TSTP Solution File: GRP380-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP380-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 69
% Syntax : Number of formulae : 314 ( 8 unt; 0 def)
% Number of atoms : 1265 ( 440 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1879 ( 928 ~; 924 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1069,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f81,f86,f95,f100,f101,f115,f116,f122,f123,f124,f129,f134,f135,f136,f144,f149,f152,f153,f154,f155,f167,f168,f169,f172,f173,f177,f178,f180,f182,f184,f188,f190,f191,f192,f193,f195,f196,f198,f199,f200,f201,f369,f379,f396,f683,f697,f707,f741,f793,f890,f903,f906,f958,f974,f1068]) ).
fof(f1068,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1066,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1066,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(superposition,[],[f992,f879]) ).
fof(f879,plain,
( identity = inverse(identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_demodulation,[],[f819,f850]) ).
fof(f850,plain,
( identity = sk_c11
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_demodulation,[],[f842,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f842,plain,
( sk_c11 = multiply(inverse(identity),identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(backward_demodulation,[],[f800,f815]) ).
fof(f815,plain,
( identity = sk_c10
| ~ spl3_4
| ~ spl3_8 ),
inference(forward_demodulation,[],[f804,f2]) ).
fof(f804,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c2)
| ~ spl3_4
| ~ spl3_8 ),
inference(superposition,[],[f217,f756]) ).
fof(f756,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl3_4
| ~ spl3_8 ),
inference(forward_demodulation,[],[f754,f80]) ).
fof(f80,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_4
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f754,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c10)
| ~ spl3_8 ),
inference(superposition,[],[f217,f99]) ).
fof(f99,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl3_8
<=> sk_c10 = multiply(sk_c1,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f217,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f209,f1]) ).
fof(f209,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f800,plain,
( sk_c11 = multiply(inverse(sk_c10),identity)
| ~ spl3_7 ),
inference(superposition,[],[f217,f745]) ).
fof(f745,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl3_7 ),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
( inverse(sk_c11) = sk_c10
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl3_7
<=> inverse(sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f819,plain,
( identity = inverse(sk_c11)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(backward_demodulation,[],[f94,f815]) ).
fof(f992,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f991,f879]) ).
fof(f991,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f990,f879]) ).
fof(f990,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f989,f879]) ).
fof(f989,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f988,f879]) ).
fof(f988,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f987,f879]) ).
fof(f987,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f986,f879]) ).
fof(f986,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f981,f235]) ).
fof(f235,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f217,f2]) ).
fof(f981,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity)
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(superposition,[],[f977,f1]) ).
fof(f977,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f976,f850]) ).
fof(f976,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f975,f815]) ).
fof(f975,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f158,f850]) ).
fof(f158,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl3_18
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f974,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f972,f1]) ).
fof(f972,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f968,f879]) ).
fof(f968,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(trivial_inequality_removal,[],[f967]) ).
fof(f967,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(superposition,[],[f961,f2]) ).
fof(f961,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f960,f815]) ).
fof(f960,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| identity != multiply(inverse(X3),identity) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f959,f815]) ).
fof(f959,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),identity)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f143,f778]) ).
fof(f778,plain,
( identity = sk_c9
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl3_31
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f143,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl3_16
<=> ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f958,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f956,f1]) ).
fof(f956,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f955]) ).
fof(f955,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(superposition,[],[f921,f879]) ).
fof(f921,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f920,f850]) ).
fof(f920,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f919,f815]) ).
fof(f919,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f176,f850]) ).
fof(f176,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl3_21
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f906,plain,
( ~ spl3_31
| ~ spl3_4
| ~ spl3_8
| spl3_33 ),
inference(avatar_split_clause,[],[f905,f786,f97,f78,f777]) ).
fof(f786,plain,
( spl3_33
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f905,plain,
( identity != sk_c9
| ~ spl3_4
| ~ spl3_8
| spl3_33 ),
inference(forward_demodulation,[],[f788,f815]) ).
fof(f788,plain,
( sk_c10 != sk_c9
| spl3_33 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f903,plain,
( spl3_31
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f902,f97,f92,f78,f65,f777]) ).
fof(f65,plain,
( spl3_1
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f902,plain,
( identity = sk_c9
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_demodulation,[],[f847,f850]) ).
fof(f847,plain,
( sk_c11 = sk_c9
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8 ),
inference(forward_demodulation,[],[f833,f233]) ).
fof(f233,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f217,f1]) ).
fof(f833,plain,
( sk_c9 = multiply(inverse(identity),sk_c11)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8 ),
inference(backward_demodulation,[],[f748,f815]) ).
fof(f748,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c11)
| ~ spl3_1 ),
inference(superposition,[],[f217,f67]) ).
fof(f67,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f890,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| spl3_34 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_8
| spl3_34 ),
inference(subsumption_resolution,[],[f841,f879]) ).
fof(f841,plain,
( identity != inverse(identity)
| ~ spl3_4
| ~ spl3_8
| spl3_34 ),
inference(backward_demodulation,[],[f792,f815]) ).
fof(f792,plain,
( sk_c10 != inverse(identity)
| spl3_34 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl3_34
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f793,plain,
( ~ spl3_33
| ~ spl3_34
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f761,f186,f790,f786]) ).
fof(f186,plain,
( spl3_22
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f761,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c9
| ~ spl3_22 ),
inference(superposition,[],[f187,f1]) ).
fof(f187,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f741,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f739,f1]) ).
fof(f739,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f738]) ).
fof(f738,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_22 ),
inference(superposition,[],[f710,f526]) ).
fof(f526,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f470,f522]) ).
fof(f522,plain,
( identity = sk_c11
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f289,f501]) ).
fof(f501,plain,
( identity = multiply(sk_c11,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f202,f467]) ).
fof(f467,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f466,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f237,f383]) ).
fof(f383,plain,
( identity = inverse(sk_c11)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f94,f276]) ).
fof(f276,plain,
( identity = sk_c10
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f274,f2]) ).
fof(f274,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl3_2
| ~ spl3_3 ),
inference(superposition,[],[f217,f248]) ).
fof(f248,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f239,f71]) ).
fof(f71,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_2
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f239,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| ~ spl3_3 ),
inference(superposition,[],[f217,f76]) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_3
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f237,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl3_2 ),
inference(superposition,[],[f217,f202]) ).
fof(f202,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl3_2 ),
inference(superposition,[],[f2,f71]) ).
fof(f289,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl3_2
| ~ spl3_3 ),
inference(backward_demodulation,[],[f248,f276]) ).
fof(f470,plain,
( sk_c11 = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f71,f467]) ).
fof(f710,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f709,f588]) ).
fof(f588,plain,
( identity = sk_c9
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(forward_demodulation,[],[f586,f2]) ).
fof(f586,plain,
( sk_c9 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(superposition,[],[f217,f529]) ).
fof(f529,plain,
( identity = multiply(identity,sk_c9)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7 ),
inference(backward_demodulation,[],[f521,f522]) ).
fof(f521,plain,
( sk_c11 = multiply(identity,sk_c9)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f67,f276]) ).
fof(f709,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c9 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f708,f276]) ).
fof(f708,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f187,f276]) ).
fof(f707,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f705,f1]) ).
fof(f705,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(superposition,[],[f700,f526]) ).
fof(f700,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f699,f276]) ).
fof(f699,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f698,f522]) ).
fof(f698,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f176,f522]) ).
fof(f697,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f696,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f691,f1]) ).
fof(f691,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(superposition,[],[f686,f526]) ).
fof(f686,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f685,f276]) ).
fof(f685,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),identity) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f684,f588]) ).
fof(f684,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| identity != multiply(X3,inverse(X3)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f143,f276]) ).
fof(f683,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f681,f1]) ).
fof(f681,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f680]) ).
fof(f680,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(superposition,[],[f624,f526]) ).
fof(f624,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f623,f526]) ).
fof(f623,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != inverse(X0) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f622,f1]) ).
fof(f622,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != inverse(X0)
| identity != multiply(identity,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f621,f526]) ).
fof(f621,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(identity,inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f620,f526]) ).
fof(f620,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f615,f2]) ).
fof(f615,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| identity != multiply(inverse(identity),identity)
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(superposition,[],[f531,f526]) ).
fof(f531,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f524,f522]) ).
fof(f524,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_18 ),
inference(backward_demodulation,[],[f397,f522]) ).
fof(f397,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9))) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f158,f276]) ).
fof(f396,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f390,f1]) ).
fof(f390,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f388,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f382,f336]) ).
fof(f336,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f323,f329]) ).
fof(f329,plain,
( identity = sk_c11
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f328,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f312,f320]) ).
fof(f320,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f316,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c5,sk_c11)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f257,f292]) ).
fof(f292,plain,
( sk_c11 = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f264,f279]) ).
fof(f279,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5 ),
inference(backward_demodulation,[],[f85,f276]) ).
fof(f85,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_5
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f264,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f263,f120]) ).
fof(f120,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl3_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f263,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f246,f253]) ).
fof(f253,plain,
( sk_c5 = sk_c6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f244,f243]) ).
fof(f243,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl3_12 ),
inference(superposition,[],[f217,f204]) ).
fof(f204,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl3_12 ),
inference(superposition,[],[f2,f120]) ).
fof(f244,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl3_14 ),
inference(superposition,[],[f217,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl3_14 ),
inference(superposition,[],[f2,f133]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl3_14
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f246,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl3_6 ),
inference(superposition,[],[f217,f205]) ).
fof(f205,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl3_6 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( inverse(sk_c7) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl3_6
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f257,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f205,f253]) ).
fof(f316,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f251,f311]) ).
fof(f311,plain,
( sk_c5 = sk_c8
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f262,f307]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f294,f303]) ).
fof(f303,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f302,f294]) ).
fof(f302,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_11 ),
inference(backward_demodulation,[],[f214,f300]) ).
fof(f300,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c11,X13)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5 ),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f285,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(identity,X13))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5 ),
inference(backward_demodulation,[],[f215,f276]) ).
fof(f215,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(sk_c10,X13))
| ~ spl3_5 ),
inference(superposition,[],[f3,f85]) ).
fof(f214,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c5,multiply(sk_c8,X12))
| ~ spl3_11 ),
inference(superposition,[],[f3,f114]) ).
fof(f114,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl3_11
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f260,f292]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f225,f253]) ).
fof(f225,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl3_6 ),
inference(forward_demodulation,[],[f224,f1]) ).
fof(f224,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl3_6 ),
inference(superposition,[],[f3,f205]) ).
fof(f262,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f252,f253]) ).
fof(f252,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f245,f90]) ).
fof(f245,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_17 ),
inference(superposition,[],[f217,f148]) ).
fof(f148,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl3_17
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f251,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f241,f120]) ).
fof(f241,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl3_11 ),
inference(superposition,[],[f217,f114]) ).
fof(f312,plain,
( sk_c11 = multiply(sk_c5,sk_c5)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f114,f311]) ).
fof(f323,plain,
( identity = inverse(sk_c11)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f296,f320]) ).
fof(f296,plain,
( inverse(sk_c11) = sk_c5
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f254,f292]) ).
fof(f254,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl3_6
| ~ spl3_12
| ~ spl3_14 ),
inference(backward_demodulation,[],[f90,f253]) ).
fof(f382,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f381,f276]) ).
fof(f381,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f380,f359]) ).
fof(f359,plain,
( identity = sk_c9
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f356,f1]) ).
fof(f356,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f281,f355]) ).
fof(f355,plain,
( identity = sk_c4
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f287,f2]) ).
fof(f287,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10 ),
inference(backward_demodulation,[],[f238,f276]) ).
fof(f238,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl3_10 ),
inference(superposition,[],[f217,f203]) ).
fof(f203,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl3_10 ),
inference(superposition,[],[f2,f109]) ).
fof(f109,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_10
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f281,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_13 ),
inference(backward_demodulation,[],[f128,f276]) ).
fof(f128,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl3_13
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f380,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| identity != multiply(X3,inverse(X3)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f143,f276]) ).
fof(f379,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f377,f336]) ).
fof(f377,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f376,f329]) ).
fof(f376,plain,
( identity != inverse(sk_c11)
| ~ spl3_2
| ~ spl3_3
| spl3_7 ),
inference(forward_demodulation,[],[f93,f276]) ).
fof(f93,plain,
( inverse(sk_c11) != sk_c10
| spl3_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f369,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f367,f329]) ).
fof(f367,plain,
( identity != sk_c11
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f366,f1]) ).
fof(f366,plain,
( sk_c11 != multiply(identity,identity)
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f277,f359]) ).
fof(f277,plain,
( sk_c11 != multiply(identity,sk_c9)
| spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(backward_demodulation,[],[f66,f276]) ).
fof(f66,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl3_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f201,plain,
( spl3_11
| spl3_4 ),
inference(avatar_split_clause,[],[f38,f78,f112]) ).
fof(f38,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f200,plain,
( spl3_14
| spl3_1 ),
inference(avatar_split_clause,[],[f22,f65,f131]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f199,plain,
( spl3_4
| spl3_13 ),
inference(avatar_split_clause,[],[f36,f126,f78]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f198,plain,
( spl3_13
| spl3_1 ),
inference(avatar_split_clause,[],[f16,f65,f126]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f196,plain,
( spl3_6
| spl3_1 ),
inference(avatar_split_clause,[],[f21,f65,f88]) ).
fof(f21,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f195,plain,
( spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f24,f74,f97]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f193,plain,
( spl3_5
| spl3_7 ),
inference(avatar_split_clause,[],[f10,f92,f83]) ).
fof(f10,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f192,plain,
( spl3_17
| spl3_4 ),
inference(avatar_split_clause,[],[f43,f78,f146]) ).
fof(f43,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f191,plain,
( spl3_8
| spl3_14 ),
inference(avatar_split_clause,[],[f32,f131,f97]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f190,plain,
( spl3_7
| spl3_11 ),
inference(avatar_split_clause,[],[f8,f112,f92]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f188,plain,
( spl3_19
| spl3_22 ),
inference(avatar_split_clause,[],[f60,f186,f160]) ).
fof(f160,plain,
( spl3_19
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f60,plain,
! [X6] :
( sk_c10 != inverse(X6)
| sP1
| sk_c9 != multiply(X6,sk_c10) ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f184,plain,
( spl3_8
| spl3_10 ),
inference(avatar_split_clause,[],[f27,f107,f97]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f182,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f20,f83,f65]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f180,plain,
( spl3_2
| spl3_7 ),
inference(avatar_split_clause,[],[f5,f92,f69]) ).
fof(f5,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f178,plain,
( spl3_12
| spl3_8 ),
inference(avatar_split_clause,[],[f29,f97,f118]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f177,plain,
( spl3_21
| spl3_20 ),
inference(avatar_split_clause,[],[f62,f164,f175]) ).
fof(f164,plain,
( spl3_20
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f62,plain,
! [X5] :
( sP2
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f173,plain,
( spl3_11
| spl3_1 ),
inference(avatar_split_clause,[],[f18,f65,f112]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f172,plain,
( spl3_4
| spl3_12 ),
inference(avatar_split_clause,[],[f39,f118,f78]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f169,plain,
( spl3_1
| spl3_17 ),
inference(avatar_split_clause,[],[f23,f146,f65]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f168,plain,
( spl3_10
| spl3_4 ),
inference(avatar_split_clause,[],[f37,f78,f107]) ).
fof(f37,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f167,plain,
( ~ spl3_15
| ~ spl3_7
| ~ spl3_1
| spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f63,f164,f160,f157,f65,f92,f138]) ).
fof(f138,plain,
( spl3_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f63,plain,
! [X9,X7] :
( ~ sP2
| ~ sP1
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| ~ sP0 ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f61,plain,
! [X9,X7,X5] :
( inverse(X7) != inverse(inverse(X9))
| inverse(sk_c11) != sk_c10
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f59,plain,
! [X6,X9,X7,X5] :
( sk_c10 != inverse(X6)
| inverse(X7) != inverse(inverse(X9))
| inverse(sk_c11) != sk_c10
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| ~ sP0 ),
inference(general_splitting,[],[f57,f58_D]) ).
fof(f58,plain,
! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9)
| sP0 ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f57,plain,
! [X3,X6,X9,X7,X5] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(inverse(X9))
| inverse(sk_c11) != sk_c10
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9))) ),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X3,X10,X6,X9,X7,X5] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(X10)
| inverse(sk_c11) != sk_c10
| multiply(X9,inverse(X10)) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(X9) != X10
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X10)) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(X10)
| inverse(sk_c11) != sk_c10
| multiply(X9,inverse(X10)) != X10
| inverse(X3) != X4
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,X4)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(X9) != X10
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X10)) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(X10) != X8
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| inverse(sk_c11) != sk_c10
| multiply(X9,X8) != X10
| inverse(X3) != X4
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,X4)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(X9) != X10
| sk_c11 != multiply(X8,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f155,plain,
( spl3_1
| spl3_10 ),
inference(avatar_split_clause,[],[f17,f107,f65]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f154,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f25,f97,f69]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f153,plain,
( spl3_8
| spl3_17 ),
inference(avatar_split_clause,[],[f33,f146,f97]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f152,plain,
( spl3_4
| spl3_14 ),
inference(avatar_split_clause,[],[f42,f131,f78]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f149,plain,
( spl3_7
| spl3_17 ),
inference(avatar_split_clause,[],[f13,f146,f92]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f144,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f58,f142,f138]) ).
fof(f136,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f65,f118]) ).
fof(f19,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f135,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f14,f65,f74]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f134,plain,
( spl3_14
| spl3_7 ),
inference(avatar_split_clause,[],[f12,f92,f131]) ).
fof(f12,axiom,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f129,plain,
( spl3_13
| spl3_8 ),
inference(avatar_split_clause,[],[f26,f97,f126]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c1,sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f124,plain,
( spl3_7
| spl3_12 ),
inference(avatar_split_clause,[],[f9,f118,f92]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f123,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f35,f78,f69]) ).
fof(f35,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f122,plain,
( spl3_8
| spl3_5 ),
inference(avatar_split_clause,[],[f30,f83,f97]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f116,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f4,f74,f92]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f115,plain,
( spl3_11
| spl3_8 ),
inference(avatar_split_clause,[],[f28,f97,f112]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f101,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f41,f88,f78]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f100,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f31,f97,f88]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c1,sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f95,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f11,f92,f88]) ).
fof(f11,axiom,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f86,plain,
( spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f40,f78,f83]) ).
fof(f40,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f81,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f34,f78,f74]) ).
fof(f34,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f72,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f69,f65]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP380-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.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 : Mon Aug 29 22:48:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (11547)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (11555)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (11529)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (11531)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (11527)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (11535)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11534)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (11534)Instruction limit reached!
% 0.20/0.53 % (11534)------------------------------
% 0.20/0.53 % (11534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11534)Termination reason: Unknown
% 0.20/0.53 % (11534)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (11534)Memory used [KB]: 895
% 0.20/0.53 % (11534)Time elapsed: 0.002 s
% 0.20/0.53 % (11534)Instructions burned: 2 (million)
% 0.20/0.53 % (11534)------------------------------
% 0.20/0.53 % (11534)------------------------------
% 0.20/0.53 % (11532)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11553)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (11528)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (11530)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11533)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (11545)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (11540)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (11546)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (11533)Instruction limit reached!
% 0.20/0.54 % (11533)------------------------------
% 0.20/0.54 % (11533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11533)Termination reason: Unknown
% 0.20/0.54 % (11533)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (11533)Memory used [KB]: 5628
% 0.20/0.54 % (11533)Time elapsed: 0.125 s
% 0.20/0.54 % (11533)Instructions burned: 8 (million)
% 0.20/0.54 % (11533)------------------------------
% 0.20/0.54 % (11533)------------------------------
% 0.20/0.54 % (11544)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (11526)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (11551)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (11539)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (11548)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (11537)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (11543)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (11536)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (11542)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (11554)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (11547)First to succeed.
% 0.20/0.55 % (11552)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (11550)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (11538)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (11541)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (11549)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (11547)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (11547)------------------------------
% 0.20/0.57 % (11547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (11547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (11547)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (11547)Memory used [KB]: 6012
% 0.20/0.57 % (11547)Time elapsed: 0.115 s
% 0.20/0.57 % (11547)Instructions burned: 34 (million)
% 0.20/0.57 % (11547)------------------------------
% 0.20/0.57 % (11547)------------------------------
% 0.20/0.57 % (11525)Success in time 0.202 s
%------------------------------------------------------------------------------