TSTP Solution File: GRP391-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP391-1 : 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 : n023.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 0.72s 0.80s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 77
% Syntax : Number of formulae : 436 ( 35 unt; 0 def)
% Number of atoms : 1771 ( 361 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2532 (1197 ~;1313 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 23 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1637,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f128,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f143,f148,f149,f150,f151,f152,f153,f158,f159,f160,f161,f162,f163,f184,f283,f345,f351,f366,f469,f517,f530,f827,f1020,f1063,f1106,f1119,f1154,f1160,f1216,f1307,f1323,f1340,f1568,f1576,f1627,f1636]) ).
fof(f1636,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1635,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1634,f1536]) ).
fof(f1536,plain,
( ~ sP5(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1385,f1454]) ).
fof(f1454,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1396,f1409]) ).
fof(f1409,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1395,f1256]) ).
fof(f1256,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl21_1 ),
inference(superposition,[],[f207,f377]) ).
fof(f377,plain,
( inverse(sk_c6) = sk_c8
| ~ spl21_1 ),
inference(forward_demodulation,[],[f48,f93]) ).
fof(f93,plain,
( sk_c8 = sF11
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl21_1
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f48,plain,
inverse(sk_c6) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f207,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',left_identity) ).
fof(f198,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',associativity) ).
fof(f1395,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1326,f1383]) ).
fof(f1383,plain,
( sk_c6 = sk_c7
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1382,f862]) ).
fof(f862,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_11 ),
inference(superposition,[],[f553,f379]) ).
fof(f379,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl21_11 ),
inference(forward_demodulation,[],[f81,f157]) ).
fof(f157,plain,
( sk_c8 = sF20
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl21_11
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f81,plain,
multiply(sk_c6,sk_c7) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f553,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl21_1 ),
inference(forward_demodulation,[],[f552,f1]) ).
fof(f552,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl21_1 ),
inference(superposition,[],[f3,f376]) ).
fof(f376,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl21_1 ),
inference(forward_demodulation,[],[f191,f93]) ).
fof(f191,plain,
identity = multiply(sF11,sk_c6),
inference(superposition,[],[f2,f48]) ).
fof(f1382,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f1380,f377]) ).
fof(f1380,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c8)
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f207,f1360]) ).
fof(f1360,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f1358,f1334]) ).
fof(f1334,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl21_6 ),
inference(backward_demodulation,[],[f56,f117]) ).
fof(f117,plain,
( sk_c6 = sF15
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl21_6
<=> sk_c6 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f56,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1358,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl21_7 ),
inference(superposition,[],[f207,f1329]) ).
fof(f1329,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl21_7 ),
inference(backward_demodulation,[],[f58,f122]) ).
fof(f122,plain,
( sk_c6 = sF16
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl21_7
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f58,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1326,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl21_2
| ~ spl21_3 ),
inference(forward_demodulation,[],[f607,f97]) ).
fof(f97,plain,
( sk_c7 = sF10
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl21_2
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f607,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sF10,X0))
| ~ spl21_3 ),
inference(superposition,[],[f3,f599]) ).
fof(f599,plain,
( sk_c8 = multiply(sk_c8,sF10)
| ~ spl21_3 ),
inference(superposition,[],[f209,f47]) ).
fof(f47,plain,
multiply(sk_c3,sk_c8) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl21_3 ),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl21_3 ),
inference(superposition,[],[f3,f192]) ).
fof(f192,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl21_3 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl21_3 ),
inference(backward_demodulation,[],[f50,f102]) ).
fof(f102,plain,
( sk_c8 = sF12
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl21_3
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f50,plain,
inverse(sk_c3) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1396,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1327,f1383]) ).
fof(f1327,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl21_2
| ~ spl21_3 ),
inference(forward_demodulation,[],[f599,f97]) ).
fof(f1385,plain,
( ~ sP5(sk_c6)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f40,f1383]) ).
fof(f40,plain,
~ sP5(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1634,plain,
( sP5(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1633,f39]) ).
fof(f39,plain,
~ sP4(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1633,plain,
( sP4(sk_c8)
| sP5(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_15 ),
inference(superposition,[],[f1631,f1562]) ).
fof(f1562,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f377,f1454]) ).
fof(f1631,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(X5) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_15 ),
inference(forward_demodulation,[],[f177,f1614]) ).
fof(f1614,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1606,f1261]) ).
fof(f1261,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f207,f207]) ).
fof(f1606,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c8) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(superposition,[],[f207,f1550]) ).
fof(f1550,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f2,f1546]) ).
fof(f1546,plain,
( identity = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1414,f1454]) ).
fof(f1414,plain,
( identity = sk_c6
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f376,f1409]) ).
fof(f177,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c8)) )
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl21_15
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f1627,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1626,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1569,f1625]) ).
fof(f1625,plain,
( sP1(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1621,f1570]) ).
fof(f1570,plain,
( ~ sP0(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f35,f1454]) ).
fof(f35,plain,
~ sP0(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1621,plain,
( sP1(sk_c8)
| sP0(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_17 ),
inference(superposition,[],[f1617,f1562]) ).
fof(f1617,plain,
( ! [X7] :
( sP1(inverse(X7))
| sP0(X7) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_17 ),
inference(backward_demodulation,[],[f183,f1614]) ).
fof(f183,plain,
( ! [X7] :
( sP1(inverse(X7))
| sP0(multiply(X7,sk_c8)) )
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl21_17
<=> ! [X7] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f1569,plain,
( ~ sP1(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f36,f1454]) ).
fof(f36,plain,
~ sP1(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1576,plain,
( spl21_25
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f1575,f824,f155,f120,f115,f105,f100,f95,f91,f523]) ).
fof(f523,plain,
( spl21_25
<=> sP3(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f105,plain,
( spl21_4
<=> sk_c6 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f824,plain,
( spl21_33
<=> sP3(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).
fof(f1575,plain,
( sP3(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_33 ),
inference(forward_demodulation,[],[f826,f1565]) ).
fof(f1565,plain,
( sk_c8 = sF13
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f107,f1454]) ).
fof(f107,plain,
( sk_c6 = sF13
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f826,plain,
( sP3(sF13)
| ~ spl21_33 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1568,plain,
( ~ spl21_25
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f1567,f155,f120,f115,f100,f95,f91,f523]) ).
fof(f1567,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f38,f1454]) ).
fof(f38,plain,
~ sP3(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1340,plain,
( ~ spl21_5
| ~ spl21_32 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl21_5
| ~ spl21_32 ),
inference(subsumption_resolution,[],[f1336,f37]) ).
fof(f37,plain,
~ sP2(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1336,plain,
( sP2(sk_c7)
| ~ spl21_5
| ~ spl21_32 ),
inference(backward_demodulation,[],[f828,f112]) ).
fof(f112,plain,
( sk_c7 = sF14
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl21_5
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f828,plain,
( sP2(sF14)
| ~ spl21_32 ),
inference(forward_demodulation,[],[f822,f54]) ).
fof(f54,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f822,plain,
( sP2(inverse(sk_c4))
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl21_32
<=> sP2(inverse(sk_c4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_32])]) ).
fof(f1323,plain,
( ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1322,plain,
( $false
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1321,f1280]) ).
fof(f1280,plain,
( ~ sP1(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f36,f1278]) ).
fof(f1278,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1266,f1107]) ).
fof(f1107,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f2,f1100]) ).
fof(f1100,plain,
( identity = sk_c6
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f376,f1073]) ).
fof(f1073,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f959,f1072]) ).
fof(f1072,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1069,f959]) ).
fof(f1069,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f555,f1064]) ).
fof(f1064,plain,
( sk_c8 = sk_c2
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1056,f953]) ).
fof(f953,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f555,f470]) ).
fof(f470,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl21_8 ),
inference(forward_demodulation,[],[f60,f127]) ).
fof(f127,plain,
( sk_c8 = sF17
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl21_8
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f60,plain,
multiply(sk_c1,sk_c2) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f1056,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f473,f1047]) ).
fof(f1047,plain,
( sk_c8 = sk_c7
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(forward_demodulation,[],[f862,f1046]) ).
fof(f1046,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f965,f470]) ).
fof(f965,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f471,f953]) ).
fof(f471,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl21_8 ),
inference(forward_demodulation,[],[f203,f127]) ).
fof(f203,plain,
! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF17,X0),
inference(superposition,[],[f3,f60]) ).
fof(f473,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl21_10 ),
inference(forward_demodulation,[],[f74,f147]) ).
fof(f147,plain,
( sk_c8 = sF19
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl21_10
<=> sk_c8 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f74,plain,
multiply(sk_c2,sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f555,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl21_9 ),
inference(forward_demodulation,[],[f554,f1]) ).
fof(f554,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl21_9 ),
inference(superposition,[],[f3,f472]) ).
fof(f472,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl21_9 ),
inference(forward_demodulation,[],[f195,f137]) ).
fof(f137,plain,
( sk_c2 = sF18
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl21_9
<=> sk_c2 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f195,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f959,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f471,f555]) ).
fof(f1266,plain,
( sk_c8 = multiply(inverse(sF13),sF13)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f207,f1087]) ).
fof(f1087,plain,
( sF13 = multiply(sF13,sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1050,f1086]) ).
fof(f1086,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sF13,X0)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1060,f1073]) ).
fof(f1060,plain,
( ! [X0] : multiply(sF13,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f557,f1047]) ).
fof(f557,plain,
! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sF13,X0),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
multiply(sk_c4,sk_c7) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1050,plain,
( sF13 = multiply(sk_c4,sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f52,f1047]) ).
fof(f1321,plain,
( sP1(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(forward_demodulation,[],[f1320,f1284]) ).
fof(f1284,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f377,f1278]) ).
fof(f1320,plain,
( sP1(inverse(sk_c8))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(resolution,[],[f1313,f1279]) ).
fof(f1279,plain,
( ~ sP0(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f35,f1278]) ).
fof(f1313,plain,
( ! [X7] :
( sP0(X7)
| sP1(inverse(X7)) )
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(forward_demodulation,[],[f183,f1293]) ).
fof(f1293,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1274,f1278]) ).
fof(f1274,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1260,f1261]) ).
fof(f1260,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f207,f1107]) ).
fof(f1307,plain,
( ~ spl21_25
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| spl21_31 ),
inference(avatar_split_clause,[],[f1290,f573,f155,f145,f135,f125,f91,f523]) ).
fof(f573,plain,
( spl21_31
<=> sP3(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_31])]) ).
fof(f1290,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| spl21_31 ),
inference(backward_demodulation,[],[f1208,f1278]) ).
fof(f1208,plain,
( ~ sP3(sk_c6)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| spl21_31 ),
inference(backward_demodulation,[],[f574,f1100]) ).
fof(f574,plain,
( ~ sP3(identity)
| spl21_31 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1216,plain,
( ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1215,plain,
( $false
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1214,f1049]) ).
fof(f1049,plain,
( ~ sP5(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f40,f1047]) ).
fof(f1214,plain,
( sP5(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(forward_demodulation,[],[f1213,f1075]) ).
fof(f1075,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1055,f1073]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f441,f1047]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl21_11 ),
inference(forward_demodulation,[],[f199,f157]) ).
fof(f199,plain,
! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f81]) ).
fof(f1213,plain,
( sP5(multiply(sk_c6,sk_c8))
| ~ spl21_1
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1212,f39]) ).
fof(f1212,plain,
( sP4(sk_c8)
| sP5(multiply(sk_c6,sk_c8))
| ~ spl21_1
| ~ spl21_15 ),
inference(superposition,[],[f177,f377]) ).
fof(f1160,plain,
( ~ spl21_11
| ~ spl21_14 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl21_11
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f1158,f41]) ).
fof(f41,plain,
~ sP6(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1158,plain,
( sP6(sk_c8)
| ~ spl21_11
| ~ spl21_14 ),
inference(forward_demodulation,[],[f174,f157]) ).
fof(f174,plain,
( sP6(sF20)
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl21_14
<=> sP6(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f1154,plain,
( ~ spl21_25
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| spl21_31 ),
inference(avatar_split_clause,[],[f1153,f573,f155,f145,f135,f125,f120,f91,f523]) ).
fof(f1153,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| spl21_31 ),
inference(forward_demodulation,[],[f574,f1130]) ).
fof(f1130,plain,
( identity = sk_c8
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1100,f1122]) ).
fof(f1122,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f185,f1121]) ).
fof(f1121,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1120,f1075]) ).
fof(f1120,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f202,f1073]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl21_7 ),
inference(superposition,[],[f3,f185]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl21_7 ),
inference(backward_demodulation,[],[f58,f122]) ).
fof(f1119,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f1117,f1051]) ).
fof(f1051,plain,
( sk_c8 != sF10
| ~ spl21_1
| spl21_2
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f96,f1047]) ).
fof(f96,plain,
( sk_c7 != sF10
| spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f1117,plain,
( sk_c8 = sF10
| ~ spl21_1
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1116,f1075]) ).
fof(f1116,plain,
( sF10 = multiply(sk_c6,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f47,f1113]) ).
fof(f1113,plain,
( sk_c6 = sk_c3
| ~ spl21_1
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1112,f1100]) ).
fof(f1112,plain,
( identity = sk_c3
| ~ spl21_1
| ~ spl21_3
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f192,f1073]) ).
fof(f1106,plain,
( ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_31 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_31 ),
inference(subsumption_resolution,[],[f1101,f38]) ).
fof(f1101,plain,
( sP3(sk_c6)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_31 ),
inference(backward_demodulation,[],[f575,f1100]) ).
fof(f575,plain,
( sP3(identity)
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1063,plain,
( ~ spl21_26
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f1048,f155,f135,f125,f91,f527]) ).
fof(f527,plain,
( spl21_26
<=> sP2(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f1048,plain,
( ~ sP2(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f37,f1047]) ).
fof(f1020,plain,
( spl21_26
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f1019,f179,f155,f145,f135,f125,f120,f115,f100,f91,f527]) ).
fof(f179,plain,
( spl21_16
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f1019,plain,
( sP2(sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(backward_demodulation,[],[f914,f1018]) ).
fof(f1018,plain,
( sk_c8 = inverse(sF10)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1015,f1012]) ).
fof(f1012,plain,
( sk_c1 = sF10
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f879,f1007]) ).
fof(f1007,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f555,f1003]) ).
fof(f1003,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f906,f1001]) ).
fof(f1001,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f978,f976]) ).
fof(f976,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f254,f968]) ).
fof(f968,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f967,f470]) ).
fof(f967,plain,
( sk_c6 = multiply(sk_c1,sk_c2)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f965,f592]) ).
fof(f592,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f185,f587]) ).
fof(f587,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,X0)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f586,f247]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl21_3
| ~ spl21_7 ),
inference(superposition,[],[f202,f209]) ).
fof(f586,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f3,f582]) ).
fof(f582,plain,
( sk_c8 = multiply(sk_c6,sk_c3)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f581,f253]) ).
fof(f253,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f213,f185]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl21_6 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl21_6 ),
inference(superposition,[],[f3,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl21_6 ),
inference(superposition,[],[f2,f186]) ).
fof(f186,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl21_6 ),
inference(backward_demodulation,[],[f56,f117]) ).
fof(f581,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c6,sk_c3)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_7 ),
inference(forward_demodulation,[],[f579,f246]) ).
fof(f246,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c5,identity)
| ~ spl21_3
| ~ spl21_7 ),
inference(superposition,[],[f202,f192]) ).
fof(f579,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,identity)
| ~ spl21_1
| ~ spl21_7 ),
inference(superposition,[],[f202,f376]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f213,f202]) ).
fof(f978,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f553,f968]) ).
fof(f906,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f902,f553]) ).
fof(f902,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f609,f887]) ).
fof(f887,plain,
( sk_c6 = sk_c7
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f862,f592]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl21_8
| ~ spl21_10 ),
inference(superposition,[],[f471,f474]) ).
fof(f474,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl21_10 ),
inference(forward_demodulation,[],[f204,f147]) ).
fof(f204,plain,
! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f74]) ).
fof(f879,plain,
( sF10 = multiply(sk_c2,sk_c1)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_9 ),
inference(backward_demodulation,[],[f472,f874]) ).
fof(f874,plain,
( identity = sF10
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f867,f627]) ).
fof(f627,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f617,f376]) ).
fof(f617,plain,
( multiply(sk_c8,sk_c6) = multiply(sk_c6,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f591,f592]) ).
fof(f591,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f202,f587]) ).
fof(f867,plain,
( sF10 = multiply(sk_c6,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f47,f866]) ).
fof(f866,plain,
( sk_c6 = sk_c3
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f861,f592]) ).
fof(f861,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f553,f582]) ).
fof(f1015,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f455,f1011]) ).
fof(f1011,plain,
( sk_c8 = sk_c2
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f953,f1007]) ).
fof(f455,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f67,f137]) ).
fof(f914,plain,
( sP2(inverse(sF10))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f913,f874]) ).
fof(f913,plain,
( sP2(inverse(identity))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f912,f38]) ).
fof(f912,plain,
( sP3(sk_c6)
| sP2(inverse(identity))
| ~ spl21_1
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f847,f887]) ).
fof(f847,plain,
( sP3(sk_c7)
| sP2(inverse(identity))
| ~ spl21_16 ),
inference(superposition,[],[f180,f1]) ).
fof(f180,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c7))
| sP2(inverse(X6)) )
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f827,plain,
( spl21_32
| spl21_33
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f556,f179,f824,f820]) ).
fof(f556,plain,
( sP3(sF13)
| sP2(inverse(sk_c4))
| ~ spl21_16 ),
inference(superposition,[],[f180,f52]) ).
fof(f530,plain,
( spl21_25
| spl21_26
| ~ spl21_1
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f521,f179,f155,f91,f527,f523]) ).
fof(f521,plain,
( sP2(sk_c8)
| sP3(sk_c8)
| ~ spl21_1
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f519,f377]) ).
fof(f519,plain,
( sP3(sk_c8)
| sP2(inverse(sk_c6))
| ~ spl21_11
| ~ spl21_16 ),
inference(superposition,[],[f180,f379]) ).
fof(f517,plain,
( ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f515,f43]) ).
fof(f43,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f515,plain,
( sP8(sk_c8)
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(forward_demodulation,[],[f514,f470]) ).
fof(f514,plain,
( sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f513,f42]) ).
fof(f42,plain,
~ sP7(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f513,plain,
( sP7(sk_c8)
| sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(forward_demodulation,[],[f485,f473]) ).
fof(f485,plain,
( sP7(multiply(sk_c2,sk_c7))
| sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_13 ),
inference(superposition,[],[f170,f455]) ).
fof(f170,plain,
( ! [X3] :
( sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3))) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl21_13
<=> ! [X3] :
( sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f469,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f467,f380]) ).
fof(f380,plain,
( sk_c6 = sk_c8
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f379,f378]) ).
fof(f378,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7 ),
inference(forward_demodulation,[],[f248,f185]) ).
fof(f248,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7 ),
inference(superposition,[],[f202,f214]) ).
fof(f214,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f209,f190]) ).
fof(f190,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| ~ spl21_2 ),
inference(backward_demodulation,[],[f47,f97]) ).
fof(f467,plain,
( sk_c6 != sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f106,f448]) ).
fof(f448,plain,
( sk_c8 = sF13
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f447,f400]) ).
fof(f400,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f390,f399]) ).
fof(f399,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f392,f209]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c5,X0)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f247,f380]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f213,f380]) ).
fof(f447,plain,
( sF13 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f446,f437]) ).
fof(f437,plain,
( sk_c8 = sk_c4
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f412,f432]) ).
fof(f432,plain,
( identity = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f395,f400]) ).
fof(f395,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f376,f380]) ).
fof(f412,plain,
( identity = sk_c4
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f193,f407]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f401,f400]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f219,f400]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f209,f200]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl21_2 ),
inference(superposition,[],[f3,f190]) ).
fof(f193,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl21_5 ),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f446,plain,
( sF13 = multiply(sk_c4,sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f52,f420]) ).
fof(f420,plain,
( sk_c8 = sk_c7
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f418,f414]) ).
fof(f414,plain,
( sk_c7 = inverse(identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f187,f412]) ).
fof(f418,plain,
( sk_c8 = inverse(identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f189,f416]) ).
fof(f416,plain,
( identity = sk_c3
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f411,f415]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f402,f407]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f200,f400]) ).
fof(f411,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f217,f407]) ).
fof(f217,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f200,f192]) ).
fof(f106,plain,
( sk_c6 != sF13
| spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f366,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f364,f42]) ).
fof(f364,plain,
( sP7(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f363,f286]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f271,f285]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f282,f209]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = multiply(sk_c5,X0)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f247,f256]) ).
fof(f256,plain,
( sk_c6 = sk_c8
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f253,f244]) ).
fof(f244,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl21_4
| ~ spl21_5 ),
inference(forward_demodulation,[],[f242,f188]) ).
fof(f188,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl21_4 ),
inference(backward_demodulation,[],[f52,f107]) ).
fof(f242,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f201,f237]) ).
fof(f237,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f211,f188]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl21_5 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl21_5 ),
inference(superposition,[],[f3,f193]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl21_4 ),
inference(superposition,[],[f3,f188]) ).
fof(f271,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f213,f256]) ).
fof(f363,plain,
( sP7(multiply(sk_c8,sk_c8))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f362,f43]) ).
fof(f362,plain,
( sP8(sk_c8)
| sP7(multiply(sk_c8,sk_c8))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f359,f286]) ).
fof(f359,plain,
( sP8(multiply(sk_c8,sk_c8))
| sP7(multiply(sk_c8,sk_c8))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(superposition,[],[f352,f347]) ).
fof(f347,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_1
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f260,f93]) ).
fof(f260,plain,
( sF11 = inverse(sk_c8)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f48,f256]) ).
fof(f352,plain,
( ! [X3] :
( sP8(multiply(X3,inverse(X3)))
| sP7(multiply(inverse(X3),sk_c8)) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f170,f304]) ).
fof(f304,plain,
( sk_c8 = sk_c7
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f266,f299]) ).
fof(f299,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f288,f296]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f289,f286]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f219,f286]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f269,f286]) ).
fof(f269,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f201,f256]) ).
fof(f266,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f188,f256]) ).
fof(f351,plain,
( ~ spl21_12
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f348,f91,f165]) ).
fof(f165,plain,
( spl21_12
<=> sP9(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f348,plain,
( ~ sP9(sk_c8)
| ~ spl21_1 ),
inference(backward_demodulation,[],[f88,f93]) ).
fof(f88,plain,
~ sP9(sF11),
inference(definition_folding,[],[f44,f48]) ).
fof(f44,plain,
~ sP9(inverse(sk_c6)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f345,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f344,f120,f115,f110,f105,f100,f95,f91]) ).
fof(f344,plain,
( sk_c8 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f342,f260]) ).
fof(f342,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f314,f336]) ).
fof(f336,plain,
( identity = sk_c8
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f267,f335]) ).
fof(f335,plain,
( ! [X0] : multiply(sF11,X0) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f334,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF11,X0)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f333,f286]) ).
fof(f333,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF11,multiply(sk_c8,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f3,f267]) ).
fof(f267,plain,
( identity = multiply(sF11,sk_c8)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f191,f256]) ).
fof(f314,plain,
( sk_c8 = inverse(identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f310,f303]) ).
fof(f303,plain,
( identity = sk_c4
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f193,f296]) ).
fof(f310,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f187,f304]) ).
fof(f283,plain,
( spl21_11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f273,f120,f115,f110,f105,f100,f95,f155]) ).
fof(f273,plain,
( sk_c8 = sF20
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f233,f256]) ).
fof(f233,plain,
( sk_c6 = sF20
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(forward_demodulation,[],[f232,f188]) ).
fof(f232,plain,
( multiply(sk_c4,sk_c7) = sF20
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(forward_demodulation,[],[f230,f81]) ).
fof(f230,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f201,f229]) ).
fof(f229,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl21_2
| ~ spl21_3 ),
inference(forward_demodulation,[],[f227,f190]) ).
fof(f227,plain,
( multiply(sk_c3,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f200,f214]) ).
fof(f184,plain,
( spl21_12
| spl21_13
| spl21_14
| spl21_15
| spl21_16
| spl21_17 ),
inference(avatar_split_clause,[],[f89,f182,f179,f176,f172,f169,f165]) ).
fof(f89,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(sF20)
| sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3)))
| sP9(sk_c8) ),
inference(definition_folding,[],[f46,f81]) ).
fof(f46,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(multiply(sk_c6,sk_c7))
| sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3)))
| sP9(sk_c8) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(multiply(sk_c6,sk_c7))
| sP7(multiply(X4,sk_c7))
| inverse(X3) != X4
| sP8(multiply(X3,X4))
| sP9(sk_c8) ),
inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != multiply(X4,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4)
| inverse(sk_c6) != sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_31) ).
fof(f163,plain,
( spl21_11
| spl21_7 ),
inference(avatar_split_clause,[],[f87,f120,f155]) ).
fof(f87,plain,
( sk_c6 = sF16
| sk_c8 = sF20 ),
inference(definition_folding,[],[f33,f81,f58]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_30) ).
fof(f162,plain,
( spl21_11
| spl21_6 ),
inference(avatar_split_clause,[],[f86,f115,f155]) ).
fof(f86,plain,
( sk_c6 = sF15
| sk_c8 = sF20 ),
inference(definition_folding,[],[f32,f81,f56]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_29) ).
fof(f161,plain,
( spl21_11
| spl21_5 ),
inference(avatar_split_clause,[],[f85,f110,f155]) ).
fof(f85,plain,
( sk_c7 = sF14
| sk_c8 = sF20 ),
inference(definition_folding,[],[f31,f81,f54]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_28) ).
fof(f160,plain,
( spl21_11
| spl21_4 ),
inference(avatar_split_clause,[],[f84,f105,f155]) ).
fof(f84,plain,
( sk_c6 = sF13
| sk_c8 = sF20 ),
inference(definition_folding,[],[f30,f81,f52]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_27) ).
fof(f159,plain,
( spl21_11
| spl21_3 ),
inference(avatar_split_clause,[],[f83,f100,f155]) ).
fof(f83,plain,
( sk_c8 = sF12
| sk_c8 = sF20 ),
inference(definition_folding,[],[f29,f81,f50]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_26) ).
fof(f158,plain,
( spl21_11
| spl21_2 ),
inference(avatar_split_clause,[],[f82,f95,f155]) ).
fof(f82,plain,
( sk_c7 = sF10
| sk_c8 = sF20 ),
inference(definition_folding,[],[f28,f81,f47]) ).
fof(f28,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_25) ).
fof(f153,plain,
( spl21_10
| spl21_7 ),
inference(avatar_split_clause,[],[f80,f120,f145]) ).
fof(f80,plain,
( sk_c6 = sF16
| sk_c8 = sF19 ),
inference(definition_folding,[],[f27,f74,f58]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_24) ).
fof(f152,plain,
( spl21_10
| spl21_6 ),
inference(avatar_split_clause,[],[f79,f115,f145]) ).
fof(f79,plain,
( sk_c6 = sF15
| sk_c8 = sF19 ),
inference(definition_folding,[],[f26,f74,f56]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_23) ).
fof(f151,plain,
( spl21_10
| spl21_5 ),
inference(avatar_split_clause,[],[f78,f110,f145]) ).
fof(f78,plain,
( sk_c7 = sF14
| sk_c8 = sF19 ),
inference(definition_folding,[],[f25,f74,f54]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_22) ).
fof(f150,plain,
( spl21_10
| spl21_4 ),
inference(avatar_split_clause,[],[f77,f105,f145]) ).
fof(f77,plain,
( sk_c6 = sF13
| sk_c8 = sF19 ),
inference(definition_folding,[],[f24,f74,f52]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_21) ).
fof(f149,plain,
( spl21_10
| spl21_3 ),
inference(avatar_split_clause,[],[f76,f100,f145]) ).
fof(f76,plain,
( sk_c8 = sF12
| sk_c8 = sF19 ),
inference(definition_folding,[],[f23,f74,f50]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_20) ).
fof(f148,plain,
( spl21_10
| spl21_2 ),
inference(avatar_split_clause,[],[f75,f95,f145]) ).
fof(f75,plain,
( sk_c7 = sF10
| sk_c8 = sF19 ),
inference(definition_folding,[],[f22,f74,f47]) ).
fof(f22,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_19) ).
fof(f143,plain,
( spl21_9
| spl21_7 ),
inference(avatar_split_clause,[],[f73,f120,f135]) ).
fof(f73,plain,
( sk_c6 = sF16
| sk_c2 = sF18 ),
inference(definition_folding,[],[f21,f67,f58]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_18) ).
fof(f142,plain,
( spl21_9
| spl21_6 ),
inference(avatar_split_clause,[],[f72,f115,f135]) ).
fof(f72,plain,
( sk_c6 = sF15
| sk_c2 = sF18 ),
inference(definition_folding,[],[f20,f67,f56]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_17) ).
fof(f141,plain,
( spl21_9
| spl21_5 ),
inference(avatar_split_clause,[],[f71,f110,f135]) ).
fof(f71,plain,
( sk_c7 = sF14
| sk_c2 = sF18 ),
inference(definition_folding,[],[f19,f67,f54]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_16) ).
fof(f140,plain,
( spl21_9
| spl21_4 ),
inference(avatar_split_clause,[],[f70,f105,f135]) ).
fof(f70,plain,
( sk_c6 = sF13
| sk_c2 = sF18 ),
inference(definition_folding,[],[f18,f67,f52]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_15) ).
fof(f139,plain,
( spl21_9
| spl21_3 ),
inference(avatar_split_clause,[],[f69,f100,f135]) ).
fof(f69,plain,
( sk_c8 = sF12
| sk_c2 = sF18 ),
inference(definition_folding,[],[f17,f67,f50]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_14) ).
fof(f138,plain,
( spl21_9
| spl21_2 ),
inference(avatar_split_clause,[],[f68,f95,f135]) ).
fof(f68,plain,
( sk_c7 = sF10
| sk_c2 = sF18 ),
inference(definition_folding,[],[f16,f67,f47]) ).
fof(f16,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_13) ).
fof(f133,plain,
( spl21_8
| spl21_7 ),
inference(avatar_split_clause,[],[f66,f120,f125]) ).
fof(f66,plain,
( sk_c6 = sF16
| sk_c8 = sF17 ),
inference(definition_folding,[],[f15,f60,f58]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_12) ).
fof(f132,plain,
( spl21_8
| spl21_6 ),
inference(avatar_split_clause,[],[f65,f115,f125]) ).
fof(f65,plain,
( sk_c6 = sF15
| sk_c8 = sF17 ),
inference(definition_folding,[],[f14,f60,f56]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_11) ).
fof(f131,plain,
( spl21_8
| spl21_5 ),
inference(avatar_split_clause,[],[f64,f110,f125]) ).
fof(f64,plain,
( sk_c7 = sF14
| sk_c8 = sF17 ),
inference(definition_folding,[],[f13,f60,f54]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_10) ).
fof(f130,plain,
( spl21_8
| spl21_4 ),
inference(avatar_split_clause,[],[f63,f105,f125]) ).
fof(f63,plain,
( sk_c6 = sF13
| sk_c8 = sF17 ),
inference(definition_folding,[],[f12,f60,f52]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_9) ).
fof(f129,plain,
( spl21_8
| spl21_3 ),
inference(avatar_split_clause,[],[f62,f100,f125]) ).
fof(f62,plain,
( sk_c8 = sF12
| sk_c8 = sF17 ),
inference(definition_folding,[],[f11,f60,f50]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_8) ).
fof(f128,plain,
( spl21_8
| spl21_2 ),
inference(avatar_split_clause,[],[f61,f95,f125]) ).
fof(f61,plain,
( sk_c7 = sF10
| sk_c8 = sF17 ),
inference(definition_folding,[],[f10,f60,f47]) ).
fof(f10,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_7) ).
fof(f123,plain,
( spl21_1
| spl21_7 ),
inference(avatar_split_clause,[],[f59,f120,f91]) ).
fof(f59,plain,
( sk_c6 = sF16
| sk_c8 = sF11 ),
inference(definition_folding,[],[f9,f48,f58]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_6) ).
fof(f118,plain,
( spl21_1
| spl21_6 ),
inference(avatar_split_clause,[],[f57,f115,f91]) ).
fof(f57,plain,
( sk_c6 = sF15
| sk_c8 = sF11 ),
inference(definition_folding,[],[f8,f48,f56]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_5) ).
fof(f113,plain,
( spl21_1
| spl21_5 ),
inference(avatar_split_clause,[],[f55,f110,f91]) ).
fof(f55,plain,
( sk_c7 = sF14
| sk_c8 = sF11 ),
inference(definition_folding,[],[f7,f48,f54]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_4) ).
fof(f108,plain,
( spl21_1
| spl21_4 ),
inference(avatar_split_clause,[],[f53,f105,f91]) ).
fof(f53,plain,
( sk_c6 = sF13
| sk_c8 = sF11 ),
inference(definition_folding,[],[f6,f48,f52]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_3) ).
fof(f103,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f51,f100,f91]) ).
fof(f51,plain,
( sk_c8 = sF12
| sk_c8 = sF11 ),
inference(definition_folding,[],[f5,f48,f50]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_2) ).
fof(f98,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f49,f95,f91]) ).
fof(f49,plain,
( sk_c7 = sF10
| sk_c8 = sF11 ),
inference(definition_folding,[],[f4,f48,f47]) ).
fof(f4,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.KrJrbIZDIH/Vampire---4.8_11382',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP391-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % 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
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:38:40 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36 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.KrJrbIZDIH/Vampire---4.8_11382
% 0.56/0.75 % (11786)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)
% 0.56/0.75 % (11779)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)
% 0.56/0.75 % (11786)Refutation not found, incomplete strategy% (11786)------------------------------
% 0.56/0.75 % (11786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11786)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11786)Memory used [KB]: 983
% 0.56/0.75 % (11786)Time elapsed: 0.002 s
% 0.56/0.75 % (11786)Instructions burned: 4 (million)
% 0.56/0.75 % (11781)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (11786)------------------------------
% 0.56/0.75 % (11786)------------------------------
% 0.56/0.75 % (11782)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)
% 0.56/0.75 % (11783)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)
% 0.56/0.75 % (11784)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)
% 0.56/0.75 % (11780)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)
% 0.56/0.75 % (11785)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)
% 0.56/0.75 % (11782)Refutation not found, incomplete strategy% (11782)------------------------------
% 0.56/0.75 % (11782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11779)Refutation not found, incomplete strategy% (11779)------------------------------
% 0.56/0.75 % (11779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11779)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11779)Memory used [KB]: 998
% 0.56/0.75 % (11779)Time elapsed: 0.003 s
% 0.56/0.75 % (11779)Instructions burned: 4 (million)
% 0.56/0.75 % (11779)------------------------------
% 0.56/0.75 % (11779)------------------------------
% 0.56/0.75 % (11782)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11782)Memory used [KB]: 981
% 0.56/0.75 % (11782)Time elapsed: 0.003 s
% 0.56/0.75 % (11782)Instructions burned: 4 (million)
% 0.56/0.75 % (11782)------------------------------
% 0.56/0.75 % (11782)------------------------------
% 0.56/0.75 % (11783)Refutation not found, incomplete strategy% (11783)------------------------------
% 0.56/0.75 % (11783)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11783)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11783)Memory used [KB]: 998
% 0.56/0.75 % (11783)Time elapsed: 0.004 s
% 0.56/0.75 % (11783)Instructions burned: 4 (million)
% 0.56/0.75 % (11783)------------------------------
% 0.56/0.75 % (11783)------------------------------
% 0.56/0.75 % (11784)Refutation not found, incomplete strategy% (11784)------------------------------
% 0.56/0.75 % (11784)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11781)Refutation not found, incomplete strategy% (11781)------------------------------
% 0.56/0.75 % (11781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11781)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11781)Memory used [KB]: 1052
% 0.56/0.75 % (11781)Time elapsed: 0.004 s
% 0.56/0.75 % (11781)Instructions burned: 5 (million)
% 0.56/0.75 % (11781)------------------------------
% 0.56/0.75 % (11781)------------------------------
% 0.56/0.75 % (11784)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11784)Memory used [KB]: 986
% 0.56/0.75 % (11784)Time elapsed: 0.004 s
% 0.56/0.75 % (11784)Instructions burned: 5 (million)
% 0.56/0.75 % (11784)------------------------------
% 0.56/0.75 % (11784)------------------------------
% 0.56/0.75 % (11790)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 % (11785)Refutation not found, incomplete strategy% (11785)------------------------------
% 0.56/0.75 % (11785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11785)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11785)Memory used [KB]: 1065
% 0.56/0.75 % (11785)Time elapsed: 0.005 s
% 0.56/0.75 % (11785)Instructions burned: 6 (million)
% 0.56/0.75 % (11785)------------------------------
% 0.56/0.75 % (11785)------------------------------
% 0.56/0.75 % (11790)Refutation not found, incomplete strategy% (11790)------------------------------
% 0.56/0.75 % (11790)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (11790)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (11790)Memory used [KB]: 1053
% 0.56/0.75 % (11790)Time elapsed: 0.002 s
% 0.56/0.75 % (11790)Instructions burned: 5 (million)
% 0.56/0.75 % (11790)------------------------------
% 0.56/0.75 % (11790)------------------------------
% 0.56/0.76 % (11792)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)
% 0.56/0.76 % (11793)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)
% 0.56/0.76 % (11794)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)
% 0.56/0.76 % (11795)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)
% 0.56/0.76 % (11799)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)
% 0.56/0.76 % (11796)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)
% 0.56/0.76 % (11798)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)
% 0.56/0.76 % (11799)Refutation not found, incomplete strategy% (11799)------------------------------
% 0.56/0.76 % (11799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11799)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11799)Memory used [KB]: 985
% 0.56/0.76 % (11799)Time elapsed: 0.002 s
% 0.56/0.76 % (11799)Instructions burned: 4 (million)
% 0.56/0.76 % (11799)------------------------------
% 0.56/0.76 % (11799)------------------------------
% 0.56/0.76 % (11792)Refutation not found, incomplete strategy% (11792)------------------------------
% 0.56/0.76 % (11792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11792)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11792)Memory used [KB]: 977
% 0.56/0.76 % (11792)Time elapsed: 0.004 s
% 0.56/0.76 % (11792)Instructions burned: 5 (million)
% 0.56/0.76 % (11792)------------------------------
% 0.56/0.76 % (11792)------------------------------
% 0.56/0.76 % (11796)Refutation not found, incomplete strategy% (11796)------------------------------
% 0.56/0.76 % (11796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11796)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11796)Memory used [KB]: 1004
% 0.56/0.76 % (11796)Time elapsed: 0.003 s
% 0.56/0.76 % (11796)Instructions burned: 4 (million)
% 0.56/0.76 % (11796)------------------------------
% 0.56/0.76 % (11796)------------------------------
% 0.56/0.76 % (11794)Refutation not found, incomplete strategy% (11794)------------------------------
% 0.56/0.76 % (11794)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11794)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11794)Memory used [KB]: 1052
% 0.56/0.76 % (11794)Time elapsed: 0.004 s
% 0.56/0.76 % (11794)Instructions burned: 5 (million)
% 0.56/0.76 % (11795)Refutation not found, incomplete strategy% (11795)------------------------------
% 0.56/0.76 % (11795)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11795)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11795)Memory used [KB]: 986
% 0.56/0.76 % (11795)Time elapsed: 0.004 s
% 0.56/0.76 % (11795)Instructions burned: 5 (million)
% 0.56/0.76 % (11795)------------------------------
% 0.56/0.76 % (11795)------------------------------
% 0.56/0.76 % (11794)------------------------------
% 0.56/0.76 % (11794)------------------------------
% 0.56/0.76 % (11793)Refutation not found, incomplete strategy% (11793)------------------------------
% 0.56/0.76 % (11793)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11793)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11793)Memory used [KB]: 1064
% 0.56/0.76 % (11793)Time elapsed: 0.006 s
% 0.56/0.76 % (11793)Instructions burned: 6 (million)
% 0.56/0.76 % (11793)------------------------------
% 0.56/0.76 % (11793)------------------------------
% 0.56/0.76 % (11802)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)
% 0.56/0.76 % (11802)Refutation not found, incomplete strategy% (11802)------------------------------
% 0.56/0.76 % (11802)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11802)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11802)Memory used [KB]: 1000
% 0.56/0.76 % (11802)Time elapsed: 0.002 s
% 0.56/0.76 % (11802)Instructions burned: 4 (million)
% 0.56/0.76 % (11802)------------------------------
% 0.56/0.76 % (11802)------------------------------
% 0.56/0.76 % (11804)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)
% 0.56/0.76 % (11805)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)
% 0.56/0.76 % (11798)Refutation not found, incomplete strategy% (11798)------------------------------
% 0.56/0.76 % (11798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (11798)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (11798)Memory used [KB]: 1087
% 0.56/0.76 % (11798)Time elapsed: 0.007 s
% 0.56/0.76 % (11798)Instructions burned: 10 (million)
% 0.56/0.76 % (11798)------------------------------
% 0.56/0.76 % (11798)------------------------------
% 0.56/0.76 % (11807)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 % (11806)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 % (11808)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)
% 0.56/0.77 % (11810)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)
% 0.56/0.77 % (11805)Refutation not found, incomplete strategy% (11805)------------------------------
% 0.56/0.77 % (11805)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (11805)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (11805)Memory used [KB]: 984
% 0.56/0.77 % (11805)Time elapsed: 0.004 s
% 0.56/0.77 % (11805)Instructions burned: 3 (million)
% 0.56/0.77 % (11805)------------------------------
% 0.56/0.77 % (11805)------------------------------
% 0.56/0.77 % (11807)Refutation not found, incomplete strategy% (11807)------------------------------
% 0.56/0.77 % (11807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (11807)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (11807)Memory used [KB]: 1052
% 0.56/0.77 % (11807)Time elapsed: 0.005 s
% 0.56/0.77 % (11807)Instructions burned: 5 (million)
% 0.56/0.77 % (11806)Refutation not found, incomplete strategy% (11806)------------------------------
% 0.56/0.77 % (11806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (11807)------------------------------
% 0.56/0.77 % (11807)------------------------------
% 0.56/0.77 % (11806)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (11806)Memory used [KB]: 1059
% 0.56/0.77 % (11806)Time elapsed: 0.004 s
% 0.56/0.77 % (11806)Instructions burned: 5 (million)
% 0.56/0.77 % (11806)------------------------------
% 0.56/0.77 % (11806)------------------------------
% 0.56/0.77 % (11808)Refutation not found, incomplete strategy% (11808)------------------------------
% 0.56/0.77 % (11808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (11808)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (11808)Memory used [KB]: 1006
% 0.56/0.77 % (11808)Time elapsed: 0.004 s
% 0.56/0.77 % (11808)Instructions burned: 5 (million)
% 0.56/0.77 % (11808)------------------------------
% 0.56/0.77 % (11808)------------------------------
% 0.56/0.77 % (11814)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)
% 0.56/0.77 % (11810)Refutation not found, incomplete strategy% (11810)------------------------------
% 0.56/0.77 % (11810)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77 % (11810)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (11810)Memory used [KB]: 1063
% 0.56/0.77 % (11810)Time elapsed: 0.006 s
% 0.56/0.77 % (11810)Instructions burned: 18 (million)
% 0.56/0.77 % (11810)------------------------------
% 0.56/0.77 % (11810)------------------------------
% 0.72/0.77 % (11812)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)
% 0.72/0.77 % (11817)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)
% 0.72/0.77 % (11816)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)
% 0.72/0.77 % (11819)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)
% 0.72/0.77 % (11812)Refutation not found, incomplete strategy% (11812)------------------------------
% 0.72/0.77 % (11812)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.77 % (11812)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.77 % (11821)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)
% 0.72/0.77
% 0.72/0.77 % (11812)Memory used [KB]: 997
% 0.72/0.77 % (11812)Time elapsed: 0.003 s
% 0.72/0.77 % (11812)Instructions burned: 4 (million)
% 0.72/0.77 % (11812)------------------------------
% 0.72/0.77 % (11812)------------------------------
% 0.72/0.77 % (11814)Refutation not found, incomplete strategy% (11814)------------------------------
% 0.72/0.77 % (11814)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.77 % (11814)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.77
% 0.72/0.77 % (11814)Memory used [KB]: 1068
% 0.72/0.77 % (11814)Time elapsed: 0.005 s
% 0.72/0.77 % (11814)Instructions burned: 5 (million)
% 0.72/0.77 % (11814)------------------------------
% 0.72/0.77 % (11814)------------------------------
% 0.72/0.77 % (11821)Refutation not found, incomplete strategy% (11821)------------------------------
% 0.72/0.77 % (11821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.77 % (11821)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.77
% 0.72/0.77 % (11821)Memory used [KB]: 979
% 0.72/0.77 % (11821)Time elapsed: 0.002 s
% 0.72/0.77 % (11821)Instructions burned: 4 (million)
% 0.72/0.77 % (11821)------------------------------
% 0.72/0.77 % (11821)------------------------------
% 0.72/0.78 % (11780)Instruction limit reached!
% 0.72/0.78 % (11780)------------------------------
% 0.72/0.78 % (11780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.78 % (11780)Termination reason: Unknown
% 0.72/0.78 % (11780)Termination phase: Saturation
% 0.72/0.78
% 0.72/0.78 % (11780)Memory used [KB]: 1674
% 0.72/0.78 % (11780)Time elapsed: 0.028 s
% 0.72/0.78 % (11780)Instructions burned: 51 (million)
% 0.72/0.78 % (11780)------------------------------
% 0.72/0.78 % (11780)------------------------------
% 0.72/0.78 % (11826)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 (2996ds/360Mi)
% 0.72/0.78 % (11823)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 (2996ds/69Mi)
% 0.72/0.78 % (11824)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 (2996ds/40Mi)
% 0.72/0.78 % (11823)Refutation not found, incomplete strategy% (11823)------------------------------
% 0.72/0.78 % (11823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.78 % (11823)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.78
% 0.72/0.78 % (11823)Memory used [KB]: 1069
% 0.72/0.78 % (11823)Time elapsed: 0.004 s
% 0.72/0.78 % (11823)Instructions burned: 5 (million)
% 0.72/0.78 % (11823)------------------------------
% 0.72/0.78 % (11823)------------------------------
% 0.72/0.78 % (11828)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 (2996ds/161Mi)
% 0.72/0.78 % (11824)Refutation not found, incomplete strategy% (11824)------------------------------
% 0.72/0.78 % (11824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.78 % (11824)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.78
% 0.72/0.78 % (11824)Memory used [KB]: 1099
% 0.72/0.78 % (11824)Time elapsed: 0.007 s
% 0.72/0.78 % (11824)Instructions burned: 8 (million)
% 0.72/0.78 % (11824)------------------------------
% 0.72/0.78 % (11824)------------------------------
% 0.72/0.78 % (11831)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)
% 0.72/0.79 % (11834)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)
% 0.72/0.79 % (11816)Instruction limit reached!
% 0.72/0.79 % (11816)------------------------------
% 0.72/0.79 % (11816)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.79 % (11816)Termination reason: Unknown
% 0.72/0.79 % (11816)Termination phase: Saturation
% 0.72/0.79
% 0.72/0.79 % (11816)Memory used [KB]: 1161
% 0.72/0.79 % (11816)Time elapsed: 0.019 s
% 0.72/0.79 % (11816)Instructions burned: 36 (million)
% 0.72/0.79 % (11816)------------------------------
% 0.72/0.79 % (11816)------------------------------
% 0.72/0.79 % (11838)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)
% 0.72/0.80 % (11831)Refutation not found, incomplete strategy% (11831)------------------------------
% 0.72/0.80 % (11831)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.80 % (11831)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.80
% 0.72/0.80 % (11831)Memory used [KB]: 1088
% 0.72/0.80 % (11831)Time elapsed: 0.014 s
% 0.72/0.80 % (11831)Instructions burned: 27 (million)
% 0.72/0.80 % (11831)------------------------------
% 0.72/0.80 % (11831)------------------------------
% 0.72/0.80 % (11826)First to succeed.
% 0.72/0.80 % (11843)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.72/0.80 % (11826)Refutation found. Thanks to Tanya!
% 0.72/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.72/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.81 % (11826)------------------------------
% 0.72/0.81 % (11826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.81 % (11826)Termination reason: Refutation
% 0.72/0.81
% 0.72/0.81 % (11826)Memory used [KB]: 1502
% 0.72/0.81 % (11826)Time elapsed: 0.027 s
% 0.72/0.81 % (11826)Instructions burned: 78 (million)
% 0.72/0.81 % (11826)------------------------------
% 0.72/0.81 % (11826)------------------------------
% 0.72/0.81 % (11628)Success in time 0.423 s
% 0.72/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------