TSTP Solution File: GRP269-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP269-1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:06 EDT 2022
% Result : Unsatisfiable 1.39s 0.62s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 87
% Syntax : Number of formulae : 389 ( 7 unt; 0 def)
% Number of atoms : 1635 ( 502 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2437 (1191 ~;1213 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1520,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f82,f91,f100,f105,f110,f111,f116,f140,f145,f146,f147,f152,f153,f154,f158,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f199,f200,f201,f202,f203,f204,f205,f206,f207,f368,f401,f408,f415,f772,f796,f810,f915,f1058,f1062,f1235,f1329,f1400,f1422,f1444,f1484,f1519]) ).
fof(f1519,plain,
( ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1518,plain,
( $false
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(subsumption_resolution,[],[f1513,f1480]) ).
fof(f1480,plain,
( identity = inverse(identity)
| ~ spl4_5
| ~ spl4_42 ),
inference(backward_demodulation,[],[f1462,f1476]) ).
fof(f1476,plain,
( identity = sk_c1
| ~ spl4_5
| ~ spl4_42 ),
inference(forward_demodulation,[],[f1464,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1464,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl4_5
| ~ spl4_42 ),
inference(backward_demodulation,[],[f763,f1386]) ).
fof(f1386,plain,
( identity = sk_c11
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl4_42
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f763,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl4_5 ),
inference(superposition,[],[f222,f536]) ).
fof(f536,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl4_5 ),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl4_5
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f222,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f215,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f215,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f1462,plain,
( identity = inverse(sk_c1)
| ~ spl4_5
| ~ spl4_42 ),
inference(backward_demodulation,[],[f86,f1386]) ).
fof(f1513,plain,
( identity != inverse(identity)
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(duplicate_literal_removal,[],[f1509]) ).
fof(f1509,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(superposition,[],[f1493,f1]) ).
fof(f1493,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(forward_demodulation,[],[f1492,f1480]) ).
fof(f1492,plain,
( ! [X0] :
( inverse(identity) != inverse(multiply(X0,inverse(identity)))
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(forward_demodulation,[],[f1491,f1386]) ).
fof(f1491,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11))) )
| ~ spl4_5
| ~ spl4_42
| ~ spl4_45 ),
inference(forward_demodulation,[],[f1490,f1480]) ).
fof(f1490,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11))) )
| ~ spl4_42
| ~ spl4_45 ),
inference(forward_demodulation,[],[f1399,f1386]) ).
fof(f1399,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11))) )
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl4_45
<=> ! [X0] :
( inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f1484,plain,
( ~ spl4_5
| ~ spl4_42
| spl4_44 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1483,plain,
( $false
| ~ spl4_5
| ~ spl4_42
| spl4_44 ),
inference(subsumption_resolution,[],[f1481,f1]) ).
fof(f1481,plain,
( identity != multiply(identity,identity)
| ~ spl4_5
| ~ spl4_42
| spl4_44 ),
inference(backward_demodulation,[],[f1466,f1480]) ).
fof(f1466,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl4_42
| spl4_44 ),
inference(backward_demodulation,[],[f1396,f1386]) ).
fof(f1396,plain,
( sk_c11 != multiply(sk_c11,inverse(sk_c11))
| spl4_44 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl4_44
<=> sk_c11 = multiply(sk_c11,inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f1444,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| spl4_28 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| spl4_28 ),
inference(subsumption_resolution,[],[f1442,f801]) ).
fof(f801,plain,
( identity != sk_c9
| spl4_28 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f799,plain,
( spl4_28
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f1442,plain,
( identity = sk_c9
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14 ),
inference(forward_demodulation,[],[f1441,f2]) ).
fof(f1441,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14 ),
inference(forward_demodulation,[],[f825,f1427]) ).
fof(f1427,plain,
( sk_c11 = sk_c10
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14 ),
inference(forward_demodulation,[],[f127,f1426]) ).
fof(f1426,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f1425,f86]) ).
fof(f1425,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c9)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f755,f1407]) ).
fof(f1407,plain,
( sk_c1 = sk_c2
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f1404,f763]) ).
fof(f1404,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl4_7 ),
inference(superposition,[],[f222,f1365]) ).
fof(f1365,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl4_7 ),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl4_7
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f755,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c9)
| ~ spl4_3 ),
inference(superposition,[],[f222,f77]) ).
fof(f77,plain,
( sk_c9 = multiply(sk_c2,sk_c11)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl4_3
<=> sk_c9 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f127,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl4_14
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f825,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl4_14 ),
inference(superposition,[],[f222,f127]) ).
fof(f1422,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_28
| spl4_42 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_28
| spl4_42 ),
inference(subsumption_resolution,[],[f1420,f1387]) ).
fof(f1387,plain,
( identity != sk_c11
| spl4_42 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1420,plain,
( identity = sk_c11
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_28 ),
inference(backward_demodulation,[],[f1354,f1411]) ).
fof(f1411,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_28 ),
inference(backward_demodulation,[],[f1343,f1407]) ).
fof(f1343,plain,
( identity = multiply(sk_c2,sk_c11)
| ~ spl4_3
| ~ spl4_28 ),
inference(forward_demodulation,[],[f77,f800]) ).
fof(f800,plain,
( identity = sk_c9
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f1354,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_28 ),
inference(backward_demodulation,[],[f68,f1353]) ).
fof(f1353,plain,
( sk_c11 = sk_c10
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_28 ),
inference(backward_demodulation,[],[f1347,f1352]) ).
fof(f1352,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl4_3
| ~ spl4_7
| ~ spl4_28 ),
inference(forward_demodulation,[],[f1351,f95]) ).
fof(f1351,plain,
( sk_c11 = multiply(inverse(sk_c2),identity)
| ~ spl4_3
| ~ spl4_28 ),
inference(forward_demodulation,[],[f755,f800]) ).
fof(f1347,plain,
( sk_c10 = multiply(sk_c11,identity)
| ~ spl4_14
| ~ spl4_28 ),
inference(forward_demodulation,[],[f127,f800]) ).
fof(f68,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_1
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f1400,plain,
( ~ spl4_44
| spl4_45
| ~ spl4_42
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_16
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f1380,f799,f134,f126,f93,f75,f1385,f1398,f1394]) ).
fof(f134,plain,
( spl4_16
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f1380,plain,
( ! [X0] :
( identity != sk_c11
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_16
| ~ spl4_28 ),
inference(superposition,[],[f1357,f2]) ).
fof(f1357,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_16
| ~ spl4_28 ),
inference(backward_demodulation,[],[f135,f1353]) ).
fof(f135,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),sk_c10) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f1329,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f1327,f1261]) ).
fof(f1261,plain,
( identity = inverse(identity)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_30 ),
inference(forward_demodulation,[],[f843,f878]) ).
fof(f878,plain,
( identity = sk_c11
| ~ spl4_4
| ~ spl4_9 ),
inference(forward_demodulation,[],[f867,f2]) ).
fof(f867,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl4_4
| ~ spl4_9 ),
inference(superposition,[],[f222,f785]) ).
fof(f785,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl4_4
| ~ spl4_9 ),
inference(forward_demodulation,[],[f783,f104]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl4_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f783,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl4_4 ),
inference(superposition,[],[f222,f81]) ).
fof(f81,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl4_4
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f843,plain,
( sk_c11 = inverse(identity)
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f842,plain,
( spl4_30
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f1327,plain,
( identity != inverse(identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(forward_demodulation,[],[f1326,f1261]) ).
fof(f1326,plain,
( identity != inverse(inverse(identity))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f1319,f1261]) ).
fof(f1319,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(superposition,[],[f1265,f2]) ).
fof(f1265,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(forward_demodulation,[],[f1264,f1261]) ).
fof(f1264,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| inverse(identity) != inverse(multiply(X0,inverse(identity))) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(forward_demodulation,[],[f1263,f1261]) ).
fof(f1263,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| inverse(identity) != inverse(multiply(X0,inverse(identity))) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f1122,f1261]) ).
fof(f1122,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| inverse(identity) != inverse(multiply(X0,inverse(identity)))
| identity != inverse(identity) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16 ),
inference(forward_demodulation,[],[f1105,f1]) ).
fof(f1105,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| inverse(identity) != inverse(multiply(X0,inverse(identity)))
| inverse(X0) != multiply(X0,inverse(identity)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16 ),
inference(trivial_inequality_removal,[],[f1104]) ).
fof(f1104,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| identity != identity
| inverse(identity) != inverse(multiply(X0,inverse(identity)))
| inverse(X0) != multiply(X0,inverse(identity)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16 ),
inference(superposition,[],[f1034,f2]) ).
fof(f1034,plain,
( ! [X9,X7] :
( identity != multiply(inverse(X7),identity)
| inverse(X9) != multiply(X9,inverse(X7))
| identity != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_16 ),
inference(backward_demodulation,[],[f1013,f1030]) ).
fof(f1030,plain,
( identity = sk_c10
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_demodulation,[],[f1029,f1]) ).
fof(f1029,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_demodulation,[],[f879,f1004]) ).
fof(f1004,plain,
( identity = sk_c1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_demodulation,[],[f891,f2]) ).
fof(f891,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(backward_demodulation,[],[f763,f878]) ).
fof(f879,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_9 ),
inference(backward_demodulation,[],[f68,f878]) ).
fof(f1013,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(X7))
| identity != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_16 ),
inference(forward_demodulation,[],[f1012,f878]) ).
fof(f1012,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_16 ),
inference(forward_demodulation,[],[f135,f878]) ).
fof(f1235,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1233,f1161]) ).
fof(f1161,plain,
( identity = inverse(identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_25 ),
inference(forward_demodulation,[],[f1055,f733]) ).
fof(f733,plain,
( identity = sk_c8
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl4_25
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f1055,plain,
( sk_c8 = inverse(identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10 ),
inference(forward_demodulation,[],[f104,f1038]) ).
fof(f1038,plain,
( identity = sk_c5
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10 ),
inference(backward_demodulation,[],[f1023,f1030]) ).
fof(f1023,plain,
( sk_c10 = sk_c5
| ~ spl4_4
| ~ spl4_9
| ~ spl4_10 ),
inference(backward_demodulation,[],[f255,f896]) ).
fof(f896,plain,
( sk_c10 = multiply(inverse(sk_c8),identity)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_10 ),
inference(backward_demodulation,[],[f823,f878]) ).
fof(f823,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl4_10 ),
inference(superposition,[],[f222,f109]) ).
fof(f109,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl4_10
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f255,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl4_9 ),
inference(superposition,[],[f222,f210]) ).
fof(f210,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl4_9 ),
inference(superposition,[],[f2,f104]) ).
fof(f1233,plain,
( identity != inverse(identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(forward_demodulation,[],[f1232,f1161]) ).
fof(f1232,plain,
( identity != inverse(inverse(identity))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1225,f1161]) ).
fof(f1225,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(superposition,[],[f1170,f2]) ).
fof(f1170,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(forward_demodulation,[],[f1169,f1161]) ).
fof(f1169,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| inverse(identity) != inverse(multiply(X0,inverse(identity))) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(forward_demodulation,[],[f1168,f1161]) ).
fof(f1168,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(identity))
| inverse(identity) != inverse(multiply(X0,inverse(identity))) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10
| ~ spl4_16
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f1122,f1161]) ).
fof(f1062,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| spl4_30 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| spl4_30 ),
inference(subsumption_resolution,[],[f1008,f901]) ).
fof(f901,plain,
( identity != inverse(identity)
| ~ spl4_4
| ~ spl4_9
| spl4_30 ),
inference(backward_demodulation,[],[f844,f878]) ).
fof(f844,plain,
( sk_c11 != inverse(identity)
| spl4_30 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f1008,plain,
( identity = inverse(identity)
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(forward_demodulation,[],[f882,f1004]) ).
fof(f882,plain,
( identity = inverse(sk_c1)
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(backward_demodulation,[],[f86,f878]) ).
fof(f1058,plain,
( spl4_25
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f1057,f107,f102,f84,f79,f66,f732]) ).
fof(f1057,plain,
( identity = sk_c8
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10 ),
inference(forward_demodulation,[],[f893,f1031]) ).
fof(f1031,plain,
( identity = multiply(sk_c8,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_10 ),
inference(backward_demodulation,[],[f884,f1030]) ).
fof(f884,plain,
( identity = multiply(sk_c8,sk_c10)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_10 ),
inference(backward_demodulation,[],[f109,f878]) ).
fof(f893,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl4_4
| ~ spl4_9 ),
inference(backward_demodulation,[],[f785,f878]) ).
fof(f915,plain,
( ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_14
| ~ spl4_19
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| ~ spl4_14
| ~ spl4_19
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f913,f840]) ).
fof(f840,plain,
( sk_c10 != sk_c9
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f837,f115]) ).
fof(f115,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl4_11
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f837,plain,
( sk_c11 != inverse(sk_c3)
| sk_c10 != sk_c9
| ~ spl4_19
| ~ spl4_23 ),
inference(superposition,[],[f198,f151]) ).
fof(f151,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl4_19
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f198,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl4_23
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f913,plain,
( sk_c10 = sk_c9
| ~ spl4_4
| ~ spl4_9
| ~ spl4_14 ),
inference(forward_demodulation,[],[f898,f243]) ).
fof(f243,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f222,f1]) ).
fof(f898,plain,
( sk_c9 = multiply(inverse(identity),sk_c10)
| ~ spl4_4
| ~ spl4_9
| ~ spl4_14 ),
inference(backward_demodulation,[],[f825,f878]) ).
fof(f810,plain,
( spl4_23
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f809,f156,f126,f93,f75,f197]) ).
fof(f156,plain,
( spl4_20
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f809,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c11) )
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_20 ),
inference(forward_demodulation,[],[f808,f742]) ).
fof(f742,plain,
( sk_c11 = sk_c10
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14 ),
inference(forward_demodulation,[],[f127,f551]) ).
fof(f551,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl4_3
| ~ spl4_7 ),
inference(forward_demodulation,[],[f549,f95]) ).
fof(f549,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c9)
| ~ spl4_3 ),
inference(superposition,[],[f222,f77]) ).
fof(f808,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c11) )
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_20 ),
inference(forward_demodulation,[],[f157,f742]) ).
fof(f157,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f796,plain,
( ~ spl4_3
| ~ spl4_7
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| ~ spl4_3
| ~ spl4_7
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f794,f95]) ).
fof(f794,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl4_3
| ~ spl4_23 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( sk_c9 != sk_c9
| sk_c11 != inverse(sk_c2)
| ~ spl4_3
| ~ spl4_23 ),
inference(superposition,[],[f198,f77]) ).
fof(f772,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f770,f746]) ).
fof(f746,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14 ),
inference(forward_demodulation,[],[f68,f742]) ).
fof(f770,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f766]) ).
fof(f766,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_14
| ~ spl4_21 ),
inference(superposition,[],[f749,f86]) ).
fof(f749,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| ~ spl4_3
| ~ spl4_7
| ~ spl4_14
| ~ spl4_21 ),
inference(forward_demodulation,[],[f161,f742]) ).
fof(f161,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl4_21
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f415,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f413,f1]) ).
fof(f413,plain,
( identity != multiply(identity,identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f412,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(superposition,[],[f411,f336]) ).
fof(f336,plain,
( identity = inverse(identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f322,f330]) ).
fof(f330,plain,
( identity = sk_c5
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f325,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c5,sk_c11)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f270,f292]) ).
fof(f292,plain,
( sk_c11 = sk_c7
| ~ spl4_6
| ~ spl4_8
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f263,f278]) ).
fof(f278,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f109,f276]) ).
fof(f276,plain,
( identity = sk_c10
| ~ spl4_11
| ~ spl4_19 ),
inference(forward_demodulation,[],[f249,f2]) ).
fof(f249,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl4_11
| ~ spl4_19 ),
inference(superposition,[],[f222,f234]) ).
fof(f234,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl4_11
| ~ spl4_19 ),
inference(superposition,[],[f225,f151]) ).
fof(f225,plain,
( ! [X8] : multiply(sk_c11,multiply(sk_c3,X8)) = X8
| ~ spl4_11 ),
inference(forward_demodulation,[],[f216,f1]) ).
fof(f216,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c11,multiply(sk_c3,X8))
| ~ spl4_11 ),
inference(superposition,[],[f3,f208]) ).
fof(f208,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl4_11 ),
inference(superposition,[],[f2,f115]) ).
fof(f263,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_demodulation,[],[f258,f99]) ).
fof(f99,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl4_8
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f258,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl4_6 ),
inference(superposition,[],[f222,f211]) ).
fof(f211,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl4_6 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( inverse(sk_c7) = sk_c6
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl4_6
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f270,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(backward_demodulation,[],[f211,f266]) ).
fof(f266,plain,
( sk_c5 = sk_c6
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_demodulation,[],[f256,f255]) ).
fof(f256,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl4_8 ),
inference(superposition,[],[f222,f212]) ).
fof(f212,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl4_8 ),
inference(superposition,[],[f2,f99]) ).
fof(f325,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f265,f315]) ).
fof(f315,plain,
( sk_c5 = sk_c8
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f275,f312]) ).
fof(f312,plain,
( ! [X7] : multiply(sk_c5,X7) = X7
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f299,f310]) ).
fof(f310,plain,
( ! [X13] : multiply(sk_c3,X13) = X13
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f306,f305]) ).
fof(f305,plain,
( ! [X11] : multiply(sk_c11,X11) = X11
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(forward_demodulation,[],[f304,f297]) ).
fof(f297,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f273,f292]) ).
fof(f273,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(backward_demodulation,[],[f231,f266]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl4_6 ),
inference(forward_demodulation,[],[f230,f1]) ).
fof(f230,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl4_6 ),
inference(superposition,[],[f3,f211]) ).
fof(f304,plain,
( ! [X11] : multiply(sk_c5,multiply(sk_c11,X11)) = multiply(sk_c11,X11)
| ~ spl4_4
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f219,f302]) ).
fof(f302,plain,
( ! [X12] : multiply(sk_c8,X12) = multiply(sk_c11,X12)
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f285,plain,
( ! [X12] : multiply(sk_c8,multiply(identity,X12)) = multiply(sk_c11,X12)
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f220,f276]) ).
fof(f220,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c10,X12)) = multiply(sk_c11,X12)
| ~ spl4_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f219,plain,
( ! [X11] : multiply(sk_c11,X11) = multiply(sk_c5,multiply(sk_c8,X11))
| ~ spl4_4 ),
inference(superposition,[],[f3,f81]) ).
fof(f306,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c3,X13)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f303,f305]) ).
fof(f303,plain,
( ! [X13] : multiply(sk_c11,multiply(sk_c11,X13)) = multiply(sk_c3,X13)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f300,f302]) ).
fof(f300,plain,
( ! [X13] : multiply(sk_c11,multiply(sk_c8,X13)) = multiply(sk_c3,X13)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f295,f299]) ).
fof(f295,plain,
( ! [X13] : multiply(sk_c5,X13) = multiply(sk_c11,multiply(sk_c8,X13))
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f272,f292]) ).
fof(f272,plain,
( ! [X13] : multiply(sk_c5,X13) = multiply(sk_c7,multiply(sk_c8,X13))
| ~ spl4_8
| ~ spl4_9
| ~ spl4_18 ),
inference(backward_demodulation,[],[f221,f266]) ).
fof(f221,plain,
( ! [X13] : multiply(sk_c7,multiply(sk_c8,X13)) = multiply(sk_c6,X13)
| ~ spl4_18 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl4_18
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f299,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(sk_c5,X7)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f248,f296]) ).
fof(f296,plain,
( sk_c5 = inverse(sk_c11)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f267,f292]) ).
fof(f267,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(backward_demodulation,[],[f90,f266]) ).
fof(f248,plain,
( ! [X7] : multiply(inverse(sk_c11),X7) = multiply(sk_c3,X7)
| ~ spl4_11 ),
inference(superposition,[],[f222,f225]) ).
fof(f275,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_18 ),
inference(backward_demodulation,[],[f264,f266]) ).
fof(f264,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl4_6
| ~ spl4_18 ),
inference(forward_demodulation,[],[f257,f90]) ).
fof(f257,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl4_18 ),
inference(superposition,[],[f222,f144]) ).
fof(f265,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl4_4
| ~ spl4_9 ),
inference(forward_demodulation,[],[f253,f104]) ).
fof(f253,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl4_4 ),
inference(superposition,[],[f222,f81]) ).
fof(f322,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f104,f315]) ).
fof(f411,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(forward_demodulation,[],[f410,f276]) ).
fof(f410,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(forward_demodulation,[],[f409,f337]) ).
fof(f337,plain,
( identity = sk_c11
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f316,f336]) ).
fof(f316,plain,
( sk_c11 = inverse(identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f115,f314]) ).
fof(f314,plain,
( identity = sk_c3
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f298,f312]) ).
fof(f298,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f247,f296]) ).
fof(f247,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl4_11 ),
inference(superposition,[],[f222,f208]) ).
fof(f409,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_21 ),
inference(forward_demodulation,[],[f161,f337]) ).
fof(f408,plain,
( ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f406,f1]) ).
fof(f406,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_18
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(superposition,[],[f404,f336]) ).
fof(f404,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(forward_demodulation,[],[f403,f276]) ).
fof(f403,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_22 ),
inference(forward_demodulation,[],[f402,f364]) ).
fof(f364,plain,
( identity = sk_c9
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_22 ),
inference(forward_demodulation,[],[f359,f1]) ).
fof(f359,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_22 ),
inference(backward_demodulation,[],[f281,f356]) ).
fof(f356,plain,
( identity = sk_c4
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19 ),
inference(forward_demodulation,[],[f289,f2]) ).
fof(f289,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19 ),
inference(backward_demodulation,[],[f250,f276]) ).
fof(f250,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl4_2 ),
inference(superposition,[],[f222,f209]) ).
fof(f209,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl4_2 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_2
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f281,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl4_11
| ~ spl4_19
| ~ spl4_22 ),
inference(backward_demodulation,[],[f180,f276]) ).
fof(f180,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl4_22
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f402,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| sk_c10 != inverse(X6) )
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20 ),
inference(forward_demodulation,[],[f157,f276]) ).
fof(f401,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f395,f336]) ).
fof(f395,plain,
( identity != inverse(identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(superposition,[],[f387,f1]) ).
fof(f387,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f386,f1]) ).
fof(f386,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f383,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity)
| identity != multiply(identity,identity) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(superposition,[],[f379,f336]) ).
fof(f379,plain,
( ! [X9,X7] :
( identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f378,f337]) ).
fof(f378,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f377,f276]) ).
fof(f377,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),sk_c10)
| identity != multiply(X7,inverse(X7)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_16
| ~ spl4_18
| ~ spl4_19 ),
inference(forward_demodulation,[],[f135,f337]) ).
fof(f368,plain,
( ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| spl4_14
| ~ spl4_18
| ~ spl4_19
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| spl4_14
| ~ spl4_18
| ~ spl4_19
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f366,f1]) ).
fof(f366,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| spl4_14
| ~ spl4_18
| ~ spl4_19
| ~ spl4_22 ),
inference(backward_demodulation,[],[f338,f364]) ).
fof(f338,plain,
( identity != multiply(identity,sk_c9)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| spl4_14
| ~ spl4_18
| ~ spl4_19 ),
inference(backward_demodulation,[],[f279,f337]) ).
fof(f279,plain,
( identity != multiply(sk_c11,sk_c9)
| ~ spl4_11
| spl4_14
| ~ spl4_19 ),
inference(backward_demodulation,[],[f128,f276]) ).
fof(f128,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl4_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f207,plain,
( spl4_19
| spl4_5 ),
inference(avatar_split_clause,[],[f14,f84,f149]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f206,plain,
( spl4_6
| spl4_3 ),
inference(avatar_split_clause,[],[f41,f75,f88]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f205,plain,
( spl4_18
| spl4_1 ),
inference(avatar_split_clause,[],[f13,f66,f142]) ).
fof(f13,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f204,plain,
( spl4_1
| spl4_6 ),
inference(avatar_split_clause,[],[f11,f88,f66]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f203,plain,
( spl4_1
| spl4_9 ),
inference(avatar_split_clause,[],[f9,f102,f66]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f202,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f8,f79,f66]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f201,plain,
( spl4_11
| spl4_14 ),
inference(avatar_split_clause,[],[f25,f126,f113]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f200,plain,
( spl4_22
| spl4_14 ),
inference(avatar_split_clause,[],[f26,f126,f178]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f199,plain,
( spl4_15
| spl4_23 ),
inference(avatar_split_clause,[],[f61,f197,f130]) ).
fof(f130,plain,
( spl4_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f61,plain,
! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sP2
| sk_c11 != inverse(X4) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f195,plain,
( spl4_14
| spl4_2 ),
inference(avatar_split_clause,[],[f27,f70,f126]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f194,plain,
( spl4_19
| spl4_1 ),
inference(avatar_split_clause,[],[f4,f66,f149]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f193,plain,
( spl4_22
| spl4_1 ),
inference(avatar_split_clause,[],[f6,f66,f178]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f192,plain,
( spl4_5
| spl4_8 ),
inference(avatar_split_clause,[],[f22,f97,f84]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f191,plain,
( spl4_9
| spl4_5 ),
inference(avatar_split_clause,[],[f19,f84,f102]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f190,plain,
( spl4_14
| spl4_19 ),
inference(avatar_split_clause,[],[f24,f149,f126]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f189,plain,
( spl4_7
| spl4_11 ),
inference(avatar_split_clause,[],[f45,f113,f93]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f188,plain,
( spl4_7
| spl4_22 ),
inference(avatar_split_clause,[],[f46,f178,f93]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f187,plain,
( spl4_7
| spl4_2 ),
inference(avatar_split_clause,[],[f47,f70,f93]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f186,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f17,f70,f84]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f185,plain,
( spl4_7
| spl4_4 ),
inference(avatar_split_clause,[],[f48,f79,f93]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f184,plain,
( spl4_18
| spl4_3 ),
inference(avatar_split_clause,[],[f43,f75,f142]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f183,plain,
( spl4_3
| spl4_22 ),
inference(avatar_split_clause,[],[f36,f178,f75]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f182,plain,
( spl4_5
| spl4_11 ),
inference(avatar_split_clause,[],[f15,f113,f84]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f181,plain,
( spl4_5
| spl4_22 ),
inference(avatar_split_clause,[],[f16,f178,f84]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f176,plain,
( spl4_9
| spl4_14 ),
inference(avatar_split_clause,[],[f29,f126,f102]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f175,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f10,f107,f66]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f174,plain,
( spl4_11
| spl4_1 ),
inference(avatar_split_clause,[],[f5,f66,f113]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f173,plain,
( spl4_8
| spl4_1 ),
inference(avatar_split_clause,[],[f12,f66,f97]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f172,plain,
( spl4_5
| spl4_10 ),
inference(avatar_split_clause,[],[f20,f107,f84]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f171,plain,
( spl4_14
| spl4_10 ),
inference(avatar_split_clause,[],[f30,f107,f126]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f170,plain,
( spl4_7
| spl4_19 ),
inference(avatar_split_clause,[],[f44,f149,f93]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f169,plain,
( spl4_6
| spl4_14 ),
inference(avatar_split_clause,[],[f31,f126,f88]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f168,plain,
( spl4_7
| spl4_6 ),
inference(avatar_split_clause,[],[f51,f88,f93]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f167,plain,
( spl4_14
| spl4_4 ),
inference(avatar_split_clause,[],[f28,f79,f126]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f166,plain,
( spl4_3
| spl4_8 ),
inference(avatar_split_clause,[],[f42,f97,f75]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f165,plain,
( spl4_17
| spl4_21 ),
inference(avatar_split_clause,[],[f57,f160,f137]) ).
fof(f137,plain,
( spl4_17
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f57,plain,
! [X3] :
( sk_c11 != inverse(X3)
| sP0
| sk_c10 != multiply(X3,sk_c11) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f164,plain,
( spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f37,f75,f70]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f163,plain,
( spl4_18
| spl4_14 ),
inference(avatar_split_clause,[],[f33,f126,f142]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f162,plain,
( spl4_12
| spl4_21 ),
inference(avatar_split_clause,[],[f63,f160,f118]) ).
fof(f118,plain,
( spl4_12
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f63,plain,
! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sP3 ),
inference(cnf_transformation,[],[f63_D]) ).
fof(f63_D,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f158,plain,
( spl4_20
| spl4_13 ),
inference(avatar_split_clause,[],[f59,f122,f156]) ).
fof(f122,plain,
( spl4_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f59,plain,
! [X6] :
( sP1
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f154,plain,
( spl4_3
| spl4_9 ),
inference(avatar_split_clause,[],[f39,f102,f75]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f153,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f18,f84,f79]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f152,plain,
( spl4_3
| spl4_19 ),
inference(avatar_split_clause,[],[f34,f149,f75]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f147,plain,
( spl4_14
| spl4_8 ),
inference(avatar_split_clause,[],[f32,f97,f126]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f146,plain,
( spl4_18
| spl4_7 ),
inference(avatar_split_clause,[],[f53,f93,f142]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f145,plain,
( spl4_5
| spl4_18 ),
inference(avatar_split_clause,[],[f23,f142,f84]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f140,plain,
( ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| spl4_16
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f64,f137,f134,f130,f126,f122,f118]) ).
fof(f64,plain,
! [X9,X7] :
( ~ sP0
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP2
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X9) != multiply(X9,inverse(X7))
| ~ sP1
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| ~ sP3 ),
inference(general_splitting,[],[f62,f63_D]) ).
fof(f62,plain,
! [X9,X7,X5] :
( sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c10 != multiply(X5,sk_c11)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f60,plain,
! [X9,X7,X4,X5] :
( sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != inverse(X4)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c9 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c11)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f58,plain,
! [X6,X9,X7,X4,X5] :
( sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X4)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c9 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c11)
| ~ sP0 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X4)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c9 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c11) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(sk_c11,sk_c9)
| multiply(X9,inverse(X7)) != X10
| inverse(X9) != X10
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X4)
| inverse(X7) != inverse(X10)
| sk_c9 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c11) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(X7) != X8
| sk_c10 != multiply(sk_c11,sk_c9)
| multiply(X9,X8) != X10
| inverse(X9) != X10
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X4)
| inverse(X10) != X8
| sk_c9 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f116,plain,
( spl4_3
| spl4_11 ),
inference(avatar_split_clause,[],[f35,f113,f75]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f111,plain,
( spl4_10
| spl4_3 ),
inference(avatar_split_clause,[],[f40,f75,f107]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f110,plain,
( spl4_7
| spl4_10 ),
inference(avatar_split_clause,[],[f50,f107,f93]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f105,plain,
( spl4_9
| spl4_7 ),
inference(avatar_split_clause,[],[f49,f93,f102]) ).
fof(f49,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f100,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f52,f97,f93]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f91,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f21,f88,f84]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f82,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f38,f79,f75]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f7,f70,f66]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP269-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:25:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (24277)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.50 % (24272)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)
% 0.21/0.51 % (24296)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)
% 0.21/0.51 % (24271)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)
% 0.21/0.51 % (24273)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (24274)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)
% 0.21/0.51 % (24277)Instruction limit reached!
% 0.21/0.51 % (24277)------------------------------
% 0.21/0.51 % (24277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (24277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (24277)Termination reason: Unknown
% 0.21/0.51 % (24277)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (24277)Memory used [KB]: 5500
% 0.21/0.51 % (24277)Time elapsed: 0.003 s
% 0.21/0.51 % (24277)Instructions burned: 3 (million)
% 0.21/0.51 % (24277)------------------------------
% 0.21/0.51 % (24277)------------------------------
% 0.21/0.51 % (24285)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)
% 1.25/0.52 % (24280)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)
% 1.25/0.52 % (24279)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.52 % (24291)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.25/0.52 % (24269)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)
% 1.25/0.52 % (24292)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)
% 1.25/0.52 % (24297)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)
% 1.25/0.52 % (24282)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.52 % (24278)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)
% 1.25/0.53 % (24293)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)
% 1.25/0.53 % (24295)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.25/0.53 % (24286)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)
% 1.25/0.53 % (24294)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.25/0.53 % (24287)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.25/0.53 % (24276)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.25/0.53 % (24281)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.25/0.53 % (24275)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)
% 1.25/0.53 TRYING [1]
% 1.25/0.53 % (24276)Instruction limit reached!
% 1.25/0.53 % (24276)------------------------------
% 1.25/0.53 % (24276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 TRYING [1]
% 1.39/0.53 % (24289)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)
% 1.39/0.53 % (24270)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)
% 1.39/0.53 TRYING [2]
% 1.39/0.54 % (24299)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)
% 1.39/0.54 % (24276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (24276)Termination reason: Unknown
% 1.39/0.54 % (24276)Termination phase: Saturation
% 1.39/0.54
% 1.39/0.54 % (24276)Memory used [KB]: 5628
% 1.39/0.54 % (24276)Time elapsed: 0.092 s
% 1.39/0.54 % (24276)Instructions burned: 8 (million)
% 1.39/0.54 % (24276)------------------------------
% 1.39/0.54 % (24276)------------------------------
% 1.39/0.54 % (24298)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.54 TRYING [3]
% 1.39/0.54 % (24288)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54 % (24290)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)
% 1.39/0.54 % (24283)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)
% 1.39/0.55 TRYING [2]
% 1.39/0.55 TRYING [1]
% 1.39/0.55 TRYING [2]
% 1.39/0.55 TRYING [3]
% 1.39/0.56 % (24271)Instruction limit reached!
% 1.39/0.56 % (24271)------------------------------
% 1.39/0.56 % (24271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (24271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (24271)Termination reason: Unknown
% 1.39/0.56 % (24271)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (24271)Memory used [KB]: 1279
% 1.39/0.56 % (24271)Time elapsed: 0.150 s
% 1.39/0.56 % (24271)Instructions burned: 39 (million)
% 1.39/0.56 % (24271)------------------------------
% 1.39/0.56 % (24271)------------------------------
% 1.39/0.56 TRYING [3]
% 1.39/0.57 TRYING [4]
% 1.39/0.58 TRYING [4]
% 1.39/0.58 TRYING [4]
% 1.39/0.59 % (24287)Instruction limit reached!
% 1.39/0.59 % (24287)------------------------------
% 1.39/0.59 % (24287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.59 % (24287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.59 % (24287)Termination reason: Unknown
% 1.39/0.59 % (24287)Termination phase: Finite model building SAT solving
% 1.39/0.59
% 1.39/0.59 % (24287)Memory used [KB]: 7164
% 1.39/0.59 % (24287)Time elapsed: 0.166 s
% 1.39/0.59 % (24287)Instructions burned: 59 (million)
% 1.39/0.59 % (24287)------------------------------
% 1.39/0.59 % (24287)------------------------------
% 1.39/0.59 % (24272)Instruction limit reached!
% 1.39/0.59 % (24272)------------------------------
% 1.39/0.59 % (24272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.59 % (24272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.59 % (24272)Termination reason: Unknown
% 1.39/0.59 % (24272)Termination phase: Saturation
% 1.39/0.59
% 1.39/0.59 % (24272)Memory used [KB]: 6524
% 1.39/0.59 % (24272)Time elapsed: 0.191 s
% 1.39/0.59 % (24272)Instructions burned: 51 (million)
% 1.39/0.59 % (24272)------------------------------
% 1.39/0.59 % (24272)------------------------------
% 1.39/0.59 % (24291)First to succeed.
% 1.39/0.59 % (24278)Instruction limit reached!
% 1.39/0.59 % (24278)------------------------------
% 1.39/0.59 % (24278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.59 % (24278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.59 % (24278)Termination reason: Unknown
% 1.39/0.59 % (24278)Termination phase: Saturation
% 1.39/0.59
% 1.39/0.59 % (24278)Memory used [KB]: 1407
% 1.39/0.59 % (24278)Time elapsed: 0.195 s
% 1.39/0.59 % (24278)Instructions burned: 51 (million)
% 1.39/0.59 % (24278)------------------------------
% 1.39/0.59 % (24278)------------------------------
% 1.39/0.60 % (24273)Instruction limit reached!
% 1.39/0.60 % (24273)------------------------------
% 1.39/0.60 % (24273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60 % (24273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60 % (24273)Termination reason: Unknown
% 1.39/0.60 % (24273)Termination phase: Saturation
% 1.39/0.60
% 1.39/0.60 % (24273)Memory used [KB]: 6524
% 1.39/0.60 % (24273)Time elapsed: 0.193 s
% 1.39/0.60 % (24273)Instructions burned: 52 (million)
% 1.39/0.60 % (24273)------------------------------
% 1.39/0.60 % (24273)------------------------------
% 1.39/0.60 % (24275)Instruction limit reached!
% 1.39/0.60 % (24275)------------------------------
% 1.39/0.60 % (24275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60 % (24275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60 % (24275)Termination reason: Unknown
% 1.39/0.60 % (24275)Termination phase: Finite model building constraint generation
% 1.39/0.60
% 1.39/0.60 % (24275)Memory used [KB]: 6908
% 1.39/0.60 % (24275)Time elapsed: 0.161 s
% 1.39/0.60 % (24275)Instructions burned: 52 (million)
% 1.39/0.60 % (24275)------------------------------
% 1.39/0.60 % (24275)------------------------------
% 1.39/0.60 % (24279)Instruction limit reached!
% 1.39/0.60 % (24279)------------------------------
% 1.39/0.60 % (24279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60 % (24279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60 % (24279)Termination reason: Unknown
% 1.39/0.60 % (24279)Termination phase: Saturation
% 1.39/0.60
% 1.39/0.60 % (24279)Memory used [KB]: 6140
% 1.39/0.60 % (24279)Time elapsed: 0.187 s
% 1.39/0.60 % (24279)Instructions burned: 51 (million)
% 1.39/0.60 % (24279)------------------------------
% 1.39/0.60 % (24279)------------------------------
% 1.39/0.60 % (24270)Instruction limit reached!
% 1.39/0.60 % (24270)------------------------------
% 1.39/0.60 % (24270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60 % (24270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60 % (24270)Termination reason: Unknown
% 1.39/0.60 % (24270)Termination phase: Saturation
% 1.39/0.60
% 1.39/0.60 % (24270)Memory used [KB]: 6396
% 1.39/0.60 % (24270)Time elapsed: 0.167 s
% 1.39/0.60 % (24270)Instructions burned: 51 (million)
% 1.39/0.60 % (24270)------------------------------
% 1.39/0.60 % (24270)------------------------------
% 1.39/0.60 % (24274)Instruction limit reached!
% 1.39/0.60 % (24274)------------------------------
% 1.39/0.60 % (24274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60 % (24274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60 % (24274)Termination reason: Unknown
% 1.39/0.60 % (24274)Termination phase: Saturation
% 1.39/0.60
% 1.39/0.60 % (24274)Memory used [KB]: 6012
% 1.39/0.60 % (24274)Time elapsed: 0.199 s
% 1.39/0.60 % (24274)Instructions burned: 48 (million)
% 1.39/0.60 % (24274)------------------------------
% 1.39/0.60 % (24274)------------------------------
% 1.39/0.62 % (24299)Also succeeded, but the first one will report.
% 1.39/0.62 % (24291)Refutation found. Thanks to Tanya!
% 1.39/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.39/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.62 % (24291)------------------------------
% 1.39/0.62 % (24291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.62 % (24291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.62 % (24291)Termination reason: Refutation
% 1.39/0.62
% 1.39/0.62 % (24291)Memory used [KB]: 6140
% 1.39/0.62 % (24291)Time elapsed: 0.198 s
% 1.39/0.62 % (24291)Instructions burned: 49 (million)
% 1.39/0.62 % (24291)------------------------------
% 1.39/0.62 % (24291)------------------------------
% 1.39/0.62 % (24266)Success in time 0.257 s
%------------------------------------------------------------------------------