%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue Apr 30 11:58:56 EDT 2024

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  553 ( 103 unt;   0 def)
%            Number of atoms       : 1880 ( 827 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 2411 (1084   ~;1316   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  399 ( 399   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4063,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f184,f211,f644,f661,f808,f862,f865,f1274,f2739,f3134,f3304,f3314,f3358,f3361,f3364,f3369,f3373,f3378,f3385,f3504,f3509,f3511,f3538,f3540,f3543,f3717,f3871,f3876,f3885,f3888,f3890,f3892,f3894,f3896,f3898,f3900,f3902,f3905,f3908,f3911,f3914,f3916,f3919,f3922,f3925,f3928,f3930,f3932,f3934,f3936,f3938,f3940,f3942,f3944,f4056,f4058]) ).

fof(f4058,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4057]) ).

fof(f4057,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4049,f1272]) ).

fof(f1272,plain,
    ( sk_c7 != sk_c6
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f1271,plain,
    ( spl0_11
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4049,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3909,f875]) ).

fof(f875,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f872,f688]) ).

fof(f688,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f494,f210]) ).

fof(f210,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl0_6
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f494,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f479,f374]) ).

fof(f374,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f61,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f53,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f479,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f382,f374]) ).

fof(f382,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f872,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f807]) ).

fof(f807,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f805,plain,
    ( spl0_9
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3909,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f13,f42]) ).

fof(f42,plain,
    ( sk_c5 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f13,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f4056,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4055]) ).

fof(f4055,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4048,f1272]) ).

fof(f4048,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f875,f3909]) ).

fof(f3944,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3943]) ).

fof(f3943,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909,f806]) ).

fof(f806,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f3906,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f11,f42]) ).

fof(f3903,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f12,f42]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f3883,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f9,f42]) ).

fof(f3726,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f42,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f3725,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f42,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30]) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f33,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f2620,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f2009]) ).

fof(f2619,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f480,f2009]) ).

fof(f2617,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f2009]) ).

fof(f2616,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f61,f2009]) ).

fof(f2615,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f566,f2009]) ).

fof(f2614,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f2005,f2009]) ).

fof(f2593,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f2009,f3]) ).

fof(f2589,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f2009,f2009]) ).

fof(f2653,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f2588,f494]) ).

fof(f2588,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f2009,f2005]) ).

fof(f2009,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1748,f479]) ).

fof(f1748,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f480,f566]) ).

fof(f2529,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f2360]) ).

fof(f2528,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f61,f2360]) ).

fof(f2527,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f566,f2360]) ).

fof(f2526,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f2005,f2360]) ).

fof(f2523,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f2360,f3]) ).

fof(f2360,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f2182,f494]) ).

fof(f2372,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f2182]) ).

fof(f2371,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f61,f2182]) ).

fof(f2370,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f566,f2182]) ).

fof(f2369,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f2005,f2182]) ).

fof(f2333,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f2182,f480]) ).

fof(f2314,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f2182,f3]) ).

fof(f2182,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f2033,f494]) ).

fof(f2033,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f2005,f61]) ).

fof(f2084,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f2005]) ).

fof(f2083,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f480,f2005]) ).

fof(f2081,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f2005]) ).

fof(f2080,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f61,f2005]) ).

fof(f2308,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f2079,f494]) ).

fof(f2079,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f566,f2005]) ).

fof(f2061,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f2005,f3]) ).

fof(f2203,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f2040,f494]) ).

fof(f2040,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f2005,f2005]) ).

fof(f2034,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f2005,f480]) ).

fof(f2015,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f2005,f3]) ).

fof(f2005,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1745,f479]) ).

fof(f1745,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f61,f566]) ).

fof(f2010,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1749,f3]) ).

fof(f1749,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f566]) ).

fof(f2007,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f2006,f3]) ).

fof(f2006,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1746,f1]) ).

fof(f1746,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f566]) ).

fof(f1909,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1711,f3]) ).

fof(f1711,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f566,f3]) ).

fof(f1691,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f566,f3]) ).

fof(f1646,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f566,f3]) ).

fof(f566,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f478,f3]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f456,plain,
    identity = inverse(identity),
    inference(superposition,[],[f443,f374]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f28,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f26,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f24,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f35,plain,
    ! [X6,X4,X5] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X6)
      | sk_c7 != inverse(X5)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
      | sk_c7 != multiply(sk_c5,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X6)
      | sk_c7 != inverse(X5)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != multiply(sk_c7,X3)
      | sk_c7 != multiply(sk_c5,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5
      | multiply(X4,sk_c7) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f11,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f9,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f373,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f61,f1]) ).

fof(f459,plain,
    identity = inverse(identity),
    inference(superposition,[],[f374,f443]) ).

fof(f496,plain,
    identity = inverse(identity),
    inference(superposition,[],[f479,f2]) ).

fof(f647,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f497,f494]) ).

fof(f497,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f479,f443]) ).

fof(f503,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f479]) ).

fof(f646,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f504,f494]) ).

fof(f504,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f443,f479]) ).

fof(f563,plain,
    identity = inverse(identity),
    inference(superposition,[],[f478,f1]) ).

fof(f567,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f478]) ).

fof(f609,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f480,f1]) ).

fof(f613,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f480]) ).

fof(f620,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f480]) ).

fof(f612,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f480,f3]) ).

fof(f480,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f382,f61]) ).

fof(f575,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f478]) ).

fof(f595,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f573,f1]) ).

fof(f573,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f478]) ).

fof(f478,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f382,f2]) ).

fof(f534,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f494]) ).

fof(f533,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f494]) ).

fof(f523,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f511,f479]) ).

fof(f511,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f382,f479]) ).

fof(f501,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f374,f479]) ).

fof(f516,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f499,f479]) ).

fof(f499,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f479,f382]) ).

fof(f486,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f382]) ).

fof(f485,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f374,f382]) ).

fof(f483,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f382]) ).

fof(f482,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f382]) ).

fof(f472,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f458,f1]) ).

fof(f458,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f443]) ).

fof(f457,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f443]) ).

fof(f443,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f374]) ).

fof(f451,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f444,f1]) ).

fof(f444,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f374]) ).

fof(f376,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f10,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f3942,plain,
    ( spl0_2
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3941]) ).

fof(f3941,plain,
    ( $false
    | spl0_2
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1272,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3940,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3939]) ).

fof(f3939,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f3225,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3225,plain,
    ( sk_c7 = multiply(sk_c5,inverse(sk_c6))
    | ~ spl0_8 ),
    inference(superposition,[],[f2182,f803]) ).

fof(f803,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f801,plain,
    ( spl0_8
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3938,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3937]) ).

fof(f3937,plain,
    ( $false
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3570,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3570,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f15,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f3244,f3248,f33,f1269,f23,f3555,f22,f3559,f17,f21,f3564,f18,f16,f20]) ).

fof(f3564,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f19,f18,f16,f14,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f3244,f3248,f33,f1269,f23,f3555,f22,f3559,f17,f21]) ).

fof(f3559,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f21,f19,f18,f16,f14,f8,f6,f27,f17,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f3244,f3248,f33,f1269,f23,f3555,f22]) ).

fof(f3555,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f3244,f3248,f33,f1269,f23]) ).

fof(f1269,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f1267,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c7,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3248,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f1269]) ).

fof(f3244,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c2))
    | ~ spl0_10 ),
    inference(superposition,[],[f2182,f1269]) ).

fof(f3936,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3935]) ).

fof(f3935,plain,
    ( $false
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3564,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3934,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3933]) ).

fof(f3933,plain,
    ( $false
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3559,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3932,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3931]) ).

fof(f3931,plain,
    ( $false
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3555,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3930,plain,
    ( spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3929]) ).

fof(f3929,plain,
    ( $false
    | spl0_2
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1269,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3928,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3927]) ).

fof(f3927,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f3926,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3926,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f27,f3824]) ).

fof(f3824,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f527,f526]) ).

fof(f526,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f494,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f527,plain,
    ( inverse(sk_c7) = sk_c1
    | ~ spl0_5 ),
    inference(superposition,[],[f494,f206]) ).

fof(f206,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f3925,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3924]) ).

fof(f3924,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f3923,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3923,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f28,f3824]) ).

fof(f3922,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3921]) ).

fof(f3921,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f3920,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3920,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f26,f3824]) ).

fof(f3919,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3918]) ).

fof(f3918,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f3917,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3917,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3228,f526]) ).

fof(f3228,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f803]) ).

fof(f3916,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3915]) ).

fof(f3915,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f3227,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3227,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,inverse(sk_c5)))
    | ~ spl0_8 ),
    inference(superposition,[],[f566,f803]) ).

fof(f3914,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3913]) ).

fof(f3913,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f3912,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3912,plain,
    ( sk_c3 = multiply(sk_c6,inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3226,f526]) ).

fof(f3226,plain,
    ( inverse(sk_c7) = multiply(sk_c6,inverse(sk_c5))
    | ~ spl0_8 ),
    inference(superposition,[],[f2005,f803]) ).

fof(f3911,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3910]) ).

fof(f3910,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906,f3909]) ).

fof(f3908,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3907]) ).

fof(f3907,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903,f3906]) ).

fof(f3905,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3904]) ).

fof(f3904,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16,f3903]) ).

fof(f3902,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3901]) ).

fof(f3901,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18,f16]) ).

fof(f3900,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3899]) ).

fof(f3899,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17,f18]) ).

fof(f3898,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3897]) ).

fof(f3897,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14,f17]) ).

fof(f3896,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3895]) ).

fof(f3895,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(global_subsumption,[],[f688,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14]) ).

fof(f3894,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3893]) ).

fof(f3893,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(global_subsumption,[],[f210,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14]) ).

fof(f3892,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3891]) ).

fof(f3891,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19,f14]) ).

fof(f3890,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3889]) ).

fof(f3889,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f14,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883,f19]) ).

fof(f3888,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3887]) ).

fof(f3887,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(global_subsumption,[],[f3886,f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883]) ).

fof(f3886,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f24,f3824]) ).

fof(f3885,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3884]) ).

fof(f3884,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f806,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f30,f3725,f25,f3726,f42,f3883]) ).

fof(f3876,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3875]) ).

fof(f3875,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3874,f3855]) ).

fof(f3855,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f3810,f3850]) ).

fof(f3850,plain,
    ( identity = sk_c3
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3845,f478]) ).

fof(f3845,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c7))
    | spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f2182,f3756]) ).

fof(f3756,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f5,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f42,f12,f9,f11,f13,f35,f24,f26,f28,f19,f14,f8,f6,f27,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f23,f22,f17,f21,f18,f16,f20,f15,f1273,f30,f3725,f25,f3726,f3727,f3729,f3730,f3732,f3753,f3755]) ).

fof(f3755,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c5 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f11,f1273]) ).

fof(f3753,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1273]) ).

fof(f3732,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f1273]) ).

fof(f3730,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f28,f1273]) ).

fof(f3729,plain,
    ( sk_c7 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27,f1273]) ).

fof(f3727,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f31,f1273]) ).

fof(f1273,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f3810,plain,
    ( sk_c5 != sk_c3
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f42,f526]) ).

fof(f3874,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3873,f3857]) ).

fof(f3857,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3856,f456]) ).

fof(f3856,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f39,f3850]) ).

fof(f3873,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3872,f1273]) ).

fof(f3872,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3861,f479]) ).

fof(f3861,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f807,f3857]) ).

fof(f3871,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3870]) ).

fof(f3870,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3869,f3855]) ).

fof(f3869,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3868,f3857]) ).

fof(f3868,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3867,f1273]) ).

fof(f3867,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3860,f1]) ).

fof(f3860,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f803,f3857]) ).

fof(f3717,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f3573,f182,f642]) ).

fof(f642,plain,
    ( spl0_7
  <=> ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f182,plain,
    ( spl0_4
  <=> ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3573,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f183,f479]) ).

fof(f183,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f3543,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3542]) ).

fof(f3542,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3541,f494]) ).

fof(f3541,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f3533,f494]) ).

fof(f3533,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3529]) ).

fof(f3529,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f443]) ).

fof(f180,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_3
  <=> ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3540,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3539]) ).

fof(f3539,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3534,f494]) ).

fof(f3534,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3528]) ).

fof(f3528,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f2]) ).

fof(f3538,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3537]) ).

fof(f3537,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3535,f456]) ).

fof(f3535,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3527]) ).

fof(f3527,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f1]) ).

fof(f3511,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3510]) ).

fof(f3510,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3500,f494]) ).

fof(f3500,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3497]) ).

fof(f3497,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f643,f478]) ).

fof(f643,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f3509,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3508]) ).

fof(f3508,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3507,f494]) ).

fof(f3507,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3501,f2005]) ).

fof(f3501,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3496]) ).

fof(f3496,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f643,f566]) ).

fof(f3504,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3503]) ).

fof(f3503,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3502,f456]) ).

fof(f3502,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3494]) ).

fof(f3494,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f643,f479]) ).

fof(f3385,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3384]) ).

fof(f3384,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3383,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f209,plain,
    ( sk_c6 != inverse(sk_c4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f3315,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33]) ).

fof(f1268,plain,
    ( sk_c6 != multiply(sk_c7,sk_c2)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f1267]) ).

fof(f659,plain,
    ( sk_c5 = inverse(sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f12,f209]) ).

fof(f658,plain,
    ( sk_c5 = inverse(sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24,f652,f232,f227,f222,f235,f654,f655,f13,f656,f11,f657,f9]) ).

fof(f657,plain,
    ( sk_c5 = inverse(sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24,f652,f232,f227,f222,f235,f654,f655,f13,f656,f11]) ).

fof(f656,plain,
    ( sk_c5 = inverse(sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f11,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24,f652,f232,f227,f222,f235,f654,f655,f13]) ).

fof(f655,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f13,f11,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24,f652,f232,f227,f222,f235,f654]) ).

fof(f654,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f653,f220]) ).

fof(f653,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(sk_c7)
        | sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f225]) ).

fof(f235,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f27,f209]) ).

fof(f222,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f220]) ).

fof(f227,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f225]) ).

fof(f232,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f230]) ).

fof(f652,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f13,f11,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f222,f225,f227,f230,f232,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24]) ).

fof(f651,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f13,f11,f35,f1,f2,f10,f3,f24,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f222,f225,f227,f230,f232,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26]) ).

fof(f650,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f9,f13,f11,f35,f1,f2,f10,f3,f26,f24,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f222,f225,f227,f230,f232,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28]) ).

fof(f386,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c5)
    | spl0_6 ),
    inference(superposition,[],[f61,f220]) ).

fof(f387,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | spl0_6 ),
    inference(superposition,[],[f61,f225]) ).

fof(f390,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f61,f230]) ).

fof(f230,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f22,f209]) ).

fof(f225,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f17,f209]) ).

fof(f220,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f7,f209]) ).

fof(f3383,plain,
    ( sk_c6 != multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f1268,f242]) ).

fof(f242,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f238,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f238,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f237,f191]) ).

fof(f191,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f188]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f187,f1]) ).

fof(f187,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f185]) ).

fof(f185,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f237,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f236,f233]) ).

fof(f233,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f231,f225]) ).

fof(f231,plain,
    ( multiply(sk_c5,sk_c6) = sk_c2
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f64,f230]) ).

fof(f236,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f235,f215]) ).

fof(f215,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f213,f186]) ).

fof(f186,plain,
    ( sk_c3 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f185]) ).

fof(f213,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f64,f212]) ).

fof(f212,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f206]) ).

fof(f3378,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3377]) ).

fof(f3377,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3376,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f3376,plain,
    ( sk_c5 = sk_c2
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f3375,f479]) ).

fof(f3375,plain,
    ( sk_c2 = multiply(sk_c5,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f3374,f745]) ).

fof(f745,plain,
    ( sk_c5 = sk_c1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f744,f479]) ).

fof(f744,plain,
    ( sk_c1 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f391,f43]) ).

fof(f391,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f212]) ).

fof(f3374,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f28,f242]) ).

fof(f3373,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3372]) ).

fof(f3372,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3371,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f3371,plain,
    ( sk_c6 = sk_c2
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f3370,f1]) ).

fof(f3370,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f23,f242]) ).

fof(f3369,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3368]) ).

fof(f3368,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3367,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f3367,plain,
    ( sk_c5 = sk_c2
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f3366,f479]) ).

fof(f3366,plain,
    ( sk_c2 = multiply(sk_c5,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f3365,f745]) ).

fof(f3365,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f27,f242]) ).

fof(f3364,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3363]) ).

fof(f3363,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3362,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f3362,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f22,f242]) ).

fof(f3361,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3360]) ).

fof(f3360,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f3359,f1,f2,f10,f3,f31,f29,f25,f20,f15,f5,f30,f32,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f390,f387,f386,f373,f650,f651,f652,f232,f227,f222,f235,f654,f655,f656,f657,f658,f659,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f456,f4,f1268,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f33,f3315,f209]) ).

fof(f3359,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f233,f242]) ).

fof(f3358,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3357]) ).

fof(f3357,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3356,f1272]) ).

fof(f3356,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3355,f1]) ).

fof(f3355,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3344,f3259]) ).

fof(f3259,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3258,f1032]) ).

fof(f1032,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f1031]) ).

fof(f1031,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f16,f495]) ).

fof(f495,plain,
    ( sk_c5 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f479,f186]) ).

fof(f3258,plain,
    ( multiply(sk_c5,sk_c6) = sk_c2
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3247,f43]) ).

fof(f3247,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f1269]) ).

fof(f3344,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1269,f242]) ).

fof(f3314,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3313]) ).

fof(f3313,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f33,f31,f29,f25,f20,f15,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f373,f12,f9,f11,f13,f35,f24,f26,f28,f23,f21,f19,f18,f16,f14,f8,f6,f27,f22,f17,f7,f210,f683,f684,f689,f688,f703,f704,f712,f708,f709,f681,f720,f686,f731,f456,f682,f687,f4,f807,f871,f875,f878,f873,f906,f922,f1265,f566,f1646,f1691,f1909,f2007,f2010,f2005,f2015,f2034,f2203,f2061,f2308,f2080,f2081,f2083,f2084,f2182,f2314,f2333,f2369,f2370,f2371,f2372,f2360,f2523,f2526,f2527,f2528,f2529,f2009,f2653,f2589,f2593,f2614,f2615,f2616,f2617,f2619,f2620,f3125,f3148,f2071,f2073,f2078,f2325,f2331,f2363,f2514,f2574,f2607,f2612,f2605,f2600,f2577,f2511,f2366,f2330,f2322,f2066,f3158,f1272,f3311,f205]) ).

fof(f205,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f3311,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3310,f1272]) ).

fof(f3310,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f33,f875]) ).

fof(f3158,plain,
    ( ! [X0] : sk_c6 = multiply(multiply(sk_c5,X0),inverse(multiply(sk_c7,X0)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2032,f210]) ).

fof(f2032,plain,
    ( ! [X0] : inverse(sk_c4) = multiply(multiply(sk_c5,X0),inverse(multiply(sk_c7,X0)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f2005,f922]) ).

fof(f2066,plain,
    ( ! [X0] : multiply(sk_c5,inverse(multiply(X0,sk_c7))) = multiply(sk_c6,inverse(X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f873,f2005]) ).

fof(f2322,plain,
    ( ! [X0] : sk_c6 = multiply(multiply(sk_c5,X0),inverse(multiply(sk_c7,X0)))
    | ~ spl0_9 ),
    inference(superposition,[],[f2182,f873]) ).

fof(f2330,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2182,f687]) ).

fof(f2366,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c6) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2182,f210]) ).

fof(f2511,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c6) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2360,f688]) ).

fof(f2577,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2009,f210]) ).

fof(f2600,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,inverse(multiply(inverse(X0),sk_c7)))
    | ~ spl0_9 ),
    inference(superposition,[],[f873,f2009]) ).

fof(f2605,plain,
    ( ! [X0] : multiply(sk_c4,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_6 ),
    inference(superposition,[],[f687,f2009]) ).

fof(f2612,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f682,f2009]) ).

fof(f2607,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,inverse(multiply(inverse(X0),sk_c5)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f922,f2009]) ).

fof(f2574,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2009,f688]) ).

fof(f2514,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c4) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2360,f210]) ).

fof(f2363,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c4) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2182,f688]) ).

fof(f2331,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f2182,f922]) ).

fof(f2325,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2182,f682]) ).

fof(f2078,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f682,f2005]) ).

fof(f2073,plain,
    ( ! [X0] : multiply(sk_c4,inverse(X0)) = multiply(sk_c7,inverse(multiply(X0,sk_c5)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f922,f2005]) ).

fof(f2071,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c4,inverse(X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f687,f2005]) ).

fof(f3148,plain,
    ( ! [X0] : sk_c4 = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2023,f688]) ).

fof(f2023,plain,
    ( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))
    | ~ spl0_9 ),
    inference(superposition,[],[f2005,f873]) ).

fof(f3125,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f8,f875]) ).

fof(f1265,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f23,f875]) ).

fof(f922,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f907,f688]) ).

fof(f907,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f873]) ).

fof(f906,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f687,f873]) ).

fof(f873,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f807]) ).

fof(f878,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f875]) ).

fof(f871,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f687,f807]) ).

fof(f687,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f480,f210]) ).

fof(f682,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f210]) ).

fof(f731,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f729,f1]) ).

fof(f729,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f686]) ).

fof(f686,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f478,f210]) ).

fof(f720,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f718,f1]) ).

fof(f718,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f681]) ).

fof(f681,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f210]) ).

fof(f709,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f480,f688]) ).

fof(f708,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f478,f688]) ).

fof(f712,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f707,f494]) ).

fof(f707,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f443,f688]) ).

fof(f704,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f688]) ).

fof(f703,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f688]) ).

fof(f689,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f685,f494]) ).

fof(f685,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f443,f210]) ).

fof(f684,plain,
    ( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c4,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f382,f210]) ).

fof(f683,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f374,f210]) ).

fof(f3304,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3303]) ).

fof(f3303,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3302,f1272]) ).

fof(f3302,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f3301,f479]) ).

fof(f3301,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1269,f3298]) ).

fof(f3298,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3191,f1272]) ).

fof(f3191,plain,
    ( sk_c7 = sk_c6
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3190,f875]) ).

fof(f3190,plain,
    ( identity = sk_c2
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3189,f672]) ).

fof(f672,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3189,plain,
    ( sk_c2 = multiply(sk_c5,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f3188,f495]) ).

fof(f3188,plain,
    ( sk_c2 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f28,f215]) ).

fof(f3134,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3133]) ).

fof(f3133,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f3132,f1]) ).

fof(f3132,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3131,f1322]) ).

fof(f1322,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1288,f672]) ).

fof(f1288,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1032,f1273]) ).

fof(f3131,plain,
    ( identity != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3130,f1273]) ).

fof(f3130,plain,
    ( identity != multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f802,f1381]) ).

fof(f1381,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1362,f456]) ).

fof(f1362,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f1322]) ).

fof(f802,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_8 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f2739,plain,
    ( spl0_3
    | spl0_7
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1634,f1271,f805,f801,f41,f37,f179,f642,f179]) ).

fof(f1634,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1633,f1322]) ).

fof(f1633,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1632,f1273]) ).

fof(f1632,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1631,f1322]) ).

fof(f1631,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1630,f1273]) ).

fof(f1630,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1629,f479]) ).

fof(f1629,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1628,f1322]) ).

fof(f1628,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1627,f1322]) ).

fof(f1627,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1626,f1273]) ).

fof(f1626,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1625,f1322]) ).

fof(f1625,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1624,f1307]) ).

fof(f1307,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1306,f1273]) ).

fof(f1306,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1280,f1042]) ).

fof(f1042,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1038,f525]) ).

fof(f525,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f494,f43]) ).

fof(f1038,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f1032]) ).

fof(f1280,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f803,f1273]) ).

fof(f1624,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1623,f1322]) ).

fof(f1623,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1622,f1322]) ).

fof(f1622,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1621,f1322]) ).

fof(f1621,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1620,f1273]) ).

fof(f1620,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1619,f803]) ).

fof(f1619,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1618,f1032]) ).

fof(f1618,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(sk_c5,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f666,f807]) ).

fof(f666,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(sk_c5,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f10,f43,f45,f3,f64,f88,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f373,f28,f26,f24,f12,f662,f9,f663,f11,f664,f13,f665,f35]) ).

fof(f665,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f10,f43,f45,f3,f64,f88,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f373,f28,f26,f24,f12,f662,f9,f663,f11,f664,f13]) ).

fof(f664,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f10,f43,f45,f3,f64,f88,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f373,f28,f26,f24,f13,f12,f662,f9,f663,f11]) ).

fof(f663,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f10,f43,f45,f3,f64,f88,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f373,f28,f26,f24,f13,f11,f12,f662,f9]) ).

fof(f662,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f10,f43,f45,f3,f64,f88,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f373,f28,f26,f24,f13,f11,f9,f12]) ).

fof(f88,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(sk_c5,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f35,f43]) ).

fof(f1274,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1265,f805,f208,f1271,f1267]) ).

fof(f865,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f864,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f863,f806]) ).

fof(f863,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f851,f479]) ).

fof(f851,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f835,f672]) ).

fof(f835,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f828,f43]) ).

fof(f828,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f811]) ).

fof(f811,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f803]) ).

fof(f862,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f861,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f860,f806]) ).

fof(f860,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f859,f479]) ).

fof(f859,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f850,f525]) ).

fof(f850,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f835,f478]) ).

fof(f808,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f4,f805,f801]) ).

fof(f661,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f12,f35,f1,f2,f10,f3,f23,f21,f19,f18,f16,f14,f8,f6,f4,f33,f31,f29,f27,f25,f22,f20,f17,f15,f7,f5,f30,f32,f209,f220,f225,f230,f61,f376,f374,f451,f443,f457,f472,f382,f482,f483,f485,f486,f479,f516,f501,f523,f494,f533,f534,f478,f566,f595,f575,f480,f612,f620,f613,f609,f567,f563,f646,f503,f647,f496,f459,f456,f390,f387,f386,f373,f28,f650,f26,f651,f24,f652,f232,f227,f222,f235,f654,f655,f13,f656,f11,f657,f9,f658,f659,f42]) ).

fof(f644,plain,
    ( spl0_3
    | spl0_7
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f557,f208,f204,f41,f37,f179,f642,f179]) ).

fof(f557,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f556,f242]) ).

fof(f556,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f555,f263]) ).

fof(f263,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f262,f242]) ).

fof(f262,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f261,f1]) ).

fof(f261,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f254,f233]) ).

fof(f254,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f230,f242]) ).

fof(f555,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f554,f263]) ).

fof(f554,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f553,f479]) ).

fof(f553,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f552,f242]) ).

fof(f552,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f551,f263]) ).

fof(f551,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f550,f259]) ).

fof(f259,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f252,f1]) ).

fof(f252,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f220,f242]) ).

fof(f550,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f549,f259]) ).

fof(f549,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f548,f479]) ).

fof(f548,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f547,f242]) ).

fof(f547,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f546,f242]) ).

fof(f546,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f545,f242]) ).

fof(f545,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f544,f263]) ).

fof(f544,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f543,f220]) ).

fof(f543,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f88,f225]) ).

fof(f211,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f32,f208,f204]) ).

fof(f184,plain,
    ( spl0_3
    | spl0_4
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f164,f41,f37,f179,f182,f179]) ).

fof(f164,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f163,f87]) ).

fof(f87,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f85,f45]) ).

fof(f85,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f81]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f78,f70]) ).

fof(f70,plain,
    ( sk_c7 = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f67,f49]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f38]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f67,plain,
    ( multiply(sk_c5,sk_c6) = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f50]) ).

fof(f50,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f38]) ).

fof(f78,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f65,f51]) ).

fof(f51,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f38]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f47,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f38]) ).

fof(f163,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f162,f104]) ).

fof(f104,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f103,f87]) ).

fof(f103,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f70]) ).

fof(f95,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f87]) ).

fof(f162,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f161,f104]) ).

fof(f161,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f160,f87]) ).

fof(f160,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f159,f104]) ).

fof(f159,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f158,f101]) ).

fof(f101,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f94,f1]) ).

fof(f94,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f87]) ).

fof(f48,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f38]) ).

fof(f158,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f157,f126]) ).

fof(f126,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f125,plain,
    ( sk_c5 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f121,f87]) ).

fof(f121,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f104]) ).

fof(f157,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f156,f1]) ).

fof(f156,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f155,f104]) ).

fof(f155,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f154,f87]) ).

fof(f154,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f87]) ).

fof(f153,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f152,f87]) ).

fof(f152,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f90,f104]) ).

fof(f90,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f89,f48]) ).

fof(f89,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != inverse(X6)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c6)
        | multiply(sk_c7,sk_c6) != sk_c5 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f88,f49]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP311-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 04:53:05 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (6524)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (6527)WARNING: value z3 for option sas not known
% 0.14/0.36  % (6528)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36  % (6530)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36  % (6526)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36  % (6529)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36  % (6527)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (6531)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.36  % (6525)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  TRYING [5]
% 0.14/0.40  TRYING [4]
% 0.19/0.42  TRYING [6]
% 0.19/0.44  TRYING [5]
% 0.19/0.44  % (6527)First to succeed.
% 0.19/0.45  % (6527)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (6527)------------------------------
% 0.19/0.46  % (6527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.46  % (6527)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (6527)Memory used [KB]: 1776
% 0.19/0.46  % (6527)Time elapsed: 0.091 s
% 0.19/0.46  % (6527)Instructions burned: 196 (million)
% 0.19/0.46  % (6527)------------------------------
% 0.19/0.46  % (6527)------------------------------
% 0.19/0.46  % (6524)Success in time 0.105 s
%------------------------------------------------------------------------------