%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP262-1 : 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 : n020.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 21:19:16 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f2431,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f116,f121,f237,f240,f242,f265,f293,f302,f409,f469,f475,f480,f484,f493,f500,f504,f509,f513,f519,f522,f525,f527,f530,f533,f535,f537,f576,f605,f631,f662,f684,f686,f730,f732,f734,f739,f741,f743,f745,f747,f749,f753,f813,f898,f910,f950,f987,f990,f995,f997,f999,f1005,f1007,f1009,f1011,f1015,f1017,f1019,f1021,f1023,f1025,f1027,f1029,f1031,f1033,f1035,f1037,f1039,f1041,f1043,f1045,f1047,f1049,f1051,f1053,f1055,f1057,f1059,f1061,f1076,f1079,f1081,f1084,f1086,f1088,f1090,f1092,f1094,f1096,f1098,f1100,f1102,f1104,f1107,f1109,f1111,f1113,f1115,f1117,f1119,f1121,f1123,f1125,f1127,f1129,f1131,f1133,f1135,f1137,f1139,f1141,f1143,f1145,f1147,f1149,f1151,f1153,f1155,f1157,f1159,f1161,f1163,f1165,f1167,f1169,f1171,f1173,f1175,f1177,f1179,f1266,f1273,f1279,f1290,f1349,f1352,f1356,f1361,f1366,f1371,f1373,f1376,f1378,f1382,f1385,f1399,f1433,f1447,f1449,f1451,f1453,f1455,f1457,f1459,f1461,f1463,f1467,f1470,f1472,f1474,f1476,f1478,f1480,f1482,f1484,f1486,f1489,f1492,f1494,f1496,f1499,f1501,f1503,f1505,f1507,f1509,f1512,f1573,f1675,f1683,f1689,f1694,f1696,f1699,f1701,f1703,f1705,f1707,f1709,f1711,f1713,f1715,f1717,f1719,f1721,f1759,f1779,f1874,f1918,f1920,f1922,f1924,f1926,f1928,f1930,f1932,f1956,f1958,f2019,f2021,f2023,f2025,f2027,f2029,f2031,f2034,f2036,f2038,f2041,f2042,f2043,f2044,f2045,f2046,f2157,f2160,f2163,f2226,f2228,f2244,f2248,f2250,f2255,f2259,f2263,f2266,f2269,f2271,f2274,f2277,f2280,f2283,f2286,f2288,f2291,f2295,f2298,f2370,f2372,f2375,f2378,f2382,f2385,f2387,f2390,f2392,f2394,f2396,f2398,f2400,f2402,f2404,f2406,f2408,f2410,f2413,f2416,f2420,f2424,f2427,f2430]) ).

fof(f2430,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2428,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f36,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2131,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f53,f53]) ).

fof(f2118,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f53,f3]) ).

fof(f2117,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f53,f2]) ).

fof(f2116,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f53,f1]) ).

fof(f53,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f18,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f1777,plain,
    ( sk_c5 != multiply(sk_c2,sk_c6)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f1776,plain,
    ( spl0_20
  <=> sk_c5 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f29,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c6 != inverse(X6)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(sk_c5,sk_c7)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c6,sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

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

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

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f16,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

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

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

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c1)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f13,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f735,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f36]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

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

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

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

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

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

fof(f2428,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f260,f300]) ).

fof(f300,plain,
    ( identity = sk_c6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl0_13
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f260,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl0_8
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2427,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2426]) ).

fof(f2426,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2425,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2425,plain,
    ( sk_c5 != multiply(sk_c2,identity)
    | ~ spl0_13
    | spl0_20 ),
    inference(forward_demodulation,[],[f1777,f300]) ).

fof(f2424,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2422,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2422,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2421,f300]) ).

fof(f2421,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f18,f300]) ).

fof(f2420,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2418,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2418,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c5 = multiply(sk_c2,identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2417,f300]) ).

fof(f2417,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f16,f300]) ).

fof(f2416,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2415]) ).

fof(f2415,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_19
    | spl0_20 ),
    inference(global_subsumption,[],[f2414,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2414,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1986,f300]) ).

fof(f1986,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1983,f1774]) ).

fof(f1774,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f1772]) ).

fof(f1772,plain,
    ( spl0_19
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1983,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(superposition,[],[f1936,f611]) ).

fof(f611,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f254,f571]) ).

fof(f571,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_14
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f253,f1]) ).

fof(f253,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f251]) ).

fof(f251,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f33,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1936,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl0_19 ),
    inference(superposition,[],[f3,f1774]) ).

fof(f2413,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2412,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2411,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2411,plain,
    ( sk_c5 = multiply(sk_c2,identity)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f15,f300]) ).

fof(f2410,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2409]) ).

fof(f2409,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2261,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2261,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | identity = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2260,f300]) ).

fof(f2260,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f23,f300]) ).

fof(f2408,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2407]) ).

fof(f2407,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2302,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2302,plain,
    ( sk_c7 = sk_c5
    | identity = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2301,f1]) ).

fof(f2301,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2300,f300]) ).

fof(f2300,plain,
    ( identity = inverse(sk_c2)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f19,f300]) ).

fof(f2406,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2405]) ).

fof(f2405,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2312,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2312,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2311,f1]) ).

fof(f2311,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(identity,sk_c7)
        | identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2310,f300]) ).

fof(f2310,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,sk_c7)
        | identity != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2309,f300]) ).

fof(f2309,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2308,f300]) ).

fof(f2308,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2307,f300]) ).

fof(f2307,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X4,identity)
        | identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2306,f300]) ).

fof(f2306,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2305,f300]) ).

fof(f2305,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1763,f300]) ).

fof(f1763,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f13,f9,f11,f1516,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f1527,f4,f1530,f26,f1531,f1532,f102,f1538,f14,f18,f27,f17,f28,f1761,f24,f1762,f29]) ).

fof(f1762,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f13,f9,f11,f1516,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f1527,f4,f1530,f26,f1531,f1532,f102,f1538,f14,f18,f29,f27,f17,f28,f1761,f24]) ).

fof(f1761,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f13,f9,f11,f1516,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f1527,f4,f1530,f26,f1531,f1532,f102,f1538,f14,f18,f29,f24,f27,f17,f28]) ).

fof(f1538,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f102]) ).

fof(f102,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_3
  <=> sk_c6 = multiply(sk_c5,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1532,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f102,f13,f9,f11,f28,f1516,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f1527,f14,f17,f4,f27,f1530,f26,f1531,f24]) ).

fof(f1531,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f102,f24,f13,f9,f11,f28,f1516,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f1527,f14,f17,f4,f27,f1530,f26]) ).

fof(f1530,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f102,f26,f24,f13,f9,f11,f28,f1516,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f1527,f14,f17,f4,f27]) ).

fof(f1527,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f12,f14,f102,f17,f4,f27,f26,f24,f13,f9,f11,f28,f1516,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25]) ).

fof(f1516,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f246,f247,f248,f249,f250,f22,f252,f6,f20,f21,f5,f7,f12,f19,f23,f18,f29,f16,f15,f25,f14,f102,f17,f4,f8,f27,f26,f24,f13,f9,f11,f28]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f102]) ).

fof(f250,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f20,f12,f15,f11,f13,f25,f5,f9,f22,f17,f21,f23,f7,f19,f1,f2,f10,f3,f53,f102,f29,f246,f28,f247,f26,f248,f24,f249,f18,f16,f14,f8,f6,f4,f27]) ).

fof(f249,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f20,f12,f15,f11,f13,f25,f5,f9,f22,f17,f21,f23,f27,f7,f19,f16,f18,f14,f6,f8,f4,f1,f2,f10,f3,f53,f102,f29,f246,f28,f247,f26,f248,f24]) ).

fof(f248,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f20,f12,f15,f11,f13,f25,f5,f9,f22,f17,f21,f23,f27,f7,f19,f16,f18,f14,f6,f8,f24,f4,f1,f2,f10,f3,f53,f102,f29,f246,f28,f247,f26]) ).

fof(f247,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f20,f12,f15,f11,f13,f25,f5,f9,f22,f17,f21,f23,f27,f7,f19,f16,f18,f14,f26,f6,f8,f24,f4,f1,f2,f10,f3,f53,f102,f29,f246,f28]) ).

fof(f246,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f20,f12,f15,f11,f13,f25,f5,f9,f22,f17,f21,f23,f27,f7,f19,f16,f18,f14,f26,f6,f28,f8,f24,f4,f1,f2,f10,f3,f53,f102,f29]) ).

fof(f2404,plain,
    ( spl0_2
    | ~ spl0_13
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2403]) ).

fof(f2403,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | ~ spl0_19
    | spl0_20 ),
    inference(global_subsumption,[],[f2326,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2326,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f2325,f1]) ).

fof(f2325,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1774,f300]) ).

fof(f2402,plain,
    ( spl0_2
    | ~ spl0_13
    | ~ spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | ~ spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f2292,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2292,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f575,f300]) ).

fof(f575,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_15
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2400,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2399]) ).

fof(f2399,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2379,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2379,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f20,f300]) ).

fof(f2398,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2397]) ).

fof(f2397,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2252,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2252,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2251,f300]) ).

fof(f2251,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f21,f300]) ).

fof(f2396,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_13
    | spl0_20 ),
    inference(global_subsumption,[],[f2388,f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2388,plain,
    ( identity != inverse(identity)
    | spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f288,f300]) ).

fof(f288,plain,
    ( sk_c6 != inverse(identity)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_10
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2394,plain,
    ( spl0_2
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | spl0_2
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f735,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1777,f18,f53,f2116,f2117,f2118,f2131,f36]) ).

fof(f2392,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f735,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2261,f2299,f2302,f2303,f2296,f2380,f2383,f2363,f36]) ).

fof(f2363,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2299,f2303]) ).

fof(f2383,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2252,f2296]) ).

fof(f2380,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2379,f2296]) ).

fof(f2296,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f259,f300]) ).

fof(f2303,plain,
    ( sk_c7 = sk_c5
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2296,f2261,f2299,f2302]) ).

fof(f2299,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2296,f2261]) ).

fof(f259,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f2390,plain,
    ( spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f2388,f1,f2,f10,f3,f22,f6,f735,f259,f12,f36,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2261,f2299,f2302,f2303,f2296,f2380,f2383,f2363]) ).

fof(f2387,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2386,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f735,f259,f12,f36,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2261,f2299,f2302,f2303,f2296,f2380,f2383,f2363]) ).

fof(f2385,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f735,f259,f12,f36,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2261,f2299,f2302,f2303,f2296,f2380,f2383]) ).

fof(f2382,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2381,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f22,f6,f735,f259,f12,f36,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131,f300,f2261,f2299,f2302,f2303,f2296,f2380]) ).

fof(f2378,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2292,f1,f2,f10,f3,f22,f6,f735,f259,f12,f36,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f53,f2116,f2117,f2118,f2131]) ).

fof(f2375,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2374,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(subsumption_resolution,[],[f2373,f2173]) ).

fof(f2173,plain,
    ( identity != sk_c7
    | ~ spl0_13
    | spl0_17 ),
    inference(superposition,[],[f630,f300]) ).

fof(f630,plain,
    ( sk_c7 != sk_c6
    | spl0_17 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f628,plain,
    ( spl0_17
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2373,plain,
    ( identity = sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2367,f2]) ).

fof(f2367,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f53,f2364]) ).

fof(f2364,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2363,f1553]) ).

fof(f1553,plain,
    ( identity = sk_c4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1550,f1536]) ).

fof(f1536,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f264]) ).

fof(f264,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_9
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1550,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1549,f1]) ).

fof(f1549,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f1537]) ).

fof(f1537,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f287]) ).

fof(f287,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f2372,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2371,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(subsumption_resolution,[],[f2366,f2173]) ).

fof(f2366,plain,
    ( identity = sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1,f2364]) ).

fof(f2370,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_17 ),
    inference(subsumption_resolution,[],[f2365,f2173]) ).

fof(f2365,plain,
    ( identity = sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f2364,f1]) ).

fof(f2298,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(global_subsumption,[],[f2296,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f1773,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_19 ),
    inference(avatar_component_clause,[],[f1772]) ).

fof(f2295,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2294]) ).

fof(f2294,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2293,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2293,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2292,f2167]) ).

fof(f2167,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2144,f53]) ).

fof(f2144,plain,
    ( sk_c3 = multiply(inverse(sk_c6),multiply(sk_c6,sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f53,f1977]) ).

fof(f1977,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1968,f1966]) ).

fof(f1966,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f1764,f1533]) ).

fof(f1533,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f1764,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f102]) ).

fof(f1968,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f1764,f1534]) ).

fof(f1534,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f2291,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2289,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2289,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f578,f300]) ).

fof(f578,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f56,f575]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f39]) ).

fof(f39,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f2288,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2287]) ).

fof(f2287,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f1848,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f1848,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1533,f1828]) ).

fof(f1828,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1827,f1]) ).

fof(f1827,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1826,f3]) ).

fof(f1826,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1817]) ).

fof(f1817,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1544,f1797]) ).

fof(f1797,plain,
    ( identity = multiply(sk_c3,multiply(sk_c1,identity))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1788,f1533]) ).

fof(f1788,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c3,multiply(sk_c1,identity))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1540,f1736]) ).

fof(f1736,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f1539,f1533]) ).

fof(f1539,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f571]) ).

fof(f1540,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f575]) ).

fof(f1544,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1543,f1]) ).

fof(f1543,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1534]) ).

fof(f2286,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2284,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2284,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1850,f300]) ).

fof(f1850,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f611,f1828]) ).

fof(f2283,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2282]) ).

fof(f2282,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2281,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2281,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1852,f2167]) ).

fof(f1852,plain,
    ( identity = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1534,f1828]) ).

fof(f2280,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2279,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2278,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2278,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1860,f2167]) ).

fof(f1860,plain,
    ( sk_c1 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1820,f1837]) ).

fof(f1837,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1828,f1533]) ).

fof(f1820,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1819,f1]) ).

fof(f1819,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c1,multiply(identity,X0)))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1818,f3]) ).

fof(f1818,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(multiply(sk_c1,identity),X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f1797]) ).

fof(f2277,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f1861,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f1861,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1542,f1837]) ).

fof(f1542,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1541,f1]) ).

fof(f1541,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1533]) ).

fof(f2274,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2273,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2272,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2272,plain,
    ( sk_c5 != multiply(sk_c1,identity)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(forward_demodulation,[],[f1783,f300]) ).

fof(f1783,plain,
    ( sk_c5 != multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(superposition,[],[f1773,f1737]) ).

fof(f1737,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1539,f578]) ).

fof(f2271,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2270]) ).

fof(f2270,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f1837,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2269,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2267,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2267,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1839,f300]) ).

fof(f1839,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1828,f611]) ).

fof(f2266,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2265]) ).

fof(f2265,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | spl0_19 ),
    inference(global_subsumption,[],[f2264,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2264,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1841,f2167]) ).

fof(f1841,plain,
    ( identity = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1828,f1534]) ).

fof(f2263,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(global_subsumption,[],[f2261,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2259,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2258]) ).

fof(f2258,plain,
    ( $false
    | spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(global_subsumption,[],[f2257,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2257,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_13
    | spl0_19 ),
    inference(forward_demodulation,[],[f2256,f300]) ).

fof(f2256,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_19 ),
    inference(subsumption_resolution,[],[f19,f1773]) ).

fof(f2255,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2254,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13
    | spl0_19 ),
    inference(global_subsumption,[],[f2253,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2253,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2252,f2167]) ).

fof(f2250,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2249]) ).

fof(f2249,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f2120,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2120,plain,
    ( identity = multiply(inverse(sk_c2),multiply(sk_c5,sk_c4))
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(superposition,[],[f53,f2066]) ).

fof(f2066,plain,
    ( multiply(sk_c5,sk_c4) = multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(superposition,[],[f2048,f1729]) ).

fof(f1729,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f264]) ).

fof(f2048,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_20 ),
    inference(superposition,[],[f3,f1778]) ).

fof(f1778,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f1776]) ).

fof(f2248,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2247]) ).

fof(f2247,plain,
    ( $false
    | spl0_8
    | ~ spl0_13
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f2246,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2246,plain,
    ( ! [X0] : multiply(inverse(sk_c2),multiply(sk_c5,X0)) = X0
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2245,f1]) ).

fof(f2245,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c2),multiply(sk_c5,X0))
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2129,f300]) ).

fof(f2129,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c2),multiply(sk_c5,X0))
    | ~ spl0_20 ),
    inference(superposition,[],[f53,f2048]) ).

fof(f2244,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2243]) ).

fof(f2243,plain,
    ( $false
    | spl0_8
    | ~ spl0_13
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f2242,f1,f2,f10,f3,f22,f6,f259,f12,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f18,f1773,f53,f2116,f2117,f2118,f2131]) ).

fof(f2242,plain,
    ( identity = multiply(inverse(sk_c2),sk_c5)
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2139,f300]) ).

fof(f2139,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c5)
    | ~ spl0_20 ),
    inference(superposition,[],[f53,f1778]) ).

fof(f2228,plain,
    ( ~ spl0_8
    | spl0_11
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2227]) ).

fof(f2227,plain,
    ( $false
    | ~ spl0_8
    | spl0_11
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f2213,f300]) ).

fof(f2213,plain,
    ( identity != sk_c6
    | ~ spl0_8
    | spl0_11
    | ~ spl0_20 ),
    inference(superposition,[],[f292,f2165]) ).

fof(f2165,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2140,f2]) ).

fof(f2140,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f53,f1780]) ).

fof(f1780,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f1546,f1778]) ).

fof(f1546,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1545,f1]) ).

fof(f1545,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1535]) ).

fof(f1535,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f260]) ).

fof(f292,plain,
    ( sk_c6 != sk_c5
    | spl0_11 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl0_11
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2226,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2225,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f2224,f630]) ).

fof(f2224,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2212,f1]) ).

fof(f2212,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f102,f2165]) ).

fof(f2163,plain,
    ( ~ spl0_1
    | spl0_13
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f2161,f301]) ).

fof(f301,plain,
    ( identity != sk_c6
    | spl0_13 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f2161,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2138,f2]) ).

fof(f2138,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(superposition,[],[f53,f2070]) ).

fof(f2070,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2063,f1778]) ).

fof(f2063,plain,
    ( multiply(sk_c2,sk_c6) = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(superposition,[],[f2048,f1743]) ).

fof(f1743,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1738,f571]) ).

fof(f1738,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f1539,f611]) ).

fof(f2160,plain,
    ( ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2159]) ).

fof(f2159,plain,
    ( $false
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2158,f301]) ).

fof(f2158,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2137,f2]) ).

fof(f2137,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f53,f1743]) ).

fof(f2157,plain,
    ( ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2156]) ).

fof(f2156,plain,
    ( $false
    | ~ spl0_1
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2155,f301]) ).

fof(f2155,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2136,f2]) ).

fof(f2136,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f53,f611]) ).

fof(f2046,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1196,f573,f1776]) ).

fof(f1196,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f8,f4,f27,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17]) ).

fof(f1195,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14]) ).

fof(f1194,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25]) ).

fof(f1193,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(global_subsumption,[],[f25,f1,f2,f10,f3,f53,f28,f26,f24,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15]) ).

fof(f1192,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f28,f26,f24,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16]) ).

fof(f1191,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f28,f26,f24,f16,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29]) ).

fof(f1190,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f16,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18]) ).

fof(f1189,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23]) ).

fof(f1188,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19]) ).

fof(f1187,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13]) ).

fof(f1186,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9]) ).

fof(f1184,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f1062,f1065,f1068,f1073,f574,f12,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11]) ).

fof(f1183,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f1062,f1065,f1068,f1073,f574,f12,f11,f20,f1180,f21,f1181,f5,f1182,f7]) ).

fof(f1182,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f1062,f1065,f1068,f1073,f574,f12,f11,f7,f20,f1180,f21,f1181,f5]) ).

fof(f1181,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f1062,f1065,f1068,f1073,f574,f12,f11,f7,f5,f20,f1180,f21]) ).

fof(f1180,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f1062,f1065,f1068,f1073,f574,f12,f11,f7,f5,f21,f20]) ).

fof(f574,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f1073,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f11,f9,f12,f22,f6,f574,f20,f1062,f21,f1065,f5,f1068,f7]) ).

fof(f1068,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f11,f9,f12,f22,f6,f574,f7,f20,f1062,f21,f1065,f5]) ).

fof(f1065,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f11,f9,f12,f22,f6,f574,f5,f7,f20,f1062,f21]) ).

fof(f1062,plain,
    ( sk_c6 = inverse(sk_c2)
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f6,f574,f5,f7,f20]) ).

fof(f2045,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1195,f573,f1776]) ).

fof(f2044,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1193,f573,f1776]) ).

fof(f2043,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1192,f573,f1776]) ).

fof(f2042,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1190,f573,f1776]) ).

fof(f2041,plain,
    ( spl0_20
    | spl0_15 ),
    inference(avatar_split_clause,[],[f655,f573,f1776]) ).

fof(f655,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(subsumption_resolution,[],[f16,f574]) ).

fof(f2038,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193,f1195,f1196,f2032,f18,f1777]) ).

fof(f2032,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_15 ),
    inference(subsumption_resolution,[],[f16,f574]) ).

fof(f1197,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f8,f27,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4]) ).

fof(f1198,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f27,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4,f1197,f8]) ).

fof(f1959,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1182,f1183,f1184,f12,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1073,f1068,f1065,f1062,f655,f574,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f4,f8]) ).

fof(f1202,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4,f1197,f8,f1198,f27,f1199,f28,f1200,f26,f1201,f24]) ).

fof(f1201,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f24,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4,f1197,f8,f1198,f27,f1199,f28,f1200,f26]) ).

fof(f1200,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f26,f24,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4,f1197,f8,f1198,f27,f1199,f28]) ).

fof(f1199,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_15 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f28,f26,f24,f22,f6,f1062,f1065,f1068,f1073,f574,f20,f1180,f21,f1181,f5,f1182,f7,f1183,f11,f1184,f12,f9,f1186,f13,f1187,f19,f1188,f23,f1189,f18,f1190,f29,f1191,f16,f1192,f15,f1193,f25,f1194,f14,f1195,f17,f1196,f4,f1197,f8,f1198,f27]) ).

fof(f2036,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193,f1195,f1196,f2032,f18]) ).

fof(f2034,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193,f1195,f1196,f2032]) ).

fof(f2031,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2030]) ).

fof(f2030,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193,f1195,f1196]) ).

fof(f2029,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2028]) ).

fof(f2028,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1196,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193,f1195]) ).

fof(f2027,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2026]) ).

fof(f2026,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1194,f1195,f1196,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192,f1193]) ).

fof(f2025,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2024]) ).

fof(f2024,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1193,f1194,f1195,f1196,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190,f1192]) ).

fof(f2023,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1191,f1192,f1193,f1194,f1195,f1196,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655,f1190]) ).

fof(f2021,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2020]) ).

fof(f2020,plain,
    ( $false
    | spl0_15
    | spl0_20 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f1180,f1181,f1184,f12,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1199,f1200,f1201,f1202,f1065,f1062,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f1777,f4,f8,f1959,f1198,f1197,f1183,f1182,f1073,f1068,f574,f655]) ).

fof(f2019,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

fof(f2018,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f2017,f292]) ).

fof(f2017,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f2015,f1743]) ).

fof(f2015,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(superposition,[],[f1546,f2008]) ).

fof(f2008,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_3
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1999,f102]) ).

fof(f1999,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c2,sk_c5)
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(superposition,[],[f1939,f1774]) ).

fof(f1939,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_20 ),
    inference(superposition,[],[f3,f1778]) ).

fof(f1958,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1953,f292]) ).

fof(f1953,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_9
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1942,f1949]) ).

fof(f1949,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_9
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1947,f1882]) ).

fof(f1882,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1878,f578]) ).

fof(f1878,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1540,f1774]) ).

fof(f1947,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c6)
    | ~ spl0_9
    | spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f1540,f1940]) ).

fof(f1940,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_9
    | spl0_14 ),
    inference(superposition,[],[f1733,f1933]) ).

fof(f1933,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_14 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f4,f570,f8]) ).

fof(f570,plain,
    ( multiply(sk_c1,sk_c7) != sk_c6
    | spl0_14 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f1002,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_14 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f5]) ).

fof(f1733,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1732,f1]) ).

fof(f1732,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1729]) ).

fof(f1942,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1544,f1882]) ).

fof(f1956,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1952,f292]) ).

fof(f1952,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_9
    | spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1949,f1942]) ).

fof(f1932,plain,
    ( spl0_14
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1931]) ).

fof(f1931,plain,
    ( $false
    | spl0_14
    | spl0_19 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f4,f8,f1773,f570]) ).

fof(f1930,plain,
    ( spl0_14
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1929]) ).

fof(f1929,plain,
    ( $false
    | spl0_14
    | spl0_19 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f18,f4,f8,f1773]) ).

fof(f1928,plain,
    ( spl0_14
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1927]) ).

fof(f1927,plain,
    ( $false
    | spl0_14
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f1778,f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1773,f18,f4,f8]) ).

fof(f1926,plain,
    ( ~ spl0_8
    | spl0_14
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | ~ spl0_8
    | spl0_14
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f1780,f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1773,f18,f4,f8]) ).

fof(f1924,plain,
    ( ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1923]) ).

fof(f1923,plain,
    ( $false
    | ~ spl0_8
    | spl0_14
    | ~ spl0_15
    | spl0_19
    | ~ spl0_20 ),
    inference(global_subsumption,[],[f1800,f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1773,f18,f4,f8]) ).

fof(f1800,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1791,f575]) ).

fof(f1791,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c5)
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(superposition,[],[f1540,f1780]) ).

fof(f1922,plain,
    ( spl0_14
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | spl0_14
    | spl0_19 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1773,f18,f4,f8]) ).

fof(f1920,plain,
    ( spl0_14
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | spl0_14
    | spl0_19 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f570,f12,f1002,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f26,f27,f17,f28,f24,f29,f14,f1773,f18,f4]) ).

fof(f1918,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f1917]) ).

fof(f1917,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1914,f288]) ).

fof(f1914,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f264,f1898]) ).

fof(f1898,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1891,f1729]) ).

fof(f1891,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1890,f1820]) ).

fof(f1890,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1889,f1828]) ).

fof(f1889,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f3,f1887]) ).

fof(f1887,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1882,f1880]) ).

fof(f1880,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1876,f1839]) ).

fof(f1876,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f1774,f1737]) ).

fof(f1874,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1872,f292]) ).

fof(f1872,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1870,f578]) ).

fof(f1870,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(superposition,[],[f1542,f1840]) ).

fof(f1840,plain,
    ( sk_c7 = multiply(sk_c1,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_20 ),
    inference(superposition,[],[f1828,f1800]) ).

fof(f1779,plain,
    ( spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f14,f1776,f1772]) ).

fof(f1759,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_9
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_9
    | spl0_11
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1757,f292]) ).

fof(f1757,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_3
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1755,f1743]) ).

fof(f1755,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f1733,f1723]) ).

fof(f1723,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f4,f26,f103,f17,f28,f27,f24,f29,f14,f1722,f18]) ).

fof(f1722,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_3 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f4,f26,f103,f17,f28,f27,f24,f29,f18,f14]) ).

fof(f103,plain,
    ( sk_c6 != multiply(sk_c5,sk_c7)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f1721,plain,
    ( spl0_3
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | spl0_3
    | spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f288,f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f4,f26,f103,f263,f17,f28,f27,f24,f29,f18,f14]) ).

fof(f263,plain,
    ( sk_c6 != inverse(sk_c4)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f277,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f275]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f271]) ).

fof(f275,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f17,f263]) ).

fof(f271,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f7,f263]) ).

fof(f1719,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1718]) ).

fof(f1718,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1546,f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f4,f26,f103,f263,f17,f28,f27,f24,f29,f18,f14]) ).

fof(f1717,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1716]) ).

fof(f1716,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f4,f26,f103,f263,f17,f28,f27,f24,f29,f18,f14]) ).

fof(f1715,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f16,f15,f25,f14,f4,f26,f103,f263,f17,f28,f27,f24,f29,f18]) ).

fof(f1713,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1712]) ).

fof(f1712,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f18,f16,f15,f25,f14,f4,f26,f103,f263,f17,f28,f27,f24,f29]) ).

fof(f1711,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f4,f26,f103,f263,f17,f28,f27,f24]) ).

fof(f1709,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f4,f26,f24,f103,f263,f17,f28,f27]) ).

fof(f1707,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f4,f27,f26,f24,f103,f263,f17,f28]) ).

fof(f1705,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f28,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f4,f27,f26,f24,f103,f263,f17]) ).

fof(f1703,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1702]) ).

fof(f1702,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f28,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f103,f263]) ).

fof(f1701,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1700]) ).

fof(f1700,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f271,f275,f273,f277,f6,f12,f13,f9,f11,f28,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f263,f103]) ).

fof(f1699,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1697,f578]) ).

fof(f1697,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f103,f1609]) ).

fof(f1609,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1608,f1550]) ).

fof(f1608,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1607,f292]) ).

fof(f1607,plain,
    ( sk_c6 = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1606,f1]) ).

fof(f1606,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f14,f1554]) ).

fof(f1554,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1550,f1535]) ).

fof(f1696,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f266,f268,f271,f275,f276,f278,f273,f277,f337,f344,f347,f352,f343,f357,f354,f362,f364,f6,f12,f292,f13,f9,f11,f28,f8,f23,f1518,f19,f1519,f21,f20,f1521,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f260,f287,f1535,f1546,f1537,f1550,f1557,f1554,f1609,f1671,f1692,f263]) ).

fof(f1692,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1691,f292]) ).

fof(f1691,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1690,f1]) ).

fof(f1690,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f17,f1554]) ).

fof(f1671,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1670,f1609]) ).

fof(f1670,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1669,f292]) ).

fof(f1669,plain,
    ( sk_c6 = sk_c5
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1668,f1]) ).

fof(f1668,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f1554]) ).

fof(f1557,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1535,f1550]) ).

fof(f1521,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f266,f268,f6,f5,f7,f12,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f13,f9,f11,f260,f28,f8,f23,f1518,f19,f1519,f21,f20]) ).

fof(f1519,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f266,f268,f6,f20,f21,f5,f7,f12,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f13,f9,f11,f260,f28,f8,f23,f1518,f19]) ).

fof(f1518,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f266,f268,f6,f20,f21,f5,f7,f12,f19,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f13,f9,f11,f260,f28,f8,f23]) ).

fof(f364,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,multiply(sk_c2,X0))) = X0
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f363,f1]) ).

fof(f363,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,multiply(sk_c2,X0)))
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f361,f3]) ).

fof(f361,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c5,sk_c2),X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f354]) ).

fof(f362,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c5,multiply(sk_c5,sk_c2))
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f360,f343]) ).

fof(f360,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c5,multiply(sk_c5,sk_c2))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f277,f354]) ).

fof(f354,plain,
    ( identity = multiply(sk_c6,multiply(sk_c5,sk_c2))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f268,f343]) ).

fof(f357,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f356,f1]) ).

fof(f356,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f355,f3]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(multiply(sk_c5,sk_c2),X0)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f343]) ).

fof(f343,plain,
    ( multiply(sk_c5,sk_c2) = multiply(sk_c2,identity)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f277,f266]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f347]) ).

fof(f347,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f340,f275]) ).

fof(f340,plain,
    ( multiply(sk_c2,sk_c6) = multiply(sk_c5,sk_c5)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f277,f276]) ).

fof(f344,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f268,f277]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f277,f268]) ).

fof(f278,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f276]) ).

fof(f276,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f268,f275]) ).

fof(f268,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f267,f1]) ).

fof(f267,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f266]) ).

fof(f266,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f260]) ).

fof(f1694,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1693]) ).

fof(f1693,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f263,f266,f268,f271,f275,f276,f278,f273,f277,f337,f344,f347,f352,f343,f357,f354,f362,f364,f6,f12,f292,f13,f9,f11,f28,f8,f23,f1518,f19,f1519,f21,f20,f1521,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24,f260,f287,f1535,f1546,f1537,f1550,f1557,f1554,f1609,f1671,f1692]) ).

fof(f1689,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1688,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1671,f1,f2,f10,f3,f53,f103,f22,f263,f271,f275,f273,f277,f6,f12,f13,f9,f11,f28,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24]) ).

fof(f1683,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1682]) ).

fof(f1682,plain,
    ( $false
    | ~ spl0_2
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f1681,f1,f2,f10,f3,f53,f103,f22,f263,f271,f275,f273,f277,f6,f12,f13,f9,f11,f28,f8,f23,f19,f21,f20,f5,f7,f18,f29,f16,f15,f25,f14,f17,f4,f27,f26,f24]) ).

fof(f1681,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1680,f1550]) ).

fof(f1680,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1679,f1609]) ).

fof(f1679,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1678,f1609]) ).

fof(f1678,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1677,f578]) ).

fof(f1677,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1676,f1609]) ).

fof(f1676,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f29,f1609]) ).

fof(f1675,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1673,f630]) ).

fof(f1673,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1672,f1]) ).

fof(f1672,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f1671,f1553]) ).

fof(f1573,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

fof(f1572,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1570,f33]) ).

fof(f1570,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1563]) ).

fof(f1563,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f115,f571]) ).

fof(f115,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_7
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1512,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f40,f184,f126,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f1416,f1422,f37,f172,f171,f32]) ).

fof(f32,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f171,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f166,f39]) ).

fof(f172,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f166,f127]) ).

fof(f1422,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1421,f1]) ).

fof(f1421,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1416]) ).

fof(f1416,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f1244,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1243,f1]) ).

fof(f1243,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1205]) ).

fof(f1205,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f126,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f43]) ).

fof(f122,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f85,f119]) ).

fof(f184,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f37,f171]) ).

fof(f40,plain,
    ( sk_c6 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f32]) ).

fof(f205,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f198,f126]) ).

fof(f198,plain,
    ( sk_c6 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f172]) ).

fof(f180,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f127,f166]) ).

fof(f179,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f166]) ).

fof(f175,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f166]) ).

fof(f167,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f166,f56]) ).

fof(f166,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f1]) ).

fof(f165,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f152]) ).

fof(f152,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f92,f127]) ).

fof(f163,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f129]) ).

fof(f129,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f126]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f154,f1]) ).

fof(f154,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f127]) ).

fof(f157,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f156,f127]) ).

fof(f156,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f155,f126]) ).

fof(f155,plain,
    ( multiply(sk_c6,sk_c4) = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f119]) ).

fof(f153,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f127]) ).

fof(f127,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f41,f126]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f148]) ).

fof(f148,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f126]) ).

fof(f132,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f126]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f126]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f136,f126]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f130,f119]) ).

fof(f130,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f126]) ).

fof(f125,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f119]) ).

fof(f124,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f119]) ).

fof(f123,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f69,f119]) ).

fof(f119,plain,
    ( sk_c6 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f85]) ).

fof(f118,plain,
    ( sk_c5 = multiply(sk_c3,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f88]) ).

fof(f61,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f29,f42]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,multiply(sk_c4,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f98,f1]) ).

fof(f98,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c7,multiply(sk_c4,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f97,f3]) ).

fof(f97,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c7,sk_c4),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f92]) ).

fof(f96,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c5,multiply(sk_c7,sk_c4))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f92]) ).

fof(f92,plain,
    ( identity = multiply(sk_c7,multiply(sk_c7,sk_c4))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f82]) ).

fof(f95,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f94,f1]) ).

fof(f94,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f93,f3]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c4),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f82]) ).

fof(f82,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
    | spl0_1 ),
    inference(superposition,[],[f49,f41]) ).

fof(f91,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f88]) ).

fof(f90,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f88]) ).

fof(f88,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f85]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f85]) ).

fof(f85,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f58]) ).

fof(f80,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f49,f42]) ).

fof(f83,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f49]) ).

fof(f81,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f49,f63]) ).

fof(f79,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f49,f48]) ).

fof(f78,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f49,f57]) ).

fof(f49,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f77,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f76,f1]) ).

fof(f76,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c6,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f75,f3]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(multiply(sk_c6,identity),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f69]) ).

fof(f69,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f39]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f71]) ).

fof(f71,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f68,f63]) ).

fof(f68,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f58]) ).

fof(f67,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f56]) ).

fof(f48,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f42]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f63]) ).

fof(f63,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f57,f44]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f58]) ).

fof(f58,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f43]) ).

fof(f50,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f44,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f32]) ).

fof(f43,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f32]) ).

fof(f42,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f32]) ).

fof(f41,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f1509,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1508]) ).

fof(f1508,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(subsumption_resolution,[],[f119,f292]) ).

fof(f1507,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1506]) ).

fof(f1506,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f1416,f1422,f37,f172,f171]) ).

fof(f1505,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f1416,f1422,f37,f172]) ).

fof(f1503,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1502]) ).

fof(f1502,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11 ),
    inference(global_subsumption,[],[f141,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f1416,f1422,f37]) ).

fof(f141,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f140,f126]) ).

fof(f140,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f102,f119]) ).

fof(f1501,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f1416,f1422,f37]) ).

fof(f1499,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1497,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1497,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f578,f629]) ).

fof(f629,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f1496,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1495,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1400,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1400,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f578,f629]) ).

fof(f1494,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1493]) ).

fof(f1493,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1440,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1440,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1439,f1,f2,f10,f3,f53,f22,f266,f268,f6,f690,f691,f816,f815,f851,f20,f21,f5,f7,f11,f12,f260,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f629,f1206,f1215,f1247,f1312,f1354,f1350,f1374,f1379,f1402,f1403,f1358,f1341,f1408,f1411]) ).

fof(f1411,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1410,f629]) ).

fof(f1410,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f8,f629]) ).

fof(f1408,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1303,f629]) ).

fof(f1303,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f4,f629]) ).

fof(f1341,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f5,f629]) ).

fof(f1358,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1357,f629]) ).

fof(f1357,plain,
    ( sk_c7 = inverse(sk_c2)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f19,f629]) ).

fof(f1403,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1362,f629]) ).

fof(f1362,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f23,f629]) ).

fof(f1402,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1332,f629]) ).

fof(f1332,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f18,f629]) ).

fof(f1379,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1305,f629]) ).

fof(f1305,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f14,f629]) ).

fof(f1374,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1316,f629]) ).

fof(f1316,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f16,f629]) ).

fof(f1350,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f20,f629]) ).

fof(f1354,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1353,f629]) ).

fof(f1353,plain,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f21,f629]) ).

fof(f1312,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f15,f629]) ).

fof(f1247,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1246,f1]) ).

fof(f1246,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f1215]) ).

fof(f1215,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f2,f1206]) ).

fof(f1206,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f260,f629]) ).

fof(f851,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f847,f1]) ).

fof(f847,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f815]) ).

fof(f815,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f266,f629]) ).

fof(f816,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f268,f629]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f268,f629]) ).

fof(f690,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f266,f629]) ).

fof(f1439,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1358,f1400]) ).

fof(f1492,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1491,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1490,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1490,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f115,f629]) ).

fof(f1489,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1488]) ).

fof(f1488,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1487,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1487,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f571,f629]) ).

fof(f1486,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1485]) ).

fof(f1485,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1219,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1219,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f571,f629]) ).

fof(f1484,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1341,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1482,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1481]) ).

fof(f1481,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1411,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1480,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1408,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1478,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1312,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1476,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1350,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1474,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1473,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1358,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1472,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1471]) ).

fof(f1471,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1329,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1329,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1328,f629]) ).

fof(f1328,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1327,f629]) ).

fof(f1327,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1326,f629]) ).

fof(f1326,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1325,f629]) ).

fof(f1325,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c6
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1324,f1218]) ).

fof(f1218,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f102,f629]) ).

fof(f1324,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1323,f629]) ).

fof(f1323,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1322,f629]) ).

fof(f1322,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1321,f629]) ).

fof(f1321,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c5 != multiply(X4,sk_c6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f29,f629]) ).

fof(f1470,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1468,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1468,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f13,f629]) ).

fof(f1467,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1466]) ).

fof(f1466,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1465,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f22,f6,f32,f40,f184,f126,f171,f172,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f292,f1205,f1244,f37,f1416,f1422]) ).

fof(f1465,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f9,f629]) ).

fof(f1463,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f1002,f36]) ).

fof(f1461,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | spl0_2
    | spl0_14 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1459,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1406,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1406,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1341,f1,f2,f10,f3,f53,f22,f6,f1002,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24]) ).

fof(f1457,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1435,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1435,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1408,f1415]) ).

fof(f1415,plain,
    ( sk_c7 != multiply(sk_c1,sk_c7)
    | spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f570,f629]) ).

fof(f1455,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1454]) ).

fof(f1454,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1329,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1453,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1358,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1451,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1450]) ).

fof(f1450,plain,
    ( $false
    | spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1350,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1449,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1448]) ).

fof(f1448,plain,
    ( $false
    | spl0_2
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1312,f1,f2,f10,f3,f53,f22,f6,f735,f570,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36,f1002]) ).

fof(f1447,plain,
    ( ~ spl0_2
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_2
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1443,f629]) ).

fof(f1443,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f292,f1436]) ).

fof(f1436,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | spl0_14
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1435,f1400]) ).

fof(f1433,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1428,f629]) ).

fof(f1428,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | spl0_8
    | spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f292,f1425]) ).

fof(f1425,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | spl0_8
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f1400,f1405]) ).

fof(f1405,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f629,f1383,f1312,f1387,f1354,f1350,f1393,f1374,f1379,f1402,f1403,f1404,f1358]) ).

fof(f1404,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f629,f1383,f1312,f1387,f1354,f1350,f1393,f1374,f1379,f1402,f1403]) ).

fof(f1393,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f22,f6,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f629,f1383,f1312,f1387,f1374,f1354,f1350]) ).

fof(f1387,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1312,f1,f2,f10,f3,f53,f22,f6,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24]) ).

fof(f1383,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f259,f629]) ).

fof(f1399,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1395,f629]) ).

fof(f1395,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f292,f1391]) ).

fof(f1391,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1,f2,f10,f3,f53,f251,f254,f22,f6,f615,f612,f633,f637,f634,f646,f762,f767,f763,f770,f773,f771,f782,f825,f833,f835,f571,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f611,f701,f629,f33,f1219,f1239,f1204,f1242,f1250,f1251,f708,f1253,f836,f1255,f838,f879,f1262,f1257,f1271,f1350,f1354,f1383,f1380,f1312,f1387,f1374,f1359]) ).

fof(f1359,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1358,f1250]) ).

fof(f1380,plain,
    ( sk_c7 = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1379,f1250]) ).

fof(f1271,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f33,f1257]) ).

fof(f1257,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f879,f1204]) ).

fof(f1262,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f1204,f879]) ).

fof(f879,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f254,f838]) ).

fof(f838,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f837,f1]) ).

fof(f837,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f708]) ).

fof(f1255,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1254,f1]) ).

fof(f1254,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f836]) ).

fof(f836,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f254,f708]) ).

fof(f1253,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1252,f1]) ).

fof(f1252,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f708]) ).

fof(f708,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f704,f251]) ).

fof(f704,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f634,f629]) ).

fof(f1251,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f1250]) ).

fof(f1250,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f611,f629]) ).

fof(f1242,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1241,f1]) ).

fof(f1241,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f1204]) ).

fof(f1204,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f1239,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f1219]) ).

fof(f701,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f611,f629]) ).

fof(f835,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f3,f701]) ).

fof(f833,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f828,f251]) ).

fof(f828,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f771,f629]) ).

fof(f825,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f611,f629]) ).

fof(f782,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f781,f1]) ).

fof(f781,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f780,f3]) ).

fof(f780,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f771]) ).

fof(f771,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f763,f251]) ).

fof(f773,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f254,f763]) ).

fof(f770,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f763,f254]) ).

fof(f763,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f571]) ).

fof(f767,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f611]) ).

fof(f762,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f254,f571]) ).

fof(f646,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f645,f1]) ).

fof(f645,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f644,f3]) ).

fof(f644,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f634]) ).

fof(f634,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f251]) ).

fof(f637,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f254,f612]) ).

fof(f633,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f612,f254]) ).

fof(f612,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f571]) ).

fof(f615,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f611]) ).

fof(f1385,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1384]) ).

fof(f1384,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1383,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1382,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1381]) ).

fof(f1381,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1380,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1378,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1312,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1376,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1374,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1373,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1372]) ).

fof(f1372,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1330,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1330,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != sk_c5
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X6,sk_c5)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c5 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1329,f1250]) ).

fof(f1371,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1369,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1369,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1368,f292]) ).

fof(f1368,plain,
    ( sk_c6 = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1367,f1]) ).

fof(f1367,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1332,f1259]) ).

fof(f1259,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f879,f1216]) ).

fof(f1216,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(superposition,[],[f2,f1207]) ).

fof(f1207,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f264,f629]) ).

fof(f1366,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1365]) ).

fof(f1365,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1364,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1364,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1363,f629]) ).

fof(f1363,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1362,f1259]) ).

fof(f1361,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1359,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1356,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1354,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1352,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1351]) ).

fof(f1351,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f1350,f1,f2,f10,f3,f53,f22,f6,f735,f259,f20,f21,f5,f7,f11,f12,f9,f13,f19,f23,f18,f29,f16,f15,f25,f14,f17,f4,f8,f27,f28,f26,f24,f36]) ).

fof(f1349,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1348]) ).

fof(f1348,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1345,f629]) ).

fof(f1345,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f292,f1310]) ).

fof(f1310,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f1309]) ).

fof(f1309,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1308,f1250]) ).

fof(f1308,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1307,f629]) ).

fof(f1307,plain,
    ( sk_c7 = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1306,f1]) ).

fof(f1306,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1305,f1260]) ).

fof(f1260,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f879,f1215]) ).

fof(f1290,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1289]) ).

fof(f1289,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1286,f629]) ).

fof(f1286,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f292,f1285]) ).

fof(f1285,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1283,f1]) ).

fof(f1283,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f1221,f1260]) ).

fof(f1221,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f655,f629]) ).

fof(f1279,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1278]) ).

fof(f1278,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1276,f1]) ).

fof(f1276,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f1220,f1258]) ).

fof(f1258,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f879,f1205]) ).

fof(f1220,plain,
    ( sk_c7 != multiply(sk_c3,sk_c7)
    | spl0_15
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f574,f629]) ).

fof(f1273,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1272]) ).

fof(f1272,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1271,f1217]) ).

fof(f1217,plain,
    ( sk_c7 != inverse(identity)
    | spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f288,f629]) ).

fof(f1266,plain,
    ( spl0_18
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1245,f628,f111,f948]) ).

fof(f948,plain,
    ( spl0_18
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f111,plain,
    ( spl0_6
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1245,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f112,f629]) ).

fof(f112,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f1179,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1178,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f575,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f949,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f1105,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f974]) ).

fof(f974,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f1]) ).

fof(f975,plain,
    ( identity != sk_c7
    | sk_c7 != inverse(inverse(sk_c7))
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f2]) ).

fof(f982,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f974]) ).

fof(f979,plain,
    ( ! [X0,X1] :
        ( sk_c7 != multiply(X0,multiply(X1,sk_c7))
        | sk_c7 != inverse(multiply(X0,X1)) )
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f3]) ).

fof(f1177,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f578,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f1175,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1174]) ).

fof(f1174,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f606,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f606,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f593,f575]) ).

fof(f593,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f579,f584]) ).

fof(f584,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f582,f517]) ).

fof(f517,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f516]) ).

fof(f516,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f494,f291]) ).

fof(f291,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f494,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f24,f291]) ).

fof(f582,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f546,f578]) ).

fof(f546,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f517]) ).

fof(f579,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f575]) ).

fof(f1173,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

fof(f1172,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f584,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f1171,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f608,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f608,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f607,f39]) ).

fof(f607,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f594,f579]) ).

fof(f594,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c3,multiply(sk_c6,identity))
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f579,f554]) ).

fof(f554,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f546,f39]) ).

fof(f1169,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1168,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f603,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f603,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f602,f575]) ).

fof(f602,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f592,f578]) ).

fof(f592,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f579,f517]) ).

fof(f1167,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1166,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f700,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f700,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f575,f629]) ).

fof(f1165,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1164]) ).

fof(f1164,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f629,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f1163,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1162,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_13
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f692,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f692,plain,
    ( identity != sk_c7
    | spl0_13
    | ~ spl0_17 ),
    inference(superposition,[],[f301,f629]) ).

fof(f1161,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f694,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f694,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_11
    | spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f418,f629]) ).

fof(f418,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f297,f291]) ).

fof(f297,plain,
    ( identity != inverse(inverse(sk_c5))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl0_12
  <=> identity = inverse(inverse(sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1159,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f988,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f988,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f970,f629]) ).

fof(f970,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f571]) ).

fof(f1157,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1156]) ).

fof(f1156,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105,f949]) ).

fof(f1155,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f970,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105]) ).

fof(f1153,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f972,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105]) ).

fof(f972,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c6)
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f517]) ).

fof(f1151,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1150]) ).

fof(f1150,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975,f1105]) ).

fof(f1149,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1148]) ).

fof(f1148,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982,f975]) ).

fof(f1147,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1146]) ).

fof(f1146,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f975,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20,f982]) ).

fof(f1145,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

fof(f1144,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21,f20]) ).

fof(f1143,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1142]) ).

fof(f1142,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1063,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21]) ).

fof(f1063,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c6 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f23,f291]) ).

fof(f1141,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5,f21]) ).

fof(f1139,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7,f5]) ).

fof(f1137,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1136]) ).

fof(f1136,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f665,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7]) ).

fof(f665,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f291]) ).

fof(f1135,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1013,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7]) ).

fof(f1013,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1012,f291]) ).

fof(f1012,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f18,f291]) ).

fof(f1133,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f523,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7]) ).

fof(f523,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f8,f291]) ).

fof(f1131,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1130]) ).

fof(f1130,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f32,f40,f184,f126,f171,f172,f12,f11,f7]) ).

fof(f1129,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1128]) ).

fof(f1128,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f1077,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f32,f40,f184,f126,f171,f172,f12,f11]) ).

fof(f1077,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f291]) ).

fof(f1127,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f32,f40,f184,f126,f171,f172,f12,f11]) ).

fof(f1125,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f32,f40,f184,f126,f171,f172,f12]) ).

fof(f1123,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1122,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f260,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f32,f40,f184,f126,f171,f172]) ).

fof(f1121,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f112,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f32,f40,f184,f126,f171,f172]) ).

fof(f1119,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1118]) ).

fof(f1118,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f141,f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f32,f40,f184,f126,f171,f172]) ).

fof(f1117,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f32,f40,f184,f126,f171,f172]) ).

fof(f1115,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1114]) ).

fof(f1114,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f172,f32,f40,f184,f126,f171]) ).

fof(f1113,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f172,f171,f32,f40,f184,f126]) ).

fof(f1111,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1110]) ).

fof(f1110,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f172,f171,f126,f32,f40,f184]) ).

fof(f1109,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1108,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f172,f171,f126,f184,f32,f40]) ).

fof(f1107,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f39,f41,f42,f43,f44,f3,f53,f50,f56,f58,f62,f57,f63,f66,f48,f67,f71,f74,f69,f77,f49,f78,f79,f81,f83,f85,f89,f88,f90,f91,f82,f95,f92,f96,f99,f61,f119,f123,f124,f125,f137,f131,f132,f148,f150,f127,f157,f158,f129,f163,f152,f166,f167,f175,f179,f180,f205,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f949,f979,f982,f975,f20,f21,f5,f37,f7,f11,f12,f172,f171,f126,f184,f40,f32]) ).

fof(f1104,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | spl0_1
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12,f40,f32]) ).

fof(f1102,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | spl0_1
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f32,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12,f40]) ).

fof(f1100,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1099,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(global_subsumption,[],[f184,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1098,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(global_subsumption,[],[f126,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1096,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(global_subsumption,[],[f171,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1094,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1093,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_15 ),
    inference(global_subsumption,[],[f172,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1092,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1091,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_15 ),
    inference(global_subsumption,[],[f141,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1090,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_15 ),
    inference(global_subsumption,[],[f112,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1088,plain,
    ( spl0_1
    | ~ spl0_8
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1087,plain,
    ( $false
    | spl0_1
    | ~ spl0_8
    | spl0_15 ),
    inference(global_subsumption,[],[f260,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1086,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(global_subsumption,[],[f658,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f658,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(superposition,[],[f268,f656]) ).

fof(f656,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_11
    | spl0_15 ),
    inference(forward_demodulation,[],[f655,f291]) ).

fof(f1084,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1083]) ).

fof(f1083,plain,
    ( $false
    | spl0_1
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11,f12]) ).

fof(f1081,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1080]) ).

fof(f1080,plain,
    ( $false
    | spl0_1
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f9,f12,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f11]) ).

fof(f1079,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1078]) ).

fof(f1078,plain,
    ( $false
    | spl0_1
    | ~ spl0_11
    | spl0_15 ),
    inference(global_subsumption,[],[f1077,f15,f25,f1,f2,f10,f32,f40,f41,f42,f43,f44,f3,f53,f50,f57,f63,f66,f48,f49,f78,f79,f81,f82,f95,f61,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f11,f9,f12,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574]) ).

fof(f1076,plain,
    ( spl0_8
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | spl0_8
    | spl0_15 ),
    inference(global_subsumption,[],[f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f19,f17,f13,f11,f9,f12,f22,f6,f20,f1062,f21,f1065,f5,f1068,f7,f1073,f574,f259]) ).

fof(f1061,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1060,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f39,f3,f53,f56,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f551,f554,f563,f6,f583,f586,f579,f599,f597,f666,f668,f5,f664,f7,f523,f531,f1013,f665,f759,f630,f575,f584,f606,f578,f603,f608,f37]) ).

fof(f759,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f758,f517]) ).

fof(f758,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f757,f291]) ).

fof(f757,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f756,f291]) ).

fof(f756,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f755,f517]) ).

fof(f755,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f754,f291]) ).

fof(f754,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c7)
        | sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != multiply(X3,sk_c7)
        | multiply(sk_c6,sk_c7) != sk_c5 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29,f291]) ).

fof(f531,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f17,f291]) ).

fof(f664,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15,f291]) ).

fof(f668,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f575]) ).

fof(f666,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f665,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f575,f579]) ).

fof(f597,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f56,f579]) ).

fof(f599,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f590,f579]) ).

fof(f590,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f579,f546]) ).

fof(f586,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f584]) ).

fof(f583,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f578]) ).

fof(f563,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f562,f1]) ).

fof(f562,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f561,f3]) ).

fof(f561,plain,
    ( ! [X0] : multiply(multiply(sk_c6,identity),X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f554]) ).

fof(f551,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f546,f56]) ).

fof(f543,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f7,f531,f528,f540,f6,f523,f520,f517,f501,f542,f506]) ).

fof(f506,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f505,f291]) ).

fof(f505,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f28,f291]) ).

fof(f542,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f506,f7,f531,f528,f540,f6,f523,f520,f517,f501]) ).

fof(f501,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f291]) ).

fof(f520,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27,f291]) ).

fof(f540,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f506,f501,f517,f520,f523,f6,f7,f531,f528]) ).

fof(f528,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4,f291]) ).

fof(f1059,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1058,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f37,f39,f3,f53,f56,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f551,f554,f563,f6,f583,f586,f579,f599,f597,f666,f668,f5,f664,f7,f523,f531,f1013,f665,f759,f630,f575,f584,f606,f578,f603,f608]) ).

fof(f1057,plain,
    ( ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f37,f39,f3,f53,f56,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f551,f554,f563,f6,f583,f586,f579,f599,f608,f597,f666,f668,f5,f664,f7,f523,f531,f1013,f665,f759,f630,f575,f584,f606,f578,f603]) ).

fof(f1055,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1054]) ).

fof(f1054,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f578,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f601,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f600,f251]) ).

fof(f600,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f591,f579]) ).

fof(f591,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c3,multiply(sk_c6,identity))
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f579,f553]) ).

fof(f671,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f670,f1]) ).

fof(f670,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f3,f601]) ).

fof(f672,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f671,f254]) ).

fof(f673,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f671,f251]) ).

fof(f677,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f254,f671]) ).

fof(f710,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f33,f673]) ).

fof(f678,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f251,f671]) ).

fof(f560,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f559,f1]) ).

fof(f559,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f558,f3]) ).

fof(f558,plain,
    ( ! [X0] : multiply(multiply(sk_c6,identity),X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f553]) ).

fof(f553,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f546,f251]) ).

fof(f552,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f546,f254]) ).

fof(f1053,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1052,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f606,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1051,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f584,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1049,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f264,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1047,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f288,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1045,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1044,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f727,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f727,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f288,f710]) ).

fof(f1043,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f570,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1041,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f751,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f751,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f750,f1]) ).

fof(f750,plain,
    ( sk_c6 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f570,f673]) ).

fof(f1039,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1038,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601,f575]) ).

fof(f1037,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671,f601]) ).

fof(f1035,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672,f671]) ).

fof(f1033,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1032,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673,f672]) ).

fof(f1031,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1030]) ).

fof(f1030,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f678,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677,f673]) ).

fof(f1029,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1028]) ).

fof(f1028,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f678,f673,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710,f677]) ).

fof(f1027,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759,f710]) ).

fof(f1025,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1024]) ).

fof(f1024,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | spl0_17
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f630,f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759]) ).

fof(f1023,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1022]) ).

fof(f1022,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972,f759]) ).

fof(f1021,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975,f972]) ).

fof(f1019,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665,f975]) ).

fof(f1017,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1016,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f949,f979,f5,f664,f982,f7,f523,f531,f1013,f665]) ).

fof(f1015,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1014]) ).

fof(f1014,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f665,f949,f979,f5,f664,f982,f7,f523,f531,f1013]) ).

fof(f1011,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1010]) ).

fof(f1010,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f665,f949,f979,f5,f664,f982,f7,f523,f531]) ).

fof(f1009,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1008]) ).

fof(f1008,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f531,f528,f540,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f665,f949,f979,f5,f664,f982,f7,f523]) ).

fof(f1007,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f531,f528,f540,f523,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f665,f949,f979,f5,f664,f982,f7]) ).

fof(f1005,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f20,f15,f25,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f33,f251,f254,f22,f291,f7,f531,f528,f540,f523,f520,f501,f542,f506,f543,f517,f546,f552,f553,f560,f6,f579,f599,f666,f575,f668,f601,f671,f672,f677,f678,f673,f710,f759,f665,f949,f979,f5,f664,f982]) ).

fof(f999,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f998,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f981,f33]) ).

fof(f981,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f976]) ).

fof(f976,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f838]) ).

fof(f997,plain,
    ( ~ spl0_10
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f996,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f982,f915]) ).

fof(f915,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f287,f629]) ).

fof(f995,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f994]) ).

fof(f994,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f993,f915]) ).

fof(f993,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f983,f451]) ).

fof(f451,plain,
    ( identity = sk_c2
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f440,f266]) ).

fof(f440,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f437,f1]) ).

fof(f437,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f427]) ).

fof(f427,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f423,f266]) ).

fof(f423,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,sk_c2))
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f354,f291]) ).

fof(f983,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f973]) ).

fof(f973,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f826]) ).

fof(f826,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_11
    | spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f656,f629]) ).

fof(f990,plain,
    ( ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f989]) ).

fof(f989,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f988,f33]) ).

fof(f987,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f985,f33]) ).

fof(f985,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f969]) ).

fof(f969,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(superposition,[],[f949,f831]) ).

fof(f831,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f793,f629]) ).

fof(f793,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f785,f658]) ).

fof(f785,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f784,f1]) ).

fof(f784,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f783,f3]) ).

fof(f783,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f778]) ).

fof(f778,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f771,f553]) ).

fof(f950,plain,
    ( spl0_18
    | spl0_18
    | spl0_18
    | spl0_18
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f864,f628,f290,f948,f948,f948,f948]) ).

fof(f864,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f863,f629]) ).

fof(f863,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f862,f629]) ).

fof(f862,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f861,f629]) ).

fof(f861,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f860,f629]) ).

fof(f860,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f859,f629]) ).

fof(f859,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c6 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c6 != inverse(X6)
        | sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f759,f629]) ).

fof(f910,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f909]) ).

fof(f909,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f902,f288]) ).

fof(f902,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f260,f451]) ).

fof(f898,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f897,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f893,f288]) ).

fof(f893,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f264,f877]) ).

fof(f877,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f838,f794]) ).

fof(f794,plain,
    ( identity = multiply(sk_c1,sk_c4)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f785,f545]) ).

fof(f545,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f264]) ).

fof(f813,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f812]) ).

fof(f812,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15
    | spl0_17 ),
    inference(subsumption_resolution,[],[f811,f630]) ).

fof(f811,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15 ),
    inference(forward_demodulation,[],[f809,f611]) ).

fof(f809,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f254,f793]) ).

fof(f753,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f752]) ).

fof(f752,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f751,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f749,plain,
    ( spl0_2
    | spl0_14
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f748]) ).

fof(f748,plain,
    ( $false
    | spl0_2
    | spl0_14
    | spl0_17 ),
    inference(global_subsumption,[],[f630,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f747,plain,
    ( spl0_2
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | spl0_2
    | ~ spl0_11
    | spl0_14 ),
    inference(global_subsumption,[],[f721,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f721,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f664,f36]) ).

fof(f745,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f744]) ).

fof(f744,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f682,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f682,plain,
    ( sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f680]) ).

fof(f680,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f415,f671]) ).

fof(f415,plain,
    ( ! [X0] :
        ( sk_c6 != multiply(X0,sk_c6)
        | inverse(X0) != sk_c6 )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f106,f291]) ).

fof(f106,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f743,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f742]) ).

fof(f742,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f687,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f687,plain,
    ( sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f681,f291]) ).

fof(f681,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f106,f671]) ).

fof(f741,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f740]) ).

fof(f740,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f727,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f739,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f738]) ).

fof(f738,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f737,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f737,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f736,f1]) ).

fof(f736,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f735,f673]) ).

fof(f734,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f733]) ).

fof(f733,plain,
    ( $false
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f667,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f667,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f415,f575]) ).

fof(f732,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f731]) ).

fof(f731,plain,
    ( $false
    | spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | spl0_14
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f577,f20,f15,f25,f5,f1,f2,f10,f3,f53,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f7,f6,f570,f36]) ).

fof(f577,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f415,f575]) ).

fof(f730,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f729]) ).

fof(f729,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f727,f629]) ).

fof(f686,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f685]) ).

fof(f685,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(subsumption_resolution,[],[f679,f630]) ).

fof(f679,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f611,f671]) ).

fof(f684,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f683]) ).

fof(f683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15
    | spl0_17 ),
    inference(subsumption_resolution,[],[f674,f630]) ).

fof(f674,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f671,f611]) ).

fof(f662,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f661,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(subsumption_resolution,[],[f660,f260]) ).

fof(f660,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_4
    | ~ spl0_11
    | spl0_15 ),
    inference(trivial_inequality_removal,[],[f657]) ).

fof(f657,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_4
    | ~ spl0_11
    | spl0_15 ),
    inference(superposition,[],[f415,f656]) ).

fof(f631,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f616,f569,f290,f105,f31,f628,f624]) ).

fof(f624,plain,
    ( spl0_16
  <=> sk_c7 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f616,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(inner_rewriting,[],[f613]) ).

fof(f613,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f415,f611]) ).

fof(f605,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f603,f581]) ).

fof(f581,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f580]) ).

fof(f580,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f577,f37]) ).

fof(f576,plain,
    ( spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f6,f573,f569]) ).

fof(f537,plain,
    ( spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f536]) ).

fof(f536,plain,
    ( $false
    | spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f264,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523,f6,f528,f531,f7]) ).

fof(f515,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f501,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22]) ).

fof(f514,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506]) ).

fof(f510,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | spl0_3
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f103,f291]) ).

fof(f535,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523,f6,f528,f531,f7]) ).

fof(f533,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f532]) ).

fof(f532,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523,f6,f528,f531]) ).

fof(f530,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523,f6,f528]) ).

fof(f527,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523,f6]) ).

fof(f525,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520,f523]) ).

fof(f522,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517,f520]) ).

fof(f519,plain,
    ( spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | spl0_3
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f291,f510,f506,f514,f501,f515,f517]) ).

fof(f513,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f511,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f511,plain,
    ( sk_c7 != sk_c6
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f510,f440]) ).

fof(f509,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f508]) ).

fof(f508,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f507,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f507,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f506,f440]) ).

fof(f504,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f502,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f502,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f501,f440]) ).

fof(f500,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f499]) ).

fof(f499,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f498,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f498,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f497]) ).

fof(f497,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = sk_c6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f496,f440]) ).

fof(f496,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | sk_c7 = sk_c6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f495,f291]) ).

fof(f495,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f494,f440]) ).

fof(f493,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f491,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f491,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f490,f440]) ).

fof(f490,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f489,f291]) ).

fof(f489,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f27,f263]) ).

fof(f484,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

fof(f483,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f482,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f482,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f481,f427]) ).

fof(f481,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c2,identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f436,f291]) ).

fof(f436,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c2,identity)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f277,f427]) ).

fof(f480,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f478,f20,f15,f25,f5,f1,f2,f10,f3,f53,f103,f29,f28,f26,f24,f18,f16,f14,f8,f6,f4,f27,f23,f21,f19,f17,f13,f11,f9,f7,f12,f22,f263,f271,f275,f273,f277]) ).

fof(f478,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f477,f440]) ).

fof(f477,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f452,f291]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,X0)
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f277,f440]) ).

fof(f475,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f460,f412]) ).

fof(f412,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f20,f15,f25,f5,f1,f2,f10,f37,f39,f3,f53,f56,f29,f246,f28,f247,f26,f248,f24,f249,f18,f16,f14,f8,f6,f4,f27,f250,f23,f21,f19,f17,f13,f11,f9,f7,f12,f33,f102,f251,f254,f22,f260,f263,f266,f268,f271,f272,f274,f275,f276,f278,f106,f281,f282,f283,f280,f284,f252,f307,f309,f312,f305,f315,f316,f318,f273,f320,f324,f321,f331,f323,f336,f277,f337,f338,f341,f344,f347,f352,f346,f353,f343,f357,f348,f359,f354,f362,f364,f303,f365,f304,f373,f371,f319,f378,f379,f383,f377,f387,f399,f394,f395,f396,f401,f398,f388,f404,f410,f407,f411]) ).

fof(f411,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f402,f33]) ).

fof(f402,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f106,f388]) ).

fof(f407,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f406,f276]) ).

fof(f406,plain,
    ( sk_c5 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f403,f347]) ).

fof(f403,plain,
    ( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f304,f388]) ).

fof(f410,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f405,f377]) ).

fof(f405,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f388]) ).

fof(f404,plain,
    ( sk_c5 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f254,f388]) ).

fof(f388,plain,
    ( sk_c5 = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f377,f347]) ).

fof(f398,plain,
    ( identity = multiply(sk_c6,multiply(sk_c1,sk_c2))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f354,f377]) ).

fof(f401,plain,
    ( multiply(sk_c1,sk_c3) = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f397,f377]) ).

fof(f397,plain,
    ( multiply(sk_c5,sk_c1) = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f348,f377]) ).

fof(f396,plain,
    ( sk_c6 != multiply(sk_c1,sk_c5)
    | sk_c6 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9 ),
    inference(superposition,[],[f106,f377]) ).

fof(f395,plain,
    ( sk_c5 = multiply(sk_c1,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f347,f377]) ).

fof(f394,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f346,f377]) ).

fof(f399,plain,
    ( multiply(sk_c1,sk_c3) = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f389,f377]) ).

fof(f389,plain,
    ( multiply(sk_c5,sk_c1) = multiply(sk_c1,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f377,f348]) ).

fof(f387,plain,
    ( sk_c5 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f377,f346]) ).

fof(f377,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f319,f303]) ).

fof(f383,plain,
    ( ! [X0,X1] : multiply(sk_c5,multiply(X0,X1)) = multiply(sk_c1,multiply(X0,X1))
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f382,f3]) ).

fof(f382,plain,
    ( ! [X0,X1] : multiply(sk_c5,multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f381,f303]) ).

fof(f381,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,X0),X1) = multiply(sk_c6,multiply(sk_c3,multiply(X0,X1)))
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f380,f3]) ).

fof(f380,plain,
    ( ! [X0,X1] : multiply(multiply(sk_c1,X0),X1) = multiply(sk_c6,multiply(multiply(sk_c3,X0),X1))
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f3,f319]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f277,f319]) ).

fof(f378,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f303,f319]) ).

fof(f319,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f273,f56]) ).

fof(f371,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c2,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f277,f304]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f369,f252]) ).

fof(f369,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f304,f273]) ).

fof(f304,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f252,f254]) ).

fof(f365,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c2,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f277,f303]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f252,f56]) ).

fof(f359,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f358,f3]) ).

fof(f358,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(multiply(sk_c5,sk_c1),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f3,f348]) ).

fof(f348,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f342,f277]) ).

fof(f342,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c2,multiply(sk_c6,sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f277,f316]) ).

fof(f353,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f3,f346]) ).

fof(f346,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f339,f275]) ).

fof(f339,plain,
    ( multiply(sk_c2,sk_c6) = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f277,f309]) ).

fof(f341,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f277,f323]) ).

fof(f338,plain,
    ( multiply(sk_c5,sk_c1) = multiply(sk_c2,multiply(sk_c1,identity))
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f277,f321]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f335,f1]) ).

fof(f335,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f334,f3]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f3,f323]) ).

fof(f323,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c1,identity)
    | ~ spl0_2
    | spl0_9 ),
    inference(superposition,[],[f273,f39]) ).

fof(f331,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f330,f1]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(forward_demodulation,[],[f329,f3]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(multiply(sk_c1,identity),X0)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f3,f321]) ).

fof(f321,plain,
    ( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f273,f251]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f254,f273]) ).

fof(f320,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f273,f254]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f317,f3]) ).

fof(f317,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(multiply(sk_c6,sk_c1),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f316]) ).

fof(f316,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f307,f305]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f314,f1]) ).

fof(f314,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f313,f3]) ).

fof(f313,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c1),X0)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f305]) ).

fof(f305,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f252,f251]) ).

fof(f312,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f3,f309]) ).

fof(f309,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(forward_demodulation,[],[f306,f102]) ).

fof(f306,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_9 ),
    inference(superposition,[],[f252,f272]) ).

fof(f307,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f252,f39]) ).

fof(f284,plain,
    ( identity != sk_c6
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_4 ),
    inference(inner_rewriting,[],[f281]) ).

fof(f280,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != inverse(identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f106,f1]) ).

fof(f283,plain,
    ( sk_c6 != inverse(sk_c6)
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f279]) ).

fof(f279,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f106,f276]) ).

fof(f282,plain,
    ( ! [X0,X1] :
        ( sk_c6 != multiply(X0,multiply(X1,sk_c5))
        | sk_c6 != inverse(multiply(X0,X1)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f106,f3]) ).

fof(f281,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(inverse(sk_c5))
    | ~ spl0_4 ),
    inference(superposition,[],[f106,f2]) ).

fof(f274,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f3,f272]) ).

fof(f272,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f254,f271]) ).

fof(f460,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f414,f440]) ).

fof(f414,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f102,f291]) ).

fof(f469,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f447,f412]) ).

fof(f447,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f440,f414]) ).

fof(f409,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f408]) ).

fof(f408,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f407,f292]) ).

fof(f302,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f284,f105,f299,f295]) ).

fof(f293,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f280,f105,f290,f286]) ).

fof(f265,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f22,f262,f258]) ).

fof(f242,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f224,f184]) ).

fof(f224,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f219,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f161,f1]) ).

fof(f161,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f160,f126]) ).

fof(f160,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c7 != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f159,f119]) ).

fof(f159,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f106,f126]) ).

fof(f240,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f238,f184]) ).

fof(f238,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f225,f172]) ).

fof(f225,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f218]) ).

fof(f218,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f161,f148]) ).

fof(f237,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f226,f37]) ).

fof(f226,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f161,f129]) ).

fof(f121,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f119,f117]) ).

fof(f117,plain,
    ( sk_c6 != sk_c5
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(superposition,[],[f103,f71]) ).

fof(f116,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f61,f31,f114,f111,f108,f105,f101]) ).

fof(f108,plain,
    ( spl0_5
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f35,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP262-1 : TPTP v8.2.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 04:09:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (22405)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (22408)WARNING: value z3 for option sas not known
% 0.13/0.37  % (22411)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (22412)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (22410)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (22408)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (22406)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (22409)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (22407)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.20/0.40  TRYING [4]
% 0.20/0.40  TRYING [5]
% 0.20/0.44  TRYING [6]
% 0.20/0.47  % (22408)First to succeed.
% 0.20/0.49  % (22408)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22405"
% 0.20/0.49  % (22408)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (22408)------------------------------
% 0.20/0.50  % (22408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50  % (22408)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (22408)Memory used [KB]: 1834
% 0.20/0.50  % (22408)Time elapsed: 0.123 s
% 0.20/0.50  % (22408)Instructions burned: 248 (million)
% 0.20/0.50  % (22405)Success in time 0.136 s
%------------------------------------------------------------------------------