TSTP Solution File: GRP242-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP242-1 : 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 : n015.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 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 95
% Syntax : Number of formulae : 360 ( 4 unt; 0 def)
% Number of atoms : 1210 ( 437 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1606 ( 756 ~; 817 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1172,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f85,f90,f95,f100,f106,f107,f108,f109,f110,f115,f116,f117,f118,f119,f120,f125,f126,f127,f128,f129,f130,f135,f136,f137,f138,f139,f140,f145,f146,f147,f148,f149,f150,f155,f156,f157,f158,f159,f160,f165,f166,f167,f168,f169,f170,f175,f176,f177,f178,f179,f180,f185,f186,f187,f188,f189,f190,f207,f219,f251,f254,f257,f268,f284,f332,f375,f384,f397,f406,f409,f455,f459,f465,f497,f504,f570,f668,f669,f672,f674,f700,f937,f944,f958,f965,f1026,f1155,f1171]) ).
fof(f1171,plain,
( ~ spl0_41
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1170,f265,f216,f205,f182,f172,f162,f152,f142,f132,f567]) ).
fof(f567,plain,
( spl0_41
<=> sk_c11 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f132,plain,
( spl0_11
<=> sk_c11 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f142,plain,
( spl0_12
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f152,plain,
( spl0_13
<=> sk_c11 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f162,plain,
( spl0_14
<=> inverse(sk_c5) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f172,plain,
( spl0_15
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f182,plain,
( spl0_16
<=> sk_c4 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f205,plain,
( spl0_21
<=> ! [X10] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f216,plain,
( spl0_23
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f265,plain,
( spl0_31
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1170,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1169,f1020]) ).
fof(f1020,plain,
( sk_c11 = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_31 ),
inference(forward_demodulation,[],[f995,f637]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f636,f609]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f524,f585]) ).
fof(f585,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f526,f524]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f525,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',left_identity) ).
fof(f525,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_15 ),
inference(superposition,[],[f3,f485]) ).
fof(f485,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f2,f174]) ).
fof(f174,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',associativity) ).
fof(f524,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f523,f1]) ).
fof(f523,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f483]) ).
fof(f483,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_14 ),
inference(superposition,[],[f2,f164]) ).
fof(f164,plain,
( inverse(sk_c5) = sk_c4
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f3,f628]) ).
fof(f628,plain,
( sk_c11 = multiply(sk_c4,sk_c6)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f609,f532]) ).
fof(f532,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f522,f134]) ).
fof(f134,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f521,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f481]) ).
fof(f481,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f144]) ).
fof(f144,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f995,plain,
( sk_c4 = multiply(sk_c11,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_31 ),
inference(superposition,[],[f586,f898]) ).
fof(f898,plain,
( sk_c11 = sk_c6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_31 ),
inference(superposition,[],[f532,f680]) ).
fof(f680,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_13
| ~ spl0_31 ),
inference(superposition,[],[f154,f266]) ).
fof(f266,plain,
( sk_c11 = sk_c10
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f154,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f586,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f526,f580]) ).
fof(f580,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f524,f184]) ).
fof(f184,plain,
( sk_c4 = multiply(sk_c5,sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f1169,plain,
( sk_c11 != inverse(sk_c4)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1168]) ).
fof(f1168,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c4)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1137,f266]) ).
fof(f1137,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(sk_c4)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f1038,f629]) ).
fof(f629,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f609,f154]) ).
fof(f1038,plain,
( ! [X10] :
( sk_c11 != multiply(X10,sk_c11)
| sk_c11 != inverse(X10) )
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f206,f217]) ).
fof(f217,plain,
( sk_c11 = sk_c9
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f206,plain,
( ! [X10] :
( sk_c9 != multiply(X10,sk_c11)
| sk_c11 != inverse(X10) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f1155,plain,
( ~ spl0_41
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1141,f216,f205,f172,f162,f142,f132,f567]) ).
fof(f1141,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1130]) ).
fof(f1130,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f1038,f637]) ).
fof(f1026,plain,
( spl0_34
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1025,f265,f182,f172,f162,f152,f142,f132,f341]) ).
fof(f341,plain,
( spl0_34
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1025,plain,
( identity = sk_c11
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1004,f1020]) ).
fof(f1004,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1003,f644]) ).
fof(f644,plain,
( sk_c3 = sk_c4
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f632,f630]) ).
fof(f630,plain,
( sk_c3 = multiply(sk_c4,identity)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f609,f481]) ).
fof(f632,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f609,f485]) ).
fof(f1003,plain,
( identity = sk_c3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_demodulation,[],[f989,f637]) ).
fof(f989,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_31 ),
inference(superposition,[],[f481,f898]) ).
fof(f965,plain,
( ~ spl0_34
| ~ spl0_23
| spl0_32 ),
inference(avatar_split_clause,[],[f964,f277,f216,f341]) ).
fof(f277,plain,
( spl0_32
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f964,plain,
( identity != sk_c11
| ~ spl0_23
| spl0_32 ),
inference(forward_demodulation,[],[f279,f217]) ).
fof(f279,plain,
( identity != sk_c9
| spl0_32 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f958,plain,
( ~ spl0_31
| ~ spl0_23
| spl0_33
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f957,f567,f281,f216,f265]) ).
fof(f281,plain,
( spl0_33
<=> sk_c10 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f957,plain,
( sk_c11 != sk_c10
| ~ spl0_23
| spl0_33
| ~ spl0_41 ),
inference(forward_demodulation,[],[f956,f568]) ).
fof(f568,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f956,plain,
( sk_c10 != inverse(sk_c11)
| ~ spl0_23
| spl0_33 ),
inference(forward_demodulation,[],[f283,f217]) ).
fof(f283,plain,
( sk_c10 != inverse(sk_c9)
| spl0_33 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f944,plain,
( ~ spl0_41
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23
| ~ spl0_31
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f943,f341,f265,f216,f202,f172,f162,f152,f142,f132,f122,f112,f102,f567]) ).
fof(f102,plain,
( spl0_8
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f112,plain,
( spl0_9
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f122,plain,
( spl0_10
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f202,plain,
( spl0_20
<=> ! [X9] :
( sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f943,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f942,f776]) ).
fof(f776,plain,
( sk_c1 = sk_c11
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f775,f719]) ).
fof(f719,plain,
( sk_c11 = sk_c4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f718,f266]) ).
fof(f718,plain,
( sk_c10 = sk_c4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_34 ),
inference(forward_demodulation,[],[f713,f629]) ).
fof(f713,plain,
( sk_c4 = multiply(sk_c4,sk_c11)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_34 ),
inference(superposition,[],[f632,f342]) ).
fof(f342,plain,
( identity = sk_c11
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f775,plain,
( sk_c1 = sk_c4
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f774,f644]) ).
fof(f774,plain,
( sk_c1 = sk_c3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f773,f637]) ).
fof(f773,plain,
( sk_c3 = multiply(sk_c11,sk_c1)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f752,f654]) ).
fof(f654,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f637,f477]) ).
fof(f477,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f104]) ).
fof(f104,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f752,plain,
( sk_c3 = multiply(sk_c11,identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31
| ~ spl0_34 ),
inference(superposition,[],[f630,f719]) ).
fof(f942,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f941,f689]) ).
fof(f689,plain,
( sk_c1 = sk_c2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_demodulation,[],[f688,f654]) ).
fof(f688,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_demodulation,[],[f683,f637]) ).
fof(f683,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_10
| ~ spl0_31 ),
inference(superposition,[],[f512,f266]) ).
fof(f512,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f124]) ).
fof(f124,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f941,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_20
| ~ spl0_23
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f940]) ).
fof(f940,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_20
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f915,f217]) ).
fof(f915,plain,
( sk_c11 != sk_c9
| sk_c11 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f697,f679]) ).
fof(f679,plain,
( sk_c9 = multiply(sk_c2,sk_c11)
| ~ spl0_9
| ~ spl0_31 ),
inference(superposition,[],[f114,f266]) ).
fof(f114,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f697,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c11)
| sk_c11 != inverse(X9) )
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f696,f266]) ).
fof(f696,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c11)
| sk_c10 != inverse(X9) )
| ~ spl0_20
| ~ spl0_31 ),
inference(forward_demodulation,[],[f203,f266]) ).
fof(f203,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c10 != inverse(X9) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f937,plain,
( ~ spl0_41
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f923,f265,f202,f172,f162,f142,f132,f567]) ).
fof(f923,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f912,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_31 ),
inference(superposition,[],[f697,f637]) ).
fof(f700,plain,
( spl0_41
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f699,f265,f216,f77,f567]) ).
fof(f77,plain,
( spl0_3
<=> sk_c9 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f699,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f698,f217]) ).
fof(f698,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_31 ),
inference(forward_demodulation,[],[f79,f266]) ).
fof(f79,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f674,plain,
( ~ spl0_31
| spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f603,f122,f112,f72,f265]) ).
fof(f72,plain,
( spl0_2
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f603,plain,
( sk_c11 != sk_c10
| spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f73,f598]) ).
fof(f598,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f528,f114]) ).
fof(f528,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f527,f1]) ).
fof(f527,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f512]) ).
fof(f73,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f672,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f529,f102,f68,f245]) ).
fof(f245,plain,
( spl0_28
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f68,plain,
( spl0_1
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f529,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f520,f70]) ).
fof(f70,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f520,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f519,f1]) ).
fof(f519,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f477]) ).
fof(f669,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f662,f172,f162,f142,f132,f97,f92,f216]) ).
fof(f92,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c8,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f97,plain,
( spl0_7
<=> sk_c11 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f662,plain,
( sk_c11 = sk_c9
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f319,f637]) ).
fof(f319,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f316,f94]) ).
fof(f94,plain,
( sk_c9 = multiply(sk_c8,sk_c11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c8,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f306,f1]) ).
fof(f306,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f2,f99]) ).
fof(f99,plain,
( sk_c11 = inverse(sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f668,plain,
( spl0_31
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f661,f245,f172,f162,f142,f132,f265]) ).
fof(f661,plain,
( sk_c11 = sk_c10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f246,f637]) ).
fof(f246,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f570,plain,
( ~ spl0_41
| ~ spl0_30
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f565,f249,f261,f567]) ).
fof(f261,plain,
( spl0_30
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f249,plain,
( spl0_29
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f565,plain,
( sk_c11 != inverse(identity)
| sk_c11 != inverse(sk_c11)
| ~ spl0_29 ),
inference(inner_rewriting,[],[f560]) ).
fof(f560,plain,
( sk_c11 != inverse(identity)
| sk_c11 != inverse(inverse(identity))
| ~ spl0_29 ),
inference(superposition,[],[f250,f1]) ).
fof(f250,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f504,plain,
( spl0_23
| ~ spl0_9
| ~ spl0_10
| ~ spl0_31
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f503,f341,f265,f122,f112,f216]) ).
fof(f503,plain,
( sk_c11 = sk_c9
| ~ spl0_9
| ~ spl0_10
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f498,f387]) ).
fof(f387,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_34 ),
inference(superposition,[],[f1,f342]) ).
fof(f498,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f472,f489]) ).
fof(f489,plain,
( sk_c11 = sk_c2
| ~ spl0_10
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f488,f342]) ).
fof(f488,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f487,f387]) ).
fof(f487,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_10
| ~ spl0_31 ),
inference(superposition,[],[f2,f471]) ).
fof(f471,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[],[f124,f266]) ).
fof(f472,plain,
( sk_c9 = multiply(sk_c2,sk_c11)
| ~ spl0_9
| ~ spl0_31 ),
inference(forward_demodulation,[],[f114,f266]) ).
fof(f497,plain,
( ~ spl0_23
| spl0_3
| ~ spl0_8
| ~ spl0_31
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f496,f341,f265,f102,f77,f216]) ).
fof(f496,plain,
( sk_c11 != sk_c9
| spl0_3
| ~ spl0_8
| ~ spl0_31
| ~ spl0_34 ),
inference(forward_demodulation,[],[f474,f480]) ).
fof(f480,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_8
| ~ spl0_34 ),
inference(superposition,[],[f104,f479]) ).
fof(f479,plain,
( sk_c1 = sk_c11
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_demodulation,[],[f478,f342]) ).
fof(f478,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_demodulation,[],[f477,f387]) ).
fof(f474,plain,
( sk_c9 != inverse(sk_c11)
| spl0_3
| ~ spl0_31 ),
inference(forward_demodulation,[],[f78,f266]) ).
fof(f78,plain,
( sk_c9 != inverse(sk_c10)
| spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f465,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_37 ),
inference(trivial_inequality_removal,[],[f463]) ).
fof(f463,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_37 ),
inference(superposition,[],[f460,f424]) ).
fof(f424,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f415,f217]) ).
fof(f415,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_31 ),
inference(superposition,[],[f79,f266]) ).
fof(f460,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_23
| spl0_37 ),
inference(forward_demodulation,[],[f368,f217]) ).
fof(f368,plain,
( sk_c9 != inverse(sk_c9)
| spl0_37 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl0_37
<=> sk_c9 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f459,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_36 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_36 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_23
| ~ spl0_31
| spl0_36 ),
inference(superposition,[],[f410,f424]) ).
fof(f410,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_23
| spl0_36 ),
inference(forward_demodulation,[],[f351,f217]) ).
fof(f351,plain,
( sk_c9 != inverse(sk_c11)
| spl0_36 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl0_36
<=> sk_c9 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f455,plain,
( ~ spl0_3
| ~ spl0_23
| spl0_30
| ~ spl0_31
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl0_3
| ~ spl0_23
| spl0_30
| ~ spl0_31
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f452,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_23
| spl0_30
| ~ spl0_31
| ~ spl0_34 ),
inference(superposition,[],[f386,f424]) ).
fof(f386,plain,
( sk_c11 != inverse(sk_c11)
| spl0_30
| ~ spl0_34 ),
inference(superposition,[],[f263,f342]) ).
fof(f263,plain,
( sk_c11 != inverse(identity)
| spl0_30 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f409,plain,
( spl0_31
| ~ spl0_3
| ~ spl0_23
| ~ spl0_24
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f408,f341,f226,f216,f77,f265]) ).
fof(f226,plain,
( spl0_24
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f408,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_23
| ~ spl0_24
| ~ spl0_34 ),
inference(forward_demodulation,[],[f407,f342]) ).
fof(f407,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f402,f385]) ).
fof(f385,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f382,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_3 ),
inference(superposition,[],[f2,f79]) ).
fof(f382,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_24 ),
inference(superposition,[],[f3,f227]) ).
fof(f227,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f402,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f271,f217]) ).
fof(f406,plain,
( spl0_28
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f401,f226,f216,f245]) ).
fof(f401,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f227,f217]) ).
fof(f397,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f392,f226,f97,f92,f77,f216]) ).
fof(f392,plain,
( sk_c11 = sk_c9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_24 ),
inference(superposition,[],[f319,f385]) ).
fof(f384,plain,
( spl0_34
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f381,f226,f77,f341]) ).
fof(f381,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f271,f227]) ).
fof(f375,plain,
( ~ spl0_37
| ~ spl0_36
| ~ spl0_34
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f374,f199,f77,f72,f341,f349,f366]) ).
fof(f199,plain,
( spl0_19
<=> ! [X5,X7] :
( inverse(X5) != inverse(inverse(X7))
| sk_c11 != multiply(X5,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10)
| inverse(X7) != multiply(X7,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f374,plain,
( identity != sk_c11
| sk_c9 != inverse(sk_c11)
| sk_c9 != inverse(sk_c9)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(inner_rewriting,[],[f373]) ).
fof(f373,plain,
( identity != sk_c11
| sk_c9 != inverse(sk_c11)
| sk_c9 != inverse(inverse(sk_c11))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(inner_rewriting,[],[f372]) ).
fof(f372,plain,
( identity != sk_c11
| sk_c9 != inverse(identity)
| sk_c9 != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f371]) ).
fof(f371,plain,
( sk_c11 != sk_c11
| identity != sk_c11
| sk_c9 != inverse(identity)
| sk_c9 != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f370,f74]) ).
fof(f74,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f370,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c9 != inverse(identity)
| sk_c9 != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f293,f271]) ).
fof(f293,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c9 != inverse(identity)
| sk_c9 != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_19 ),
inference(superposition,[],[f289,f79]) ).
fof(f289,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(X0,inverse(X0))
| inverse(X0) != inverse(identity)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl0_19 ),
inference(superposition,[],[f200,f1]) ).
fof(f200,plain,
( ! [X7,X5] :
( inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(X5,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10)
| inverse(X5) != inverse(inverse(X7)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f332,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f328,f87,f82,f77,f226]) ).
fof(f82,plain,
( spl0_4
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f87,plain,
( spl0_5
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f328,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f318,f323]) ).
fof(f323,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f317,f84]) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f308,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f272]) ).
fof(f272,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f284,plain,
( ~ spl0_32
| ~ spl0_33
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f275,f196,f77,f281,f277]) ).
fof(f196,plain,
( spl0_18
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f275,plain,
( sk_c10 != inverse(sk_c9)
| identity != sk_c9
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f274,f79]) ).
fof(f274,plain,
( identity != sk_c9
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_18 ),
inference(superposition,[],[f197,f2]) ).
fof(f197,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f268,plain,
( ~ spl0_30
| ~ spl0_31
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f259,f193,f265,f261]) ).
fof(f193,plain,
( spl0_17
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f259,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_17 ),
inference(superposition,[],[f194,f1]) ).
fof(f194,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f257,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f256,f205,f92,f97]) ).
fof(f256,plain,
( sk_c11 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( sk_c9 != sk_c9
| sk_c11 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f206,f94]) ).
fof(f254,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f253,f202,f82,f87]) ).
fof(f253,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f252]) ).
fof(f252,plain,
( sk_c11 != sk_c11
| sk_c10 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_20 ),
inference(superposition,[],[f203,f84]) ).
fof(f251,plain,
( ~ spl0_28
| spl0_29
| ~ spl0_23
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f243,f199,f97,f92,f216,f249,f245]) ).
fof(f243,plain,
( ! [X0] :
( sk_c11 != sk_c9
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f222,f94]) ).
fof(f222,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c8,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f200,f99]) ).
fof(f219,plain,
( ~ spl0_5
| ~ spl0_23
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f214,f196,f82,f216,f87]) ).
fof(f214,plain,
( sk_c11 != sk_c9
| sk_c10 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f197,f84]) ).
fof(f207,plain,
( spl0_17
| spl0_18
| spl0_19
| ~ spl0_2
| ~ spl0_3
| spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f191,f205,f202,f77,f72,f199,f196,f193]) ).
fof(f191,plain,
! [X3,X10,X9,X7,X4,X5] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(X5) != inverse(inverse(X7))
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10)
| sk_c11 != multiply(X5,inverse(X5))
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(inner_rewriting,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X9,X7,X4,X5] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10)
| sk_c11 != multiply(X5,inverse(X5))
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(multiply(X7,X6)) != X6
| inverse(X7) != multiply(X7,X6)
| sk_c11 != multiply(X6,sk_c10)
| inverse(X5) != X6
| sk_c11 != multiply(X5,X6)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| sk_c11 != multiply(X6,sk_c10)
| inverse(X5) != X6
| sk_c11 != multiply(X5,X6)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_61) ).
fof(f190,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f63,f97,f182]) ).
fof(f63,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_60) ).
fof(f189,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f92,f182]) ).
fof(f62,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_59) ).
fof(f188,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f61,f87,f182]) ).
fof(f61,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_58) ).
fof(f187,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f60,f82,f182]) ).
fof(f60,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_57) ).
fof(f186,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f59,f77,f182]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_56) ).
fof(f185,plain,
( spl0_16
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f72,f182]) ).
fof(f58,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_55) ).
fof(f180,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f57,f97,f172]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_54) ).
fof(f179,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f92,f172]) ).
fof(f56,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_53) ).
fof(f178,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f55,f87,f172]) ).
fof(f55,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_52) ).
fof(f177,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f54,f82,f172]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_51) ).
fof(f176,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f53,f77,f172]) ).
fof(f53,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_50) ).
fof(f175,plain,
( spl0_15
| spl0_2 ),
inference(avatar_split_clause,[],[f52,f72,f172]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_49) ).
fof(f170,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f97,f162]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c8)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_48) ).
fof(f169,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f92,f162]) ).
fof(f50,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_47) ).
fof(f168,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f87,f162]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c7)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_46) ).
fof(f167,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f82,f162]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_45) ).
fof(f166,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f47,f77,f162]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c10)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_44) ).
fof(f165,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f72,f162]) ).
fof(f46,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_43) ).
fof(f160,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f97,f152]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_42) ).
fof(f159,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f92,f152]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_41) ).
fof(f158,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f87,f152]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_40) ).
fof(f157,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f42,f82,f152]) ).
fof(f42,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_39) ).
fof(f156,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f41,f77,f152]) ).
fof(f41,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_38) ).
fof(f155,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f40,f72,f152]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_37) ).
fof(f150,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f97,f142]) ).
fof(f39,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_36) ).
fof(f149,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f92,f142]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_35) ).
fof(f148,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f87,f142]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_34) ).
fof(f147,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f82,f142]) ).
fof(f36,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_33) ).
fof(f146,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f77,f142]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_32) ).
fof(f145,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f72,f142]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_31) ).
fof(f140,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f97,f132]) ).
fof(f33,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_30) ).
fof(f139,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f92,f132]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_29) ).
fof(f138,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f87,f132]) ).
fof(f31,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_28) ).
fof(f137,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f82,f132]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_27) ).
fof(f136,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f77,f132]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_26) ).
fof(f135,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f72,f132]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_25) ).
fof(f130,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f97,f122]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_24) ).
fof(f129,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f92,f122]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_23) ).
fof(f128,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f87,f122]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_22) ).
fof(f127,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f82,f122]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_21) ).
fof(f126,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f77,f122]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_20) ).
fof(f125,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f72,f122]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_19) ).
fof(f120,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f97,f112]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_18) ).
fof(f119,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f92,f112]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_17) ).
fof(f118,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f87,f112]) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_16) ).
fof(f117,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f82,f112]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_15) ).
fof(f116,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f77,f112]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_14) ).
fof(f115,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f72,f112]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_13) ).
fof(f110,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f97,f102]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_12) ).
fof(f109,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f92,f102]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_11) ).
fof(f108,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f87,f102]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_10) ).
fof(f107,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f82,f102]) ).
fof(f12,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_9) ).
fof(f106,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f77,f102]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_8) ).
fof(f100,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f97,f68]) ).
fof(f9,axiom,
( sk_c11 = inverse(sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_6) ).
fof(f95,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f92,f68]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_5) ).
fof(f90,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f87,f68]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c7)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_4) ).
fof(f85,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f82,f68]) ).
fof(f6,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_3) ).
fof(f80,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f77,f68]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.6SbCVpVzRh/Vampire---4.8_25612',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP242-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % 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
% 0.10/0.30 % Computer : n015.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 20:43:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.10/0.30 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.6SbCVpVzRh/Vampire---4.8_25612
% 0.60/0.78 % (25728)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78 % (25726)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78 % (25727)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 (2995ds/34Mi)
% 0.60/0.78 % (25723)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 (2995ds/34Mi)
% 0.60/0.78 % (25725)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (25724)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 (2995ds/51Mi)
% 0.60/0.78 % (25729)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 (2995ds/83Mi)
% 0.60/0.78 % (25730)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 (2995ds/56Mi)
% 0.60/0.78 % (25730)Refutation not found, incomplete strategy% (25730)------------------------------
% 0.60/0.78 % (25730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25730)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78 % (25723)Refutation not found, incomplete strategy% (25723)------------------------------
% 0.60/0.78 % (25723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25723)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (25723)Memory used [KB]: 1036
% 0.60/0.78 % (25723)Time elapsed: 0.004 s
% 0.60/0.78 % (25723)Instructions burned: 5 (million)
% 0.60/0.78
% 0.60/0.78 % (25730)Memory used [KB]: 1019
% 0.60/0.78 % (25730)Time elapsed: 0.004 s
% 0.60/0.78 % (25730)Instructions burned: 5 (million)
% 0.60/0.78 % (25726)Refutation not found, incomplete strategy% (25726)------------------------------
% 0.60/0.78 % (25726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25726)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (25726)Memory used [KB]: 1023
% 0.60/0.78 % (25726)Time elapsed: 0.004 s
% 0.60/0.78 % (25726)Instructions burned: 5 (million)
% 0.60/0.78 % (25727)Refutation not found, incomplete strategy% (25727)------------------------------
% 0.60/0.78 % (25727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (25727)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (25727)Memory used [KB]: 1101
% 0.60/0.78 % (25727)Time elapsed: 0.004 s
% 0.60/0.78 % (25727)Instructions burned: 6 (million)
% 0.60/0.78 % (25723)------------------------------
% 0.60/0.78 % (25723)------------------------------
% 0.60/0.78 % (25730)------------------------------
% 0.60/0.78 % (25730)------------------------------
% 0.60/0.78 % (25726)------------------------------
% 0.60/0.78 % (25726)------------------------------
% 0.60/0.78 % (25727)------------------------------
% 0.60/0.78 % (25727)------------------------------
% 0.60/0.78 % (25731)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 (2995ds/55Mi)
% 0.60/0.78 % (25733)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 (2995ds/208Mi)
% 0.60/0.78 % (25732)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 (2995ds/50Mi)
% 0.60/0.78 % (25734)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 (2995ds/52Mi)
% 0.60/0.79 % (25732)Refutation not found, incomplete strategy% (25732)------------------------------
% 0.60/0.79 % (25732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (25732)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (25732)Memory used [KB]: 1074
% 0.60/0.79 % (25732)Time elapsed: 0.005 s
% 0.60/0.79 % (25732)Instructions burned: 9 (million)
% 0.60/0.79 % (25732)------------------------------
% 0.60/0.79 % (25732)------------------------------
% 0.60/0.79 % (25735)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 (2995ds/518Mi)
% 0.60/0.79 % (25724)First to succeed.
% 0.60/0.80 % (25724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25720"
% 0.60/0.80 % (25728)Instruction limit reached!
% 0.60/0.80 % (25728)------------------------------
% 0.60/0.80 % (25728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (25728)Termination reason: Unknown
% 0.60/0.80 % (25728)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (25728)Memory used [KB]: 1607
% 0.60/0.80 % (25728)Time elapsed: 0.023 s
% 0.60/0.80 % (25728)Instructions burned: 47 (million)
% 0.60/0.80 % (25728)------------------------------
% 0.60/0.80 % (25728)------------------------------
% 0.60/0.80 % (25724)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (25724)------------------------------
% 0.60/0.80 % (25724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (25724)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (25724)Memory used [KB]: 1374
% 0.60/0.80 % (25724)Time elapsed: 0.023 s
% 0.60/0.80 % (25724)Instructions burned: 40 (million)
% 0.60/0.80 % (25720)Success in time 0.49 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------