TSTP Solution File: GRP318-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP318-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:20 EDT 2022
% Result : Unsatisfiable 1.60s 0.60s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 107
% Syntax : Number of formulae : 562 ( 47 unt; 0 def)
% Number of atoms : 1794 ( 685 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2312 (1080 ~;1200 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1757,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f158,f167,f177,f178,f183,f188,f197,f198,f199,f204,f209,f210,f211,f212,f213,f214,f215,f220,f225,f226,f227,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f245,f246,f247,f248,f249,f250,f251,f252,f254,f255,f256,f258,f259,f261,f277,f278,f279,f280,f281,f282,f283,f284,f314,f323,f357,f362,f406,f448,f509,f529,f571,f740,f744,f815,f901,f910,f915,f929,f933,f1082,f1092,f1127,f1173,f1190,f1220,f1240,f1270,f1288,f1345,f1410,f1509,f1526,f1540,f1591,f1594,f1717]) ).
fof(f1717,plain,
( ~ spl16_13
| ~ spl16_21
| ~ spl16_22
| ~ spl16_30
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f1716]) ).
fof(f1716,plain,
( $false
| ~ spl16_13
| ~ spl16_21
| ~ spl16_22
| ~ spl16_30
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f1659,f1628]) ).
fof(f1628,plain,
( identity = inverse(identity)
| ~ spl16_13
| ~ spl16_22 ),
inference(backward_demodulation,[],[f1599,f1625]) ).
fof(f1625,plain,
( identity = sk_c2
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f1624,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1624,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f424,f306]) ).
fof(f306,plain,
( identity = sk_c12
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl16_22
<=> identity = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f424,plain,
( sk_c2 = multiply(inverse(sk_c12),identity)
| ~ spl16_13 ),
inference(superposition,[],[f388,f297]) ).
fof(f297,plain,
( identity = multiply(sk_c12,sk_c2)
| ~ spl16_13 ),
inference(superposition,[],[f2,f290]) ).
fof(f290,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl16_13 ),
inference(backward_demodulation,[],[f97,f208]) ).
fof(f208,plain,
( sk_c12 = sF15
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl16_13
<=> sk_c12 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f97,plain,
inverse(sk_c2) = sF15,
introduced(function_definition,[]) ).
fof(f388,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f374,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f374,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1599,plain,
( identity = inverse(sk_c2)
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f290,f306]) ).
fof(f1659,plain,
( identity != inverse(identity)
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(trivial_inequality_removal,[],[f1655]) ).
fof(f1655,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(superposition,[],[f1607,f1]) ).
fof(f1607,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1606,f1554]) ).
fof(f1554,plain,
( identity = sk_c10
| ~ spl16_30
| ~ spl16_34 ),
inference(backward_demodulation,[],[f350,f369]) ).
fof(f369,plain,
( identity = sk_c11
| ~ spl16_34 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl16_34
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f350,plain,
( sk_c11 = sk_c10
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl16_30
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f1606,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c10 != multiply(X7,identity) )
| ~ spl16_21
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1605,f369]) ).
fof(f1605,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| identity != inverse(X7) )
| ~ spl16_21
| ~ spl16_34 ),
inference(forward_demodulation,[],[f276,f369]) ).
fof(f276,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) )
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl16_21
<=> ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f1594,plain,
( ~ spl16_1
| ~ spl16_3
| spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1593,plain,
( $false
| ~ spl16_1
| ~ spl16_3
| spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f1592,f1554]) ).
fof(f1592,plain,
( identity != sk_c10
| ~ spl16_1
| ~ spl16_3
| spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f161,f1513]) ).
fof(f1513,plain,
( identity = sF0
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1415,f1483]) ).
fof(f1483,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1482,f1462]) ).
fof(f1462,plain,
( ! [X14] : multiply(sk_c11,multiply(sk_c11,X14)) = X14
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(backward_demodulation,[],[f1401,f1459]) ).
fof(f1459,plain,
( sk_c11 = sk_c9
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1450,f1298]) ).
fof(f1298,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl16_3
| ~ spl16_6
| ~ spl16_30 ),
inference(backward_demodulation,[],[f1277,f350]) ).
fof(f1277,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl16_3
| ~ spl16_6 ),
inference(forward_demodulation,[],[f1276,f171]) ).
fof(f171,plain,
( sk_c11 = sF8
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl16_6
<=> sk_c11 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f1276,plain,
( sk_c11 = multiply(sF8,sk_c10)
| ~ spl16_3 ),
inference(forward_demodulation,[],[f440,f157]) ).
fof(f157,plain,
( sk_c10 = sF7
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl16_3
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f440,plain,
sk_c11 = multiply(sF8,sF7),
inference(forward_demodulation,[],[f426,f81]) ).
fof(f81,plain,
inverse(sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f426,plain,
sk_c11 = multiply(inverse(sk_c5),sF7),
inference(superposition,[],[f388,f79]) ).
fof(f79,plain,
multiply(sk_c5,sk_c11) = sF7,
introduced(function_definition,[]) ).
fof(f1450,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22 ),
inference(backward_demodulation,[],[f960,f1444]) ).
fof(f1444,plain,
( sk_c11 = sk_c6
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f1441,f1443]) ).
fof(f1443,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_22 ),
inference(forward_demodulation,[],[f1427,f1436]) ).
fof(f1436,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f953,f1434]) ).
fof(f1434,plain,
( sk_c9 = sk_c8
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f823,f1423]) ).
fof(f1423,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl16_1
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f941,f306]) ).
fof(f941,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl16_1
| ~ spl16_12 ),
inference(backward_demodulation,[],[f912,f203]) ).
fof(f203,plain,
( sk_c12 = sF3
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl16_12
<=> sk_c12 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f912,plain,
( sk_c9 = multiply(sk_c9,sF3)
| ~ spl16_1 ),
inference(forward_demodulation,[],[f438,f148]) ).
fof(f148,plain,
( sk_c9 = sF13
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl16_1
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f438,plain,
sk_c9 = multiply(sF13,sF3),
inference(forward_demodulation,[],[f427,f90]) ).
fof(f90,plain,
inverse(sk_c6) = sF13,
introduced(function_definition,[]) ).
fof(f427,plain,
sk_c9 = multiply(inverse(sk_c6),sF3),
inference(superposition,[],[f388,f72]) ).
fof(f72,plain,
multiply(sk_c6,sk_c9) = sF3,
introduced(function_definition,[]) ).
fof(f823,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl16_5
| ~ spl16_9 ),
inference(forward_demodulation,[],[f818,f765]) ).
fof(f765,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl16_9 ),
inference(backward_demodulation,[],[f77,f187]) ).
fof(f187,plain,
( sk_c9 = sF6
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl16_9
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f77,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f818,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl16_5 ),
inference(backward_demodulation,[],[f432,f166]) ).
fof(f166,plain,
( sk_c7 = sF1
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl16_5
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f432,plain,
sk_c8 = multiply(inverse(sF1),identity),
inference(superposition,[],[f388,f294]) ).
fof(f294,plain,
identity = multiply(sF1,sk_c8),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
inverse(sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f953,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9 ),
inference(backward_demodulation,[],[f821,f946]) ).
fof(f946,plain,
( sk_c6 = sk_c7
| ~ spl16_1
| ~ spl16_9 ),
inference(forward_demodulation,[],[f762,f849]) ).
fof(f849,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl16_1 ),
inference(backward_demodulation,[],[f436,f148]) ).
fof(f436,plain,
sk_c6 = multiply(inverse(sF13),identity),
inference(superposition,[],[f388,f293]) ).
fof(f293,plain,
identity = multiply(sF13,sk_c6),
inference(superposition,[],[f2,f90]) ).
fof(f762,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl16_9 ),
inference(backward_demodulation,[],[f433,f187]) ).
fof(f433,plain,
sk_c7 = multiply(inverse(sF6),identity),
inference(superposition,[],[f388,f295]) ).
fof(f295,plain,
identity = multiply(sF6,sk_c7),
inference(superposition,[],[f2,f77]) ).
fof(f821,plain,
( inverse(sk_c8) = sk_c7
| ~ spl16_5 ),
inference(backward_demodulation,[],[f69,f166]) ).
fof(f1427,plain,
( sk_c11 = multiply(inverse(sk_c9),identity)
| ~ spl16_11
| ~ spl16_22 ),
inference(backward_demodulation,[],[f1175,f306]) ).
fof(f1175,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl16_11 ),
inference(forward_demodulation,[],[f428,f196]) ).
fof(f196,plain,
( sk_c12 = sF14
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl16_11
<=> sk_c12 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f428,plain,
sk_c11 = multiply(inverse(sk_c9),sF14),
inference(superposition,[],[f388,f92]) ).
fof(f92,plain,
multiply(sk_c9,sk_c11) = sF14,
introduced(function_definition,[]) ).
fof(f1441,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f849,f1436]) ).
fof(f960,plain,
( sk_c9 = multiply(sk_c6,sk_c6)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_15 ),
inference(forward_demodulation,[],[f831,f946]) ).
fof(f831,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl16_5
| ~ spl16_15 ),
inference(backward_demodulation,[],[f817,f224]) ).
fof(f224,plain,
( sk_c7 = sF11
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl16_15
<=> sk_c7 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f817,plain,
( sk_c9 = multiply(sk_c7,sF11)
| ~ spl16_5 ),
inference(backward_demodulation,[],[f441,f166]) ).
fof(f441,plain,
sk_c9 = multiply(sF1,sF11),
inference(forward_demodulation,[],[f429,f69]) ).
fof(f429,plain,
sk_c9 = multiply(inverse(sk_c8),sF11),
inference(superposition,[],[f388,f87]) ).
fof(f87,plain,
multiply(sk_c8,sk_c9) = sF11,
introduced(function_definition,[]) ).
fof(f1401,plain,
( ! [X14] : multiply(sk_c9,multiply(sk_c11,X14)) = X14
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1146,f1399]) ).
fof(f1399,plain,
( ! [X13] : multiply(sk_c12,X13) = X13
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12 ),
inference(backward_demodulation,[],[f956,f1398]) ).
fof(f1398,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = X0
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9 ),
inference(backward_demodulation,[],[f1181,f1397]) ).
fof(f1397,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,X0)
| ~ spl16_5
| ~ spl16_9 ),
inference(forward_demodulation,[],[f1396,f1]) ).
fof(f1396,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl16_5
| ~ spl16_9 ),
inference(superposition,[],[f3,f823]) ).
fof(f1181,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9 ),
inference(backward_demodulation,[],[f819,f946]) ).
fof(f819,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl16_5 ),
inference(backward_demodulation,[],[f399,f166]) ).
fof(f399,plain,
! [X0] : multiply(sF1,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f398,f1]) ).
fof(f398,plain,
! [X0] : multiply(identity,X0) = multiply(sF1,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f294]) ).
fof(f956,plain,
( ! [X13] : multiply(sk_c12,X13) = multiply(sk_c6,multiply(sk_c9,X13))
| ~ spl16_12 ),
inference(forward_demodulation,[],[f380,f203]) ).
fof(f380,plain,
! [X13] : multiply(sk_c6,multiply(sk_c9,X13)) = multiply(sF3,X13),
inference(superposition,[],[f3,f72]) ).
fof(f1146,plain,
( ! [X14] : multiply(sk_c12,X14) = multiply(sk_c9,multiply(sk_c11,X14))
| ~ spl16_11 ),
inference(forward_demodulation,[],[f381,f196]) ).
fof(f381,plain,
! [X14] : multiply(sk_c9,multiply(sk_c11,X14)) = multiply(sF14,X14),
inference(superposition,[],[f3,f92]) ).
fof(f1482,plain,
( ! [X12] : multiply(sk_c11,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(backward_demodulation,[],[f1308,f1476]) ).
fof(f1476,plain,
( sk_c11 = sk_c5
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1475,f1463]) ).
fof(f1463,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(backward_demodulation,[],[f1423,f1459]) ).
fof(f1475,plain,
( sk_c5 = multiply(sk_c11,identity)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(backward_demodulation,[],[f1278,f1472]) ).
fof(f1472,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_5
| ~ spl16_6
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1454,f1459]) ).
fof(f1454,plain,
( sk_c11 = inverse(sk_c9)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_22 ),
inference(backward_demodulation,[],[f1436,f1444]) ).
fof(f1278,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl16_6 ),
inference(forward_demodulation,[],[f434,f171]) ).
fof(f434,plain,
sk_c5 = multiply(inverse(sF8),identity),
inference(superposition,[],[f388,f292]) ).
fof(f292,plain,
identity = multiply(sF8,sk_c5),
inference(superposition,[],[f2,f81]) ).
fof(f1308,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
| ~ spl16_3
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1166,f350]) ).
fof(f1166,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sk_c10,X12)
| ~ spl16_3 ),
inference(forward_demodulation,[],[f379,f157]) ).
fof(f379,plain,
! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sF7,X12),
inference(superposition,[],[f3,f79]) ).
fof(f1415,plain,
( sF0 = multiply(sk_c11,identity)
| ~ spl16_22 ),
inference(backward_demodulation,[],[f68,f306]) ).
fof(f68,plain,
multiply(sk_c11,sk_c12) = sF0,
introduced(function_definition,[]) ).
fof(f161,plain,
( sk_c10 != sF0
| spl16_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl16_4
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f1591,plain,
( ~ spl16_21
| ~ spl16_22
| ~ spl16_30
| ~ spl16_32
| ~ spl16_34
| ~ spl16_42 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1590,plain,
( $false
| ~ spl16_21
| ~ spl16_22
| ~ spl16_30
| ~ spl16_32
| ~ spl16_34
| ~ spl16_42 ),
inference(subsumption_resolution,[],[f1589,f1518]) ).
fof(f1518,plain,
( identity = inverse(identity)
| ~ spl16_22
| ~ spl16_32
| ~ spl16_42 ),
inference(backward_demodulation,[],[f1420,f609]) ).
fof(f609,plain,
( identity = sk_c4
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl16_42
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f1420,plain,
( identity = inverse(sk_c4)
| ~ spl16_22
| ~ spl16_32 ),
inference(backward_demodulation,[],[f360,f306]) ).
fof(f360,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl16_32
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f1589,plain,
( identity != inverse(identity)
| ~ spl16_21
| ~ spl16_22
| ~ spl16_30
| ~ spl16_32
| ~ spl16_34
| ~ spl16_42 ),
inference(forward_demodulation,[],[f1585,f1518]) ).
fof(f1585,plain,
( identity != inverse(inverse(identity))
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(trivial_inequality_removal,[],[f1584]) ).
fof(f1584,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(superposition,[],[f1569,f2]) ).
fof(f1569,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1568,f369]) ).
fof(f1568,plain,
( ! [X7] :
( sk_c11 != multiply(X7,sk_c11)
| identity != inverse(X7) )
| ~ spl16_21
| ~ spl16_30
| ~ spl16_34 ),
inference(backward_demodulation,[],[f1544,f369]) ).
fof(f1544,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c11 != multiply(X7,sk_c11) )
| ~ spl16_21
| ~ spl16_30 ),
inference(forward_demodulation,[],[f276,f350]) ).
fof(f1540,plain,
( spl16_34
| ~ spl16_6
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f1539,f574,f169,f368]) ).
fof(f574,plain,
( spl16_37
<=> identity = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
fof(f1539,plain,
( identity = sk_c11
| ~ spl16_6
| ~ spl16_37 ),
inference(backward_demodulation,[],[f171,f575]) ).
fof(f575,plain,
( identity = sF8
| ~ spl16_37 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f1526,plain,
( ~ spl16_34
| ~ spl16_22
| spl16_24
| ~ spl16_32
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f1524,f608,f359,f316,f305,f368]) ).
fof(f316,plain,
( spl16_24
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f1524,plain,
( identity != sk_c11
| ~ spl16_22
| spl16_24
| ~ spl16_32
| ~ spl16_42 ),
inference(backward_demodulation,[],[f318,f1518]) ).
fof(f318,plain,
( sk_c11 != inverse(identity)
| spl16_24 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f1509,plain,
( spl16_42
| ~ spl16_16
| ~ spl16_22 ),
inference(avatar_split_clause,[],[f1508,f305,f229,f608]) ).
fof(f229,plain,
( spl16_16
<=> sk_c12 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f1508,plain,
( identity = sk_c4
| ~ spl16_16
| ~ spl16_22 ),
inference(forward_demodulation,[],[f1421,f2]) ).
fof(f1421,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl16_16
| ~ spl16_22 ),
inference(backward_demodulation,[],[f907,f306]) ).
fof(f907,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl16_16 ),
inference(backward_demodulation,[],[f435,f231]) ).
fof(f231,plain,
( sk_c12 = sF10
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f435,plain,
sk_c4 = multiply(inverse(sF10),identity),
inference(superposition,[],[f388,f291]) ).
fof(f291,plain,
identity = multiply(sF10,sk_c4),
inference(superposition,[],[f2,f84]) ).
fof(f84,plain,
inverse(sk_c4) = sF10,
introduced(function_definition,[]) ).
fof(f1410,plain,
( spl16_25
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_14
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f1404,f229,f217,f201,f185,f164,f146,f320]) ).
fof(f320,plain,
( spl16_25
<=> sk_c11 = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f217,plain,
( spl16_14
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f1404,plain,
( sk_c11 = sk_c12
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_14
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1310,f1399]) ).
fof(f1310,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_14
| ~ spl16_16 ),
inference(forward_demodulation,[],[f1309,f231]) ).
fof(f1309,plain,
( sk_c12 = multiply(sF10,sk_c11)
| ~ spl16_14 ),
inference(forward_demodulation,[],[f447,f219]) ).
fof(f219,plain,
( sk_c11 = sF5
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f447,plain,
sk_c12 = multiply(sF10,sF5),
inference(forward_demodulation,[],[f425,f84]) ).
fof(f425,plain,
sk_c12 = multiply(inverse(sk_c4),sF5),
inference(superposition,[],[f388,f75]) ).
fof(f75,plain,
multiply(sk_c4,sk_c12) = sF5,
introduced(function_definition,[]) ).
fof(f1345,plain,
( ~ spl16_4
| spl16_22
| ~ spl16_30 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl16_4
| spl16_22
| ~ spl16_30 ),
inference(subsumption_resolution,[],[f1343,f307]) ).
fof(f307,plain,
( identity != sk_c12
| spl16_22 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f1343,plain,
( identity = sk_c12
| ~ spl16_4
| ~ spl16_30 ),
inference(forward_demodulation,[],[f1341,f2]) ).
fof(f1341,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl16_4
| ~ spl16_30 ),
inference(superposition,[],[f388,f1297]) ).
fof(f1297,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl16_4
| ~ spl16_30 ),
inference(backward_demodulation,[],[f285,f350]) ).
fof(f285,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl16_4 ),
inference(backward_demodulation,[],[f68,f162]) ).
fof(f162,plain,
( sk_c10 = sF0
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f1288,plain,
( ~ spl16_3
| ~ spl16_6
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25
| spl16_30 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1287,plain,
( $false
| ~ spl16_3
| ~ spl16_6
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25
| spl16_30 ),
inference(subsumption_resolution,[],[f1286,f351]) ).
fof(f351,plain,
( sk_c11 != sk_c10
| spl16_30 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1286,plain,
( sk_c11 = sk_c10
| ~ spl16_3
| ~ spl16_6
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25 ),
inference(forward_demodulation,[],[f1281,f1208]) ).
fof(f1208,plain,
( sk_c11 = multiply(sk_c4,sk_c11)
| ~ spl16_14
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1170,f321]) ).
fof(f321,plain,
( sk_c11 = sk_c12
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f1170,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl16_14 ),
inference(forward_demodulation,[],[f75,f219]) ).
fof(f1281,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl16_3
| ~ spl16_6
| ~ spl16_16
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1186,f1279]) ).
fof(f1279,plain,
( sk_c4 = sk_c5
| ~ spl16_6
| ~ spl16_16
| ~ spl16_25 ),
inference(forward_demodulation,[],[f1278,f1201]) ).
fof(f1201,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl16_16
| ~ spl16_25 ),
inference(backward_demodulation,[],[f907,f321]) ).
fof(f1186,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl16_3 ),
inference(forward_demodulation,[],[f79,f157]) ).
fof(f1270,plain,
( ~ spl16_22
| ~ spl16_25
| spl16_34 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1269,plain,
( $false
| ~ spl16_22
| ~ spl16_25
| spl16_34 ),
inference(subsumption_resolution,[],[f1268,f370]) ).
fof(f370,plain,
( identity != sk_c11
| spl16_34 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1268,plain,
( identity = sk_c11
| ~ spl16_22
| ~ spl16_25 ),
inference(backward_demodulation,[],[f321,f306]) ).
fof(f1240,plain,
( ~ spl16_1
| ~ spl16_11
| ~ spl16_12
| ~ spl16_25
| spl16_34 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1239,plain,
( $false
| ~ spl16_1
| ~ spl16_11
| ~ spl16_12
| ~ spl16_25
| spl16_34 ),
inference(subsumption_resolution,[],[f1238,f370]) ).
fof(f1238,plain,
( identity = sk_c11
| ~ spl16_1
| ~ spl16_11
| ~ spl16_12
| ~ spl16_25 ),
inference(forward_demodulation,[],[f1237,f2]) ).
fof(f1237,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl16_1
| ~ spl16_11
| ~ spl16_12
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1210,f1221]) ).
fof(f1221,plain,
( sk_c11 = sk_c9
| ~ spl16_1
| ~ spl16_11
| ~ spl16_12
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1203,f1209]) ).
fof(f1209,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl16_11
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1171,f321]) ).
fof(f1171,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl16_11 ),
inference(forward_demodulation,[],[f92,f196]) ).
fof(f1203,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl16_1
| ~ spl16_12
| ~ spl16_25 ),
inference(backward_demodulation,[],[f941,f321]) ).
fof(f1210,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c11)
| ~ spl16_11
| ~ spl16_25 ),
inference(backward_demodulation,[],[f1175,f321]) ).
fof(f1220,plain,
( spl16_2
| ~ spl16_10
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| spl16_2
| ~ spl16_10
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25 ),
inference(subsumption_resolution,[],[f1218,f1192]) ).
fof(f1192,plain,
( sk_c11 != sF12
| spl16_2
| ~ spl16_25 ),
inference(backward_demodulation,[],[f151,f321]) ).
fof(f151,plain,
( sk_c12 != sF12
| spl16_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl16_2
<=> sk_c12 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f1218,plain,
( sk_c11 = sF12
| ~ spl16_10
| ~ spl16_14
| ~ spl16_16
| ~ spl16_25 ),
inference(forward_demodulation,[],[f1214,f1208]) ).
fof(f1214,plain,
( multiply(sk_c4,sk_c11) = sF12
| ~ spl16_10
| ~ spl16_16
| ~ spl16_25 ),
inference(backward_demodulation,[],[f88,f1212]) ).
fof(f1212,plain,
( sk_c4 = sk_c1
| ~ spl16_10
| ~ spl16_16
| ~ spl16_25 ),
inference(backward_demodulation,[],[f422,f1201]) ).
fof(f422,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl16_10 ),
inference(superposition,[],[f388,f296]) ).
fof(f296,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl16_10 ),
inference(superposition,[],[f2,f287]) ).
fof(f287,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl16_10 ),
inference(backward_demodulation,[],[f71,f192]) ).
fof(f192,plain,
( sk_c11 = sF2
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl16_10
<=> sk_c11 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f71,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f88,plain,
multiply(sk_c1,sk_c11) = sF12,
introduced(function_definition,[]) ).
fof(f1190,plain,
( ~ spl16_3
| spl16_30
| ~ spl16_50 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1189,plain,
( $false
| ~ spl16_3
| spl16_30
| ~ spl16_50 ),
inference(subsumption_resolution,[],[f1188,f351]) ).
fof(f1188,plain,
( sk_c11 = sk_c10
| ~ spl16_3
| ~ spl16_50 ),
inference(forward_demodulation,[],[f1187,f1]) ).
fof(f1187,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl16_3
| ~ spl16_50 ),
inference(forward_demodulation,[],[f1186,f644]) ).
fof(f644,plain,
( identity = sk_c5
| ~ spl16_50 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl16_50
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f1173,plain,
( ~ spl16_22
| spl16_31
| ~ spl16_50
| ~ spl16_60 ),
inference(avatar_split_clause,[],[f1172,f734,f643,f354,f305]) ).
fof(f354,plain,
( spl16_31
<=> sk_c12 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f734,plain,
( spl16_60
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_60])]) ).
fof(f1172,plain,
( identity != sk_c12
| spl16_31
| ~ spl16_50
| ~ spl16_60 ),
inference(forward_demodulation,[],[f356,f1056]) ).
fof(f1056,plain,
( identity = inverse(identity)
| ~ spl16_50
| ~ spl16_60 ),
inference(forward_demodulation,[],[f735,f644]) ).
fof(f735,plain,
( identity = inverse(sk_c5)
| ~ spl16_60 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f356,plain,
( sk_c12 != inverse(identity)
| spl16_31 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f1127,plain,
( ~ spl16_42
| spl16_7
| ~ spl16_8
| ~ spl16_13
| ~ spl16_14
| ~ spl16_16
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f1126,f368,f229,f217,f206,f180,f173,f608]) ).
fof(f173,plain,
( spl16_7
<=> sk_c3 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f180,plain,
( spl16_8
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f1126,plain,
( identity != sk_c4
| spl16_7
| ~ spl16_8
| ~ spl16_13
| ~ spl16_14
| ~ spl16_16
| ~ spl16_34 ),
inference(forward_demodulation,[],[f958,f1101]) ).
fof(f1101,plain,
( identity = sF9
| ~ spl16_13
| ~ spl16_14
| ~ spl16_16
| ~ spl16_34 ),
inference(backward_demodulation,[],[f1058,f945]) ).
fof(f945,plain,
( identity = multiply(sk_c4,sk_c12)
| ~ spl16_14
| ~ spl16_34 ),
inference(forward_demodulation,[],[f75,f784]) ).
fof(f784,plain,
( identity = sF5
| ~ spl16_14
| ~ spl16_34 ),
inference(forward_demodulation,[],[f219,f369]) ).
fof(f1058,plain,
( multiply(sk_c4,sk_c12) = sF9
| ~ spl16_13
| ~ spl16_16 ),
inference(backward_demodulation,[],[f83,f918]) ).
fof(f918,plain,
( sk_c4 = sk_c2
| ~ spl16_13
| ~ spl16_16 ),
inference(forward_demodulation,[],[f424,f907]) ).
fof(f83,plain,
multiply(sk_c2,sk_c12) = sF9,
introduced(function_definition,[]) ).
fof(f958,plain,
( sk_c4 != sF9
| spl16_7
| ~ spl16_8
| ~ spl16_16
| ~ spl16_34 ),
inference(forward_demodulation,[],[f174,f911]) ).
fof(f911,plain,
( sk_c4 = sk_c3
| ~ spl16_8
| ~ spl16_16
| ~ spl16_34 ),
inference(backward_demodulation,[],[f839,f907]) ).
fof(f839,plain,
( sk_c3 = multiply(inverse(sk_c12),identity)
| ~ spl16_8
| ~ spl16_34 ),
inference(forward_demodulation,[],[f423,f369]) ).
fof(f423,plain,
( sk_c3 = multiply(inverse(sk_c12),sk_c11)
| ~ spl16_8 ),
inference(superposition,[],[f388,f286]) ).
fof(f286,plain,
( sk_c11 = multiply(sk_c12,sk_c3)
| ~ spl16_8 ),
inference(backward_demodulation,[],[f74,f182]) ).
fof(f182,plain,
( sk_c11 = sF4
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f74,plain,
multiply(sk_c12,sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f174,plain,
( sk_c3 != sF9
| spl16_7 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f1092,plain,
( spl16_42
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f1091,f368,f229,f222,f201,f194,f185,f164,f146,f608]) ).
fof(f1091,plain,
( identity = sk_c4
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1090,f957]) ).
fof(f957,plain,
( ! [X13] : multiply(sk_c12,X13) = X13
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_12
| ~ spl16_34 ),
inference(forward_demodulation,[],[f956,f954]) ).
fof(f954,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = X0
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_34 ),
inference(backward_demodulation,[],[f828,f946]) ).
fof(f828,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl16_5
| ~ spl16_9
| ~ spl16_34 ),
inference(backward_demodulation,[],[f819,f825]) ).
fof(f825,plain,
( ! [X14] : multiply(sk_c8,X14) = multiply(sk_c9,X14)
| ~ spl16_5
| ~ spl16_9
| ~ spl16_34 ),
inference(backward_demodulation,[],[f800,f824]) ).
fof(f824,plain,
( sk_c8 = sF14
| ~ spl16_5
| ~ spl16_9
| ~ spl16_34 ),
inference(backward_demodulation,[],[f511,f823]) ).
fof(f511,plain,
( multiply(sk_c9,identity) = sF14
| ~ spl16_34 ),
inference(backward_demodulation,[],[f92,f369]) ).
fof(f800,plain,
( ! [X14] : multiply(sk_c9,X14) = multiply(sF14,X14)
| ~ spl16_34 ),
inference(forward_demodulation,[],[f799,f1]) ).
fof(f799,plain,
( ! [X14] : multiply(sk_c9,multiply(identity,X14)) = multiply(sF14,X14)
| ~ spl16_34 ),
inference(forward_demodulation,[],[f381,f369]) ).
fof(f1090,plain,
( sk_c4 = multiply(sk_c12,identity)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_34 ),
inference(backward_demodulation,[],[f907,f1088]) ).
fof(f1088,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_34 ),
inference(backward_demodulation,[],[f1068,f1084]) ).
fof(f1084,plain,
( sk_c12 = sk_c6
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1083,f957]) ).
fof(f1083,plain,
( sk_c6 = multiply(sk_c12,sk_c12)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_34 ),
inference(forward_demodulation,[],[f965,f1065]) ).
fof(f1065,plain,
( sk_c12 = sk_c9
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_34 ),
inference(backward_demodulation,[],[f941,f1063]) ).
fof(f1063,plain,
( ! [X14] : multiply(sk_c9,X14) = X14
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_34 ),
inference(backward_demodulation,[],[f967,f957]) ).
fof(f967,plain,
( ! [X14] : multiply(sk_c9,X14) = multiply(sk_c12,X14)
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_34 ),
inference(backward_demodulation,[],[f825,f961]) ).
fof(f961,plain,
( sk_c12 = sk_c8
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_34 ),
inference(forward_demodulation,[],[f824,f196]) ).
fof(f965,plain,
( sk_c6 = multiply(sk_c12,sk_c9)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_15
| ~ spl16_34 ),
inference(backward_demodulation,[],[f955,f961]) ).
fof(f955,plain,
( sk_c6 = multiply(sk_c8,sk_c9)
| ~ spl16_1
| ~ spl16_9
| ~ spl16_15 ),
inference(backward_demodulation,[],[f833,f946]) ).
fof(f833,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl16_15 ),
inference(backward_demodulation,[],[f87,f224]) ).
fof(f1068,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_34 ),
inference(backward_demodulation,[],[f852,f1065]) ).
fof(f852,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl16_1 ),
inference(backward_demodulation,[],[f90,f148]) ).
fof(f1082,plain,
( ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| spl16_22
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| spl16_22
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f1080,f307]) ).
fof(f1080,plain,
( identity = sk_c12
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_34 ),
inference(forward_demodulation,[],[f1079,f957]) ).
fof(f1079,plain,
( sk_c12 = multiply(sk_c12,identity)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_12
| ~ spl16_34 ),
inference(forward_demodulation,[],[f966,f1065]) ).
fof(f966,plain,
( sk_c12 = multiply(sk_c9,identity)
| ~ spl16_5
| ~ spl16_9
| ~ spl16_11
| ~ spl16_34 ),
inference(backward_demodulation,[],[f823,f961]) ).
fof(f933,plain,
( spl16_60
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f927,f574,f734]) ).
fof(f927,plain,
( identity = inverse(sk_c5)
| ~ spl16_37 ),
inference(backward_demodulation,[],[f81,f575]) ).
fof(f929,plain,
( spl16_50
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f928,f574,f643]) ).
fof(f928,plain,
( identity = sk_c5
| ~ spl16_37 ),
inference(forward_demodulation,[],[f925,f2]) ).
fof(f925,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl16_37 ),
inference(backward_demodulation,[],[f434,f575]) ).
fof(f915,plain,
( ~ spl16_22
| ~ spl16_10
| spl16_31
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f773,f368,f354,f190,f305]) ).
fof(f773,plain,
( identity != sk_c12
| ~ spl16_10
| spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f356,f760]) ).
fof(f760,plain,
( identity = inverse(identity)
| ~ spl16_10
| ~ spl16_34 ),
inference(forward_demodulation,[],[f759,f369]) ).
fof(f759,plain,
( sk_c11 = inverse(identity)
| ~ spl16_10
| ~ spl16_34 ),
inference(forward_demodulation,[],[f287,f757]) ).
fof(f757,plain,
( identity = sk_c1
| ~ spl16_10
| ~ spl16_34 ),
inference(forward_demodulation,[],[f756,f2]) ).
fof(f756,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl16_10
| ~ spl16_34 ),
inference(forward_demodulation,[],[f422,f369]) ).
fof(f910,plain,
( spl16_32
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f909,f229,f359]) ).
fof(f909,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl16_16 ),
inference(backward_demodulation,[],[f84,f231]) ).
fof(f901,plain,
( spl16_7
| ~ spl16_8
| ~ spl16_13
| ~ spl16_22
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| spl16_7
| ~ spl16_8
| ~ spl16_13
| ~ spl16_22
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f899,f843]) ).
fof(f843,plain,
( identity != sF9
| spl16_7
| ~ spl16_8
| ~ spl16_22
| ~ spl16_34 ),
inference(backward_demodulation,[],[f174,f841]) ).
fof(f841,plain,
( identity = sk_c3
| ~ spl16_8
| ~ spl16_22
| ~ spl16_34 ),
inference(forward_demodulation,[],[f840,f2]) ).
fof(f840,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl16_8
| ~ spl16_22
| ~ spl16_34 ),
inference(forward_demodulation,[],[f839,f306]) ).
fof(f899,plain,
( identity = sF9
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f898,f1]) ).
fof(f898,plain,
( sF9 = multiply(identity,identity)
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f897,f892]) ).
fof(f892,plain,
( identity = sk_c2
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f891,f2]) ).
fof(f891,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl16_13
| ~ spl16_22 ),
inference(forward_demodulation,[],[f424,f306]) ).
fof(f897,plain,
( multiply(sk_c2,identity) = sF9
| ~ spl16_22 ),
inference(forward_demodulation,[],[f83,f306]) ).
fof(f815,plain,
( spl16_50
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f814,f368,f349,f155,f643]) ).
fof(f814,plain,
( identity = sk_c5
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(backward_demodulation,[],[f694,f812]) ).
fof(f812,plain,
( ! [X12] : multiply(sk_c5,X12) = X12
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f811,f1]) ).
fof(f811,plain,
( ! [X12] : multiply(sk_c5,multiply(identity,X12)) = multiply(identity,X12)
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f810,f369]) ).
fof(f810,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c5,multiply(sk_c11,X12))
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f379,f791]) ).
fof(f791,plain,
( identity = sF7
| ~ spl16_3
| ~ spl16_30
| ~ spl16_34 ),
inference(forward_demodulation,[],[f157,f516]) ).
fof(f516,plain,
( identity = sk_c10
| ~ spl16_30
| ~ spl16_34 ),
inference(backward_demodulation,[],[f350,f369]) ).
fof(f694,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl16_34 ),
inference(backward_demodulation,[],[f510,f693]) ).
fof(f693,plain,
( sk_c5 = sF7
| ~ spl16_34 ),
inference(forward_demodulation,[],[f689,f434]) ).
fof(f689,plain,
( multiply(inverse(sF8),identity) = sF7
| ~ spl16_34 ),
inference(superposition,[],[f388,f519]) ).
fof(f519,plain,
( identity = multiply(sF8,sF7)
| ~ spl16_34 ),
inference(backward_demodulation,[],[f440,f369]) ).
fof(f510,plain,
( multiply(sk_c5,identity) = sF7
| ~ spl16_34 ),
inference(backward_demodulation,[],[f79,f369]) ).
fof(f744,plain,
( spl16_37
| ~ spl16_6
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f743,f368,f169,f574]) ).
fof(f743,plain,
( identity = sF8
| ~ spl16_6
| ~ spl16_34 ),
inference(forward_demodulation,[],[f171,f369]) ).
fof(f740,plain,
( ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f738,f536]) ).
fof(f536,plain,
( identity = inverse(identity)
| ~ spl16_22
| ~ spl16_31 ),
inference(backward_demodulation,[],[f355,f306]) ).
fof(f355,plain,
( sk_c12 = inverse(identity)
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f738,plain,
( identity != inverse(identity)
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f723,f536]) ).
fof(f723,plain,
( identity != inverse(inverse(identity))
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(trivial_inequality_removal,[],[f717]) ).
fof(f717,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(superposition,[],[f674,f2]) ).
fof(f674,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f673,f536]) ).
fof(f673,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f672,f536]) ).
fof(f672,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f671,f536]) ).
fof(f671,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(identity) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f670,f536]) ).
fof(f670,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity)))
| identity != inverse(identity) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f669,f536]) ).
fof(f669,plain,
( ! [X0] :
( inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f668,f536]) ).
fof(f668,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity)) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f600,f419]) ).
fof(f419,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f388,f2]) ).
fof(f600,plain,
( ! [X0] :
( inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_34 ),
inference(superposition,[],[f594,f1]) ).
fof(f594,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| identity != multiply(X8,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity)
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_34 ),
inference(forward_demodulation,[],[f593,f306]) ).
fof(f593,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity) )
| ~ spl16_20
| ~ spl16_22
| ~ spl16_34 ),
inference(forward_demodulation,[],[f592,f306]) ).
fof(f592,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X10) != multiply(X10,inverse(inverse(X10))) )
| ~ spl16_20
| ~ spl16_34 ),
inference(forward_demodulation,[],[f273,f369]) ).
fof(f273,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl16_20
<=> ! [X8,X10] :
( sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X10) != multiply(X10,inverse(inverse(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f571,plain,
( ~ spl16_19
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl16_19
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f569,f536]) ).
fof(f569,plain,
( identity != inverse(identity)
| ~ spl16_19
| ~ spl16_22
| ~ spl16_31
| ~ spl16_34 ),
inference(forward_demodulation,[],[f568,f536]) ).
fof(f568,plain,
( identity != inverse(inverse(identity))
| ~ spl16_19
| ~ spl16_22
| ~ spl16_34 ),
inference(subsumption_resolution,[],[f554,f1]) ).
fof(f554,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl16_19
| ~ spl16_22
| ~ spl16_34 ),
inference(superposition,[],[f538,f2]) ).
fof(f538,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl16_19
| ~ spl16_22
| ~ spl16_34 ),
inference(forward_demodulation,[],[f537,f306]) ).
fof(f537,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl16_19
| ~ spl16_22
| ~ spl16_34 ),
inference(backward_demodulation,[],[f533,f306]) ).
fof(f533,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| identity != multiply(sk_c12,multiply(X5,sk_c12)) )
| ~ spl16_19
| ~ spl16_34 ),
inference(forward_demodulation,[],[f270,f369]) ).
fof(f270,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12)) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl16_19
<=> ! [X5] :
( sk_c12 != inverse(X5)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f529,plain,
( spl16_22
| ~ spl16_25
| ~ spl16_34 ),
inference(avatar_split_clause,[],[f515,f368,f320,f305]) ).
fof(f515,plain,
( identity = sk_c12
| ~ spl16_25
| ~ spl16_34 ),
inference(backward_demodulation,[],[f321,f369]) ).
fof(f509,plain,
( spl16_34
| ~ spl16_2
| ~ spl16_7
| ~ spl16_8
| ~ spl16_10
| ~ spl16_13
| ~ spl16_25 ),
inference(avatar_split_clause,[],[f493,f320,f206,f190,f180,f173,f150,f368]) ).
fof(f493,plain,
( identity = sk_c11
| ~ spl16_2
| ~ spl16_7
| ~ spl16_8
| ~ spl16_10
| ~ spl16_13
| ~ spl16_25 ),
inference(backward_demodulation,[],[f484,f487]) ).
fof(f487,plain,
( ! [X16] : multiply(sk_c11,X16) = X16
| ~ spl16_2
| ~ spl16_7
| ~ spl16_8
| ~ spl16_10
| ~ spl16_13
| ~ spl16_25 ),
inference(forward_demodulation,[],[f461,f478]) ).
fof(f478,plain,
( ! [X17] : multiply(sk_c1,multiply(sk_c11,X17)) = X17
| ~ spl16_7
| ~ spl16_8
| ~ spl16_10
| ~ spl16_13
| ~ spl16_25 ),
inference(backward_demodulation,[],[f475,f476]) ).
fof(f476,plain,
( sk_c1 = sk_c2
| ~ spl16_10
| ~ spl16_13
| ~ spl16_25 ),
inference(forward_demodulation,[],[f468,f422]) ).
fof(f468,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl16_13
| ~ spl16_25 ),
inference(backward_demodulation,[],[f424,f321]) ).
fof(f475,plain,
( ! [X17] : multiply(sk_c2,multiply(sk_c11,X17)) = X17
| ~ spl16_7
| ~ spl16_8
| ~ spl16_25 ),
inference(forward_demodulation,[],[f474,f1]) ).
fof(f474,plain,
( ! [X17] : multiply(sk_c2,multiply(sk_c11,X17)) = multiply(identity,X17)
| ~ spl16_7
| ~ spl16_8
| ~ spl16_25 ),
inference(forward_demodulation,[],[f462,f470]) ).
fof(f470,plain,
( identity = sk_c3
| ~ spl16_8
| ~ spl16_25 ),
inference(forward_demodulation,[],[f467,f2]) ).
fof(f467,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c11)
| ~ spl16_8
| ~ spl16_25 ),
inference(backward_demodulation,[],[f423,f321]) ).
fof(f462,plain,
( ! [X17] : multiply(sk_c3,X17) = multiply(sk_c2,multiply(sk_c11,X17))
| ~ spl16_7
| ~ spl16_25 ),
inference(backward_demodulation,[],[f384,f321]) ).
fof(f384,plain,
( ! [X17] : multiply(sk_c3,X17) = multiply(sk_c2,multiply(sk_c12,X17))
| ~ spl16_7 ),
inference(superposition,[],[f3,f288]) ).
fof(f288,plain,
( sk_c3 = multiply(sk_c2,sk_c12)
| ~ spl16_7 ),
inference(backward_demodulation,[],[f83,f175]) ).
fof(f175,plain,
( sk_c3 = sF9
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f461,plain,
( ! [X16] : multiply(sk_c11,X16) = multiply(sk_c1,multiply(sk_c11,X16))
| ~ spl16_2
| ~ spl16_25 ),
inference(backward_demodulation,[],[f383,f321]) ).
fof(f383,plain,
( ! [X16] : multiply(sk_c12,X16) = multiply(sk_c1,multiply(sk_c11,X16))
| ~ spl16_2 ),
inference(superposition,[],[f3,f289]) ).
fof(f289,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl16_2 ),
inference(backward_demodulation,[],[f88,f152]) ).
fof(f152,plain,
( sk_c12 = sF12
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f484,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl16_8
| ~ spl16_25 ),
inference(forward_demodulation,[],[f453,f470]) ).
fof(f453,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl16_8
| ~ spl16_25 ),
inference(backward_demodulation,[],[f286,f321]) ).
fof(f448,plain,
( spl16_25
| ~ spl16_7
| ~ spl16_8
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f443,f206,f180,f173,f320]) ).
fof(f443,plain,
( sk_c11 = sk_c12
| ~ spl16_7
| ~ spl16_8
| ~ spl16_13 ),
inference(forward_demodulation,[],[f442,f286]) ).
fof(f442,plain,
( sk_c12 = multiply(sk_c12,sk_c3)
| ~ spl16_7
| ~ spl16_13 ),
inference(forward_demodulation,[],[f431,f290]) ).
fof(f431,plain,
( sk_c12 = multiply(inverse(sk_c2),sk_c3)
| ~ spl16_7 ),
inference(superposition,[],[f388,f288]) ).
fof(f406,plain,
( ~ spl16_2
| ~ spl16_4
| ~ spl16_10
| spl16_30 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl16_2
| ~ spl16_4
| ~ spl16_10
| spl16_30 ),
inference(subsumption_resolution,[],[f404,f351]) ).
fof(f404,plain,
( sk_c11 = sk_c10
| ~ spl16_2
| ~ spl16_4
| ~ spl16_10 ),
inference(backward_demodulation,[],[f285,f402]) ).
fof(f402,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl16_2
| ~ spl16_10 ),
inference(superposition,[],[f389,f289]) ).
fof(f389,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c1,X9)) = X9
| ~ spl16_10 ),
inference(forward_demodulation,[],[f376,f1]) ).
fof(f376,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c1,X9)) = multiply(identity,X9)
| ~ spl16_10 ),
inference(superposition,[],[f3,f296]) ).
fof(f362,plain,
( ~ spl16_32
| ~ spl16_14
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f341,f266,f217,f359]) ).
fof(f266,plain,
( spl16_18
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f341,plain,
( sk_c11 != sF5
| sk_c12 != inverse(sk_c4)
| ~ spl16_18 ),
inference(superposition,[],[f267,f75]) ).
fof(f267,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f357,plain,
( ~ spl16_31
| ~ spl16_25
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f338,f266,f320,f354]) ).
fof(f338,plain,
( sk_c11 != sk_c12
| sk_c12 != inverse(identity)
| ~ spl16_18 ),
inference(superposition,[],[f267,f1]) ).
fof(f323,plain,
( ~ spl16_24
| ~ spl16_25
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f298,f263,f320,f316]) ).
fof(f263,plain,
( spl16_17
<=> ! [X3] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f298,plain,
( sk_c11 != sk_c12
| sk_c11 != inverse(identity)
| ~ spl16_17 ),
inference(superposition,[],[f264,f1]) ).
fof(f264,plain,
( ! [X3] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f314,plain,
( ~ spl16_2
| ~ spl16_10
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl16_2
| ~ spl16_10
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f303,f287]) ).
fof(f303,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl16_2
| ~ spl16_17 ),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f302,plain,
( sk_c12 != sk_c12
| sk_c11 != inverse(sk_c1)
| ~ spl16_2
| ~ spl16_17 ),
inference(superposition,[],[f264,f289]) ).
fof(f284,plain,
( spl16_15
| spl16_7 ),
inference(avatar_split_clause,[],[f109,f173,f222]) ).
fof(f109,plain,
( sk_c3 = sF9
| sk_c7 = sF11 ),
inference(definition_folding,[],[f53,f83,f87]) ).
fof(f53,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f283,plain,
( spl16_3
| spl16_10 ),
inference(avatar_split_clause,[],[f80,f190,f155]) ).
fof(f80,plain,
( sk_c11 = sF2
| sk_c10 = sF7 ),
inference(definition_folding,[],[f26,f71,f79]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f282,plain,
( spl16_13
| spl16_14 ),
inference(avatar_split_clause,[],[f137,f217,f206]) ).
fof(f137,plain,
( sk_c11 = sF5
| sk_c12 = sF15 ),
inference(definition_folding,[],[f54,f97,f75]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f281,plain,
( spl16_7
| spl16_12 ),
inference(avatar_split_clause,[],[f139,f201,f173]) ).
fof(f139,plain,
( sk_c12 = sF3
| sk_c3 = sF9 ),
inference(definition_folding,[],[f48,f72,f83]) ).
fof(f48,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f280,plain,
( spl16_2
| spl16_16 ),
inference(avatar_split_clause,[],[f136,f229,f150]) ).
fof(f136,plain,
( sk_c12 = sF10
| sk_c12 = sF12 ),
inference(definition_folding,[],[f15,f88,f84]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f279,plain,
( spl16_2
| spl16_15 ),
inference(avatar_split_clause,[],[f89,f222,f150]) ).
fof(f89,plain,
( sk_c7 = sF11
| sk_c12 = sF12 ),
inference(definition_folding,[],[f23,f88,f87]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f278,plain,
( spl16_16
| spl16_10 ),
inference(avatar_split_clause,[],[f101,f190,f229]) ).
fof(f101,plain,
( sk_c11 = sF2
| sk_c12 = sF10 ),
inference(definition_folding,[],[f25,f71,f84]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f277,plain,
( spl16_17
| spl16_18
| spl16_19
| spl16_20
| spl16_21
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f103,f160,f275,f272,f269,f266,f263]) ).
fof(f103,plain,
! [X3,X10,X8,X6,X7,X5] :
( sk_c10 != sF0
| sk_c11 != inverse(X7)
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X3,sk_c11)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != inverse(X6)
| inverse(X8) != inverse(inverse(X10)) ),
inference(definition_folding,[],[f67,f68]) ).
fof(f67,plain,
! [X3,X10,X8,X6,X7,X5] :
( sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X3)
| sk_c12 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != inverse(X6) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X11,X8,X6,X7,X5] :
( sk_c12 != multiply(inverse(X11),sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X3)
| sk_c12 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| inverse(X8) != inverse(X11)
| inverse(X10) != X11
| multiply(X10,inverse(X11)) != X11
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(X8,inverse(X11))
| sk_c12 != inverse(X6) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(inverse(X11),sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != inverse(X7)
| multiply(X5,sk_c12) != X4
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X3)
| sk_c12 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,X4)
| inverse(X8) != inverse(X11)
| inverse(X10) != X11
| multiply(X10,inverse(X11)) != X11
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(X8,inverse(X11))
| sk_c12 != inverse(X6) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( inverse(X11) != X9
| sk_c12 != multiply(X9,sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != inverse(X7)
| multiply(X5,sk_c12) != X4
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X3)
| sk_c12 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,X4)
| inverse(X8) != X9
| inverse(X10) != X11
| multiply(X10,X9) != X11
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(X8,X9)
| sk_c12 != inverse(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f261,plain,
( spl16_11
| spl16_2 ),
inference(avatar_split_clause,[],[f93,f150,f194]) ).
fof(f93,plain,
( sk_c12 = sF12
| sk_c12 = sF14 ),
inference(definition_folding,[],[f20,f92,f88]) ).
fof(f20,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f259,plain,
( spl16_6
| spl16_8 ),
inference(avatar_split_clause,[],[f106,f180,f169]) ).
fof(f106,plain,
( sk_c11 = sF4
| sk_c11 = sF8 ),
inference(definition_folding,[],[f37,f81,f74]) ).
fof(f37,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f258,plain,
( spl16_4
| spl16_11 ),
inference(avatar_split_clause,[],[f108,f194,f160]) ).
fof(f108,plain,
( sk_c12 = sF14
| sk_c10 = sF0 ),
inference(definition_folding,[],[f10,f92,f68]) ).
fof(f10,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f256,plain,
( spl16_8
| spl16_12 ),
inference(avatar_split_clause,[],[f135,f201,f180]) ).
fof(f135,plain,
( sk_c12 = sF3
| sk_c11 = sF4 ),
inference(definition_folding,[],[f38,f74,f72]) ).
fof(f38,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f255,plain,
( spl16_9
| spl16_2 ),
inference(avatar_split_clause,[],[f96,f150,f185]) ).
fof(f96,plain,
( sk_c12 = sF12
| sk_c9 = sF6 ),
inference(definition_folding,[],[f22,f88,f77]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f254,plain,
( spl16_9
| spl16_13 ),
inference(avatar_split_clause,[],[f133,f206,f185]) ).
fof(f133,plain,
( sk_c12 = sF15
| sk_c9 = sF6 ),
inference(definition_folding,[],[f62,f77,f97]) ).
fof(f62,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f252,plain,
( spl16_10
| spl16_1 ),
inference(avatar_split_clause,[],[f91,f146,f190]) ).
fof(f91,plain,
( sk_c9 = sF13
| sk_c11 = sF2 ),
inference(definition_folding,[],[f29,f71,f90]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f251,plain,
( spl16_14
| spl16_7 ),
inference(avatar_split_clause,[],[f127,f173,f217]) ).
fof(f127,plain,
( sk_c3 = sF9
| sk_c11 = sF5 ),
inference(definition_folding,[],[f44,f83,f75]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f250,plain,
( spl16_2
| spl16_5 ),
inference(avatar_split_clause,[],[f142,f164,f150]) ).
fof(f142,plain,
( sk_c7 = sF1
| sk_c12 = sF12 ),
inference(definition_folding,[],[f21,f69,f88]) ).
fof(f21,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f249,plain,
( spl16_10
| spl16_6 ),
inference(avatar_split_clause,[],[f82,f169,f190]) ).
fof(f82,plain,
( sk_c11 = sF8
| sk_c11 = sF2 ),
inference(definition_folding,[],[f27,f71,f81]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f248,plain,
( spl16_8
| spl16_5 ),
inference(avatar_split_clause,[],[f117,f164,f180]) ).
fof(f117,plain,
( sk_c7 = sF1
| sk_c11 = sF4 ),
inference(definition_folding,[],[f41,f69,f74]) ).
fof(f41,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f247,plain,
( spl16_13
| spl16_6 ),
inference(avatar_split_clause,[],[f138,f169,f206]) ).
fof(f138,plain,
( sk_c11 = sF8
| sk_c12 = sF15 ),
inference(definition_folding,[],[f57,f97,f81]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f246,plain,
( spl16_8
| spl16_9 ),
inference(avatar_split_clause,[],[f116,f185,f180]) ).
fof(f116,plain,
( sk_c9 = sF6
| sk_c11 = sF4 ),
inference(definition_folding,[],[f42,f74,f77]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f245,plain,
( spl16_13
| spl16_16 ),
inference(avatar_split_clause,[],[f132,f229,f206]) ).
fof(f132,plain,
( sk_c12 = sF10
| sk_c12 = sF15 ),
inference(definition_folding,[],[f55,f84,f97]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f243,plain,
( spl16_15
| spl16_10 ),
inference(avatar_split_clause,[],[f110,f190,f222]) ).
fof(f110,plain,
( sk_c11 = sF2
| sk_c7 = sF11 ),
inference(definition_folding,[],[f33,f87,f71]) ).
fof(f33,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f242,plain,
( spl16_9
| spl16_4 ),
inference(avatar_split_clause,[],[f78,f160,f185]) ).
fof(f78,plain,
( sk_c10 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f12,f77,f68]) ).
fof(f12,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f241,plain,
( spl16_7
| spl16_16 ),
inference(avatar_split_clause,[],[f85,f229,f173]) ).
fof(f85,plain,
( sk_c12 = sF10
| sk_c3 = sF9 ),
inference(definition_folding,[],[f45,f84,f83]) ).
fof(f45,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f240,plain,
( spl16_10
| spl16_12 ),
inference(avatar_split_clause,[],[f73,f201,f190]) ).
fof(f73,plain,
( sk_c12 = sF3
| sk_c11 = sF2 ),
inference(definition_folding,[],[f28,f72,f71]) ).
fof(f28,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f239,plain,
( spl16_8
| spl16_11 ),
inference(avatar_split_clause,[],[f105,f194,f180]) ).
fof(f105,plain,
( sk_c12 = sF14
| sk_c11 = sF4 ),
inference(definition_folding,[],[f40,f74,f92]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f238,plain,
( spl16_8
| spl16_14 ),
inference(avatar_split_clause,[],[f76,f217,f180]) ).
fof(f76,plain,
( sk_c11 = sF5
| sk_c11 = sF4 ),
inference(definition_folding,[],[f34,f75,f74]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f237,plain,
( spl16_13
| spl16_11 ),
inference(avatar_split_clause,[],[f143,f194,f206]) ).
fof(f143,plain,
( sk_c12 = sF14
| sk_c12 = sF15 ),
inference(definition_folding,[],[f60,f92,f97]) ).
fof(f60,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f236,plain,
( spl16_4
| spl16_12 ),
inference(avatar_split_clause,[],[f104,f201,f160]) ).
fof(f104,plain,
( sk_c12 = sF3
| sk_c10 = sF0 ),
inference(definition_folding,[],[f8,f72,f68]) ).
fof(f8,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f235,plain,
( spl16_1
| spl16_8 ),
inference(avatar_split_clause,[],[f115,f180,f146]) ).
fof(f115,plain,
( sk_c11 = sF4
| sk_c9 = sF13 ),
inference(definition_folding,[],[f39,f90,f74]) ).
fof(f39,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f234,plain,
( spl16_15
| spl16_4 ),
inference(avatar_split_clause,[],[f129,f160,f222]) ).
fof(f129,plain,
( sk_c10 = sF0
| sk_c7 = sF11 ),
inference(definition_folding,[],[f13,f68,f87]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f233,plain,
( spl16_3
| spl16_13 ),
inference(avatar_split_clause,[],[f99,f206,f155]) ).
fof(f99,plain,
( sk_c12 = sF15
| sk_c10 = sF7 ),
inference(definition_folding,[],[f56,f79,f97]) ).
fof(f56,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f232,plain,
( spl16_8
| spl16_16 ),
inference(avatar_split_clause,[],[f126,f229,f180]) ).
fof(f126,plain,
( sk_c12 = sF10
| sk_c11 = sF4 ),
inference(definition_folding,[],[f35,f74,f84]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f227,plain,
( spl16_4
| spl16_1 ),
inference(avatar_split_clause,[],[f134,f146,f160]) ).
fof(f134,plain,
( sk_c9 = sF13
| sk_c10 = sF0 ),
inference(definition_folding,[],[f9,f90,f68]) ).
fof(f9,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f226,plain,
( spl16_15
| spl16_8 ),
inference(avatar_split_clause,[],[f144,f180,f222]) ).
fof(f144,plain,
( sk_c11 = sF4
| sk_c7 = sF11 ),
inference(definition_folding,[],[f43,f74,f87]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f225,plain,
( spl16_13
| spl16_15 ),
inference(avatar_split_clause,[],[f119,f222,f206]) ).
fof(f119,plain,
( sk_c7 = sF11
| sk_c12 = sF15 ),
inference(definition_folding,[],[f63,f97,f87]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f220,plain,
( spl16_2
| spl16_14 ),
inference(avatar_split_clause,[],[f125,f217,f150]) ).
fof(f125,plain,
( sk_c11 = sF5
| sk_c12 = sF12 ),
inference(definition_folding,[],[f14,f75,f88]) ).
fof(f14,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f215,plain,
( spl16_2
| spl16_6 ),
inference(avatar_split_clause,[],[f100,f169,f150]) ).
fof(f100,plain,
( sk_c11 = sF8
| sk_c12 = sF12 ),
inference(definition_folding,[],[f17,f88,f81]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f214,plain,
( spl16_13
| spl16_12 ),
inference(avatar_split_clause,[],[f102,f201,f206]) ).
fof(f102,plain,
( sk_c12 = sF3
| sk_c12 = sF15 ),
inference(definition_folding,[],[f58,f97,f72]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f213,plain,
( spl16_5
| spl16_13 ),
inference(avatar_split_clause,[],[f124,f206,f164]) ).
fof(f124,plain,
( sk_c12 = sF15
| sk_c7 = sF1 ),
inference(definition_folding,[],[f61,f97,f69]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f212,plain,
( spl16_5
| spl16_10 ),
inference(avatar_split_clause,[],[f141,f190,f164]) ).
fof(f141,plain,
( sk_c11 = sF2
| sk_c7 = sF1 ),
inference(definition_folding,[],[f31,f69,f71]) ).
fof(f31,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f211,plain,
( spl16_1
| spl16_7 ),
inference(avatar_split_clause,[],[f120,f173,f146]) ).
fof(f120,plain,
( sk_c3 = sF9
| sk_c9 = sF13 ),
inference(definition_folding,[],[f49,f90,f83]) ).
fof(f49,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f210,plain,
( spl16_9
| spl16_10 ),
inference(avatar_split_clause,[],[f130,f190,f185]) ).
fof(f130,plain,
( sk_c11 = sF2
| sk_c9 = sF6 ),
inference(definition_folding,[],[f32,f77,f71]) ).
fof(f32,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f209,plain,
( spl16_13
| spl16_1 ),
inference(avatar_split_clause,[],[f98,f146,f206]) ).
fof(f98,plain,
( sk_c9 = sF13
| sk_c12 = sF15 ),
inference(definition_folding,[],[f59,f90,f97]) ).
fof(f59,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f204,plain,
( spl16_2
| spl16_12 ),
inference(avatar_split_clause,[],[f112,f201,f150]) ).
fof(f112,plain,
( sk_c12 = sF3
| sk_c12 = sF12 ),
inference(definition_folding,[],[f18,f88,f72]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f199,plain,
( spl16_7
| spl16_11 ),
inference(avatar_split_clause,[],[f114,f194,f173]) ).
fof(f114,plain,
( sk_c12 = sF14
| sk_c3 = sF9 ),
inference(definition_folding,[],[f50,f92,f83]) ).
fof(f50,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f198,plain,
( spl16_6
| spl16_4 ),
inference(avatar_split_clause,[],[f122,f160,f169]) ).
fof(f122,plain,
( sk_c10 = sF0
| sk_c11 = sF8 ),
inference(definition_folding,[],[f7,f81,f68]) ).
fof(f7,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f197,plain,
( spl16_10
| spl16_11 ),
inference(avatar_split_clause,[],[f128,f194,f190]) ).
fof(f128,plain,
( sk_c12 = sF14
| sk_c11 = sF2 ),
inference(definition_folding,[],[f30,f71,f92]) ).
fof(f30,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f188,plain,
( spl16_9
| spl16_7 ),
inference(avatar_split_clause,[],[f121,f173,f185]) ).
fof(f121,plain,
( sk_c3 = sF9
| sk_c9 = sF6 ),
inference(definition_folding,[],[f52,f77,f83]) ).
fof(f52,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f183,plain,
( spl16_3
| spl16_8 ),
inference(avatar_split_clause,[],[f107,f180,f155]) ).
fof(f107,plain,
( sk_c11 = sF4
| sk_c10 = sF7 ),
inference(definition_folding,[],[f36,f79,f74]) ).
fof(f36,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f178,plain,
( spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f113,f160,f155]) ).
fof(f113,plain,
( sk_c10 = sF0
| sk_c10 = sF7 ),
inference(definition_folding,[],[f6,f68,f79]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f177,plain,
( spl16_7
| spl16_5 ),
inference(avatar_split_clause,[],[f131,f164,f173]) ).
fof(f131,plain,
( sk_c7 = sF1
| sk_c3 = sF9 ),
inference(definition_folding,[],[f51,f83,f69]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f167,plain,
( spl16_4
| spl16_5 ),
inference(avatar_split_clause,[],[f70,f164,f160]) ).
fof(f70,plain,
( sk_c7 = sF1
| sk_c10 = sF0 ),
inference(definition_folding,[],[f11,f69,f68]) ).
fof(f11,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f158,plain,
( spl16_3
| spl16_2 ),
inference(avatar_split_clause,[],[f140,f150,f155]) ).
fof(f140,plain,
( sk_c12 = sF12
| sk_c10 = sF7 ),
inference(definition_folding,[],[f16,f79,f88]) ).
fof(f16,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f153,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f111,f150,f146]) ).
fof(f111,plain,
( sk_c12 = sF12
| sk_c9 = sF13 ),
inference(definition_folding,[],[f19,f90,f88]) ).
fof(f19,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP318-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (31860)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (31884)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (31865)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (31876)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (31866)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (31863)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51 % (31874)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (31884)Refutation not found, incomplete strategy% (31884)------------------------------
% 0.19/0.51 % (31884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31884)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (31884)Memory used [KB]: 5884
% 0.19/0.51 % (31884)Time elapsed: 0.086 s
% 0.19/0.51 % (31884)Instructions burned: 5 (million)
% 0.19/0.51 % (31884)------------------------------
% 0.19/0.51 % (31884)------------------------------
% 0.19/0.51 % (31864)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (31875)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51 % (31867)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (31876)Instruction limit reached!
% 0.19/0.52 % (31876)------------------------------
% 0.19/0.52 % (31876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31876)Termination reason: Unknown
% 0.19/0.52 % (31876)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (31876)Memory used [KB]: 1535
% 0.19/0.52 % (31876)Time elapsed: 0.007 s
% 0.19/0.52 % (31876)Instructions burned: 8 (million)
% 0.19/0.52 % (31876)------------------------------
% 0.19/0.52 % (31876)------------------------------
% 0.19/0.52 % (31882)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.52 % (31883)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (31867)Refutation not found, incomplete strategy% (31867)------------------------------
% 0.19/0.52 % (31867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31867)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (31867)Memory used [KB]: 6012
% 0.19/0.52 % (31861)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (31867)Time elapsed: 0.100 s
% 0.19/0.52 % (31867)Instructions burned: 6 (million)
% 0.19/0.52 % (31867)------------------------------
% 0.19/0.52 % (31867)------------------------------
% 0.19/0.52 % (31862)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (31885)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (31886)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.52 % (31862)Instruction limit reached!
% 0.19/0.52 % (31862)------------------------------
% 0.19/0.52 % (31862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31862)Termination reason: Unknown
% 0.19/0.52 % (31862)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31862)Memory used [KB]: 5884
% 0.19/0.52 % (31862)Time elapsed: 0.003 s
% 0.19/0.52 % (31862)Instructions burned: 5 (million)
% 0.19/0.52 % (31862)------------------------------
% 0.19/0.52 % (31862)------------------------------
% 0.19/0.52 % (31889)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53 % (31874)Instruction limit reached!
% 0.19/0.53 % (31874)------------------------------
% 0.19/0.53 % (31874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31874)Termination reason: Unknown
% 0.19/0.53 % (31874)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31874)Memory used [KB]: 5884
% 0.19/0.53 % (31881)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (31874)Time elapsed: 0.004 s
% 0.19/0.53 % (31874)Instructions burned: 4 (million)
% 0.19/0.53 % (31874)------------------------------
% 0.19/0.53 % (31874)------------------------------
% 0.19/0.53 % (31881)Instruction limit reached!
% 0.19/0.53 % (31881)------------------------------
% 0.19/0.53 % (31881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31881)Termination reason: Unknown
% 0.19/0.53 % (31881)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31881)Memory used [KB]: 1407
% 0.19/0.53 % (31881)Time elapsed: 0.004 s
% 0.19/0.53 % (31881)Instructions burned: 6 (million)
% 0.19/0.53 % (31881)------------------------------
% 0.19/0.53 % (31881)------------------------------
% 0.19/0.53 % (31871)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (31872)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53 % (31880)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (31871)Instruction limit reached!
% 0.19/0.53 % (31871)------------------------------
% 0.19/0.53 % (31871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31888)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.46/0.53 % (31869)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.53 % (31878)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.46/0.54 % (31878)Instruction limit reached!
% 1.46/0.54 % (31878)------------------------------
% 1.46/0.54 % (31878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (31873)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.46/0.54 % (31890)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.46/0.54 % (31873)Instruction limit reached!
% 1.46/0.54 % (31873)------------------------------
% 1.46/0.54 % (31873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (31878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (31878)Termination reason: Unknown
% 1.46/0.54 % (31878)Termination phase: Saturation
% 1.46/0.54
% 1.46/0.54 % (31878)Memory used [KB]: 6012
% 1.46/0.54 % (31878)Time elapsed: 0.153 s
% 1.46/0.54 % (31878)Instructions burned: 8 (million)
% 1.46/0.54 % (31878)------------------------------
% 1.46/0.54 % (31878)------------------------------
% 1.46/0.54 % (31873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (31873)Termination reason: Unknown
% 1.46/0.54 % (31873)Termination phase: Saturation
% 1.46/0.54
% 1.46/0.54 % (31873)Memory used [KB]: 5884
% 1.46/0.54 % (31873)Time elapsed: 0.152 s
% 1.46/0.54 % (31873)Instructions burned: 5 (million)
% 1.46/0.54 % (31873)------------------------------
% 1.46/0.54 % (31873)------------------------------
% 1.46/0.54 % (31877)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.54 % (31877)Instruction limit reached!
% 1.46/0.54 % (31877)------------------------------
% 1.46/0.54 % (31877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (31877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (31877)Termination reason: Unknown
% 1.46/0.54 % (31877)Termination phase: Equality proxy
% 1.46/0.54
% 1.46/0.54 % (31877)Memory used [KB]: 1279
% 1.46/0.54 % (31877)Time elapsed: 0.002 s
% 1.46/0.54 % (31877)Instructions burned: 2 (million)
% 1.46/0.54 % (31877)------------------------------
% 1.46/0.54 % (31877)------------------------------
% 1.46/0.54 % (31891)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.54 % (31868)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.55 % (31868)Instruction limit reached!
% 1.46/0.55 % (31868)------------------------------
% 1.46/0.55 % (31868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (31868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (31868)Termination reason: Unknown
% 1.46/0.55 % (31868)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (31868)Memory used [KB]: 5884
% 1.46/0.55 % (31868)Time elapsed: 0.003 s
% 1.46/0.55 % (31868)Instructions burned: 4 (million)
% 1.46/0.55 % (31868)------------------------------
% 1.46/0.55 % (31868)------------------------------
% 1.46/0.55 % (31879)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.46/0.55 % (31871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (31871)Termination reason: Unknown
% 1.46/0.55 % (31871)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (31871)Memory used [KB]: 5884
% 1.46/0.55 % (31871)Time elapsed: 0.138 s
% 1.46/0.55 % (31871)Instructions burned: 6 (million)
% 1.46/0.55 % (31871)------------------------------
% 1.46/0.55 % (31871)------------------------------
% 1.46/0.55 % (31875)Instruction limit reached!
% 1.46/0.55 % (31875)------------------------------
% 1.46/0.55 % (31875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (31865)Instruction limit reached!
% 1.46/0.55 % (31865)------------------------------
% 1.46/0.55 % (31865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (31865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (31865)Termination reason: Unknown
% 1.46/0.55 % (31865)Termination phase: Saturation
% 1.46/0.55
% 1.46/0.55 % (31865)Memory used [KB]: 6268
% 1.46/0.55 % (31865)Time elapsed: 0.156 s
% 1.46/0.55 % (31865)Instructions burned: 25 (million)
% 1.46/0.55 % (31865)------------------------------
% 1.46/0.55 % (31865)------------------------------
% 1.46/0.55 % (31890)Refutation not found, incomplete strategy% (31890)------------------------------
% 1.46/0.55 % (31890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (31890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (31890)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.55
% 1.46/0.55 % (31890)Memory used [KB]: 6012
% 1.46/0.55 % (31890)Time elapsed: 0.157 s
% 1.46/0.55 % (31890)Instructions burned: 6 (million)
% 1.46/0.55 % (31890)------------------------------
% 1.46/0.55 % (31890)------------------------------
% 1.60/0.56 % (31875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (31875)Termination reason: Unknown
% 1.60/0.56 % (31875)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (31875)Memory used [KB]: 1663
% 1.60/0.56 % (31875)Time elapsed: 0.136 s
% 1.60/0.56 % (31875)Instructions burned: 30 (million)
% 1.60/0.56 % (31875)------------------------------
% 1.60/0.56 % (31875)------------------------------
% 1.60/0.56 % (31880)Instruction limit reached!
% 1.60/0.56 % (31880)------------------------------
% 1.60/0.56 % (31880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (31880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (31880)Termination reason: Unknown
% 1.60/0.56 % (31880)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (31880)Memory used [KB]: 6012
% 1.60/0.56 % (31880)Time elapsed: 0.166 s
% 1.60/0.56 % (31880)Instructions burned: 7 (million)
% 1.60/0.56 % (31880)------------------------------
% 1.60/0.56 % (31880)------------------------------
% 1.60/0.56 % (31872)Instruction limit reached!
% 1.60/0.56 % (31872)------------------------------
% 1.60/0.56 % (31872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (31872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (31872)Termination reason: Unknown
% 1.60/0.56 % (31872)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (31872)Memory used [KB]: 6396
% 1.60/0.56 % (31872)Time elapsed: 0.170 s
% 1.60/0.56 % (31872)Instructions burned: 25 (million)
% 1.60/0.56 % (31872)------------------------------
% 1.60/0.56 % (31872)------------------------------
% 1.60/0.56 % (31864)Refutation not found, non-redundant clauses discarded% (31864)------------------------------
% 1.60/0.56 % (31864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (31864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (31864)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.60/0.56
% 1.60/0.56 % (31864)Memory used [KB]: 6524
% 1.60/0.56 % (31864)Time elapsed: 0.163 s
% 1.60/0.56 % (31864)Instructions burned: 32 (million)
% 1.60/0.56 % (31864)------------------------------
% 1.60/0.56 % (31864)------------------------------
% 1.60/0.57 % (31879)Refutation not found, incomplete strategy% (31879)------------------------------
% 1.60/0.57 % (31879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (31879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (31879)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.57
% 1.60/0.57 % (31879)Memory used [KB]: 10490
% 1.60/0.57 % (31879)Time elapsed: 0.160 s
% 1.60/0.57 % (31879)Instructions burned: 9 (million)
% 1.60/0.57 % (31879)------------------------------
% 1.60/0.57 % (31879)------------------------------
% 1.60/0.58 % (31866)Instruction limit reached!
% 1.60/0.58 % (31866)------------------------------
% 1.60/0.58 % (31866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (31866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (31866)Termination reason: Unknown
% 1.60/0.58 % (31866)Termination phase: Saturation
% 1.60/0.58
% 1.60/0.58 % (31866)Memory used [KB]: 1663
% 1.60/0.58 % (31866)Time elapsed: 0.184 s
% 1.60/0.58 % (31866)Instructions burned: 50 (million)
% 1.60/0.58 % (31866)------------------------------
% 1.60/0.58 % (31866)------------------------------
% 1.60/0.58 % (31861)Instruction limit reached!
% 1.60/0.58 % (31861)------------------------------
% 1.60/0.58 % (31861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (31861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (31861)Termination reason: Unknown
% 1.60/0.58 % (31861)Termination phase: Saturation
% 1.60/0.58
% 1.60/0.58 % (31861)Memory used [KB]: 1663
% 1.60/0.58 % (31861)Time elapsed: 0.187 s
% 1.60/0.58 % (31861)Instructions burned: 42 (million)
% 1.60/0.58 % (31861)------------------------------
% 1.60/0.58 % (31861)------------------------------
% 1.60/0.58 % (31860)First to succeed.
% 1.60/0.58 % (31863)Instruction limit reached!
% 1.60/0.58 % (31863)------------------------------
% 1.60/0.58 % (31863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (31863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (31863)Termination reason: Unknown
% 1.60/0.58 % (31863)Termination phase: Saturation
% 1.60/0.58
% 1.60/0.58 % (31863)Memory used [KB]: 6780
% 1.60/0.58 % (31863)Time elapsed: 0.194 s
% 1.60/0.58 % (31863)Instructions burned: 43 (million)
% 1.60/0.58 % (31863)------------------------------
% 1.60/0.58 % (31863)------------------------------
% 1.60/0.60 % (31885)Instruction limit reached!
% 1.60/0.60 % (31885)------------------------------
% 1.60/0.60 % (31885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (31860)Refutation found. Thanks to Tanya!
% 1.60/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.60 % (31860)------------------------------
% 1.60/0.60 % (31860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60 % (31860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.60 % (31860)Termination reason: Refutation
% 1.60/0.60
% 1.60/0.60 % (31860)Memory used [KB]: 6780
% 1.60/0.60 % (31860)Time elapsed: 0.192 s
% 1.60/0.60 % (31860)Instructions burned: 53 (million)
% 1.60/0.60 % (31860)------------------------------
% 1.60/0.60 % (31860)------------------------------
% 1.60/0.60 % (31855)Success in time 0.263 s
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