TSTP Solution File: GRP319-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP319-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 16:21:17 EDT 2022
% Result : Unsatisfiable 1.89s 0.61s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 65
% Syntax : Number of formulae : 362 ( 42 unt; 0 def)
% Number of atoms : 1302 ( 429 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1859 ( 919 ~; 920 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1712,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f107,f126,f136,f145,f146,f147,f148,f154,f155,f156,f158,f159,f160,f161,f164,f166,f167,f168,f169,f170,f186,f188,f189,f190,f191,f193,f423,f560,f854,f866,f989,f1014,f1062,f1100,f1204,f1250,f1302,f1328,f1348,f1358,f1361,f1368,f1487,f1673,f1711]) ).
fof(f1711,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_22
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1710,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1709,f1341]) ).
fof(f1341,plain,
( identity = inverse(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1340,f1199]) ).
fof(f1199,plain,
( identity = sk_c9
| ~ spl15_3
| ~ spl15_8 ),
inference(superposition,[],[f106,f1181]) ).
fof(f1181,plain,
( identity = sF13
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1180,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1180,plain,
( sF13 = multiply(inverse(sk_c8),sk_c8)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f517,f130]) ).
fof(f130,plain,
( sk_c8 = sF12
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_8
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f517,plain,
sF13 = multiply(inverse(sF12),sk_c8),
inference(superposition,[],[f262,f305]) ).
fof(f305,plain,
sk_c8 = multiply(sF12,sF13),
inference(forward_demodulation,[],[f292,f64]) ).
fof(f64,plain,
inverse(sk_c1) = sF12,
introduced(function_definition,[]) ).
fof(f292,plain,
sk_c8 = multiply(inverse(sk_c1),sF13),
inference(superposition,[],[f262,f68]) ).
fof(f68,plain,
multiply(sk_c1,sk_c8) = sF13,
introduced(function_definition,[]) ).
fof(f262,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f240,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f240,plain,
! [X10,X11] : multiply(identity,X11) = multiply(inverse(X10),multiply(X10,X11)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f106,plain,
( sk_c9 = sF13
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl15_3
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f1340,plain,
( sk_c9 = inverse(identity)
| ~ spl15_7
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1333,f124]) ).
fof(f124,plain,
( sk_c9 = sF7
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl15_7
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1333,plain,
( inverse(identity) = sF7
| ~ spl15_22 ),
inference(superposition,[],[f56,f828]) ).
fof(f828,plain,
( identity = sk_c2
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl15_22
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f56,plain,
inverse(sk_c2) = sF7,
introduced(function_definition,[]) ).
fof(f1709,plain,
( identity != inverse(identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1708,f863]) ).
fof(f863,plain,
( identity = sk_c8
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl15_24
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f1708,plain,
( identity != inverse(sk_c8)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1684,f1396]) ).
fof(f1396,plain,
( identity = sF2
| ~ spl15_3
| ~ spl15_8
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1395,f1199]) ).
fof(f1395,plain,
( sk_c9 = sF2
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1383,f208]) ).
fof(f208,plain,
sk_c9 = sF8(identity),
inference(superposition,[],[f1,f58]) ).
fof(f58,plain,
! [X8] : multiply(X8,sk_c9) = sF8(X8),
introduced(function_definition,[]) ).
fof(f1383,plain,
( sF2 = sF8(identity)
| ~ spl15_24 ),
inference(superposition,[],[f210,f863]) ).
fof(f210,plain,
sF8(sk_c8) = sF2,
inference(superposition,[],[f45,f58]) ).
fof(f45,plain,
multiply(sk_c8,sk_c9) = sF2,
introduced(function_definition,[]) ).
fof(f1684,plain,
( identity != inverse(sk_c8)
| identity != sF2
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(superposition,[],[f1677,f210]) ).
fof(f1677,plain,
( ! [X8] :
( identity != sF8(X8)
| identity != inverse(X8) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1676,f863]) ).
fof(f1676,plain,
( ! [X8] :
( sk_c8 != sF8(X8)
| identity != inverse(X8) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1675,f1222]) ).
fof(f1222,plain,
( sk_c8 = sk_c7
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1221,f1205]) ).
fof(f1205,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1200,f130]) ).
fof(f1200,plain,
( sk_c8 = multiply(sF12,identity)
| ~ spl15_8 ),
inference(superposition,[],[f305,f1181]) ).
fof(f1221,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1214,f144]) ).
fof(f144,plain,
( sk_c7 = sF2
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_11
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f1214,plain,
( multiply(sk_c8,identity) = sF2
| ~ spl15_3
| ~ spl15_8 ),
inference(superposition,[],[f45,f1199]) ).
fof(f1675,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != sF8(X8) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1674,f863]) ).
fof(f1674,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != sF8(X8) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(forward_demodulation,[],[f182,f1222]) ).
fof(f182,plain,
( ! [X8] :
( sk_c7 != inverse(X8)
| sk_c7 != sF8(X8) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl15_16
<=> ! [X8] :
( sk_c7 != sF8(X8)
| sk_c7 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f1673,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_22
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1671,f1511]) ).
fof(f1511,plain,
( identity = sF8(identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1505,f863]) ).
fof(f1505,plain,
( sk_c8 = sF8(sk_c8)
| ~ spl15_3
| ~ spl15_8 ),
inference(superposition,[],[f1109,f58]) ).
fof(f1109,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl15_3
| ~ spl15_8 ),
inference(forward_demodulation,[],[f900,f106]) ).
fof(f900,plain,
( sk_c8 = multiply(sk_c8,sF13)
| ~ spl15_8 ),
inference(superposition,[],[f305,f130]) ).
fof(f1671,plain,
( identity != sF8(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_22
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1670,f1199]) ).
fof(f1670,plain,
( identity != sF8(sk_c9)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1666,f1341]) ).
fof(f1666,plain,
( identity != sF8(sk_c9)
| identity != inverse(identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_14
| ~ spl15_24 ),
inference(superposition,[],[f1489,f233]) ).
fof(f233,plain,
sF8(sk_c9) = sF10(identity),
inference(forward_demodulation,[],[f228,f58]) ).
fof(f228,plain,
multiply(sk_c9,sk_c9) = sF10(identity),
inference(superposition,[],[f60,f208]) ).
fof(f60,plain,
! [X5] : multiply(sk_c9,sF8(X5)) = sF10(X5),
introduced(function_definition,[]) ).
fof(f1489,plain,
( ! [X5] :
( identity != sF10(X5)
| identity != inverse(X5) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1488,f1199]) ).
fof(f1488,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| identity != sF10(X5) )
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f176,f863]) ).
fof(f176,plain,
( ! [X5] :
( sk_c8 != sF10(X5)
| sk_c9 != inverse(X5) )
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl15_14
<=> ! [X5] :
( sk_c8 != sF10(X5)
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f1487,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_15
| ~ spl15_22
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
fof(f1486,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_15
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1485,f1341]) ).
fof(f1485,plain,
( identity != inverse(identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_15
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1455,f863]) ).
fof(f1455,plain,
( identity != sk_c8
| identity != inverse(identity)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_15
| ~ spl15_24 ),
inference(superposition,[],[f1371,f218]) ).
fof(f218,plain,
sk_c8 = sF9(identity),
inference(superposition,[],[f59,f1]) ).
fof(f59,plain,
! [X7] : multiply(X7,sk_c8) = sF9(X7),
introduced(function_definition,[]) ).
fof(f1371,plain,
( ! [X3] :
( identity != sF9(X3)
| identity != inverse(X3) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_15
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1370,f863]) ).
fof(f1370,plain,
( ! [X3] :
( identity != sF9(X3)
| sk_c8 != inverse(X3) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_15 ),
inference(forward_demodulation,[],[f179,f1199]) ).
fof(f179,plain,
( ! [X3] :
( sk_c9 != sF9(X3)
| sk_c8 != inverse(X3) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl15_15
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != sF9(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f1368,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1366,f1341]) ).
fof(f1366,plain,
( identity != inverse(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1365,f1341]) ).
fof(f1365,plain,
( identity != inverse(inverse(identity))
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1364,f863]) ).
fof(f1364,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1253,f863]) ).
fof(f1253,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != sk_c8
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(superposition,[],[f1251,f223]) ).
fof(f223,plain,
identity = sF9(inverse(sk_c8)),
inference(superposition,[],[f2,f59]) ).
fof(f1251,plain,
( ! [X7] :
( sk_c8 != sF9(X7)
| sk_c8 != inverse(X7) )
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f185,f1222]) ).
fof(f185,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != sF9(X7) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl15_17
<=> ! [X7] :
( sk_c7 != sF9(X7)
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f1361,plain,
( ~ spl15_24
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_17
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f1360,f1262,f184,f142,f138,f128,f104,f862]) ).
fof(f138,plain,
( spl15_10
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f1262,plain,
( spl15_27
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f1360,plain,
( identity != sk_c8
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_17
| ~ spl15_27 ),
inference(subsumption_resolution,[],[f1359,f1263]) ).
fof(f1263,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f1359,plain,
( identity != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f1267,f1281]) ).
fof(f1281,plain,
( sk_c5 = sk_c1
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1278,f284]) ).
fof(f284,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_10 ),
inference(superposition,[],[f262,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f195,f140]) ).
fof(f140,plain,
( sk_c8 = sF4
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f195,plain,
identity = multiply(sF4,sk_c5),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
inverse(sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f1278,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl15_8 ),
inference(superposition,[],[f262,f901]) ).
fof(f901,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl15_8 ),
inference(superposition,[],[f197,f130]) ).
fof(f197,plain,
identity = multiply(sF12,sk_c1),
inference(superposition,[],[f2,f64]) ).
fof(f1267,plain,
( identity != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f1266,f1199]) ).
fof(f1266,plain,
( sk_c8 != inverse(sk_c1)
| sk_c8 != sk_c9
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f1255,f106]) ).
fof(f1255,plain,
( sk_c8 != sF13
| sk_c8 != inverse(sk_c1)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(superposition,[],[f1251,f221]) ).
fof(f221,plain,
sF13 = sF9(sk_c1),
inference(superposition,[],[f59,f68]) ).
fof(f1358,plain,
( ~ spl15_24
| ~ spl15_3
| ~ spl15_8
| spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f1319,f142,f138,f133,f128,f104,f862]) ).
fof(f133,plain,
( spl15_9
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f1319,plain,
( identity != sk_c8
| ~ spl15_3
| ~ spl15_8
| spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(superposition,[],[f1318,f1222]) ).
fof(f1318,plain,
( identity != sk_c7
| ~ spl15_3
| ~ spl15_8
| spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f134,f1314]) ).
fof(f1314,plain,
( identity = sF3
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10 ),
inference(superposition,[],[f1304,f224]) ).
fof(f224,plain,
sF9(sk_c5) = sF3,
inference(superposition,[],[f46,f59]) ).
fof(f46,plain,
multiply(sk_c5,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f1304,plain,
( identity = sF9(sk_c5)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1303,f1199]) ).
fof(f1303,plain,
( sk_c9 = sF9(sk_c5)
| ~ spl15_3
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1296,f106]) ).
fof(f1296,plain,
( sF9(sk_c5) = sF13
| ~ spl15_8
| ~ spl15_10 ),
inference(superposition,[],[f221,f1281]) ).
fof(f134,plain,
( sk_c7 != sF3
| spl15_9 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1348,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_22
| spl15_24 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_22
| spl15_24 ),
inference(subsumption_resolution,[],[f1346,f864]) ).
fof(f864,plain,
( identity != sk_c8
| spl15_24 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f1346,plain,
( identity = sk_c8
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1345,f1199]) ).
fof(f1345,plain,
( sk_c8 = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1344,f1225]) ).
fof(f1225,plain,
( sk_c8 = sk_c3
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1224,f97]) ).
fof(f97,plain,
( sk_c8 = sF6
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl15_1
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f1224,plain,
( sk_c3 = sF6
| ~ spl15_3
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1215,f1]) ).
fof(f1215,plain,
( sF6 = multiply(identity,sk_c3)
| ~ spl15_3
| ~ spl15_8 ),
inference(superposition,[],[f53,f1199]) ).
fof(f53,plain,
multiply(sk_c9,sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f1344,plain,
( sk_c9 = sk_c3
| ~ spl15_5
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1343,f208]) ).
fof(f1343,plain,
( sk_c3 = sF8(identity)
| ~ spl15_5
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1331,f115]) ).
fof(f115,plain,
( sk_c3 = sF1
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl15_5
<=> sk_c3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f1331,plain,
( sF8(identity) = sF1
| ~ spl15_22 ),
inference(superposition,[],[f207,f828]) ).
fof(f207,plain,
sF8(sk_c2) = sF1,
inference(superposition,[],[f58,f43]) ).
fof(f43,plain,
multiply(sk_c2,sk_c9) = sF1,
introduced(function_definition,[]) ).
fof(f1328,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| spl15_22 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1327,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8
| spl15_22 ),
inference(subsumption_resolution,[],[f1326,f829]) ).
fof(f829,plain,
( identity != sk_c2
| spl15_22 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1326,plain,
( identity = sk_c2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1325,f2]) ).
fof(f1325,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1321,f1199]) ).
fof(f1321,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl15_7 ),
inference(superposition,[],[f262,f1196]) ).
fof(f1196,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl15_7 ),
inference(superposition,[],[f198,f124]) ).
fof(f198,plain,
identity = multiply(sF7,sk_c2),
inference(superposition,[],[f2,f56]) ).
fof(f1302,plain,
( spl15_27
| ~ spl15_8
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f1301,f138,f128,f1262]) ).
fof(f1301,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1293,f130]) ).
fof(f1293,plain,
( inverse(sk_c5) = sF12
| ~ spl15_8
| ~ spl15_10 ),
inference(superposition,[],[f64,f1281]) ).
fof(f1250,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1248,f1225]) ).
fof(f1248,plain,
( sk_c8 != sk_c3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_13 ),
inference(superposition,[],[f1247,f115]) ).
fof(f1247,plain,
( sk_c8 != sF1
| ~ spl15_7
| ~ spl15_13 ),
inference(superposition,[],[f1246,f207]) ).
fof(f1246,plain,
( sk_c8 != sF8(sk_c2)
| ~ spl15_7
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1238,f124]) ).
fof(f1238,plain,
( sk_c8 != sF8(sk_c2)
| sk_c9 != sF7
| ~ spl15_13 ),
inference(superposition,[],[f173,f56]) ).
fof(f173,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != sF8(X6) )
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl15_13
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != sF8(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f1204,plain,
( ~ spl15_2
| ~ spl15_3
| spl15_6
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| spl15_6
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f1199,f1155]) ).
fof(f1155,plain,
( identity != sk_c9
| ~ spl15_2
| spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1154,f314]) ).
fof(f314,plain,
( identity = sk_c7
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f312,f2]) ).
fof(f312,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f262,f299]) ).
fof(f299,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f298,f140]) ).
fof(f298,plain,
( sk_c8 = multiply(sF4,sk_c7)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f297,f48]) ).
fof(f297,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f290,f135]) ).
fof(f135,plain,
( sk_c7 = sF3
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f290,plain,
sk_c8 = multiply(inverse(sk_c5),sF3),
inference(superposition,[],[f262,f46]) ).
fof(f1154,plain,
( sk_c9 != sk_c7
| ~ spl15_2
| spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f119,f661]) ).
fof(f661,plain,
( sk_c9 = sF14
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f649,f1]) ).
fof(f649,plain,
( sF14 = multiply(identity,sk_c9)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f73,f643]) ).
fof(f643,plain,
( identity = sk_c6
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f317,f1]) ).
fof(f317,plain,
( identity = multiply(identity,sk_c6)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f201,f314]) ).
fof(f201,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl15_2 ),
inference(forward_demodulation,[],[f196,f101]) ).
fof(f101,plain,
( sk_c7 = sF5
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl15_2
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f196,plain,
identity = multiply(sF5,sk_c6),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f73,plain,
multiply(sk_c6,sk_c9) = sF14,
introduced(function_definition,[]) ).
fof(f119,plain,
( sk_c7 != sF14
| spl15_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl15_6
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f1100,plain,
( ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1098,f852]) ).
fof(f852,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f659,f314]) ).
fof(f659,plain,
( sk_c7 = inverse(identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f648,f101]) ).
fof(f648,plain,
( inverse(identity) = sF5
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f50,f643]) ).
fof(f1098,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1097,f852]) ).
fof(f1097,plain,
( identity != inverse(inverse(identity))
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1078,f863]) ).
fof(f1078,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1072,plain,
( identity != inverse(inverse(sk_c8))
| identity != identity
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(superposition,[],[f1064,f223]) ).
fof(f1064,plain,
( ! [X7] :
( identity != sF9(X7)
| identity != inverse(X7) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1063,f863]) ).
fof(f1063,plain,
( ! [X7] :
( identity != sF9(X7)
| sk_c8 != inverse(X7) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_17 ),
inference(forward_demodulation,[],[f185,f314]) ).
fof(f1062,plain,
( ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1060,f852]) ).
fof(f1060,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1059,f863]) ).
fof(f1059,plain,
( identity != inverse(sk_c8)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1058,f863]) ).
fof(f1058,plain,
( identity != sk_c8
| identity != inverse(sk_c8)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1034,f370]) ).
fof(f370,plain,
( sk_c8 = sF2
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f357,f316]) ).
fof(f316,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f299,f314]) ).
fof(f357,plain,
( multiply(sk_c8,identity) = sF2
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f45,f349]) ).
fof(f349,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f346,f1]) ).
fof(f346,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f304,f314]) ).
fof(f304,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl15_2
| ~ spl15_6 ),
inference(forward_demodulation,[],[f303,f101]) ).
fof(f303,plain,
( sk_c9 = multiply(sF5,sk_c7)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f302,f50]) ).
fof(f302,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f291,f120]) ).
fof(f120,plain,
( sk_c7 = sF14
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f291,plain,
sk_c9 = multiply(inverse(sk_c6),sF14),
inference(superposition,[],[f262,f73]) ).
fof(f1034,plain,
( identity != sF2
| identity != inverse(sk_c8)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(superposition,[],[f1017,f210]) ).
fof(f1017,plain,
( ! [X6] :
( identity != sF8(X6)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1016,f863]) ).
fof(f1016,plain,
( ! [X6] :
( sk_c8 != sF8(X6)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13 ),
inference(forward_demodulation,[],[f173,f349]) ).
fof(f1014,plain,
( ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1013,plain,
( $false
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1012,f474]) ).
fof(f474,plain,
( identity = sF8(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f459,f349]) ).
fof(f459,plain,
( sk_c9 = sF8(sk_c9)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f330,f58]) ).
fof(f330,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f329,f1]) ).
fof(f329,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,X0)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f328,f314]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f327,f101]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sF5,X0)
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f326,f50]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c6),X0)
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f325,f1]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f323,f314]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
| ~ spl15_6 ),
inference(superposition,[],[f262,f258]) ).
fof(f258,plain,
( ! [X21] : multiply(sk_c7,X21) = multiply(sk_c6,multiply(sk_c9,X21))
| ~ spl15_6 ),
inference(forward_demodulation,[],[f249,f120]) ).
fof(f249,plain,
! [X21] : multiply(sF14,X21) = multiply(sk_c6,multiply(sk_c9,X21)),
inference(superposition,[],[f3,f73]) ).
fof(f1012,plain,
( identity != sF8(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1011,f349]) ).
fof(f1011,plain,
( identity != sF8(sk_c9)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f1010,f852]) ).
fof(f1010,plain,
( identity != sF8(sk_c9)
| identity != inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(superposition,[],[f991,f233]) ).
fof(f991,plain,
( ! [X5] :
( identity != sF10(X5)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f990,f349]) ).
fof(f990,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| identity != sF10(X5) )
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f176,f863]) ).
fof(f989,plain,
( ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f988,plain,
( $false
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f987,f852]) ).
fof(f987,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(forward_demodulation,[],[f986,f852]) ).
fof(f986,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(forward_demodulation,[],[f975,f863]) ).
fof(f975,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(trivial_inequality_removal,[],[f971]) ).
fof(f971,plain,
( identity != identity
| identity != inverse(inverse(sk_c8))
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(superposition,[],[f878,f223]) ).
fof(f878,plain,
( ! [X3] :
( identity != sF9(X3)
| identity != inverse(X3) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_24 ),
inference(forward_demodulation,[],[f877,f863]) ).
fof(f877,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != sF9(X3) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(forward_demodulation,[],[f179,f349]) ).
fof(f866,plain,
( spl15_24
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f427,f142,f138,f133,f118,f99,f862]) ).
fof(f427,plain,
( identity = sk_c8
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(forward_demodulation,[],[f426,f314]) ).
fof(f426,plain,
( sk_c8 = sk_c7
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11 ),
inference(forward_demodulation,[],[f144,f370]) ).
fof(f854,plain,
( ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f853,plain,
( $false
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f852,f843]) ).
fof(f843,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f813,f349]) ).
fof(f813,plain,
( identity != sk_c9
| identity != inverse(identity)
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(superposition,[],[f811,f208]) ).
fof(f811,plain,
( ! [X8] :
( identity != sF8(X8)
| identity != inverse(X8) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(forward_demodulation,[],[f810,f314]) ).
fof(f810,plain,
( ! [X8] :
( sk_c7 != inverse(X8)
| identity != sF8(X8) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16 ),
inference(forward_demodulation,[],[f182,f314]) ).
fof(f560,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f558,f486]) ).
fof(f486,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f485,f349]) ).
fof(f485,plain,
( sk_c9 = inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f483,f152]) ).
fof(f152,plain,
( sk_c9 = sF11
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl15_12
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f483,plain,
( inverse(identity) = sF11
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(superposition,[],[f62,f463]) ).
fof(f463,plain,
( identity = sk_c4
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(superposition,[],[f200,f330]) ).
fof(f200,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f194,f152]) ).
fof(f194,plain,
identity = multiply(sF11,sk_c4),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f558,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f524,f417]) ).
fof(f417,plain,
( identity = sk_c8
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f416,f367]) ).
fof(f367,plain,
( identity = multiply(sk_c6,identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f366,f314]) ).
fof(f366,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f361,f120]) ).
fof(f361,plain,
( multiply(sk_c6,identity) = sF14
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f73,f349]) ).
fof(f416,plain,
( sk_c8 = multiply(sk_c6,identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f415,f349]) ).
fof(f415,plain,
( sk_c8 = multiply(sk_c6,sk_c9)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f414,f218]) ).
fof(f414,plain,
( multiply(sk_c6,sk_c9) = sF9(identity)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f413,f314]) ).
fof(f413,plain,
( multiply(sk_c6,sk_c9) = sF9(sk_c7)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f407,f59]) ).
fof(f407,plain,
( multiply(sk_c6,sk_c9) = multiply(sk_c7,sk_c8)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(superposition,[],[f258,f308]) ).
fof(f308,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl15_4
| ~ spl15_12 ),
inference(forward_demodulation,[],[f307,f152]) ).
fof(f307,plain,
( sk_c9 = multiply(sF11,sk_c8)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f306,f62]) ).
fof(f306,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f289,f111]) ).
fof(f111,plain,
( sk_c8 = sF0
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl15_4
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f289,plain,
sk_c9 = multiply(inverse(sk_c4),sF0),
inference(superposition,[],[f262,f42]) ).
fof(f42,plain,
multiply(sk_c4,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f524,plain,
( identity != sk_c8
| identity != inverse(identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13 ),
inference(superposition,[],[f425,f474]) ).
fof(f425,plain,
( ! [X6] :
( sk_c8 != sF8(X6)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13 ),
inference(forward_demodulation,[],[f173,f349]) ).
fof(f423,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| spl15_11
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| spl15_11
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f421,f374]) ).
fof(f374,plain,
( identity != sk_c8
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| spl15_11 ),
inference(forward_demodulation,[],[f373,f314]) ).
fof(f373,plain,
( sk_c8 != sk_c7
| ~ spl15_2
| ~ spl15_6
| ~ spl15_9
| ~ spl15_10
| spl15_11 ),
inference(superposition,[],[f143,f370]) ).
fof(f143,plain,
( sk_c7 != sF2
| spl15_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f421,plain,
( identity = sk_c8
| ~ spl15_4
| ~ spl15_12 ),
inference(forward_demodulation,[],[f409,f2]) ).
fof(f409,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl15_4
| ~ spl15_12 ),
inference(superposition,[],[f262,f308]) ).
fof(f193,plain,
( spl15_1
| spl15_10 ),
inference(avatar_split_clause,[],[f54,f138,f95]) ).
fof(f54,plain,
( sk_c8 = sF4
| sk_c8 = sF6 ),
inference(definition_folding,[],[f25,f53,f48]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f191,plain,
( spl15_6
| spl15_3 ),
inference(avatar_split_clause,[],[f87,f104,f118]) ).
fof(f87,plain,
( sk_c9 = sF13
| sk_c7 = sF14 ),
inference(definition_folding,[],[f15,f73,f68]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f190,plain,
( spl15_2
| spl15_8 ),
inference(avatar_split_clause,[],[f72,f128,f99]) ).
fof(f72,plain,
( sk_c8 = sF12
| sk_c7 = sF5 ),
inference(definition_folding,[],[f20,f50,f64]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f189,plain,
( spl15_5
| spl15_10 ),
inference(avatar_split_clause,[],[f52,f138,f113]) ).
fof(f52,plain,
( sk_c8 = sF4
| sk_c3 = sF1 ),
inference(definition_folding,[],[f31,f48,f43]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f188,plain,
( spl15_2
| spl15_7 ),
inference(avatar_split_clause,[],[f80,f122,f99]) ).
fof(f80,plain,
( sk_c9 = sF7
| sk_c7 = sF5 ),
inference(definition_folding,[],[f38,f50,f56]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f186,plain,
( spl15_13
| ~ spl15_11
| spl15_14
| spl15_15
| spl15_16
| spl15_17 ),
inference(avatar_split_clause,[],[f61,f184,f181,f178,f175,f142,f172]) ).
fof(f61,plain,
! [X3,X8,X6,X7,X5] :
( sk_c7 != sF9(X7)
| sk_c7 != sF8(X8)
| sk_c8 != inverse(X3)
| sk_c8 != sF10(X5)
| sk_c7 != sF2
| sk_c9 != inverse(X6)
| sk_c8 != sF8(X6)
| sk_c9 != inverse(X5)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c9 != sF9(X3) ),
inference(definition_folding,[],[f41,f45,f60,f58,f59,f59,f58,f58]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X5] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5)
| sk_c7 != inverse(X8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c7 != inverse(X8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f170,plain,
( spl15_10
| spl15_7 ),
inference(avatar_split_clause,[],[f92,f122,f138]) ).
fof(f92,plain,
( sk_c9 = sF7
| sk_c8 = sF4 ),
inference(definition_folding,[],[f37,f56,f48]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f169,plain,
( spl15_6
| spl15_8 ),
inference(avatar_split_clause,[],[f88,f128,f118]) ).
fof(f88,plain,
( sk_c8 = sF12
| sk_c7 = sF14 ),
inference(definition_folding,[],[f21,f64,f73]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f168,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f71,f150,f142]) ).
fof(f71,plain,
( sk_c9 = sF11
| sk_c7 = sF2 ),
inference(definition_folding,[],[f5,f45,f62]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f167,plain,
( spl15_12
| spl15_1 ),
inference(avatar_split_clause,[],[f70,f95,f150]) ).
fof(f70,plain,
( sk_c8 = sF6
| sk_c9 = sF11 ),
inference(definition_folding,[],[f23,f53,f62]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f166,plain,
( spl15_4
| spl15_11 ),
inference(avatar_split_clause,[],[f83,f142,f109]) ).
fof(f83,plain,
( sk_c7 = sF2
| sk_c8 = sF0 ),
inference(definition_folding,[],[f4,f45,f42]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f164,plain,
( spl15_11
| spl15_6 ),
inference(avatar_split_clause,[],[f78,f118,f142]) ).
fof(f78,plain,
( sk_c7 = sF14
| sk_c7 = sF2 ),
inference(definition_folding,[],[f9,f45,f73]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f161,plain,
( spl15_10
| spl15_8 ),
inference(avatar_split_clause,[],[f93,f128,f138]) ).
fof(f93,plain,
( sk_c8 = sF12
| sk_c8 = sF4 ),
inference(definition_folding,[],[f19,f64,f48]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f160,plain,
( spl15_9
| spl15_8 ),
inference(avatar_split_clause,[],[f86,f128,f133]) ).
fof(f86,plain,
( sk_c8 = sF12
| sk_c7 = sF3 ),
inference(definition_folding,[],[f18,f64,f46]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f159,plain,
( spl15_9
| spl15_3 ),
inference(avatar_split_clause,[],[f89,f104,f133]) ).
fof(f89,plain,
( sk_c9 = sF13
| sk_c7 = sF3 ),
inference(definition_folding,[],[f12,f68,f46]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f158,plain,
( spl15_9
| spl15_11 ),
inference(avatar_split_clause,[],[f47,f142,f133]) ).
fof(f47,plain,
( sk_c7 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f6,f46,f45]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f156,plain,
( spl15_7
| spl15_9 ),
inference(avatar_split_clause,[],[f57,f133,f122]) ).
fof(f57,plain,
( sk_c7 = sF3
| sk_c9 = sF7 ),
inference(definition_folding,[],[f36,f56,f46]) ).
fof(f36,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f155,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f67,f99,f142]) ).
fof(f67,plain,
( sk_c7 = sF5
| sk_c7 = sF2 ),
inference(definition_folding,[],[f8,f45,f50]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f154,plain,
( spl15_5
| spl15_9 ),
inference(avatar_split_clause,[],[f77,f133,f113]) ).
fof(f77,plain,
( sk_c7 = sF3
| sk_c3 = sF1 ),
inference(definition_folding,[],[f30,f46,f43]) ).
fof(f30,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f148,plain,
( spl15_6
| spl15_1 ),
inference(avatar_split_clause,[],[f90,f95,f118]) ).
fof(f90,plain,
( sk_c8 = sF6
| sk_c7 = sF14 ),
inference(definition_folding,[],[f27,f73,f53]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f147,plain,
( spl15_3
| spl15_10 ),
inference(avatar_split_clause,[],[f82,f138,f104]) ).
fof(f82,plain,
( sk_c8 = sF4
| sk_c9 = sF13 ),
inference(definition_folding,[],[f13,f68,f48]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f146,plain,
( spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f84,f95,f109]) ).
fof(f84,plain,
( sk_c8 = sF6
| sk_c8 = sF0 ),
inference(definition_folding,[],[f22,f53,f42]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f145,plain,
( spl15_10
| spl15_11 ),
inference(avatar_split_clause,[],[f49,f142,f138]) ).
fof(f49,plain,
( sk_c7 = sF2
| sk_c8 = sF4 ),
inference(definition_folding,[],[f7,f45,f48]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f136,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f55,f95,f133]) ).
fof(f55,plain,
( sk_c8 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f24,f53,f46]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f126,plain,
( spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f51,f113,f99]) ).
fof(f51,plain,
( sk_c3 = sF1
| sk_c7 = sF5 ),
inference(definition_folding,[],[f32,f50,f43]) ).
fof(f32,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f107,plain,
( spl15_2
| spl15_3 ),
inference(avatar_split_clause,[],[f69,f104,f99]) ).
fof(f69,plain,
( sk_c9 = sF13
| sk_c7 = sF5 ),
inference(definition_folding,[],[f14,f68,f50]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f102,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f91,f99,f95]) ).
fof(f91,plain,
( sk_c7 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f26,f50,f53]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP319-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:24:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (9231)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (9241)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (9238)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (9236)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9231)Instruction limit reached!
% 0.20/0.52 % (9231)------------------------------
% 0.20/0.52 % (9231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9231)Termination reason: Unknown
% 0.20/0.52 % (9231)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (9231)Memory used [KB]: 6524
% 0.20/0.52 % (9231)Time elapsed: 0.085 s
% 0.20/0.52 % (9231)Instructions burned: 53 (million)
% 0.20/0.52 % (9231)------------------------------
% 0.20/0.52 % (9231)------------------------------
% 0.20/0.53 % (9229)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (9234)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (9250)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (9227)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (9232)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (9230)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (9233)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (9239)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (9240)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (9241)Instruction limit reached!
% 0.20/0.54 % (9241)------------------------------
% 0.20/0.54 % (9241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (9241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (9241)Termination reason: Unknown
% 0.20/0.54 % (9241)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (9241)Memory used [KB]: 6396
% 0.20/0.54 % (9241)Time elapsed: 0.039 s
% 0.20/0.54 % (9241)Instructions burned: 69 (million)
% 0.20/0.54 % (9241)------------------------------
% 0.20/0.54 % (9241)------------------------------
% 0.20/0.54 % (9237)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (9251)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (9249)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (9252)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (9242)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55 % (9255)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (9254)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (9243)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (9256)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (9234)Instruction limit reached!
% 0.20/0.55 % (9234)------------------------------
% 0.20/0.55 % (9234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9234)Termination reason: Unknown
% 0.20/0.55 % (9234)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9234)Memory used [KB]: 5500
% 0.20/0.55 % (9234)Time elapsed: 0.113 s
% 0.20/0.55 % (9234)Instructions burned: 8 (million)
% 0.20/0.55 % (9234)------------------------------
% 0.20/0.55 % (9234)------------------------------
% 0.20/0.55 % (9228)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (9247)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (9235)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (9246)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (9235)Instruction limit reached!
% 0.20/0.55 % (9235)------------------------------
% 0.20/0.55 % (9235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9235)Termination reason: Unknown
% 0.20/0.55 % (9235)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (9235)Memory used [KB]: 895
% 0.20/0.55 % (9235)Time elapsed: 0.002 s
% 0.20/0.55 % (9235)Instructions burned: 2 (million)
% 0.20/0.55 % (9235)------------------------------
% 0.20/0.55 % (9235)------------------------------
% 0.20/0.55 % (9248)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (9245)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (9253)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.56 % (9244)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 TRYING [3]
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 TRYING [4]
% 0.20/0.59 TRYING [4]
% 0.20/0.59 % (9240)First to succeed.
% 0.20/0.59 TRYING [4]
% 0.20/0.60 % (9233)Instruction limit reached!
% 0.20/0.60 % (9233)------------------------------
% 0.20/0.60 % (9233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (9229)Instruction limit reached!
% 1.89/0.60 % (9229)------------------------------
% 1.89/0.60 % (9229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (9229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (9229)Termination reason: Unknown
% 1.89/0.60 % (9229)Termination phase: Saturation
% 1.89/0.60
% 1.89/0.60 % (9229)Memory used [KB]: 1151
% 1.89/0.60 % (9229)Time elapsed: 0.172 s
% 1.89/0.60 % (9229)Instructions burned: 37 (million)
% 1.89/0.60 % (9229)------------------------------
% 1.89/0.60 % (9229)------------------------------
% 1.89/0.61 % (9289)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.89/0.61 % (9248)Also succeeded, but the first one will report.
% 1.89/0.61 % (9240)Refutation found. Thanks to Tanya!
% 1.89/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.89/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.61 % (9240)------------------------------
% 1.89/0.61 % (9240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (9240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (9240)Termination reason: Refutation
% 1.89/0.61
% 1.89/0.61 % (9240)Memory used [KB]: 6140
% 1.89/0.61 % (9240)Time elapsed: 0.168 s
% 1.89/0.61 % (9240)Instructions burned: 39 (million)
% 1.89/0.61 % (9240)------------------------------
% 1.89/0.61 % (9240)------------------------------
% 1.89/0.61 % (9226)Success in time 0.25 s
%------------------------------------------------------------------------------