TSTP Solution File: GRP382-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP382-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:29 EDT 2022
% Result : Unsatisfiable 2.18s 0.66s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 88
% Syntax : Number of formulae : 474 ( 11 unt; 0 def)
% Number of atoms : 2648 ( 585 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 4284 (2110 ~;2152 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 150 ( 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1428,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f95,f104,f105,f110,f119,f124,f129,f130,f135,f140,f141,f147,f148,f153,f154,f155,f160,f163,f164,f165,f166,f168,f170,f186,f187,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f373,f392,f398,f412,f420,f559,f694,f1019,f1176,f1301,f1317,f1330,f1351,f1400,f1427]) ).
fof(f1427,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1423]) ).
fof(f1423,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f1420,f1289]) ).
fof(f1289,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1223,f1279]) ).
fof(f1279,plain,
( sk_c12 = sk_c11
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1278,f1223]) ).
fof(f1278,plain,
( sk_c12 = inverse(sk_c11)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1230,f1276]) ).
fof(f1276,plain,
( sk_c11 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1251,f1272]) ).
fof(f1272,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1271,f1269]) ).
fof(f1269,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1242,f1263]) ).
fof(f1263,plain,
( sk_c12 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1262,f1245]) ).
fof(f1245,plain,
( sk_c4 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1238,f1241]) ).
fof(f1241,plain,
( sk_c4 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1237,f1092]) ).
fof(f1092,plain,
( inverse(sk_c12) = sk_c4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1090,f873]) ).
fof(f873,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f295,f867]) ).
fof(f867,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f863,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f863,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f257,f774]) ).
fof(f774,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f771,f192]) ).
fof(f192,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl0_22
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f771,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f257,f103]) ).
fof(f103,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_6
<=> multiply(sk_c5,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f257,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f255,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f255,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f295,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f263,f264]) ).
fof(f264,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f257,f257]) ).
fof(f263,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f257,f2]) ).
fof(f1090,plain,
( sk_c4 = multiply(inverse(sk_c12),sk_c10)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(superposition,[],[f257,f878]) ).
fof(f878,plain,
( sk_c10 = multiply(sk_c12,sk_c4)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(superposition,[],[f869,f109]) ).
fof(f109,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_7
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f869,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f2,f867]) ).
fof(f1237,plain,
( inverse(sk_c12) = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f933,f1228]) ).
fof(f1228,plain,
( sk_c12 = sk_c9
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f81,f1222]) ).
fof(f1222,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f873,f1219]) ).
fof(f1219,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f103,f1218]) ).
fof(f1218,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f730,f1212]) ).
fof(f1212,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1211,f960]) ).
fof(f960,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl0_10
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1211,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(superposition,[],[f257,f1092]) ).
fof(f730,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl0_22 ),
inference(superposition,[],[f257,f192]) ).
fof(f81,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_1
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f933,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f118,f930]) ).
fof(f930,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f929,f873]) ).
fof(f929,plain,
( sk_c9 = multiply(sk_c8,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f928,f894]) ).
fof(f894,plain,
( sk_c10 = multiply(sk_c9,sk_c7)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f869,f159]) ).
fof(f159,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_16
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f928,plain,
( sk_c9 = multiply(sk_c8,multiply(sk_c9,sk_c7))
| ~ spl0_4
| ~ spl0_9 ),
inference(backward_demodulation,[],[f924,f923]) ).
fof(f923,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f94]) ).
fof(f94,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f924,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f922,f118]) ).
fof(f922,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f257,f94]) ).
fof(f118,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_9
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1238,plain,
( sk_c7 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f934,f1228]) ).
fof(f934,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f94,f930]) ).
fof(f1262,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1260,f1230]) ).
fof(f1260,plain,
( sk_c12 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f257,f1231]) ).
fof(f1231,plain,
( sk_c12 = multiply(sk_c6,sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_22 ),
inference(backward_demodulation,[],[f152,f1228]) ).
fof(f152,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_15
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1242,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1236,f1241]) ).
fof(f1236,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f932,f1228]) ).
fof(f932,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f923,f930]) ).
fof(f1271,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1235,f1269]) ).
fof(f1235,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X0))) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f931,f1228]) ).
fof(f931,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,multiply(sk_c9,X0))) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f926,f930]) ).
fof(f926,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,multiply(sk_c8,X0))) = X0
| ~ spl0_4
| ~ spl0_9 ),
inference(backward_demodulation,[],[f439,f923]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_9 ),
inference(superposition,[],[f257,f118]) ).
fof(f1251,plain,
( sk_c11 = multiply(sk_c12,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1225,f1228]) ).
fof(f1225,plain,
( sk_c11 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f879,f1219]) ).
fof(f879,plain,
( sk_c10 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f869,f145]) ).
fof(f145,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_14
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1230,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f145,f1228]) ).
fof(f1223,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f874,f1219]) ).
fof(f874,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f727,f867]) ).
fof(f727,plain,
identity = inverse(identity),
inference(superposition,[],[f295,f261]) ).
fof(f261,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f257,f1]) ).
fof(f1420,plain,
( ! [X4] : sk_c12 != inverse(X4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1419]) ).
fof(f1419,plain,
( ! [X4] :
( sk_c12 != sk_c12
| sk_c12 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1403,f1411]) ).
fof(f1411,plain,
( ! [X2] : sk_c12 = multiply(X2,inverse(X2))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f1287,f264]) ).
fof(f1287,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1221,f1279]) ).
fof(f1221,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f869,f1219]) ).
fof(f1403,plain,
( ! [X4] :
( sk_c12 != inverse(X4)
| sk_c12 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1402,f1279]) ).
fof(f1402,plain,
( ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c12 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1401,f1279]) ).
fof(f1401,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f182,f1288]) ).
fof(f1288,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1222,f1279]) ).
fof(f182,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl0_20
<=> ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1400,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1399,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1398]) ).
fof(f1398,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1397,f1272]) ).
fof(f1397,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1396]) ).
fof(f1396,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1395,f1289]) ).
fof(f1395,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1394,f1289]) ).
fof(f1394,plain,
( sk_c12 != inverse(inverse(sk_c12))
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1391]) ).
fof(f1391,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != inverse(inverse(sk_c12))
| sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f1361,f1289]) ).
fof(f1361,plain,
( ! [X3] :
( sk_c12 != inverse(inverse(inverse(X3)))
| sk_c12 != multiply(X3,inverse(X3))
| sk_c12 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1360]) ).
fof(f1360,plain,
( ! [X3] :
( sk_c12 != multiply(X3,inverse(X3))
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X3)
| sk_c12 != inverse(inverse(inverse(X3))) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1357,f1289]) ).
fof(f1357,plain,
( ! [X3] :
( sk_c12 != inverse(inverse(inverse(X3)))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X3,inverse(X3))
| inverse(sk_c12) != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f1353,f1287]) ).
fof(f1353,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != inverse(X8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1352,f1288]) ).
fof(f1352,plain,
( ! [X10,X8] :
( sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(inverse(X8),sk_c12) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f176,f1279]) ).
fof(f176,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl0_18
<=> ! [X8,X10] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1351,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1350,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1349]) ).
fof(f1349,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1347]) ).
fof(f1347,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1335,f1289]) ).
fof(f1335,plain,
( ! [X7] :
( sk_c12 != inverse(X7)
| sk_c12 != X7 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1334,f1285]) ).
fof(f1285,plain,
( sk_c12 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1219,f1279]) ).
fof(f1334,plain,
( ! [X7] :
( sk_c10 != X7
| sk_c12 != inverse(X7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1333,f1288]) ).
fof(f1333,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c12)
| sk_c12 != inverse(X7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1332,f1279]) ).
fof(f1332,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f185,f1279]) ).
fof(f185,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_21
<=> ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1330,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1329]) ).
fof(f1329,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1328]) ).
fof(f1328,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1327]) ).
fof(f1327,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f1320,f1289]) ).
fof(f1320,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1319,f1288]) ).
fof(f1319,plain,
( ! [X3] :
( sk_c12 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f173,f1279]) ).
fof(f173,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(X3,sk_c11) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl0_17
<=> ! [X3] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c12 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1317,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1315]) ).
fof(f1315,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1312]) ).
fof(f1312,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1295,f1289]) ).
fof(f1295,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1282,f1288]) ).
fof(f1282,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c12) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(backward_demodulation,[],[f179,f1279]) ).
fof(f179,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_19
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1301,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1299]) ).
fof(f1299,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1266,f1279]) ).
fof(f1266,plain,
( sk_c12 != sk_c11
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1208,f1263]) ).
fof(f1208,plain,
( sk_c11 != sk_c4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_22 ),
inference(backward_demodulation,[],[f98,f1092]) ).
fof(f98,plain,
( inverse(sk_c12) != sk_c11
| spl0_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_5
<=> inverse(sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1176,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1170]) ).
fof(f1170,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1142,f1165]) ).
fof(f1165,plain,
( sk_c12 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1164,f1146]) ).
fof(f1146,plain,
( sk_c4 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1128,f1143]) ).
fof(f1143,plain,
( sk_c4 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1098,f1127]) ).
fof(f1127,plain,
( inverse(sk_c12) = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f933,f1118]) ).
fof(f1118,plain,
( sk_c12 = sk_c9
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f81,f1107]) ).
fof(f1107,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f873,f1102]) ).
fof(f1102,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1100,f123]) ).
fof(f1100,plain,
( multiply(sk_c4,sk_c12) = sk_c10
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1088,f1093]) ).
fof(f1093,plain,
( sk_c4 = sk_c1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1092,f1075]) ).
fof(f1075,plain,
( inverse(sk_c12) = sk_c1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1072,f873]) ).
fof(f1072,plain,
( sk_c1 = multiply(inverse(sk_c12),sk_c10)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f257,f872]) ).
fof(f872,plain,
( sk_c10 = multiply(sk_c12,sk_c1)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f254,f867]) ).
fof(f254,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_11 ),
inference(superposition,[],[f2,f128]) ).
fof(f128,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_11
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1088,plain,
( sk_c10 = multiply(sk_c1,sk_c12)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f869,f1075]) ).
fof(f1098,plain,
( inverse(sk_c12) = sk_c4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1075,f1093]) ).
fof(f1128,plain,
( sk_c7 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22 ),
inference(backward_demodulation,[],[f934,f1118]) ).
fof(f1164,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1162,f1119]) ).
fof(f1119,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f145,f1118]) ).
fof(f1162,plain,
( sk_c12 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f257,f1120]) ).
fof(f1120,plain,
( sk_c12 = multiply(sk_c6,sk_c12)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_22 ),
inference(backward_demodulation,[],[f152,f1118]) ).
fof(f1142,plain,
( sk_c12 != sk_c4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1095,f1107]) ).
fof(f1095,plain,
( sk_c12 != multiply(sk_c4,sk_c11)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12
| ~ spl0_22 ),
inference(backward_demodulation,[],[f133,f1093]) ).
fof(f133,plain,
( sk_c12 != multiply(sk_c1,sk_c11)
| spl0_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_12
<=> sk_c12 = multiply(sk_c1,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1019,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1013]) ).
fof(f1013,plain,
( sk_c12 != sk_c12
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f851,f1011]) ).
fof(f1011,plain,
( sk_c12 = sk_c11
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1010,f99]) ).
fof(f99,plain,
( inverse(sk_c12) = sk_c11
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f1010,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f983,f1002]) ).
fof(f1002,plain,
( sk_c12 = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f994,f996]) ).
fof(f996,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f987,f907]) ).
fof(f907,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f875,f905]) ).
fof(f905,plain,
( sk_c12 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f898,f873]) ).
fof(f898,plain,
( sk_c12 = multiply(sk_c5,sk_c10)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f875,f871]) ).
fof(f871,plain,
( sk_c10 = multiply(sk_c11,sk_c12)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f253,f867]) ).
fof(f253,plain,
( identity = multiply(sk_c11,sk_c12)
| ~ spl0_5 ),
inference(superposition,[],[f2,f99]) ).
fof(f875,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f868,f772]) ).
fof(f772,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f103]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1,f867]) ).
fof(f987,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f733,f978]) ).
fof(f978,plain,
( sk_c12 = sk_c9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f904,f968]) ).
fof(f968,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(backward_demodulation,[],[f873,f962]) ).
fof(f962,plain,
( sk_c12 = sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f961,f908]) ).
fof(f908,plain,
( sk_c10 = multiply(sk_c12,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(backward_demodulation,[],[f103,f905]) ).
fof(f961,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f959,f109]) ).
fof(f959,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c11)
| ~ spl0_10 ),
inference(superposition,[],[f257,f123]) ).
fof(f904,plain,
( sk_c9 = multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f899,f873]) ).
fof(f899,plain,
( multiply(sk_c12,sk_c12) = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f733,f871]) ).
fof(f733,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f81]) ).
fof(f994,plain,
( sk_c12 = multiply(sk_c12,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f972,f978]) ).
fof(f972,plain,
( sk_c12 = multiply(sk_c9,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f879,f962]) ).
fof(f983,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f145,f978]) ).
fof(f851,plain,
( sk_c12 != sk_c11
| ~ spl0_6
| spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f138,f774]) ).
fof(f138,plain,
( sk_c12 != multiply(sk_c11,sk_c10)
| spl0_13 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_13
<=> sk_c12 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f694,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f692]) ).
fof(f692,plain,
( sk_c12 != sk_c12
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f690]) ).
fof(f690,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f641,f615]) ).
fof(f615,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f99,f612]) ).
fof(f612,plain,
( sk_c12 = sk_c11
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f611,f295]) ).
fof(f611,plain,
( sk_c11 = multiply(sk_c12,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f610,f422]) ).
fof(f422,plain,
( identity = multiply(sk_c12,sk_c11)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f281,f421]) ).
fof(f421,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f266,f128]) ).
fof(f266,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c12)
| ~ spl0_12 ),
inference(superposition,[],[f257,f134]) ).
fof(f134,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f281,plain,
( identity = multiply(sk_c12,multiply(sk_c12,sk_c12))
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f253,f274]) ).
fof(f274,plain,
( ! [X7] : multiply(sk_c11,X7) = multiply(sk_c12,multiply(sk_c12,X7))
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f128]) ).
fof(f267,plain,
( ! [X7] : multiply(sk_c11,X7) = multiply(inverse(sk_c1),multiply(sk_c12,X7))
| ~ spl0_12 ),
inference(superposition,[],[f257,f241]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f134]) ).
fof(f610,plain,
( sk_c11 = multiply(sk_c12,multiply(sk_c12,sk_c11))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f609,f274]) ).
fof(f609,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f607,f192]) ).
fof(f607,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f257,f599]) ).
fof(f599,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f103,f597]) ).
fof(f597,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f596,f421]) ).
fof(f596,plain,
( sk_c10 = multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f265,f587]) ).
fof(f587,plain,
( sk_c12 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f128,f583]) ).
fof(f583,plain,
( sk_c11 = sk_c1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f582,f295]) ).
fof(f582,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f579,f422]) ).
fof(f579,plain,
( sk_c11 = multiply(sk_c1,multiply(sk_c12,sk_c11))
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f277,f421]) ).
fof(f277,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c1,multiply(sk_c12,multiply(sk_c12,X0)))
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f241,f274]) ).
fof(f265,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c12)
| ~ spl0_13 ),
inference(superposition,[],[f257,f139]) ).
fof(f139,plain,
( sk_c12 = multiply(sk_c11,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f641,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f618,f638]) ).
fof(f638,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f295,f633]) ).
fof(f633,plain,
( identity = sk_c12
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f622,f629]) ).
fof(f629,plain,
( ! [X1] : multiply(sk_c12,X1) = X1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f627,f620]) ).
fof(f620,plain,
( ! [X7] : multiply(sk_c12,multiply(sk_c12,X7)) = multiply(sk_c12,X7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f274,f612]) ).
fof(f627,plain,
( ! [X1] : multiply(sk_c12,multiply(sk_c12,X1)) = X1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f423,f620]) ).
fof(f423,plain,
( ! [X1] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X1))) = X1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f259,f274]) ).
fof(f259,plain,
( ! [X1] : multiply(sk_c11,multiply(sk_c12,X1)) = X1
| ~ spl0_5 ),
inference(superposition,[],[f257,f99]) ).
fof(f622,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f422,f612]) ).
fof(f618,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c12) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(backward_demodulation,[],[f179,f612]) ).
fof(f559,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f557]) ).
fof(f557,plain,
( sk_c12 != sk_c12
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f514,f515]) ).
fof(f515,plain,
( identity = sk_c12
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f509,f508]) ).
fof(f508,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f421,f500]) ).
fof(f500,plain,
( sk_c12 = sk_c11
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f499,f295]) ).
fof(f499,plain,
( sk_c11 = multiply(sk_c12,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f498,f422]) ).
fof(f498,plain,
( sk_c11 = multiply(sk_c12,multiply(sk_c12,sk_c11))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f497,f274]) ).
fof(f497,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f494,f192]) ).
fof(f494,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f257,f484]) ).
fof(f484,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f103,f482]) ).
fof(f482,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f481,f421]) ).
fof(f481,plain,
( sk_c10 = multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f265,f479]) ).
fof(f479,plain,
( sk_c12 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f454,f475]) ).
fof(f475,plain,
( sk_c11 = sk_c2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f474,f99]) ).
fof(f474,plain,
( inverse(sk_c12) = sk_c2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f470,f295]) ).
fof(f470,plain,
( sk_c2 = multiply(inverse(sk_c12),identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f257,f456]) ).
fof(f456,plain,
( identity = multiply(sk_c12,sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f252,f452]) ).
fof(f452,plain,
( sk_c12 = sk_c3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f451,f295]) ).
fof(f451,plain,
( sk_c12 = multiply(sk_c3,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f448,f295]) ).
fof(f448,plain,
( multiply(sk_c3,identity) = multiply(sk_c12,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f278,f422]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c12,X0)) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f240,f274]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_8 ),
inference(superposition,[],[f3,f114]) ).
fof(f114,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c3,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f252,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_3
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f454,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f90,f452]) ).
fof(f509,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f422,f500]) ).
fof(f514,plain,
( identity != sk_c12
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f489,f500]) ).
fof(f489,plain,
( identity != sk_c11
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f488,f422]) ).
fof(f488,plain,
( sk_c11 != multiply(sk_c12,sk_c11)
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f487,f421]) ).
fof(f487,plain,
( sk_c11 != multiply(sk_c12,multiply(sk_c12,sk_c12))
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f476,f274]) ).
fof(f476,plain,
( sk_c11 != multiply(sk_c11,sk_c12)
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f453,f475]) ).
fof(f453,plain,
( sk_c11 != multiply(sk_c2,sk_c12)
| spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f84,f452]) ).
fof(f84,plain,
( sk_c11 != multiply(sk_c2,sk_c3)
| spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_2
<=> sk_c11 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f420,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f418]) ).
fof(f418,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f417,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f416,f298]) ).
fof(f298,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f99,f296]) ).
fof(f296,plain,
( sk_c12 = sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f290,f295]) ).
fof(f290,plain,
( sk_c11 = multiply(sk_c12,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f287,f281]) ).
fof(f287,plain,
( sk_c11 = multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,sk_c12)))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f114,f284]) ).
fof(f284,plain,
( ! [X8] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X8))) = multiply(sk_c3,X8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f275,f278]) ).
fof(f275,plain,
( ! [X8] : multiply(sk_c3,multiply(sk_c12,multiply(sk_c12,X8))) = multiply(sk_c3,X8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f273,f274]) ).
fof(f273,plain,
( ! [X8] : multiply(sk_c3,X8) = multiply(sk_c3,multiply(sk_c11,X8))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f269,f90]) ).
fof(f269,plain,
( ! [X8] : multiply(inverse(sk_c2),multiply(sk_c11,X8)) = multiply(sk_c3,X8)
| ~ spl0_2 ),
inference(superposition,[],[f257,f235]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f85]) ).
fof(f85,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f416,plain,
( ! [X7] :
( sk_c12 != inverse(X7)
| sk_c12 != X7 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f415,f330]) ).
fof(f330,plain,
( sk_c12 = sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f312,f317]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f1,f316]) ).
fof(f316,plain,
( identity = sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f315,f313]) ).
fof(f313,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f282,f312]) ).
fof(f282,plain,
( sk_c12 = multiply(sk_c12,multiply(sk_c12,sk_c10))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f139,f274]) ).
fof(f315,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f281,f313]) ).
fof(f312,plain,
( sk_c12 = multiply(sk_c12,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f299,f247]) ).
fof(f247,plain,
( multiply(sk_c1,sk_c12) = multiply(sk_c12,sk_c10)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f241,f139]) ).
fof(f299,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f134,f296]) ).
fof(f415,plain,
( ! [X7] :
( sk_c10 != X7
| sk_c12 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f414,f321]) ).
fof(f321,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f295,f316]) ).
fof(f414,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c12)
| sk_c12 != inverse(X7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f413,f296]) ).
fof(f413,plain,
( ! [X7] :
( sk_c12 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f185,f296]) ).
fof(f412,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f410]) ).
fof(f410,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f405,f298]) ).
fof(f405,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f404,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != inverse(sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f401,f317]) ).
fof(f401,plain,
( ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f400,f296]) ).
fof(f400,plain,
( ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f399,f296]) ).
fof(f399,plain,
( ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f182,f321]) ).
fof(f398,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f396]) ).
fof(f396,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f395,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f394,f298]) ).
fof(f394,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f393,f296]) ).
fof(f393,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c11 != X6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f179,f321]) ).
fof(f392,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f390]) ).
fof(f390,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f389,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f388,f298]) ).
fof(f388,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != X0
| sk_c12 != sk_c12 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f386,f317]) ).
fof(f386,plain,
( ! [X0] :
( inverse(X0) != X0
| inverse(X0) != sk_c12
| sk_c12 != multiply(sk_c12,sk_c12) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f385,f321]) ).
fof(f385,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c12) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f380,f321]) ).
fof(f380,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c12) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f376]) ).
fof(f376,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != sk_c12
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f375,f298]) ).
fof(f375,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != inverse(X8)
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f374,f321]) ).
fof(f374,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c12)
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f176,f296]) ).
fof(f373,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f371]) ).
fof(f371,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f337,f298]) ).
fof(f337,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != X3 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(backward_demodulation,[],[f300,f321]) ).
fof(f300,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(X3,sk_c12) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f173,f296]) ).
fof(f231,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f157,f83]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f230,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f68,f150,f112]) ).
fof(f68,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
fof(f229,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f55,f107,f88]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f228,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f59,f143,f88]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f227,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f33,f92,f126]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f226,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f101,f83]) ).
fof(f46,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f225,plain,
( spl0_16
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f132,f157]) ).
fof(f42,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f224,plain,
( spl0_2
| spl0_22 ),
inference(avatar_split_clause,[],[f47,f190,f83]) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f223,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f62,f88,f157]) ).
fof(f62,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f222,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f51,f116,f83]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f221,plain,
( spl0_22
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f137,f190]) ).
fof(f17,axiom,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f220,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f60,f88,f79]) ).
fof(f60,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f219,plain,
( spl0_22
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f132,f190]) ).
fof(f37,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f218,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f65,f112,f107]) ).
fof(f65,axiom,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f217,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f132,f116]) ).
fof(f41,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f216,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f61,f88,f116]) ).
fof(f61,axiom,
( sk_c3 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f215,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f137,f107]) ).
fof(f15,axiom,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f214,plain,
( spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f132,f143]) ).
fof(f39,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f211,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f16,f137,f101]) ).
fof(f16,axiom,
( sk_c12 = multiply(sk_c11,sk_c10)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f210,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f126,f79]) ).
fof(f30,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f209,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f121,f97]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f208,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f150,f132]) ).
fof(f38,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f207,plain,
( spl0_14
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f137,f143]) ).
fof(f19,axiom,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f206,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f70,f79,f112]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f205,plain,
( spl0_22
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f97,f190]) ).
fof(f7,axiom,
( inverse(sk_c12) = sk_c11
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f204,plain,
( spl0_22
| spl0_8 ),
inference(avatar_split_clause,[],[f67,f112,f190]) ).
fof(f67,axiom,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f203,plain,
( spl0_11
| spl0_22 ),
inference(avatar_split_clause,[],[f27,f190,f126]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f202,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f73,f92,f112]) ).
fof(f73,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_70) ).
fof(f201,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f143,f126]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f200,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f72,f157,f112]) ).
fof(f72,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).
fof(f199,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f126,f121]) ).
fof(f24,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f198,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f132,f101]) ).
fof(f36,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f197,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f31,f116,f126]) ).
fof(f31,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f196,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f58,f150,f88]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f195,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f92,f97]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f194,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f143,f97]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f193,plain,
( spl0_22
| spl0_3 ),
inference(avatar_split_clause,[],[f57,f88,f190]) ).
fof(f57,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f187,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f157,f126]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f186,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f77,f184,f181,f178,f175,f172,f97,f137]) ).
fof(f77,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6)
| sk_c11 != multiply(inverse(X4),sk_c12)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X3,sk_c11)
| sk_c11 != inverse(X7)
| inverse(sk_c12) != sk_c11
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != multiply(sk_c11,sk_c10) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != multiply(X4,X5)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(sk_c12) != sk_c11
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(X5,sk_c12)
| inverse(X4) != X5 ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != multiply(X4,X5)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,X9)
| inverse(sk_c12) != sk_c11
| inverse(X8) != X9
| inverse(multiply(X10,X9)) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X9,sk_c11)
| inverse(X10) != multiply(X10,X9)
| sk_c12 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(X5,sk_c12)
| inverse(X4) != X5 ),
inference(equality_resolution,[],[f74]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != multiply(X4,X5)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| multiply(X10,X9) != X11
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,X9)
| inverse(sk_c12) != sk_c11
| inverse(X8) != X9
| inverse(X11) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X9,sk_c11)
| inverse(X10) != X11
| sk_c12 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(X5,sk_c12)
| inverse(X4) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
fof(f170,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f11,f97,f116]) ).
fof(f11,axiom,
( inverse(sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f168,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f34,f121,f132]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f166,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f92,f132]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f165,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f25,f107,f126]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f164,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f54,f88,f121]) ).
fof(f54,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f163,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f69,f143,f112]) ).
fof(f69,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
fof(f160,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f97,f157]) ).
fof(f12,axiom,
( inverse(sk_c12) = sk_c11
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f155,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f97,f150]) ).
fof(f8,axiom,
( inverse(sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f154,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f132,f79]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f153,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f150,f126]) ).
fof(f28,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f148,plain,
( spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f20,f79,f137]) ).
fof(f20,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = multiply(sk_c11,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f147,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f64,f121,f112]) ).
fof(f64,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f141,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f56,f88,f101]) ).
fof(f56,axiom,
( sk_c3 = inverse(sk_c2)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f140,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f14,f137,f121]) ).
fof(f14,axiom,
( sk_c12 = multiply(sk_c11,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f135,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f132,f107]) ).
fof(f35,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f130,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f66,f101,f112]) ).
fof(f66,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).
fof(f129,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f126,f101]) ).
fof(f26,axiom,
( sk_c12 = inverse(sk_c1)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f124,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f83,f121]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f119,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f71,f116,f112]) ).
fof(f71,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f110,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f5,f97,f107]) ).
fof(f5,axiom,
( inverse(sk_c12) = sk_c11
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f105,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f10,f79,f97]) ).
fof(f10,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f104,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f101,f97]) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f95,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f63,f92,f88]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f86,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f50,f83,f79]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP382-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 22:23:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.25/0.52 % (8778)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52 % (8794)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.25/0.52 % (8777)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.25/0.53 TRYING [1]
% 1.25/0.53 TRYING [2]
% 1.41/0.53 % (8784)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.53 % (8786)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.41/0.53 % (8783)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.53 % (8781)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (8785)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54 % (8793)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.54 % (8776)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54 % (8799)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.54 TRYING [3]
% 1.41/0.54 % (8782)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.54 % (8775)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55 % (8773)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55 % (8780)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.55 % (8772)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.41/0.55 % (8792)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.55 % (8787)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.55 % (8774)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.55 TRYING [1]
% 1.41/0.55 TRYING [2]
% 1.41/0.55 % (8798)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.41/0.55 % (8791)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.56 % (8796)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.56 % (8788)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.56 % (8801)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.41/0.56 % (8780)Instruction limit reached!
% 1.41/0.56 % (8780)------------------------------
% 1.41/0.56 % (8780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (8780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (8780)Termination reason: Unknown
% 1.41/0.56 % (8780)Termination phase: Property scanning
% 1.41/0.56
% 1.41/0.56 % (8780)Memory used [KB]: 895
% 1.41/0.56 % (8780)Time elapsed: 0.002 s
% 1.41/0.56 % (8780)Instructions burned: 2 (million)
% 1.41/0.56 % (8780)------------------------------
% 1.41/0.56 % (8780)------------------------------
% 1.41/0.57 % (8797)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.57 TRYING [4]
% 1.41/0.57 % (8795)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.41/0.57 % (8778)Instruction limit reached!
% 1.41/0.57 % (8778)------------------------------
% 1.41/0.57 % (8778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (8778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (8778)Termination reason: Unknown
% 1.41/0.57 % (8778)Termination phase: Finite model building constraint generation
% 1.41/0.57
% 1.41/0.57 % (8778)Memory used [KB]: 6908
% 1.41/0.57 % (8778)Time elapsed: 0.166 s
% 1.41/0.57 % (8778)Instructions burned: 53 (million)
% 1.41/0.57 % (8778)------------------------------
% 1.41/0.57 % (8778)------------------------------
% 1.41/0.57 TRYING [3]
% 1.41/0.58 % (8789)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.58 TRYING [1]
% 1.41/0.58 % (8779)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.59 % (8790)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.59 % (8800)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.60 % (8779)Instruction limit reached!
% 1.41/0.60 % (8779)------------------------------
% 1.41/0.60 % (8779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60 TRYING [2]
% 1.41/0.60 % (8779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (8779)Termination reason: Unknown
% 1.41/0.60 % (8779)Termination phase: Saturation
% 1.41/0.60
% 1.41/0.60 % (8779)Memory used [KB]: 5628
% 1.41/0.60 % (8779)Time elapsed: 0.116 s
% 1.41/0.60 % (8779)Instructions burned: 7 (million)
% 1.41/0.60 % (8779)------------------------------
% 1.41/0.60 % (8779)------------------------------
% 1.41/0.60 TRYING [3]
% 1.41/0.60 TRYING [4]
% 1.41/0.61 % (8774)Instruction limit reached!
% 1.41/0.61 % (8774)------------------------------
% 1.41/0.61 % (8774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61 % (8774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61 % (8774)Termination reason: Unknown
% 1.41/0.61 % (8774)Termination phase: Saturation
% 1.41/0.61
% 1.41/0.61 % (8774)Memory used [KB]: 1151
% 1.41/0.61 % (8774)Time elapsed: 0.209 s
% 1.41/0.61 % (8774)Instructions burned: 37 (million)
% 1.41/0.61 % (8774)------------------------------
% 1.41/0.61 % (8774)------------------------------
% 1.41/0.61 % (8786)Instruction limit reached!
% 1.41/0.61 % (8786)------------------------------
% 1.41/0.61 % (8786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61 % (8786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61 % (8786)Termination reason: Unknown
% 1.41/0.61 % (8786)Termination phase: Saturation
% 1.41/0.61
% 1.41/0.61 % (8786)Memory used [KB]: 6396
% 1.41/0.61 % (8786)Time elapsed: 0.038 s
% 1.41/0.61 % (8786)Instructions burned: 68 (million)
% 1.41/0.61 % (8786)------------------------------
% 1.41/0.61 % (8786)------------------------------
% 1.41/0.61 TRYING [4]
% 1.41/0.61 % (8781)Instruction limit reached!
% 1.41/0.61 % (8781)------------------------------
% 1.41/0.61 % (8781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61 % (8781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61 % (8781)Termination reason: Unknown
% 1.41/0.61 % (8781)Termination phase: Saturation
% 1.41/0.61
% 1.41/0.61 % (8781)Memory used [KB]: 1407
% 1.41/0.61 % (8781)Time elapsed: 0.212 s
% 1.41/0.61 % (8781)Instructions burned: 51 (million)
% 1.41/0.61 % (8781)------------------------------
% 1.41/0.61 % (8781)------------------------------
% 1.41/0.62 % (8777)Instruction limit reached!
% 1.41/0.62 % (8777)------------------------------
% 1.41/0.62 % (8777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (8777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (8777)Termination reason: Unknown
% 1.41/0.62 % (8777)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (8777)Memory used [KB]: 6012
% 1.41/0.62 % (8777)Time elapsed: 0.201 s
% 1.41/0.62 % (8777)Instructions burned: 48 (million)
% 1.41/0.62 % (8777)------------------------------
% 1.41/0.62 % (8777)------------------------------
% 1.41/0.62 % (8782)Instruction limit reached!
% 1.41/0.62 % (8782)------------------------------
% 1.41/0.62 % (8782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (8782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (8782)Termination reason: Unknown
% 1.41/0.62 % (8782)Termination phase: Saturation
% 1.41/0.62
% 1.41/0.62 % (8782)Memory used [KB]: 6268
% 1.41/0.62 % (8782)Time elapsed: 0.216 s
% 1.41/0.62 % (8782)Instructions burned: 50 (million)
% 1.41/0.62 % (8782)------------------------------
% 1.41/0.62 % (8782)------------------------------
% 2.18/0.63 % (8776)Instruction limit reached!
% 2.18/0.63 % (8776)------------------------------
% 2.18/0.63 % (8776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (8776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (8776)Termination reason: Unknown
% 2.18/0.63 % (8776)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (8776)Memory used [KB]: 6524
% 2.18/0.63 % (8776)Time elapsed: 0.220 s
% 2.18/0.63 % (8776)Instructions burned: 53 (million)
% 2.18/0.63 % (8776)------------------------------
% 2.18/0.63 % (8776)------------------------------
% 2.18/0.63 % (8775)Instruction limit reached!
% 2.18/0.63 % (8775)------------------------------
% 2.18/0.63 % (8775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (8775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (8775)Termination reason: Unknown
% 2.18/0.63 % (8775)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (8775)Memory used [KB]: 6652
% 2.18/0.63 % (8775)Time elapsed: 0.224 s
% 2.18/0.63 % (8775)Instructions burned: 52 (million)
% 2.18/0.63 % (8775)------------------------------
% 2.18/0.63 % (8775)------------------------------
% 2.18/0.63 % (8773)Instruction limit reached!
% 2.18/0.63 % (8773)------------------------------
% 2.18/0.63 % (8773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (8773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (8773)Termination reason: Unknown
% 2.18/0.63 % (8773)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (8773)Memory used [KB]: 6140
% 2.18/0.63 % (8773)Time elapsed: 0.235 s
% 2.18/0.63 % (8773)Instructions burned: 51 (million)
% 2.18/0.63 % (8773)------------------------------
% 2.18/0.63 % (8773)------------------------------
% 2.18/0.64 % (8789)Instruction limit reached!
% 2.18/0.64 % (8789)------------------------------
% 2.18/0.64 % (8789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.64 % (8789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.64 % (8789)Termination reason: Unknown
% 2.18/0.64 % (8789)Termination phase: Finite model building constraint generation
% 2.18/0.64
% 2.18/0.64 % (8789)Memory used [KB]: 7164
% 2.18/0.64 % (8789)Time elapsed: 0.210 s
% 2.18/0.64 % (8789)Instructions burned: 60 (million)
% 2.18/0.64 % (8789)------------------------------
% 2.18/0.64 % (8789)------------------------------
% 2.18/0.66 % (8801)First to succeed.
% 2.18/0.66 % (8801)Refutation found. Thanks to Tanya!
% 2.18/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.18/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.67 % (8801)------------------------------
% 2.18/0.67 % (8801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67 % (8801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67 % (8801)Termination reason: Refutation
% 2.18/0.67
% 2.18/0.67 % (8801)Memory used [KB]: 6140
% 2.18/0.67 % (8801)Time elapsed: 0.244 s
% 2.18/0.67 % (8801)Instructions burned: 45 (million)
% 2.18/0.67 % (8801)------------------------------
% 2.18/0.67 % (8801)------------------------------
% 2.18/0.67 % (8771)Success in time 0.31 s
%------------------------------------------------------------------------------