TSTP Solution File: GRP217-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP217-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 May 1 02:28:08 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 67
% Syntax : Number of formulae : 243 ( 4 unt; 0 def)
% Number of atoms : 770 ( 299 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1003 ( 476 ~; 501 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1283,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f70,f75,f80,f85,f90,f95,f96,f97,f99,f105,f106,f107,f108,f109,f110,f115,f116,f117,f118,f119,f120,f125,f126,f127,f128,f129,f130,f138,f139,f140,f148,f149,f150,f158,f159,f160,f173,f194,f206,f209,f214,f223,f279,f283,f343,f530,f753,f815,f819,f820,f826,f917,f922,f1256,f1258,f1282]) ).
fof(f1282,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1277]) ).
fof(f1277,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f1268,f844]) ).
fof(f844,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f94,f183]) ).
fof(f183,plain,
( sk_c11 = sk_c10
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl0_20
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1268,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1267,f889]) ).
fof(f889,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_19 ),
inference(superposition,[],[f874,f349]) ).
fof(f349,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( inverse(sk_c1) = sk_c11
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',left_inverse) ).
fof(f874,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_19 ),
inference(forward_demodulation,[],[f872,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',left_identity) ).
fof(f872,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(identity,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f843]) ).
fof(f843,plain,
( identity = multiply(sk_c11,identity)
| ~ spl0_19 ),
inference(superposition,[],[f2,f179]) ).
fof(f179,plain,
( sk_c11 = inverse(identity)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_19
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',associativity) ).
fof(f1267,plain,
( sk_c11 != multiply(identity,sk_c11)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1266]) ).
fof(f1266,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(identity,sk_c11)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1261,f520]) ).
fof(f520,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl0_31
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1261,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(identity,sk_c11)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1259,f179]) ).
fof(f1259,plain,
( ! [X8] :
( sk_c11 != multiply(inverse(X8),sk_c11)
| sk_c11 != multiply(X8,inverse(X8)) )
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f172,f183]) ).
fof(f172,plain,
( ! [X8] :
( sk_c11 != multiply(inverse(X8),sk_c10)
| sk_c11 != multiply(X8,inverse(X8)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_18
<=> ! [X8] :
( sk_c11 != multiply(inverse(X8),sk_c10)
| sk_c11 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1258,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1253]) ).
fof(f1253,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f1234,f844]) ).
fof(f1234,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1233,f889]) ).
fof(f1233,plain,
( sk_c11 != multiply(identity,sk_c11)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1232]) ).
fof(f1232,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(identity,sk_c11)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1227,f520]) ).
fof(f1227,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(identity,sk_c11)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f927,f179]) ).
fof(f927,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),sk_c11)
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f926,f183]) ).
fof(f926,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),sk_c11)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f166,f183]) ).
fof(f166,plain,
( ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c11)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_16
<=> ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c11)
| sk_c10 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1256,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1254]) ).
fof(f1254,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f1234,f886]) ).
fof(f886,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_19 ),
inference(superposition,[],[f874,f358]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f357,f1]) ).
fof(f357,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f349]) ).
fof(f922,plain,
( ~ spl0_31
| ~ spl0_20
| spl0_25 ),
inference(avatar_split_clause,[],[f921,f220,f182,f519]) ).
fof(f220,plain,
( spl0_25
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f921,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_20
| spl0_25 ),
inference(forward_demodulation,[],[f222,f183]) ).
fof(f222,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| spl0_25 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f917,plain,
( ~ spl0_20
| ~ spl0_19
| spl0_23 ),
inference(avatar_split_clause,[],[f900,f200,f178,f182]) ).
fof(f200,plain,
( spl0_23
<=> sk_c10 = multiply(sk_c11,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f900,plain,
( sk_c11 != sk_c10
| ~ spl0_19
| spl0_23 ),
inference(superposition,[],[f202,f874]) ).
fof(f202,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| spl0_23 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f826,plain,
( spl0_20
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f825,f152,f142,f132,f182]) ).
fof(f132,plain,
( spl0_12
<=> sk_c10 = multiply(sk_c11,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f142,plain,
( spl0_13
<=> sk_c5 = multiply(sk_c4,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f152,plain,
( spl0_14
<=> sk_c11 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f825,plain,
( sk_c11 = sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f134,f381]) ).
fof(f381,plain,
( sk_c11 = multiply(sk_c11,sk_c5)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f362,f144]) ).
fof(f144,plain,
( sk_c5 = multiply(sk_c4,sk_c11)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f361,f1]) ).
fof(f361,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f351]) ).
fof(f351,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f2,f154]) ).
fof(f154,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f134,plain,
( sk_c10 = multiply(sk_c11,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f820,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f253,f162,f182,f178]) ).
fof(f162,plain,
( spl0_15
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f253,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f163,f1]) ).
fof(f163,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f819,plain,
( ~ spl0_1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f818,f182,f178,f122,f112,f102,f58,f58]) ).
fof(f102,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f112,plain,
( spl0_10
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f122,plain,
( spl0_11
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f818,plain,
( inverse(sk_c1) != sk_c11
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f180,f681]) ).
fof(f681,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f656,f349]) ).
fof(f656,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f636,f371]) ).
fof(f371,plain,
( sk_c11 = sk_c3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f369,f346]) ).
fof(f346,plain,
( sk_c11 = multiply(sk_c3,sk_c11)
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f124,f183]) ).
fof(f124,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f369,plain,
( sk_c3 = multiply(sk_c3,sk_c11)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f360,f347]) ).
fof(f347,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f104,f183]) ).
fof(f104,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f359,f1]) ).
fof(f359,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f350]) ).
fof(f350,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f114]) ).
fof(f114,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f354,f358]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c3,multiply(sk_c11,X0))
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f3,f346]) ).
fof(f180,plain,
( sk_c11 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f815,plain,
( spl0_24
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f814,f196,f182,f216]) ).
fof(f216,plain,
( spl0_24
<=> sk_c11 = multiply(sk_c8,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f196,plain,
( spl0_22
<=> sk_c10 = multiply(sk_c8,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f814,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f197,f183]) ).
fof(f197,plain,
( sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f753,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f739,f196,f182,f122,f112,f102,f87,f82,f58,f182]) ).
fof(f82,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c8,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f87,plain,
( spl0_7
<=> sk_c11 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f739,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20
| spl0_22 ),
inference(superposition,[],[f239,f683]) ).
fof(f683,plain,
( sk_c11 = sk_c9
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f656,f272]) ).
fof(f272,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f270,f84]) ).
fof(f84,plain,
( sk_c9 = multiply(sk_c8,sk_c11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c8,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f261,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f228]) ).
fof(f228,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c11 = inverse(sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f239,plain,
( sk_c10 != sk_c9
| ~ spl0_6
| spl0_22 ),
inference(superposition,[],[f198,f84]) ).
fof(f198,plain,
( sk_c10 != multiply(sk_c8,sk_c11)
| spl0_22 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f530,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| spl0_31 ),
inference(trivial_inequality_removal,[],[f528]) ).
fof(f528,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20
| spl0_31 ),
inference(superposition,[],[f521,f365]) ).
fof(f365,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_20 ),
inference(superposition,[],[f358,f348]) ).
fof(f348,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f94,f183]) ).
fof(f521,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl0_31 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f343,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f340,f287]) ).
fof(f287,plain,
( sk_c11 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f285,f192]) ).
fof(f192,plain,
( sk_c11 = multiply(sk_c7,sk_c11)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl0_21
<=> sk_c11 = multiply(sk_c7,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f285,plain,
( sk_c7 = multiply(sk_c7,sk_c11)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f271,f64]) ).
fof(f64,plain,
( sk_c11 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_2
<=> sk_c11 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f271,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f227]) ).
fof(f227,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f340,plain,
( sk_c11 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f339,f69]) ).
fof(f339,plain,
( sk_c11 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f338]) ).
fof(f338,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f333,f183]) ).
fof(f333,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f163,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f311,f294]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f271,f287]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f262,f271]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c11,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f64]) ).
fof(f283,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f282,f182,f72,f191]) ).
fof(f72,plain,
( spl0_4
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f282,plain,
( sk_c11 = multiply(sk_c7,sk_c11)
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f74,f183]) ).
fof(f74,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f279,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f276,f87,f82,f77,f182]) ).
fof(f77,plain,
( spl0_5
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f276,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f79,f272]) ).
fof(f79,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f223,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f211,f171,f87,f220,f216]) ).
fof(f211,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c8,sk_c11)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f172,f89]) ).
fof(f214,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f213,f171,f72,f67,f62]) ).
fof(f213,plain,
( sk_c11 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f212]) ).
fof(f212,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f210,f74]) ).
fof(f210,plain,
( sk_c11 != multiply(sk_c7,sk_c10)
| sk_c11 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f172,f69]) ).
fof(f209,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f208,f168,f87,f82,f77]) ).
fof(f168,plain,
( spl0_17
<=> ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(sk_c11,multiply(X7,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f208,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( sk_c11 != sk_c11
| sk_c10 != multiply(sk_c11,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f205,f89]) ).
fof(f205,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f169,f84]) ).
fof(f169,plain,
( ! [X7] :
( sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
| sk_c11 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f206,plain,
( ~ spl0_19
| ~ spl0_23
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f204,f168,f200,f178]) ).
fof(f204,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(identity)
| ~ spl0_17 ),
inference(superposition,[],[f169,f1]) ).
fof(f194,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f189,f165,f67,f62,f182,f191]) ).
fof(f189,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c7,sk_c11)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(inner_rewriting,[],[f188]) ).
fof(f188,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c7,sk_c11)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f186,f64]) ).
fof(f186,plain,
( sk_c10 != multiply(sk_c7,sk_c11)
| multiply(sk_c6,sk_c7) != sk_c10
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f166,f69]) ).
fof(f173,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_17 ),
inference(avatar_split_clause,[],[f56,f168,f171,f168,f165,f162]) ).
fof(f56,plain,
! [X3,X11,X8,X7,X4] :
( sk_c11 != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X11,sk_c11))
| sk_c11 != multiply(inverse(X8),sk_c10)
| sk_c11 != multiply(X8,inverse(X8))
| sk_c11 != inverse(X7)
| sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
| sk_c10 != multiply(inverse(X4),sk_c11)
| sk_c10 != multiply(X4,inverse(X4))
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X11,X8,X7,X4,X5] :
( sk_c11 != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X11,sk_c11))
| sk_c11 != multiply(inverse(X8),sk_c10)
| sk_c11 != multiply(X8,inverse(X8))
| sk_c11 != inverse(X7)
| sk_c10 != multiply(sk_c11,multiply(X7,sk_c11))
| sk_c10 != multiply(X5,sk_c11)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X3,X11,X8,X6,X7,X4,X5] :
( sk_c11 != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X11,sk_c11))
| sk_c11 != multiply(inverse(X8),sk_c10)
| sk_c11 != multiply(X8,inverse(X8))
| sk_c11 != inverse(X7)
| multiply(X7,sk_c11) != X6
| sk_c10 != multiply(sk_c11,X6)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X3,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X11,sk_c11))
| sk_c11 != multiply(X9,sk_c10)
| inverse(X8) != X9
| sk_c11 != multiply(X8,X9)
| sk_c11 != inverse(X7)
| multiply(X7,sk_c11) != X6
| sk_c10 != multiply(sk_c11,X6)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X11)
| multiply(X11,sk_c11) != X10
| sk_c10 != multiply(sk_c11,X10)
| sk_c11 != multiply(X9,sk_c10)
| inverse(X8) != X9
| sk_c11 != multiply(X8,X9)
| sk_c11 != inverse(X7)
| multiply(X7,sk_c11) != X6
| sk_c10 != multiply(sk_c11,X6)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_49) ).
fof(f160,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f87,f152]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_48) ).
fof(f159,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f82,f152]) ).
fof(f50,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_47) ).
fof(f158,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f77,f152]) ).
fof(f49,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_46) ).
fof(f150,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f87,f142]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c5 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_42) ).
fof(f149,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f82,f142]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c5 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_41) ).
fof(f148,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f77,f142]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c5 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_40) ).
fof(f140,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f87,f132]) ).
fof(f39,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c10 = multiply(sk_c11,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_36) ).
fof(f139,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f82,f132]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_35) ).
fof(f138,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f77,f132]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c11,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_34) ).
fof(f130,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f87,f122]) ).
fof(f33,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_30) ).
fof(f129,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f82,f122]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_29) ).
fof(f128,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f77,f122]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_28) ).
fof(f127,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f72,f122]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_27) ).
fof(f126,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f67,f122]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_26) ).
fof(f125,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f62,f122]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_25) ).
fof(f120,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f87,f112]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_24) ).
fof(f119,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f82,f112]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_23) ).
fof(f118,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f77,f112]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_22) ).
fof(f117,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f72,f112]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_21) ).
fof(f116,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f67,f112]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_20) ).
fof(f115,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f62,f112]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c6,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_19) ).
fof(f110,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f87,f102]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_18) ).
fof(f109,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f82,f102]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_17) ).
fof(f108,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f77,f102]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_16) ).
fof(f107,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f72,f102]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_15) ).
fof(f106,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f67,f102]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_14) ).
fof(f105,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f62,f102]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_13) ).
fof(f99,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f82,f92]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_11) ).
fof(f97,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f72,f92]) ).
fof(f12,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_9) ).
fof(f96,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f67,f92]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_8) ).
fof(f95,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f62,f92]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c6,sk_c7)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_7) ).
fof(f90,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f87,f58]) ).
fof(f9,axiom,
( sk_c11 = inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_6) ).
fof(f85,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f82,f58]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_5) ).
fof(f80,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f77,f58]) ).
fof(f7,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_4) ).
fof(f75,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f72,f58]) ).
fof(f6,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_3) ).
fof(f70,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f67,f58]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c6)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_2) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f62,f58]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c6,sk_c7)
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP217-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:40:26 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dgxO6Zs6fz/Vampire---4.8_26519
% 0.60/0.75 % (26710)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.75 % (26709)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.75 % (26703)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.75 % (26706)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.75 % (26705)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (26707)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.75 % (26704)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.75 % (26708)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.75 % (26710)Refutation not found, incomplete strategy% (26710)------------------------------
% 0.60/0.75 % (26710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (26710)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (26710)Memory used [KB]: 1020
% 0.60/0.75 % (26710)Time elapsed: 0.002 s
% 0.60/0.75 % (26710)Instructions burned: 5 (million)
% 0.60/0.75 % (26710)------------------------------
% 0.60/0.75 % (26710)------------------------------
% 0.60/0.76 % (26703)Refutation not found, incomplete strategy% (26703)------------------------------
% 0.60/0.76 % (26703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (26703)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (26703)Memory used [KB]: 1018
% 0.60/0.76 % (26703)Time elapsed: 0.004 s
% 0.60/0.76 % (26703)Instructions burned: 5 (million)
% 0.60/0.76 % (26703)------------------------------
% 0.60/0.76 % (26703)------------------------------
% 0.60/0.76 % (26706)Refutation not found, incomplete strategy% (26706)------------------------------
% 0.60/0.76 % (26706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (26706)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (26706)Memory used [KB]: 1001
% 0.60/0.76 % (26706)Time elapsed: 0.004 s
% 0.60/0.76 % (26707)Refutation not found, incomplete strategy% (26707)------------------------------
% 0.60/0.76 % (26707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (26706)Instructions burned: 5 (million)
% 0.60/0.76 % (26706)------------------------------
% 0.60/0.76 % (26706)------------------------------
% 0.60/0.76 % (26707)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (26707)Memory used [KB]: 1100
% 0.60/0.76 % (26707)Time elapsed: 0.004 s
% 0.60/0.76 % (26707)Instructions burned: 5 (million)
% 0.60/0.76 % (26707)------------------------------
% 0.60/0.76 % (26707)------------------------------
% 0.60/0.76 % (26714)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76 % (26716)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.76 % (26717)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.76 % (26718)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.77 % (26716)Refutation not found, incomplete strategy% (26716)------------------------------
% 0.61/0.77 % (26716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (26716)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (26716)Memory used [KB]: 1070
% 0.61/0.77 % (26716)Time elapsed: 0.005 s
% 0.61/0.77 % (26716)Instructions burned: 8 (million)
% 0.61/0.77 % (26716)------------------------------
% 0.61/0.77 % (26716)------------------------------
% 0.61/0.77 % (26722)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.77 % (26709)Instruction limit reached!
% 0.61/0.77 % (26709)------------------------------
% 0.61/0.77 % (26709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (26709)Termination reason: Unknown
% 0.61/0.77 % (26709)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (26709)Memory used [KB]: 1760
% 0.61/0.77 % (26709)Time elapsed: 0.021 s
% 0.61/0.77 % (26709)Instructions burned: 84 (million)
% 0.61/0.77 % (26709)------------------------------
% 0.61/0.77 % (26709)------------------------------
% 0.61/0.78 % (26726)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.78 % (26704)First to succeed.
% 0.61/0.78 % (26714)Instruction limit reached!
% 0.61/0.78 % (26714)------------------------------
% 0.61/0.78 % (26714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (26714)Termination reason: Unknown
% 0.61/0.78 % (26714)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (26714)Memory used [KB]: 1834
% 0.61/0.78 % (26714)Time elapsed: 0.019 s
% 0.61/0.78 % (26714)Instructions burned: 57 (million)
% 0.61/0.78 % (26714)------------------------------
% 0.61/0.78 % (26714)------------------------------
% 0.61/0.78 % (26726)Refutation not found, incomplete strategy% (26726)------------------------------
% 0.61/0.78 % (26726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (26726)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (26726)Memory used [KB]: 1033
% 0.61/0.78 % (26726)Time elapsed: 0.002 s
% 0.61/0.78 % (26726)Instructions burned: 5 (million)
% 0.61/0.78 % (26726)------------------------------
% 0.61/0.78 % (26726)------------------------------
% 0.61/0.78 % (26708)Instruction limit reached!
% 0.61/0.78 % (26708)------------------------------
% 0.61/0.78 % (26708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (26708)Termination reason: Unknown
% 0.61/0.78 % (26708)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (26708)Memory used [KB]: 1551
% 0.61/0.78 % (26708)Time elapsed: 0.024 s
% 0.61/0.78 % (26708)Instructions burned: 46 (million)
% 0.61/0.78 % (26708)------------------------------
% 0.61/0.78 % (26708)------------------------------
% 0.61/0.78 % (26727)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.78 % (26729)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.78 % (26704)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (26704)------------------------------
% 0.61/0.78 % (26704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (26704)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (26704)Memory used [KB]: 1434
% 0.61/0.78 % (26704)Time elapsed: 0.025 s
% 0.61/0.78 % (26704)Instructions burned: 43 (million)
% 0.61/0.78 % (26704)------------------------------
% 0.61/0.78 % (26704)------------------------------
% 0.61/0.78 % (26672)Success in time 0.407 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------