TSTP Solution File: GRP278-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:22 EDT 2024

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  350 (   4 unt;   0 def)
%            Number of atoms       : 1628 ( 374 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 2555 (1277   ~;1262   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  136 ( 136   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3746,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f38,f43,f48,f53,f58,f59,f60,f61,f62,f67,f68,f69,f70,f71,f76,f77,f78,f79,f80,f90,f213,f1325,f1403,f1562,f1629,f1746,f2385,f2466,f3303,f3395,f3397,f3461,f3713,f3738]) ).

fof(f3738,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f3737]) ).

fof(f3737,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_14 ),
    inference(subsumption_resolution,[],[f3705,f3475]) ).

fof(f3475,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | spl0_14 ),
    inference(superposition,[],[f1374,f1814]) ).

fof(f1814,plain,
    ( sk_c5 = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f28,f57]) ).

fof(f57,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f28,plain,
    ( multiply(sk_c1,sk_c6) = sk_c5
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1374,plain,
    ( identity != sk_c5
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1372,plain,
    ( spl0_14
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f3705,plain,
    ( identity = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3491,f3670]) ).

fof(f3670,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3669,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',left_identity) ).

fof(f3669,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3668,f3491]) ).

fof(f3668,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(multiply(sk_c1,multiply(sk_c1,inverse(sk_c1))),X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3667,f3608]) ).

fof(f3608,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3607,f1]) ).

fof(f3607,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(sk_c1,multiply(identity,X0)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3606,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',associativity) ).

fof(f3606,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(multiply(sk_c1,identity),X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f3580]) ).

fof(f3580,plain,
    ( sk_c1 = multiply(sk_c1,multiply(sk_c1,identity))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3568,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',left_inverse) ).

fof(f3568,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3567,f1]) ).

fof(f3567,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3566,f3]) ).

fof(f3566,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(multiply(sk_c1,inverse(sk_c1)),X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f3491]) ).

fof(f3667,plain,
    ( ! [X0] : multiply(multiply(sk_c1,multiply(sk_c1,inverse(sk_c1))),X0) = multiply(sk_c1,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3666,f3585]) ).

fof(f3585,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3581,f3568]) ).

fof(f3581,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3568,f3478]) ).

fof(f3478,plain,
    ( ! [X0] : multiply(sk_c1,multiply(inverse(sk_c1),X0)) = multiply(inverse(sk_c1),multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3477,f3]) ).

fof(f3477,plain,
    ( ! [X0] : multiply(multiply(sk_c1,inverse(sk_c1)),X0) = multiply(inverse(sk_c1),multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f3307]) ).

fof(f3307,plain,
    ( multiply(sk_c1,inverse(sk_c1)) = multiply(inverse(sk_c1),sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3263,f1814]) ).

fof(f3263,plain,
    ( sk_c5 = multiply(inverse(sk_c1),sk_c4)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f75,f57]) ).

fof(f75,plain,
    ( sk_c5 = multiply(sk_c6,sk_c4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_9
  <=> sk_c5 = multiply(sk_c6,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3666,plain,
    ( ! [X0] : multiply(multiply(sk_c1,multiply(sk_c1,inverse(sk_c1))),X0) = multiply(sk_c1,multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3665,f3610]) ).

fof(f3610,plain,
    ( ! [X0] : multiply(sk_c1,multiply(inverse(sk_c1),X0)) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3522,f3568]) ).

fof(f3522,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3521,f1]) ).

fof(f3521,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3515,f3]) ).

fof(f3515,plain,
    ( ! [X0] : multiply(multiply(sk_c1,identity),X0) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3499,f2]) ).

fof(f3499,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(inverse(sk_c1),X0)),X1) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(X0,X1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3498,f3478]) ).

fof(f3498,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(inverse(sk_c1),X0)),X1) = multiply(inverse(sk_c1),multiply(sk_c4,multiply(X0,X1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3497,f3]) ).

fof(f3497,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(inverse(sk_c1),X0)),X1) = multiply(inverse(sk_c1),multiply(multiply(sk_c4,X0),X1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f3478]) ).

fof(f3665,plain,
    ( ! [X0] : multiply(multiply(sk_c1,multiply(sk_c1,inverse(sk_c1))),X0) = multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c4,X0))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3664,f3663]) ).

fof(f3663,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(sk_c1,multiply(X0,X1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3662,f3568]) ).

fof(f3662,plain,
    ( ! [X0,X1] : multiply(sk_c1,multiply(X0,X1)) = multiply(multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))),X1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3661,f3608]) ).

fof(f3661,plain,
    ( ! [X0,X1] : multiply(sk_c1,multiply(X0,X1)) = multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))),X1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3660,f3608]) ).

fof(f3660,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))),X1) = multiply(sk_c1,multiply(sk_c1,multiply(X0,X1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3659,f3585]) ).

fof(f3659,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))),X1) = multiply(sk_c1,multiply(sk_c4,multiply(X0,X1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3658,f3]) ).

fof(f3658,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))),X1) = multiply(sk_c1,multiply(multiply(sk_c4,X0),X1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3649,f3610]) ).

fof(f3649,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0)))),X1) = multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),multiply(multiply(sk_c4,X0),X1))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3524,f3478]) ).

fof(f3524,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))),X1) = multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),multiply(X0,X1))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3523,f3478]) ).

fof(f3523,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))),X1) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c4,multiply(X0,X1))))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3516,f3]) ).

fof(f3516,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),X0))),X1) = multiply(sk_c1,multiply(inverse(sk_c1),multiply(multiply(sk_c4,X0),X1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3499,f3478]) ).

fof(f3664,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c4,X0)))) = multiply(sk_c1,multiply(multiply(sk_c1,multiply(sk_c1,inverse(sk_c1))),X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3650,f3]) ).

fof(f3650,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c1,multiply(inverse(sk_c1),multiply(sk_c4,X0)))) = multiply(multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,inverse(sk_c1)))),X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f3524,f3307]) ).

fof(f3491,plain,
    ( identity = multiply(sk_c1,multiply(sk_c1,inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3487,f3307]) ).

fof(f3487,plain,
    ( identity = multiply(sk_c1,multiply(inverse(sk_c1),sk_c4))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f3474]) ).

fof(f3474,plain,
    ( identity = multiply(multiply(sk_c1,inverse(sk_c1)),sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f3260]) ).

fof(f3260,plain,
    ( inverse(sk_c4) = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f66,f1814]) ).

fof(f66,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_8
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3713,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f3684]) ).

fof(f3684,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_17 ),
    inference(unit_resulting_resolution,[],[f1926,f3670]) ).

fof(f1926,plain,
    ( inverse(sk_c1) != multiply(sk_c1,inverse(sk_c1))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f1924,plain,
    ( spl0_17
  <=> inverse(sk_c1) = multiply(sk_c1,inverse(sk_c1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f3461,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f3460]) ).

fof(f3460,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f3452,f3389]) ).

fof(f3389,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3309,f3378]) ).

fof(f3378,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f3317,f1]) ).

fof(f3317,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f2,f3309]) ).

fof(f3309,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3260,f3287]) ).

fof(f3287,plain,
    ( identity = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1814,f1373]) ).

fof(f1373,plain,
    ( identity = sk_c5
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f3452,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f1730,f3436]) ).

fof(f3436,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f3433,f2]) ).

fof(f3433,plain,
    ( ! [X0] : multiply(inverse(sk_c1),X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3432,f1]) ).

fof(f3432,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c1),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3319,f3378]) ).

fof(f3319,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c1),multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f3308]) ).

fof(f3308,plain,
    ( identity = multiply(inverse(sk_c1),sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3307,f3287]) ).

fof(f1730,plain,
    ( identity != inverse(sk_c1)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1728]) ).

fof(f1728,plain,
    ( spl0_15
  <=> identity = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f3397,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f3396]) ).

fof(f3396,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | spl0_18 ),
    inference(subsumption_resolution,[],[f3375,f3389]) ).

fof(f3375,plain,
    ( identity != inverse(identity)
    | ~ spl0_14
    | spl0_18 ),
    inference(forward_demodulation,[],[f1930,f1373]) ).

fof(f1930,plain,
    ( sk_c5 != inverse(identity)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f1928]) ).

fof(f1928,plain,
    ( spl0_18
  <=> sk_c5 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f3395,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f3394]) ).

fof(f3394,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f3389,f3357]) ).

fof(f3357,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3356,f3287]) ).

fof(f3356,plain,
    ( inverse(identity) != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f3355,f3309]) ).

fof(f3355,plain,
    ( multiply(sk_c1,inverse(sk_c1)) != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f3345,f3287]) ).

fof(f3345,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | multiply(sk_c1,inverse(sk_c1)) != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f3255,f2]) ).

fof(f3255,plain,
    ( ! [X5] :
        ( multiply(X5,sk_c4) != multiply(sk_c1,inverse(sk_c1))
        | inverse(X5) != multiply(sk_c1,inverse(sk_c1)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3254,f1814]) ).

fof(f3254,plain,
    ( ! [X5] :
        ( multiply(X5,sk_c4) != multiply(sk_c1,inverse(sk_c1))
        | sk_c5 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f89,f1814]) ).

fof(f89,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,sk_c4)
        | sk_c5 != inverse(X5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_12
  <=> ! [X5] :
        ( sk_c5 != multiply(X5,sk_c4)
        | sk_c5 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3303,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3302,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f3298,f3274]) ).

fof(f3274,plain,
    ( identity != sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f3273,f3256]) ).

fof(f3256,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1925,f1729]) ).

fof(f1729,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f1728]) ).

fof(f1925,plain,
    ( inverse(sk_c1) = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1924]) ).

fof(f3273,plain,
    ( sk_c4 != multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3272,f1]) ).

fof(f3272,plain,
    ( sk_c4 != multiply(sk_c1,multiply(identity,identity))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3271,f1729]) ).

fof(f3271,plain,
    ( sk_c4 != multiply(sk_c1,multiply(inverse(sk_c1),identity))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3270,f3]) ).

fof(f3270,plain,
    ( sk_c4 != multiply(multiply(sk_c1,inverse(sk_c1)),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3269,f1814]) ).

fof(f3269,plain,
    ( sk_c4 != multiply(sk_c5,identity)
    | spl0_2
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3268,f1729]) ).

fof(f3268,plain,
    ( sk_c4 != multiply(sk_c5,inverse(sk_c1))
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f31,f57]) ).

fof(f31,plain,
    ( multiply(sk_c5,sk_c6) != sk_c4
    | spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_2
  <=> multiply(sk_c5,sk_c6) = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3298,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f1,f3267]) ).

fof(f3267,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f3266,f3256]) ).

fof(f3266,plain,
    ( multiply(identity,sk_c4) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3265,f1729]) ).

fof(f3265,plain,
    ( multiply(identity,sk_c4) = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3264,f1814]) ).

fof(f3264,plain,
    ( sk_c5 = multiply(identity,sk_c4)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f3263,f1729]) ).

fof(f2466,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2464,f1]) ).

fof(f2464,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2463,f2301]) ).

fof(f2301,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2296,f1729]) ).

fof(f2296,plain,
    ( identity = multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1373,f1814]) ).

fof(f2463,plain,
    ( identity != multiply(multiply(sk_c1,identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2462,f2432]) ).

fof(f2432,plain,
    ( identity = inverse(identity)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1929,f1373]) ).

fof(f1929,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f1928]) ).

fof(f2462,plain,
    ( identity != inverse(identity)
    | identity != multiply(multiply(sk_c1,identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2454,f2301]) ).

fof(f2454,plain,
    ( inverse(identity) != multiply(sk_c1,identity)
    | identity != multiply(multiply(sk_c1,identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f2452,f2287]) ).

fof(f2287,plain,
    ( multiply(sk_c1,identity) = inverse(multiply(sk_c1,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2286,f1]) ).

fof(f2286,plain,
    ( multiply(sk_c1,identity) = inverse(multiply(sk_c1,multiply(identity,identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2285,f1729]) ).

fof(f2285,plain,
    ( multiply(sk_c1,inverse(sk_c1)) = inverse(multiply(sk_c1,multiply(inverse(sk_c1),identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2284,f3]) ).

fof(f2284,plain,
    ( multiply(sk_c1,inverse(sk_c1)) = inverse(multiply(multiply(sk_c1,inverse(sk_c1)),identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2283,f1814]) ).

fof(f2283,plain,
    ( sk_c5 = inverse(multiply(sk_c5,identity))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2282,f1729]) ).

fof(f2282,plain,
    ( sk_c5 = inverse(multiply(sk_c5,inverse(sk_c1)))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1347,f57]) ).

fof(f1347,plain,
    ( sk_c5 = inverse(multiply(sk_c5,sk_c6))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f66,f32]) ).

fof(f32,plain,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f2452,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(identity)
        | identity != multiply(X0,identity) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2451,f2340]) ).

fof(f2340,plain,
    ( identity = sk_c1
    | ~ spl0_15 ),
    inference(superposition,[],[f2314,f1]) ).

fof(f2314,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_15 ),
    inference(superposition,[],[f2,f1729]) ).

fof(f2451,plain,
    ( ! [X0] :
        ( identity != multiply(X0,identity)
        | inverse(X0) != inverse(sk_c1) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2448,f1729]) ).

fof(f2448,plain,
    ( ! [X0] :
        ( inverse(sk_c1) != multiply(X0,identity)
        | inverse(X0) != inverse(sk_c1) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f2418,f57]) ).

fof(f2418,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,identity)
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2417,f2301]) ).

fof(f2417,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,multiply(sk_c1,identity))
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2390,f1729]) ).

fof(f2390,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,multiply(sk_c1,inverse(sk_c1)))
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f86,f1814]) ).

fof(f86,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c5)
        | sk_c6 != inverse(X4) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_11
  <=> ! [X4] :
        ( sk_c6 != multiply(X4,sk_c5)
        | sk_c6 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2385,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2383,f2301]) ).

fof(f2383,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2382,f1]) ).

fof(f2382,plain,
    ( identity != multiply(sk_c1,multiply(identity,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2381,f1729]) ).

fof(f2381,plain,
    ( identity != inverse(sk_c1)
    | identity != multiply(sk_c1,multiply(identity,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2354,f2301]) ).

fof(f2354,plain,
    ( inverse(sk_c1) != multiply(sk_c1,identity)
    | identity != multiply(sk_c1,multiply(identity,identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f2324,f2287]) ).

fof(f2324,plain,
    ( ! [X0,X1] :
        ( inverse(sk_c1) != inverse(multiply(X0,X1))
        | identity != multiply(X0,multiply(X1,identity)) )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2319,f1729]) ).

fof(f2319,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,inverse(sk_c1)))
        | inverse(sk_c1) != inverse(multiply(X0,X1)) )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f2273,f3]) ).

fof(f2273,plain,
    ( ! [X3] :
        ( identity != multiply(X3,inverse(sk_c1))
        | inverse(sk_c1) != inverse(X3) )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2272,f1373]) ).

fof(f2272,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,inverse(sk_c1))
        | inverse(sk_c1) != inverse(X3) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2243,f57]) ).

fof(f2243,plain,
    ( ! [X3] :
        ( inverse(sk_c1) != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f83,f57]) ).

fof(f83,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl0_10
  <=> ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1746,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1745]) ).

fof(f1745,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1721,f37]) ).

fof(f37,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_3
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1721,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1720]) ).

fof(f1720,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f1632,f118]) ).

fof(f118,plain,
    ( sk_c6 = multiply(sk_c2,multiply(sk_c6,sk_c6))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f42,f105]) ).

fof(f105,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f100,f42]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f99,f1]) ).

fof(f99,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f91]) ).

fof(f91,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f37]) ).

fof(f42,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_4
  <=> sk_c6 = multiply(sk_c2,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1632,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,multiply(sk_c6,sk_c6))
        | sk_c6 != inverse(X4) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f86,f105]) ).

fof(f1629,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1628]) ).

fof(f1628,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1627,f47]) ).

fof(f47,plain,
    ( sk_c5 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_5
  <=> sk_c5 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1627,plain,
    ( sk_c5 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1580,f303]) ).

fof(f303,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f299,f91]) ).

fof(f299,plain,
    ( multiply(sk_c6,sk_c2) = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f143,f275]) ).

fof(f275,plain,
    ( sk_c2 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f247,f91]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f135,f100]) ).

fof(f135,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,X0)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f134,f100]) ).

fof(f134,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,X0))) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c2,X0)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f133,f3]) ).

fof(f133,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),multiply(sk_c2,X0)) = multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,X0)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f132,f3]) ).

fof(f132,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),multiply(sk_c2,X0)) = multiply(sk_c3,multiply(multiply(sk_c6,sk_c6),X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f124,f105]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f97,f100]) ).

fof(f97,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c5,multiply(sk_c6,X0)))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f96,f3]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(multiply(sk_c5,sk_c6),X0))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f95,f32]) ).

fof(f95,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f52]) ).

fof(f52,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_6
  <=> sk_c5 = multiply(sk_c3,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f93,f102]) ).

fof(f102,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f101,f1]) ).

fof(f101,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f92]) ).

fof(f92,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f47]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f42]) ).

fof(f1580,plain,
    ( identity != multiply(sk_c2,identity)
    | sk_c5 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f1538,f276]) ).

fof(f276,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c3,X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f247,f100]) ).

fof(f1538,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1537,f1244]) ).

fof(f1244,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1059,f388]) ).

fof(f388,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f37,f375]) ).

fof(f375,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f374,f1]) ).

fof(f374,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f340,f303]) ).

fof(f340,plain,
    ( sk_c2 = multiply(multiply(sk_c2,identity),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f275,f288]) ).

fof(f288,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f287,f285]) ).

fof(f285,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f284,f276]) ).

fof(f284,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f277,f276]) ).

fof(f277,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f247,f143]) ).

fof(f287,plain,
    ( sk_c3 = multiply(sk_c2,multiply(sk_c2,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f279,f276]) ).

fof(f279,plain,
    ( sk_c3 = multiply(sk_c3,multiply(sk_c2,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f247,f108]) ).

fof(f108,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c2,identity)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f93,f92]) ).

fof(f1059,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f993,f2]) ).

fof(f993,plain,
    ( sk_c6 = multiply(inverse(multiply(sk_c6,sk_c6)),multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f955,f208]) ).

fof(f208,plain,
    ( multiply(sk_c6,sk_c6) = multiply(multiply(sk_c6,sk_c6),sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f207,f105]) ).

fof(f207,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f206,f188]) ).

fof(f188,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c6,multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f187,f93]) ).

fof(f187,plain,
    ( multiply(sk_c6,multiply(sk_c6,sk_c6)) = multiply(sk_c2,multiply(sk_c5,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f186,f32]) ).

fof(f186,plain,
    ( multiply(sk_c6,multiply(sk_c6,sk_c6)) = multiply(sk_c2,sk_c4)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f180,f105]) ).

fof(f180,plain,
    ( multiply(sk_c2,sk_c4) = multiply(sk_c6,sk_c5)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f143,f52]) ).

fof(f206,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f202,f149]) ).

fof(f149,plain,
    ( multiply(sk_c6,multiply(sk_c6,sk_c6)) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f148,f3]) ).

fof(f148,plain,
    ( multiply(multiply(sk_c6,sk_c6),sk_c6) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f147,f3]) ).

fof(f147,plain,
    ( multiply(multiply(sk_c6,sk_c6),sk_c6) = multiply(multiply(sk_c6,sk_c6),multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f141,f105]) ).

fof(f141,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f102,f94]) ).

fof(f94,plain,
    ( sk_c5 = multiply(sk_c3,multiply(sk_c5,sk_c6))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f52,f32]) ).

fof(f202,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f146,f32]) ).

fof(f146,plain,
    ( sk_c4 = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f145,f3]) ).

fof(f145,plain,
    ( sk_c4 = multiply(multiply(sk_c6,sk_c6),multiply(sk_c6,sk_c6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f140,f105]) ).

fof(f140,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f102,f52]) ).

fof(f955,plain,
    ( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f929,f3]) ).

fof(f929,plain,
    ( ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f928,f399]) ).

fof(f399,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f398,f388]) ).

fof(f398,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f100,f375]) ).

fof(f928,plain,
    ( ! [X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(identity),X1)) = X1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f912,f388]) ).

fof(f912,plain,
    ( ! [X0,X1] : multiply(multiply(inverse(X0),X0),multiply(sk_c6,X1)) = X1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f373,f2]) ).

fof(f373,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f339,f303]) ).

fof(f339,plain,
    ( ! [X0] : multiply(multiply(sk_c2,identity),multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f247,f288]) ).

fof(f1537,plain,
    ( ! [X5] :
        ( inverse(identity) != multiply(X5,identity)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1536,f399]) ).

fof(f1536,plain,
    ( ! [X5] :
        ( multiply(inverse(identity),inverse(identity)) != multiply(X5,identity)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1535,f2]) ).

fof(f1535,plain,
    ( ! [X5] :
        ( multiply(inverse(identity),inverse(identity)) != multiply(X5,multiply(inverse(identity),identity))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1534,f388]) ).

fof(f1534,plain,
    ( ! [X5] :
        ( multiply(sk_c6,sk_c6) != multiply(X5,multiply(sk_c6,identity))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1533,f195]) ).

fof(f195,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,multiply(sk_c6,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f183,f119]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c6,multiply(sk_c6,X0)))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f114,f3]) ).

fof(f114,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(multiply(sk_c6,sk_c6),X0))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f93,f105]) ).

fof(f183,plain,
    ( multiply(sk_c6,multiply(sk_c6,identity)) = multiply(sk_c2,multiply(sk_c6,multiply(sk_c6,identity)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f143,f131]) ).

fof(f131,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,identity)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f130,f91]) ).

fof(f130,plain,
    ( multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,identity))) = multiply(sk_c6,multiply(sk_c6,sk_c2))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f129,f3]) ).

fof(f129,plain,
    ( multiply(multiply(sk_c6,sk_c6),sk_c2) = multiply(sk_c3,multiply(sk_c6,multiply(sk_c6,identity)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f128,f3]) ).

fof(f128,plain,
    ( multiply(multiply(sk_c6,sk_c6),sk_c2) = multiply(sk_c3,multiply(multiply(sk_c6,sk_c6),identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f123,f105]) ).

fof(f123,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c3,multiply(sk_c5,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f97,f91]) ).

fof(f1533,plain,
    ( ! [X5] :
        ( multiply(sk_c6,sk_c6) != multiply(X5,multiply(sk_c6,multiply(sk_c6,identity)))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1532,f3]) ).

fof(f1532,plain,
    ( ! [X5] :
        ( multiply(sk_c6,sk_c6) != multiply(X5,multiply(multiply(sk_c6,sk_c6),identity))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1531,f105]) ).

fof(f1531,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,multiply(sk_c5,identity))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1530,f1244]) ).

fof(f1530,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,multiply(sk_c5,inverse(identity)))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1529,f388]) ).

fof(f1529,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,multiply(sk_c5,sk_c6))
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f89,f32]) ).

fof(f1562,plain,
    ( spl0_14
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1561,f50,f45,f40,f35,f30,f1372]) ).

fof(f1561,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1560,f1]) ).

fof(f1560,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1559,f303]) ).

fof(f1559,plain,
    ( sk_c5 = multiply(multiply(sk_c2,identity),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1558,f288]) ).

fof(f1558,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1542,f1244]) ).

fof(f1542,plain,
    ( sk_c5 = multiply(sk_c3,inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f52,f1198]) ).

fof(f1198,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1197,f399]) ).

fof(f1197,plain,
    ( sk_c4 = multiply(inverse(identity),inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1196,f388]) ).

fof(f1196,plain,
    ( sk_c4 = multiply(sk_c6,inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1195,f254]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f251,f119]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c2,multiply(sk_c6,multiply(sk_c6,X0)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f143,f135]) ).

fof(f1195,plain,
    ( sk_c4 = multiply(sk_c6,multiply(sk_c6,inverse(identity)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1194,f3]) ).

fof(f1194,plain,
    ( sk_c4 = multiply(multiply(sk_c6,sk_c6),inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1193,f105]) ).

fof(f1193,plain,
    ( sk_c4 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1192,f47]) ).

fof(f1192,plain,
    ( sk_c4 = multiply(inverse(sk_c3),inverse(identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1191,f388]) ).

fof(f1191,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1190,f384]) ).

fof(f384,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f378,f247]) ).

fof(f378,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c3,multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f135,f188]) ).

fof(f1190,plain,
    ( sk_c4 = multiply(inverse(sk_c3),multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1031,f105]) ).

fof(f1031,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f955,f52]) ).

fof(f1403,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1402]) ).

fof(f1402,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1401,f1244]) ).

fof(f1401,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1400,f303]) ).

fof(f1400,plain,
    ( identity != inverse(multiply(sk_c2,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1399,f288]) ).

fof(f1399,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1398,f1059]) ).

fof(f1398,plain,
    ( identity != sk_c6
    | identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1397,f384]) ).

fof(f1397,plain,
    ( identity != multiply(sk_c6,sk_c6)
    | identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1396,f105]) ).

fof(f1396,plain,
    ( identity != sk_c5
    | identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1363,f303]) ).

fof(f1363,plain,
    ( sk_c5 != multiply(sk_c2,identity)
    | identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1346,f276]) ).

fof(f1346,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1345,f1244]) ).

fof(f1345,plain,
    ( ! [X3] :
        ( sk_c5 != multiply(X3,inverse(identity))
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1344,f388]) ).

fof(f1344,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1343,f1244]) ).

fof(f1343,plain,
    ( ! [X3] :
        ( inverse(X3) != inverse(identity)
        | sk_c5 != multiply(X3,sk_c6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f83,f388]) ).

fof(f1325,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1324,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1323,f1244]) ).

fof(f1323,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f1266,f1]) ).

fof(f1266,plain,
    ( multiply(identity,identity) != inverse(multiply(identity,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(superposition,[],[f226,f1059]) ).

fof(f226,plain,
    ( multiply(sk_c6,sk_c6) != inverse(multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f225,f188]) ).

fof(f225,plain,
    ( multiply(sk_c6,sk_c6) != inverse(multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f224,f3]) ).

fof(f224,plain,
    ( multiply(sk_c6,sk_c6) != inverse(multiply(multiply(sk_c6,sk_c6),sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f223,f105]) ).

fof(f223,plain,
    ( sk_c5 != inverse(multiply(sk_c5,sk_c6))
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f65,f32]) ).

fof(f65,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f213,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f212]) ).

fof(f212,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f211,f105]) ).

fof(f211,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f210,f188]) ).

fof(f210,plain,
    ( sk_c5 != multiply(sk_c6,multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f209,f149]) ).

fof(f209,plain,
    ( sk_c5 != multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f203,f153]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,X0))) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,X0))))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f152,f3]) ).

fof(f152,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,X0))))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f151,f3]) ).

fof(f151,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c6,multiply(multiply(sk_c6,sk_c6),X0)))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f150,f3]) ).

fof(f150,plain,
    ( ! [X0] : multiply(multiply(sk_c6,sk_c6),multiply(sk_c6,X0)) = multiply(multiply(sk_c6,sk_c6),multiply(multiply(sk_c6,sk_c6),X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f142,f105]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f102,f97]) ).

fof(f203,plain,
    ( sk_c5 != multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,sk_c6))))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f74,f146]) ).

fof(f74,plain,
    ( sk_c5 != multiply(sk_c6,sk_c4)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f90,plain,
    ( spl0_10
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f24,f88,f85,f30,f73,f64,f82]) ).

fof(f24,axiom,
    ! [X3,X4,X5] :
      ( sk_c5 != multiply(X5,sk_c4)
      | sk_c5 != inverse(X5)
      | sk_c6 != multiply(X4,sk_c5)
      | sk_c6 != inverse(X4)
      | multiply(sk_c5,sk_c6) != sk_c4
      | sk_c5 != multiply(sk_c6,sk_c4)
      | sk_c5 != inverse(sk_c4)
      | sk_c6 != inverse(X3)
      | sk_c5 != multiply(X3,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_21) ).

fof(f80,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f50,f73]) ).

fof(f23,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | sk_c5 = multiply(sk_c6,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_20) ).

fof(f79,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f45,f73]) ).

fof(f22,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c6,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_19) ).

fof(f78,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f40,f73]) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c5 = multiply(sk_c6,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_18) ).

fof(f77,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f35,f73]) ).

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_17) ).

fof(f76,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f30,f73]) ).

fof(f19,axiom,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | sk_c5 = multiply(sk_c6,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_16) ).

fof(f71,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f50,f64]) ).

fof(f18,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_15) ).

fof(f70,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f45,f64]) ).

fof(f17,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_14) ).

fof(f69,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f40,f64]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_13) ).

fof(f68,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f35,f64]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_12) ).

fof(f67,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f30,f64]) ).

fof(f14,axiom,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_11) ).

fof(f62,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f13,f50,f55]) ).

fof(f13,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_10) ).

fof(f61,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f45,f55]) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_9) ).

fof(f60,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f40,f55]) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_8) ).

fof(f59,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f35,f55]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_7) ).

fof(f58,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f30,f55]) ).

fof(f9,axiom,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_6) ).

fof(f53,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f50,f26]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_5) ).

fof(f48,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f45,f26]) ).

fof(f7,axiom,
    ( sk_c5 = inverse(sk_c3)
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_4) ).

fof(f43,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f40,f26]) ).

fof(f6,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_3) ).

fof(f38,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f35,f26]) ).

fof(f5,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_2) ).

fof(f33,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f30,f26]) ).

fof(f4,axiom,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:20:03 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.fefoEdRrql/Vampire---4.8_25984
% 0.55/0.75  % (26245)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (26247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (26246)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75  % (26248)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (26249)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (26251)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75  % (26252)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75  % (26245)Refutation not found, incomplete strategy% (26245)------------------------------
% 0.55/0.75  % (26245)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26245)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26245)Memory used [KB]: 991
% 0.55/0.75  % (26245)Time elapsed: 0.003 s
% 0.55/0.75  % (26245)Instructions burned: 3 (million)
% 0.55/0.75  % (26245)------------------------------
% 0.55/0.75  % (26245)------------------------------
% 0.55/0.75  % (26248)Refutation not found, incomplete strategy% (26248)------------------------------
% 0.55/0.75  % (26248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26248)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26248)Memory used [KB]: 983
% 0.55/0.75  % (26248)Time elapsed: 0.003 s
% 0.55/0.75  % (26248)Instructions burned: 3 (million)
% 0.55/0.75  % (26248)------------------------------
% 0.55/0.75  % (26248)------------------------------
% 0.55/0.75  % (26252)Refutation not found, incomplete strategy% (26252)------------------------------
% 0.55/0.75  % (26252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26252)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26252)Memory used [KB]: 976
% 0.55/0.75  % (26252)Time elapsed: 0.003 s
% 0.55/0.75  % (26252)Instructions burned: 3 (million)
% 0.55/0.75  % (26252)------------------------------
% 0.55/0.75  % (26252)------------------------------
% 0.55/0.75  % (26249)Refutation not found, incomplete strategy% (26249)------------------------------
% 0.55/0.75  % (26249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26249)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26249)Memory used [KB]: 990
% 0.55/0.75  % (26249)Time elapsed: 0.004 s
% 0.55/0.75  % (26249)Instructions burned: 3 (million)
% 0.55/0.75  % (26249)------------------------------
% 0.55/0.75  % (26249)------------------------------
% 0.55/0.75  % (26247)Refutation not found, incomplete strategy% (26247)------------------------------
% 0.55/0.75  % (26247)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26247)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26247)Memory used [KB]: 1047
% 0.55/0.75  % (26247)Time elapsed: 0.004 s
% 0.55/0.75  % (26247)Instructions burned: 4 (million)
% 0.55/0.75  % (26247)------------------------------
% 0.55/0.75  % (26247)------------------------------
% 0.55/0.75  % (26251)Refutation not found, incomplete strategy% (26251)------------------------------
% 0.55/0.75  % (26251)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (26251)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (26251)Memory used [KB]: 1059
% 0.55/0.75  % (26251)Time elapsed: 0.004 s
% 0.55/0.75  % (26251)Instructions burned: 5 (million)
% 0.55/0.75  % (26251)------------------------------
% 0.55/0.75  % (26251)------------------------------
% 0.55/0.75  % (26253)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.75  % (26250)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (26255)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.76  % (26254)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.76  % (26253)Refutation not found, incomplete strategy% (26253)------------------------------
% 0.61/0.76  % (26253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26253)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26253)Memory used [KB]: 1057
% 0.61/0.76  % (26253)Time elapsed: 0.002 s
% 0.61/0.76  % (26253)Instructions burned: 5 (million)
% 0.61/0.76  % (26253)------------------------------
% 0.61/0.76  % (26253)------------------------------
% 0.61/0.76  % (26256)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.76  % (26250)Refutation not found, incomplete strategy% (26250)------------------------------
% 0.61/0.76  % (26250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26250)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26250)Memory used [KB]: 980
% 0.61/0.76  % (26250)Time elapsed: 0.004 s
% 0.61/0.76  % (26250)Instructions burned: 4 (million)
% 0.61/0.76  % (26250)------------------------------
% 0.61/0.76  % (26250)------------------------------
% 0.61/0.76  % (26258)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.61/0.76  % (26254)Refutation not found, incomplete strategy% (26254)------------------------------
% 0.61/0.76  % (26254)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26254)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26254)Memory used [KB]: 985
% 0.61/0.76  % (26254)Time elapsed: 0.003 s
% 0.61/0.76  % (26254)Instructions burned: 4 (million)
% 0.61/0.76  % (26254)------------------------------
% 0.61/0.76  % (26254)------------------------------
% 0.61/0.76  % (26259)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.61/0.76  % (26257)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.76  % (26258)Refutation not found, incomplete strategy% (26258)------------------------------
% 0.61/0.76  % (26258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26258)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26258)Memory used [KB]: 998
% 0.61/0.76  % (26258)Time elapsed: 0.004 s
% 0.61/0.76  % (26258)Instructions burned: 3 (million)
% 0.61/0.76  % (26258)------------------------------
% 0.61/0.76  % (26258)------------------------------
% 0.61/0.76  % (26259)Refutation not found, incomplete strategy% (26259)------------------------------
% 0.61/0.76  % (26259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26259)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26259)Memory used [KB]: 1077
% 0.61/0.76  % (26259)Time elapsed: 0.004 s
% 0.61/0.76  % (26259)Instructions burned: 8 (million)
% 0.61/0.76  % (26259)------------------------------
% 0.61/0.76  % (26259)------------------------------
% 0.61/0.76  % (26261)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.61/0.76  % (26262)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.61/0.76  % (26261)Refutation not found, incomplete strategy% (26261)------------------------------
% 0.61/0.76  % (26261)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26261)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26261)Memory used [KB]: 993
% 0.61/0.76  % (26261)Time elapsed: 0.004 s
% 0.61/0.76  % (26261)Instructions burned: 3 (million)
% 0.61/0.76  % (26261)------------------------------
% 0.61/0.76  % (26261)------------------------------
% 0.61/0.76  % (26263)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.61/0.76  % (26260)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.61/0.76  % (26263)Refutation not found, incomplete strategy% (26263)------------------------------
% 0.61/0.76  % (26263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (26263)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (26263)Memory used [KB]: 977
% 0.61/0.76  % (26263)Time elapsed: 0.002 s
% 0.61/0.76  % (26263)Instructions burned: 3 (million)
% 0.61/0.76  % (26263)------------------------------
% 0.61/0.76  % (26263)------------------------------
% 0.61/0.77  % (26260)Refutation not found, incomplete strategy% (26260)------------------------------
% 0.61/0.77  % (26260)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (26260)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (26260)Memory used [KB]: 977
% 0.61/0.77  % (26260)Time elapsed: 0.004 s
% 0.61/0.77  % (26260)Instructions burned: 3 (million)
% 0.61/0.77  % (26260)------------------------------
% 0.61/0.77  % (26260)------------------------------
% 0.61/0.77  % (26265)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.61/0.77  % (26264)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.61/0.77  % (26265)Refutation not found, incomplete strategy% (26265)------------------------------
% 0.61/0.77  % (26265)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (26265)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (26265)Memory used [KB]: 1047
% 0.61/0.77  % (26265)Time elapsed: 0.002 s
% 0.61/0.77  % (26265)Instructions burned: 4 (million)
% 0.61/0.77  % (26265)------------------------------
% 0.61/0.77  % (26265)------------------------------
% 0.61/0.77  % (26264)Refutation not found, incomplete strategy% (26264)------------------------------
% 0.61/0.77  % (26264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (26264)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (26264)Memory used [KB]: 1056
% 0.61/0.77  % (26264)Time elapsed: 0.004 s
% 0.61/0.77  % (26264)Instructions burned: 5 (million)
% 0.61/0.77  % (26264)------------------------------
% 0.61/0.77  % (26264)------------------------------
% 0.61/0.77  % (26266)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.77  % (26266)Refutation not found, incomplete strategy% (26266)------------------------------
% 0.61/0.77  % (26266)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (26266)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (26266)Memory used [KB]: 998
% 0.61/0.77  % (26266)Time elapsed: 0.002 s
% 0.61/0.77  % (26266)Instructions burned: 4 (million)
% 0.61/0.77  % (26266)------------------------------
% 0.61/0.77  % (26266)------------------------------
% 0.61/0.77  % (26267)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.61/0.78  % (26269)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.61/0.78  % (26268)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.61/0.78  % (26246)Instruction limit reached!
% 0.61/0.78  % (26246)------------------------------
% 0.61/0.78  % (26246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (26246)Termination reason: Unknown
% 0.61/0.78  % (26246)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26246)Memory used [KB]: 1502
% 0.61/0.78  % (26246)Time elapsed: 0.029 s
% 0.61/0.78  % (26246)Instructions burned: 51 (million)
% 0.61/0.78  % (26246)------------------------------
% 0.61/0.78  % (26246)------------------------------
% 0.61/0.78  % (26268)Refutation not found, incomplete strategy% (26268)------------------------------
% 0.61/0.78  % (26268)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (26268)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (26268)Memory used [KB]: 990
% 0.61/0.78  % (26268)Time elapsed: 0.004 s
% 0.61/0.78  % (26268)Instructions burned: 3 (million)
% 0.61/0.78  % (26268)------------------------------
% 0.61/0.78  % (26268)------------------------------
% 0.61/0.78  % (26270)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.61/0.78  % (26271)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.61/0.78  % (26256)Instruction limit reached!
% 0.61/0.78  % (26256)------------------------------
% 0.61/0.78  % (26256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (26256)Termination reason: Unknown
% 0.61/0.78  % (26256)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26256)Memory used [KB]: 1403
% 0.61/0.78  % (26256)Time elapsed: 0.031 s
% 0.61/0.78  % (26256)Instructions burned: 52 (million)
% 0.61/0.78  % (26256)------------------------------
% 0.61/0.78  % (26256)------------------------------
% 0.61/0.79  % (26272)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.61/0.80  % (26270)Instruction limit reached!
% 0.61/0.80  % (26270)------------------------------
% 0.61/0.80  % (26270)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (26270)Termination reason: Unknown
% 0.61/0.80  % (26270)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (26270)Memory used [KB]: 1179
% 0.61/0.80  % (26270)Time elapsed: 0.019 s
% 0.61/0.80  % (26270)Instructions burned: 35 (million)
% 0.61/0.80  % (26270)------------------------------
% 0.61/0.80  % (26270)------------------------------
% 0.61/0.80  % (26267)Instruction limit reached!
% 0.61/0.80  % (26267)------------------------------
% 0.61/0.80  % (26267)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (26267)Termination reason: Unknown
% 0.61/0.80  % (26267)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (26267)Memory used [KB]: 1190
% 0.61/0.80  % (26267)Time elapsed: 0.027 s
% 0.61/0.80  % (26267)Instructions burned: 55 (million)
% 0.61/0.80  % (26267)------------------------------
% 0.61/0.80  % (26267)------------------------------
% 0.61/0.80  % (26273)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.80  % (26274)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.61/0.80  % (26273)Refutation not found, incomplete strategy% (26273)------------------------------
% 0.61/0.80  % (26273)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (26273)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (26273)Memory used [KB]: 973
% 0.61/0.80  % (26273)Time elapsed: 0.004 s
% 0.61/0.80  % (26273)Instructions burned: 3 (million)
% 0.61/0.80  % (26273)------------------------------
% 0.61/0.80  % (26273)------------------------------
% 0.61/0.81  % (26274)Refutation not found, incomplete strategy% (26274)------------------------------
% 0.61/0.81  % (26274)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26274)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (26274)Memory used [KB]: 994
% 0.61/0.81  % (26274)Time elapsed: 0.004 s
% 0.61/0.81  % (26274)Instructions burned: 4 (million)
% 0.61/0.81  % (26274)------------------------------
% 0.61/0.81  % (26274)------------------------------
% 0.61/0.81  % (26269)Instruction limit reached!
% 0.61/0.81  % (26269)------------------------------
% 0.61/0.81  % (26269)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26269)Termination reason: Unknown
% 0.61/0.81  % (26269)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26269)Memory used [KB]: 2311
% 0.61/0.81  % (26269)Time elapsed: 0.032 s
% 0.61/0.81  % (26269)Instructions burned: 103 (million)
% 0.61/0.81  % (26269)------------------------------
% 0.61/0.81  % (26269)------------------------------
% 0.61/0.81  % (26275)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.61/0.81  % (26277)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.81  % (26276)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.61/0.81  % (26262)Instruction limit reached!
% 0.61/0.81  % (26262)------------------------------
% 0.61/0.81  % (26262)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (26262)Termination reason: Unknown
% 0.61/0.81  % (26262)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26262)Memory used [KB]: 1868
% 0.61/0.81  % (26262)Time elapsed: 0.051 s
% 0.61/0.81  % (26262)Instructions burned: 93 (million)
% 0.61/0.81  % (26262)------------------------------
% 0.61/0.81  % (26262)------------------------------
% 0.61/0.82  % (26278)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.61/0.82  % (26271)Instruction limit reached!
% 0.61/0.82  % (26271)------------------------------
% 0.61/0.82  % (26271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (26271)Termination reason: Unknown
% 0.61/0.82  % (26271)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (26271)Memory used [KB]: 1441
% 0.61/0.82  % (26271)Time elapsed: 0.042 s
% 0.61/0.82  % (26271)Instructions burned: 88 (million)
% 0.61/0.82  % (26271)------------------------------
% 0.61/0.82  % (26271)------------------------------
% 0.61/0.83  % (26279)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.61/0.83  % (26275)Instruction limit reached!
% 0.61/0.83  % (26275)------------------------------
% 0.61/0.83  % (26275)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (26275)Termination reason: Unknown
% 0.61/0.83  % (26275)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (26275)Memory used [KB]: 1553
% 0.61/0.83  % (26275)Time elapsed: 0.023 s
% 0.61/0.83  % (26275)Instructions burned: 40 (million)
% 0.61/0.83  % (26275)------------------------------
% 0.61/0.83  % (26275)------------------------------
% 0.61/0.83  % (26280)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.83  % (26257)First to succeed.
% 0.61/0.84  % (26272)Also succeeded, but the first one will report.
% 0.61/0.84  % (26257)Refutation found. Thanks to Tanya!
% 0.61/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.84  % (26257)------------------------------
% 0.61/0.84  % (26257)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (26257)Termination reason: Refutation
% 0.61/0.84  
% 0.61/0.84  % (26257)Memory used [KB]: 1934
% 0.61/0.84  % (26257)Time elapsed: 0.082 s
% 0.61/0.84  % (26257)Instructions burned: 153 (million)
% 0.61/0.84  % (26257)------------------------------
% 0.61/0.84  % (26257)------------------------------
% 0.61/0.84  % (26241)Success in time 0.478 s
% 0.61/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------