TSTP Solution File: GRP243-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP243-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Sun May 5 05:47:02 EDT 2024
% Result : Unsatisfiable 0.65s 0.76s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 68
% Syntax : Number of formulae : 260 ( 4 unt; 0 def)
% Number of atoms : 838 ( 303 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1088 ( 510 ~; 554 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1405,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f83,f113,f114,f124,f125,f126,f127,f128,f129,f130,f135,f136,f137,f138,f139,f140,f141,f146,f147,f157,f158,f169,f170,f171,f172,f173,f174,f180,f181,f182,f183,f184,f185,f191,f192,f193,f194,f195,f196,f212,f230,f245,f269,f275,f276,f371,f436,f460,f465,f607,f759,f768,f833,f869,f963,f1404]) ).
fof(f1404,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1402]) ).
fof(f1402,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f1401,f1255]) ).
fof(f1255,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1152,f82]) ).
fof(f82,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_3
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1152,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1151,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',left_identity) ).
fof(f1151,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f971]) ).
fof(f971,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_2
<=> sk_c12 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',associativity) ).
fof(f1401,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1400]) ).
fof(f1400,plain,
( sk_c12 != sk_c12
| sk_c11 != multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1395,f77]) ).
fof(f1395,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| sk_c12 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f199,f1287]) ).
fof(f1287,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c12,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_22 ),
inference(superposition,[],[f1259,f1152]) ).
fof(f1259,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1258,f1170]) ).
fof(f1170,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1169,f1]) ).
fof(f1169,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(identity,X0))
| ~ spl0_22 ),
inference(superposition,[],[f3,f998]) ).
fof(f998,plain,
( identity = multiply(sk_c11,identity)
| ~ spl0_22 ),
inference(superposition,[],[f2,f217]) ).
fof(f217,plain,
( sk_c11 = inverse(identity)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_22
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1258,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f1255]) ).
fof(f199,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl0_17
<=> ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f963,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f961]) ).
fof(f961,plain,
( sk_c11 != sk_c11
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_30 ),
inference(superposition,[],[f943,f808]) ).
fof(f808,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f807,f475]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f474,f1]) ).
fof(f474,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f446]) ).
fof(f446,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f134]) ).
fof(f134,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_11
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f807,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f803,f783]) ).
fof(f783,plain,
( sk_c11 = sk_c5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f775,f501]) ).
fof(f501,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f479,f167]) ).
fof(f167,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_14
<=> sk_c11 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f478,f1]) ).
fof(f478,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_15 ),
inference(superposition,[],[f3,f452]) ).
fof(f452,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f2,f178]) ).
fof(f178,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl0_15
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f775,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f479,f771]) ).
fof(f771,plain,
( sk_c11 = multiply(sk_c4,sk_c11)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f769,f264]) ).
fof(f264,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_30
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f769,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c4,sk_c11)
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f468,f189]) ).
fof(f189,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_16
<=> sk_c11 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f468,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f167]) ).
fof(f803,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f479,f800]) ).
fof(f800,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f799,f1]) ).
fof(f799,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f797,f698]) ).
fof(f698,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f468,f479]) ).
fof(f797,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f3,f791]) ).
fof(f791,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f452,f783]) ).
fof(f943,plain,
( sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_11
| ~ spl0_20
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f942]) ).
fof(f942,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_11
| ~ spl0_20
| ~ spl0_30 ),
inference(forward_demodulation,[],[f936,f264]) ).
fof(f936,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f208,f134]) ).
fof(f208,plain,
( ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl0_20
<=> ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f869,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f868,f263,f187,f176,f165,f154,f143,f110,f75,f71,f80]) ).
fof(f71,plain,
( spl0_1
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f110,plain,
( spl0_9
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f143,plain,
( spl0_12
<=> sk_c12 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f154,plain,
( spl0_13
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f868,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f861,f807]) ).
fof(f861,plain,
( multiply(sk_c6,sk_c11) = multiply(sk_c11,sk_c12)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f617,f826]) ).
fof(f826,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f809,f807]) ).
fof(f809,plain,
( sk_c1 = multiply(sk_c11,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f807,f631]) ).
fof(f631,plain,
( multiply(sk_c11,sk_c1) = multiply(sk_c11,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f619,f616]) ).
fof(f616,plain,
( multiply(sk_c11,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f463,f444]) ).
fof(f444,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c12,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f619,plain,
( multiply(sk_c1,identity) = multiply(sk_c11,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f463,f279]) ).
fof(f279,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f77]) ).
fof(f617,plain,
( multiply(sk_c11,sk_c12) = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f463,f498]) ).
fof(f498,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f477,f156]) ).
fof(f156,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f476,f1]) ).
fof(f476,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f450]) ).
fof(f450,plain,
( identity = multiply(sk_c12,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f145]) ).
fof(f145,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f833,plain,
( spl0_24
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f820,f263,f187,f176,f165,f227]) ).
fof(f227,plain,
( spl0_24
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f820,plain,
( sk_c11 = sk_c10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f264,f807]) ).
fof(f768,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f766,f132,f121,f263]) ).
fof(f121,plain,
( spl0_10
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f766,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f475,f123]) ).
fof(f123,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f759,plain,
( ~ spl0_11
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f752,f227,f216,f187,f176,f165,f132,f132]) ).
fof(f752,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f218,f727]) ).
fof(f727,plain,
( identity = sk_c2
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f715,f446]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f505,f704]) ).
fof(f704,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f698,f505]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(superposition,[],[f479,f503]) ).
fof(f503,plain,
( sk_c11 = sk_c5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f501,f440]) ).
fof(f440,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f189,f228]) ).
fof(f228,plain,
( sk_c11 = sk_c10
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f218,plain,
( sk_c11 != inverse(identity)
| spl0_22 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f607,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f587,f204,f154,f143]) ).
fof(f204,plain,
( spl0_19
<=> ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f587,plain,
( sk_c12 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f584]) ).
fof(f584,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f205,f156]) ).
fof(f205,plain,
( ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f465,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f464,f198,f71,f110]) ).
fof(f464,plain,
( sk_c12 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_17 ),
inference(superposition,[],[f199,f73]) ).
fof(f460,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| spl0_22
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( sk_c11 != sk_c11
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f442,f449]) ).
fof(f449,plain,
( sk_c11 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_24 ),
inference(superposition,[],[f134,f448]) ).
fof(f448,plain,
( sk_c8 = sk_c2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f447,f428]) ).
fof(f428,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f391,f419]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f414,f382]) ).
fof(f382,plain,
( sk_c11 = sk_c9
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f376,f335]) ).
fof(f335,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f324,f97]) ).
fof(f97,plain,
( sk_c11 = multiply(sk_c8,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_6
<=> sk_c11 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f317,f1]) ).
fof(f317,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f281]) ).
fof(f281,plain,
( identity = multiply(sk_c9,sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f2,f102]) ).
fof(f102,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_7
<=> sk_c9 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f376,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f107,f228]) ).
fof(f107,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f324,f411]) ).
fof(f411,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f410,f1]) ).
fof(f410,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f408,f363]) ).
fof(f363,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c11,multiply(sk_c8,X0))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f315,f324]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f97]) ).
fof(f408,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c8,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f3,f391]) ).
fof(f391,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f281,f382]) ).
fof(f447,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f446,f419]) ).
fof(f442,plain,
( sk_c11 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f218,f428]) ).
fof(f436,plain,
( ~ spl0_4
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f434,f227,f216,f105,f100,f95,f85,f85]) ).
fof(f85,plain,
( spl0_4
<=> sk_c11 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f434,plain,
( sk_c11 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f218,f422]) ).
fof(f422,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f419,f280]) ).
fof(f280,plain,
( identity = multiply(sk_c11,sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
( sk_c11 = inverse(sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f371,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f370,f100,f95,f90,f85,f227]) ).
fof(f90,plain,
( spl0_5
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f370,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f369,f97]) ).
fof(f369,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f364,f331]) ).
fof(f331,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f323,f92]) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c7,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f312,f1]) ).
fof(f312,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f280]) ).
fof(f364,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f315,f335]) ).
fof(f276,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f274,f210,f90,f85]) ).
fof(f210,plain,
( spl0_21
<=> ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f274,plain,
( sk_c11 != inverse(sk_c7)
| ~ spl0_5
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c7)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f211,f92]) ).
fof(f211,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f275,plain,
( ~ spl0_22
| ~ spl0_24
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f270,f210,f227,f216]) ).
fof(f270,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_21 ),
inference(superposition,[],[f211,f1]) ).
fof(f269,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f268,f207,f105,f100,f95]) ).
fof(f268,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f248,f107]) ).
fof(f248,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f208,f102]) ).
fof(f245,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f242,f204,f80,f75]) ).
fof(f242,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f205,f82]) ).
fof(f230,plain,
( ~ spl0_22
| ~ spl0_24
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f224,f201,f227,f216]) ).
fof(f201,plain,
( spl0_18
<=> ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f224,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_18 ),
inference(superposition,[],[f202,f1]) ).
fof(f202,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f212,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_19
| spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f69,f207,f210,f204,f207,f204,f201,f198]) ).
fof(f69,plain,
! [X3,X10,X8,X6,X9,X4,X5] :
( sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6))
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X7,sk_c10)
| inverse(X6) != X7
| sk_c11 != multiply(X6,X7)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X11,sk_c10)
| inverse(X10) != X11
| sk_c11 != multiply(X10,X11)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X7,sk_c10)
| inverse(X6) != X7
| sk_c11 != multiply(X6,X7)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_64) ).
fof(f196,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f66,f105,f187]) ).
fof(f66,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_63) ).
fof(f195,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f65,f100,f187]) ).
fof(f65,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_62) ).
fof(f194,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f95,f187]) ).
fof(f64,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_61) ).
fof(f193,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f63,f90,f187]) ).
fof(f63,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_60) ).
fof(f192,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f62,f85,f187]) ).
fof(f62,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_59) ).
fof(f191,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f61,f80,f187]) ).
fof(f61,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_58) ).
fof(f185,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f59,f105,f176]) ).
fof(f59,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_56) ).
fof(f184,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f58,f100,f176]) ).
fof(f58,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_55) ).
fof(f183,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f57,f95,f176]) ).
fof(f57,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_54) ).
fof(f182,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f56,f90,f176]) ).
fof(f56,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_53) ).
fof(f181,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f55,f85,f176]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_52) ).
fof(f180,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f54,f80,f176]) ).
fof(f54,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_51) ).
fof(f174,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f105,f165]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_49) ).
fof(f173,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f100,f165]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_48) ).
fof(f172,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f95,f165]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_47) ).
fof(f171,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f90,f165]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_46) ).
fof(f170,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f85,f165]) ).
fof(f48,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_45) ).
fof(f169,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f47,f80,f165]) ).
fof(f47,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_44) ).
fof(f158,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f80,f154]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_37) ).
fof(f157,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f75,f154]) ).
fof(f39,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_36) ).
fof(f147,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f80,f143]) ).
fof(f33,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_30) ).
fof(f146,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f75,f143]) ).
fof(f32,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_29) ).
fof(f141,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f105,f132]) ).
fof(f31,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_28) ).
fof(f140,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f100,f132]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_27) ).
fof(f139,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f95,f132]) ).
fof(f29,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_26) ).
fof(f138,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f90,f132]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_25) ).
fof(f137,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f85,f132]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_24) ).
fof(f136,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f80,f132]) ).
fof(f26,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_23) ).
fof(f135,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f75,f132]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_22) ).
fof(f130,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f105,f121]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_21) ).
fof(f129,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f100,f121]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_20) ).
fof(f128,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f95,f121]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_19) ).
fof(f127,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f90,f121]) ).
fof(f21,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_18) ).
fof(f126,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f85,f121]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_17) ).
fof(f125,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f80,f121]) ).
fof(f19,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_16) ).
fof(f124,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f75,f121]) ).
fof(f18,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_15) ).
fof(f114,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f80,f110]) ).
fof(f12,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_9) ).
fof(f113,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f75,f110]) ).
fof(f11,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_8) ).
fof(f83,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f80,f71]) ).
fof(f5,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_2) ).
fof(f78,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f75,f71]) ).
fof(f4,axiom,
( sk_c12 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:46:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.DdihLb3VFy/Vampire---4.8_31178
% 0.58/0.73 % (31521)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)
% 0.58/0.73 % (31514)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)
% 0.58/0.73 % (31515)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)
% 0.58/0.73 % (31517)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)
% 0.58/0.73 % (31519)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)
% 0.58/0.73 % (31518)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)
% 0.58/0.73 % (31516)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73 % (31520)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)
% 0.58/0.73 % (31521)Refutation not found, incomplete strategy% (31521)------------------------------
% 0.58/0.73 % (31521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (31521)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (31521)Memory used [KB]: 1028
% 0.58/0.73 % (31521)Time elapsed: 0.003 s
% 0.58/0.73 % (31521)Instructions burned: 5 (million)
% 0.58/0.73 % (31521)------------------------------
% 0.58/0.73 % (31521)------------------------------
% 0.58/0.74 % (31514)Refutation not found, incomplete strategy% (31514)------------------------------
% 0.58/0.74 % (31514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31514)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31514)Memory used [KB]: 1044
% 0.58/0.74 % (31514)Time elapsed: 0.004 s
% 0.58/0.74 % (31514)Instructions burned: 6 (million)
% 0.58/0.74 % (31517)Refutation not found, incomplete strategy% (31517)------------------------------
% 0.58/0.74 % (31517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31517)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31517)Memory used [KB]: 1023
% 0.58/0.74 % (31517)Time elapsed: 0.004 s
% 0.58/0.74 % (31517)Instructions burned: 5 (million)
% 0.58/0.74 % (31518)Refutation not found, incomplete strategy% (31518)------------------------------
% 0.58/0.74 % (31518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31514)------------------------------
% 0.58/0.74 % (31514)------------------------------
% 0.58/0.74 % (31518)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31518)Memory used [KB]: 1109
% 0.58/0.74 % (31518)Time elapsed: 0.005 s
% 0.58/0.74 % (31518)Instructions burned: 6 (million)
% 0.58/0.74 % (31517)------------------------------
% 0.58/0.74 % (31517)------------------------------
% 0.58/0.74 % (31525)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)
% 0.58/0.74 % (31518)------------------------------
% 0.58/0.74 % (31518)------------------------------
% 0.58/0.74 % (31528)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)
% 0.58/0.74 % (31529)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)
% 0.58/0.74 % (31530)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)
% 0.58/0.74 % (31528)Refutation not found, incomplete strategy% (31528)------------------------------
% 0.58/0.74 % (31528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (31528)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31528)Memory used [KB]: 1077
% 0.58/0.74 % (31528)Time elapsed: 0.006 s
% 0.58/0.74 % (31528)Instructions burned: 10 (million)
% 0.58/0.74 % (31528)------------------------------
% 0.58/0.74 % (31528)------------------------------
% 0.58/0.75 % (31535)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)
% 0.58/0.75 % (31525)Instruction limit reached!
% 0.58/0.75 % (31525)------------------------------
% 0.58/0.75 % (31525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (31525)Termination reason: Unknown
% 0.58/0.75 % (31525)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (31525)Memory used [KB]: 1713
% 0.58/0.75 % (31525)Time elapsed: 0.016 s
% 0.58/0.75 % (31525)Instructions burned: 57 (million)
% 0.58/0.75 % (31525)------------------------------
% 0.58/0.75 % (31525)------------------------------
% 0.58/0.75 % (31539)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 (2996ds/42Mi)
% 0.58/0.75 % (31519)Instruction limit reached!
% 0.58/0.75 % (31519)------------------------------
% 0.58/0.75 % (31519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (31519)Termination reason: Unknown
% 0.58/0.75 % (31519)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (31519)Memory used [KB]: 1595
% 0.58/0.75 % (31519)Time elapsed: 0.024 s
% 0.58/0.75 % (31519)Instructions burned: 47 (million)
% 0.58/0.75 % (31519)------------------------------
% 0.58/0.75 % (31519)------------------------------
% 0.58/0.75 % (31539)Refutation not found, incomplete strategy% (31539)------------------------------
% 0.58/0.75 % (31539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (31539)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (31539)Memory used [KB]: 1046
% 0.58/0.75 % (31539)Time elapsed: 0.002 s
% 0.58/0.75 % (31539)Instructions burned: 6 (million)
% 0.58/0.76 % (31539)------------------------------
% 0.58/0.76 % (31539)------------------------------
% 0.58/0.76 % (31515)First to succeed.
% 0.58/0.76 % (31546)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 (2996ds/117Mi)
% 0.58/0.76 % (31545)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 (2996ds/243Mi)
% 0.65/0.76 % (31546)Refutation not found, incomplete strategy% (31546)------------------------------
% 0.65/0.76 % (31546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (31546)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76
% 0.65/0.76 % (31546)Memory used [KB]: 1029
% 0.65/0.76 % (31546)Time elapsed: 0.002 s
% 0.65/0.76 % (31546)Instructions burned: 6 (million)
% 0.65/0.76 % (31546)------------------------------
% 0.65/0.76 % (31546)------------------------------
% 0.65/0.76 % (31515)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31412"
% 0.65/0.76 % (31515)Refutation found. Thanks to Tanya!
% 0.65/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.65/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.76 % (31515)------------------------------
% 0.65/0.76 % (31515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (31515)Termination reason: Refutation
% 0.65/0.76
% 0.65/0.76 % (31515)Memory used [KB]: 1450
% 0.65/0.76 % (31515)Time elapsed: 0.029 s
% 0.65/0.76 % (31515)Instructions burned: 49 (million)
% 0.65/0.76 % (31412)Success in time 0.398 s
% 0.65/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------