TSTP Solution File: GRP322-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP322-1 : 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 : n018.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 02:28:32 EDT 2024
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 60
% Syntax : Number of formulae : 222 ( 4 unt; 0 def)
% Number of atoms : 748 ( 255 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1003 ( 477 ~; 506 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1300,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f56,f61,f66,f71,f76,f81,f82,f83,f84,f85,f86,f91,f92,f93,f94,f95,f96,f101,f102,f103,f104,f105,f106,f111,f112,f113,f114,f115,f116,f121,f122,f123,f124,f125,f126,f136,f172,f195,f200,f301,f501,f504,f536,f924,f1001,f1022,f1069,f1083,f1087,f1089,f1107,f1224,f1227,f1295]) ).
fof(f1295,plain,
( ~ spl0_21
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1294,f1072,f963,f131,f118,f108,f930]) ).
fof(f930,plain,
( spl0_21
<=> sk_c9 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f108,plain,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f118,plain,
( spl0_12
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f131,plain,
( spl0_14
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f963,plain,
( spl0_28
<=> sk_c8 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1072,plain,
( spl0_29
<=> sk_c9 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1294,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1293]) ).
fof(f1293,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1292,f120]) ).
fof(f120,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f1292,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1273,f1073]) ).
fof(f1073,plain,
( sk_c9 = sk_c3
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1273,plain,
( sk_c9 != multiply(sk_c9,sk_c3)
| sk_c9 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_28 ),
inference(superposition,[],[f1108,f110]) ).
fof(f110,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f1108,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_14
| ~ spl0_28 ),
inference(forward_demodulation,[],[f132,f964]) ).
fof(f964,plain,
( sk_c8 = sk_c9
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f132,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f1227,plain,
( spl0_29
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1226,f963,f98,f88,f78,f1072]) ).
fof(f78,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f88,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f98,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1226,plain,
( sk_c9 = sk_c3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1207,f964]) ).
fof(f1207,plain,
( sk_c8 = sk_c3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_28 ),
inference(superposition,[],[f100,f1183]) ).
fof(f1183,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(superposition,[],[f1013,f1175]) ).
fof(f1175,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1169,f1013]) ).
fof(f1169,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f570,f590]) ).
fof(f590,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f588,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',left_identity) ).
fof(f588,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f568]) ).
fof(f568,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',associativity) ).
fof(f570,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f80]) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f1013,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_9
| ~ spl0_28 ),
inference(superposition,[],[f590,f964]) ).
fof(f100,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f1224,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1223,f963,f88,f78,f63,f197]) ).
fof(f197,plain,
( spl0_18
<=> sk_c9 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f63,plain,
( spl0_5
<=> sk_c8 = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1223,plain,
( sk_c9 = sk_c6
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1204,f964]) ).
fof(f1204,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(superposition,[],[f65,f1183]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f1107,plain,
( ~ spl0_28
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(avatar_split_clause,[],[f1106,f948,f88,f78,f44,f963]) ).
fof(f44,plain,
( spl0_1
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f948,plain,
( spl0_25
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1106,plain,
( sk_c8 != sk_c9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| spl0_25 ),
inference(superposition,[],[f950,f970]) ).
fof(f970,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f46,f624]) ).
fof(f624,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f590,f80]) ).
fof(f46,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f950,plain,
( sk_c9 != sk_c7
| spl0_25 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f1089,plain,
( ~ spl0_25
| spl0_2
| ~ spl0_21
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1088,f963,f930,f48,f948]) ).
fof(f48,plain,
( spl0_2
<=> sk_c7 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1088,plain,
( sk_c9 != sk_c7
| spl0_2
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1084,f931]) ).
fof(f931,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1084,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| spl0_2
| ~ spl0_28 ),
inference(forward_demodulation,[],[f49,f964]) ).
fof(f49,plain,
( sk_c7 != multiply(sk_c9,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f1087,plain,
( ~ spl0_25
| spl0_2
| ~ spl0_5
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1086,f963,f197,f63,f48,f948]) ).
fof(f1086,plain,
( sk_c9 != sk_c7
| spl0_2
| ~ spl0_5
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1085,f964]) ).
fof(f1085,plain,
( sk_c8 != sk_c7
| spl0_2
| ~ spl0_5
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1084,f305]) ).
fof(f305,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f65,f198]) ).
fof(f198,plain,
( sk_c9 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f1083,plain,
( ~ spl0_28
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1082,f963,f134,f88,f78,f963]) ).
fof(f134,plain,
( spl0_15
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1082,plain,
( sk_c8 != sk_c9
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f1081,f90]) ).
fof(f1081,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1080]) ).
fof(f1080,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1077,f964]) ).
fof(f1077,plain,
( sk_c8 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f135,f1008]) ).
fof(f1008,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_8
| ~ spl0_28 ),
inference(superposition,[],[f80,f964]) ).
fof(f135,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f1069,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1061,f134,f53,f58]) ).
fof(f58,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f53,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1061,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1057]) ).
fof(f1057,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f135,f55]) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f1022,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1014,f963,f88,f78,f930]) ).
fof(f1014,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_28 ),
inference(superposition,[],[f624,f964]) ).
fof(f1001,plain,
( spl0_28
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f996,f118,f108,f98,f963]) ).
fof(f996,plain,
( sk_c8 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f100,f802]) ).
fof(f802,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f597,f110]) ).
fof(f597,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f593,f1]) ).
fof(f593,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f569]) ).
fof(f569,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f2,f120]) ).
fof(f924,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f901,f128,f78,f88]) ).
fof(f128,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f901,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f900]) ).
fof(f900,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f129,f80]) ).
fof(f129,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f536,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f535,f134,f73,f68,f63,f58,f53,f58]) ).
fof(f68,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f73,plain,
( spl0_7
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f535,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f516,f290]) ).
fof(f290,plain,
( sk_c4 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f268,f265]) ).
fof(f265,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f254,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f151,f228]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f227,f151]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f212,f162]) ).
fof(f162,plain,
( sk_c8 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f159,f65]) ).
fof(f159,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f152,f70]) ).
fof(f70,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f152,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f146,f151]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f55]) ).
fof(f151,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f143,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f137]) ).
fof(f268,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f254,f138]) ).
fof(f516,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f515]) ).
fof(f515,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f505,f262]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f254,f152]) ).
fof(f505,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f135,f162]) ).
fof(f504,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f503,f131,f73,f68,f63,f58,f53,f58]) ).
fof(f503,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f486,f290]) ).
fof(f486,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f484,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f201,f152]) ).
fof(f201,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f132,f162]) ).
fof(f501,plain,
( ~ spl0_4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f487,f131,f73,f68,f63,f58,f58]) ).
fof(f487,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f481]) ).
fof(f481,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f201,f151]) ).
fof(f301,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f300,f73,f68,f63,f58,f53,f197]) ).
fof(f300,plain,
( sk_c9 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f278,f162]) ).
fof(f278,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f65,f254]) ).
fof(f200,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f181,f128,f73,f68,f63,f197,f73]) ).
fof(f181,plain,
( sk_c9 != sk_c6
| sk_c9 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f174,f70]) ).
fof(f174,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f173,f162]) ).
fof(f173,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f129,f162]) ).
fof(f195,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f194,f128,f73,f68,f63,f53,f58]) ).
fof(f194,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f193]) ).
fof(f193,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f180,f162]) ).
fof(f180,plain,
( sk_c8 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f174,f55]) ).
fof(f172,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f170]) ).
fof(f170,plain,
( sk_c9 != sk_c9
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f169,f156]) ).
fof(f156,plain,
( sk_c9 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f153,f50]) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f153,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f151,f55]) ).
fof(f169,plain,
( sk_c9 != sk_c7
| spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f165]) ).
fof(f165,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f153,f162]) ).
fof(f167,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f45,f162]) ).
fof(f45,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f136,plain,
( ~ spl0_1
| spl0_13
| spl0_14
| ~ spl0_2
| spl0_15
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f131,f134,f48,f131,f128,f44]) ).
fof(f42,plain,
! [X3,X8,X6,X5] :
( sk_c9 != inverse(X8)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X4,X5] :
( sk_c9 != inverse(X8)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(X8,sk_c9) != X7
| sk_c8 != multiply(sk_c9,X7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_37) ).
fof(f126,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f73,f118]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_36) ).
fof(f125,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f68,f118]) ).
fof(f38,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_35) ).
fof(f124,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f63,f118]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_34) ).
fof(f123,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f58,f118]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_33) ).
fof(f122,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f53,f118]) ).
fof(f35,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_32) ).
fof(f121,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f48,f118]) ).
fof(f34,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_31) ).
fof(f116,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f73,f108]) ).
fof(f33,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_30) ).
fof(f115,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f68,f108]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_29) ).
fof(f114,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f63,f108]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_28) ).
fof(f113,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f58,f108]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_27) ).
fof(f112,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f53,f108]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_26) ).
fof(f111,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f48,f108]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_25) ).
fof(f106,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f73,f98]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_24) ).
fof(f105,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f68,f98]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_23) ).
fof(f104,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f63,f98]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_22) ).
fof(f103,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f58,f98]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_21) ).
fof(f102,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f53,f98]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_20) ).
fof(f101,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f48,f98]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_19) ).
fof(f96,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f73,f88]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_18) ).
fof(f95,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f68,f88]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_17) ).
fof(f94,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f63,f88]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_16) ).
fof(f93,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f58,f88]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_15) ).
fof(f92,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f53,f88]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_14) ).
fof(f91,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f48,f88]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_13) ).
fof(f86,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f73,f78]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_12) ).
fof(f85,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f68,f78]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_11) ).
fof(f84,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f63,f78]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_10) ).
fof(f83,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f58,f78]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_9) ).
fof(f82,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f53,f78]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_8) ).
fof(f81,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f48,f78]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_7) ).
fof(f76,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f73,f44]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_6) ).
fof(f71,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f68,f44]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_5) ).
fof(f66,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f63,f44]) ).
fof(f7,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_4) ).
fof(f61,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f58,f44]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_3) ).
fof(f56,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f53,f44]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_2) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f48,f44]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.UuYulw4IXa/Vampire---4.8_18873',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08 % 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
% 0.09/0.26 % Computer : n018.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8042.1875MB
% 0.09/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Tue Apr 30 18:37:28 EDT 2024
% 0.09/0.26 % CPUTime :
% 0.09/0.26 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.27 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.UuYulw4IXa/Vampire---4.8_18873
% 0.45/0.62 % (19064)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)
% 0.45/0.62 % (19062)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)
% 0.45/0.62 % (19057)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)
% 0.45/0.62 % (19058)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)
% 0.45/0.62 % (19059)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.45/0.62 % (19060)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)
% 0.45/0.62 % (19064)Refutation not found, incomplete strategy% (19064)------------------------------
% 0.45/0.62 % (19064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.45/0.62 % (19064)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.62
% 0.45/0.62 % (19061)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)
% 0.45/0.62 % (19064)Memory used [KB]: 993
% 0.45/0.62 % (19064)Time elapsed: 0.002 s
% 0.45/0.62 % (19064)Instructions burned: 4 (million)
% 0.45/0.62 % (19064)------------------------------
% 0.45/0.62 % (19064)------------------------------
% 0.45/0.62 % (19063)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)
% 0.47/0.62 % (19060)Refutation not found, incomplete strategy% (19060)------------------------------
% 0.47/0.62 % (19060)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.62 % (19060)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.62 % (19057)Refutation not found, incomplete strategy% (19057)------------------------------
% 0.47/0.62 % (19057)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.62 % (19057)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.62
% 0.47/0.62 % (19057)Memory used [KB]: 1008
% 0.47/0.62 % (19057)Time elapsed: 0.004 s
% 0.47/0.62 % (19057)Instructions burned: 4 (million)
% 0.47/0.62 % (19057)------------------------------
% 0.47/0.62 % (19057)------------------------------
% 0.47/0.62
% 0.47/0.62 % (19060)Memory used [KB]: 990
% 0.47/0.62 % (19061)Refutation not found, incomplete strategy% (19061)------------------------------
% 0.47/0.62 % (19061)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.62 % (19060)Time elapsed: 0.004 s
% 0.47/0.62 % (19060)Instructions burned: 4 (million)
% 0.47/0.62 % (19060)------------------------------
% 0.47/0.62 % (19060)------------------------------
% 0.47/0.62 % (19061)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.62
% 0.47/0.62 % (19061)Memory used [KB]: 1007
% 0.47/0.62 % (19061)Time elapsed: 0.004 s
% 0.47/0.62 % (19061)Instructions burned: 5 (million)
% 0.47/0.62 % (19061)------------------------------
% 0.47/0.62 % (19061)------------------------------
% 0.47/0.62 % (19068)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)
% 0.47/0.63 % (19059)Refutation not found, incomplete strategy% (19059)------------------------------
% 0.47/0.63 % (19059)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19059)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19059)Memory used [KB]: 1069
% 0.47/0.63 % (19059)Time elapsed: 0.005 s
% 0.47/0.63 % (19059)Instructions burned: 7 (million)
% 0.47/0.63 % (19059)------------------------------
% 0.47/0.63 % (19059)------------------------------
% 0.47/0.63 % (19063)Refutation not found, incomplete strategy% (19063)------------------------------
% 0.47/0.63 % (19063)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19063)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19063)Memory used [KB]: 1082
% 0.47/0.63 % (19063)Time elapsed: 0.006 s
% 0.47/0.63 % (19063)Instructions burned: 8 (million)
% 0.47/0.63 % (19063)------------------------------
% 0.47/0.63 % (19063)------------------------------
% 0.47/0.63 % (19068)Refutation not found, incomplete strategy% (19068)------------------------------
% 0.47/0.63 % (19068)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19068)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19068)Memory used [KB]: 1079
% 0.47/0.63 % (19068)Time elapsed: 0.003 s
% 0.47/0.63 % (19068)Instructions burned: 7 (million)
% 0.47/0.63 % (19068)------------------------------
% 0.47/0.63 % (19068)------------------------------
% 0.47/0.63 % (19071)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)
% 0.47/0.63 % (19072)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)
% 0.47/0.63 % (19073)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)
% 0.47/0.63 % (19078)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)
% 0.47/0.63 % (19075)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)
% 0.47/0.63 % (19076)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)
% 0.47/0.63 % (19071)Refutation not found, incomplete strategy% (19071)------------------------------
% 0.47/0.63 % (19071)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19071)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19071)Memory used [KB]: 994
% 0.47/0.63 % (19071)Time elapsed: 0.004 s
% 0.47/0.63 % (19071)Instructions burned: 6 (million)
% 0.47/0.63 % (19071)------------------------------
% 0.47/0.63 % (19071)------------------------------
% 0.47/0.63 % (19073)Refutation not found, incomplete strategy% (19073)------------------------------
% 0.47/0.63 % (19073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19073)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19073)Memory used [KB]: 1069
% 0.47/0.63 % (19073)Time elapsed: 0.005 s
% 0.47/0.63 % (19073)Instructions burned: 7 (million)
% 0.47/0.63 % (19073)------------------------------
% 0.47/0.63 % (19073)------------------------------
% 0.47/0.63 % (19076)Refutation not found, incomplete strategy% (19076)------------------------------
% 0.47/0.63 % (19076)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19076)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.63
% 0.47/0.63 % (19062)Instruction limit reached!
% 0.47/0.63 % (19062)------------------------------
% 0.47/0.63 % (19062)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (19062)Termination reason: Unknown
% 0.47/0.63 % (19062)Termination phase: Saturation
% 0.47/0.63
% 0.47/0.63 % (19062)Memory used [KB]: 1636
% 0.47/0.63 % (19062)Time elapsed: 0.014 s
% 0.47/0.63 % (19062)Instructions burned: 45 (million)
% 0.47/0.63 % (19062)------------------------------
% 0.47/0.63 % (19062)------------------------------
% 0.47/0.63 % (19076)Memory used [KB]: 1008
% 0.47/0.63 % (19076)Time elapsed: 0.003 s
% 0.47/0.63 % (19076)Instructions burned: 4 (million)
% 0.47/0.63 % (19076)------------------------------
% 0.47/0.63 % (19076)------------------------------
% 0.47/0.64 % (19082)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)
% 0.47/0.64 % (19081)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)
% 0.47/0.64 % (19082)Refutation not found, incomplete strategy% (19082)------------------------------
% 0.47/0.64 % (19082)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64 % (19082)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (19082)Memory used [KB]: 1010
% 0.47/0.64 % (19082)Time elapsed: 0.002 s
% 0.47/0.64 % (19082)Instructions burned: 4 (million)
% 0.47/0.64 % (19082)------------------------------
% 0.47/0.64 % (19082)------------------------------
% 0.47/0.64 % (19083)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)
% 0.47/0.64 % (19084)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)
% 0.47/0.64 % (19081)Refutation not found, incomplete strategy% (19081)------------------------------
% 0.47/0.64 % (19081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64 % (19081)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (19081)Memory used [KB]: 994
% 0.47/0.64 % (19081)Time elapsed: 0.004 s
% 0.47/0.64 % (19081)Instructions burned: 4 (million)
% 0.47/0.64 % (19081)------------------------------
% 0.47/0.64 % (19081)------------------------------
% 0.47/0.64 % (19084)Refutation not found, incomplete strategy% (19084)------------------------------
% 0.47/0.64 % (19084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.64 % (19084)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64
% 0.47/0.64 % (19084)Memory used [KB]: 994
% 0.47/0.64 % (19084)Time elapsed: 0.003 s
% 0.47/0.64 % (19084)Instructions burned: 3 (million)
% 0.47/0.64 % (19084)------------------------------
% 0.47/0.64 % (19084)------------------------------
% 0.47/0.64 % (19087)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)
% 0.47/0.64 % (19058)First to succeed.
% 0.47/0.64 % (19088)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)
% 0.47/0.64 % (19090)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)
% 0.47/0.64 % (19058)Refutation found. Thanks to Tanya!
% 0.47/0.64 % SZS status Unsatisfiable for Vampire---4
% 0.47/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.65 % (19058)------------------------------
% 0.47/0.65 % (19058)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.65 % (19058)Termination reason: Refutation
% 0.47/0.65
% 0.47/0.65 % (19058)Memory used [KB]: 1294
% 0.47/0.65 % (19058)Time elapsed: 0.023 s
% 0.47/0.65 % (19058)Instructions burned: 39 (million)
% 0.47/0.65 % (19058)------------------------------
% 0.47/0.65 % (19058)------------------------------
% 0.47/0.65 % (19012)Success in time 0.368 s
% 0.47/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------