TSTP Solution File: GRP357-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP357-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:30 EDT 2022
% Result : Unsatisfiable 1.64s 0.62s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 61
% Syntax : Number of formulae : 405 ( 28 unt; 0 def)
% Number of atoms : 1756 ( 466 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2646 (1295 ~;1334 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1443,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f92,f101,f110,f115,f120,f125,f127,f128,f129,f130,f131,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f160,f161,f162,f263,f345,f399,f425,f716,f719,f808,f873,f995,f1030,f1079,f1219,f1229,f1300,f1336,f1400,f1428,f1440]) ).
fof(f1440,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(subsumption_resolution,[],[f1438,f1081]) ).
fof(f1081,plain,
( identity = sk_c8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f124,f402]) ).
fof(f402,plain,
( identity = sF2
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl11_15
<=> identity = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f124,plain,
( sk_c8 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl11_10
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1438,plain,
( identity != sk_c8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(forward_demodulation,[],[f1437,f1407]) ).
fof(f1407,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1172,f1402]) ).
fof(f1402,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1401,f1398]) ).
fof(f1398,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1387,f1397]) ).
fof(f1397,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1104,f1153]) ).
fof(f1153,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1152,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1152,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f439,f1081]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl11_4 ),
inference(backward_demodulation,[],[f191,f96]) ).
fof(f96,plain,
( sk_c6 = sF5
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl11_4
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f191,plain,
! [X0] : multiply(sF5,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f190,f1]) ).
fof(f190,plain,
! [X0] : multiply(identity,X0) = multiply(sF5,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
identity = multiply(sF5,sk_c8),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
inverse(sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f1104,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = X8
| ~ spl11_1
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1091,f1]) ).
fof(f1091,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = multiply(identity,X8)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f438,f1081]) ).
fof(f438,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c7,multiply(sk_c6,X8))
| ~ spl11_1 ),
inference(forward_demodulation,[],[f176,f82]) ).
fof(f82,plain,
( sk_c8 = sF0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_1
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f176,plain,
! [X8] : multiply(sk_c7,multiply(sk_c6,X8)) = multiply(sF0,X8),
inference(superposition,[],[f3,f37]) ).
fof(f37,plain,
multiply(sk_c7,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f1387,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
| ~ spl11_6
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1386,f105]) ).
fof(f105,plain,
( sk_c2 = sF7
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl11_6
<=> sk_c2 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f1386,plain,
( ! [X0] : multiply(sF7,multiply(sk_c7,X0)) = X0
| ~ spl11_6
| ~ spl11_15 ),
inference(forward_demodulation,[],[f983,f1383]) ).
fof(f1383,plain,
( sk_c7 = sk_c1
| ~ spl11_6
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1157,f1121]) ).
fof(f1121,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl11_15 ),
inference(forward_demodulation,[],[f297,f402]) ).
fof(f297,plain,
sk_c7 = multiply(inverse(sk_c2),sF2),
inference(superposition,[],[f184,f40]) ).
fof(f40,plain,
multiply(sk_c2,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f184,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f175,f1]) ).
fof(f175,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f1157,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f299,f105]) ).
fof(f299,plain,
sk_c1 = multiply(inverse(sF7),identity),
inference(superposition,[],[f184,f172]) ).
fof(f172,plain,
identity = multiply(sF7,sk_c1),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f983,plain,
! [X0] : multiply(sF7,multiply(sk_c1,X0)) = X0,
inference(superposition,[],[f184,f48]) ).
fof(f1401,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1122,f1390]) ).
fof(f1390,plain,
( sk_c2 = inverse(sk_c7)
| ~ spl11_6
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1156,f1383]) ).
fof(f1156,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f48,f105]) ).
fof(f1122,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f742,f1081]) ).
fof(f742,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl11_1 ),
inference(superposition,[],[f184,f437]) ).
fof(f437,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl11_1 ),
inference(forward_demodulation,[],[f37,f82]) ).
fof(f1172,plain,
( sk_c6 = inverse(identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f441,f1081]) ).
fof(f441,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f44,f96]) ).
fof(f1437,plain,
( sk_c8 != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(forward_demodulation,[],[f774,f1402]) ).
fof(f774,plain,
( sk_c8 != inverse(sk_c6)
| spl11_21 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl11_21
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f1428,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| spl11_11
| ~ spl11_15
| ~ spl11_25 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| spl11_11
| ~ spl11_15
| ~ spl11_25 ),
inference(subsumption_resolution,[],[f1426,f1405]) ).
fof(f1405,plain,
( identity != sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1385,f1402]) ).
fof(f1385,plain,
( sk_c7 != sk_c6
| ~ spl11_10
| spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f134,f1350]) ).
fof(f1350,plain,
( sk_c7 = sF8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1349,f1]) ).
fof(f1349,plain,
( sF8 = multiply(identity,sk_c7)
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f49,f1081]) ).
fof(f49,plain,
multiply(sk_c8,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f134,plain,
( sk_c6 != sF8
| spl11_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl11_11
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1426,plain,
( identity = sk_c7
| ~ spl11_15
| ~ spl11_25 ),
inference(forward_demodulation,[],[f1421,f2]) ).
fof(f1421,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl11_15
| ~ spl11_25 ),
inference(backward_demodulation,[],[f1121,f1067]) ).
fof(f1067,plain,
( identity = sk_c2
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1066,plain,
( spl11_25
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f1400,plain,
( spl11_25
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f1399,f401,f122,f103,f94,f89,f80,f1066]) ).
fof(f89,plain,
( spl11_3
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f1399,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1360,f1398]) ).
fof(f1360,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1094,f105]) ).
fof(f1094,plain,
( sk_c2 = multiply(sF7,identity)
| ~ spl11_3
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1080,f1081]) ).
fof(f1080,plain,
( sk_c2 = multiply(sF7,sk_c8)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f739,f48]) ).
fof(f739,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_3 ),
inference(superposition,[],[f184,f430]) ).
fof(f430,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f46,f91]) ).
fof(f91,plain,
( sk_c8 = sF6
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f46,plain,
multiply(sk_c1,sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f1336,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f1335]) ).
fof(f1335,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(subsumption_resolution,[],[f1334,f1320]) ).
fof(f1320,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1319,f1081]) ).
fof(f1319,plain,
( sk_c8 = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f165,f1308]) ).
fof(f1308,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f750,f1092]) ).
fof(f1092,plain,
( identity = multiply(sk_c6,identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f440,f1081]) ).
fof(f440,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f169,f96]) ).
fof(f750,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_demodulation,[],[f747,f441]) ).
fof(f747,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_2 ),
inference(superposition,[],[f184,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl11_2 ),
inference(superposition,[],[f2,f165]) ).
fof(f165,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f41,f86]) ).
fof(f86,plain,
( sk_c8 = sF3
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl11_2
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f41,plain,
inverse(sk_c3) = sF3,
introduced(function_definition,[]) ).
fof(f1334,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(forward_demodulation,[],[f1279,f1322]) ).
fof(f1322,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1172,f1320]) ).
fof(f1279,plain,
( identity != inverse(sk_c6)
| ~ spl11_10
| ~ spl11_15
| spl11_21 ),
inference(forward_demodulation,[],[f774,f1081]) ).
fof(f1300,plain,
( ~ spl11_2
| ~ spl11_4
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1298,f1282]) ).
fof(f1282,plain,
( identity != sk_c7
| ~ spl11_2
| ~ spl11_4
| spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f118,f1169]) ).
fof(f1169,plain,
( identity = sF10
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1168,f1]) ).
fof(f1168,plain,
( sF10 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1167,f1102]) ).
fof(f1102,plain,
( identity = sk_c3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1098,f1101]) ).
fof(f1101,plain,
( identity = multiply(sk_c7,identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1092,f1097]) ).
fof(f1097,plain,
( sk_c7 = sk_c6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1085,f1]) ).
fof(f1085,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f163,f1081]) ).
fof(f163,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f49,f135]) ).
fof(f135,plain,
( sk_c6 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1098,plain,
( sk_c3 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f750,f1097]) ).
fof(f1167,plain,
( sF10 = multiply(sk_c3,identity)
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f59,f1081]) ).
fof(f59,plain,
multiply(sk_c3,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f118,plain,
( sk_c7 != sF10
| spl11_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl11_9
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f1298,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1297,f1081]) ).
fof(f1297,plain,
( sk_c7 = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1178,f1284]) ).
fof(f1284,plain,
( sk_c7 = inverse(identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f1172,f1097]) ).
fof(f1178,plain,
( sk_c8 = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f165,f1102]) ).
fof(f1229,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1227,f1]) ).
fof(f1227,plain,
( identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1225,f1134]) ).
fof(f1134,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(backward_demodulation,[],[f1115,f1125]) ).
fof(f1125,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(backward_demodulation,[],[f1097,f1124]) ).
fof(f1124,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1123,f1]) ).
fof(f1123,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1122,f1115]) ).
fof(f1115,plain,
( identity = inverse(sk_c7)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1114,f1081]) ).
fof(f1114,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f773,f1097]) ).
fof(f773,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f1225,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1224]) ).
fof(f1224,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(superposition,[],[f1222,f2]) ).
fof(f1222,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1221,f1081]) ).
fof(f1221,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),identity) )
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1220,f1125]) ).
fof(f1220,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) )
| ~ spl11_10
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f159,f1081]) ).
fof(f159,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl11_14
<=> ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1219,plain,
( ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1218,plain,
( $false
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1217,f1134]) ).
fof(f1217,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1212,f1134]) ).
fof(f1212,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1210]) ).
fof(f1210,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(superposition,[],[f1128,f2]) ).
fof(f1128,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_15
| ~ spl11_21 ),
inference(backward_demodulation,[],[f1100,f1125]) ).
fof(f1100,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1084,f1081]) ).
fof(f1084,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(backward_demodulation,[],[f153,f1081]) ).
fof(f153,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl11_12
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1079,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1077,f1]) ).
fof(f1077,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1059,f1033]) ).
fof(f1033,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f844,f999]) ).
fof(f999,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f845,f997]) ).
fof(f997,plain,
( identity = sF4
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f114,f852]) ).
fof(f852,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f452,f843]) ).
fof(f843,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f440,f823]) ).
fof(f823,plain,
( sk_c6 = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f820,f163]) ).
fof(f820,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f458,f818]) ).
fof(f818,plain,
( sk_c7 = sk_c5
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f788,f119]) ).
fof(f119,plain,
( sk_c7 = sF10
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f788,plain,
( sk_c5 = sF10
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7 ),
inference(backward_demodulation,[],[f59,f786]) ).
fof(f786,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7 ),
inference(backward_demodulation,[],[f167,f781]) ).
fof(f781,plain,
( sk_c3 = sk_c4
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7 ),
inference(forward_demodulation,[],[f780,f750]) ).
fof(f780,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl11_4
| ~ spl11_7 ),
inference(forward_demodulation,[],[f777,f441]) ).
fof(f777,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_7 ),
inference(superposition,[],[f184,f171]) ).
fof(f171,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_7 ),
inference(superposition,[],[f2,f168]) ).
fof(f168,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f38,f109]) ).
fof(f109,plain,
( sk_c8 = sF1
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl11_7
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f38,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f167,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f56,f100]) ).
fof(f100,plain,
( sk_c5 = sF9
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_5
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f56,plain,
multiply(sk_c4,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f458,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl11_5
| ~ spl11_7 ),
inference(forward_demodulation,[],[f456,f168]) ).
fof(f456,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl11_5 ),
inference(superposition,[],[f184,f167]) ).
fof(f452,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl11_4
| ~ spl11_11 ),
inference(forward_demodulation,[],[f450,f441]) ).
fof(f450,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl11_11 ),
inference(superposition,[],[f184,f163]) ).
fof(f114,plain,
( sk_c7 = sF4
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl11_8
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f845,plain,
( sk_c6 = sF4
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f720,f823]) ).
fof(f720,plain,
( sk_c8 = sF4
| ~ spl11_5
| ~ spl11_7 ),
inference(backward_demodulation,[],[f43,f458]) ).
fof(f43,plain,
multiply(sk_c8,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f844,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f441,f823]) ).
fof(f1059,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1058]) ).
fof(f1058,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(superposition,[],[f1025,f2]) ).
fof(f1025,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1020,f1018]) ).
fof(f1018,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f941,f999]) ).
fof(f941,plain,
( sk_c6 = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f773,f844]) ).
fof(f1020,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| identity != multiply(inverse(X3),identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(backward_demodulation,[],[f929,f1018]) ).
fof(f929,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),identity)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f159,f852]) ).
fof(f1030,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| spl11_15 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| spl11_15 ),
inference(subsumption_resolution,[],[f1028,f403]) ).
fof(f403,plain,
( identity != sF2
| spl11_15 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1028,plain,
( identity = sF2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f828,f999]) ).
fof(f828,plain,
( sk_c6 = sF2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f124,f823]) ).
fof(f995,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f989,f1]) ).
fof(f989,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(duplicate_literal_removal,[],[f986]) ).
fof(f986,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(superposition,[],[f964,f947]) ).
fof(f947,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f844,f942]) ).
fof(f942,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f828,f402]) ).
fof(f964,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f963,f952]) ).
fof(f952,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(backward_demodulation,[],[f941,f942]) ).
fof(f963,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f929,f952]) ).
fof(f873,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f872,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_21 ),
inference(subsumption_resolution,[],[f848,f844]) ).
fof(f848,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_21 ),
inference(backward_demodulation,[],[f774,f823]) ).
fof(f808,plain,
( ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| spl11_15 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| spl11_15 ),
inference(subsumption_resolution,[],[f806,f722]) ).
fof(f722,plain,
( identity != sk_c8
| ~ spl11_10
| spl11_15 ),
inference(superposition,[],[f403,f124]) ).
fof(f806,plain,
( identity = sk_c8
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f804,f2]) ).
fof(f804,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_3
| ~ spl11_6 ),
inference(superposition,[],[f184,f432]) ).
fof(f432,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f428,f105]) ).
fof(f428,plain,
( sk_c2 = multiply(sF7,sk_c8)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f373,f91]) ).
fof(f373,plain,
sk_c2 = multiply(sF7,sF6),
inference(forward_demodulation,[],[f296,f48]) ).
fof(f296,plain,
sk_c2 = multiply(inverse(sk_c1),sF6),
inference(superposition,[],[f184,f46]) ).
fof(f719,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f717,f702]) ).
fof(f702,plain,
( identity = multiply(identity,sF10)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f700,f680]) ).
fof(f680,plain,
( identity = inverse(sk_c3)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f165,f606]) ).
fof(f606,plain,
( identity = sk_c8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f124,f402]) ).
fof(f700,plain,
( identity = multiply(inverse(sk_c3),sF10)
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f184,f618]) ).
fof(f618,plain,
( sF10 = multiply(sk_c3,identity)
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f59,f606]) ).
fof(f717,plain,
( identity != multiply(identity,sF10)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f707,f680]) ).
fof(f707,plain,
( identity != inverse(sk_c3)
| identity != multiply(identity,sF10)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f667,f618]) ).
fof(f667,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f616,f665]) ).
fof(f665,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f661,f2]) ).
fof(f661,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f621,f658]) ).
fof(f658,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f657,f606]) ).
fof(f657,plain,
( sk_c8 = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f432,f631]) ).
fof(f631,plain,
( ! [X15] : multiply(sk_c2,X15) = X15
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f617,f630]) ).
fof(f630,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f629,f1]) ).
fof(f629,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(identity,X8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f628,f606]) ).
fof(f628,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c7,X8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f438,f620]) ).
fof(f620,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f619,f1]) ).
fof(f619,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f439,f606]) ).
fof(f617,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c7,X15)) = X15
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f613,f1]) ).
fof(f613,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c7,X15)) = multiply(identity,X15)
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f427,f606]) ).
fof(f427,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c7,X15)) = multiply(sk_c8,X15)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f183,f124]) ).
fof(f183,plain,
! [X15] : multiply(sk_c2,multiply(sk_c7,X15)) = multiply(sF2,X15),
inference(superposition,[],[f3,f40]) ).
fof(f621,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f431,f606]) ).
fof(f431,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f297,f124]) ).
fof(f616,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f609,f606]) ).
fof(f609,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(backward_demodulation,[],[f156,f606]) ).
fof(f156,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl11_13
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f716,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f714,f673]) ).
fof(f673,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(backward_demodulation,[],[f651,f665]) ).
fof(f651,plain,
( sk_c7 = inverse(identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f650,f642]) ).
fof(f642,plain,
( sk_c7 = sk_c6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f641,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f163,f606]) ).
fof(f650,plain,
( sk_c6 = inverse(identity)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f441,f606]) ).
fof(f714,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_15 ),
inference(forward_demodulation,[],[f713,f673]) ).
fof(f713,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f706,f1]) ).
fof(f706,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(superposition,[],[f667,f2]) ).
fof(f425,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f423,f340]) ).
fof(f340,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f317,f338]) ).
fof(f338,plain,
( identity = sk_c4
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f337,f2]) ).
fof(f337,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f293,f301]) ).
fof(f301,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f290,f2]) ).
fof(f290,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f184,f245]) ).
fof(f245,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f202,f236]) ).
fof(f236,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f234,f205]) ).
fof(f205,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f166,f197]) ).
fof(f197,plain,
( sk_c6 = sk_c8
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f194,f163]) ).
fof(f194,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f187,f164]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f59,f119]) ).
fof(f187,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c3,X11)) = X11
| ~ spl11_2 ),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f179,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c3,X11))
| ~ spl11_2 ),
inference(superposition,[],[f3,f170]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f43,f114]) ).
fof(f234,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f216,f206]) ).
fof(f206,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f167,f197]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f189,f197]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl11_7 ),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f188,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl11_7 ),
inference(superposition,[],[f3,f171]) ).
fof(f202,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f163,f197]) ).
fof(f293,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f184,f253]) ).
fof(f253,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f210,f236]) ).
fof(f210,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f171,f197]) ).
fof(f317,plain,
( identity = inverse(sk_c4)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f250,f301]) ).
fof(f250,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f207,f236]) ).
fof(f207,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f168,f197]) ).
fof(f423,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f422,f340]) ).
fof(f422,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f414,f1]) ).
fof(f414,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f411,f2]) ).
fof(f411,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f410,f301]) ).
fof(f410,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f409,f308]) ).
fof(f308,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f240,f301]) ).
fof(f240,plain,
( sk_c7 = sk_c8
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f197,f236]) ).
fof(f409,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f156,f308]) ).
fof(f399,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f393,f340]) ).
fof(f393,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f389,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f382,f1]) ).
fof(f382,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f381,f301]) ).
fof(f381,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f380,f308]) ).
fof(f380,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f153,f308]) ).
fof(f345,plain,
( ~ spl11_2
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl11_2
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f343,f329]) ).
fof(f329,plain,
( identity != sF5
| ~ spl11_2
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f267,f301]) ).
fof(f267,plain,
( sk_c7 != sF5
| ~ spl11_2
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f95,f236]) ).
fof(f95,plain,
( sk_c6 != sF5
| spl11_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f343,plain,
( identity = sF5
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f309,f340]) ).
fof(f309,plain,
( sF5 = inverse(identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f241,f301]) ).
fof(f241,plain,
( sF5 = inverse(sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f198,f236]) ).
fof(f198,plain,
( sF5 = inverse(sk_c6)
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f44,f197]) ).
fof(f263,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f261,f242]) ).
fof(f242,plain,
( sk_c7 != sF0
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f199,f236]) ).
fof(f199,plain,
( sk_c6 != sF0
| spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f81,f197]) ).
fof(f81,plain,
( sk_c8 != sF0
| spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f261,plain,
( sk_c7 = sF0
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f237,f245]) ).
fof(f237,plain,
( multiply(sk_c7,sk_c7) = sF0
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f37,f236]) ).
fof(f162,plain,
( spl11_6
| spl11_11 ),
inference(avatar_split_clause,[],[f50,f133,f103]) ).
fof(f50,plain,
( sk_c6 = sF8
| sk_c2 = sF7 ),
inference(definition_folding,[],[f22,f49,f48]) ).
fof(f22,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f161,plain,
( spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f71,f98,f89]) ).
fof(f71,plain,
( sk_c5 = sF9
| sk_c8 = sF6 ),
inference(definition_folding,[],[f20,f56,f46]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f160,plain,
( spl11_12
| ~ spl11_4
| spl11_13
| ~ spl11_1
| spl11_14
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f73,f133,f158,f80,f155,f94,f152]) ).
fof(f73,plain,
! [X3,X7,X5] :
( sk_c6 != sF8
| sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != sF0
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c6 != sF5
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) ),
inference(definition_folding,[],[f36,f37,f49,f44]) ).
fof(f36,plain,
! [X3,X7,X5] :
( sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c6 != multiply(sk_c8,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(X7,sk_c8) != X6
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,X6)
| sk_c6 != multiply(sk_c8,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f150,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f55,f103,f112]) ).
fof(f55,plain,
( sk_c2 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f25,f48,f43]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f149,plain,
( spl11_7
| spl11_4 ),
inference(avatar_split_clause,[],[f69,f94,f107]) ).
fof(f69,plain,
( sk_c6 = sF5
| sk_c8 = sF1 ),
inference(definition_folding,[],[f15,f38,f44]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f148,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f66,f89,f117]) ).
fof(f66,plain,
( sk_c8 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f17,f59,f46]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f147,plain,
( spl11_4
| spl11_11 ),
inference(avatar_split_clause,[],[f67,f133,f94]) ).
fof(f67,plain,
( sk_c6 = sF8
| sk_c6 = sF5 ),
inference(definition_folding,[],[f10,f44,f49]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f146,plain,
( spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f70,f89,f107]) ).
fof(f70,plain,
( sk_c8 = sF6
| sk_c8 = sF1 ),
inference(definition_folding,[],[f21,f38,f46]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f145,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f65,f122,f133]) ).
fof(f65,plain,
( sk_c8 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f28,f40,f49]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f144,plain,
( spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f52,f89,f112]) ).
fof(f52,plain,
( sk_c8 = sF6
| sk_c7 = sF4 ),
inference(definition_folding,[],[f19,f46,f43]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f143,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f54,f103,f84]) ).
fof(f54,plain,
( sk_c2 = sF7
| sk_c8 = sF3 ),
inference(definition_folding,[],[f24,f48,f41]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f142,plain,
( spl11_4
| spl11_9 ),
inference(avatar_split_clause,[],[f60,f117,f94]) ).
fof(f60,plain,
( sk_c7 = sF10
| sk_c6 = sF5 ),
inference(definition_folding,[],[f11,f59,f44]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f141,plain,
( spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f61,f112,f80]) ).
fof(f61,plain,
( sk_c7 = sF4
| sk_c8 = sF0 ),
inference(definition_folding,[],[f7,f37,f43]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f140,plain,
( spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f39,f107,f80]) ).
fof(f39,plain,
( sk_c8 = sF1
| sk_c8 = sF0 ),
inference(definition_folding,[],[f9,f38,f37]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f139,plain,
( spl11_11
| spl11_1 ),
inference(avatar_split_clause,[],[f51,f80,f133]) ).
fof(f51,plain,
( sk_c8 = sF0
| sk_c6 = sF8 ),
inference(definition_folding,[],[f4,f49,f37]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f138,plain,
( spl11_10
| spl11_7 ),
inference(avatar_split_clause,[],[f58,f107,f122]) ).
fof(f58,plain,
( sk_c8 = sF1
| sk_c8 = sF2 ),
inference(definition_folding,[],[f33,f38,f40]) ).
fof(f33,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f137,plain,
( spl11_10
| spl11_8 ),
inference(avatar_split_clause,[],[f78,f112,f122]) ).
fof(f78,plain,
( sk_c7 = sF4
| sk_c8 = sF2 ),
inference(definition_folding,[],[f31,f40,f43]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f136,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f64,f133,f89]) ).
fof(f64,plain,
( sk_c6 = sF8
| sk_c8 = sF6 ),
inference(definition_folding,[],[f16,f46,f49]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f131,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f62,f122,f117]) ).
fof(f62,plain,
( sk_c8 = sF2
| sk_c7 = sF10 ),
inference(definition_folding,[],[f29,f59,f40]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f130,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f74,f98,f80]) ).
fof(f74,plain,
( sk_c5 = sF9
| sk_c8 = sF0 ),
inference(definition_folding,[],[f8,f56,f37]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f129,plain,
( spl11_10
| spl11_5 ),
inference(avatar_split_clause,[],[f68,f98,f122]) ).
fof(f68,plain,
( sk_c5 = sF9
| sk_c8 = sF2 ),
inference(definition_folding,[],[f32,f40,f56]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f128,plain,
( spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f72,f98,f103]) ).
fof(f72,plain,
( sk_c5 = sF9
| sk_c2 = sF7 ),
inference(definition_folding,[],[f26,f56,f48]) ).
fof(f26,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f127,plain,
( spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f53,f94,f84]) ).
fof(f53,plain,
( sk_c6 = sF5
| sk_c8 = sF3 ),
inference(definition_folding,[],[f12,f44,f41]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f125,plain,
( spl11_10
| spl11_2 ),
inference(avatar_split_clause,[],[f42,f84,f122]) ).
fof(f42,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f30,f41,f40]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f120,plain,
( spl11_6
| spl11_9 ),
inference(avatar_split_clause,[],[f63,f117,f103]) ).
fof(f63,plain,
( sk_c7 = sF10
| sk_c2 = sF7 ),
inference(definition_folding,[],[f23,f59,f48]) ).
fof(f23,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f115,plain,
( spl11_8
| spl11_4 ),
inference(avatar_split_clause,[],[f45,f94,f112]) ).
fof(f45,plain,
( sk_c6 = sF5
| sk_c7 = sF4 ),
inference(definition_folding,[],[f13,f44,f43]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f110,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f76,f107,f103]) ).
fof(f76,plain,
( sk_c8 = sF1
| sk_c2 = sF7 ),
inference(definition_folding,[],[f27,f48,f38]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f101,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f57,f98,f94]) ).
fof(f57,plain,
( sk_c5 = sF9
| sk_c6 = sF5 ),
inference(definition_folding,[],[f14,f44,f56]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f92,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f47,f84,f89]) ).
fof(f47,plain,
( sk_c8 = sF3
| sk_c8 = sF6 ),
inference(definition_folding,[],[f18,f41,f46]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f87,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f75,f84,f80]) ).
fof(f75,plain,
( sk_c8 = sF3
| sk_c8 = sF0 ),
inference(definition_folding,[],[f6,f37,f41]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP357-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:23:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (22115)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.48 % (22098)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48 % (22098)Instruction limit reached!
% 0.20/0.48 % (22098)------------------------------
% 0.20/0.48 % (22098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (22098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (22098)Termination reason: Unknown
% 0.20/0.48 % (22098)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (22098)Memory used [KB]: 5884
% 0.20/0.48 % (22098)Time elapsed: 0.003 s
% 0.20/0.48 % (22098)Instructions burned: 3 (million)
% 0.20/0.48 % (22098)------------------------------
% 0.20/0.48 % (22098)------------------------------
% 0.20/0.51 % (22113)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51 % (22091)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51 % (22103)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51 % (22093)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52 % (22105)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52 % (22090)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (22094)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (22092)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (22092)Instruction limit reached!
% 0.20/0.52 % (22092)------------------------------
% 0.20/0.52 % (22092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22092)Termination reason: Unknown
% 0.20/0.52 % (22092)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (22092)Memory used [KB]: 5884
% 0.20/0.52 % (22092)Time elapsed: 0.126 s
% 0.20/0.52 % (22092)Instructions burned: 5 (million)
% 0.20/0.52 % (22092)------------------------------
% 0.20/0.52 % (22092)------------------------------
% 0.20/0.52 % (22095)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (22094)Refutation not found, incomplete strategy% (22094)------------------------------
% 0.20/0.53 % (22094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (22094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22094)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (22094)Memory used [KB]: 5884
% 0.20/0.53 % (22094)Time elapsed: 0.132 s
% 0.20/0.53 % (22094)Instructions burned: 5 (million)
% 0.20/0.53 % (22094)------------------------------
% 0.20/0.53 % (22094)------------------------------
% 0.20/0.53 % (22117)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53 % (22096)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (22114)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (22112)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.53 % (22114)Refutation not found, incomplete strategy% (22114)------------------------------
% 0.20/0.53 % (22114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (22114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22114)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (22114)Memory used [KB]: 5884
% 0.20/0.53 % (22114)Time elapsed: 0.127 s
% 0.20/0.53 % (22114)Instructions burned: 2 (million)
% 0.20/0.53 % (22114)------------------------------
% 0.20/0.53 % (22114)------------------------------
% 1.45/0.53 % (22107)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.53 % (22109)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.45/0.53 % (22102)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.45/0.53 % (22107)Instruction limit reached!
% 1.45/0.53 % (22107)------------------------------
% 1.45/0.53 % (22107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (22107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (22107)Termination reason: Unknown
% 1.45/0.53 % (22107)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (22107)Memory used [KB]: 5884
% 1.45/0.53 % (22107)Time elapsed: 0.003 s
% 1.45/0.53 % (22107)Instructions burned: 3 (million)
% 1.45/0.53 % (22107)------------------------------
% 1.45/0.53 % (22107)------------------------------
% 1.45/0.53 % (22106)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.53 % (22119)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.45/0.53 % (22119)Refutation not found, incomplete strategy% (22119)------------------------------
% 1.45/0.53 % (22119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (22119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (22119)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (22119)Memory used [KB]: 5884
% 1.45/0.53 % (22119)Time elapsed: 0.140 s
% 1.45/0.53 % (22119)Instructions burned: 4 (million)
% 1.45/0.53 % (22119)------------------------------
% 1.45/0.53 % (22119)------------------------------
% 1.45/0.53 % (22118)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.45/0.53 % (22106)Instruction limit reached!
% 1.45/0.53 % (22106)------------------------------
% 1.45/0.53 % (22106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (22106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (22106)Termination reason: Unknown
% 1.45/0.53 % (22106)Termination phase: Finite model building constraint generation
% 1.45/0.53
% 1.45/0.53 % (22106)Memory used [KB]: 6012
% 1.45/0.53 % (22106)Time elapsed: 0.004 s
% 1.45/0.53 % (22106)Instructions burned: 7 (million)
% 1.45/0.53 % (22106)------------------------------
% 1.45/0.53 % (22106)------------------------------
% 1.45/0.53 % (22104)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.54 % (22103)Instruction limit reached!
% 1.45/0.54 % (22103)------------------------------
% 1.45/0.54 % (22103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (22103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (22103)Termination reason: Unknown
% 1.45/0.54 % (22103)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (22103)Memory used [KB]: 5884
% 1.45/0.54 % (22103)Time elapsed: 0.116 s
% 1.45/0.54 % (22103)Instructions burned: 5 (million)
% 1.45/0.54 % (22103)------------------------------
% 1.45/0.54 % (22103)------------------------------
% 1.45/0.54 % (22104)Instruction limit reached!
% 1.45/0.54 % (22104)------------------------------
% 1.45/0.54 % (22104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (22104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (22104)Termination reason: Unknown
% 1.45/0.54 % (22104)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (22104)Memory used [KB]: 5884
% 1.45/0.54 % (22104)Time elapsed: 0.002 s
% 1.45/0.54 % (22104)Instructions burned: 3 (million)
% 1.45/0.54 % (22104)------------------------------
% 1.45/0.54 % (22104)------------------------------
% 1.45/0.54 % (22111)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.54 % (22120)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (22097)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.54 % (22110)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.54 % (22111)Instruction limit reached!
% 1.45/0.54 % (22111)------------------------------
% 1.45/0.54 % (22111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (22108)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.45/0.54 % (22111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (22111)Termination reason: Unknown
% 1.45/0.54 % (22111)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (22111)Memory used [KB]: 1407
% 1.45/0.54 % (22111)Time elapsed: 0.144 s
% 1.45/0.54 % (22111)Instructions burned: 6 (million)
% 1.45/0.54 % (22111)------------------------------
% 1.45/0.54 % (22111)------------------------------
% 1.45/0.54 % (22115)Instruction limit reached!
% 1.45/0.54 % (22115)------------------------------
% 1.45/0.54 % (22115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (22115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (22115)Termination reason: Unknown
% 1.45/0.54 % (22115)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (22115)Memory used [KB]: 6652
% 1.45/0.54 % (22115)Time elapsed: 0.139 s
% 1.45/0.54 % (22115)Instructions burned: 46 (million)
% 1.45/0.54 % (22115)------------------------------
% 1.45/0.54 % (22115)------------------------------
% 1.45/0.54 % (22101)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.55 % (22095)Instruction limit reached!
% 1.45/0.55 % (22095)------------------------------
% 1.45/0.55 % (22095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (22095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (22095)Termination reason: Unknown
% 1.45/0.55 % (22095)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (22095)Memory used [KB]: 6140
% 1.45/0.55 % (22095)Time elapsed: 0.139 s
% 1.45/0.55 % (22095)Instructions burned: 25 (million)
% 1.45/0.55 % (22095)------------------------------
% 1.45/0.55 % (22095)------------------------------
% 1.45/0.55 % (22116)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.45/0.55 % (22108)Instruction limit reached!
% 1.45/0.55 % (22108)------------------------------
% 1.45/0.55 % (22108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (22108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (22108)Termination reason: Unknown
% 1.45/0.55 % (22108)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (22108)Memory used [KB]: 6012
% 1.45/0.55 % (22108)Time elapsed: 0.150 s
% 1.45/0.55 % (22108)Instructions burned: 8 (million)
% 1.45/0.55 % (22108)------------------------------
% 1.45/0.55 % (22108)------------------------------
% 1.45/0.55 % (22101)Instruction limit reached!
% 1.45/0.55 % (22101)------------------------------
% 1.45/0.55 % (22101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (22101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (22101)Termination reason: Unknown
% 1.45/0.55 % (22101)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (22101)Memory used [KB]: 6012
% 1.45/0.55 % (22101)Time elapsed: 0.151 s
% 1.45/0.55 % (22101)Instructions burned: 7 (million)
% 1.45/0.55 % (22101)------------------------------
% 1.45/0.55 % (22101)------------------------------
% 1.64/0.55 % (22117)Refutation not found, incomplete strategy% (22117)------------------------------
% 1.64/0.55 % (22117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.55 % (22117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.55 % (22117)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.55
% 1.64/0.55 % (22117)Memory used [KB]: 5884
% 1.64/0.55 % (22117)Time elapsed: 0.158 s
% 1.64/0.55 % (22117)Instructions burned: 5 (million)
% 1.64/0.55 % (22117)------------------------------
% 1.64/0.55 % (22117)------------------------------
% 1.64/0.55 % (22100)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.64/0.55 % (22109)Refutation not found, incomplete strategy% (22109)------------------------------
% 1.64/0.55 % (22109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.55 % (22109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.55 % (22109)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.55
% 1.64/0.55 % (22109)Memory used [KB]: 10490
% 1.64/0.55 % (22109)Time elapsed: 0.144 s
% 1.64/0.55 % (22109)Instructions burned: 13 (million)
% 1.64/0.55 % (22109)------------------------------
% 1.64/0.55 % (22109)------------------------------
% 1.64/0.56 % (22110)Instruction limit reached!
% 1.64/0.56 % (22110)------------------------------
% 1.64/0.56 % (22110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (22110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (22110)Termination reason: Unknown
% 1.64/0.56 % (22110)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (22110)Memory used [KB]: 6012
% 1.64/0.56 % (22110)Time elapsed: 0.150 s
% 1.64/0.56 % (22110)Instructions burned: 7 (million)
% 1.64/0.56 % (22110)------------------------------
% 1.64/0.56 % (22110)------------------------------
% 1.64/0.57 % (22102)Instruction limit reached!
% 1.64/0.57 % (22102)------------------------------
% 1.64/0.57 % (22102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (22102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (22102)Termination reason: Unknown
% 1.64/0.57 % (22102)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (22102)Memory used [KB]: 6268
% 1.64/0.57 % (22102)Time elapsed: 0.170 s
% 1.64/0.57 % (22102)Instructions burned: 23 (million)
% 1.64/0.57 % (22102)------------------------------
% 1.64/0.57 % (22102)------------------------------
% 1.64/0.57 % (22105)Instruction limit reached!
% 1.64/0.57 % (22105)------------------------------
% 1.64/0.57 % (22105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (22105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (22105)Termination reason: Unknown
% 1.64/0.57 % (22105)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (22105)Memory used [KB]: 1663
% 1.64/0.57 % (22105)Time elapsed: 0.141 s
% 1.64/0.57 % (22105)Instructions burned: 30 (million)
% 1.64/0.57 % (22105)------------------------------
% 1.64/0.57 % (22105)------------------------------
% 1.64/0.58 % (22093)Instruction limit reached!
% 1.64/0.58 % (22093)------------------------------
% 1.64/0.58 % (22093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (22093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (22093)Termination reason: Unknown
% 1.64/0.58 % (22093)Termination phase: Saturation
% 1.64/0.58
% 1.64/0.58 % (22093)Memory used [KB]: 6268
% 1.64/0.58 % (22093)Time elapsed: 0.185 s
% 1.64/0.58 % (22093)Instructions burned: 44 (million)
% 1.64/0.58 % (22093)------------------------------
% 1.64/0.58 % (22093)------------------------------
% 1.64/0.59 % (22091)Instruction limit reached!
% 1.64/0.59 % (22091)------------------------------
% 1.64/0.59 % (22091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (22091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (22091)Termination reason: Unknown
% 1.64/0.59 % (22091)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (22091)Memory used [KB]: 1663
% 1.64/0.59 % (22091)Time elapsed: 0.198 s
% 1.64/0.59 % (22091)Instructions burned: 42 (million)
% 1.64/0.59 % (22091)------------------------------
% 1.64/0.59 % (22091)------------------------------
% 1.64/0.60 % (22096)Instruction limit reached!
% 1.64/0.60 % (22096)------------------------------
% 1.64/0.60 % (22096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (22096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (22096)Termination reason: Unknown
% 1.64/0.60 % (22096)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (22096)Memory used [KB]: 1663
% 1.64/0.60 % (22096)Time elapsed: 0.186 s
% 1.64/0.60 % (22096)Instructions burned: 49 (million)
% 1.64/0.60 % (22096)------------------------------
% 1.64/0.60 % (22096)------------------------------
% 1.64/0.60 % (22121)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.64/0.61 % (22112)Instruction limit reached!
% 1.64/0.61 % (22112)------------------------------
% 1.64/0.61 % (22112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (22112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (22112)Termination reason: Unknown
% 1.64/0.61 % (22112)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (22112)Memory used [KB]: 7164
% 1.64/0.61 % (22112)Time elapsed: 0.200 s
% 1.64/0.61 % (22112)Instructions burned: 67 (million)
% 1.64/0.61 % (22112)------------------------------
% 1.64/0.61 % (22112)------------------------------
% 1.64/0.62 % (22090)First to succeed.
% 1.64/0.62 % (22097)Instruction limit reached!
% 1.64/0.62 % (22097)------------------------------
% 1.64/0.62 % (22097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (22090)Refutation found. Thanks to Tanya!
% 1.64/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.64/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.62 % (22090)------------------------------
% 1.64/0.62 % (22090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (22090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (22090)Termination reason: Refutation
% 1.64/0.62
% 1.64/0.62 % (22090)Memory used [KB]: 6524
% 1.64/0.62 % (22090)Time elapsed: 0.203 s
% 1.64/0.62 % (22090)Instructions burned: 48 (million)
% 1.64/0.62 % (22090)------------------------------
% 1.64/0.62 % (22090)------------------------------
% 1.64/0.62 % (22089)Success in time 0.26 s
%------------------------------------------------------------------------------