sk_c9 != sF17
| spl23_7 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl23_7
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f936,plain,
( sk_c9 = sF17
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f896,f838]) ).
fof(f838,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_9 ),
inference(backward_demodulation,[],[f618,f799]) ).
fof(f799,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_9 ),
inference(backward_demodulation,[],[f617,f795]) ).
fof(f795,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f791,f250]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl23_4
| ~ spl23_5 ),
inference(superposition,[],[f3,f241]) ).
fof(f241,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_4
| ~ spl23_5 ),
inference(superposition,[],[f234,f210]) ).
fof(f210,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f59,f120]) ).
fof(f120,plain,
( sk_c7 = sF14
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl23_4
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f59,plain,
multiply(sk_c5,sk_c8) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl23_5 ),
inference(forward_demodulation,[],[f233,f1]) ).
fof(f233,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl23_5 ),
inference(superposition,[],[f3,f215]) ).
fof(f215,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl23_5 ),
inference(superposition,[],[f2,f209]) ).
fof(f209,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl23_5 ),
inference(backward_demodulation,[],[f61,f125]) ).
fof(f125,plain,
( sk_c8 = sF15
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl23_5
<=> sk_c8 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f61,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f791,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_1
| ~ spl23_5 ),
inference(backward_demodulation,[],[f234,f786]) ).
fof(f786,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl23_1
| ~ spl23_5 ),
inference(superposition,[],[f621,f234]) ).
fof(f896,plain,
( sF17 = multiply(sk_c9,sk_c8)
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_8
| ~ spl23_9 ),
inference(superposition,[],[f839,f769]) ).
fof(f769,plain,
( sk_c8 = multiply(sk_c9,sF17)
| ~ spl23_6 ),
inference(superposition,[],[f236,f65]) ).
fof(f65,plain,
multiply(sk_c6,sk_c8) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl23_6 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl23_6 ),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl23_6 ),
inference(superposition,[],[f2,f208]) ).
fof(f208,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl23_6 ),
inference(backward_demodulation,[],[f63,f130]) ).
fof(f130,plain,
( sk_c9 = sF16
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl23_6
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f63,plain,
inverse(sk_c6) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f839,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f734,f799]) ).
fof(f713,plain,
( ~ spl23_13
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f623,f104,f188]) ).
fof(f188,plain,
( spl23_13
<=> sP10(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f623,plain,
( ~ sP10(sk_c7)
| ~ spl23_1 ),
inference(backward_demodulation,[],[f102,f106]) ).
fof(f102,plain,
~ sP10(sF12),
inference(definition_folding,[],[f51,f55]) ).
fof(f51,plain,
~ sP10(inverse(sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f711,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f709,f45]) ).
fof(f709,plain,
( sP4(sk_c9)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_16 ),
inference(forward_demodulation,[],[f708,f688]) ).
fof(f688,plain,
( sk_c9 = inverse(sF17)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f211,f687]) ).
fof(f687,plain,
( sk_c4 = sF17
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(forward_demodulation,[],[f683,f663]) ).
fof(f663,plain,
( sF17 = multiply(sk_c4,sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f65,f645]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f273,f637]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f628,f625]) ).
fof(f625,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f621,f293]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f3,f291]) ).
fof(f291,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f288,f210]) ).
fof(f288,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c7,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f223,f281]) ).
fof(f281,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl23_2
| ~ spl23_3 ),
inference(forward_demodulation,[],[f274,f212]) ).
fof(f212,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f54,f110]) ).
fof(f110,plain,
( sk_c8 = sF11
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl23_2
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f54,plain,
multiply(sk_c4,sk_c9) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f274,plain,
( multiply(sk_c4,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f226,f237]) ).
fof(f237,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f232,f212]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl23_3 ),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f231,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl23_3 ),
inference(superposition,[],[f3,f214]) ).
fof(f214,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl23_3 ),
inference(superposition,[],[f2,f211]) ).
fof(f226,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl23_2 ),
inference(superposition,[],[f3,f212]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl23_4 ),
inference(superposition,[],[f3,f210]) ).
fof(f628,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f293,f625]) ).
fof(f273,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl23_2
| ~ spl23_6 ),
inference(superposition,[],[f226,f236]) ).
fof(f683,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f648,f678]) ).
fof(f678,plain,
( identity = sk_c8
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f677,f637]) ).
fof(f677,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f622,f652]) ).
fof(f652,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f210,f642]) ).
fof(f642,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f627,f637]) ).
fof(f627,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f223,f625]) ).
fof(f648,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f276,f637]) ).
fof(f276,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c4,identity)
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f226,f214]) ).
fof(f211,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl23_3 ),
inference(backward_demodulation,[],[f57,f115]) ).
fof(f115,plain,
( sk_c9 = sF13
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl23_3
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f57,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f708,plain,
( sP4(inverse(sF17))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f705,f46]) ).
fof(f705,plain,
( sP5(sk_c8)
| sP4(inverse(sF17))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_16 ),
inference(superposition,[],[f199,f689]) ).
fof(f689,plain,
( sk_c8 = multiply(sF17,sk_c9)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f212,f687]) ).
fof(f590,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f588,f41]) ).
fof(f588,plain,
( sP0(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_18 ),
inference(forward_demodulation,[],[f587,f237]) ).
fof(f587,plain,
( sP0(multiply(sk_c9,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f574,f42]) ).
fof(f574,plain,
( sP1(sk_c9)
| sP0(multiply(sk_c9,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_18 ),
inference(superposition,[],[f205,f406]) ).
fof(f406,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f211,f405]) ).
fof(f405,plain,
( sk_c4 = sk_c9
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f404,f237]) ).
fof(f404,plain,
( sk_c4 = multiply(sk_c9,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f403,f386]) ).
fof(f386,plain,
( identity = sk_c8
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f213,f349]) ).
fof(f349,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f287,f343]) ).
fof(f343,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f335,f226]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f326,f332]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f232,f326]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f321,f234]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f226,f244]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f222,f234]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl23_7 ),
inference(superposition,[],[f3,f207]) ).
fof(f207,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl23_7 ),
inference(backward_demodulation,[],[f65,f135]) ).
fof(f135,plain,
( sk_c9 = sF17
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f403,plain,
( sk_c4 = multiply(sk_c9,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f355,f382]) ).
fof(f382,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f332,f379]) ).
fof(f379,plain,
( sk_c4 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f378,f343]) ).
fof(f378,plain,
( sk_c4 = multiply(sk_c8,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f368,f367]) ).
fof(f367,plain,
( sk_c8 = sk_c7
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f291,f362]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f347,f343]) ).
fof(f347,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f250,f343]) ).
fof(f368,plain,
( sk_c4 = multiply(sk_c7,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f307,f362]) ).
fof(f307,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c4)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(forward_demodulation,[],[f304,f223]) ).
fof(f304,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,multiply(sk_c8,sk_c4))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(superposition,[],[f223,f283]) ).
fof(f283,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c8,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_6 ),
inference(forward_demodulation,[],[f278,f276]) ).
fof(f278,plain,
( multiply(sk_c4,identity) = multiply(sk_c8,sk_c6)
| ~ spl23_2
| ~ spl23_6 ),
inference(superposition,[],[f226,f216]) ).
fof(f355,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f276,f343]) ).
fof(f542,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_17 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f540,f372]) ).
fof(f372,plain,
( ~ sP3(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f44,f367]) ).
fof(f540,plain,
( sP3(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_17 ),
inference(forward_demodulation,[],[f539,f343]) ).
fof(f539,plain,
( sP3(multiply(sk_c8,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f535,f43]) ).
fof(f535,plain,
( sP2(sk_c8)
| sP3(multiply(sk_c8,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_17 ),
inference(superposition,[],[f202,f397]) ).
fof(f397,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f55,f394]) ).
fof(f394,plain,
( sk_c8 = sF12
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f393,f55]) ).
fof(f393,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f370,f386]) ).
fof(f370,plain,
( sk_c8 = inverse(identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f209,f369]) ).
fof(f369,plain,
( identity = sk_c5
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f366,f362]) ).
fof(f366,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f359,f362]) ).
fof(f359,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c7,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f265,f344]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f223,f343]) ).
fof(f265,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,identity)
| ~ spl23_4
| ~ spl23_5 ),
inference(superposition,[],[f223,f215]) ).
fof(f524,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f523,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f522,f45]) ).
fof(f522,plain,
( sP4(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(forward_demodulation,[],[f521,f406]) ).
fof(f521,plain,
( sP4(inverse(sk_c9))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(forward_demodulation,[],[f520,f406]) ).
fof(f520,plain,
( sP4(inverse(inverse(sk_c9)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f513,f46]) ).
fof(f513,plain,
( sP5(sk_c8)
| sP4(inverse(inverse(sk_c9)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7
| ~ spl23_16 ),
inference(superposition,[],[f199,f388]) ).
fof(f388,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f2,f386]) ).
fof(f511,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f510,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f509,f48]) ).
fof(f509,plain,
( sP7(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f508,f397]) ).
fof(f508,plain,
( sP7(inverse(sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f507,f343]) ).
fof(f507,plain,
( sP7(multiply(sk_c8,inverse(sk_c8)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f479,f47]) ).
fof(f479,plain,
( sP6(sk_c8)
| sP7(multiply(sk_c8,inverse(sk_c8)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(superposition,[],[f474,f388]) ).
fof(f474,plain,
( ! [X4] :
( sP6(multiply(inverse(X4),sk_c8))
| sP7(multiply(X4,inverse(X4))) )
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f196,f367]) ).
fof(f453,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f451,f49]) ).
fof(f451,plain,
( sP8(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(forward_demodulation,[],[f450,f237]) ).
fof(f450,plain,
( sP8(multiply(sk_c9,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f437,f50]) ).
fof(f437,plain,
( sP9(sk_c9)
| sP8(multiply(sk_c9,sk_c8))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(superposition,[],[f193,f406]) ).
fof(f399,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_13 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f396,f375]) ).
fof(f375,plain,
( sP10(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7
| ~ spl23_13 ),
inference(backward_demodulation,[],[f190,f367]) ).
fof(f190,plain,
( sP10(sk_c7)
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f396,plain,
( ~ sP10(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f102,f394]) ).
fof(f206,plain,
( spl23_13
| spl23_14
| spl23_15
| spl23_16
| spl23_17
| spl23_18 ),
inference(avatar_split_clause,[],[f53,f204,f201,f198,f195,f192,f188]) ).
fof(f53,plain,
! [X3,X8,X6,X7,X4] :
( sP0(multiply(X8,sk_c8))
| sP1(inverse(X8))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c8))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c9))
| sP6(multiply(inverse(X4),sk_c7))
| sP7(multiply(X4,inverse(X4)))
| sP8(multiply(X3,sk_c8))
| sP9(inverse(X3))
| sP10(sk_c7) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(multiply(X8,sk_c8))
| sP1(inverse(X8))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c8))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c9))
| sP6(multiply(X5,sk_c7))
| inverse(X4) != X5
| sP7(multiply(X4,X5))
| sP8(multiply(X3,sk_c8))
| sP9(inverse(X3))
| sP10(sk_c7) ),
inference(inequality_splitting,[],[f40,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_37) ).
fof(f186,plain,
( spl23_12
| spl23_7 ),
inference(avatar_split_clause,[],[f101,f133,f178]) ).
fof(f101,plain,
( sk_c9 = sF17
| sk_c8 = sF22 ),
inference(definition_folding,[],[f39,f95,f65]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_36) ).
fof(f185,plain,
( spl23_12
| spl23_6 ),
inference(avatar_split_clause,[],[f100,f128,f178]) ).
fof(f100,plain,
( sk_c9 = sF16
| sk_c8 = sF22 ),
inference(definition_folding,[],[f38,f95,f63]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_35) ).
fof(f184,plain,
( spl23_12
| spl23_5 ),
inference(avatar_split_clause,[],[f99,f123,f178]) ).
fof(f99,plain,
( sk_c8 = sF15
| sk_c8 = sF22 ),
inference(definition_folding,[],[f37,f95,f61]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_34) ).
fof(f183,plain,
( spl23_12
| spl23_4 ),
inference(avatar_split_clause,[],[f98,f118,f178]) ).
fof(f98,plain,
( sk_c7 = sF14
| sk_c8 = sF22 ),
inference(definition_folding,[],[f36,f95,f59]) ).
fof(f36,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_33) ).
fof(f182,plain,
( spl23_12
| spl23_3 ),
inference(avatar_split_clause,[],[f97,f113,f178]) ).
fof(f97,plain,
( sk_c9 = sF13
| sk_c8 = sF22 ),
inference(definition_folding,[],[f35,f95,f57]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_32) ).
fof(f181,plain,
( spl23_12
| spl23_2 ),
inference(avatar_split_clause,[],[f96,f108,f178]) ).
fof(f96,plain,
( sk_c8 = sF11
| sk_c8 = sF22 ),
inference(definition_folding,[],[f34,f95,f54]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_31) ).
fof(f176,plain,
( spl23_11
| spl23_7 ),
inference(avatar_split_clause,[],[f94,f133,f168]) ).
fof(f94,plain,
( sk_c9 = sF17
| sk_c3 = sF21 ),
inference(definition_folding,[],[f33,f88,f65]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_30) ).
fof(f175,plain,
( spl23_11
| spl23_6 ),
inference(avatar_split_clause,[],[f93,f128,f168]) ).
fof(f93,plain,
( sk_c9 = sF16
| sk_c3 = sF21 ),
inference(definition_folding,[],[f32,f88,f63]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_29) ).
fof(f174,plain,
( spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f92,f123,f168]) ).
fof(f92,plain,
( sk_c8 = sF15
| sk_c3 = sF21 ),
inference(definition_folding,[],[f31,f88,f61]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_28) ).
fof(f173,plain,
( spl23_11
| spl23_4 ),
inference(avatar_split_clause,[],[f91,f118,f168]) ).
fof(f91,plain,
( sk_c7 = sF14
| sk_c3 = sF21 ),
inference(definition_folding,[],[f30,f88,f59]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_27) ).
fof(f172,plain,
( spl23_11
| spl23_3 ),
inference(avatar_split_clause,[],[f90,f113,f168]) ).
fof(f90,plain,
( sk_c9 = sF13
| sk_c3 = sF21 ),
inference(definition_folding,[],[f29,f88,f57]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_26) ).
fof(f171,plain,
( spl23_11
| spl23_2 ),
inference(avatar_split_clause,[],[f89,f108,f168]) ).
fof(f89,plain,
( sk_c8 = sF11
| sk_c3 = sF21 ),
inference(definition_folding,[],[f28,f88,f54]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_25) ).
fof(f166,plain,
( spl23_10
| spl23_7 ),
inference(avatar_split_clause,[],[f87,f133,f158]) ).
fof(f87,plain,
( sk_c9 = sF17
| sk_c8 = sF20 ),
inference(definition_folding,[],[f27,f81,f65]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_24) ).
fof(f165,plain,
( spl23_10
| spl23_6 ),
inference(avatar_split_clause,[],[f86,f128,f158]) ).
fof(f86,plain,
( sk_c9 = sF16
| sk_c8 = sF20 ),
inference(definition_folding,[],[f26,f81,f63]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_23) ).
fof(f164,plain,
( spl23_10
| spl23_5 ),
inference(avatar_split_clause,[],[f85,f123,f158]) ).
fof(f85,plain,
( sk_c8 = sF15
| sk_c8 = sF20 ),
inference(definition_folding,[],[f25,f81,f61]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_22) ).
fof(f163,plain,
( spl23_10
| spl23_4 ),
inference(avatar_split_clause,[],[f84,f118,f158]) ).
fof(f84,plain,
( sk_c7 = sF14
| sk_c8 = sF20 ),
inference(definition_folding,[],[f24,f81,f59]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_21) ).
fof(f162,plain,
( spl23_10
| spl23_3 ),
inference(avatar_split_clause,[],[f83,f113,f158]) ).
fof(f83,plain,
( sk_c9 = sF13
| sk_c8 = sF20 ),
inference(definition_folding,[],[f23,f81,f57]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_20) ).
fof(f161,plain,
( spl23_10
| spl23_2 ),
inference(avatar_split_clause,[],[f82,f108,f158]) ).
fof(f82,plain,
( sk_c8 = sF11
| sk_c8 = sF20 ),
inference(definition_folding,[],[f22,f81,f54]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_19) ).
fof(f156,plain,
( spl23_9
| spl23_7 ),
inference(avatar_split_clause,[],[f80,f133,f148]) ).
fof(f80,plain,
( sk_c9 = sF17
| sk_c9 = sF19 ),
inference(definition_folding,[],[f21,f74,f65]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_18) ).
fof(f155,plain,
( spl23_9
| spl23_6 ),
inference(avatar_split_clause,[],[f79,f128,f148]) ).
fof(f79,plain,
( sk_c9 = sF16
| sk_c9 = sF19 ),
inference(definition_folding,[],[f20,f74,f63]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_17) ).
fof(f154,plain,
( spl23_9
| spl23_5 ),
inference(avatar_split_clause,[],[f78,f123,f148]) ).
fof(f78,plain,
( sk_c8 = sF15
| sk_c9 = sF19 ),
inference(definition_folding,[],[f19,f74,f61]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_16) ).
fof(f153,plain,
( spl23_9
| spl23_4 ),
inference(avatar_split_clause,[],[f77,f118,f148]) ).
fof(f77,plain,
( sk_c7 = sF14
| sk_c9 = sF19 ),
inference(definition_folding,[],[f18,f74,f59]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_15) ).
fof(f152,plain,
( spl23_9
| spl23_3 ),
inference(avatar_split_clause,[],[f76,f113,f148]) ).
fof(f76,plain,
( sk_c9 = sF13
| sk_c9 = sF19 ),
inference(definition_folding,[],[f17,f74,f57]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_14) ).
fof(f151,plain,
( spl23_9
| spl23_2 ),
inference(avatar_split_clause,[],[f75,f108,f148]) ).
fof(f75,plain,
( sk_c8 = sF11
| sk_c9 = sF19 ),
inference(definition_folding,[],[f16,f74,f54]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_13) ).
fof(f146,plain,
( spl23_8
| spl23_7 ),
inference(avatar_split_clause,[],[f73,f133,f138]) ).
fof(f73,plain,
( sk_c9 = sF17
| sk_c9 = sF18 ),
inference(definition_folding,[],[f15,f67,f65]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_12) ).
fof(f145,plain,
( spl23_8
| spl23_6 ),
inference(avatar_split_clause,[],[f72,f128,f138]) ).
fof(f72,plain,
( sk_c9 = sF16
| sk_c9 = sF18 ),
inference(definition_folding,[],[f14,f67,f63]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_11) ).
fof(f144,plain,
( spl23_8
| spl23_5 ),
inference(avatar_split_clause,[],[f71,f123,f138]) ).
fof(f71,plain,
( sk_c8 = sF15
| sk_c9 = sF18 ),
inference(definition_folding,[],[f13,f67,f61]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_10) ).
fof(f143,plain,
( spl23_8
| spl23_4 ),
inference(avatar_split_clause,[],[f70,f118,f138]) ).
fof(f70,plain,
( sk_c7 = sF14
| sk_c9 = sF18 ),
inference(definition_folding,[],[f12,f67,f59]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_9) ).
fof(f142,plain,
( spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f69,f113,f138]) ).
fof(f69,plain,
( sk_c9 = sF13
| sk_c9 = sF18 ),
inference(definition_folding,[],[f11,f67,f57]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_8) ).
fof(f141,plain,
( spl23_8
| spl23_2 ),
inference(avatar_split_clause,[],[f68,f108,f138]) ).
fof(f68,plain,
( sk_c8 = sF11
| sk_c9 = sF18 ),
inference(definition_folding,[],[f10,f67,f54]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_7) ).
fof(f136,plain,
( spl23_1
| spl23_7 ),
inference(avatar_split_clause,[],[f66,f133,f104]) ).
fof(f66,plain,
( sk_c9 = sF17
| sk_c7 = sF12 ),
inference(definition_folding,[],[f9,f55,f65]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_6) ).
fof(f131,plain,
( spl23_1
| spl23_6 ),
inference(avatar_split_clause,[],[f64,f128,f104]) ).
fof(f64,plain,
( sk_c9 = sF16
| sk_c7 = sF12 ),
inference(definition_folding,[],[f8,f55,f63]) ).
fof(f8,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_5) ).
fof(f126,plain,
( spl23_1
| spl23_5 ),
inference(avatar_split_clause,[],[f62,f123,f104]) ).
fof(f62,plain,
( sk_c8 = sF15
| sk_c7 = sF12 ),
inference(definition_folding,[],[f7,f55,f61]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_4) ).
fof(f121,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f60,f118,f104]) ).
fof(f60,plain,
( sk_c7 = sF14
| sk_c7 = sF12 ),
inference(definition_folding,[],[f6,f55,f59]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_3) ).
fof(f116,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f58,f113,f104]) ).
fof(f58,plain,
( sk_c9 = sF13
| sk_c7 = sF12 ),
inference(definition_folding,[],[f5,f55,f57]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_2) ).
fof(f111,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f56,f108,f104]) ).
fof(f56,plain,
( sk_c8 = sF11
| sk_c7 = sF12 ),
inference(definition_folding,[],[f4,f55,f54]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP390-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 19:00:44 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5OG3hEanV4/Vampire---4.8_28947
% 0.56/0.74 % (29120)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 % (29127)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 % (29127)Refutation not found, incomplete strategy% (29127)------------------------------
% 0.56/0.74 % (29127)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (29127)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29127)Memory used [KB]: 993
% 0.56/0.74 % (29127)Time elapsed: 0.002 s
% 0.56/0.74 % (29127)Instructions burned: 4 (million)
% 0.56/0.74 % (29127)------------------------------
% 0.56/0.74 % (29127)------------------------------
% 0.56/0.74 % (29120)Refutation not found, incomplete strategy% (29120)------------------------------
% 0.56/0.74 % (29120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (29121)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 % (29120)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29123)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 % (29120)Memory used [KB]: 1008
% 0.56/0.74 % (29120)Time elapsed: 0.002 s
% 0.56/0.74 % (29120)Instructions burned: 4 (million)
% 0.56/0.74 % (29120)------------------------------
% 0.56/0.74 % (29120)------------------------------
% 0.56/0.74 % (29122)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 % (29125)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 % (29124)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 % (29126)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 % (29123)Refutation not found, incomplete strategy% (29123)------------------------------
% 0.56/0.74 % (29123)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (29123)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29123)Memory used [KB]: 990
% 0.56/0.74 % (29123)Time elapsed: 0.003 s
% 0.56/0.74 % (29123)Instructions burned: 4 (million)
% 0.56/0.74 % (29123)------------------------------
% 0.56/0.74 % (29123)------------------------------
% 0.56/0.74 % (29124)Refutation not found, incomplete strategy% (29124)------------------------------
% 0.56/0.74 % (29124)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (29124)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (29124)Memory used [KB]: 1007
% 0.56/0.74 % (29124)Time elapsed: 0.004 s
% 0.56/0.75 % (29124)Instructions burned: 4 (million)
% 0.56/0.75 % (29124)------------------------------
% 0.56/0.75 % (29124)------------------------------
% 0.56/0.75 % (29128)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 % (29125)Refutation not found, incomplete strategy% (29125)------------------------------
% 0.56/0.75 % (29125)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29125)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29125)Memory used [KB]: 995
% 0.56/0.75 % (29122)Refutation not found, incomplete strategy% (29122)------------------------------
% 0.56/0.75 % (29122)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29125)Time elapsed: 0.004 s
% 0.56/0.75 % (29125)Instructions burned: 5 (million)
% 0.56/0.75 % (29125)------------------------------
% 0.56/0.75 % (29125)------------------------------
% 0.56/0.75 % (29122)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75 % (29129)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)
% 0.56/0.75
% 0.56/0.75 % (29122)Memory used [KB]: 1061
% 0.56/0.75 % (29122)Time elapsed: 0.004 s
% 0.56/0.75 % (29122)Instructions burned: 5 (million)
% 0.56/0.75 % (29122)------------------------------
% 0.56/0.75 % (29122)------------------------------
% 0.56/0.75 % (29126)Refutation not found, incomplete strategy% (29126)------------------------------
% 0.56/0.75 % (29126)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29126)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29126)Memory used [KB]: 1076
% 0.56/0.75 % (29126)Time elapsed: 0.005 s
% 0.56/0.75 % (29126)Instructions burned: 6 (million)
% 0.56/0.75 % (29126)------------------------------
% 0.56/0.75 % (29126)------------------------------
% 0.56/0.75 % (29128)Refutation not found, incomplete strategy% (29128)------------------------------
% 0.56/0.75 % (29128)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29128)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29128)Memory used [KB]: 1061
% 0.56/0.75 % (29128)Time elapsed: 0.002 s
% 0.56/0.75 % (29128)Instructions burned: 5 (million)
% 0.56/0.75 % (29128)------------------------------
% 0.56/0.75 % (29128)------------------------------
% 0.56/0.75 % (29129)Refutation not found, incomplete strategy% (29129)------------------------------
% 0.56/0.75 % (29129)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29129)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29129)Memory used [KB]: 993
% 0.56/0.75 % (29129)Time elapsed: 0.002 s
% 0.56/0.75 % (29129)Instructions burned: 6 (million)
% 0.56/0.75 % (29129)------------------------------
% 0.56/0.75 % (29129)------------------------------
% 0.56/0.75 % (29130)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 % (29135)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)
% 0.56/0.75 % (29131)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 % (29136)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)
% 0.56/0.75 % (29132)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)
% 0.56/0.75 % (29133)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)
% 0.56/0.75 % (29135)Refutation not found, incomplete strategy% (29135)------------------------------
% 0.56/0.75 % (29135)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29135)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29135)Memory used [KB]: 994
% 0.56/0.75 % (29135)Time elapsed: 0.002 s
% 0.56/0.75 % (29135)Instructions burned: 4 (million)
% 0.56/0.75 % (29135)------------------------------
% 0.56/0.75 % (29135)------------------------------
% 0.56/0.75 % (29134)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)
% 0.56/0.75 % (29136)Refutation not found, incomplete strategy% (29136)------------------------------
% 0.56/0.75 % (29136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29136)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29136)Memory used [KB]: 1010
% 0.56/0.75 % (29136)Time elapsed: 0.002 s
% 0.56/0.75 % (29136)Instructions burned: 4 (million)
% 0.56/0.75 % (29136)------------------------------
% 0.56/0.75 % (29136)------------------------------
% 0.56/0.75 % (29133)Refutation not found, incomplete strategy% (29133)------------------------------
% 0.56/0.75 % (29133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29133)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29133)Memory used [KB]: 1008
% 0.56/0.75 % (29133)Time elapsed: 0.003 s
% 0.56/0.75 % (29133)Instructions burned: 4 (million)
% 0.56/0.75 % (29131)Refutation not found, incomplete strategy% (29131)------------------------------
% 0.56/0.75 % (29131)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29131)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29131)Memory used [KB]: 1061
% 0.56/0.75 % (29131)Time elapsed: 0.005 s
% 0.56/0.75 % (29131)Instructions burned: 5 (million)
% 0.56/0.75 % (29131)------------------------------
% 0.56/0.75 % (29131)------------------------------
% 0.56/0.75 % (29133)------------------------------
% 0.56/0.75 % (29133)------------------------------
% 0.56/0.75 % (29132)Refutation not found, incomplete strategy% (29132)------------------------------
% 0.56/0.75 % (29132)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29132)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29132)Memory used [KB]: 1059
% 0.56/0.75 % (29132)Time elapsed: 0.005 s
% 0.56/0.75 % (29132)Instructions burned: 5 (million)
% 0.56/0.75 % (29132)------------------------------
% 0.56/0.75 % (29132)------------------------------
% 0.56/0.75 % (29130)Refutation not found, incomplete strategy% (29130)------------------------------
% 0.56/0.75 % (29130)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29130)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29130)Memory used [KB]: 1074
% 0.56/0.75 % (29130)Time elapsed: 0.006 s
% 0.56/0.75 % (29130)Instructions burned: 7 (million)
% 0.56/0.75 % (29130)------------------------------
% 0.56/0.75 % (29130)------------------------------
% 0.56/0.75 % (29137)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)
% 0.56/0.75 % (29138)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 (2996ds/62Mi)
% 0.56/0.75 % (29138)Refutation not found, incomplete strategy% (29138)------------------------------
% 0.56/0.75 % (29138)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (29138)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (29138)Memory used [KB]: 994
% 0.56/0.75 % (29138)Time elapsed: 0.001 s
% 0.56/0.75 % (29138)Instructions burned: 3 (million)
% 0.56/0.75 % (29138)------------------------------
% 0.56/0.75 % (29138)------------------------------
% 0.56/0.76 % (29134)Refutation not found, incomplete strategy% (29134)------------------------------
% 0.56/0.76 % (29134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29134)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (29134)Memory used [KB]: 1089
% 0.56/0.76 % (29134)Time elapsed: 0.007 s
% 0.56/0.76 % (29134)Instructions burned: 10 (million)
% 0.56/0.76 % (29134)------------------------------
% 0.56/0.76 % (29134)------------------------------
% 0.56/0.76 % (29140)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 (2996ds/1919Mi)
% 0.56/0.76 % (29139)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 (2996ds/32Mi)
% 0.56/0.76 % (29143)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 (2996ds/46Mi)
% 0.56/0.76 % (29141)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 (2996ds/55Mi)
% 0.56/0.76 % (29142)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 (2996ds/53Mi)
% 0.56/0.76 % (29143)Refutation not found, incomplete strategy% (29143)------------------------------
% 0.56/0.76 % (29143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29143)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (29143)Memory used [KB]: 1008
% 0.56/0.76 % (29143)Time elapsed: 0.002 s
% 0.56/0.76 % (29143)Instructions burned: 4 (million)
% 0.56/0.76 % (29143)------------------------------
% 0.56/0.76 % (29143)------------------------------
% 0.56/0.76 % (29141)Refutation not found, incomplete strategy% (29141)------------------------------
% 0.56/0.76 % (29141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29141)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76 % (29140)Refutation not found, incomplete strategy% (29140)------------------------------
% 0.56/0.76 % (29140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29140)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (29140)Memory used [KB]: 1061
% 0.56/0.76 % (29140)Time elapsed: 0.005 s
% 0.56/0.76 % (29140)Instructions burned: 5 (million)
% 0.56/0.76 % (29140)------------------------------
% 0.56/0.76 % (29140)------------------------------
% 0.56/0.76
% 0.56/0.76 % (29141)Memory used [KB]: 1009
% 0.56/0.76 % (29141)Time elapsed: 0.004 s
% 0.56/0.76 % (29141)Instructions burned: 5 (million)
% 0.56/0.76 % (29141)------------------------------
% 0.56/0.76 % (29141)------------------------------
% 0.56/0.76 % (29139)Refutation not found, incomplete strategy% (29139)------------------------------
% 0.56/0.76 % (29139)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (29139)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (29139)Memory used [KB]: 1072
% 0.56/0.76 % (29139)Time elapsed: 0.004 s
% 0.56/0.76 % (29139)Instructions burned: 5 (million)
% 0.56/0.76 % (29139)------------------------------
% 0.56/0.76 % (29139)------------------------------
% 0.56/0.76 % (29145)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 (2996ds/35Mi)
% 0.56/0.76 % (29144)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 (2996ds/102Mi)
% 0.56/0.76 % (29146)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.56/0.76 % (29147)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 (2996ds/109Mi)
% 0.56/0.76 % (29148)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 (2996ds/161Mi)
% 0.56/0.77 % (29148)Refutation not found, incomplete strategy% (29148)------------------------------
% 0.56/0.77 % (29148)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (29148)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (29148)Memory used [KB]: 988
% 0.56/0.77 % (29148)Time elapsed: 0.003 s
% 0.56/0.77 % (29148)Instructions burned: 4 (million)
% 0.56/0.77 % (29148)------------------------------
% 0.56/0.77 % (29148)------------------------------
% 0.56/0.77 % (29142)Refutation not found, incomplete strategy% (29142)------------------------------
% 0.56/0.77 % (29142)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (29142)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (29142)Memory used [KB]: 1068
% 0.56/0.77 % (29142)Time elapsed: 0.013 s
% 0.56/0.77 % (29142)Instructions burned: 23 (million)
% 0.56/0.77 % (29142)------------------------------
% 0.56/0.77 % (29142)------------------------------
% 0.56/0.77 % (29145)Instruction limit reached!
% 0.56/0.77 % (29145)------------------------------
% 0.56/0.77 % (29145)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (29145)Termination reason: Unknown
% 0.56/0.77 % (29145)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (29145)Memory used [KB]: 1172
% 0.56/0.77 % (29145)Time elapsed: 0.010 s
% 0.56/0.77 % (29145)Instructions burned: 37 (million)
% 0.56/0.77 % (29145)------------------------------
% 0.56/0.77 % (29145)------------------------------
% 0.56/0.77 % (29121)Instruction limit reached!
% 0.56/0.77 % (29121)------------------------------
% 0.56/0.77 % (29121)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (29121)Termination reason: Unknown
% 0.56/0.77 % (29121)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (29121)Memory used [KB]: 1774
% 0.56/0.77 % (29121)Time elapsed: 0.029 s
% 0.56/0.77 % (29121)Instructions burned: 52 (million)
% 0.56/0.77 % (29121)------------------------------
% 0.56/0.77 % (29121)------------------------------
% 0.56/0.77 % (29150)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)
% 0.56/0.77 % (29153)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)
% 0.56/0.77 % (29152)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)
% 0.56/0.77 % (29150)Refutation not found, incomplete strategy% (29150)------------------------------
% 0.56/0.77 % (29150)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (29150)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (29150)Memory used [KB]: 1079
% 0.56/0.77 % (29150)Time elapsed: 0.004 s
% 0.56/0.77 % (29150)Instructions burned: 5 (million)
% 0.56/0.77 % (29154)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)
% 0.56/0.77 % (29150)------------------------------
% 0.56/0.77 % (29150)------------------------------
% 0.77/0.78 % (29156)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)
% 0.77/0.78 % (29152)Refutation not found, incomplete strategy% (29152)------------------------------
% 0.77/0.78 % (29152)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.78 % (29152)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.78
% 0.77/0.78 % (29152)Memory used [KB]: 1104
% 0.77/0.78 % (29152)Time elapsed: 0.007 s
% 0.77/0.78 % (29152)Instructions burned: 9 (million)
% 0.77/0.78 % (29152)------------------------------
% 0.77/0.78 % (29152)------------------------------
% 0.77/0.78 % (29137)Instruction limit reached!
% 0.77/0.78 % (29137)------------------------------
% 0.77/0.78 % (29137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.78 % (29137)Termination reason: Unknown
% 0.77/0.78 % (29137)Termination phase: Saturation
% 0.77/0.78
% 0.77/0.78 % (29137)Memory used [KB]: 2258
% 0.77/0.78 % (29137)Time elapsed: 0.028 s
% 0.77/0.78 % (29137)Instructions burned: 94 (million)
% 0.77/0.78 % (29137)------------------------------
% 0.77/0.78 % (29137)------------------------------
% 0.77/0.78 % (29160)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.77/0.78 % (29159)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.77/0.79 % (29153)First to succeed.
% 0.77/0.79 % (29153)Refutation found. Thanks to Tanya!
% 0.77/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.77/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.79 % (29153)------------------------------
% 0.77/0.79 % (29153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.79 % (29153)Termination reason: Refutation
% 0.77/0.79
% 0.77/0.79 % (29153)Memory used [KB]: 1395
% 0.77/0.79 % (29153)Time elapsed: 0.042 s
% 0.77/0.79 % (29153)Instructions burned: 64 (million)
% 0.77/0.79 % (29153)------------------------------
% 0.77/0.79 % (29153)------------------------------
% 0.77/0.79 % (29097)Success in time 0.446 s
% 0.77/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------