%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP233-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Mon May 20 21:17:37 EDT 2024

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  784 ( 115 unt;   0 def)
%            Number of atoms       : 2981 (1167 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 4103 (1906   ~;2185   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   14 (  12 usr;  13 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  578 ( 578   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2719,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f304,f378,f896,f969,f1907,f2026,f2069,f2074,f2139,f2142,f2146,f2151,f2284,f2297,f2299,f2307,f2311,f2334,f2336,f2338,f2340,f2342,f2344,f2346,f2348,f2350,f2352,f2354,f2356,f2419,f2421,f2424,f2426,f2433,f2435,f2437,f2439,f2441,f2443,f2445,f2447,f2449,f2451,f2453,f2455,f2457,f2459,f2461,f2463,f2466,f2469,f2471,f2473,f2475,f2477,f2479,f2481,f2484,f2486,f2488,f2494,f2617,f2621,f2623,f2683,f2688,f2690,f2692,f2694,f2703,f2709]) ).

fof(f2709,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2708]) ).

fof(f2708,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2707,f676]) ).

fof(f676,plain,
    identity = inverse(identity),
    inference(superposition,[],[f633,f205]) ).

fof(f205,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f60,f2]) ).

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

fof(f60,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(f633,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f60,f205]) ).

fof(f2707,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2706,f2510]) ).

fof(f2510,plain,
    ( identity = sk_c8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2068,f2025]) ).

fof(f2025,plain,
    ( identity = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f2023,plain,
    ( spl0_10
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2068,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f2066]) ).

fof(f2066,plain,
    ( spl0_12
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2706,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2705,f2381]) ).

fof(f2381,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f373,f2378]) ).

fof(f2378,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f757,f40]) ).

fof(f40,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_1
  <=> inverse(sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f757,plain,
    ( inverse(sk_c8) = sk_c5
    | ~ spl0_3 ),
    inference(superposition,[],[f716,f373]) ).

fof(f716,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f698,f205]) ).

fof(f698,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f217,f205]) ).

fof(f217,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f60,f60]) ).

fof(f373,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2705,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2704,f2510]) ).

fof(f2704,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2671,f698]) ).

fof(f2671,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f337]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f336,f1]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f328]) ).

fof(f328,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f327]) ).

fof(f327,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f892,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl0_5
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2703,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2701,f716]) ).

fof(f2701,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2675,f716]) ).

fof(f2675,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2670]) ).

fof(f2670,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f633]) ).

fof(f2694,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2693]) ).

fof(f2693,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2676,f716]) ).

fof(f2676,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2667]) ).

fof(f2667,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f204]) ).

fof(f204,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f60,f1]) ).

fof(f2692,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2691]) ).

fof(f2691,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2677,f716]) ).

fof(f2677,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2666]) ).

fof(f2666,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f2]) ).

fof(f2690,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2689]) ).

fof(f2689,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2678,f676]) ).

fof(f2678,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2665]) ).

fof(f2665,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f1]) ).

fof(f2688,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2687]) ).

fof(f2687,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2686,f676]) ).

fof(f2686,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2685,f2025]) ).

fof(f2685,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2664,f2025]) ).

fof(f2664,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f404]) ).

fof(f404,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f393]) ).

fof(f393,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f2]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f40]) ).

fof(f2683,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2682]) ).

fof(f2682,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2681,f676]) ).

fof(f2681,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2680,f2510]) ).

fof(f2680,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2679,f2381]) ).

fof(f2679,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2662,f2510]) ).

fof(f2662,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f892,f328]) ).

fof(f2623,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2622,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2613,f716]) ).

fof(f2613,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2610]) ).

fof(f2610,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f895,f696]) ).

fof(f696,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f217,f2]) ).

fof(f895,plain,
    ( ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f894,plain,
    ( spl0_6
  <=> ! [X5] :
        ( identity != multiply(identity,X5)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2621,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2620]) ).

fof(f2620,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2619,f716]) ).

fof(f2619,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2614,f1282]) ).

fof(f1282,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1184,f698]) ).

fof(f1184,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f60,f799]) ).

fof(f799,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f696,f3]) ).

fof(f2614,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2609]) ).

fof(f2609,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_6 ),
    inference(superposition,[],[f895,f799]) ).

fof(f2617,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2616,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2615,f676]) ).

fof(f2615,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2607]) ).

fof(f2607,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f895,f698]) ).

fof(f2494,plain,
    ( spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f452,f375,f371,f42,f38,f966]) ).

fof(f966,plain,
    ( spl0_8
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f42,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f375,plain,
    ( spl0_4
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f452,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f451,f327]) ).

fof(f451,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f450,f409]) ).

fof(f409,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f404,f331]) ).

fof(f331,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f224,f40]) ).

fof(f224,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f46]) ).

fof(f46,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f450,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f449,f386]) ).

fof(f386,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f385,f331]) ).

fof(f385,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f382,f40]) ).

fof(f382,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f380]) ).

fof(f380,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f373]) ).

fof(f449,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f17,f376]) ).

fof(f376,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f2488,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2487]) ).

fof(f2487,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f44,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f967,plain,
    ( identity != sk_c6
    | spl0_8 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f2428,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2427,f327]) ).

fof(f2427,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f17,f2378]) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f2398,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1692,f2381]) ).

fof(f2396,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1388,f2381]) ).

fof(f2395,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1286,f2381]) ).

fof(f2388,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f2381]) ).

fof(f2384,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2359,f2378]) ).

fof(f2383,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2358,f2378]) ).

fof(f2382,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2357,f2378]) ).

fof(f2377,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1408,f40]) ).

fof(f1408,plain,
    ( inverse(sk_c8) = sk_c5
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1407,f698]) ).

fof(f1407,plain,
    ( inverse(sk_c8) = multiply(sk_c5,identity)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1333,f676]) ).

fof(f1333,plain,
    ( inverse(sk_c8) = multiply(sk_c5,inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f1282,f380]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f395,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f60]) ).

fof(f401,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f2376,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f406,f1]) ).

fof(f406,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f393]) ).

fof(f714,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f698,f328]) ).

fof(f2374,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f721,f698]) ).

fof(f721,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f698,f337]) ).

fof(f725,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f328,f698]) ).

fof(f2373,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f732,f698]) ).

fof(f732,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f698]) ).

fof(f754,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f716,f40]) ).

fof(f833,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f699,f40]) ).

fof(f880,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f852,f217]) ).

fof(f852,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f699,f337]) ).

fof(f884,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f858,f217]) ).

fof(f858,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f699]) ).

fof(f25,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f1157,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f799,f337]) ).

fof(f2367,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1393,f698]) ).

fof(f1393,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1328,f676]) ).

fof(f1328,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1282,f327]) ).

fof(f2366,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1396,f698]) ).

fof(f1396,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1395,f716]) ).

fof(f1395,plain,
    ( multiply(sk_c8,identity) = inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1329,f676]) ).

fof(f1329,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1282,f335]) ).

fof(f1336,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1282,f337]) ).

fof(f1343,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1282]) ).

fof(f1478,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1436,f1388]) ).

fof(f1436,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f337]) ).

fof(f2364,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1482,f698]) ).

fof(f1482,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1441,f676]) ).

fof(f1441,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f328]) ).

fof(f1458,plain,
    ( sk_c8 = multiply(identity,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f393]) ).

fof(f1602,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1560,f1463]) ).

fof(f1560,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,inverse(X0)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1463,f337]) ).

fof(f2363,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1693,f698]) ).

fof(f1693,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1632,f676]) ).

fof(f1632,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1286,f335]) ).

fof(f1637,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1286,f337]) ).

fof(f1646,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1286]) ).

fof(f1743,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1392,f337]) ).

fof(f1824,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1767,f204]) ).

fof(f1767,plain,
    ( inverse(sk_c7) = multiply(inverse(identity),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1392,f393]) ).

fof(f1849,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(sk_c7)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1692,f337]) ).

fof(f1929,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1322,f1388]) ).

fof(f1322,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1282,f326]) ).

fof(f26,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f1982,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1964,f1464]) ).

fof(f1964,plain,
    ( inverse(sk_c7) = multiply(multiply(sk_c8,sk_c8),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f337]) ).

fof(f1986,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1970,f60]) ).

fof(f1970,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(inverse(X0),multiply(X0,sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f1392,f1464]) ).

fof(f1971,plain,
    ( ! [X0] : multiply(X0,sk_c8) = multiply(X0,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f1464]) ).

fof(f1548,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1463,f40]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f27,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f2359,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f20,f12,f10,f32,f30,f17,f15,f7,f6,f5,f33,f8,f204,f367,f18,f373,f379,f380,f387,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f2357,f13,f2358,f28]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f2358,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f7,f6,f5,f33,f8,f204,f367,f18,f373,f379,f380,f387,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f2357,f13]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f2357,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f204,f367,f18,f373,f379,f380,f387,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f770,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f36,f40]) ).

fof(f1975,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c7,X1))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1464]) ).

fof(f1974,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f1464]) ).

fof(f1973,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c7,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f799,f1464]) ).

fof(f1972,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1282,f1464]) ).

fof(f1968,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f3]) ).

fof(f1962,plain,
    ( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f1692]) ).

fof(f1961,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1464,f1392]) ).

fof(f1464,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f40]) ).

fof(f1344,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1282]) ).

fof(f1449,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1388,f326]) ).

fof(f1611,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1286,f40]) ).

fof(f1620,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1286,f337]) ).

fof(f1647,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1286]) ).

fof(f1757,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1392,f326]) ).

fof(f1834,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1692,f40]) ).

fof(f1865,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1463,f1692]) ).

fof(f1863,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1692]) ).

fof(f1859,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1388,f1692]) ).

fof(f1853,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1692,f3]) ).

fof(f1692,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1630,f716]) ).

fof(f1630,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1286,f1282]) ).

fof(f1780,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1463,f1392]) ).

fof(f1778,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1392]) ).

fof(f1774,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1388,f1392]) ).

fof(f1759,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1392,f699]) ).

fof(f1758,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1392,f60]) ).

fof(f1747,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1392,f3]) ).

fof(f1392,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1327,f716]) ).

fof(f1327,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1282,f1282]) ).

fof(f1658,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1286]) ).

fof(f1657,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f699,f1286]) ).

fof(f1655,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1286]) ).

fof(f1654,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f60,f1286]) ).

fof(f1653,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f799,f1286]) ).

fof(f1652,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1282,f1286]) ).

fof(f1640,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1286,f3]) ).

fof(f1631,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1286,f1286]) ).

fof(f1286,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1187,f698]) ).

fof(f1187,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f699,f799]) ).

fof(f1570,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1463]) ).

fof(f1569,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f60,f1463]) ).

fof(f1568,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f799,f1463]) ).

fof(f1567,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1282,f1463]) ).

fof(f1564,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1463,f3]) ).

fof(f1463,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1388,f716]) ).

fof(f1474,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1388]) ).

fof(f1473,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f60,f1388]) ).

fof(f1472,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f799,f1388]) ).

fof(f1471,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1282,f1388]) ).

fof(f1451,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1388,f699]) ).

fof(f1439,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1388,f3]) ).

fof(f1388,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1323,f716]) ).

fof(f1323,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1282,f60]) ).

fof(f1353,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1282]) ).

fof(f1352,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f699,f1282]) ).

fof(f1350,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1282]) ).

fof(f1349,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f60,f1282]) ).

fof(f1430,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1348,f716]) ).

fof(f1348,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f799,f1282]) ).

fof(f1339,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1282,f3]) ).

fof(f1324,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1282,f699]) ).

fof(f1312,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1282,f3]) ).

fof(f1287,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1188,f3]) ).

fof(f1188,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f799]) ).

fof(f1284,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1283,f3]) ).

fof(f1283,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1185,f1]) ).

fof(f1185,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f799]) ).

fof(f1258,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1171,f3]) ).

fof(f1171,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f799,f3]) ).

fof(f1160,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f799,f3]) ).

fof(f1134,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f799,f3]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f679,plain,
    identity = inverse(identity),
    inference(superposition,[],[f205,f633]) ).

fof(f718,plain,
    identity = inverse(identity),
    inference(superposition,[],[f698,f2]) ).

fof(f719,plain,
    identity = inverse(identity),
    inference(superposition,[],[f698,f204]) ).

fof(f904,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f720,f716]) ).

fof(f720,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f698,f633]) ).

fof(f729,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f698]) ).

fof(f730,plain,
    identity = inverse(identity),
    inference(superposition,[],[f204,f698]) ).

fof(f903,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f731,f716]) ).

fof(f731,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f633,f698]) ).

fof(f794,plain,
    identity = inverse(identity),
    inference(superposition,[],[f696,f1]) ).

fof(f800,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f696]) ).

fof(f865,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f699]) ).

fof(f855,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f699,f3]) ).

fof(f699,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f217,f60]) ).

fof(f810,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f696]) ).

fof(f829,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f808,f1]) ).

fof(f808,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f696]) ).

fof(f766,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f716]) ).

fof(f765,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f716]) ).

fof(f752,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f739,f698]) ).

fof(f739,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f217,f698]) ).

fof(f727,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f205,f698]) ).

fof(f746,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f723,f698]) ).

fof(f723,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f698,f217]) ).

fof(f707,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f706,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f205,f217]) ).

fof(f703,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f702,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f217]) ).

fof(f689,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f678,f1]) ).

fof(f678,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f633]) ).

fof(f677,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f60,f633]) ).

fof(f639,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f634,f1]) ).

fof(f634,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f205]) ).

fof(f444,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_4 ),
    inference(superposition,[],[f3,f441]) ).

fof(f441,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f16,f376]) ).

fof(f407,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f405,f40]) ).

fof(f405,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f393]) ).

fof(f398,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f397,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f337]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f383,f1]) ).

fof(f383,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f380]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f373]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f367,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f60,f204]) ).

fof(f353,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f352,f1]) ).

fof(f352,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f335]) ).

fof(f351,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f335]) ).

fof(f335,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f328]) ).

fof(f343,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f326]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f329,f1]) ).

fof(f329,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f327]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f5,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f6,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f7,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f36,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(X6,sk_c7) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X5,sk_c8) != X4
      | multiply(X8,sk_c8) != X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f208,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f60,f3]) ).

fof(f4,axiom,
    ( sk_c8 = inverse(sk_c4)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f2486,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2485]) ).

fof(f2485,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1009,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f1009,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f414,f997]) ).

fof(f997,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f996,f359]) ).

fof(f359,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f346,f327]) ).

fof(f346,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f334]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f333,f1]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f331]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f46]) ).

fof(f996,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f995,f994]) ).

fof(f994,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f993,f327]) ).

fof(f993,plain,
    ( sk_c3 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f992,f980]) ).

fof(f980,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f979,f409]) ).

fof(f979,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f978,f331]) ).

fof(f978,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f972,f40]) ).

fof(f972,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f205,f964]) ).

fof(f964,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f962,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f992,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f910,f967]) ).

fof(f910,plain,
    ( identity = sk_c6
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f909,f327]) ).

fof(f909,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f908,f334]) ).

fof(f908,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f27,f386]) ).

fof(f995,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f914,f967]) ).

fof(f914,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f913,f327]) ).

fof(f913,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f912,f409]) ).

fof(f912,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f22,f386]) ).

fof(f414,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f409]) ).

fof(f2484,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2483]) ).

fof(f2483,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f2482,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2482,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f756,f40]) ).

fof(f756,plain,
    ( inverse(sk_c8) = sk_c4
    | ~ spl0_2 ),
    inference(superposition,[],[f716,f44]) ).

fof(f2481,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2480,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1012,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f1012,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1001,f359]) ).

fof(f1001,plain,
    ( sk_c4 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f331,f997]) ).

fof(f2479,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2478]) ).

fof(f2478,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f1017,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f1017,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1005,f205]) ).

fof(f1005,plain,
    ( sk_c4 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f338,f997]) ).

fof(f338,plain,
    ( sk_c4 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f332]) ).

fof(f332,plain,
    ( identity = multiply(inverse(sk_c7),sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f331]) ).

fof(f2477,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2476]) ).

fof(f2476,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f447,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f447,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f446,f432]) ).

fof(f432,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f431,f409]) ).

fof(f431,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f15,f376]) ).

fof(f446,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f443,f40]) ).

fof(f443,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | spl0_4 ),
    inference(superposition,[],[f60,f441]) ).

fof(f2475,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2474]) ).

fof(f2474,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f452,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2473,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2472]) ).

fof(f2472,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f453,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f453,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f452,f447]) ).

fof(f2471,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2470]) ).

fof(f2470,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(subsumption_resolution,[],[f456,f2067]) ).

fof(f2067,plain,
    ( sk_c8 != sk_c7
    | spl0_12 ),
    inference(avatar_component_clause,[],[f2066]) ).

fof(f456,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f455,f359]) ).

fof(f455,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f441,f452]) ).

fof(f2469,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2468]) ).

fof(f2468,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f2467,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2467,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1402,f40]) ).

fof(f1402,plain,
    ( inverse(sk_c8) = sk_c4
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1401,f698]) ).

fof(f1401,plain,
    ( inverse(sk_c8) = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1331,f676]) ).

fof(f1331,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1282,f46]) ).

fof(f2466,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2465]) ).

fof(f2465,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f2464,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2464,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f386,f2378]) ).

fof(f2463,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2462]) ).

fof(f2462,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f994,f2063]) ).

fof(f2063,plain,
    ( identity != sk_c3
    | spl0_11 ),
    inference(avatar_component_clause,[],[f2062]) ).

fof(f2062,plain,
    ( spl0_11
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2461,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2460,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f997,f2067]) ).

fof(f2459,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2458]) ).

fof(f2458,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2042,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2042,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2033,f414]) ).

fof(f2033,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f60,f2021]) ).

fof(f2021,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f2019,plain,
    ( spl0_9
  <=> sk_c8 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2457,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2456,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f409,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2455,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2454]) ).

fof(f2454,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_10 ),
    inference(subsumption_resolution,[],[f519,f2024]) ).

fof(f2024,plain,
    ( identity != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f519,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f490,f1]) ).

fof(f490,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f436,f453]) ).

fof(f436,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f434,f414]) ).

fof(f434,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f60,f432]) ).

fof(f2453,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f522,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f522,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f472,f453]) ).

fof(f472,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f460,f359]) ).

fof(f460,plain,
    ( sk_c4 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f331,f456]) ).

fof(f2451,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f895,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2449,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2448]) ).

fof(f2448,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428,f967]) ).

fof(f2447,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2446,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f379,f380,f387,f337,f397,f398,f393,f407,f404,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1449,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16,f2428]) ).

fof(f2445,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2444]) ).

fof(f2444,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f379,f380,f384,f387,f386,f337,f397,f398,f393,f407,f404,f410,f409,f414,f432,f433,f435,f436,f439,f441,f445,f444,f447,f452,f454,f456,f457,f458,f472,f476,f479,f465,f466,f468,f469,f453,f522,f523,f530,f529,f519,f560,f565,f569,f493,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f787,f800,f794,f903,f730,f729,f904,f719,f718,f679,f910,f911,f918,f922,f31,f926,f929,f930,f676,f925,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1911,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1921,f1922,f1612,f1611,f1586,f1581,f1549,f1926,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f914,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f915,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376,f16]) ).

fof(f915,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f20,f409]) ).

fof(f1345,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f346,f1282]) ).

fof(f1928,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1347,f409]) ).

fof(f1347,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1282]) ).

fof(f1493,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1447,f334]) ).

fof(f1447,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1388,f63]) ).

fof(f1448,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1388,f346]) ).

fof(f1465,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1388,f414]) ).

fof(f1927,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1466,f409]) ).

fof(f1466,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1388,f44]) ).

fof(f1926,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1925,f409]) ).

fof(f1925,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1467,f386]) ).

fof(f1467,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c8) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f1388,f373]) ).

fof(f1549,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1463,f414]) ).

fof(f1581,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1550,f409]) ).

fof(f1550,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1463,f44]) ).

fof(f1586,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1585,f409]) ).

fof(f1585,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1551,f386]) ).

fof(f1551,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c5) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f1463,f373]) ).

fof(f1612,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1286,f414]) ).

fof(f1922,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1613,f409]) ).

fof(f1613,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1286,f44]) ).

fof(f1921,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1920,f409]) ).

fof(f1920,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1614,f386]) ).

fof(f1614,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_3 ),
    inference(superposition,[],[f1286,f373]) ).

fof(f1648,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f346,f1286]) ).

fof(f1717,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1650,f409]) ).

fof(f1650,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c4))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1286]) ).

fof(f1913,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1755,f334]) ).

fof(f1755,plain,
    ( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1392,f63]) ).

fof(f1756,plain,
    ( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1392,f346]) ).

fof(f1835,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1692,f414]) ).

fof(f1912,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1836,f409]) ).

fof(f1836,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1692,f44]) ).

fof(f1911,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1910,f409]) ).

fof(f1910,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1837,f386]) ).

fof(f1837,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_3 ),
    inference(superposition,[],[f1692,f373]) ).

fof(f925,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f924,f327]) ).

fof(f924,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f923,f409]) ).

fof(f923,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f32,f386]) ).

fof(f930,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f409]) ).

fof(f929,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f928,f327]) ).

fof(f928,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f927,f409]) ).

fof(f927,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f17,f386]) ).

fof(f926,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f30,f409]) ).

fof(f922,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f10,f334]) ).

fof(f918,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f917,f327]) ).

fof(f917,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f916,f334]) ).

fof(f916,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f12,f386]) ).

fof(f911,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f25,f334]) ).

fof(f787,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f786,f453]) ).

fof(f786,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f785,f456]) ).

fof(f785,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f784,f453]) ).

fof(f784,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f783,f456]) ).

fof(f783,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f782,f698]) ).

fof(f782,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f781,f453]) ).

fof(f781,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f780,f453]) ).

fof(f780,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f779,f456]) ).

fof(f779,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f778,f698]) ).

fof(f778,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f777,f453]) ).

fof(f777,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f776,f453]) ).

fof(f776,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f775,f456]) ).

fof(f775,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f774,f453]) ).

fof(f774,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f773,f453]) ).

fof(f773,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f772,f453]) ).

fof(f772,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f771,f453]) ).

fof(f771,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f770,f453]) ).

fof(f493,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f492,f453]) ).

fof(f492,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f480,f456]) ).

fof(f480,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f40,f453]) ).

fof(f569,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f549,f453]) ).

fof(f549,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f414,f519]) ).

fof(f565,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f564,f453]) ).

fof(f564,plain,
    ( sk_c8 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f563,f456]) ).

fof(f563,plain,
    ( sk_c7 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f545,f409]) ).

fof(f545,plain,
    ( sk_c4 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f338,f519]) ).

fof(f560,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f543,f453]) ).

fof(f543,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f335,f519]) ).

fof(f529,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f409,f522]) ).

fof(f530,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f524,f453]) ).

fof(f524,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f44,f522]) ).

fof(f523,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f522,f409]) ).

fof(f469,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f432,f456]) ).

fof(f468,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f414,f456]) ).

fof(f466,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f393,f456]) ).

fof(f465,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f346,f456]) ).

fof(f479,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f478,f328]) ).

fof(f478,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f464,f40]) ).

fof(f464,plain,
    ( sk_c4 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f338,f456]) ).

fof(f476,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f475,f414]) ).

fof(f475,plain,
    ( identity = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f462,f40]) ).

fof(f462,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f335,f456]) ).

fof(f458,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f327,f456]) ).

fof(f457,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f326,f456]) ).

fof(f454,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f447,f452]) ).

fof(f445,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f442,f432]) ).

fof(f442,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_4 ),
    inference(superposition,[],[f326,f441]) ).

fof(f439,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f3,f436]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f3,f432]) ).

fof(f433,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f346,f432]) ).

fof(f410,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f404]) ).

fof(f384,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f381,f331]) ).

fof(f381,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f326,f380]) ).

fof(f357,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f356,f334]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f355,f1]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f338]) ).

fof(f354,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f338]) ).

fof(f349,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f347,f44]) ).

fof(f347,plain,
    ( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f334]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f326,f63]) ).

fof(f340,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f339,f1]) ).

fof(f339,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),multiply(sk_c4,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f332]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f63]) ).

fof(f2443,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2442]) ).

fof(f2442,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f379,f380,f384,f387,f386,f337,f397,f398,f393,f407,f404,f410,f409,f414,f432,f433,f435,f436,f439,f441,f445,f444,f447,f452,f454,f456,f457,f458,f472,f476,f479,f465,f466,f468,f469,f453,f522,f523,f530,f529,f519,f560,f565,f569,f493,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f787,f800,f794,f903,f730,f729,f904,f719,f718,f679,f910,f911,f918,f922,f31,f926,f929,f16,f930,f676,f925,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1911,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1921,f1922,f1612,f1611,f1586,f1581,f1549,f1926,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f914,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f915,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f15,f14,f9,f376]) ).

fof(f2441,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2440]) ).

fof(f2440,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f379,f380,f384,f387,f386,f337,f397,f398,f393,f407,f404,f410,f409,f414,f432,f433,f435,f436,f439,f441,f445,f444,f447,f452,f454,f456,f457,f458,f472,f476,f479,f465,f466,f468,f469,f453,f522,f523,f530,f529,f519,f560,f565,f569,f493,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f787,f800,f794,f903,f730,f729,f904,f719,f718,f679,f910,f911,f918,f922,f31,f926,f929,f16,f930,f676,f925,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1911,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1921,f1922,f1612,f1611,f1586,f1581,f1549,f1926,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f914,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f915,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f376,f15,f14,f9]) ).

fof(f2439,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2438]) ).

fof(f2438,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f379,f380,f384,f387,f386,f337,f397,f398,f393,f407,f404,f410,f409,f414,f432,f433,f435,f436,f439,f441,f445,f444,f447,f452,f454,f456,f457,f458,f472,f476,f479,f465,f466,f468,f469,f453,f522,f523,f530,f529,f519,f560,f565,f569,f493,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f787,f800,f794,f903,f730,f729,f904,f719,f718,f679,f910,f911,f918,f922,f31,f926,f929,f16,f930,f676,f925,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1911,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1921,f1922,f1612,f1611,f1586,f1581,f1549,f1926,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f914,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f915,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f9,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f376,f15,f14]) ).

fof(f2437,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f32,f30,f17,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f379,f380,f384,f387,f386,f337,f397,f398,f393,f407,f404,f410,f409,f414,f432,f433,f435,f436,f439,f441,f445,f444,f447,f452,f454,f456,f457,f458,f472,f476,f479,f465,f466,f468,f469,f453,f522,f523,f530,f529,f519,f560,f565,f569,f493,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f787,f800,f794,f903,f730,f729,f904,f719,f718,f679,f910,f911,f918,f922,f31,f926,f929,f16,f930,f676,f925,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1911,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1921,f1922,f1612,f1611,f1586,f1581,f1549,f1926,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f914,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f770,f967,f915,f21,f22,f23,f2357,f13,f2358,f28,f2359,f27,f12,f1548,f1971,f1986,f1982,f11,f26,f1929,f1849,f1824,f1743,f1646,f1637,f2363,f1602,f1458,f2364,f1478,f1343,f1336,f2366,f2367,f1157,f10,f20,f25,f884,f880,f833,f754,f2373,f725,f2374,f714,f2376,f401,f395,f24,f19,f9,f2377,f373,f2378,f2382,f2383,f2384,f2381,f2388,f2395,f2396,f2398,f376,f15]) ).

fof(f2435,plain,
    ( spl0_4
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2434]) ).

fof(f2434,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f204,f367,f18,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f13,f28,f27,f12,f11,f26,f10,f20,f25,f24,f19,f9,f968,f2067,f15,f2431,f376]) ).

fof(f2431,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2430,f2067]) ).

fof(f2430,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2429,f698]) ).

fof(f2429,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f16,f968]) ).

fof(f968,plain,
    ( identity = sk_c6
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f2433,plain,
    ( spl0_4
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2432]) ).

fof(f2432,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f204,f367,f18,f376,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f13,f28,f27,f12,f11,f26,f10,f20,f25,f24,f19,f9,f968,f2067,f15,f2431]) ).

fof(f2426,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f7,f6,f5,f33,f8,f204,f367,f18,f376,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f13,f28,f27,f12,f11,f26,f10,f20,f25,f24,f19,f9,f43,f2415,f2422,f15]) ).

fof(f2422,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f14,f43]) ).

fof(f2415,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f9,f43]) ).

fof(f43,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f2424,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f15,f7,f6,f5,f33,f8,f204,f367,f18,f376,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f13,f28,f27,f12,f11,f26,f10,f20,f25,f24,f19,f9,f43,f2415,f2422]) ).

fof(f2421,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f2420]) ).

fof(f2420,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f14,f29,f1,f2,f4,f3,f60,f208,f36,f32,f30,f17,f15,f7,f6,f5,f33,f8,f204,f367,f18,f376,f441,f444,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f22,f23,f13,f28,f27,f12,f11,f26,f10,f20,f25,f24,f19,f9,f43,f2415]) ).

fof(f2419,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2418]) ).

fof(f2418,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2417,f2024]) ).

fof(f2417,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2416,f327]) ).

fof(f2416,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2415,f2371]) ).

fof(f2371,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f939,f404]) ).

fof(f939,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f933,f40]) ).

fof(f933,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f205,f377]) ).

fof(f377,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f2356,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2355]) ).

fof(f2355,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f2063,f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23,f22,f21]) ).

fof(f2326,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2325,f327]) ).

fof(f2325,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f13,f941]) ).

fof(f372,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f2332,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f770,f915,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2024,f2313,f2314,f2326,f1951]) ).

fof(f1951,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1950,f327]) ).

fof(f1950,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f11,f941]) ).

fof(f2314,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f770,f915,f21,f1951,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2024,f2313]) ).

fof(f2313,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2312,f327]) ).

fof(f2312,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f12,f941]) ).

fof(f1945,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1944,f327]) ).

fof(f1944,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f922,f941]) ).

fof(f1924,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1468,f941]) ).

fof(f1468,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1388,f377]) ).

fof(f1590,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1552,f941]) ).

fof(f1552,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1463,f377]) ).

fof(f1919,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1615,f941]) ).

fof(f1615,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_4 ),
    inference(superposition,[],[f1286,f377]) ).

fof(f1909,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1838,f941]) ).

fof(f1838,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f1692,f377]) ).

fof(f941,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f940,f409]) ).

fof(f940,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f939,f331]) ).

fof(f944,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f938,f40]) ).

fof(f938,plain,
    ( inverse(sk_c8) = sk_c1
    | ~ spl0_4 ),
    inference(superposition,[],[f716,f377]) ).

fof(f937,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f699,f377]) ).

fof(f936,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_4 ),
    inference(superposition,[],[f696,f377]) ).

fof(f943,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f935,f716]) ).

fof(f935,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_4 ),
    inference(superposition,[],[f633,f377]) ).

fof(f942,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f934,f40]) ).

fof(f934,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f377]) ).

fof(f932,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f377]) ).

fof(f931,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f377]) ).

fof(f2354,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2353]) ).

fof(f2353,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23,f22,f21]) ).

fof(f2352,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2351]) ).

fof(f2351,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1947,f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23,f22]) ).

fof(f1947,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1946,f327]) ).

fof(f1946,plain,
    ( sk_c3 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f911,f980]) ).

fof(f2350,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23,f22]) ).

fof(f2348,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2347]) ).

fof(f2347,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f2319,f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23]) ).

fof(f2319,plain,
    ( identity = sk_c3
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2318,f327]) ).

fof(f2318,plain,
    ( sk_c3 = multiply(sk_c7,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f27,f980]) ).

fof(f2346,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2345,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f2321,f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23]) ).

fof(f2321,plain,
    ( identity = sk_c3
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2320,f327]) ).

fof(f2320,plain,
    ( sk_c3 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f28,f980]) ).

fof(f2344,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326,f23]) ).

fof(f2342,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f1951,f2332,f770,f2024,f372,f915,f2326]) ).

fof(f2340,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

fof(f2339,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f1949,f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f2326,f1951,f2332,f770,f2024,f372,f915]) ).

fof(f1949,plain,
    ( identity = sk_c3
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1948,f327]) ).

fof(f1948,plain,
    ( sk_c3 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f26,f980]) ).

fof(f2338,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f2326,f1951,f2332,f770,f2024,f372,f915]) ).

fof(f2336,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2335]) ).

fof(f2335,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f377,f931,f932,f942,f943,f936,f937,f944,f941,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1909,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1919,f1922,f1612,f1611,f1590,f1581,f1549,f1548,f1924,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f915,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f1945,f2313,f2314,f2326,f1951,f2332,f770,f2024,f372]) ).

fof(f2334,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2333]) ).

fof(f2333,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1922,f1612,f1611,f1581,f1549,f1548,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f915,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f2064,f2316,f2323,f2324,f2329,f2067,f2126,f770,f372]) ).

fof(f2126,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2125,f359]) ).

fof(f2125,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f21,f2064]) ).

fof(f2329,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2328,f359]) ).

fof(f2328,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f915,f2064]) ).

fof(f2324,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f44,f46,f3,f63,f60,f208,f224,f212,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f335,f351,f353,f338,f354,f357,f346,f359,f204,f367,f18,f337,f397,f398,f393,f407,f404,f410,f409,f414,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f911,f11,f922,f31,f926,f16,f930,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1912,f1835,f1834,f1757,f1756,f1913,f1717,f1648,f1647,f1620,f1922,f1612,f1611,f1581,f1549,f1548,f1927,f1465,f1449,f1448,f1493,f1928,f1345,f1344,f770,f915,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f2064,f2067,f2316,f2323]) ).

fof(f2323,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2322,f359]) ).

fof(f2322,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f23,f2064]) ).

fof(f2316,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2315,f359]) ).

fof(f2315,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f22,f2064]) ).

fof(f2064,plain,
    ( identity = sk_c3
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f2062]) ).

fof(f2311,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2310]) ).

fof(f2310,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f2309,f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f337,f397,f398,f393,f407,f404,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1548,f1449,f1344,f770,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f2067,f2025,f2156,f2168,f2165,f2178,f2177,f2288,f2157,f2172,f2295]) ).

fof(f2295,plain,
    ( identity != sk_c8
    | ~ spl0_10
    | spl0_12 ),
    inference(forward_demodulation,[],[f2067,f2025]) ).

fof(f2172,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2158,f2]) ).

fof(f2158,plain,
    ( sk_c8 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f328,f2025]) ).

fof(f2157,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f327,f2025]) ).

fof(f2288,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,identity)
        | identity != multiply(sk_c8,multiply(X8,sk_c8))
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2287,f2025]) ).

fof(f2287,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(sk_c8,multiply(X8,sk_c8))
        | identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2286,f2025]) ).

fof(f2286,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2285,f2025]) ).

fof(f2285,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f770,f2025]) ).

fof(f2177,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2161,f716]) ).

fof(f2161,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f335,f2025]) ).

fof(f2178,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2162,f204]) ).

fof(f2162,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f337,f2025]) ).

fof(f2165,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f393,f2025]) ).

fof(f2168,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),identity) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1464,f2025]) ).

fof(f2156,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f326,f2025]) ).

fof(f2309,plain,
    ( identity != sk_c8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2308,f1]) ).

fof(f2308,plain,
    ( sk_c8 != multiply(identity,identity)
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2020,f2025]) ).

fof(f2020,plain,
    ( sk_c8 != multiply(sk_c7,sk_c7)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f2307,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2305,f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f337,f397,f398,f393,f407,f404,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1548,f1449,f1344,f770,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f2067,f2025,f2156,f2168,f2165,f2178,f2177,f2288,f2157,f2172,f2295]) ).

fof(f2305,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f2304]) ).

fof(f2304,plain,
    ( identity = sk_c8
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2303,f2025]) ).

fof(f2303,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2302,f359]) ).

fof(f2302,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2301,f2064]) ).

fof(f2301,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2300,f1]) ).

fof(f2300,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f915,f2025]) ).

fof(f2299,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2298]) ).

fof(f2298,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f40,f327,f330,f328,f326,f343,f335,f351,f353,f204,f367,f18,f337,f397,f398,f393,f407,f404,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f1834,f1757,f1647,f1620,f1611,f1548,f1449,f1344,f770,f21,f1464,f1961,f1962,f1968,f1972,f1973,f1974,f1975,f2067,f2025,f2156,f2168,f2165,f2178,f2177,f2288,f2157,f2172,f2295]) ).

fof(f2297,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2296]) ).

fof(f2296,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f14,f29,f24,f9,f19,f1,f2,f4,f3,f60,f208,f36,f27,f25,f22,f20,f12,f10,f32,f30,f28,f23,f17,f15,f13,f7,f6,f5,f33,f8,f204,f367,f18,f205,f639,f633,f677,f689,f217,f702,f703,f706,f707,f698,f746,f727,f752,f716,f765,f766,f696,f829,f810,f699,f855,f865,f800,f794,f903,f730,f729,f904,f719,f718,f679,f26,f11,f31,f16,f676,f799,f1134,f1160,f1258,f1284,f1287,f1282,f1312,f1324,f1339,f1430,f1349,f1350,f1352,f1353,f1388,f1439,f1451,f1471,f1472,f1473,f1474,f1463,f1564,f1567,f1568,f1569,f1570,f1286,f1631,f1640,f1652,f1653,f1654,f1655,f1657,f1658,f1392,f1747,f1758,f1759,f1774,f1778,f1780,f1692,f1853,f1859,f1863,f1865,f21,f2021,f2034,f2067,f2025,f2183,f2295]) ).

fof(f2183,plain,
    ( identity = sk_c8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2170,f1]) ).

fof(f2170,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2021,f2025]) ).

fof(f2034,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f2021]) ).

fof(f2284,plain,
    ( spl0_5
    | spl0_6
    | spl0_6
    | spl0_5
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2271,f2066,f2023,f38,f891,f894,f894,f891]) ).

fof(f2271,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2270,f2155]) ).

fof(f2155,plain,
    ( identity = sk_c8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2025,f2068]) ).

fof(f2270,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2269,f2068]) ).

fof(f2269,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2268,f2155]) ).

fof(f2268,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2267,f2068]) ).

fof(f2267,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2266,f698]) ).

fof(f2266,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2265,f2155]) ).

fof(f2265,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2264,f2155]) ).

fof(f2264,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2263,f2068]) ).

fof(f2263,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2262,f698]) ).

fof(f2262,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2261,f2155]) ).

fof(f2261,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2260,f2155]) ).

fof(f2260,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2259,f2068]) ).

fof(f2259,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2258,f2155]) ).

fof(f2258,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2257,f2155]) ).

fof(f2257,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2256,f2155]) ).

fof(f2256,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2255,f2155]) ).

fof(f2255,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f770,f2155]) ).

fof(f2151,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2150,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2149,f2090]) ).

fof(f2090,plain,
    ( identity != sk_c8
    | spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2024,f2068]) ).

fof(f2149,plain,
    ( identity = sk_c8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2135,f2]) ).

fof(f2135,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f60,f2089]) ).

fof(f2089,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f2021,f2068]) ).

fof(f2146,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2144,f2090]) ).

fof(f2144,plain,
    ( identity = sk_c8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2132,f696]) ).

fof(f2132,plain,
    ( sk_c8 = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f1388,f2089]) ).

fof(f2142,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2141]) ).

fof(f2141,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2140,f2090]) ).

fof(f2140,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2130,f327]) ).

fof(f2130,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f326,f2089]) ).

fof(f2139,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2138,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2137,f2090]) ).

fof(f2137,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2129,f393]) ).

fof(f2129,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f1464,f2089]) ).

fof(f2074,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2073]) ).

fof(f2073,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_10
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2072,f2067]) ).

fof(f2072,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f2071,f359]) ).

fof(f2071,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f2070,f968]) ).

fof(f2070,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1951,f2024]) ).

fof(f2069,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2060,f966,f962,f42,f38,f2066,f2062]) ).

fof(f2060,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2059,f359]) ).

fof(f2059,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1949,f968]) ).

fof(f2026,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1945,f375,f42,f38,f2023,f2019]) ).

fof(f1907,plain,
    ( spl0_5
    | spl0_6
    | spl0_6
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1304,f966,f962,f375,f371,f42,f38,f891,f894,f894,f891]) ).

fof(f1304,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1303,f1021]) ).

fof(f1021,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1020,f997]) ).

fof(f1020,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f1019,f327]) ).

fof(f1019,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f1018,f941]) ).

fof(f1018,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f918,f967]) ).

fof(f1303,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1302,f997]) ).

fof(f1302,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1301,f1021]) ).

fof(f1301,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1300,f997]) ).

fof(f1300,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1299,f698]) ).

fof(f1299,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1298,f1021]) ).

fof(f1298,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1297,f1021]) ).

fof(f1297,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1296,f997]) ).

fof(f1296,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1295,f698]) ).

fof(f1295,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1294,f1021]) ).

fof(f1294,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1293,f1021]) ).

fof(f1293,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1292,f997]) ).

fof(f1292,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1291,f1021]) ).

fof(f1291,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1290,f1021]) ).

fof(f1290,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1289,f1021]) ).

fof(f1289,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1288,f1021]) ).

fof(f1288,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f770,f1021]) ).

fof(f969,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f925,f371,f42,f38,f966,f962]) ).

fof(f896,plain,
    ( spl0_5
    | spl0_6
    | spl0_6
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f787,f375,f371,f42,f38,f891,f894,f894,f891]) ).

fof(f378,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f375,f371]) ).

fof(f304,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f302,f72]) ).

fof(f72,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f69,f50]) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f39]) ).

fof(f39,plain,
    ( inverse(sk_c8) != sk_c7
    | spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f69,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f64,f51]) ).

fof(f51,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f39]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f39]) ).

fof(f302,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f285,f161]) ).

fof(f161,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f144]) ).

fof(f144,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f133,f46]) ).

fof(f133,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f115]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f113,f63]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f56,f72]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f39]) ).

fof(f285,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f252]) ).

fof(f252,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f251,f2]) ).

fof(f251,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f219,f72]) ).

fof(f219,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f65]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f49]) ).

fof(f45,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f42,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP233-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 05:24:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (14997)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (15000)WARNING: value z3 for option sas not known
% 0.13/0.37  % (14998)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (14999)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (15001)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (15000)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)
% 0.13/0.37  % (15003)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)
% 0.13/0.37  % (15002)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)
% 0.13/0.37  % (15004)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)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.13/0.40  TRYING [5]
% 0.13/0.40  TRYING [4]
% 0.20/0.43  % (15000)First to succeed.
% 0.20/0.43  TRYING [6]
% 0.20/0.44  % (15000)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14997"
% 0.20/0.44  % (15000)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (15000)------------------------------
% 0.20/0.45  % (15000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45  % (15000)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (15000)Memory used [KB]: 1740
% 0.20/0.45  % (15000)Time elapsed: 0.074 s
% 0.20/0.45  % (15000)Instructions burned: 146 (million)
% 0.20/0.45  % (14997)Success in time 0.086 s
%------------------------------------------------------------------------------