TSTP Solution File: GRP369-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP369-1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:34 EDT 2024
% Result : Unsatisfiable 0.62s 0.85s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 89
% Syntax : Number of formulae : 470 ( 35 unt; 0 def)
% Number of atoms : 1868 ( 367 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 2640 (1242 ~;1375 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 24 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-2 aty)
% Number of variables : 105 ( 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1708,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f131,f136,f141,f146,f151,f156,f161,f162,f163,f164,f165,f166,f172,f173,f174,f175,f176,f177,f183,f184,f185,f186,f187,f189,f194,f195,f196,f197,f198,f199,f205,f206,f207,f208,f209,f210,f235,f359,f382,f419,f444,f453,f483,f903,f1037,f1052,f1210,f1218,f1262,f1271,f1282,f1302,f1376,f1596,f1622,f1639,f1655,f1673,f1702,f1707]) ).
fof(f1707,plain,
( ~ spl25_8
| ~ spl25_47 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1706,plain,
( $false
| ~ spl25_8
| ~ spl25_47 ),
inference(subsumption_resolution,[],[f1705,f47]) ).
fof(f47,plain,
~ sP0(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1705,plain,
( sP0(sk_c9)
| ~ spl25_8
| ~ spl25_47 ),
inference(forward_demodulation,[],[f1663,f155]) ).
fof(f155,plain,
( sk_c9 = sF19
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl25_8
<=> sk_c9 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f1663,plain,
( sP0(sF19)
| ~ spl25_47 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1661,plain,
( spl25_47
<=> sP0(sF19) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_47])]) ).
fof(f1702,plain,
( ~ spl25_7
| ~ spl25_49 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1701,plain,
( $false
| ~ spl25_7
| ~ spl25_49 ),
inference(subsumption_resolution,[],[f1700,f48]) ).
fof(f48,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1700,plain,
( sP1(sk_c7)
| ~ spl25_7
| ~ spl25_49 ),
inference(forward_demodulation,[],[f1672,f1691]) ).
fof(f1691,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl25_7 ),
inference(backward_demodulation,[],[f72,f150]) ).
fof(f150,plain,
( sk_c7 = sF18
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl25_7
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f72,plain,
multiply(sk_c6,sk_c9) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1672,plain,
( sP1(multiply(sk_c6,sk_c9))
| ~ spl25_49 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1670,plain,
( spl25_49
<=> sP1(multiply(sk_c6,sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_49])]) ).
fof(f1673,plain,
( spl25_49
| spl25_47
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f1651,f233,f1661,f1670]) ).
fof(f233,plain,
( spl25_20
<=> ! [X8] :
( sP0(inverse(X8))
| sP1(multiply(X8,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
fof(f1651,plain,
( sP0(sF19)
| sP1(multiply(sk_c6,sk_c9))
| ~ spl25_20 ),
inference(superposition,[],[f234,f74]) ).
fof(f74,plain,
inverse(sk_c6) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f234,plain,
( ! [X8] :
( sP0(inverse(X8))
| sP1(multiply(X8,sk_c9)) )
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f1655,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1654,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1653,f1357]) ).
fof(f1357,plain,
( ~ sP1(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1307,f1339]) ).
fof(f1339,plain,
( sk_c9 = sk_c8
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1337,f1128]) ).
fof(f1128,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl25_9 ),
inference(forward_demodulation,[],[f76,f160]) ).
fof(f160,plain,
( sk_c8 = sF20
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl25_9
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f76,plain,
multiply(sk_c9,sk_c2) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1337,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f1264,f516]) ).
fof(f516,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| ~ spl25_10 ),
inference(backward_demodulation,[],[f84,f171]) ).
fof(f171,plain,
( sk_c2 = sF21
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl25_10
<=> sk_c2 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
fof(f84,plain,
multiply(sk_c1,sk_c9) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1264,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1263,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',left_identity) ).
fof(f1263,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl25_11 ),
inference(superposition,[],[f3,f1127]) ).
fof(f1127,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl25_11 ),
inference(forward_demodulation,[],[f247,f182]) ).
fof(f182,plain,
( sk_c9 = sF22
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl25_11
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f247,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',associativity) ).
fof(f1307,plain,
( ~ sP1(sk_c8)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f48,f1306]) ).
fof(f1306,plain,
( sk_c7 = sk_c8
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1304,f521]) ).
fof(f521,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| ~ spl25_1 ),
inference(backward_demodulation,[],[f62,f121]) ).
fof(f121,plain,
( sk_c8 = sF13
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl25_1
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f62,plain,
multiply(sk_c7,sk_c9) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1304,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f570,f1108]) ).
fof(f1108,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl25_12 ),
inference(forward_demodulation,[],[f100,f193]) ).
fof(f193,plain,
( sk_c9 = sF23
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl25_12
<=> sk_c9 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
fof(f100,plain,
multiply(sk_c3,sk_c7) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f570,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl25_13 ),
inference(forward_demodulation,[],[f569,f1]) ).
fof(f569,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl25_13 ),
inference(superposition,[],[f3,f509]) ).
fof(f509,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl25_13 ),
inference(backward_demodulation,[],[f248,f204]) ).
fof(f204,plain,
( sk_c7 = sF24
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl25_13
<=> sk_c7 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
fof(f248,plain,
identity = multiply(sF24,sk_c3),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
inverse(sk_c3) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1653,plain,
( sP1(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(forward_demodulation,[],[f1652,f1576]) ).
fof(f1576,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1421,f1568]) ).
fof(f1568,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1567,f1548]) ).
fof(f1548,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sF12,X0)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1450,f1544]) ).
fof(f1544,plain,
( sk_c1 = sk_c3
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1454,f1455]) ).
fof(f1455,plain,
( sk_c3 = multiply(sF12,identity)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f1421,f1365]) ).
fof(f1365,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1315,f1339]) ).
fof(f1315,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f509,f1306]) ).
fof(f1454,plain,
( sk_c1 = multiply(sF12,identity)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f1421,f1127]) ).
fof(f1450,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF12,X0)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f1421,f1369]) ).
fof(f1369,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1320,f1339]) ).
fof(f1320,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f570,f1306]) ).
fof(f1567,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1566,f1544]) ).
fof(f1566,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1369,f1550]) ).
fof(f1550,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(sk_c9,multiply(X0,X1))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1543,f1549]) ).
fof(f1549,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sF12,multiply(sk_c9,X0))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1448,f1546]) ).
fof(f1546,plain,
( sk_c9 = sk_c2
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1451,f1453]) ).
fof(f1453,plain,
( sk_c2 = multiply(sF12,sk_c9)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f1421,f1352]) ).
fof(f1352,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(backward_demodulation,[],[f1128,f1339]) ).
fof(f1451,plain,
( sk_c9 = multiply(sF12,sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f1421,f1368]) ).
fof(f1368,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1318,f1339]) ).
fof(f1318,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f521,f1306]) ).
fof(f1448,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sF12,multiply(sk_c9,X0))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f1421,f1353]) ).
fof(f1353,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(backward_demodulation,[],[f1129,f1339]) ).
fof(f1129,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl25_9 ),
inference(forward_demodulation,[],[f254,f160]) ).
fof(f254,plain,
! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f76]) ).
fof(f1543,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(sF12,multiply(sk_c9,multiply(X0,X1)))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1456,f3]) ).
fof(f1456,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(sF12,multiply(multiply(sk_c9,X0),X1))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f3,f1421]) ).
fof(f1421,plain,
( ! [X0] : multiply(sF12,multiply(sk_c9,X0)) = X0
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(forward_demodulation,[],[f1420,f1]) ).
fof(f1420,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c9,X0))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f3,f1412]) ).
fof(f1412,plain,
( identity = multiply(sF12,sk_c9)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(superposition,[],[f2,f1343]) ).
fof(f1343,plain,
( sF12 = inverse(sk_c9)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(backward_demodulation,[],[f61,f1339]) ).
fof(f61,plain,
inverse(sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1652,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1649,f47]) ).
fof(f1649,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(superposition,[],[f234,f1619]) ).
fof(f1619,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1343,f1594]) ).
fof(f1594,plain,
( sk_c9 = sF12
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1591,f1343]) ).
fof(f1591,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1572,f1587]) ).
fof(f1587,plain,
( identity = sk_c9
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1412,f1568]) ).
fof(f1572,plain,
( sk_c9 = inverse(identity)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1116,f1570]) ).
fof(f1570,plain,
( identity = sk_c1
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1545,f1568]) ).
fof(f1545,plain,
( sk_c1 = multiply(sF12,identity)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1455,f1544]) ).
fof(f1116,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl25_11 ),
inference(backward_demodulation,[],[f92,f182]) ).
fof(f1639,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18
| spl25_41 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1638,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18
| spl25_41 ),
inference(subsumption_resolution,[],[f1637,f1341]) ).
fof(f1341,plain,
( ~ sP4(sk_c9)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11 ),
inference(backward_demodulation,[],[f51,f1339]) ).
fof(f51,plain,
~ sP4(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1637,plain,
( sP4(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18
| spl25_41 ),
inference(forward_demodulation,[],[f1636,f1619]) ).
fof(f1636,plain,
( sP4(inverse(sk_c9))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18
| spl25_41 ),
inference(forward_demodulation,[],[f1635,f1619]) ).
fof(f1635,plain,
( sP4(inverse(inverse(sk_c9)))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18
| spl25_41 ),
inference(subsumption_resolution,[],[f1633,f1275]) ).
fof(f1275,plain,
( ~ sP5(sk_c9)
| spl25_41 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1274,plain,
( spl25_41
<=> sP5(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_41])]) ).
fof(f1633,plain,
( sP5(sk_c9)
| sP4(inverse(inverse(sk_c9)))
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_18 ),
inference(superposition,[],[f1624,f1604]) ).
fof(f1604,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f2,f1587]) ).
fof(f1624,plain,
( ! [X6] :
( sP5(multiply(X6,sk_c9))
| sP4(inverse(X6)) )
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_18 ),
inference(forward_demodulation,[],[f228,f1339]) ).
fof(f228,plain,
( ! [X6] :
( sP5(multiply(X6,sk_c8))
| sP4(inverse(X6)) )
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl25_18
<=> ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
fof(f1622,plain,
( ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1621,plain,
( $false
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f1617,f1359]) ).
fof(f1359,plain,
( ~ sP6(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1309,f1339]) ).
fof(f1309,plain,
( ~ sP6(sk_c8)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f53,f1306]) ).
fof(f53,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1617,plain,
( sP6(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(backward_demodulation,[],[f225,f1594]) ).
fof(f225,plain,
( sP6(sF12)
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl25_17
<=> sP6(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
fof(f1596,plain,
( ~ spl25_1
| spl25_2
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1595,plain,
( $false
| ~ spl25_1
| spl25_2
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(subsumption_resolution,[],[f1594,f1361]) ).
fof(f1361,plain,
( sk_c9 != sF12
| ~ spl25_1
| spl25_2
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1311,f1339]) ).
fof(f1311,plain,
( sk_c8 != sF12
| ~ spl25_1
| spl25_2
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f124,f1306]) ).
fof(f124,plain,
( sk_c7 != sF12
| spl25_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl25_2
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f1376,plain,
( ~ spl25_41
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(avatar_split_clause,[],[f1358,f202,f191,f180,f169,f158,f119,f1274]) ).
fof(f1358,plain,
( ~ sP5(sk_c9)
| ~ spl25_1
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1308,f1339]) ).
fof(f1308,plain,
( ~ sP5(sk_c8)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f52,f1306]) ).
fof(f52,plain,
~ sP5(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1302,plain,
( ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_15 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_15 ),
inference(subsumption_resolution,[],[f1300,f56]) ).
fof(f56,plain,
~ sP9(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1300,plain,
( sP9(sk_c9)
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_15 ),
inference(forward_demodulation,[],[f1299,f1116]) ).
fof(f1299,plain,
( sP9(inverse(sk_c1))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_15 ),
inference(subsumption_resolution,[],[f1298,f57]) ).
fof(f57,plain,
~ sP10(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1298,plain,
( sP10(sk_c8)
| sP9(inverse(sk_c1))
| ~ spl25_9
| ~ spl25_10
| ~ spl25_15 ),
inference(forward_demodulation,[],[f1288,f1128]) ).
fof(f1288,plain,
( sP10(multiply(sk_c9,sk_c2))
| sP9(inverse(sk_c1))
| ~ spl25_10
| ~ spl25_15 ),
inference(superposition,[],[f218,f516]) ).
fof(f218,plain,
( ! [X4] :
( sP10(multiply(sk_c9,multiply(X4,sk_c9)))
| sP9(inverse(X4)) )
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl25_15
<=> ! [X4] :
( sP9(inverse(X4))
| sP10(multiply(sk_c9,multiply(X4,sk_c9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
fof(f1282,plain,
( ~ spl25_14
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f522,f119,f213]) ).
fof(f213,plain,
( spl25_14
<=> sP11(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
fof(f522,plain,
( ~ sP11(sk_c8)
| ~ spl25_1 ),
inference(backward_demodulation,[],[f116,f121]) ).
fof(f116,plain,
~ sP11(sF13),
inference(definition_folding,[],[f58,f62]) ).
fof(f58,plain,
~ sP11(multiply(sk_c7,sk_c9)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1271,plain,
( ~ spl25_3
| ~ spl25_4
| ~ spl25_18 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl25_3
| ~ spl25_4
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f1269,f51]) ).
fof(f1269,plain,
( sP4(sk_c8)
| ~ spl25_3
| ~ spl25_4
| ~ spl25_18 ),
inference(forward_demodulation,[],[f1268,f240]) ).
fof(f240,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl25_4 ),
inference(backward_demodulation,[],[f66,f135]) ).
fof(f135,plain,
( sk_c8 = sF15
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl25_4
<=> sk_c8 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f66,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1268,plain,
( sP4(inverse(sk_c4))
| ~ spl25_3
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f1266,f52]) ).
fof(f1266,plain,
( sP5(sk_c7)
| sP4(inverse(sk_c4))
| ~ spl25_3
| ~ spl25_18 ),
inference(superposition,[],[f228,f1246]) ).
fof(f1246,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl25_3 ),
inference(forward_demodulation,[],[f64,f130]) ).
fof(f130,plain,
( sk_c7 = sF14
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl25_3
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f64,plain,
multiply(sk_c4,sk_c8) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1262,plain,
( ~ spl25_12
| ~ spl25_13
| ~ spl25_16 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| ~ spl25_12
| ~ spl25_13
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f1260,f54]) ).
fof(f54,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1260,plain,
( sP7(sk_c7)
| ~ spl25_12
| ~ spl25_13
| ~ spl25_16 ),
inference(forward_demodulation,[],[f1259,f510]) ).
fof(f510,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl25_13 ),
inference(backward_demodulation,[],[f108,f204]) ).
fof(f1259,plain,
( sP7(inverse(sk_c3))
| ~ spl25_12
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f1258,f55]) ).
fof(f55,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1258,plain,
( sP8(sk_c9)
| sP7(inverse(sk_c3))
| ~ spl25_12
| ~ spl25_16 ),
inference(superposition,[],[f221,f1108]) ).
fof(f221,plain,
( ! [X5] :
( sP8(multiply(X5,sk_c7))
| sP7(inverse(X5)) )
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl25_16
<=> ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(X5,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
fof(f1218,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f1216,f1215]) ).
fof(f1215,plain,
( ~ sP6(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f53,f1160]) ).
fof(f1160,plain,
( sk_c7 = sk_c9
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1155,f1156]) ).
fof(f1156,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1144,f1142]) ).
fof(f1142,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,X0)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12 ),
inference(backward_demodulation,[],[f1100,f1139]) ).
fof(f1139,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4 ),
inference(forward_demodulation,[],[f1,f1131]) ).
fof(f1131,plain,
( identity = sk_c7
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4 ),
inference(forward_demodulation,[],[f243,f1130]) ).
fof(f1130,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4 ),
inference(forward_demodulation,[],[f675,f130]) ).
fof(f675,plain,
( sF14 = multiply(sk_c7,sk_c8)
| ~ spl25_2
| ~ spl25_4 ),
inference(forward_demodulation,[],[f64,f574]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,X0)
| ~ spl25_2
| ~ spl25_4 ),
inference(forward_demodulation,[],[f573,f1]) ).
fof(f573,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl25_2
| ~ spl25_4 ),
inference(superposition,[],[f3,f270]) ).
fof(f270,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl25_2
| ~ spl25_4 ),
inference(superposition,[],[f264,f244]) ).
fof(f244,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl25_4 ),
inference(superposition,[],[f2,f240]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl25_2 ),
inference(forward_demodulation,[],[f253,f1]) ).
fof(f253,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl25_2 ),
inference(superposition,[],[f3,f243]) ).
fof(f243,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl25_2 ),
inference(superposition,[],[f2,f242]) ).
fof(f242,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl25_2 ),
inference(backward_demodulation,[],[f61,f125]) ).
fof(f125,plain,
( sk_c7 = sF12
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f1100,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl25_12 ),
inference(forward_demodulation,[],[f260,f193]) ).
fof(f260,plain,
! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f100]) ).
fof(f1144,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_13 ),
inference(backward_demodulation,[],[f570,f1139]) ).
fof(f1155,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12 ),
inference(backward_demodulation,[],[f1108,f1142]) ).
fof(f1216,plain,
( sP6(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13
| ~ spl25_17 ),
inference(forward_demodulation,[],[f225,f1171]) ).
fof(f1171,plain,
( sk_c9 = sF12
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f125,f1160]) ).
fof(f1210,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1209,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1208,f1168]) ).
fof(f1168,plain,
( ~ sP1(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f48,f1160]) ).
fof(f1208,plain,
( sP1(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(forward_demodulation,[],[f1207,f1156]) ).
fof(f1207,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1206,f47]) ).
fof(f1206,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13
| ~ spl25_20 ),
inference(superposition,[],[f234,f1193]) ).
fof(f1193,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1175,f1184]) ).
fof(f1184,plain,
( sk_c9 = sk_c8
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f1161,f1165]) ).
fof(f1165,plain,
( sk_c9 = sk_c2
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1163,f1159]) ).
fof(f1159,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1150,f1156]) ).
fof(f1150,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9 ),
inference(backward_demodulation,[],[f1129,f1140]) ).
fof(f1140,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4 ),
inference(backward_demodulation,[],[f575,f1139]) ).
fof(f575,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl25_2
| ~ spl25_4 ),
inference(backward_demodulation,[],[f265,f574]) ).
fof(f265,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl25_4 ),
inference(forward_demodulation,[],[f255,f1]) ).
fof(f255,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl25_4 ),
inference(superposition,[],[f3,f244]) ).
fof(f1163,plain,
( sk_c2 = multiply(sk_c2,sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f516,f1158]) ).
fof(f1158,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,X0)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_10
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f515,f1156]) ).
fof(f515,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl25_10 ),
inference(backward_demodulation,[],[f259,f171]) ).
fof(f259,plain,
! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f84]) ).
fof(f1161,plain,
( sk_c8 = sk_c2
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_9
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f1128,f1156]) ).
fof(f1175,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f242,f1160]) ).
fof(f1052,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_8
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1050,f986]) ).
fof(f986,plain,
( ~ sP1(sk_c9)
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(backward_demodulation,[],[f927,f975]) ).
fof(f975,plain,
( sk_c9 = sk_c8
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f974,f926]) ).
fof(f926,plain,
( sk_c7 = sk_c8
| ~ spl25_1
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(forward_demodulation,[],[f925,f521]) ).
fof(f925,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(backward_demodulation,[],[f237,f919]) ).
fof(f919,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(backward_demodulation,[],[f258,f909]) ).
fof(f909,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f679,f906]) ).
fof(f906,plain,
( sk_c9 = sF14
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f140,f676]) ).
fof(f676,plain,
( sF14 = sF16
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f675,f668]) ).
fof(f668,plain,
( sF16 = multiply(sk_c7,sk_c8)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(backward_demodulation,[],[f243,f665]) ).
fof(f665,plain,
( identity = sF16
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f664,f243]) ).
fof(f664,plain,
( sF16 = multiply(sk_c7,sk_c8)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f507,f574]) ).
fof(f507,plain,
( multiply(sk_c4,sk_c8) = sF16
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f68,f273]) ).
fof(f273,plain,
( sk_c4 = sk_c5
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(forward_demodulation,[],[f271,f270]) ).
fof(f271,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl25_2
| ~ spl25_6 ),
inference(superposition,[],[f264,f245]) ).
fof(f245,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl25_6 ),
inference(superposition,[],[f2,f238]) ).
fof(f238,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl25_6 ),
inference(backward_demodulation,[],[f70,f145]) ).
fof(f145,plain,
( sk_c8 = sF17
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl25_6
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f70,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f68,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f140,plain,
( sk_c9 = sF16
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl25_5
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f679,plain,
( ! [X0] : multiply(sF14,X0) = X0
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(backward_demodulation,[],[f666,f676]) ).
fof(f666,plain,
( ! [X0] : multiply(sF16,X0) = X0
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(backward_demodulation,[],[f1,f665]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl25_7 ),
inference(superposition,[],[f3,f237]) ).
fof(f237,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl25_7 ),
inference(backward_demodulation,[],[f72,f150]) ).
fof(f974,plain,
( sk_c7 = sk_c9
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f130,f906]) ).
fof(f927,plain,
( ~ sP1(sk_c8)
| ~ spl25_1
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7 ),
inference(backward_demodulation,[],[f48,f926]) ).
fof(f1050,plain,
( sP1(sk_c9)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8
| ~ spl25_20 ),
inference(forward_demodulation,[],[f1049,f909]) ).
fof(f1049,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1047,f47]) ).
fof(f1047,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8
| ~ spl25_20 ),
inference(superposition,[],[f234,f1031]) ).
fof(f1031,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8 ),
inference(backward_demodulation,[],[f905,f1029]) ).
fof(f1029,plain,
( sk_c9 = sk_c6
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8 ),
inference(forward_demodulation,[],[f1026,f909]) ).
fof(f1026,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_8 ),
inference(superposition,[],[f910,f905]) ).
fof(f910,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f680,f906]) ).
fof(f680,plain,
( ! [X0] : multiply(inverse(X0),X0) = sF14
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(backward_demodulation,[],[f667,f676]) ).
fof(f667,plain,
( ! [X0] : multiply(inverse(X0),X0) = sF16
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6 ),
inference(backward_demodulation,[],[f2,f665]) ).
fof(f905,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl25_8 ),
inference(backward_demodulation,[],[f74,f155]) ).
fof(f1037,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_11
| ~ spl25_20 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_7
| ~ spl25_11
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1035,f986]) ).
fof(f1035,plain,
( sP1(sk_c9)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11
| ~ spl25_20 ),
inference(forward_demodulation,[],[f1034,f909]) ).
fof(f1034,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11
| ~ spl25_20 ),
inference(subsumption_resolution,[],[f1033,f47]) ).
fof(f1033,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11
| ~ spl25_20 ),
inference(superposition,[],[f234,f966]) ).
fof(f966,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11 ),
inference(backward_demodulation,[],[f514,f964]) ).
fof(f964,plain,
( sk_c9 = sk_c1
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11 ),
inference(forward_demodulation,[],[f915,f909]) ).
fof(f915,plain,
( sk_c9 = multiply(sk_c9,sk_c1)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_11 ),
inference(backward_demodulation,[],[f686,f906]) ).
fof(f686,plain,
( sF14 = multiply(sk_c9,sk_c1)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6
| ~ spl25_11 ),
inference(backward_demodulation,[],[f673,f676]) ).
fof(f673,plain,
( sF16 = multiply(sk_c9,sk_c1)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_6
| ~ spl25_11 ),
inference(backward_demodulation,[],[f513,f665]) ).
fof(f513,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl25_11 ),
inference(backward_demodulation,[],[f247,f182]) ).
fof(f514,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl25_11 ),
inference(backward_demodulation,[],[f92,f182]) ).
fof(f903,plain,
( ~ spl25_1
| ~ spl25_12
| ~ spl25_13
| ~ spl25_19 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f902,plain,
( $false
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f901,f49]) ).
fof(f49,plain,
~ sP2(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f901,plain,
( sP2(sk_c8)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13
| ~ spl25_19 ),
inference(forward_demodulation,[],[f900,f753]) ).
fof(f753,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f510,f740]) ).
fof(f740,plain,
( sk_c7 = sk_c8
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(forward_demodulation,[],[f738,f521]) ).
fof(f738,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl25_12
| ~ spl25_13 ),
inference(superposition,[],[f570,f512]) ).
fof(f512,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl25_12 ),
inference(backward_demodulation,[],[f100,f193]) ).
fof(f900,plain,
( sP2(inverse(sk_c3))
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f898,f50]) ).
fof(f50,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f898,plain,
( sP3(sk_c9)
| sP2(inverse(sk_c3))
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13
| ~ spl25_19 ),
inference(superposition,[],[f231,f755]) ).
fof(f755,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl25_1
| ~ spl25_12
| ~ spl25_13 ),
inference(backward_demodulation,[],[f512,f740]) ).
fof(f231,plain,
( ! [X7] :
( sP3(multiply(X7,sk_c8))
| sP2(inverse(X7)) )
| ~ spl25_19 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl25_19
<=> ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).
fof(f483,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f481,f50]) ).
fof(f481,plain,
( sP3(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(forward_demodulation,[],[f480,f314]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f311,f285]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f264,f279]) ).
fof(f279,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f275,f256]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl25_3 ),
inference(superposition,[],[f3,f241]) ).
fof(f241,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl25_3 ),
inference(backward_demodulation,[],[f64,f130]) ).
fof(f275,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f257,f273]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl25_5 ),
inference(superposition,[],[f3,f239]) ).
fof(f239,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl25_5 ),
inference(backward_demodulation,[],[f68,f140]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f282,f310]) ).
fof(f310,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
( sk_c4 = multiply(sk_c9,identity)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f270,f279]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f256,f279]) ).
fof(f480,plain,
( sP3(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(subsumption_resolution,[],[f477,f345]) ).
fof(f345,plain,
( ~ sP2(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f49,f344]) ).
fof(f344,plain,
( sk_c9 = sk_c8
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f342,f299]) ).
fof(f299,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f242,f288]) ).
fof(f288,plain,
( sk_c7 = sk_c9
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(forward_demodulation,[],[f277,f241]) ).
fof(f277,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl25_2
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f239,f273]) ).
fof(f342,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f331,f325]) ).
fof(f325,plain,
( identity = sk_c8
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f287,f314]) ).
fof(f287,plain,
( identity = multiply(sk_c9,sk_c8)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f243,f279]) ).
fof(f331,plain,
( sk_c8 = inverse(identity)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f240,f320]) ).
fof(f320,plain,
( identity = sk_c4
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f283,f314]) ).
fof(f477,plain,
( sP2(sk_c9)
| sP3(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(superposition,[],[f476,f351]) ).
fof(f351,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f299,f344]) ).
fof(f476,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c9)) )
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_19 ),
inference(forward_demodulation,[],[f231,f344]) ).
fof(f453,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f451,f290]) ).
fof(f290,plain,
( ~ sP5(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f52,f288]) ).
fof(f451,plain,
( sP5(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(forward_demodulation,[],[f450,f314]) ).
fof(f450,plain,
( sP5(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(subsumption_resolution,[],[f447,f346]) ).
fof(f346,plain,
( ~ sP4(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f51,f344]) ).
fof(f447,plain,
( sP4(sk_c9)
| sP5(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(superposition,[],[f445,f351]) ).
fof(f445,plain,
( ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c9)) )
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_18 ),
inference(forward_demodulation,[],[f228,f344]) ).
fof(f444,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_17 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_17 ),
inference(subsumption_resolution,[],[f442,f291]) ).
fof(f291,plain,
( ~ sP6(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f53,f288]) ).
fof(f442,plain,
( sP6(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_17 ),
inference(forward_demodulation,[],[f225,f294]) ).
fof(f294,plain,
( sk_c9 = sF12
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f125,f288]) ).
fof(f419,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f417,f55]) ).
fof(f417,plain,
( sP8(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(forward_demodulation,[],[f416,f314]) ).
fof(f416,plain,
( sP8(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(subsumption_resolution,[],[f413,f292]) ).
fof(f292,plain,
( ~ sP7(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f54,f288]) ).
fof(f413,plain,
( sP7(sk_c9)
| sP8(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(superposition,[],[f405,f351]) ).
fof(f405,plain,
( ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(X5,sk_c9)) )
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_16 ),
inference(forward_demodulation,[],[f221,f288]) ).
fof(f382,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(subsumption_resolution,[],[f380,f347]) ).
fof(f347,plain,
( ~ sP10(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f57,f344]) ).
fof(f380,plain,
( sP10(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(forward_demodulation,[],[f379,f314]) ).
fof(f379,plain,
( sP10(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(subsumption_resolution,[],[f376,f56]) ).
fof(f376,plain,
( sP9(sk_c9)
| sP10(multiply(sk_c9,sk_c9))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(superposition,[],[f367,f351]) ).
fof(f367,plain,
( ! [X4] :
( sP9(inverse(X4))
| sP10(multiply(X4,sk_c9)) )
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_15 ),
inference(forward_demodulation,[],[f218,f314]) ).
fof(f359,plain,
( ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_14 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_14 ),
inference(subsumption_resolution,[],[f350,f336]) ).
fof(f336,plain,
( ~ sP11(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f116,f324]) ).
fof(f324,plain,
( sk_c9 = sF13
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f286,f314]) ).
fof(f286,plain,
( sF13 = multiply(sk_c9,sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6 ),
inference(backward_demodulation,[],[f62,f279]) ).
fof(f350,plain,
( sP11(sk_c9)
| ~ spl25_2
| ~ spl25_3
| ~ spl25_4
| ~ spl25_5
| ~ spl25_6
| ~ spl25_14 ),
inference(backward_demodulation,[],[f215,f344]) ).
fof(f215,plain,
( sP11(sk_c8)
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f235,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19
| spl25_20 ),
inference(avatar_split_clause,[],[f117,f233,f230,f227,f223,f220,f217,f213]) ).
fof(f117,plain,
! [X8,X6,X7,X4,X5] :
( sP0(inverse(X8))
| sP1(multiply(X8,sk_c9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c8))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c8))
| sP6(sF12)
| sP7(inverse(X5))
| sP8(multiply(X5,sk_c7))
| sP9(inverse(X4))
| sP10(multiply(sk_c9,multiply(X4,sk_c9)))
| sP11(sk_c8) ),
inference(definition_folding,[],[f60,f61]) ).
fof(f60,plain,
! [X8,X6,X7,X4,X5] :
( sP0(inverse(X8))
| sP1(multiply(X8,sk_c9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c8))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c8))
| sP6(inverse(sk_c8))
| sP7(inverse(X5))
| sP8(multiply(X5,sk_c7))
| sP9(inverse(X4))
| sP10(multiply(sk_c9,multiply(X4,sk_c9)))
| sP11(sk_c8) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(inverse(X8))
| sP1(multiply(X8,sk_c9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c8))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c8))
| sP6(inverse(sk_c8))
| sP7(inverse(X5))
| sP8(multiply(X5,sk_c7))
| sP9(inverse(X4))
| multiply(X4,sk_c9) != X3
| sP10(multiply(sk_c9,X3))
| sP11(sk_c8) ),
inference(inequality_splitting,[],[f46,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47]) ).
fof(f46,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != inverse(sk_c8)
| sk_c7 != inverse(X5)
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X4)
| multiply(X4,sk_c9) != X3
| sk_c8 != multiply(sk_c9,X3)
| multiply(sk_c7,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_43) ).
fof(f210,plain,
( spl25_13
| spl25_7 ),
inference(avatar_split_clause,[],[f114,f148,f202]) ).
fof(f114,plain,
( sk_c7 = sF18
| sk_c7 = sF24 ),
inference(definition_folding,[],[f44,f108,f72]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_41) ).
fof(f209,plain,
( spl25_13
| spl25_6 ),
inference(avatar_split_clause,[],[f113,f143,f202]) ).
fof(f113,plain,
( sk_c8 = sF17
| sk_c7 = sF24 ),
inference(definition_folding,[],[f43,f108,f70]) ).
fof(f43,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_40) ).
fof(f208,plain,
( spl25_13
| spl25_5 ),
inference(avatar_split_clause,[],[f112,f138,f202]) ).
fof(f112,plain,
( sk_c9 = sF16
| sk_c7 = sF24 ),
inference(definition_folding,[],[f42,f108,f68]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_39) ).
fof(f207,plain,
( spl25_13
| spl25_4 ),
inference(avatar_split_clause,[],[f111,f133,f202]) ).
fof(f111,plain,
( sk_c8 = sF15
| sk_c7 = sF24 ),
inference(definition_folding,[],[f41,f108,f66]) ).
fof(f41,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_38) ).
fof(f206,plain,
( spl25_13
| spl25_3 ),
inference(avatar_split_clause,[],[f110,f128,f202]) ).
fof(f110,plain,
( sk_c7 = sF14
| sk_c7 = sF24 ),
inference(definition_folding,[],[f40,f108,f64]) ).
fof(f40,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_37) ).
fof(f205,plain,
( spl25_13
| spl25_2 ),
inference(avatar_split_clause,[],[f109,f123,f202]) ).
fof(f109,plain,
( sk_c7 = sF12
| sk_c7 = sF24 ),
inference(definition_folding,[],[f39,f108,f61]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_36) ).
fof(f199,plain,
( spl25_12
| spl25_7 ),
inference(avatar_split_clause,[],[f106,f148,f191]) ).
fof(f106,plain,
( sk_c7 = sF18
| sk_c9 = sF23 ),
inference(definition_folding,[],[f37,f100,f72]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_34) ).
fof(f198,plain,
( spl25_12
| spl25_6 ),
inference(avatar_split_clause,[],[f105,f143,f191]) ).
fof(f105,plain,
( sk_c8 = sF17
| sk_c9 = sF23 ),
inference(definition_folding,[],[f36,f100,f70]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_33) ).
fof(f197,plain,
( spl25_12
| spl25_5 ),
inference(avatar_split_clause,[],[f104,f138,f191]) ).
fof(f104,plain,
( sk_c9 = sF16
| sk_c9 = sF23 ),
inference(definition_folding,[],[f35,f100,f68]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_32) ).
fof(f196,plain,
( spl25_12
| spl25_4 ),
inference(avatar_split_clause,[],[f103,f133,f191]) ).
fof(f103,plain,
( sk_c8 = sF15
| sk_c9 = sF23 ),
inference(definition_folding,[],[f34,f100,f66]) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_31) ).
fof(f195,plain,
( spl25_12
| spl25_3 ),
inference(avatar_split_clause,[],[f102,f128,f191]) ).
fof(f102,plain,
( sk_c7 = sF14
| sk_c9 = sF23 ),
inference(definition_folding,[],[f33,f100,f64]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_30) ).
fof(f194,plain,
( spl25_12
| spl25_2 ),
inference(avatar_split_clause,[],[f101,f123,f191]) ).
fof(f101,plain,
( sk_c7 = sF12
| sk_c9 = sF23 ),
inference(definition_folding,[],[f32,f100,f61]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_29) ).
fof(f189,plain,
( spl25_11
| spl25_8 ),
inference(avatar_split_clause,[],[f99,f153,f180]) ).
fof(f99,plain,
( sk_c9 = sF19
| sk_c9 = sF22 ),
inference(definition_folding,[],[f31,f92,f74]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_28) ).
fof(f187,plain,
( spl25_11
| spl25_6 ),
inference(avatar_split_clause,[],[f97,f143,f180]) ).
fof(f97,plain,
( sk_c8 = sF17
| sk_c9 = sF22 ),
inference(definition_folding,[],[f29,f92,f70]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_26) ).
fof(f186,plain,
( spl25_11
| spl25_5 ),
inference(avatar_split_clause,[],[f96,f138,f180]) ).
fof(f96,plain,
( sk_c9 = sF16
| sk_c9 = sF22 ),
inference(definition_folding,[],[f28,f92,f68]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_25) ).
fof(f185,plain,
( spl25_11
| spl25_4 ),
inference(avatar_split_clause,[],[f95,f133,f180]) ).
fof(f95,plain,
( sk_c8 = sF15
| sk_c9 = sF22 ),
inference(definition_folding,[],[f27,f92,f66]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_24) ).
fof(f184,plain,
( spl25_11
| spl25_3 ),
inference(avatar_split_clause,[],[f94,f128,f180]) ).
fof(f94,plain,
( sk_c7 = sF14
| sk_c9 = sF22 ),
inference(definition_folding,[],[f26,f92,f64]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_23) ).
fof(f183,plain,
( spl25_11
| spl25_2 ),
inference(avatar_split_clause,[],[f93,f123,f180]) ).
fof(f93,plain,
( sk_c7 = sF12
| sk_c9 = sF22 ),
inference(definition_folding,[],[f25,f92,f61]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_22) ).
fof(f177,plain,
( spl25_10
| spl25_7 ),
inference(avatar_split_clause,[],[f90,f148,f169]) ).
fof(f90,plain,
( sk_c7 = sF18
| sk_c2 = sF21 ),
inference(definition_folding,[],[f23,f84,f72]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_20) ).
fof(f176,plain,
( spl25_10
| spl25_6 ),
inference(avatar_split_clause,[],[f89,f143,f169]) ).
fof(f89,plain,
( sk_c8 = sF17
| sk_c2 = sF21 ),
inference(definition_folding,[],[f22,f84,f70]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_19) ).
fof(f175,plain,
( spl25_10
| spl25_5 ),
inference(avatar_split_clause,[],[f88,f138,f169]) ).
fof(f88,plain,
( sk_c9 = sF16
| sk_c2 = sF21 ),
inference(definition_folding,[],[f21,f84,f68]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_18) ).
fof(f174,plain,
( spl25_10
| spl25_4 ),
inference(avatar_split_clause,[],[f87,f133,f169]) ).
fof(f87,plain,
( sk_c8 = sF15
| sk_c2 = sF21 ),
inference(definition_folding,[],[f20,f84,f66]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_17) ).
fof(f173,plain,
( spl25_10
| spl25_3 ),
inference(avatar_split_clause,[],[f86,f128,f169]) ).
fof(f86,plain,
( sk_c7 = sF14
| sk_c2 = sF21 ),
inference(definition_folding,[],[f19,f84,f64]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_16) ).
fof(f172,plain,
( spl25_10
| spl25_2 ),
inference(avatar_split_clause,[],[f85,f123,f169]) ).
fof(f85,plain,
( sk_c7 = sF12
| sk_c2 = sF21 ),
inference(definition_folding,[],[f18,f84,f61]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_15) ).
fof(f166,plain,
( spl25_9
| spl25_7 ),
inference(avatar_split_clause,[],[f82,f148,f158]) ).
fof(f82,plain,
( sk_c7 = sF18
| sk_c8 = sF20 ),
inference(definition_folding,[],[f16,f76,f72]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_13) ).
fof(f165,plain,
( spl25_9
| spl25_6 ),
inference(avatar_split_clause,[],[f81,f143,f158]) ).
fof(f81,plain,
( sk_c8 = sF17
| sk_c8 = sF20 ),
inference(definition_folding,[],[f15,f76,f70]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_12) ).
fof(f164,plain,
( spl25_9
| spl25_5 ),
inference(avatar_split_clause,[],[f80,f138,f158]) ).
fof(f80,plain,
( sk_c9 = sF16
| sk_c8 = sF20 ),
inference(definition_folding,[],[f14,f76,f68]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_11) ).
fof(f163,plain,
( spl25_9
| spl25_4 ),
inference(avatar_split_clause,[],[f79,f133,f158]) ).
fof(f79,plain,
( sk_c8 = sF15
| sk_c8 = sF20 ),
inference(definition_folding,[],[f13,f76,f66]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_10) ).
fof(f162,plain,
( spl25_9
| spl25_3 ),
inference(avatar_split_clause,[],[f78,f128,f158]) ).
fof(f78,plain,
( sk_c7 = sF14
| sk_c8 = sF20 ),
inference(definition_folding,[],[f12,f76,f64]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_9) ).
fof(f161,plain,
( spl25_9
| spl25_2 ),
inference(avatar_split_clause,[],[f77,f123,f158]) ).
fof(f77,plain,
( sk_c7 = sF12
| sk_c8 = sF20 ),
inference(definition_folding,[],[f11,f76,f61]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_8) ).
fof(f156,plain,
( spl25_1
| spl25_8 ),
inference(avatar_split_clause,[],[f75,f153,f119]) ).
fof(f75,plain,
( sk_c9 = sF19
| sk_c8 = sF13 ),
inference(definition_folding,[],[f10,f62,f74]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_7) ).
fof(f151,plain,
( spl25_1
| spl25_7 ),
inference(avatar_split_clause,[],[f73,f148,f119]) ).
fof(f73,plain,
( sk_c7 = sF18
| sk_c8 = sF13 ),
inference(definition_folding,[],[f9,f62,f72]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_6) ).
fof(f146,plain,
( spl25_1
| spl25_6 ),
inference(avatar_split_clause,[],[f71,f143,f119]) ).
fof(f71,plain,
( sk_c8 = sF17
| sk_c8 = sF13 ),
inference(definition_folding,[],[f8,f62,f70]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_5) ).
fof(f141,plain,
( spl25_1
| spl25_5 ),
inference(avatar_split_clause,[],[f69,f138,f119]) ).
fof(f69,plain,
( sk_c9 = sF16
| sk_c8 = sF13 ),
inference(definition_folding,[],[f7,f62,f68]) ).
fof(f7,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_4) ).
fof(f136,plain,
( spl25_1
| spl25_4 ),
inference(avatar_split_clause,[],[f67,f133,f119]) ).
fof(f67,plain,
( sk_c8 = sF15
| sk_c8 = sF13 ),
inference(definition_folding,[],[f6,f62,f66]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_3) ).
fof(f131,plain,
( spl25_1
| spl25_3 ),
inference(avatar_split_clause,[],[f65,f128,f119]) ).
fof(f65,plain,
( sk_c7 = sF14
| sk_c8 = sF13 ),
inference(definition_folding,[],[f5,f62,f64]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_2) ).
fof(f126,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f63,f123,f119]) ).
fof(f63,plain,
( sk_c7 = sF12
| sk_c8 = sF13 ),
inference(definition_folding,[],[f4,f62,f61]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c8)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.mycaEpdx8J/Vampire---4.8_23235',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP369-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % 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 : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:54:53 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.mycaEpdx8J/Vampire---4.8_23235
% 0.62/0.78 % (23433)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 (2995ds/83Mi)
% 0.62/0.78 % (23434)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 (2995ds/56Mi)
% 0.62/0.78 % (23427)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 (2995ds/34Mi)
% 0.62/0.78 % (23428)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 (2995ds/51Mi)
% 0.62/0.78 % (23430)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.78 % (23429)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.78 % (23431)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 (2995ds/34Mi)
% 0.62/0.78 % (23432)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.78 % (23434)Refutation not found, incomplete strategy% (23434)------------------------------
% 0.62/0.78 % (23434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (23434)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78
% 0.62/0.78 % (23434)Memory used [KB]: 993
% 0.62/0.78 % (23434)Time elapsed: 0.004 s
% 0.62/0.78 % (23434)Instructions burned: 4 (million)
% 0.62/0.79 % (23434)------------------------------
% 0.62/0.79 % (23434)------------------------------
% 0.62/0.79 % (23427)Refutation not found, incomplete strategy% (23427)------------------------------
% 0.62/0.79 % (23427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23427)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23427)Memory used [KB]: 1008
% 0.62/0.79 % (23427)Time elapsed: 0.006 s
% 0.62/0.79 % (23427)Instructions burned: 4 (million)
% 0.62/0.79 % (23427)------------------------------
% 0.62/0.79 % (23427)------------------------------
% 0.62/0.79 % (23430)Refutation not found, incomplete strategy% (23430)------------------------------
% 0.62/0.79 % (23430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23430)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23430)Memory used [KB]: 989
% 0.62/0.79 % (23430)Time elapsed: 0.006 s
% 0.62/0.79 % (23430)Instructions burned: 4 (million)
% 0.62/0.79 % (23431)Refutation not found, incomplete strategy% (23431)------------------------------
% 0.62/0.79 % (23431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23431)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23431)Memory used [KB]: 1023
% 0.62/0.79 % (23431)Time elapsed: 0.007 s
% 0.62/0.79 % (23431)Instructions burned: 5 (million)
% 0.62/0.79 % (23430)------------------------------
% 0.62/0.79 % (23430)------------------------------
% 0.62/0.79 % (23429)Refutation not found, incomplete strategy% (23429)------------------------------
% 0.62/0.79 % (23429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23429)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23431)------------------------------
% 0.62/0.79 % (23431)------------------------------
% 0.62/0.79 % (23429)Memory used [KB]: 1060
% 0.62/0.79 % (23432)Refutation not found, incomplete strategy% (23432)------------------------------
% 0.62/0.79 % (23432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23429)Time elapsed: 0.007 s
% 0.62/0.79 % (23432)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23429)Instructions burned: 5 (million)
% 0.62/0.79 % (23432)Memory used [KB]: 1059
% 0.62/0.79 % (23432)Time elapsed: 0.007 s
% 0.62/0.79 % (23432)Instructions burned: 5 (million)
% 0.62/0.79 % (23432)------------------------------
% 0.62/0.79 % (23432)------------------------------
% 0.62/0.79 % (23429)------------------------------
% 0.62/0.79 % (23429)------------------------------
% 0.62/0.79 % (23435)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 (2995ds/55Mi)
% 0.62/0.79 % (23436)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 (2995ds/50Mi)
% 0.62/0.79 % (23435)Refutation not found, incomplete strategy% (23435)------------------------------
% 0.62/0.79 % (23435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23435)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23435)Memory used [KB]: 1061
% 0.62/0.79 % (23435)Time elapsed: 0.005 s
% 0.62/0.79 % (23435)Instructions burned: 5 (million)
% 0.62/0.79 % (23438)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 (2995ds/52Mi)
% 0.62/0.79 % (23435)------------------------------
% 0.62/0.79 % (23435)------------------------------
% 0.62/0.79 % (23437)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 (2995ds/208Mi)
% 0.62/0.79 % (23439)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 (2995ds/518Mi)
% 0.62/0.79 % (23440)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 (2995ds/42Mi)
% 0.62/0.79 % (23436)Refutation not found, incomplete strategy% (23436)------------------------------
% 0.62/0.79 % (23436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23436)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23436)Memory used [KB]: 997
% 0.62/0.79 % (23436)Time elapsed: 0.005 s
% 0.62/0.79 % (23436)Instructions burned: 6 (million)
% 0.62/0.79 % (23436)------------------------------
% 0.62/0.79 % (23436)------------------------------
% 0.62/0.79 % (23438)Refutation not found, incomplete strategy% (23438)------------------------------
% 0.62/0.79 % (23438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (23438)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (23438)Memory used [KB]: 1060
% 0.62/0.79 % (23438)Time elapsed: 0.004 s
% 0.62/0.79 % (23438)Instructions burned: 5 (million)
% 0.62/0.79 % (23438)------------------------------
% 0.62/0.79 % (23438)------------------------------
% 0.62/0.80 % (23440)Refutation not found, incomplete strategy% (23440)------------------------------
% 0.62/0.80 % (23440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23440)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23440)Memory used [KB]: 1030
% 0.62/0.80 % (23440)Time elapsed: 0.004 s
% 0.62/0.80 % (23440)Instructions burned: 4 (million)
% 0.62/0.80 % (23439)Refutation not found, incomplete strategy% (23439)------------------------------
% 0.62/0.80 % (23439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23443)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 (2995ds/243Mi)
% 0.62/0.80 % (23439)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23439)Memory used [KB]: 1058
% 0.62/0.80 % (23439)Time elapsed: 0.005 s
% 0.62/0.80 % (23439)Instructions burned: 5 (million)
% 0.62/0.80 % (23440)------------------------------
% 0.62/0.80 % (23440)------------------------------
% 0.62/0.80 % (23439)------------------------------
% 0.62/0.80 % (23439)------------------------------
% 0.62/0.80 % (23437)Refutation not found, incomplete strategy% (23437)------------------------------
% 0.62/0.80 % (23437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23437)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80 % (23444)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 (2995ds/117Mi)
% 0.62/0.80
% 0.62/0.80 % (23437)Memory used [KB]: 1097
% 0.62/0.80 % (23437)Time elapsed: 0.007 s
% 0.62/0.80 % (23437)Instructions burned: 9 (million)
% 0.62/0.80 % (23437)------------------------------
% 0.62/0.80 % (23437)------------------------------
% 0.62/0.80 % (23445)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 (2995ds/143Mi)
% 0.62/0.80 % (23447)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 (2995ds/93Mi)
% 0.62/0.80 % (23444)Refutation not found, incomplete strategy% (23444)------------------------------
% 0.62/0.80 % (23444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23444)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80 % (23448)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.62/0.80
% 0.62/0.80 % (23444)Memory used [KB]: 1010
% 0.62/0.80 % (23444)Time elapsed: 0.004 s
% 0.62/0.80 % (23444)Instructions burned: 4 (million)
% 0.62/0.80 % (23444)------------------------------
% 0.62/0.80 % (23444)------------------------------
% 0.62/0.80 % (23445)Refutation not found, incomplete strategy% (23445)------------------------------
% 0.62/0.80 % (23445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23445)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23445)Memory used [KB]: 1010
% 0.62/0.80 % (23445)Time elapsed: 0.004 s
% 0.62/0.80 % (23445)Instructions burned: 4 (million)
% 0.62/0.80 % (23445)------------------------------
% 0.62/0.80 % (23445)------------------------------
% 0.62/0.80 % (23448)Refutation not found, incomplete strategy% (23448)------------------------------
% 0.62/0.80 % (23448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (23448)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (23448)Memory used [KB]: 1010
% 0.62/0.80 % (23448)Time elapsed: 0.003 s
% 0.62/0.80 % (23448)Instructions burned: 4 (million)
% 0.62/0.80 % (23448)------------------------------
% 0.62/0.80 % (23448)------------------------------
% 0.62/0.80 % (23449)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.62/0.80 % (23450)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.62/0.80 % (23451)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.81 % (23452)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.62/0.81 % (23450)Refutation not found, incomplete strategy% (23450)------------------------------
% 0.62/0.81 % (23450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23450)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (23450)Memory used [KB]: 1060
% 0.62/0.81 % (23450)Time elapsed: 0.004 s
% 0.62/0.81 % (23450)Instructions burned: 5 (million)
% 0.62/0.81 % (23450)------------------------------
% 0.62/0.81 % (23450)------------------------------
% 0.62/0.81 % (23451)Refutation not found, incomplete strategy% (23451)------------------------------
% 0.62/0.81 % (23451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23451)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (23451)Memory used [KB]: 1026
% 0.62/0.81 % (23451)Time elapsed: 0.003 s
% 0.62/0.81 % (23451)Instructions burned: 5 (million)
% 0.62/0.81 % (23451)------------------------------
% 0.62/0.81 % (23451)------------------------------
% 0.62/0.81 % (23454)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.62/0.81 % (23428)Instruction limit reached!
% 0.62/0.81 % (23428)------------------------------
% 0.62/0.81 % (23428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23428)Termination reason: Unknown
% 0.62/0.81 % (23428)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (23428)Memory used [KB]: 1721
% 0.62/0.81 % (23428)Time elapsed: 0.028 s
% 0.62/0.81 % (23428)Instructions burned: 51 (million)
% 0.62/0.81 % (23428)------------------------------
% 0.62/0.81 % (23428)------------------------------
% 0.62/0.81 % (23455)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.62/0.81 % (23454)Refutation not found, incomplete strategy% (23454)------------------------------
% 0.62/0.81 % (23454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23454)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (23454)Memory used [KB]: 1016
% 0.62/0.81 % (23454)Time elapsed: 0.002 s
% 0.62/0.81 % (23454)Instructions burned: 4 (million)
% 0.62/0.81 % (23454)------------------------------
% 0.62/0.81 % (23454)------------------------------
% 0.62/0.81 % (23456)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.62/0.81 % (23433)Instruction limit reached!
% 0.62/0.81 % (23433)------------------------------
% 0.62/0.81 % (23433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23433)Termination reason: Unknown
% 0.62/0.81 % (23433)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (23433)Memory used [KB]: 2192
% 0.62/0.81 % (23433)Time elapsed: 0.032 s
% 0.62/0.81 % (23433)Instructions burned: 83 (million)
% 0.62/0.81 % (23433)------------------------------
% 0.62/0.81 % (23433)------------------------------
% 0.62/0.81 % (23457)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.62/0.81 % (23449)Instruction limit reached!
% 0.62/0.81 % (23449)------------------------------
% 0.62/0.81 % (23449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (23449)Termination reason: Unknown
% 0.62/0.81 % (23449)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (23449)Memory used [KB]: 1442
% 0.62/0.81 % (23449)Time elapsed: 0.013 s
% 0.62/0.81 % (23449)Instructions burned: 35 (million)
% 0.62/0.81 % (23449)------------------------------
% 0.62/0.81 % (23449)------------------------------
% 0.62/0.81 % (23458)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.62/0.82 % (23459)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.62/0.82 % (23459)Refutation not found, incomplete strategy% (23459)------------------------------
% 0.62/0.82 % (23459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (23459)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (23459)Memory used [KB]: 987
% 0.62/0.82 % (23459)Time elapsed: 0.002 s
% 0.62/0.82 % (23459)Instructions burned: 4 (million)
% 0.62/0.82 % (23459)------------------------------
% 0.62/0.82 % (23459)------------------------------
% 0.62/0.82 % (23460)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.62/0.82 % (23452)Instruction limit reached!
% 0.62/0.82 % (23452)------------------------------
% 0.62/0.82 % (23452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (23452)Termination reason: Unknown
% 0.62/0.82 % (23452)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (23452)Memory used [KB]: 1186
% 0.62/0.82 % (23452)Time elapsed: 0.016 s
% 0.62/0.82 % (23452)Instructions burned: 54 (million)
% 0.62/0.82 % (23452)------------------------------
% 0.62/0.82 % (23452)------------------------------
% 0.62/0.82 % (23460)Refutation not found, incomplete strategy% (23460)------------------------------
% 0.62/0.82 % (23460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (23460)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (23460)Memory used [KB]: 1034
% 0.62/0.82 % (23460)Time elapsed: 0.002 s
% 0.62/0.82 % (23456)Instruction limit reached!
% 0.62/0.82 % (23456)------------------------------
% 0.62/0.82 % (23456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (23460)Instructions burned: 5 (million)
% 0.62/0.82 % (23456)Termination reason: Unknown
% 0.62/0.82 % (23456)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (23456)Memory used [KB]: 1172
% 0.62/0.82 % (23456)Time elapsed: 0.011 s
% 0.62/0.82 % (23456)Instructions burned: 36 (million)
% 0.62/0.82 % (23456)------------------------------
% 0.62/0.82 % (23456)------------------------------
% 0.62/0.82 % (23460)------------------------------
% 0.62/0.82 % (23460)------------------------------
% 0.62/0.82 % (23461)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.62/0.82 % (23462)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.62/0.82 % (23463)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.62/0.83 % (23461)Refutation not found, incomplete strategy% (23461)------------------------------
% 0.62/0.83 % (23461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (23461)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (23461)Memory used [KB]: 1167
% 0.62/0.83 % (23461)Time elapsed: 0.005 s
% 0.62/0.83 % (23461)Instructions burned: 11 (million)
% 0.62/0.83 % (23461)------------------------------
% 0.62/0.83 % (23461)------------------------------
% 0.62/0.83 % (23447)Instruction limit reached!
% 0.62/0.83 % (23447)------------------------------
% 0.62/0.83 % (23447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (23447)Termination reason: Unknown
% 0.62/0.83 % (23447)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (23447)Memory used [KB]: 2390
% 0.62/0.83 % (23447)Time elapsed: 0.031 s
% 0.62/0.83 % (23447)Instructions burned: 95 (million)
% 0.62/0.83 % (23447)------------------------------
% 0.62/0.83 % (23447)------------------------------
% 0.62/0.83 % (23464)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)
% 0.62/0.83 % (23467)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)
% 0.62/0.83 % (23457)Instruction limit reached!
% 0.62/0.83 % (23457)------------------------------
% 0.62/0.83 % (23457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (23457)Termination reason: Unknown
% 0.62/0.83 % (23457)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (23457)Memory used [KB]: 1387
% 0.62/0.83 % (23457)Time elapsed: 0.023 s
% 0.62/0.83 % (23457)Instructions burned: 89 (million)
% 0.62/0.83 % (23457)------------------------------
% 0.62/0.83 % (23457)------------------------------
% 0.62/0.84 % (23455)Instruction limit reached!
% 0.62/0.84 % (23455)------------------------------
% 0.62/0.84 % (23455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84 % (23455)Termination reason: Unknown
% 0.62/0.84 % (23455)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (23455)Memory used [KB]: 2549
% 0.62/0.84 % (23455)Time elapsed: 0.028 s
% 0.62/0.84 % (23455)Instructions burned: 104 (million)
% 0.62/0.84 % (23455)------------------------------
% 0.62/0.84 % (23455)------------------------------
% 0.62/0.84 % (23469)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)
% 0.62/0.84 % (23471)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)
% 0.62/0.84 % (23467)Instruction limit reached!
% 0.62/0.84 % (23467)------------------------------
% 0.62/0.84 % (23467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84 % (23467)Termination reason: Unknown
% 0.62/0.84 % (23467)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (23467)Memory used [KB]: 1513
% 0.62/0.84 % (23467)Time elapsed: 0.013 s
% 0.62/0.84 % (23467)Instructions burned: 38 (million)
% 0.62/0.84 % (23467)------------------------------
% 0.62/0.84 % (23467)------------------------------
% 0.62/0.85 % (23475)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.62/0.85 % (23475)Refutation not found, incomplete strategy% (23475)------------------------------
% 0.62/0.85 % (23475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23475)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (23475)Memory used [KB]: 1009
% 0.62/0.85 % (23475)Time elapsed: 0.002 s
% 0.62/0.85 % (23475)Instructions burned: 4 (million)
% 0.62/0.85 % (23475)------------------------------
% 0.62/0.85 % (23475)------------------------------
% 0.62/0.85 % (23458)Instruction limit reached!
% 0.62/0.85 % (23458)------------------------------
% 0.62/0.85 % (23458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23458)Termination reason: Unknown
% 0.62/0.85 % (23458)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (23458)Memory used [KB]: 2381
% 0.62/0.85 % (23458)Time elapsed: 0.034 s
% 0.62/0.85 % (23458)Instructions burned: 109 (million)
% 0.62/0.85 % (23458)------------------------------
% 0.62/0.85 % (23458)------------------------------
% 0.62/0.85 % (23462)First to succeed.
% 0.62/0.85 % (23478)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.62/0.85 % (23464)Instruction limit reached!
% 0.62/0.85 % (23464)------------------------------
% 0.62/0.85 % (23464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23479)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.62/0.85 % (23464)Termination reason: Unknown
% 0.62/0.85 % (23464)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (23464)Memory used [KB]: 1343
% 0.62/0.85 % (23464)Time elapsed: 0.022 s
% 0.62/0.85 % (23464)Instructions burned: 82 (million)
% 0.62/0.85 % (23464)------------------------------
% 0.62/0.85 % (23464)------------------------------
% 0.62/0.85 % (23469)Instruction limit reached!
% 0.62/0.85 % (23469)------------------------------
% 0.62/0.85 % (23469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23469)Termination reason: Unknown
% 0.62/0.85 % (23469)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (23469)Memory used [KB]: 1521
% 0.62/0.85 % (23478)Refutation not found, incomplete strategy% (23478)------------------------------
% 0.62/0.85 % (23478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23478)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (23478)Memory used [KB]: 970
% 0.62/0.85 % (23478)Time elapsed: 0.002 s
% 0.62/0.85 % (23478)Instructions burned: 5 (million)
% 0.62/0.85 % (23469)Time elapsed: 0.015 s
% 0.62/0.85 % (23469)Instructions burned: 55 (million)
% 0.62/0.85 % (23469)------------------------------
% 0.62/0.85 % (23469)------------------------------
% 0.62/0.85 % (23478)------------------------------
% 0.62/0.85 % (23478)------------------------------
% 0.62/0.85 % (23479)Refutation not found, incomplete strategy% (23479)------------------------------
% 0.62/0.85 % (23479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23462)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23403"
% 0.62/0.85 % (23479)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (23479)Memory used [KB]: 997
% 0.62/0.85 % (23479)Time elapsed: 0.002 s
% 0.62/0.85 % (23479)Instructions burned: 5 (million)
% 0.62/0.85 % (23479)------------------------------
% 0.62/0.85 % (23479)------------------------------
% 0.62/0.85 % (23462)Refutation found. Thanks to Tanya!
% 0.62/0.85 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.85 % (23462)------------------------------
% 0.62/0.85 % (23462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (23462)Termination reason: Refutation
% 0.62/0.85
% 0.62/0.85 % (23462)Memory used [KB]: 1503
% 0.62/0.85 % (23462)Time elapsed: 0.028 s
% 0.62/0.85 % (23462)Instructions burned: 84 (million)
% 0.62/0.85 % (23403)Success in time 0.465 s
% 0.62/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------