%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP375-1 : 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 : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:28:55 EDT 2024

% Result   : Unsatisfiable 0.24s 0.50s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  763 ( 255 unt;   0 def)
%            Number of atoms       : 2263 (1261 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives : 2858 (1358   ~;1492   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  786 ( 786   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3089,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f348,f396,f1457,f1588,f1862,f2476,f2511,f2542,f2546,f2548,f2550,f2560,f2566,f2616,f2643,f2703,f2866,f2927,f3082,f3084,f3086,f3088]) ).

fof(f3088,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3087]) ).

fof(f3087,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3080,f1587]) ).

fof(f1587,plain,
    ( identity = sk_c9
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1585,plain,
    ( spl0_8
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3080,plain,
    ( identity != sk_c9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(superposition,[],[f3049,f395]) ).

fof(f395,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_4
  <=> sk_c9 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3049,plain,
    ( ! [X0] : identity != inverse(X0)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f3048,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f3048,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(identity,identity) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(inner_rewriting,[],[f3047]) ).

fof(f3047,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != multiply(inverse(X0),identity) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f3046]) ).

fof(f3046,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | identity != inverse(X0)
        | identity != multiply(inverse(X0),identity) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2994,f902]) ).

fof(f902,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f818,f370]) ).

fof(f370,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f50]) ).

fof(f50,plain,
    ( inverse(sk_c10) = sk_c9
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_1
  <=> inverse(sk_c10) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f818,plain,
    ( identity = inverse(multiply(sk_c9,sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f698,f372]) ).

fof(f372,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f371,f1]) ).

fof(f371,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f370]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f698,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f616,f3]) ).

fof(f616,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f527,f2]) ).

fof(f527,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f83,f83]) ).

fof(f83,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f71,f1]) ).

fof(f71,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f2994,plain,
    ( ! [X0] :
        ( inverse(X0) != inverse(identity)
        | identity != inverse(X0)
        | identity != multiply(inverse(X0),identity) )
    | ~ spl0_6 ),
    inference(superposition,[],[f1456,f1]) ).

fof(f1456,plain,
    ( ! [X8,X6] :
        ( inverse(X8) != multiply(X8,inverse(X6))
        | inverse(X6) != X8
        | identity != multiply(inverse(X6),identity) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1455]) ).

fof(f1455,plain,
    ( spl0_6
  <=> ! [X6,X8] :
        ( inverse(X6) != X8
        | inverse(X8) != multiply(X8,inverse(X6))
        | identity != multiply(inverse(X6),identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3086,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3085]) ).

fof(f3085,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3079,f1935]) ).

fof(f1935,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1934,f2]) ).

fof(f1934,plain,
    ( sk_c10 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1933,f1882]) ).

fof(f1882,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1878,f1]) ).

fof(f1878,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1599,f1587]) ).

fof(f1599,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1592,f50]) ).

fof(f1592,plain,
    ( sk_c8 = multiply(sk_c9,inverse(sk_c10))
    | ~ spl0_7 ),
    inference(superposition,[],[f1020,f1583]) ).

fof(f1583,plain,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1581,plain,
    ( spl0_7
  <=> sk_c9 = multiply(sk_c8,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1020,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f957,f631]) ).

fof(f631,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f617,f517]) ).

fof(f517,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f83,f2]) ).

fof(f617,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f527,f517]) ).

fof(f957,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f935,f83]) ).

fof(f935,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f839,f617]) ).

fof(f839,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f83,f698]) ).

fof(f1933,plain,
    ( sk_c10 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1595,f1587]) ).

fof(f1595,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c9)
    | ~ spl0_7 ),
    inference(superposition,[],[f83,f1583]) ).

fof(f3079,plain,
    ( identity != sk_c10
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f3049,f669]) ).

fof(f669,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f631,f50]) ).

fof(f3084,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3083]) ).

fof(f3083,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f3078,f1587]) ).

fof(f3078,plain,
    ( identity != sk_c9
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f3049,f50]) ).

fof(f3082,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3081]) ).

fof(f3081,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f3074]) ).

fof(f3074,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f3049,f902]) ).

fof(f2927,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2926]) ).

fof(f2926,plain,
    ( $false
    | spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913,f2914,f2915,f2916,f2919,f2920,f2921,f2922,f2923,f2924,f2925]) ).

fof(f2925,plain,
    ( identity != multiply(sk_c8,sk_c10)
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1582,f1587]) ).

fof(f1582,plain,
    ( sk_c9 != multiply(sk_c8,sk_c10)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f2924,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913,f2914,f2915,f2916,f2919,f2920,f2921,f2922,f2923]) ).

fof(f2923,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f1587]) ).

fof(f2922,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913,f2914,f2915,f2916,f2919,f2920,f2921]) ).

fof(f2921,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | inverse(sk_c6) = sk_c5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f41,f1587]) ).

fof(f2920,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913,f2914,f2915,f2916,f2919]) ).

fof(f2919,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f42,f1587]) ).

fof(f2916,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913,f2914,f2915]) ).

fof(f2915,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c4,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f1587]) ).

fof(f2914,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910,f2911,f2913]) ).

fof(f2913,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | identity = multiply(sk_c8,sk_c10)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2912,f1587]) ).

fof(f2912,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c7,sk_c9)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f40,f1587]) ).

fof(f2911,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908,f2909,f2910]) ).

fof(f2910,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f43,f1587]) ).

fof(f2909,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19,f2652,f32,f31,f29,f53,f1587,f2906,f2908]) ).

fof(f2908,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | identity = multiply(sk_c2,sk_c10)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2907,f1587]) ).

fof(f2907,plain,
    ( identity = multiply(sk_c2,sk_c10)
    | sk_c9 = multiply(sk_c8,sk_c10)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f1587]) ).

fof(f2906,plain,
    ( identity = multiply(sk_c8,sk_c10)
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2905,f1587]) ).

fof(f2905,plain,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f35,f53]) ).

fof(f53,plain,
    ( sk_c10 != inverse(sk_c2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_2
  <=> sk_c10 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f31,axiom,
    ( sk_c10 = inverse(sk_c1)
    | inverse(sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f2652,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f53,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23,f2650,f24,f19]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f24,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f2650,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f19,f24,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f53,f25,f15,f2645,f14,f2646,f18,f2648,f20,f2649,f23]) ).

fof(f23,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f2649,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f19,f24,f23,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f53,f25,f15,f2645,f14,f2646,f18,f2648,f20]) ).

fof(f20,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | sk_c10 = multiply(sk_c7,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f2648,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f19,f24,f23,f20,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f53,f25,f15,f2645,f14,f2646,f18]) ).

fof(f18,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | sk_c10 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f2646,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f19,f24,f23,f20,f18,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f34,f35,f53,f25,f15,f2645,f14]) ).

fof(f14,axiom,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f2645,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f29,f31,f32,f19,f24,f23,f20,f18,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f14,f34,f35,f53,f25,f15]) ).

fof(f15,axiom,
    ( sk_c10 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f25,axiom,
    ( sk_c10 = inverse(sk_c2)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f35,axiom,
    ( sk_c10 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f34,axiom,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f597,plain,
    identity = inverse(identity),
    inference(superposition,[],[f585,f517]) ).

fof(f600,plain,
    identity = inverse(identity),
    inference(superposition,[],[f517,f585]) ).

fof(f634,plain,
    identity = inverse(identity),
    inference(superposition,[],[f617,f2]) ).

fof(f644,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f617]) ).

fof(f693,plain,
    identity = inverse(identity),
    inference(superposition,[],[f616,f1]) ).

fof(f699,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f616]) ).

fof(f1501,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f646,f631]) ).

fof(f646,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f585,f617]) ).

fof(f1502,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f636,f631]) ).

fof(f636,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f617,f585]) ).

fof(f903,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f819,f2]) ).

fof(f819,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f698,f83]) ).

fof(f904,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f820,f616]) ).

fof(f820,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f698,f618]) ).

fof(f916,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f830,f2]) ).

fof(f830,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f83,f698]) ).

fof(f917,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f831,f616]) ).

fof(f831,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f618,f698]) ).

fof(f986,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f941,f616]) ).

fof(f941,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f935,f1]) ).

fof(f1351,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1312,f616]) ).

fof(f1312,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1024,f517]) ).

fof(f1464,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1311,f2]) ).

fof(f1311,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f1024,f617]) ).

fof(f516,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f83,f1]) ).

fof(f746,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f618,f1]) ).

fof(f752,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f618]) ).

fof(f1203,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f939,f2]) ).

fof(f1465,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1212,f631]) ).

fof(f1212,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f939,f616]) ).

fof(f1467,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1466,f631]) ).

fof(f1466,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1211,f935]) ).

fof(f1211,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f939,f698]) ).

fof(f1468,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1205,f631]) ).

fof(f1205,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f939,f585]) ).

fof(f1482,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1481,f631]) ).

fof(f1481,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f944,f631]) ).

fof(f944,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f935,f585]) ).

fof(f1483,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f942,f631]) ).

fof(f942,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f935,f2]) ).

fof(f1073,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1020,f617]) ).

fof(f1369,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f1368,f631]) ).

fof(f1368,plain,
    ! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
    inference(forward_demodulation,[],[f1321,f935]) ).

fof(f1321,plain,
    ! [X0,X1] : multiply(inverse(identity),X0) = inverse(multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1024,f698]) ).

fof(f1371,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f1322,f631]) ).

fof(f1322,plain,
    ! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
    inference(superposition,[],[f1024,f616]) ).

fof(f1397,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1259,f616]) ).

fof(f1435,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f1401,f631]) ).

fof(f1401,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(superposition,[],[f1259,f2]) ).

fof(f1439,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f1438,f631]) ).

fof(f1438,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f1404,f631]) ).

fof(f1404,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(inverse(inverse(X0))))) = X0,
    inference(superposition,[],[f1259,f585]) ).

fof(f1471,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1074,f631]) ).

fof(f1074,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1020,f517]) ).

fof(f1167,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1092,f617]) ).

fof(f1173,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f617,f1092]) ).

fof(f960,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f935,f616]) ).

fof(f1475,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f959,f935]) ).

fof(f959,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f935,f698]) ).

fof(f1302,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(X0)),
    inference(superposition,[],[f1024,f2]) ).

fof(f1342,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(X0)),
    inference(forward_demodulation,[],[f1304,f631]) ).

fof(f1304,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(inverse(inverse(X0)))),
    inference(superposition,[],[f1024,f585]) ).

fof(f787,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f698,f2]) ).

fof(f1494,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f789,f631]) ).

fof(f789,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f698,f585]) ).

fof(f2252,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2185,f2]) ).

fof(f2185,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f981,f616]) ).

fof(f2258,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2188,f616]) ).

fof(f2188,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f981,f2]) ).

fof(f2261,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2260,f616]) ).

fof(f2260,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2191,f631]) ).

fof(f2191,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f981,f585]) ).

fof(f2262,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2193,f2]) ).

fof(f2193,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f616,f981]) ).

fof(f2272,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2199,f616]) ).

fof(f2199,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2,f981]) ).

fof(f2275,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2274,f616]) ).

fof(f2274,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2202,f631]) ).

fof(f2202,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f585,f981]) ).

fof(f2293,plain,
    identity = inverse(identity),
    inference(superposition,[],[f984,f616]) ).

fof(f2627,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2298,f631]) ).

fof(f2298,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f984,f1]) ).

fof(f2353,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2352,f616]) ).

fof(f2352,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f2299,f631]) ).

fof(f2299,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(superposition,[],[f984,f2]) ).

fof(f2359,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2358,f616]) ).

fof(f2358,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(forward_demodulation,[],[f2357,f631]) ).

fof(f2357,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f2302,f631]) ).

fof(f2302,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))),
    inference(superposition,[],[f984,f585]) ).

fof(f2385,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1235,f2]) ).

fof(f2445,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2388,f616]) ).

fof(f2388,plain,
    ! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
    inference(superposition,[],[f1235,f585]) ).

fof(f2390,plain,
    ! [X0] : inverse(X0) = multiply(inverse(identity),inverse(X0)),
    inference(superposition,[],[f1235,f517]) ).

fof(f2447,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2391,f631]) ).

fof(f2391,plain,
    ! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
    inference(superposition,[],[f1235,f617]) ).

fof(f2626,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2453,f2]) ).

fof(f2453,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(forward_demodulation,[],[f2452,f617]) ).

fof(f2452,plain,
    ! [X0] : inverse(identity) = multiply(multiply(inverse(X0),identity),X0),
    inference(forward_demodulation,[],[f2451,f616]) ).

fof(f2451,plain,
    ! [X0,X1] : inverse(identity) = multiply(multiply(inverse(X0),multiply(X1,inverse(X1))),X0),
    inference(forward_demodulation,[],[f2450,f3]) ).

fof(f2450,plain,
    ! [X0,X1] : inverse(identity) = multiply(multiply(multiply(inverse(X0),X1),inverse(X1)),X0),
    inference(forward_demodulation,[],[f2394,f984]) ).

fof(f2394,plain,
    ! [X0,X1] : inverse(identity) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X1)))),X0),
    inference(superposition,[],[f1235,f698]) ).

fof(f2456,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2396,f585]) ).

fof(f2396,plain,
    ! [X0] : inverse(identity) = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f1235,f616]) ).

fof(f43,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f40,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c7,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f38,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | sk_c10 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f42,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

fof(f41,axiom,
    ( inverse(sk_c6) = sk_c5
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

fof(f39,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f28,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f30,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c7,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f33,axiom,
    ( sk_c10 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f21,axiom,
    ( inverse(sk_c6) = sk_c5
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f2420,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,multiply(inverse(X1),X0))),X2),
    inference(superposition,[],[f1259,f1235]) ).

fof(f2419,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X1),X0)),multiply(inverse(X0),X1)) = X2,
    inference(superposition,[],[f1092,f1235]) ).

fof(f2418,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X0),X1)),multiply(inverse(X1),X0)) = X2,
    inference(superposition,[],[f1020,f1235]) ).

fof(f2474,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X2))) = inverse(multiply(X2,multiply(inverse(X1),X0))),
    inference(forward_demodulation,[],[f2417,f3]) ).

fof(f2417,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X1),X0))) = multiply(multiply(inverse(X0),X1),inverse(X2)),
    inference(superposition,[],[f984,f1235]) ).

fof(f2473,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = multiply(inverse(multiply(X1,X2)),X0),
    inference(forward_demodulation,[],[f2472,f1235]) ).

fof(f2472,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = inverse(multiply(inverse(X0),multiply(X1,X2))),
    inference(forward_demodulation,[],[f2416,f3]) ).

fof(f2416,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
    inference(superposition,[],[f981,f1235]) ).

fof(f2471,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(inverse(X1),multiply(X0,inverse(X2))),
    inference(forward_demodulation,[],[f2415,f3]) ).

fof(f2415,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(multiply(inverse(X1),X0),inverse(X2)),
    inference(superposition,[],[f981,f1235]) ).

fof(f2470,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,multiply(inverse(multiply(X0,X2)),X1)),
    inference(forward_demodulation,[],[f2469,f1235]) ).

fof(f2469,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(inverse(X1),multiply(X0,X2)))),
    inference(forward_demodulation,[],[f2414,f3]) ).

fof(f2414,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(multiply(inverse(X1),X0),X2))),
    inference(superposition,[],[f939,f1235]) ).

fof(f2468,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(X0,X2))) = X2,
    inference(forward_demodulation,[],[f2412,f3]) ).

fof(f2412,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(X1),X0),X2)) = X2,
    inference(superposition,[],[f618,f1235]) ).

fof(f2411,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X0),X1),multiply(inverse(X1),X0)),
    inference(superposition,[],[f616,f1235]) ).

fof(f2467,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f2410,f631]) ).

fof(f2410,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X1)),
    inference(superposition,[],[f585,f1235]) ).

fof(f2465,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(inverse(X0),multiply(X1,X2))) = X2,
    inference(forward_demodulation,[],[f2407,f3]) ).

fof(f2407,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(multiply(inverse(X0),X1),X2)) = X2,
    inference(superposition,[],[f83,f1235]) ).

fof(f2406,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(superposition,[],[f2,f1235]) ).

fof(f2424,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = multiply(inverse(multiply(X0,X2)),X1),
    inference(forward_demodulation,[],[f2423,f1235]) ).

fof(f2423,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(inverse(X1),multiply(X0,X2))),
    inference(forward_demodulation,[],[f2378,f3]) ).

fof(f2378,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(multiply(inverse(X1),X0),X2)),
    inference(superposition,[],[f1235,f1235]) ).

fof(f2422,plain,
    ! [X2,X0,X1] : inverse(multiply(X1,multiply(inverse(X0),X2))) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2377,f3]) ).

fof(f2377,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X0)),X2)) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(superposition,[],[f1235,f984]) ).

fof(f1235,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f83,f939]) ).

fof(f2325,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X1,inverse(X0)))),X2),
    inference(superposition,[],[f1259,f984]) ).

fof(f2324,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,inverse(X0))),multiply(X0,inverse(X1))) = X2,
    inference(superposition,[],[f1092,f984]) ).

fof(f2323,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X0,inverse(X1))),multiply(X1,inverse(X0))) = X2,
    inference(superposition,[],[f1020,f984]) ).

fof(f2374,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,inverse(X0))) = inverse(multiply(X0,multiply(inverse(X1),X2))),
    inference(forward_demodulation,[],[f2322,f3]) ).

fof(f2322,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X1)),X2)) = multiply(inverse(X2),multiply(X1,inverse(X0))),
    inference(superposition,[],[f981,f984]) ).

fof(f2373,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,inverse(multiply(X2,X0))),
    inference(forward_demodulation,[],[f2372,f981]) ).

fof(f2372,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,multiply(inverse(X0),inverse(X2))),
    inference(forward_demodulation,[],[f2321,f3]) ).

fof(f2321,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(multiply(X1,inverse(X0)),inverse(X2)),
    inference(superposition,[],[f981,f984]) ).

fof(f2371,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(X1,multiply(inverse(X0),X2)))),
    inference(forward_demodulation,[],[f2320,f3]) ).

fof(f2320,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(multiply(X1,inverse(X0)),X2))),
    inference(superposition,[],[f939,f984]) ).

fof(f2370,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(inverse(X0),X2))) = X2,
    inference(forward_demodulation,[],[f2318,f3]) ).

fof(f2318,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),X2)) = X2,
    inference(superposition,[],[f618,f984]) ).

fof(f2317,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f616,f984]) ).

fof(f2369,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2316,f631]) ).

fof(f2316,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(X1,inverse(X0)))),multiply(X0,inverse(X1))),
    inference(superposition,[],[f585,f984]) ).

fof(f2367,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(X1),X2))) = X2,
    inference(forward_demodulation,[],[f2313,f3]) ).

fof(f2313,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(multiply(X0,inverse(X1)),X2)) = X2,
    inference(superposition,[],[f83,f984]) ).

fof(f2312,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2,f984]) ).

fof(f2306,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[],[f984,f3]) ).

fof(f2328,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
    inference(forward_demodulation,[],[f2327,f981]) ).

fof(f2327,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,multiply(inverse(X1),inverse(X2))),
    inference(forward_demodulation,[],[f2286,f3]) ).

fof(f2286,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
    inference(superposition,[],[f984,f984]) ).

fof(f984,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f618,f935]) ).

fof(f2211,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f981]) ).

fof(f2203,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f527,f981]) ).

fof(f2192,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f981,f527]) ).

fof(f2179,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f981,f631]) ).

fof(f2172,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f981,f631]) ).

fof(f981,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f83,f935]) ).

fof(f37,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c8,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f36,axiom,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f873,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f804,f3]) ).

fof(f804,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f698,f698]) ).

fof(f805,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f698,f616]) ).

fof(f1422,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1092,f1259]) ).

fof(f1420,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1259]) ).

fof(f1416,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1020,f1259]) ).

fof(f1410,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1259,f3]) ).

fof(f1259,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1213,f631]) ).

fof(f1213,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f939,f935]) ).

fof(f1339,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1092,f1024]) ).

fof(f1337,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1024]) ).

fof(f1333,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1020,f1024]) ).

fof(f1320,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1024,f618]) ).

fof(f1319,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1024,f83]) ).

fof(f1310,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1024,f3]) ).

fof(f1024,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f961,f631]) ).

fof(f961,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f935,f935]) ).

fof(f1239,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f939]) ).

fof(f1238,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f618,f939]) ).

fof(f1236,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f939]) ).

fof(f1234,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f698,f939]) ).

fof(f1233,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f935,f939]) ).

fof(f1221,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f939,f3]) ).

fof(f1214,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f939,f939]) ).

fof(f939,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f842,f617]) ).

fof(f842,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f618,f698]) ).

fof(f1171,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1092]) ).

fof(f1170,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f83,f1092]) ).

fof(f1169,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f698,f1092]) ).

fof(f1168,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f935,f1092]) ).

fof(f1165,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1092,f3]) ).

fof(f1092,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1020,f631]) ).

fof(f1100,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1020]) ).

fof(f1099,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f83,f1020]) ).

fof(f1098,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f698,f1020]) ).

fof(f1097,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f935,f1020]) ).

fof(f1082,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1020,f618]) ).

fof(f1072,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1020,f3]) ).

fof(f985,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f935]) ).

fof(f982,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f935]) ).

fof(f1063,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f980,f631]) ).

fof(f980,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f698,f935]) ).

fof(f971,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f935,f3]) ).

fof(f958,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f935,f618]) ).

fof(f948,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f935,f3]) ).

fof(f940,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f843,f3]) ).

fof(f843,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f698]) ).

fof(f937,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f936,f3]) ).

fof(f936,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f840,f1]) ).

fof(f840,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f698]) ).

fof(f910,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f826,f3]) ).

fof(f826,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f698,f3]) ).

fof(f815,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f698,f3]) ).

fof(f793,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f698,f3]) ).

fof(f761,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f618]) ).

fof(f751,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f618,f3]) ).

fof(f618,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f527,f83]) ).

fof(f709,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f616]) ).

fof(f731,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f707,f1]) ).

fof(f707,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f616]) ).

fof(f678,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f631]) ).

fof(f677,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f83,f631]) ).

fof(f667,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f654,f617]) ).

fof(f654,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f527,f617]) ).

fof(f641,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f517,f617]) ).

fof(f660,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f639,f617]) ).

fof(f639,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f617,f527]) ).

fof(f624,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f83,f527]) ).

fof(f623,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f517,f527]) ).

fof(f621,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f83,f527]) ).

fof(f620,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f527]) ).

fof(f610,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f599,f1]) ).

fof(f599,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f585]) ).

fof(f598,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f83,f585]) ).

fof(f585,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f83,f517]) ).

fof(f592,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f586,f1]) ).

fof(f586,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f517]) ).

fof(f520,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f83,f3]) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c10 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f7,axiom,
    ( sk_c9 = inverse(sk_c3)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c4)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f11,axiom,
    ( inverse(sk_c6) = sk_c5
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c5)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f4,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c9 = multiply(sk_c2,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( inverse(sk_c10) = sk_c9
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f8,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f10,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c10 = multiply(sk_c7,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f13,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f17,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f26,axiom,
    ( sk_c10 = inverse(sk_c1)
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f16,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f46,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c10 != inverse(X3)
      | sk_c10 != inverse(X4)
      | inverse(sk_c10) != sk_c9
      | inverse(X6) != inverse(inverse(X8))
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c9 != multiply(sk_c8,sk_c10)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c10 != multiply(inverse(X6),sk_c9)
      | sk_c10 != multiply(X6,inverse(X6))
      | inverse(X8) != multiply(X8,inverse(X6)) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X8,X6,X9,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c10 != inverse(X3)
      | sk_c10 != inverse(X4)
      | inverse(sk_c10) != sk_c9
      | inverse(X6) != inverse(X9)
      | inverse(X8) != X9
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c9 != multiply(sk_c8,sk_c10)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c10 != multiply(inverse(X6),sk_c9)
      | sk_c10 != multiply(X6,inverse(X6))
      | multiply(X8,inverse(X6)) != X9 ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c10 != inverse(X3)
      | sk_c10 != inverse(X4)
      | inverse(sk_c10) != sk_c9
      | inverse(X6) != X7
      | inverse(X9) != X7
      | inverse(X8) != X9
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c9 != multiply(sk_c8,sk_c10)
      | sk_c9 != multiply(X3,sk_c10)
      | sk_c9 != multiply(X4,sk_c10)
      | sk_c10 != multiply(X7,sk_c9)
      | sk_c10 != multiply(X6,X7)
      | multiply(X8,X7) != X9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

fof(f5,axiom,
    ( sk_c10 = inverse(sk_c2)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2866,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2835,f1585,f1581,f48,f1455,f1452,f1452,f1452]) ).

fof(f1452,plain,
    ( spl0_5
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2835,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2834,f1587]) ).

fof(f2834,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2833,f1587]) ).

fof(f2833,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2832,f1587]) ).

fof(f2832,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2831,f1587]) ).

fof(f2831,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2830,f1587]) ).

fof(f2830,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2829,f1587]) ).

fof(f2829,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c9
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2828,f2513]) ).

fof(f2513,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2512,f1]) ).

fof(f2512,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1599,f1587]) ).

fof(f2828,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != sk_c8
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1510,f1935]) ).

fof(f1510,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != sk_c8
        | identity != sk_c10
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f1509]) ).

fof(f1509,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != sk_c8
        | identity != sk_c10
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1508,f617]) ).

fof(f1508,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c10
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,identity)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(inner_rewriting,[],[f1507]) ).

fof(f1507,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c10
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | sk_c10 != inverse(X3)
        | sk_c10 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1506,f616]) ).

fof(f1506,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | sk_c10 != inverse(X3)
        | sk_c10 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f553,f631]) ).

fof(f553,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != inverse(X5)
        | sk_c10 != inverse(X3)
        | sk_c10 != inverse(X4)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f46,f50]) ).

fof(f2703,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2701,f1586]) ).

fof(f1586,plain,
    ( identity != sk_c9
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f2701,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2700,f370]) ).

fof(f2700,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2645,f2656]) ).

fof(f2656,plain,
    ( sk_c9 = sk_c1
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f671,f50]) ).

fof(f671,plain,
    ( inverse(sk_c10) = sk_c1
    | ~ spl0_3 ),
    inference(superposition,[],[f631,f391]) ).

fof(f391,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f389,plain,
    ( spl0_3
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2643,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f2642]) ).

fof(f2642,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20,f2623,f18,f2624,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f14,f2635,f34,f35,f15,f2640,f25,f2641,f53]) ).

fof(f2641,plain,
    ( sk_c10 = inverse(sk_c2)
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20,f2623,f18,f2624,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f14,f2635,f34,f35,f15,f2640,f25]) ).

fof(f2640,plain,
    ( sk_c10 = inverse(sk_c2)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f1,f2,f5,f3,f46,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20,f2623,f18,f2624,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f14,f2635,f34,f35,f15]) ).

fof(f2635,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f805,f873,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20,f2623,f18,f2624,f2456,f2626,f2447,f2390,f2445,f2385,f2359,f2353,f2627,f2293,f2275,f2272,f2262,f2261,f2258,f2252,f1494,f787,f1342,f1302,f1475,f960,f1173,f1167,f1471,f1439,f1435,f1397,f1371,f1369,f1073,f1483,f1482,f1468,f1467,f1465,f1203,f752,f746,f516,f1464,f1351,f986,f917,f916,f904,f903,f1502,f1501,f699,f693,f644,f634,f600,f597,f14]) ).

fof(f2624,plain,
    ( sk_c10 = multiply(sk_c4,sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20,f2623,f18]) ).

fof(f2623,plain,
    ( sk_c10 = multiply(sk_c7,sk_c9)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23,f2622,f20]) ).

fof(f2622,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24,f2621,f23]) ).

fof(f2621,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f23,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19,f2620,f24]) ).

fof(f2620,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f23,f33,f30,f28,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32,f2619,f19]) ).

fof(f2619,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f23,f33,f30,f28,f19,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31,f2618,f32]) ).

fof(f2618,plain,
    ( inverse(sk_c6) = sk_c5
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f23,f33,f30,f28,f19,f32,f39,f41,f42,f38,f40,f43,f390,f29,f2617,f31]) ).

fof(f2617,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_3 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f3,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1439,f1435,f1397,f1371,f1369,f1351,f1464,f1342,f1302,f1465,f1467,f1468,f1203,f1173,f1167,f1471,f1073,f960,f1475,f1482,f1483,f986,f917,f916,f904,f903,f805,f873,f1494,f787,f752,f746,f699,f693,f1501,f644,f1502,f634,f600,f597,f516,f36,f37,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f18,f20,f23,f33,f30,f28,f19,f32,f31,f39,f41,f42,f38,f40,f43,f390,f29]) ).

fof(f390,plain,
    ( sk_c10 != inverse(sk_c1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f2616,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2615]) ).

fof(f2615,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1460,f1461,f1371,f1369,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1218,f1465,f1467,f1468,f1203,f1201,f1173,f1167,f1190,f1153,f1094,f1076,f1075,f1471,f1073,f1105,f978,f977,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f528,f526,f521,f516,f36,f37,f632,f1532,f1533,f669,f1548,f1561,f898,f1513,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586,f2587,f19,f2588,f32,f2589,f31,f2590,f29,f2591,f39,f41,f42,f38,f40,f43,f2431,f2381,f2380,f2335,f2289,f2288,f2601,f2181,f2180,f2602,f2174,f2173,f1510,f1462,f1318,f1317,f2134,f1228,f1227,f2603,f976,f975,f1559,f2605,f1394,f1117,f1080,f1079,f1556,f2607,f1200,f1558,f2017,f1152,f1557,f2609,f1093,f1586,f390]) ).

fof(f1093,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c10),sk_c9) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1020,f50]) ).

fof(f2609,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c9),sk_c10) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1094,f632]) ).

fof(f1557,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c9),sk_c10) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1020,f669]) ).

fof(f1152,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c9),sk_c10) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f50]) ).

fof(f2017,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c10),sk_c9) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1153,f632]) ).

fof(f1558,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c10),sk_c9) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1092,f669]) ).

fof(f1200,plain,
    ( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f939,f50]) ).

fof(f2607,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c10,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1201,f632]) ).

fof(f1556,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c10,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f939,f669]) ).

fof(f1079,plain,
    ( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f379]) ).

fof(f1080,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c10,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1020,f372]) ).

fof(f1117,plain,
    ( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1078,f373]) ).

fof(f1078,plain,
    ( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f86]) ).

fof(f1394,plain,
    ( ! [X0] : sk_c10 = multiply(inverse(multiply(X0,sk_c9)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1259,f50]) ).

fof(f2605,plain,
    ( ! [X0] : sk_c9 = multiply(inverse(multiply(X0,sk_c10)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1395,f632]) ).

fof(f1559,plain,
    ( ! [X0] : sk_c9 = multiply(inverse(multiply(X0,sk_c10)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1259,f669]) ).

fof(f975,plain,
    ( ! [X0] : multiply(sk_c9,inverse(X0)) = inverse(multiply(X0,sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f935]) ).

fof(f976,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f935]) ).

fof(f2603,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f978,f632]) ).

fof(f1227,plain,
    ( ! [X0] : multiply(sk_c9,X0) = inverse(multiply(inverse(X0),sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f939]) ).

fof(f1228,plain,
    ( ! [X0] : multiply(sk_c10,X0) = inverse(multiply(inverse(X0),sk_c9))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f939]) ).

fof(f2134,plain,
    ( ! [X0] : multiply(sk_c10,X0) = inverse(multiply(inverse(X0),sk_c9))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1230,f632]) ).

fof(f1317,plain,
    ( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f379]) ).

fof(f1318,plain,
    ( ! [X0] : inverse(multiply(sk_c10,X0)) = multiply(inverse(X0),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f1024,f372]) ).

fof(f1462,plain,
    ( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1316,f373]) ).

fof(f1316,plain,
    ( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f86]) ).

fof(f2173,plain,
    ( ! [X0] : multiply(sk_c9,inverse(X0)) = inverse(multiply(X0,sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f981,f50]) ).

fof(f2174,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f981,f669]) ).

fof(f2602,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2175,f632]) ).

fof(f2175,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f981,f54]) ).

fof(f2180,plain,
    ( ! [X0] : inverse(multiply(sk_c10,X0)) = multiply(inverse(X0),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f981,f50]) ).

fof(f2181,plain,
    ( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f981,f669]) ).

fof(f2601,plain,
    ( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2182,f373]) ).

fof(f2182,plain,
    ( ! [X0] : inverse(multiply(sk_c2,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_2 ),
    inference(superposition,[],[f981,f54]) ).

fof(f2288,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c9)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f984,f50]) ).

fof(f2289,plain,
    ( ! [X0] : multiply(sk_c9,inverse(X0)) = inverse(multiply(X0,sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f984,f669]) ).

fof(f2335,plain,
    ( ! [X0] : multiply(sk_c9,inverse(X0)) = inverse(multiply(X0,sk_c10))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2290,f373]) ).

fof(f2290,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c10)) = multiply(sk_c2,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f984,f54]) ).

fof(f2380,plain,
    ( ! [X0] : inverse(multiply(sk_c9,X0)) = multiply(inverse(X0),sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f1235,f50]) ).

fof(f2381,plain,
    ( ! [X0] : inverse(multiply(sk_c10,X0)) = multiply(inverse(X0),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f1235,f669]) ).

fof(f2431,plain,
    ( ! [X0] : inverse(multiply(sk_c10,X0)) = multiply(inverse(X0),sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2382,f632]) ).

fof(f2382,plain,
    ( ! [X0] : inverse(multiply(sk_c10,X0)) = multiply(inverse(X0),sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f1235,f54]) ).

fof(f2591,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586,f2587,f19,f2588,f32,f2589,f31,f2590,f29]) ).

fof(f2590,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586,f2587,f19,f2588,f32,f2589,f31]) ).

fof(f2589,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586,f2587,f19,f2588,f32]) ).

fof(f2588,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586,f2587,f19]) ).

fof(f2587,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f26,f24,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23,f2582,f33,f30,f28,f2586]) ).

fof(f2586,plain,
    ( identity = sk_c9
    | sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2585,f370]) ).

fof(f2585,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | sk_c10 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f24,f632]) ).

fof(f2582,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f16,f14,f33,f30,f28,f26,f24,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20,f2581,f23]) ).

fof(f2581,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f23,f16,f14,f33,f30,f28,f26,f24,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18,f2580,f20]) ).

fof(f2580,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f23,f20,f16,f14,f33,f30,f28,f26,f24,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527,f2576,f18]) ).

fof(f2576,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f23,f20,f18,f16,f14,f33,f30,f28,f26,f24,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1586,f690,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f21,f22,f1527]) ).

fof(f1527,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1526,f370]) ).

fof(f1526,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | sk_c9 = multiply(sk_c1,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f373]) ).

fof(f690,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f616,f50]) ).

fof(f1513,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c8,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1512,f370]) ).

fof(f1512,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | sk_c9 = multiply(sk_c8,sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f34,f373]) ).

fof(f898,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f816,f56]) ).

fof(f816,plain,
    ( identity = inverse(multiply(sk_c10,sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f698,f86]) ).

fof(f1561,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1552,f631]) ).

fof(f1552,plain,
    ( identity = multiply(inverse(inverse(sk_c10)),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f585,f669]) ).

fof(f1548,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f669]) ).

fof(f1533,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f632]) ).

fof(f1532,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f632]) ).

fof(f632,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f617,f374]) ).

fof(f521,plain,
    ( identity = multiply(inverse(sk_c9),sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f83,f374]) ).

fof(f526,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f83,f372]) ).

fof(f528,plain,
    ( sk_c10 = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f83,f370]) ).

fof(f582,plain,
    ( sk_c10 = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f517,f50]) ).

fof(f612,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f527,f50]) ).

fof(f642,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f374,f617]) ).

fof(f648,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f617]) ).

fof(f1500,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f670,f50]) ).

fof(f670,plain,
    ( inverse(sk_c10) = sk_c2
    | ~ spl0_2 ),
    inference(superposition,[],[f631,f54]) ).

fof(f691,plain,
    ( identity = multiply(sk_c2,sk_c10)
    | ~ spl0_2 ),
    inference(superposition,[],[f616,f54]) ).

fof(f1497,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f722,f50]) ).

fof(f722,plain,
    ( inverse(sk_c10) = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f701,f374]) ).

fof(f701,plain,
    ( inverse(sk_c10) = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f616]) ).

fof(f1496,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f702,f383]) ).

fof(f702,plain,
    ( multiply(sk_c10,identity) = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f616]) ).

fof(f736,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f618,f54]) ).

fof(f755,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f618]) ).

fof(f1493,plain,
    ( identity = multiply(sk_c2,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f790,f935]) ).

fof(f790,plain,
    ( ! [X0] : identity = multiply(sk_c2,multiply(X0,inverse(multiply(sk_c9,X0))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f698,f373]) ).

fof(f806,plain,
    ( identity = multiply(sk_c9,multiply(sk_c10,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f698,f370]) ).

fof(f883,plain,
    ( identity = multiply(sk_c10,multiply(sk_c9,inverse(identity)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f808,f373]) ).

fof(f808,plain,
    ( identity = multiply(sk_c10,multiply(sk_c2,inverse(identity)))
    | ~ spl0_2 ),
    inference(superposition,[],[f698,f56]) ).

fof(f812,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c9,inverse(multiply(X0,sk_c2))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f698,f373]) ).

fof(f817,plain,
    ( identity = inverse(multiply(sk_c10,sk_c9))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f698,f379]) ).

fof(f911,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f827,f56]) ).

fof(f827,plain,
    ( identity = inverse(multiply(sk_c10,sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f698]) ).

fof(f828,plain,
    ( identity = inverse(multiply(sk_c10,sk_c9))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f698]) ).

fof(f915,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f829,f370]) ).

fof(f829,plain,
    ( identity = inverse(multiply(sk_c9,sk_c10))
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f698]) ).

fof(f1490,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1489,f50]) ).

fof(f1489,plain,
    ( inverse(sk_c10) = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1488,f374]) ).

fof(f1488,plain,
    ( inverse(sk_c10) = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f834,f935]) ).

fof(f834,plain,
    ( ! [X0] : multiply(sk_c9,identity) = multiply(X0,inverse(multiply(sk_c10,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f372,f698]) ).

fof(f1487,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1486,f383]) ).

fof(f1486,plain,
    ( multiply(sk_c10,identity) = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f835,f935]) ).

fof(f835,plain,
    ( ! [X0] : multiply(sk_c10,identity) = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f698]) ).

fof(f1485,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1484,f383]) ).

fof(f1484,plain,
    ( multiply(sk_c10,identity) = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f929,f935]) ).

fof(f929,plain,
    ( ! [X0] : multiply(sk_c10,identity) = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f837,f373]) ).

fof(f837,plain,
    ( ! [X0] : multiply(sk_c10,identity) = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f698]) ).

fof(f1480,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f994,f54]) ).

fof(f994,plain,
    ( inverse(sk_c2) = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f945,f935]) ).

fof(f945,plain,
    ( ! [X0] : inverse(sk_c2) = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f935,f373]) ).

fof(f1479,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1002,f1]) ).

fof(f1002,plain,
    ( multiply(identity,sk_c10) = inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f952,f54]) ).

fof(f952,plain,
    ( inverse(sk_c9) = multiply(identity,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f935,f374]) ).

fof(f1476,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f956,f1020]) ).

fof(f956,plain,
    ( ! [X0] : inverse(sk_c9) = multiply(multiply(sk_c10,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f935,f372]) ).

fof(f962,plain,
    ( inverse(sk_c9) = multiply(sk_c10,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f935,f370]) ).

fof(f1474,plain,
    ( sk_c9 = multiply(sk_c2,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f964,f50]) ).

fof(f964,plain,
    ( inverse(sk_c10) = multiply(sk_c2,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f935,f56]) ).

fof(f968,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c9,inverse(multiply(X0,sk_c2)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f935,f373]) ).

fof(f977,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c9,inverse(multiply(X0,sk_c2)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f373,f935]) ).

fof(f978,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c2)) = multiply(sk_c10,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f935]) ).

fof(f1105,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1069,f1020]) ).

fof(f1069,plain,
    ( ! [X0] : sk_c2 = multiply(multiply(sk_c9,X0),inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f373]) ).

fof(f1075,plain,
    ( sk_c10 = multiply(sk_c10,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f383]) ).

fof(f1076,plain,
    ( sk_c9 = multiply(sk_c2,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f374]) ).

fof(f1094,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c10) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1020,f54]) ).

fof(f1153,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c10),sk_c2) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f54]) ).

fof(f1190,plain,
    ( sk_c9 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1161,f1092]) ).

fof(f1161,plain,
    ( ! [X0] : sk_c2 = multiply(multiply(sk_c9,inverse(X0)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1092,f373]) ).

fof(f1201,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c10,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f939,f54]) ).

fof(f1218,plain,
    ( ! [X0] : multiply(sk_c9,inverse(multiply(inverse(X0),sk_c2))) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f939,f373]) ).

fof(f1229,plain,
    ( ! [X0] : multiply(sk_c9,inverse(multiply(inverse(X0),sk_c2))) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f373,f939]) ).

fof(f1230,plain,
    ( ! [X0] : multiply(sk_c10,X0) = inverse(multiply(inverse(X0),sk_c2))
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f939]) ).

fof(f1306,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c9,X0)),sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f373]) ).

fof(f1352,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1313,f2]) ).

fof(f1313,plain,
    ( inverse(identity) = multiply(inverse(sk_c10),sk_c10)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f383]) ).

fof(f1463,plain,
    ( multiply(sk_c10,sk_c9) = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1314,f54]) ).

fof(f1314,plain,
    ( inverse(identity) = multiply(inverse(sk_c2),sk_c9)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f374]) ).

fof(f1461,plain,
    ( sk_c9 = multiply(inverse(identity),sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1326,f50]) ).

fof(f1326,plain,
    ( inverse(sk_c10) = multiply(inverse(identity),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f1024,f370]) ).

fof(f1460,plain,
    ( sk_c10 = multiply(inverse(identity),sk_c10)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1328,f54]) ).

fof(f1328,plain,
    ( inverse(sk_c2) = multiply(inverse(identity),sk_c10)
    | ~ spl0_2 ),
    inference(superposition,[],[f1024,f56]) ).

fof(f1395,plain,
    ( ! [X0] : sk_c2 = multiply(inverse(multiply(X0,sk_c10)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f1259,f54]) ).

fof(f1406,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c9,inverse(X0))),sk_c2) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1259,f373]) ).

fof(f383,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f370]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f373]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f372,f86]) ).

fof(f378,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f377,f1]) ).

fof(f377,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c9,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f374]) ).

fof(f374,plain,
    ( sk_c2 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f372,f56]) ).

fof(f86,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f76,f1]) ).

fof(f76,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f56]) ).

fof(f56,plain,
    ( identity = multiply(sk_c10,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f54]) ).

fof(f54,plain,
    ( sk_c10 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f2566,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2565]) ).

fof(f2565,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2564,f898]) ).

fof(f2564,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2563,f1587]) ).

fof(f2563,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2562,f632]) ).

fof(f2562,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2561,f1]) ).

fof(f2561,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2531,f1587]) ).

fof(f2531,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f373]) ).

fof(f1453,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f2560,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2558,f631]) ).

fof(f2558,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2535,f631]) ).

fof(f2535,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2530]) ).

fof(f2530,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f585]) ).

fof(f2550,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2549]) ).

fof(f2549,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2536,f631]) ).

fof(f2536,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2527]) ).

fof(f2527,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f2]) ).

fof(f2548,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f2547]) ).

fof(f2547,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2537,f898]) ).

fof(f2537,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2526]) ).

fof(f2526,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f1]) ).

fof(f2546,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2545]) ).

fof(f2545,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2544,f898]) ).

fof(f2544,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2543,f1587]) ).

fof(f2543,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2525,f1879]) ).

fof(f1879,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1874,f1]) ).

fof(f1874,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f374,f1587]) ).

fof(f2525,plain,
    ( identity != sk_c2
    | identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f374]) ).

fof(f2542,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2541]) ).

fof(f2541,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2540,f898]) ).

fof(f2540,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2539,f1889]) ).

fof(f1889,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1884,f898]) ).

fof(f1884,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f54,f1879]) ).

fof(f2539,plain,
    ( identity != inverse(sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2524,f1889]) ).

fof(f2524,plain,
    ( identity != sk_c10
    | identity != inverse(sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1453,f383]) ).

fof(f2511,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2510]) ).

fof(f2510,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f25,f35,f15,f1,f2,f5,f54,f56,f3,f86,f46,f34,f23,f20,f18,f16,f14,f33,f30,f28,f26,f24,f22,f21,f19,f17,f13,f10,f8,f6,f4,f32,f31,f29,f12,f11,f9,f7,f50,f370,f372,f374,f378,f373,f379,f383,f27,f83,f520,f517,f592,f585,f598,f610,f527,f620,f621,f623,f624,f617,f660,f641,f667,f631,f677,f678,f616,f731,f709,f618,f751,f761,f698,f793,f815,f910,f937,f940,f935,f948,f958,f971,f1063,f982,f985,f1020,f1072,f1082,f1097,f1098,f1099,f1100,f1092,f1165,f1168,f1169,f1170,f1171,f939,f1214,f1221,f1233,f1234,f1236,f1238,f1239,f1024,f1310,f1319,f1320,f1333,f1337,f1339,f1259,f1410,f1416,f1420,f1422,f1406,f1439,f1435,f1397,f1395,f1394,f1460,f1461,f1371,f1369,f1318,f1317,f1462,f1463,f1352,f1351,f1464,f1306,f1342,f1302,f1230,f1229,f1228,f1227,f1218,f1465,f1467,f1468,f1203,f1201,f1200,f1173,f1167,f1190,f1153,f1152,f1094,f1093,f1080,f1079,f1117,f1076,f1075,f1471,f1073,f1105,f978,f977,f976,f975,f968,f1474,f962,f960,f1475,f1476,f1479,f1480,f1482,f1483,f986,f1485,f1487,f1490,f917,f916,f915,f828,f911,f904,f903,f902,f817,f812,f883,f806,f805,f873,f1493,f1494,f787,f755,f752,f746,f736,f1496,f1497,f699,f693,f691,f1500,f648,f1501,f644,f642,f1502,f634,f612,f600,f597,f582,f1507,f1509,f1510,f528,f526,f521,f516,f43,f40,f38,f36,f42,f41,f39,f37,f632,f1532,f1533,f395,f1535,f1536,f1537,f1538,f1547,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f669,f1548,f1561,f1556,f1557,f1558,f1559,f898,f1513,f1589,f690,f1587,f1872,f1873,f1880,f1881,f1877,f1879,f1885,f1890,f1889,f2069,f981,f2172,f2179,f2192,f2203,f2211,f984,f2328,f2306,f2312,f2367,f2369,f2317,f2370,f2371,f2373,f2374,f2323,f2324,f2325,f1235,f2422,f2424,f2406,f2465,f2467,f2411,f2468,f2470,f2471,f2473,f2474,f2418,f2419,f2420,f2482,f2485,f2490,f2494,f2500,f2502,f2504,f2506,f2508,f2509]) ).

fof(f2509,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f2508,f617]) ).

fof(f2508,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2507,f1587]) ).

fof(f2507,plain,
    ( sk_c9 != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1582,f1889]) ).

fof(f2506,plain,
    ( identity = multiply(sk_c8,identity)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2505,f1587]) ).

fof(f2505,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f39,f1889]) ).

fof(f2504,plain,
    ( identity = multiply(sk_c8,identity)
    | inverse(sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2503,f1587]) ).

fof(f2503,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | inverse(sk_c6) = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f41,f1889]) ).

fof(f2502,plain,
    ( identity = multiply(sk_c8,identity)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2501,f1587]) ).

fof(f2501,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f42,f1889]) ).

fof(f2500,plain,
    ( identity = sk_c8
    | identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2499,f1889]) ).

fof(f2499,plain,
    ( sk_c10 = sk_c8
    | identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2498,f1589]) ).

fof(f2498,plain,
    ( sk_c3 = sk_c8
    | identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2497,f617]) ).

fof(f2497,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2496,f1587]) ).

fof(f2496,plain,
    ( identity = multiply(sk_c8,identity)
    | multiply(sk_c3,sk_c9) = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2495,f1587]) ).

fof(f2495,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | multiply(sk_c3,sk_c9) = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f36,f1889]) ).

fof(f2494,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2493,f1889]) ).

fof(f2493,plain,
    ( identity = sk_c8
    | sk_c10 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2492,f1587]) ).

fof(f2492,plain,
    ( sk_c9 = sk_c8
    | sk_c10 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2491,f617]) ).

fof(f2491,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | sk_c10 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f38,f1889]) ).

fof(f2490,plain,
    ( identity = multiply(sk_c7,identity)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2489,f1889]) ).

fof(f2489,plain,
    ( sk_c10 = multiply(sk_c7,identity)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2488,f1587]) ).

fof(f2488,plain,
    ( identity = sk_c8
    | sk_c10 = multiply(sk_c7,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2487,f1587]) ).

fof(f2487,plain,
    ( sk_c9 = sk_c8
    | sk_c10 = multiply(sk_c7,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2486,f617]) ).

fof(f2486,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | sk_c10 = multiply(sk_c7,sk_c9)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f40,f1889]) ).

fof(f2485,plain,
    ( identity = sk_c8
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2484,f1587]) ).

fof(f2484,plain,
    ( sk_c9 = sk_c8
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2483,f617]) ).

fof(f2483,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f43,f1889]) ).

fof(f2482,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | identity != sk_c8
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2481,f1587]) ).

fof(f2481,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | identity != sk_c8
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2480,f1587]) ).

fof(f2480,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | identity != sk_c8
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2479,f1587]) ).

fof(f2479,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5)
        | identity != sk_c8
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2478,f1587]) ).

fof(f2478,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X5)
        | identity != sk_c8
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2477,f1587]) ).

fof(f2477,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c8
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2163,f1587]) ).

fof(f2163,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != sk_c8
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1510,f1889]) ).

fof(f2069,plain,
    ( identity = sk_c3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2068,f616]) ).

fof(f2068,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(X0))
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2067,f1]) ).

fof(f2067,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(identity,X0)))
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1543,f1587]) ).

fof(f1890,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1886,f1]) ).

fof(f1886,plain,
    ( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f86,f1879]) ).

fof(f1885,plain,
    ( identity = multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f56,f1879]) ).

fof(f1877,plain,
    ( identity = multiply(sk_c10,identity)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f690,f1587]) ).

fof(f1881,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1876,f898]) ).

fof(f1876,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f669,f1587]) ).

fof(f1880,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1875,f1]) ).

fof(f1875,plain,
    ( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f379,f1587]) ).

fof(f1873,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c10,X0)) = X0
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f372,f1587]) ).

fof(f1872,plain,
    ( identity = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f370,f1587]) ).

fof(f1589,plain,
    ( sk_c10 = sk_c3
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1542,f669]) ).

fof(f1546,plain,
    ( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c9)),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f1259,f395]) ).

fof(f1545,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c9),sk_c3) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1092,f395]) ).

fof(f1544,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c9) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f1020,f395]) ).

fof(f1543,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_4 ),
    inference(superposition,[],[f939,f395]) ).

fof(f1542,plain,
    ( sk_c3 = inverse(sk_c9)
    | ~ spl0_4 ),
    inference(superposition,[],[f631,f395]) ).

fof(f1541,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f618,f395]) ).

fof(f1540,plain,
    ( identity = multiply(sk_c3,sk_c9)
    | ~ spl0_4 ),
    inference(superposition,[],[f616,f395]) ).

fof(f1547,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1539,f631]) ).

fof(f1539,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c3)
    | ~ spl0_4 ),
    inference(superposition,[],[f585,f395]) ).

fof(f1538,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f527,f395]) ).

fof(f1537,plain,
    ( sk_c3 = multiply(inverse(sk_c9),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f517,f395]) ).

fof(f1536,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f83,f395]) ).

fof(f1535,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f395]) ).

fof(f2476,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2170,f1585,f1581,f52,f48,f1455,f1452,f1452,f1452]) ).

fof(f2170,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2169,f1587]) ).

fof(f2169,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2168,f1587]) ).

fof(f2168,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2167,f1587]) ).

fof(f2167,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2166,f1587]) ).

fof(f2166,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X5)
        | inverse(X6) != X8
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2165,f1587]) ).

fof(f2165,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2164,f1587]) ).

fof(f2164,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c9
        | inverse(X6) != X8
        | sk_c9 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X4)
        | sk_c9 != multiply(X5,sk_c9)
        | sk_c9 != multiply(X3,identity)
        | sk_c9 != multiply(X4,identity)
        | identity != multiply(inverse(X6),sk_c9)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2163,f1882]) ).

fof(f1862,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1861]) ).

fof(f1861,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1860,f1586]) ).

fof(f1860,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f1859,f370]) ).

fof(f1859,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f1858,f632]) ).

fof(f1858,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1528,f1586]) ).

fof(f1528,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1527,f400]) ).

fof(f400,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f398,f374]) ).

fof(f398,plain,
    ( sk_c1 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f372,f397]) ).

fof(f397,plain,
    ( identity = multiply(sk_c10,sk_c1)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f391]) ).

fof(f1588,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1513,f52,f48,f1585,f1581]) ).

fof(f1457,plain,
    ( spl0_5
    | spl0_5
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f782,f393,f389,f52,f48,f1455,f1452,f1452,f1452]) ).

fof(f782,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( inverse(X6) != X8
        | identity != multiply(X5,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f687,f616]) ).

fof(f687,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( inverse(X6) != X8
        | identity != multiply(X5,identity)
        | identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f686,f631]) ).

fof(f686,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f567,f568]) ).

fof(f568,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f519,f2]) ).

fof(f519,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f83,f472]) ).

fof(f472,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f471,f1]) ).

fof(f471,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f3,f470]) ).

fof(f470,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f469,f411]) ).

fof(f411,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f407,f370]) ).

fof(f407,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f406,f373]) ).

fof(f406,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f405,f400]) ).

fof(f405,plain,
    ( sk_c9 = multiply(sk_c1,sk_c10)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f17,f394]) ).

fof(f394,plain,
    ( sk_c9 != inverse(sk_c3)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f469,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f468,f426]) ).

fof(f426,plain,
    ( identity = sk_c10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f425,f411]) ).

fof(f425,plain,
    ( sk_c10 = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f423,f1]) ).

fof(f423,plain,
    ( sk_c9 = multiply(identity,sk_c10)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f406,f418]) ).

fof(f418,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f414,f1]) ).

fof(f414,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f374,f411]) ).

fof(f468,plain,
    ( sk_c9 = multiply(sk_c8,sk_c10)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f37,f394]) ).

fof(f567,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f566,f426]) ).

fof(f566,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f565,f426]) ).

fof(f565,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c10 != multiply(inverse(X6),identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f564,f411]) ).

fof(f564,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f563,f411]) ).

fof(f563,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f562,f426]) ).

fof(f562,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f561,f411]) ).

fof(f561,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c9 != multiply(X3,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f560,f426]) ).

fof(f560,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f559,f426]) ).

fof(f559,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != sk_c10
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f558,f411]) ).

fof(f558,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c10 != sk_c9
        | sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f557,f472]) ).

fof(f557,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f556,f411]) ).

fof(f556,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f555,f426]) ).

fof(f555,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c10 != inverse(X4)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f554,f426]) ).

fof(f554,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X5)
        | sk_c10 != inverse(X3)
        | sk_c10 != inverse(X4)
        | inverse(X6) != inverse(inverse(X8))
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c9 != multiply(sk_c8,sk_c10)
        | sk_c9 != multiply(X3,sk_c10)
        | sk_c9 != multiply(X4,sk_c10)
        | sk_c10 != multiply(inverse(X6),sk_c9)
        | sk_c10 != multiply(X6,inverse(X6))
        | inverse(X8) != multiply(X8,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f553,f411]) ).

fof(f396,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f27,f393,f389]) ).

fof(f348,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f346,f169]) ).

fof(f169,plain,
    ( sk_c10 = sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f149,f91]) ).

fof(f91,plain,
    ( sk_c10 = multiply(sk_c10,sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f86,f65]) ).

fof(f65,plain,
    ( sk_c9 = multiply(sk_c2,sk_c10)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f49]) ).

fof(f49,plain,
    ( inverse(sk_c10) != sk_c9
    | spl0_1 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f149,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f148,f116]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f89,f107]) ).

fof(f107,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f90,f89]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f82,f1]) ).

fof(f82,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f64]) ).

fof(f64,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f63]) ).

fof(f63,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f49]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f81,f1]) ).

fof(f81,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f62]) ).

fof(f62,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f61]) ).

fof(f61,plain,
    ( inverse(sk_c6) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f49]) ).

fof(f148,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( sk_c10 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f116,f99]) ).

fof(f99,plain,
    ( sk_c7 = multiply(sk_c7,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f88,f67]) ).

fof(f67,plain,
    ( sk_c10 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f49]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f78,f1]) ).

fof(f78,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f60]) ).

fof(f60,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f59]) ).

fof(f59,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f49]) ).

fof(f346,plain,
    ( sk_c10 != sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f334,f188]) ).

fof(f188,plain,
    ( sk_c10 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f170]) ).

fof(f170,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f149,f56]) ).

fof(f334,plain,
    ( sk_c9 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f313]) ).

fof(f313,plain,
    ( identity = sk_c10
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f304,f149]) ).

fof(f304,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f165,f256]) ).

fof(f256,plain,
    ( sk_c10 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f246,f149]) ).

fof(f246,plain,
    ( sk_c4 = multiply(sk_c10,sk_c10)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f207,f228]) ).

fof(f228,plain,
    ( sk_c10 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f212,f99]) ).

fof(f212,plain,
    ( sk_c10 = multiply(sk_c7,sk_c10)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f88,f209]) ).

fof(f209,plain,
    ( sk_c10 = multiply(sk_c4,sk_c10)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f164,f169]) ).

fof(f164,plain,
    ( sk_c9 = multiply(sk_c4,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f141,f155]) ).

fof(f155,plain,
    ( sk_c4 = sk_c5
    | spl0_1 ),
    inference(forward_demodulation,[],[f144,f142]) ).

fof(f142,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | spl0_1 ),
    inference(superposition,[],[f116,f60]) ).

fof(f144,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | spl0_1 ),
    inference(superposition,[],[f116,f64]) ).

fof(f141,plain,
    ( sk_c9 = multiply(sk_c5,sk_c10)
    | spl0_1 ),
    inference(superposition,[],[f116,f68]) ).

fof(f68,plain,
    ( sk_c10 = multiply(sk_c7,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f49]) ).

fof(f207,plain,
    ( sk_c4 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f88,f161]) ).

fof(f161,plain,
    ( sk_c7 = multiply(sk_c4,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f103,f155]) ).

fof(f103,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f89,f69]) ).

fof(f69,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f49]) ).

fof(f165,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | spl0_1 ),
    inference(superposition,[],[f142,f155]) ).

fof(f55,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f52,f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP375-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38  % Computer : n015.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Sun May 19 05:25:23 EDT 2024
% 0.14/0.39  % CPUTime    : 
% 0.14/0.39  % (8437)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.40  % (8440)WARNING: value z3 for option sas not known
% 0.24/0.41  % (8438)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.24/0.41  % (8439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.24/0.41  % (8441)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.24/0.41  % (8442)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)
% 0.24/0.41  % (8440)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)
% 0.24/0.41  % (8443)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)
% 0.24/0.41  % (8444)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)
% 0.24/0.41  TRYING [1]
% 0.24/0.41  TRYING [2]
% 0.24/0.42  TRYING [1]
% 0.24/0.42  TRYING [3]
% 0.24/0.42  TRYING [2]
% 0.24/0.42  TRYING [4]
% 0.24/0.43  TRYING [3]
% 0.24/0.44  TRYING [5]
% 0.24/0.45  TRYING [4]
% 0.24/0.49  % (8440)First to succeed.
% 0.24/0.49  TRYING [6]
% 0.24/0.50  % (8440)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8437"
% 0.24/0.50  % (8440)Refutation found. Thanks to Tanya!
% 0.24/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.51  % (8440)------------------------------
% 0.24/0.51  % (8440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.51  % (8440)Termination reason: Refutation
% 0.24/0.51  
% 0.24/0.51  % (8440)Memory used [KB]: 1924
% 0.24/0.51  % (8440)Time elapsed: 0.096 s
% 0.24/0.51  % (8440)Instructions burned: 175 (million)
% 0.24/0.51  % (8437)Success in time 0.112 s
%------------------------------------------------------------------------------