TSTP Solution File: GRP387-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP387-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:39 EDT 2022
% Result : Unsatisfiable 1.68s 0.62s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 61
% Syntax : Number of formulae : 410 ( 35 unt; 0 def)
% Number of atoms : 1721 ( 468 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2596 (1285 ~;1293 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1607,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f94,f108,f113,f118,f119,f124,f125,f126,f127,f128,f129,f134,f135,f136,f137,f138,f139,f140,f141,f155,f156,f157,f158,f159,f160,f161,f162,f163,f315,f320,f327,f430,f446,f558,f755,f762,f803,f877,f898,f923,f1016,f1068,f1082,f1096,f1223,f1252,f1335,f1431,f1461,f1578,f1606]) ).
fof(f1606,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1605,plain,
( $false
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1604,f1522]) ).
fof(f1522,plain,
( identity = inverse(identity)
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f371,f366]) ).
fof(f366,plain,
( identity = sk_c1
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl11_17
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f371,plain,
( identity = inverse(sk_c1)
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl11_18
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f1604,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1600,f1522]) ).
fof(f1600,plain,
( identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1598]) ).
fof(f1598,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(superposition,[],[f1567,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1567,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1532,f1557]) ).
fof(f1557,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_7
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1503,f1522]) ).
fof(f1503,plain,
( sk_c6 = inverse(identity)
| ~ spl11_4
| ~ spl11_7
| ~ spl11_20 ),
inference(backward_demodulation,[],[f570,f1459]) ).
fof(f1459,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_7
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1442,f563]) ).
fof(f563,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f170,f93]) ).
fof(f93,plain,
( sk_c6 = sF0
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_4
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f170,plain,
identity = multiply(sF0,sk_c7),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
inverse(sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f1442,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl11_7
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1263,f1322]) ).
fof(f1322,plain,
( sk_c7 = sk_c5
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f1321,plain,
( spl11_20
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f1263,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f45,f107]) ).
fof(f107,plain,
( sk_c7 = sF6
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl11_7
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f45,plain,
multiply(sk_c6,sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f570,plain,
( inverse(sk_c7) = sk_c6
| ~ spl11_4 ),
inference(forward_demodulation,[],[f35,f93]) ).
fof(f1532,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1531,f1459]) ).
fof(f1531,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_4
| ~ spl11_7
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f145,f1459]) ).
fof(f145,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl11_12
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1578,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_11
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1577,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_11
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1561,f1573]) ).
fof(f1573,plain,
( identity = sF4
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1570,f1522]) ).
fof(f1570,plain,
( inverse(identity) = sF4
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f41,f1569]) ).
fof(f1569,plain,
( identity = sk_c3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1357,f1566]) ).
fof(f1566,plain,
( identity = multiply(inverse(sF4),identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1512,f1557]) ).
fof(f1512,plain,
( identity = multiply(inverse(sF4),sk_c6)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1449,f1459]) ).
fof(f1449,plain,
( sk_c7 = multiply(inverse(sF4),sk_c6)
| ~ spl11_6
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1423,f1322]) ).
fof(f1423,plain,
( sk_c5 = multiply(inverse(sF4),sk_c6)
| ~ spl11_6 ),
inference(superposition,[],[f186,f1257]) ).
fof(f1257,plain,
( sk_c6 = multiply(sF4,sk_c5)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f209,f41]) ).
fof(f209,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c5)
| ~ spl11_6 ),
inference(superposition,[],[f186,f169]) ).
fof(f169,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| ~ spl11_6 ),
inference(backward_demodulation,[],[f50,f103]) ).
fof(f103,plain,
( sk_c5 = sF8
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl11_6
<=> sk_c5 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f50,plain,
multiply(sk_c3,sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f186,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f176,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
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(f1357,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f186,f1206]) ).
fof(f1206,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f1561,plain,
( identity != sF4
| ~ spl11_4
| ~ spl11_7
| spl11_11
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f132,f1557]) ).
fof(f132,plain,
( sk_c6 != sF4
| spl11_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl11_11
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1461,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1460,plain,
( $false
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1459,f1298]) ).
fof(f1298,plain,
( identity != sk_c7
| ~ spl11_9
| spl11_18 ),
inference(superposition,[],[f372,f1268]) ).
fof(f1268,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f42,f117]) ).
fof(f117,plain,
( sk_c7 = sF5
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl11_9
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f42,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f372,plain,
( identity != inverse(sk_c1)
| spl11_18 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f1431,plain,
( spl11_20
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f1428,f115,f110,f91,f78,f1321]) ).
fof(f78,plain,
( spl11_1
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f110,plain,
( spl11_8
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1428,plain,
( sk_c7 = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f1279,f1427]) ).
fof(f1427,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1425,f570]) ).
fof(f1425,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_1
| ~ spl11_9 ),
inference(superposition,[],[f186,f1274]) ).
fof(f1274,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_9 ),
inference(backward_demodulation,[],[f1255,f117]) ).
fof(f1255,plain,
( sk_c6 = multiply(sF5,sk_c7)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f218,f80]) ).
fof(f80,plain,
( sk_c7 = sF3
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f218,plain,
sk_c6 = multiply(sF5,sF3),
inference(forward_demodulation,[],[f210,f42]) ).
fof(f210,plain,
sk_c6 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f186,f39]) ).
fof(f39,plain,
multiply(sk_c1,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f1279,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_4
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1259,f93]) ).
fof(f1259,plain,
( sk_c5 = multiply(sF0,sk_c6)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f250,f112]) ).
fof(f112,plain,
( sk_c6 = sF7
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f250,plain,
sk_c5 = multiply(sF0,sF7),
inference(forward_demodulation,[],[f214,f35]) ).
fof(f214,plain,
sk_c5 = multiply(inverse(sk_c7),sF7),
inference(superposition,[],[f186,f46]) ).
fof(f46,plain,
multiply(sk_c7,sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f1335,plain,
( ~ spl11_1
| ~ spl11_9
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| ~ spl11_1
| ~ spl11_9
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1315,f1268]) ).
fof(f1315,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl11_1
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f1311]) ).
fof(f1311,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl11_1
| ~ spl11_15 ),
inference(superposition,[],[f154,f1256]) ).
fof(f1256,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f39,f80]) ).
fof(f154,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl11_15
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1252,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f1246,f1156]) ).
fof(f1156,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1129,f1135]) ).
fof(f1135,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1117,f1125]) ).
fof(f1125,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1107,f117]) ).
fof(f1107,plain,
( ! [X0] : multiply(inverse(sF5),X0) = X0
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1104,f1]) ).
fof(f1104,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sF5),X0)
| ~ spl11_17 ),
inference(backward_demodulation,[],[f350,f366]) ).
fof(f350,plain,
! [X0] : multiply(inverse(sF5),X0) = multiply(sk_c1,X0),
inference(forward_demodulation,[],[f349,f1]) ).
fof(f349,plain,
! [X0] : multiply(inverse(sF5),multiply(identity,X0)) = multiply(sk_c1,X0),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
sk_c1 = multiply(inverse(sF5),identity),
inference(superposition,[],[f186,f174]) ).
fof(f174,plain,
identity = multiply(sF5,sk_c1),
inference(superposition,[],[f2,f42]) ).
fof(f1117,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_17 ),
inference(backward_demodulation,[],[f576,f1109]) ).
fof(f1109,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1105,f80]) ).
fof(f1105,plain,
( sk_c6 = sF3
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1097,f1]) ).
fof(f1097,plain,
( multiply(identity,sk_c6) = sF3
| ~ spl11_17 ),
inference(backward_demodulation,[],[f39,f366]) ).
fof(f576,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f208,f93]) ).
fof(f208,plain,
sk_c7 = multiply(inverse(sF0),identity),
inference(superposition,[],[f186,f170]) ).
fof(f1129,plain,
( sk_c7 = inverse(identity)
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1098,f117]) ).
fof(f1098,plain,
( sF5 = inverse(identity)
| ~ spl11_17 ),
inference(backward_demodulation,[],[f42,f366]) ).
fof(f1246,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1243]) ).
fof(f1243,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(superposition,[],[f1241,f1]) ).
fof(f1241,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1240,f1161]) ).
fof(f1161,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1160,f2]) ).
fof(f1160,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1159,f1144]) ).
fof(f1144,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1109,f1135]) ).
fof(f1159,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f213,f1139]) ).
fof(f1139,plain,
( identity = sF6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f107,f1135]) ).
fof(f213,plain,
sk_c5 = multiply(inverse(sk_c6),sF6),
inference(superposition,[],[f186,f45]) ).
fof(f1240,plain,
( ! [X5] :
( sk_c5 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1239,f1144]) ).
fof(f1239,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f148,f1144]) ).
fof(f148,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl11_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1223,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f1221,f1156]) ).
fof(f1221,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1216,f1156]) ).
fof(f1216,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1214]) ).
fof(f1214,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(superposition,[],[f1167,f2]) ).
fof(f1167,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1163,f1161]) ).
fof(f1163,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c5 != multiply(X6,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_7
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f1141,f1161]) ).
fof(f1141,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| sk_c5 != inverse(X6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_9
| ~ spl11_14
| ~ spl11_17 ),
inference(backward_demodulation,[],[f151,f1135]) ).
fof(f151,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| sk_c5 != inverse(X6) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl11_14
<=> ! [X6] :
( sk_c5 != inverse(X6)
| sk_c5 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1096,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1090,f992]) ).
fof(f992,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f943,f974]) ).
fof(f974,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f973,f948]) ).
fof(f948,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f925,f934]) ).
fof(f934,plain,
( sk_c7 = sk_c6
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(backward_demodulation,[],[f221,f107]) ).
fof(f221,plain,
( sk_c6 = sF6
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f45,f220]) ).
fof(f220,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f209,f166]) ).
fof(f166,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f41,f133]) ).
fof(f133,plain,
( sk_c6 = sF4
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f925,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f924,f112]) ).
fof(f924,plain,
( identity = multiply(sk_c6,sF7)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f251,f93]) ).
fof(f251,plain,
( identity = multiply(sF0,sF7)
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f250,f224]) ).
fof(f224,plain,
( identity = sk_c5
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f222,f2]) ).
fof(f222,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f213,f221]) ).
fof(f973,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f972,f98]) ).
fof(f98,plain,
( sk_c7 = sF9
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl11_5
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f972,plain,
( sk_c7 = multiply(sF9,sk_c7)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f564,f934]) ).
fof(f564,plain,
( sk_c7 = multiply(sF9,sk_c6)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f207,f52]) ).
fof(f52,plain,
inverse(sk_c2) = sF9,
introduced(function_definition,[]) ).
fof(f207,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl11_10 ),
inference(superposition,[],[f186,f168]) ).
fof(f168,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f56,f123]) ).
fof(f123,plain,
( sk_c6 = sF10
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl11_10
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f56,plain,
multiply(sk_c2,sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f943,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(backward_demodulation,[],[f570,f934]) ).
fof(f1090,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f1087]) ).
fof(f1087,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(superposition,[],[f1085,f1]) ).
fof(f1085,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1084,f974]) ).
fof(f1084,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1083,f985]) ).
fof(f985,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f934,f974]) ).
fof(f1083,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f154,f974]) ).
fof(f1082,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1080,f992]) ).
fof(f1080,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1076,f992]) ).
fof(f1076,plain,
( identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f1071,f2]) ).
fof(f1071,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1070,f224]) ).
fof(f1070,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1069,f974]) ).
fof(f1069,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f151,f224]) ).
fof(f1068,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1066,f992]) ).
fof(f1066,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1062,f992]) ).
fof(f1062,plain,
( identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f1060]) ).
fof(f1060,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f998,f2]) ).
fof(f998,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f996,f974]) ).
fof(f996,plain,
( ! [X5] :
( identity != multiply(X5,sk_c7)
| identity != inverse(X5) )
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13 ),
inference(backward_demodulation,[],[f967,f974]) ).
fof(f967,plain,
( ! [X5] :
( identity != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f966,f224]) ).
fof(f966,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c5 != multiply(X5,sk_c7) )
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f965,f934]) ).
fof(f965,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f148,f934]) ).
fof(f1016,plain,
( spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f1014,f367]) ).
fof(f367,plain,
( identity != sk_c1
| spl11_17 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f1014,plain,
( identity = sk_c1
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1013,f2]) ).
fof(f1013,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_18 ),
inference(backward_demodulation,[],[f216,f1008]) ).
fof(f1008,plain,
( identity = sF5
| ~ spl11_18 ),
inference(backward_demodulation,[],[f42,f371]) ).
fof(f923,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f911,f782]) ).
fof(f782,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17
| ~ spl11_18 ),
inference(backward_demodulation,[],[f775,f780]) ).
fof(f780,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(backward_demodulation,[],[f654,f366]) ).
fof(f654,plain,
( sk_c6 = sk_c1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f573,f238]) ).
fof(f238,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f220,f224]) ).
fof(f573,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl11_4
| ~ spl11_9 ),
inference(backward_demodulation,[],[f565,f570]) ).
fof(f565,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f216,f117]) ).
fof(f775,plain,
( identity = inverse(sk_c6)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_18 ),
inference(backward_demodulation,[],[f371,f654]) ).
fof(f911,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(trivial_inequality_removal,[],[f908]) ).
fof(f908,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(superposition,[],[f905,f1]) ).
fof(f905,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f904,f789]) ).
fof(f789,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f788,f782]) ).
fof(f788,plain,
( sk_c7 = inverse(identity)
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f567,f366]) ).
fof(f567,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f42,f117]) ).
fof(f904,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f903,f780]) ).
fof(f903,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f154,f789]) ).
fof(f898,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f892,f782]) ).
fof(f892,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f887,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(superposition,[],[f884,f1]) ).
fof(f884,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f883,f224]) ).
fof(f883,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c5 != inverse(X6) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f882,f224]) ).
fof(f882,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| sk_c5 != inverse(X6) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f151,f789]) ).
fof(f877,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f876,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f875,f782]) ).
fof(f875,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f871,f782]) ).
fof(f871,plain,
( identity != inverse(inverse(identity))
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f867]) ).
fof(f867,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(superposition,[],[f845,f2]) ).
fof(f845,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f844,f224]) ).
fof(f844,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c5 != multiply(X5,identity) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f843,f780]) ).
fof(f843,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f148,f780]) ).
fof(f803,plain,
( spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f801,f789]) ).
fof(f801,plain,
( identity != sk_c7
| spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(forward_demodulation,[],[f79,f784]) ).
fof(f784,plain,
( identity = sF3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(forward_demodulation,[],[f781,f1]) ).
fof(f781,plain,
( multiply(identity,identity) = sF3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(backward_demodulation,[],[f776,f780]) ).
fof(f776,plain,
( multiply(sk_c6,sk_c6) = sF3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f39,f654]) ).
fof(f79,plain,
( sk_c7 != sF3
| spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f762,plain,
( spl11_18
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f761,f131,f115,f110,f105,f101,f91,f78,f370]) ).
fof(f761,plain,
( identity = inverse(sk_c1)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f567,f732]) ).
fof(f732,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f107,f720]) ).
fof(f720,plain,
( identity = sF6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f221,f664]) ).
fof(f664,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f652,f659]) ).
fof(f659,plain,
( ! [X11] : multiply(sk_c7,X11) = X11
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f658,f562]) ).
fof(f562,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl11_4 ),
inference(backward_demodulation,[],[f194,f93]) ).
fof(f194,plain,
! [X0] : multiply(sF0,multiply(sk_c7,X0)) = X0,
inference(forward_demodulation,[],[f193,f1]) ).
fof(f193,plain,
! [X0] : multiply(identity,X0) = multiply(sF0,multiply(sk_c7,X0)),
inference(superposition,[],[f3,f170]) ).
fof(f658,plain,
( ! [X11] : multiply(sk_c6,multiply(sk_c7,X11)) = multiply(sk_c7,X11)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f651,f654]) ).
fof(f651,plain,
( ! [X11] : multiply(sk_c1,multiply(sk_c7,X11)) = multiply(sk_c7,X11)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f560,f650]) ).
fof(f650,plain,
( ! [X14] : multiply(sk_c7,X14) = multiply(sk_c6,X14)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f246,f112]) ).
fof(f246,plain,
( ! [X14] : multiply(sF7,X14) = multiply(sk_c7,X14)
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
( ! [X14] : multiply(sF7,X14) = multiply(sk_c7,multiply(identity,X14))
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f184,f224]) ).
fof(f184,plain,
! [X14] : multiply(sF7,X14) = multiply(sk_c7,multiply(sk_c5,X14)),
inference(superposition,[],[f3,f46]) ).
fof(f560,plain,
( ! [X11] : multiply(sk_c7,X11) = multiply(sk_c1,multiply(sk_c6,X11))
| ~ spl11_1 ),
inference(backward_demodulation,[],[f181,f80]) ).
fof(f181,plain,
! [X11] : multiply(sF3,X11) = multiply(sk_c1,multiply(sk_c6,X11)),
inference(superposition,[],[f3,f39]) ).
fof(f652,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f225,f112]) ).
fof(f225,plain,
( multiply(sk_c7,identity) = sF7
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f46,f224]) ).
fof(f755,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_17 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f754,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_17 ),
inference(subsumption_resolution,[],[f753,f367]) ).
fof(f753,plain,
( identity = sk_c1
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f654,f664]) ).
fof(f558,plain,
( ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f557,plain,
( $false
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f556,f431]) ).
fof(f431,plain,
( identity = inverse(identity)
| ~ spl11_17
| ~ spl11_18 ),
inference(backward_demodulation,[],[f371,f366]) ).
fof(f556,plain,
( identity != inverse(identity)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f550,f431]) ).
fof(f550,plain,
( identity != inverse(inverse(identity))
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f548,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(superposition,[],[f517,f2]) ).
fof(f517,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f516,f456]) ).
fof(f456,plain,
( identity = sk_c7
| ~ spl11_9
| ~ spl11_17
| ~ spl11_18 ),
inference(backward_demodulation,[],[f451,f431]) ).
fof(f451,plain,
( sk_c7 = inverse(identity)
| ~ spl11_9
| ~ spl11_17 ),
inference(backward_demodulation,[],[f447,f117]) ).
fof(f447,plain,
( sF5 = inverse(identity)
| ~ spl11_17 ),
inference(forward_demodulation,[],[f42,f366]) ).
fof(f516,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f515,f472]) ).
fof(f472,plain,
( identity = sk_c6
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(forward_demodulation,[],[f112,f455]) ).
fof(f455,plain,
( identity = sF7
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(backward_demodulation,[],[f225,f454]) ).
fof(f454,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl11_9
| ~ spl11_17 ),
inference(forward_demodulation,[],[f202,f451]) ).
fof(f202,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f186,f1]) ).
fof(f515,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18 ),
inference(forward_demodulation,[],[f145,f456]) ).
fof(f446,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f440,f243]) ).
fof(f243,plain,
( identity = inverse(identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f229,f242]) ).
fof(f242,plain,
( identity = sk_c4
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f237,f2]) ).
fof(f237,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f215,f224]) ).
fof(f215,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl11_3 ),
inference(superposition,[],[f186,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl11_3 ),
inference(superposition,[],[f2,f164]) ).
fof(f164,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f38,f89]) ).
fof(f89,plain,
( sk_c5 = sF2
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl11_3
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f38,plain,
inverse(sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f229,plain,
( identity = inverse(sk_c4)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f164,f224]) ).
fof(f440,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f437]) ).
fof(f437,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f392,f1]) ).
fof(f392,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f330,f379]) ).
fof(f379,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f112,f313]) ).
fof(f313,plain,
( identity = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f267,plain,
( multiply(identity,identity) = sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f225,f255]) ).
fof(f255,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f254,f2]) ).
fof(f254,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f253,f242]) ).
fof(f253,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f206,f224]) ).
fof(f206,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c5)
| ~ spl11_2 ),
inference(superposition,[],[f186,f167]) ).
fof(f167,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f36,f84]) ).
fof(f84,plain,
( sk_c5 = sF1
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_2
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f36,plain,
multiply(sk_c4,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f330,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f329,f255]) ).
fof(f329,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f145,f255]) ).
fof(f430,plain,
( spl11_18
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f422,f131,f115,f101,f87,f82,f370]) ).
fof(f422,plain,
( identity = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f42,f421]) ).
fof(f421,plain,
( identity = sF5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f117,f255]) ).
fof(f327,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f325,f255]) ).
fof(f325,plain,
( identity != sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f106,f295]) ).
fof(f295,plain,
( identity = sF6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f221,f284]) ).
fof(f284,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f283,f1]) ).
fof(f283,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f259,f272]) ).
fof(f272,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f252,f271]) ).
fof(f271,plain,
( ! [X0] : multiply(sF0,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( ! [X0] : multiply(sF0,multiply(identity,X0)) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f194,f255]) ).
fof(f252,plain,
( sk_c2 = multiply(sF0,identity)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f211,f35]) ).
fof(f211,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_5 ),
inference(superposition,[],[f186,f171]) ).
fof(f171,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_5 ),
inference(superposition,[],[f2,f165]) ).
fof(f165,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f52,f98]) ).
fof(f259,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f168,f255]) ).
fof(f106,plain,
( sk_c7 != sF6
| spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f320,plain,
( ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f318,f284]) ).
fof(f318,plain,
( identity != sk_c6
| ~ spl11_2
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f92,f273]) ).
fof(f273,plain,
( identity = sF0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f256,f243]) ).
fof(f256,plain,
( inverse(identity) = sF0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11 ),
inference(backward_demodulation,[],[f35,f255]) ).
fof(f92,plain,
( sk_c6 != sF0
| spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f315,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f313,f286]) ).
fof(f286,plain,
( identity != sF7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f111,f284]) ).
fof(f111,plain,
( sk_c6 != sF7
| spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f163,plain,
( spl11_7
| spl11_5 ),
inference(avatar_split_clause,[],[f75,f96,f105]) ).
fof(f75,plain,
( sk_c7 = sF9
| sk_c7 = sF6 ),
inference(definition_folding,[],[f11,f52,f45]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f162,plain,
( spl11_10
| spl11_8 ),
inference(avatar_split_clause,[],[f66,f110,f121]) ).
fof(f66,plain,
( sk_c6 = sF7
| sk_c6 = sF10 ),
inference(definition_folding,[],[f16,f46,f56]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f161,plain,
( spl11_11
| spl11_7 ),
inference(avatar_split_clause,[],[f65,f105,f131]) ).
fof(f65,plain,
( sk_c7 = sF6
| sk_c6 = sF4 ),
inference(definition_folding,[],[f13,f45,f41]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f160,plain,
( spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f69,f78,f101]) ).
fof(f69,plain,
( sk_c7 = sF3
| sk_c5 = sF8 ),
inference(definition_folding,[],[f30,f50,f39]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f159,plain,
( spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f76,f87,f105]) ).
fof(f76,plain,
( sk_c5 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f14,f38,f45]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f158,plain,
( spl11_11
| spl11_1 ),
inference(avatar_split_clause,[],[f63,f78,f131]) ).
fof(f63,plain,
( sk_c7 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f31,f39,f41]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f157,plain,
( spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f59,f82,f105]) ).
fof(f59,plain,
( sk_c5 = sF1
| sk_c7 = sF6 ),
inference(definition_folding,[],[f15,f45,f36]) ).
fof(f15,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f156,plain,
( spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f37,f82,f91]) ).
fof(f37,plain,
( sk_c5 = sF1
| sk_c6 = sF0 ),
inference(definition_folding,[],[f9,f36,f35]) ).
fof(f9,axiom,
( inverse(sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f155,plain,
( ~ spl11_8
| spl11_12
| ~ spl11_7
| ~ spl11_4
| spl11_13
| spl11_14
| spl11_15 ),
inference(avatar_split_clause,[],[f47,f153,f150,f147,f91,f105,f144,f110]) ).
fof(f47,plain,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c5 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6)
| sk_c6 != sF0
| sk_c7 != sF6
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c5 != multiply(X6,sk_c7)
| sk_c6 != sF7 ),
inference(definition_folding,[],[f34,f46,f45,f35]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c5 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X6)
| sk_c6 != inverse(X5)
| inverse(sk_c7) != sk_c6
| sk_c5 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f141,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f71,f96,f91]) ).
fof(f71,plain,
( sk_c7 = sF9
| sk_c6 = sF0 ),
inference(definition_folding,[],[f5,f52,f35]) ).
fof(f5,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f140,plain,
( spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f54,f110,f131]) ).
fof(f54,plain,
( sk_c6 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f19,f46,f41]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f139,plain,
( spl11_4
| spl11_11 ),
inference(avatar_split_clause,[],[f48,f131,f91]) ).
fof(f48,plain,
( sk_c6 = sF4
| sk_c6 = sF0 ),
inference(definition_folding,[],[f7,f35,f41]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f138,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f40,f87,f78]) ).
fof(f40,plain,
( sk_c5 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f32,f39,f38]) ).
fof(f32,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f137,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f74,f91,f101]) ).
fof(f74,plain,
( sk_c6 = sF0
| sk_c5 = sF8 ),
inference(definition_folding,[],[f6,f50,f35]) ).
fof(f6,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f136,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f49,f87,f115]) ).
fof(f49,plain,
( sk_c5 = sF2
| sk_c7 = sF5 ),
inference(definition_folding,[],[f26,f38,f42]) ).
fof(f26,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f135,plain,
( spl11_8
| spl11_2 ),
inference(avatar_split_clause,[],[f60,f82,f110]) ).
fof(f60,plain,
( sk_c5 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f21,f36,f46]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f134,plain,
( spl11_9
| spl11_11 ),
inference(avatar_split_clause,[],[f43,f131,f115]) ).
fof(f43,plain,
( sk_c6 = sF4
| sk_c7 = sF5 ),
inference(definition_folding,[],[f25,f42,f41]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f129,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f61,f121,f115]) ).
fof(f61,plain,
( sk_c6 = sF10
| sk_c7 = sF5 ),
inference(definition_folding,[],[f22,f42,f56]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f128,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f67,f101,f110]) ).
fof(f67,plain,
( sk_c5 = sF8
| sk_c6 = sF7 ),
inference(definition_folding,[],[f18,f46,f50]) ).
fof(f18,axiom,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f127,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f73,f115,f96]) ).
fof(f73,plain,
( sk_c7 = sF5
| sk_c7 = sF9 ),
inference(definition_folding,[],[f23,f42,f52]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f126,plain,
( spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f72,f110,f96]) ).
fof(f72,plain,
( sk_c6 = sF7
| sk_c7 = sF9 ),
inference(definition_folding,[],[f17,f52,f46]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f125,plain,
( spl11_10
| spl11_7 ),
inference(avatar_split_clause,[],[f70,f105,f121]) ).
fof(f70,plain,
( sk_c7 = sF6
| sk_c6 = sF10 ),
inference(definition_folding,[],[f10,f45,f56]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f124,plain,
( spl11_10
| spl11_4 ),
inference(avatar_split_clause,[],[f64,f91,f121]) ).
fof(f64,plain,
( sk_c6 = sF0
| sk_c6 = sF10 ),
inference(definition_folding,[],[f4,f56,f35]) ).
fof(f4,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f119,plain,
( spl11_9
| spl11_2 ),
inference(avatar_split_clause,[],[f44,f82,f115]) ).
fof(f44,plain,
( sk_c5 = sF1
| sk_c7 = sF5 ),
inference(definition_folding,[],[f27,f36,f42]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f118,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f58,f101,f115]) ).
fof(f58,plain,
( sk_c5 = sF8
| sk_c7 = sF5 ),
inference(definition_folding,[],[f24,f42,f50]) ).
fof(f24,axiom,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f113,plain,
( spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f68,f87,f110]) ).
fof(f68,plain,
( sk_c5 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f20,f38,f46]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f108,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f51,f105,f101]) ).
fof(f51,plain,
( sk_c7 = sF6
| sk_c5 = sF8 ),
inference(definition_folding,[],[f12,f50,f45]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f94,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f62,f91,f87]) ).
fof(f62,plain,
( sk_c6 = sF0
| sk_c5 = sF2 ),
inference(definition_folding,[],[f8,f38,f35]) ).
fof(f8,axiom,
( inverse(sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f55,f82,f78]) ).
fof(f55,plain,
( sk_c5 = sF1
| sk_c7 = sF3 ),
inference(definition_folding,[],[f33,f39,f36]) ).
fof(f33,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP387-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:27:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (21688)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (21709)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.51 % (21698)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)
% 0.19/0.51 % (21700)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51 % (21698)Instruction limit reached!
% 0.19/0.51 % (21698)------------------------------
% 0.19/0.51 % (21698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21698)Termination reason: Unknown
% 0.19/0.51 % (21698)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (21698)Memory used [KB]: 5884
% 0.19/0.51 % (21698)Time elapsed: 0.109 s
% 0.19/0.51 % (21698)Instructions burned: 6 (million)
% 0.19/0.51 % (21698)------------------------------
% 0.19/0.51 % (21698)------------------------------
% 0.19/0.51 % (21705)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)
% 0.19/0.51 % (21690)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (21702)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (21696)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (21688)Instruction limit reached!
% 0.19/0.52 % (21688)------------------------------
% 0.19/0.52 % (21688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21688)Termination reason: Unknown
% 0.19/0.52 % (21688)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (21688)Memory used [KB]: 5884
% 0.19/0.52 % (21688)Time elapsed: 0.104 s
% 0.19/0.52 % (21688)Instructions burned: 4 (million)
% 0.19/0.52 % (21688)------------------------------
% 0.19/0.52 % (21688)------------------------------
% 0.19/0.52 % (21697)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (21691)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (21692)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (21699)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (21708)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.52 % (21699)Instruction limit reached!
% 0.19/0.52 % (21699)------------------------------
% 0.19/0.52 % (21699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21699)Termination reason: Unknown
% 0.19/0.52 % (21699)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (21699)Memory used [KB]: 5884
% 0.19/0.52 % (21699)Time elapsed: 0.003 s
% 0.19/0.52 % (21699)Instructions burned: 4 (million)
% 0.19/0.52 % (21699)------------------------------
% 0.19/0.52 % (21699)------------------------------
% 0.19/0.52 % (21710)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (21686)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53 % (21696)Instruction limit reached!
% 0.19/0.53 % (21696)------------------------------
% 0.19/0.53 % (21696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21696)Termination reason: Unknown
% 0.19/0.53 % (21696)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (21696)Memory used [KB]: 6012
% 0.19/0.53 % (21696)Time elapsed: 0.130 s
% 0.19/0.53 % (21696)Instructions burned: 7 (million)
% 0.19/0.53 % (21696)------------------------------
% 0.19/0.53 % (21696)------------------------------
% 0.19/0.53 % (21693)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21711)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (21687)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (21712)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.53 % (21705)Refutation not found, incomplete strategy% (21705)------------------------------
% 0.19/0.53 % (21705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21705)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (21705)Memory used [KB]: 10490
% 0.19/0.53 % (21705)Time elapsed: 0.128 s
% 0.19/0.53 % (21705)Instructions burned: 12 (million)
% 0.19/0.53 % (21705)------------------------------
% 0.19/0.53 % (21705)------------------------------
% 0.19/0.53 % (21715)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)
% 0.19/0.53 % (21716)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)
% 0.19/0.54 % (21689)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.54 % (21689)Refutation not found, incomplete strategy% (21689)------------------------------
% 0.19/0.54 % (21689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21689)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (21689)Memory used [KB]: 5884
% 0.19/0.54 % (21689)Time elapsed: 0.134 s
% 0.19/0.54 % (21689)Instructions burned: 3 (million)
% 0.19/0.54 % (21689)------------------------------
% 0.19/0.54 % (21689)------------------------------
% 0.19/0.54 % (21702)Instruction limit reached!
% 0.19/0.54 % (21702)------------------------------
% 0.19/0.54 % (21702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21702)Termination reason: Unknown
% 0.19/0.54 % (21702)Termination phase: Finite model building preprocessing
% 0.19/0.54
% 0.19/0.54 % (21702)Memory used [KB]: 6012
% 0.19/0.54 % (21702)Time elapsed: 0.006 s
% 0.19/0.54 % (21702)Instructions burned: 6 (million)
% 0.19/0.54 % (21702)------------------------------
% 0.19/0.54 % (21702)------------------------------
% 0.19/0.54 % (21703)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)
% 0.19/0.54 % (21710)Refutation not found, incomplete strategy% (21710)------------------------------
% 0.19/0.54 % (21710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21710)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (21710)Memory used [KB]: 5884
% 0.19/0.54 % (21710)Time elapsed: 0.126 s
% 0.19/0.54 % (21710)Instructions burned: 3 (million)
% 0.19/0.54 % (21710)------------------------------
% 0.19/0.54 % (21710)------------------------------
% 0.19/0.54 % (21703)Instruction limit reached!
% 0.19/0.54 % (21703)------------------------------
% 0.19/0.54 % (21703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21703)Termination reason: Unknown
% 0.19/0.54 % (21703)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (21703)Memory used [KB]: 5884
% 0.19/0.54 % (21703)Time elapsed: 0.138 s
% 0.19/0.54 % (21703)Instructions burned: 3 (million)
% 0.19/0.54 % (21703)------------------------------
% 0.19/0.54 % (21703)------------------------------
% 0.19/0.54 % (21714)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.54 % (21695)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)
% 1.56/0.55 % (21708)Refutation not found, incomplete strategy% (21708)------------------------------
% 1.56/0.55 % (21708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (21708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (21708)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55
% 1.56/0.55 % (21708)Memory used [KB]: 5884
% 1.56/0.55 % (21708)Time elapsed: 0.153 s
% 1.56/0.55 % (21708)Instructions burned: 3 (million)
% 1.56/0.55 % (21708)------------------------------
% 1.56/0.55 % (21708)------------------------------
% 1.56/0.55 % (21700)Instruction limit reached!
% 1.56/0.55 % (21700)------------------------------
% 1.56/0.55 % (21700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (21700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (21700)Termination reason: Unknown
% 1.56/0.55 % (21700)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (21700)Memory used [KB]: 1663
% 1.56/0.55 % (21700)Time elapsed: 0.113 s
% 1.56/0.55 % (21700)Instructions burned: 30 (million)
% 1.56/0.55 % (21700)------------------------------
% 1.56/0.55 % (21700)------------------------------
% 1.56/0.55 % (21707)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)
% 1.56/0.55 % (21707)Instruction limit reached!
% 1.56/0.55 % (21707)------------------------------
% 1.56/0.55 % (21707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (21707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (21707)Termination reason: Unknown
% 1.56/0.55 % (21707)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (21707)Memory used [KB]: 1407
% 1.56/0.55 % (21707)Time elapsed: 0.146 s
% 1.56/0.55 % (21707)Instructions burned: 7 (million)
% 1.56/0.55 % (21707)------------------------------
% 1.56/0.55 % (21707)------------------------------
% 1.56/0.55 % (21706)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)
% 1.56/0.55 % (21713)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.56/0.56 % (21706)Instruction limit reached!
% 1.56/0.56 % (21706)------------------------------
% 1.56/0.56 % (21706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21706)Termination reason: Unknown
% 1.56/0.56 % (21706)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21706)Memory used [KB]: 6012
% 1.56/0.56 % (21706)Time elapsed: 0.161 s
% 1.56/0.56 % (21706)Instructions burned: 7 (million)
% 1.56/0.56 % (21706)------------------------------
% 1.56/0.56 % (21706)------------------------------
% 1.56/0.56 % (21715)Instruction limit reached!
% 1.56/0.56 % (21715)------------------------------
% 1.56/0.56 % (21715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21715)Termination reason: Unknown
% 1.56/0.56 % (21715)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21715)Memory used [KB]: 6268
% 1.56/0.56 % (21715)Time elapsed: 0.150 s
% 1.56/0.56 % (21715)Instructions burned: 21 (million)
% 1.56/0.56 % (21715)------------------------------
% 1.56/0.56 % (21715)------------------------------
% 1.56/0.56 % (21704)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.56/0.56 % (21697)Instruction limit reached!
% 1.56/0.56 % (21697)------------------------------
% 1.56/0.56 % (21697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21697)Termination reason: Unknown
% 1.56/0.56 % (21697)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21697)Memory used [KB]: 6396
% 1.56/0.56 % (21697)Time elapsed: 0.155 s
% 1.56/0.56 % (21697)Instructions burned: 24 (million)
% 1.56/0.56 % (21697)------------------------------
% 1.56/0.56 % (21697)------------------------------
% 1.56/0.56 % (21704)Instruction limit reached!
% 1.56/0.56 % (21704)------------------------------
% 1.56/0.56 % (21704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21704)Termination reason: Unknown
% 1.56/0.56 % (21704)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21704)Memory used [KB]: 6012
% 1.56/0.56 % (21704)Time elapsed: 0.160 s
% 1.56/0.56 % (21704)Instructions burned: 8 (million)
% 1.56/0.56 % (21704)------------------------------
% 1.56/0.56 % (21704)------------------------------
% 1.68/0.56 % (21690)Instruction limit reached!
% 1.68/0.56 % (21690)------------------------------
% 1.68/0.56 % (21690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56 % (21690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56 % (21690)Termination reason: Unknown
% 1.68/0.56 % (21690)Termination phase: Saturation
% 1.68/0.56
% 1.68/0.56 % (21690)Memory used [KB]: 6396
% 1.68/0.56 % (21690)Time elapsed: 0.160 s
% 1.68/0.56 % (21690)Instructions burned: 34 (million)
% 1.68/0.56 % (21690)------------------------------
% 1.68/0.56 % (21690)------------------------------
% 1.68/0.56 % (21694)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.68/0.56 % (21694)Instruction limit reached!
% 1.68/0.56 % (21694)------------------------------
% 1.68/0.56 % (21694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56 % (21694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56 % (21694)Termination reason: Unknown
% 1.68/0.56 % (21694)Termination phase: Saturation
% 1.68/0.56
% 1.68/0.56 % (21694)Memory used [KB]: 5884
% 1.68/0.56 % (21694)Time elapsed: 0.004 s
% 1.68/0.56 % (21694)Instructions burned: 3 (million)
% 1.68/0.56 % (21694)------------------------------
% 1.68/0.56 % (21694)------------------------------
% 1.68/0.57 % (21691)Instruction limit reached!
% 1.68/0.57 % (21691)------------------------------
% 1.68/0.57 % (21691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 % (21691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (21691)Termination reason: Unknown
% 1.68/0.57 % (21691)Termination phase: Saturation
% 1.68/0.57
% 1.68/0.57 % (21691)Memory used [KB]: 6140
% 1.68/0.57 % (21691)Time elapsed: 0.152 s
% 1.68/0.57 % (21691)Instructions burned: 25 (million)
% 1.68/0.57 % (21691)------------------------------
% 1.68/0.57 % (21691)------------------------------
% 1.68/0.58 % (21692)Instruction limit reached!
% 1.68/0.58 % (21692)------------------------------
% 1.68/0.58 % (21692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (21692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (21692)Termination reason: Unknown
% 1.68/0.58 % (21692)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (21692)Memory used [KB]: 1535
% 1.68/0.58 % (21692)Time elapsed: 0.146 s
% 1.68/0.58 % (21692)Instructions burned: 50 (million)
% 1.68/0.58 % (21692)------------------------------
% 1.68/0.58 % (21692)------------------------------
% 1.68/0.58 % (21693)Instruction limit reached!
% 1.68/0.58 % (21693)------------------------------
% 1.68/0.58 % (21693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (21693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (21693)Termination reason: Unknown
% 1.68/0.58 % (21693)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (21693)Memory used [KB]: 6780
% 1.68/0.58 % (21693)Time elapsed: 0.168 s
% 1.68/0.58 % (21693)Instructions burned: 51 (million)
% 1.68/0.58 % (21693)------------------------------
% 1.68/0.58 % (21693)------------------------------
% 1.68/0.59 % (21687)Instruction limit reached!
% 1.68/0.59 % (21687)------------------------------
% 1.68/0.59 % (21687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (21687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (21687)Termination reason: Unknown
% 1.68/0.59 % (21687)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (21687)Memory used [KB]: 1663
% 1.68/0.59 % (21687)Time elapsed: 0.189 s
% 1.68/0.59 % (21687)Instructions burned: 43 (million)
% 1.68/0.59 % (21687)------------------------------
% 1.68/0.59 % (21687)------------------------------
% 1.68/0.61 % (21711)Instruction limit reached!
% 1.68/0.61 % (21711)------------------------------
% 1.68/0.61 % (21711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.61 % (21711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.61 % (21711)Termination reason: Unknown
% 1.68/0.61 % (21711)Termination phase: Saturation
% 1.68/0.61
% 1.68/0.61 % (21711)Memory used [KB]: 6780
% 1.68/0.61 % (21711)Time elapsed: 0.212 s
% 1.68/0.61 % (21711)Instructions burned: 47 (million)
% 1.68/0.61 % (21711)------------------------------
% 1.68/0.61 % (21711)------------------------------
% 1.68/0.62 % (21686)First to succeed.
% 1.68/0.62 % (21686)Refutation found. Thanks to Tanya!
% 1.68/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.63 % (21686)------------------------------
% 1.68/0.63 % (21686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63 % (21686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63 % (21686)Termination reason: Refutation
% 1.68/0.63
% 1.68/0.63 % (21686)Memory used [KB]: 6524
% 1.68/0.63 % (21686)Time elapsed: 0.214 s
% 1.68/0.63 % (21686)Instructions burned: 52 (million)
% 1.68/0.63 % (21686)------------------------------
% 1.68/0.63 % (21686)------------------------------
% 1.68/0.63 % (21685)Success in time 0.262 s
%------------------------------------------------------------------------------