TSTP Solution File: GRP275-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:56:52 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 49
% Syntax : Number of formulae : 1274 ( 22 unt; 0 def)
% Number of atoms : 6005 (1600 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 8633 (3902 ~;4716 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 448 ( 448 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2567,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f127,f155,f177,f195,f212,f613,f643,f648,f654,f658,f727,f729,f731,f784,f789,f796,f806,f812,f816,f869,f871,f873,f875,f877,f879,f881,f883,f886,f888,f890,f892,f894,f896,f898,f900,f902,f904,f907,f909,f911,f913,f915,f917,f919,f921,f923,f925,f927,f929,f931,f933,f935,f938,f940,f942,f944,f946,f948,f950,f1021,f1096,f1099,f1103,f1106,f1110,f1157,f1248,f1271,f1276,f1437,f1458,f1474,f1485,f1520,f1524,f1527,f1532,f1536,f1540,f1544,f1551,f1557,f1740,f1742,f1784,f1786,f1788,f1790,f1792,f1794,f1796,f1799,f1801,f1803,f1806,f1809,f1812,f1815,f1818,f1820,f1822,f1824,f1826,f1828,f1831,f1833,f1835,f1837,f1839,f1841,f1844,f1846,f1889,f1983,f1986,f1990,f1992,f1995,f1997,f1999,f2003,f2006,f2009,f2015,f2017,f2034,f2047,f2050,f2052,f2054,f2056,f2058,f2060,f2062,f2064,f2066,f2068,f2070,f2072,f2074,f2076,f2078,f2080,f2082,f2084,f2086,f2088,f2090,f2092,f2094,f2096,f2098,f2100,f2102,f2104,f2107,f2109,f2111,f2114,f2116,f2118,f2121,f2124,f2126,f2206,f2254,f2327,f2374,f2411,f2415,f2422,f2431,f2440,f2445,f2450,f2455,f2460,f2464,f2466,f2468,f2470,f2472,f2476,f2481,f2484,f2489,f2495,f2499,f2503,f2506,f2509,f2512,f2514,f2516,f2518,f2520,f2522,f2524,f2526,f2528,f2530,f2532,f2534,f2536,f2538,f2540,f2542,f2544,f2546,f2548,f2552,f2556,f2560,f2562,f2566]) ).
fof(f2566,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2565,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2564,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f42,plain,
( sk_c8 != inverse(sk_c3)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2394,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_4 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f2390,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_4 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f33,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f2378,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_4 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f33,f30,f28,f27,f24,f22,f23,f29,f120,f21,f2376,f16,f35]) ).
fof(f35,plain,
! [X3,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| inverse(X6) != X7
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,X7)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f2376,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_4 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f33,f30,f28,f27,f24,f22,f23,f29,f120,f21]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f120,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f2040,plain,
( sk_c8 = inverse(sk_c2)
| spl0_2 ),
inference(subsumption_resolution,[],[f23,f42]) ).
fof(f2039,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl0_2 ),
inference(subsumption_resolution,[],[f29,f42]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f1782,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f1778,f1]) ).
fof(f1778,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f1728]) ).
fof(f1777,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f61,f1728]) ).
fof(f1728,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f61,f433]) ).
fof(f1733,plain,
identity = inverse(identity),
inference(superposition,[],[f1403,f2]) ).
fof(f1735,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f1403]) ).
fof(f1736,plain,
! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
inference(superposition,[],[f61,f1403]) ).
fof(f1403,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f61,f432]) ).
fof(f1732,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f1729,f1]) ).
fof(f1729,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f433]) ).
fof(f433,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f61,f2]) ).
fof(f432,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f61,f1]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f14,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f8,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f32,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f449,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f61,f61]) ).
fof(f436,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f61,f3]) ).
fof(f61,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f26,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
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(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
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(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f2564,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2563,f1]) ).
fof(f2563,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1152,f1851]) ).
fof(f1851,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1813,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f61,f436,f443,f449,f452,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f1130,f1141,f4,f1139,f1129,f1162,f7,f1156,f1277,f1279,f1280,f1282,f1283,f432,f1291,f1573,f1576,f1583,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1196,f1194,f1186,f1164,f5,f9,f1848,f6,f1849]) ).
fof(f1849,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f1156,f1279,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f5,f9,f1848,f6]) ).
fof(f1848,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f1156,f1279,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f5,f6,f9]) ).
fof(f1164,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1163,f1]) ).
fof(f1163,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1139]) ).
fof(f1186,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1 ),
inference(superposition,[],[f61,f1129]) ).
fof(f1194,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c8))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f1162]) ).
fof(f1196,plain,
( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1195,f1]) ).
fof(f1195,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1162]) ).
fof(f1583,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f29,f1283]) ).
fof(f1576,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1575,f1283]) ).
fof(f1575,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f30,f1283]) ).
fof(f1573,plain,
( sk_c8 = multiply(sk_c2,identity)
| identity = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1572,f1283]) ).
fof(f1572,plain,
( identity = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f33,f1283]) ).
fof(f1291,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f1280,f1283]) ).
fof(f1283,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1281,f2]) ).
fof(f1281,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f61,f1280]) ).
fof(f1282,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f3,f1280]) ).
fof(f1280,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1278,f39]) ).
fof(f1278,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f61,f1156]) ).
fof(f1279,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f1156]) ).
fof(f1277,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f1129,f1156]) ).
fof(f1156,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1154,plain,
( spl0_13
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1162,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f61,f1139]) ).
fof(f1129,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f61,f39]) ).
fof(f1139,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f1130]) ).
fof(f1141,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1140,f1]) ).
fof(f1140,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1130]) ).
fof(f1130,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1128,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f39,f181,f184,f26,f61,f433,f436,f443,f449,f452,f19,f21,f432,f20,f33,f31,f30,f28,f32,f8,f4,f6,f7,f9,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14]) ).
fof(f1127,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f39,f181,f184,f26,f61,f433,f436,f443,f449,f452,f14,f19,f21,f432,f20,f33,f31,f30,f28,f32,f8,f4,f6,f7,f9,f18,f16,f35,f15,f1124,f13,f1125,f12,f10]) ).
fof(f1125,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f39,f181,f184,f26,f61,f433,f436,f443,f449,f452,f14,f10,f12,f19,f21,f432,f20,f33,f31,f30,f28,f32,f8,f4,f6,f7,f9,f18,f16,f35,f15,f1124,f13]) ).
fof(f1124,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f39,f181,f184,f26,f61,f433,f436,f443,f449,f452,f14,f10,f12,f13,f19,f21,f432,f20,f33,f31,f30,f28,f32,f8,f4,f6,f7,f9,f18,f16,f35,f15]) ).
fof(f452,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f61,f181]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1 ),
inference(superposition,[],[f61,f184]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f183,f1]) ).
fof(f183,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f181]) ).
fof(f181,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f1813,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| identity = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1574,f1582]) ).
fof(f1582,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f469,f1139]) ).
fof(f469,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f61,f197]) ).
fof(f197,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f190]) ).
fof(f190,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1574,plain,
( identity = sk_c7
| sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f31,f1418]) ).
fof(f1418,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f1174,f2]) ).
fof(f1174,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1173,f1]) ).
fof(f1173,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1142]) ).
fof(f1142,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1132]) ).
fof(f1132,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f2,f194]) ).
fof(f194,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1152,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1150,plain,
( spl0_12
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2562,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2561,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1295,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f1295,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1287,f1]) ).
fof(f1287,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1152,f1283]) ).
fof(f2560,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2559]) ).
fof(f2559,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2558,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2558,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2557,f1]) ).
fof(f2557,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2130,f1851]) ).
fof(f2130,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1159,f1158,f1175,f1176,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f22,f24,f27,f1152,f33,f30,f28]) ).
fof(f1176,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f1158]) ).
fof(f1175,plain,
( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f61,f1158]) ).
fof(f1158,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f61,f1152]) ).
fof(f1159,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f1152]) ).
fof(f2556,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2555]) ).
fof(f2555,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2554,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2554,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2553,f1]) ).
fof(f2553,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2134,f1851]) ).
fof(f2134,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1159,f1158,f1175,f1176,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1152,f33,f30,f28,f2130,f27,f24,f22]) ).
fof(f2552,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2551]) ).
fof(f2551,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2550,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2550,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2549,f1]) ).
fof(f2549,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2377,f1851]) ).
fof(f2377,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_12 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f35,f15,f13,f12,f10,f14,f4,f1159,f1158,f1175,f1176,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1152,f33,f30,f28,f2130,f27,f24,f22,f2134,f23,f29,f21,f16]) ).
fof(f2548,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2547,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2474,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2474,plain,
( sk_c8 = sk_c6
| sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2473,f1]) ).
fof(f2473,plain,
( sk_c6 = multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2425,f1851]) ).
fof(f2425,plain,
( sk_c8 = multiply(sk_c1,identity)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2424,f1582]) ).
fof(f2424,plain,
( sk_c8 = multiply(sk_c2,identity)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f28,f1851]) ).
fof(f2546,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2479,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2479,plain,
( sk_c8 = sk_c6
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2478,f1]) ).
fof(f2478,plain,
( sk_c6 = multiply(identity,sk_c8)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2477,f1851]) ).
fof(f2477,plain,
( identity = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f16,f1851]) ).
fof(f2544,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2543,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2482,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2482,plain,
( identity != multiply(sk_c8,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f120,f1851]) ).
fof(f2542,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2541]) ).
fof(f2541,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2487,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2487,plain,
( sk_c8 = multiply(sk_c1,identity)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2486,f1582]) ).
fof(f2486,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2485,f1851]) ).
fof(f2485,plain,
( sk_c8 = multiply(sk_c3,identity)
| sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f30,f1851]) ).
fof(f2540,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2539]) ).
fof(f2539,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2493,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2493,plain,
( sk_c8 = multiply(sk_c1,identity)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2492,f1582]) ).
fof(f2492,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f29,f1851]) ).
fof(f2538,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2497,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2497,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2496,f1851]) ).
fof(f2496,plain,
( sk_c8 = multiply(sk_c3,identity)
| multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f6,f1851]) ).
fof(f2536,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2535]) ).
fof(f2535,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2501,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2501,plain,
( sk_c8 = multiply(sk_c3,identity)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2500,f1851]) ).
fof(f2500,plain,
( identity = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f18,f1851]) ).
fof(f2534,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2533,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2504,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2504,plain,
( identity = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f17,f1851]) ).
fof(f2532,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2531,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f2507,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2507,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5,f1851]) ).
fof(f2530,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2529]) ).
fof(f2529,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1887,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f1887,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1885,f1139]) ).
fof(f1885,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f61,f1880]) ).
fof(f1880,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1878,f39]) ).
fof(f1878,plain,
( identity = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f61,f1866]) ).
fof(f1866,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1850,f1851]) ).
fof(f1850,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f61,f436,f443,f449,f452,f469,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f1130,f1141,f4,f1139,f1129,f1162,f7,f432,f446,f1582,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1196,f1194,f1186,f1164,f1797,f42,f5,f1804,f1807,f1810,f9,f6,f1816]) ).
fof(f1816,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f33,f1582]) ).
fof(f1810,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f30,f1582]) ).
fof(f1807,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f28,f1582]) ).
fof(f1804,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f29,f1582]) ).
fof(f1797,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f446,f1582]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_7 ),
inference(superposition,[],[f61,f201]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f200,f1]) ).
fof(f200,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f197]) ).
fof(f2528,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2527]) ).
fof(f2527,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1880,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2526,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2525]) ).
fof(f2525,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1877,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f1877,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f1129,f1866]) ).
fof(f2524,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2523]) ).
fof(f2523,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1866,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2522,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2521]) ).
fof(f2521,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2039,f2040,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394,f42]) ).
fof(f2520,plain,
( spl0_2
| spl0_4
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2519,plain,
( $false
| spl0_2
| spl0_4
| spl0_12 ),
inference(global_subsumption,[],[f42,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f1151,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_12 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f2045,plain,
( sk_c8 = inverse(sk_c2)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035,f30,f2037,f28,f2038,f27,f2041,f24,f2044,f22]) ).
fof(f2044,plain,
( sk_c8 = inverse(sk_c2)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f22,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035,f30,f2037,f28,f2038,f27,f2041,f24]) ).
fof(f2041,plain,
( sk_c8 = inverse(sk_c2)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035,f30,f2037,f28,f2038,f27]) ).
fof(f2038,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035,f30,f2037,f28]) ).
fof(f2037,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f31,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035,f30]) ).
fof(f2035,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33]) ).
fof(f2518,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2517]) ).
fof(f2517,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1866,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2516,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2515,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1877,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2514,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2513,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1880,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2512,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2511]) ).
fof(f2511,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1887,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2509,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2508,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2507,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2506,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2505]) ).
fof(f2505,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2504,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2503,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2501,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2499,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2498]) ).
fof(f2498,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2497,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2495,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2494,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2493,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2489,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2488]) ).
fof(f2488,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2487,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2484,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2483,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2482,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2481,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2480,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2479,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2476,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2474,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2472,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2471]) ).
fof(f2471,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2437,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2437,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2436,f1582]) ).
fof(f2436,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2038,f1851]) ).
fof(f2470,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2469]) ).
fof(f2469,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2442,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2442,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2441,f1582]) ).
fof(f2441,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2037,f1851]) ).
fof(f2468,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2467,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2447,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2447,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2446,f1582]) ).
fof(f2446,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2036,f1851]) ).
fof(f2036,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_8
| spl0_12 ),
inference(global_subsumption,[],[f1574,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f1151,f33,f2035]) ).
fof(f2466,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2465]) ).
fof(f2465,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2452,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2452,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2451,f1582]) ).
fof(f2451,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2035,f1851]) ).
fof(f2464,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2463]) ).
fof(f2463,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2462,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2462,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2461,f1]) ).
fof(f2461,plain,
( sk_c6 != multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1151,f1851]) ).
fof(f2460,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2458,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2458,plain,
( sk_c1 != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2457,f1]) ).
fof(f2457,plain,
( sk_c6 != multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2456,f1851]) ).
fof(f2456,plain,
( sk_c6 != multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1151,f1294]) ).
fof(f1294,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1286,f1139]) ).
fof(f1286,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f1145,f1283]) ).
fof(f1145,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f61,f1138]) ).
fof(f1138,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1136,f43]) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f1136,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f61,f1116]) ).
fof(f1116,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1115]) ).
fof(f1115,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f30,f1047]) ).
fof(f1047,plain,
( sk_c3 = sk_c2
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f469,f466]) ).
fof(f466,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f61,f45]) ).
fof(f45,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f43]) ).
fof(f2455,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2454,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2453,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2453,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2452,f1294]) ).
fof(f2450,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2449]) ).
fof(f2449,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2448,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2448,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2447,f1294]) ).
fof(f2445,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2444]) ).
fof(f2444,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2443,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2443,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2442,f1294]) ).
fof(f2440,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2439,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2438,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2438,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2437,f1294]) ).
fof(f2431,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2429,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2429,plain,
( sk_c1 = sk_c6
| sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2428,f1]) ).
fof(f2428,plain,
( sk_c6 = multiply(identity,sk_c1)
| sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2427,f1851]) ).
fof(f2427,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2426,f1294]) ).
fof(f2426,plain,
( sk_c1 = multiply(sk_c1,identity)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2425,f1294]) ).
fof(f2422,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
fof(f2421,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2420,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2420,plain,
( sk_c1 = sk_c6
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2419,f1]) ).
fof(f2419,plain,
( sk_c6 = multiply(identity,sk_c1)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2418,f1851]) ).
fof(f2418,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2417,f1294]) ).
fof(f2417,plain,
( identity = multiply(sk_c1,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2416,f1851]) ).
fof(f2416,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f16,f1294]) ).
fof(f2415,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2414,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f2413,f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f20,f31,f32,f8,f18,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f6,f5,f2035,f2037,f2038,f2041,f2044,f2045,f1151,f30,f28,f24,f22,f23,f29,f120,f21,f2376,f16,f35,f2378,f9,f27,f2390,f33,f2394]) ).
fof(f2413,plain,
( identity != multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2412,f1851]) ).
fof(f2412,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f120,f1294]) ).
fof(f2411,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2410]) ).
fof(f2410,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2409,f1851]) ).
fof(f2409,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2408,f1130]) ).
fof(f2408,plain,
( sk_c7 != multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f120,f2404]) ).
fof(f2404,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1295,f1294]) ).
fof(f2374,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2373,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f45,f3,f64,f120,f25,f181,f184,f26,f61,f436,f443,f449,f452,f445,f19,f21,f20,f31,f32,f466,f1044,f1046,f8,f1111,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f194,f1130,f1141,f1132,f1144,f4,f1159,f1139,f1161,f1167,f1142,f1158,f1175,f1176,f1129,f1131,f1189,f1192,f1162,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f1164,f1186,f1194,f1196,f1152,f33,f2127,f1574,f30,f2129,f28,f2130,f27,f2131,f2042,f2132,f24,f2133,f22,f2134,f23,f2135,f29,f2136,f43,f2128,f1160,f2216,f2219,f2220,f2217,f2211,f2183,f2331,f2333,f2337,f2338,f2346,f2347,f2350,f2351,f2353,f2354,f2356,f2329,f189,f2175,f2362,f2365,f2366,f2209,f2367,f2370,f2371,f2372]) ).
fof(f2372,plain,
( identity != multiply(sk_c8,sk_c8)
| spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2356,f2329]) ).
fof(f2371,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2369,f1]) ).
fof(f2369,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f2209]) ).
fof(f2370,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2368,f1699]) ).
fof(f2368,plain,
( sk_c8 = multiply(inverse(sk_c5),identity)
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f61,f2209]) ).
fof(f2367,plain,
( sk_c8 = multiply(sk_c4,identity)
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1420,f2209]) ).
fof(f2209,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2131,f2128]) ).
fof(f2366,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2364,f1]) ).
fof(f2364,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f2175]) ).
fof(f2365,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2363,f39]) ).
fof(f2363,plain,
( identity = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f61,f2175]) ).
fof(f2362,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1129,f2175]) ).
fof(f2175,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2174,f1160]) ).
fof(f2174,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2129,f2128]) ).
fof(f189,plain,
( sk_c8 != inverse(sk_c2)
| spl0_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f2329,plain,
( sk_c8 = sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2328,f1]) ).
fof(f2328,plain,
( sk_c6 = multiply(identity,sk_c8)
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2134,f2128]) ).
fof(f2356,plain,
( identity != multiply(sk_c8,sk_c6)
| spl0_4
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f120,f2128]) ).
fof(f2354,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1142,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f33,f2127,f1574,f30,f2129,f28,f27,f2131,f2042,f2132,f24,f2133,f22,f23,f2135,f29,f2136,f2128,f2219,f2220,f2211,f2209,f189,f2346,f2350,f2353]) ).
fof(f2353,plain,
( identity = multiply(sk_c8,sk_c6)
| identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2352,f2128]) ).
fof(f2352,plain,
( identity = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f21,f2128]) ).
fof(f2351,plain,
( sk_c8 = sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1159,f1142,f1158,f1175,f1176,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f1152,f33,f2127,f1574,f30,f2129,f28,f2130,f27,f2131,f2042,f2132,f24,f2133,f22,f2134,f23,f2135,f29,f2136,f2128,f2219,f2220,f2211,f2209,f189,f2329,f2331,f2333,f2346,f2347,f2350]) ).
fof(f2350,plain,
( sk_c8 = sk_c6
| identity = multiply(sk_c8,sk_c6)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2349,f1]) ).
fof(f2349,plain,
( sk_c6 = multiply(identity,sk_c8)
| identity = multiply(sk_c8,sk_c6)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2348,f2128]) ).
fof(f2348,plain,
( identity = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f2128]) ).
fof(f2347,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1159,f1142,f1158,f1175,f1176,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f1152,f33,f2127,f1574,f30,f2129,f28,f2130,f27,f2131,f2042,f2132,f24,f2133,f22,f2134,f23,f2135,f29,f2136,f2128,f2219,f2220,f2211,f2209,f189,f2329,f2331,f2333,f2346]) ).
fof(f2346,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != sk_c6
| sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2345,f1]) ).
fof(f2345,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(identity,sk_c8)
| sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2344,f2128]) ).
fof(f2344,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2343,f2128]) ).
fof(f2343,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2342,f2128]) ).
fof(f2342,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2341,f2128]) ).
fof(f2341,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2340,f2128]) ).
fof(f2340,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c8)
| identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2339,f2128]) ).
fof(f2339,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f35,f2128]) ).
fof(f2338,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f45,f3,f64,f25,f181,f184,f26,f61,f436,f443,f449,f452,f445,f19,f21,f20,f31,f32,f466,f1044,f1046,f8,f1111,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f194,f1130,f1141,f1132,f1144,f4,f1139,f1161,f1167,f1142,f1129,f1131,f1189,f1192,f1162,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f1164,f1186,f1194,f1196,f33,f2127,f1574,f30,f2129,f28,f27,f2131,f2042,f2132,f24,f2133,f22,f23,f2135,f29,f2136,f43,f2128,f1160,f2216,f2219,f2220,f2217,f2211,f2209,f2183,f2175,f189,f2337]) ).
fof(f2337,plain,
( sk_c8 = multiply(sk_c1,identity)
| identity = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2336,f1160]) ).
fof(f2336,plain,
( sk_c8 = multiply(sk_c3,identity)
| identity = multiply(sk_c8,sk_c6)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2335,f2128]) ).
fof(f2335,plain,
( identity = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f18,f2128]) ).
fof(f2333,plain,
( sk_c8 = sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2332,f1]) ).
fof(f2332,plain,
( sk_c6 = multiply(identity,sk_c8)
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1152,f2128]) ).
fof(f2331,plain,
( sk_c8 = sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2330,f1]) ).
fof(f2330,plain,
( sk_c6 = multiply(identity,sk_c8)
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2130,f2128]) ).
fof(f2183,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2182,f1160]) ).
fof(f2182,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2133,f2128]) ).
fof(f2211,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2127,f2128]) ).
fof(f2217,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f45,f3,f64,f25,f181,f184,f26,f61,f436,f443,f449,f452,f445,f19,f21,f20,f31,f32,f466,f1044,f1046,f8,f1111,f18,f16,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f194,f1130,f1141,f1132,f1144,f4,f1139,f1161,f1167,f1142,f1129,f1131,f1189,f1192,f1162,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f1164,f1186,f1194,f1196,f33,f2127,f1574,f30,f2129,f28,f27,f2131,f2042,f2132,f24,f2133,f22,f23,f2135,f29,f2136,f43,f2128,f1160,f2183,f2209,f2175,f2211,f189,f2216]) ).
fof(f2220,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1142,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f33,f2127,f1574,f30,f2129,f28,f27,f2131,f2042,f2132,f24,f2133,f22,f23,f2135,f29,f2136,f2128,f2209,f2211,f189,f2219]) ).
fof(f2219,plain,
( identity = multiply(sk_c1,sk_c8)
| identity = multiply(sk_c5,sk_c8)
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2218,f2128]) ).
fof(f2218,plain,
( identity = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f9,f2128]) ).
fof(f2216,plain,
( identity = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2215,f2128]) ).
fof(f2215,plain,
( sk_c8 = multiply(sk_c1,identity)
| multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2214,f1160]) ).
fof(f2214,plain,
( sk_c8 = multiply(sk_c3,identity)
| multiply(sk_c1,sk_c8) = sk_c7
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f6,f2128]) ).
fof(f1160,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1139,f466]) ).
fof(f2128,plain,
( identity = sk_c7
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1142,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f189,f22,f24,f2042,f27,f28,f30,f33,f2127,f1574]) ).
fof(f2136,plain,
( sk_c8 = inverse(sk_c3)
| spl0_7 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f33,f2127,f30,f2129,f28,f27,f2131,f24,f2133,f22,f189,f23,f2135,f29]) ).
fof(f2135,plain,
( sk_c8 = inverse(sk_c3)
| spl0_7 ),
inference(global_subsumption,[],[f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f33,f2127,f30,f2129,f28,f27,f2131,f24,f2133,f22,f189,f23]) ).
fof(f2133,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f189,f22,f33,f2127,f30,f2129,f28,f27,f2131,f24]) ).
fof(f2132,plain,
( identity = sk_c7
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f1111,f18,f16,f35,f15,f13,f12,f10,f14,f194,f1132,f1144,f4,f1142,f1131,f1189,f1172,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1829,f9,f6,f5,f189,f22,f24,f33,f2127,f1574,f2128,f30,f2129,f28,f27,f2131,f2042]) ).
fof(f2042,plain,
( identity = sk_c7
| sk_c8 = inverse(sk_c2)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f25,f1418]) ).
fof(f2131,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f189,f22,f24,f33,f2127,f30,f2129,f28,f27]) ).
fof(f2129,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f189,f22,f24,f27,f28,f33,f2127,f30]) ).
fof(f2127,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1829,plain,
( identity = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f7,f1418]) ).
fof(f1699,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1696,f1419]) ).
fof(f1696,plain,
( inverse(sk_c5) = multiply(sk_c4,identity)
| ~ spl0_8 ),
inference(superposition,[],[f1420,f1681]) ).
fof(f1700,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1697,f1142]) ).
fof(f1697,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1681]) ).
fof(f1681,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_8 ),
inference(superposition,[],[f1665,f2]) ).
fof(f1687,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f61,f1665]) ).
fof(f1686,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_8 ),
inference(superposition,[],[f2,f1665]) ).
fof(f1665,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_8 ),
inference(superposition,[],[f1199,f1420]) ).
fof(f1680,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1679,f1]) ).
fof(f1679,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1651]) ).
fof(f1678,plain,
( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c5))))),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1651]) ).
fof(f1651,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1197]) ).
fof(f1675,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1674,f1]) ).
fof(f1674,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1670]) ).
fof(f1673,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1670]) ).
fof(f1670,plain,
( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1666]) ).
fof(f1672,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1671,f1]) ).
fof(f1671,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1666]) ).
fof(f1666,plain,
( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_8 ),
inference(superposition,[],[f1199,f1418]) ).
fof(f1667,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1199]) ).
fof(f1199,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1198,f1]) ).
fof(f1198,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1172]) ).
fof(f1653,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1652,f1]) ).
fof(f1652,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1197]) ).
fof(f1197,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1172]) ).
fof(f1420,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f1174,f61]) ).
fof(f1427,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_8 ),
inference(superposition,[],[f1131,f1418]) ).
fof(f1419,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_8 ),
inference(superposition,[],[f1174,f1142]) ).
fof(f1431,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1429,f1]) ).
fof(f1429,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1418]) ).
fof(f1430,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1428,f194]) ).
fof(f1428,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1418]) ).
fof(f1425,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f61,f1174]) ).
fof(f1424,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_8 ),
inference(superposition,[],[f1142,f1174]) ).
fof(f1422,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f61,f1174]) ).
fof(f1421,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f2,f1174]) ).
fof(f1172,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1142]) ).
fof(f1192,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1044,f1160]) ).
fof(f1189,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_8 ),
inference(superposition,[],[f61,f1131]) ).
fof(f1131,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f61,f194]) ).
fof(f1167,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f1160]) ).
fof(f1161,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f466,f1139]) ).
fof(f1144,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1143,f1]) ).
fof(f1143,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1132]) ).
fof(f1111,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f433,f436,f449,f14,f10,f12,f13,f15,f35,f16,f18,f19,f21,f432,f20,f33,f31,f30,f28,f9,f7,f6,f4,f32,f194,f8]) ).
fof(f1046,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1045,f1]) ).
fof(f1045,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f466]) ).
fof(f1044,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f61,f466]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f61,f64]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f45]) ).
fof(f2327,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2326,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2325,f1581]) ).
fof(f1581,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f213,f158,f61,f433,f436,f443,f449,f452,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f6,f9,f18,f16,f1122,f35,f1123,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1134,f1130,f1141,f1133,f1147,f1148,f4,f1152,f1159,f1139,f1158,f1175,f1176,f1129,f1162,f1194,f1196,f7,f1156,f1277,f1279,f1280,f1282,f1283,f1293,f1301,f432,f1403,f1186,f1559,f1560,f1568,f1569,f1164,f1291,f1573,f1576,f1580]) ).
fof(f1580,plain,
( sk_c1 = sk_c8
| sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1579,f1]) ).
fof(f1579,plain,
( sk_c1 = multiply(identity,sk_c8)
| sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1578,f1283]) ).
fof(f1578,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1577,f1293]) ).
fof(f1577,plain,
( sk_c8 = multiply(sk_c2,identity)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f28,f1283]) ).
fof(f1569,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f213,f158,f61,f433,f436,f443,f449,f452,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f6,f9,f18,f16,f1122,f35,f1123,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1134,f1130,f1141,f1133,f1147,f1148,f4,f1152,f1159,f1139,f1164,f1158,f1175,f1176,f1129,f1162,f1194,f1196,f7,f1156,f1277,f1279,f1280,f1282,f1283,f1291,f1293,f1301,f432,f1403,f1186,f1559,f1560,f1568]) ).
fof(f1568,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != sk_c8
| sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1567,f1]) ).
fof(f1567,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(identity,sk_c8)
| sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1566,f1283]) ).
fof(f1566,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1565,f1293]) ).
fof(f1565,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1564,f1283]) ).
fof(f1564,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1563,f1283]) ).
fof(f1563,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1562,f1283]) ).
fof(f1562,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1561,f1283]) ).
fof(f1561,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1123,f1283]) ).
fof(f1560,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1295,f1293]) ).
fof(f1559,plain,
( sk_c1 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1558,f1283]) ).
fof(f1558,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1152,f1293]) ).
fof(f1301,plain,
( sk_c8 = multiply(inverse(identity),sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1299,f1283]) ).
fof(f1299,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1158,f1293]) ).
fof(f1293,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1285,f1139]) ).
fof(f1285,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f1133,f1283]) ).
fof(f1148,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f1133]) ).
fof(f1147,plain,
( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f61,f1133]) ).
fof(f1133,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f61,f119]) ).
fof(f1134,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f119]) ).
fof(f119,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f1123,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_4 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f213,f158,f61,f433,f436,f449,f14,f10,f12,f13,f15,f19,f21,f432,f20,f33,f31,f30,f28,f32,f961,f960,f959,f119,f8,f4,f6,f7,f9,f18,f16,f1122,f35]) ).
fof(f1122,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f213,f158,f61,f433,f436,f449,f14,f10,f12,f13,f15,f35,f19,f21,f432,f20,f33,f31,f30,f28,f32,f961,f960,f959,f119,f8,f4,f6,f7,f9,f18,f16]) ).
fof(f959,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f1,f2,f11,f3,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f213,f158,f61,f433,f436,f449,f432,f119,f21,f14,f10,f12,f13,f15,f35,f16,f18,f19]) ).
fof(f960,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f1,f2,f11,f3,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f213,f158,f61,f433,f436,f449,f432,f119,f14,f10,f12,f13,f15,f35,f16,f18,f19,f959,f21]) ).
fof(f961,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f213,f158,f61,f433,f436,f449,f14,f10,f12,f13,f15,f35,f16,f18,f19,f959,f21,f960,f119,f432,f20]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f119]) ).
fof(f213,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f35,f119]) ).
fof(f2325,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1952,f39]) ).
fof(f1952,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1951,f1581]) ).
fof(f1951,plain,
( sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1950,f39]) ).
fof(f1950,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1949,f1581]) ).
fof(f1949,plain,
( sk_c1 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1930]) ).
fof(f1930,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f612,f1139]) ).
fof(f612,plain,
( ! [X4] :
( sk_c1 != multiply(X4,identity)
| sk_c1 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl0_11
<=> ! [X4] :
( sk_c1 != multiply(X4,identity)
| sk_c1 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2254,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2253,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f17,f1,f2,f11,f3,f25,f181,f184,f26,f213,f158,f61,f436,f443,f449,f452,f19,f21,f20,f31,f32,f961,f960,f959,f8,f1111,f18,f16,f1122,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f194,f119,f1130,f1141,f1132,f1144,f1133,f4,f1159,f1139,f1142,f1158,f1175,f1176,f1129,f1131,f1189,f1162,f1172,f1201,f1204,f1207,f1216,f1226,f7,f432,f1174,f1421,f1422,f1424,f1425,f1418,f1430,f1431,f1419,f1427,f1420,f1197,f1653,f1199,f1667,f1666,f1672,f1670,f1673,f1675,f1651,f1678,f1680,f1665,f1686,f1687,f1681,f1700,f1699,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1220,f1218,f1208,f1205,f1202,f1842,f1155,f1829,f9,f1123,f1147,f6,f5,f1164,f1186,f1194,f1134,f1196,f1148,f1152,f33,f2127,f1574,f30,f2129,f28,f2130,f27,f2131,f2042,f2132,f24,f2133,f22,f2134,f23,f2135,f29,f2136,f2128,f2151,f2208,f2209,f2210,f2211,f2212,f189,f2219,f2220,f2225,f2221,f2233,f2227,f2228,f2237,f2239,f2242,f2246,f2248,f2251,f2252]) ).
fof(f2252,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2225,f2221]) ).
fof(f2251,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2220,f2221]) ).
fof(f2248,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2211,f2221]) ).
fof(f2246,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2209,f2221]) ).
fof(f2242,plain,
( sk_c1 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f189,f2221]) ).
fof(f2239,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2238,f2221]) ).
fof(f2238,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2230,f39]) ).
fof(f2230,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1139,f2221]) ).
fof(f2237,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2236,f2151]) ).
fof(f2236,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2235,f2221]) ).
fof(f2235,plain,
( sk_c6 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2234,f39]) ).
fof(f2234,plain,
( sk_c6 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2229,f2128]) ).
fof(f2229,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1133,f2221]) ).
fof(f2228,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1130,f2221]) ).
fof(f2227,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1129,f2221]) ).
fof(f2233,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2232,f2128]) ).
fof(f2232,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f2226,f2151]) ).
fof(f2226,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f119,f2221]) ).
fof(f2221,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f1220,f2151]) ).
fof(f2225,plain,
( identity != multiply(sk_c1,sk_c8)
| spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1155,f2128]) ).
fof(f2212,plain,
( sk_c1 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2159,f2128]) ).
fof(f2159,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1152,f2151]) ).
fof(f2210,plain,
( sk_c1 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2177,f2128]) ).
fof(f2177,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2130,f2151]) ).
fof(f2208,plain,
( sk_c1 = multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2185,f2128]) ).
fof(f2185,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2134,f2151]) ).
fof(f2151,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2150,f1139]) ).
fof(f2150,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_4
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1133,f2128]) ).
fof(f1155,plain,
( multiply(sk_c1,sk_c8) != sk_c7
| spl0_13 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1842,plain,
( identity = sk_c7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1201,f1418]) ).
fof(f1202,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1131,f1201]) ).
fof(f1205,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1203,f194]) ).
fof(f1203,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c7)
| spl0_13 ),
inference(superposition,[],[f61,f1201]) ).
fof(f1208,plain,
( identity = sk_c7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1206,f2]) ).
fof(f1206,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f61,f1205]) ).
fof(f1218,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1210,f1139]) ).
fof(f1210,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_4
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1133,f1208]) ).
fof(f1220,plain,
( sk_c8 = sk_c6
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f1212,f1]) ).
fof(f1212,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1152,f1208]) ).
fof(f1226,plain,
( sk_c8 = multiply(inverse(identity),sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f1224,f1208]) ).
fof(f1224,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1158,f1218]) ).
fof(f1216,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1205,f1208]) ).
fof(f1207,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f3,f1205]) ).
fof(f1204,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| spl0_13 ),
inference(superposition,[],[f3,f1201]) ).
fof(f1201,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| spl0_13 ),
inference(subsumption_resolution,[],[f7,f1155]) ).
fof(f2206,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2205,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2204,f2163]) ).
fof(f2163,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2162,f1581]) ).
fof(f2162,plain,
( identity = multiply(sk_c1,sk_c8)
| spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1156,f2128]) ).
fof(f2204,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2203,f1160]) ).
fof(f2203,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f639,f1581]) ).
fof(f639,plain,
( identity != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f638,f43]) ).
fof(f638,plain,
( identity != multiply(sk_c3,inverse(sk_c3))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f630,f181]) ).
fof(f630,plain,
( identity != multiply(sk_c8,sk_c1)
| identity != multiply(sk_c3,inverse(sk_c3))
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f609,f43]) ).
fof(f609,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X6,inverse(X6)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl0_10
<=> ! [X6] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(inverse(X6),sk_c1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2126,plain,
( spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2125]) ).
fof(f2125,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f609,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2124,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2123,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2122,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2122,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2048,f39]) ).
fof(f2048,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f635,plain,
( identity != identity
| identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_10 ),
inference(superposition,[],[f609,f2]) ).
fof(f2121,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2119,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2119,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f637,f39]) ).
fof(f637,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f2118,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2117,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f655,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f655,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f637,f39]) ).
fof(f2116,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2115]) ).
fof(f2115,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f645,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f645,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f644,f39]) ).
fof(f644,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_1
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f631,f181]) ).
fof(f631,plain,
( identity != multiply(sk_c8,sk_c1)
| identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f609,f39]) ).
fof(f2114,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2113,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2112,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2112,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1521,f39]) ).
fof(f1521,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f2111,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2110]) ).
fof(f2110,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f1541,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1541,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1521,f39]) ).
fof(f2109,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2108,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f1537,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1537,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f637,f39]) ).
fof(f2107,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2106,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2105,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2105,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1984,f39]) ).
fof(f1984,plain,
( identity != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f2104,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2103]) ).
fof(f2103,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f1993,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1993,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1521,f39]) ).
fof(f2102,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2101]) ).
fof(f2101,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2004,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2004,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f637,f39]) ).
fof(f2100,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2099]) ).
fof(f2099,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_10 ),
inference(global_subsumption,[],[f2007,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2007,plain,
( identity != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1984,f39]) ).
fof(f2098,plain,
( spl0_2
| spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2097,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_12 ),
inference(global_subsumption,[],[f1152,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2096,plain,
( ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1295,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2094,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2093]) ).
fof(f2093,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1605,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1605,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1593,f1283]) ).
fof(f1593,plain,
( sk_c1 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1280,f1581]) ).
fof(f2092,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2091,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1609,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1609,plain,
( sk_c1 != inverse(sk_c3)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f42,f1581]) ).
fof(f2090,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1633,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1633,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1629,f1283]) ).
fof(f1629,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1617,f1156]) ).
fof(f1617,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1613,f1]) ).
fof(f1613,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f3,f1595]) ).
fof(f1595,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1594,f1283]) ).
fof(f1594,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1584,f1293]) ).
fof(f1584,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f119,f1581]) ).
fof(f2088,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1595,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2086,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1626,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1626,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1291,f1581]) ).
fof(f2084,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2083]) ).
fof(f2083,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1581,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2082,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1599,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1599,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1598,f1293]) ).
fof(f1598,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1597,f1581]) ).
fof(f1597,plain,
( sk_c6 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1596,f39]) ).
fof(f1596,plain,
( sk_c6 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1589,f1283]) ).
fof(f1589,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1133,f1581]) ).
fof(f2080,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1614,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1614,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1611,f1581]) ).
fof(f1611,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1129,f1595]) ).
fof(f2078,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2077,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1601,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1601,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1600,f1581]) ).
fof(f1600,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1590,f39]) ).
fof(f1590,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1139,f1581]) ).
fof(f2076,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2075,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1628,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1628,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1617,f1595]) ).
fof(f2074,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2073]) ).
fof(f2073,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1616,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1616,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1615,f1581]) ).
fof(f1615,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1612,f39]) ).
fof(f1612,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f61,f1595]) ).
fof(f2072,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2071,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1901,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1901,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f119,f1581]) ).
fof(f2070,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1905,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1905,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1130,f1581]) ).
fof(f2068,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2067,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f1921,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f1921,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1920,f1581]) ).
fof(f1920,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1907,f39]) ).
fof(f1907,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1139,f1581]) ).
fof(f2066,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2065,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f2039,f2040,f189,f22,f24,f27,f28,f30,f33]) ).
fof(f2064,plain,
( spl0_2
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2063]) ).
fof(f2063,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f1574,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f2039,f2040,f189,f22,f24,f27,f28,f30]) ).
fof(f2062,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f2039,f2040,f189,f22,f24,f27,f28,f30]) ).
fof(f2060,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2059]) ).
fof(f2059,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f2039,f2040,f189,f22,f24,f27,f28]) ).
fof(f2058,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2057,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f28,f2039,f2040,f189,f22,f24,f27]) ).
fof(f2056,plain,
( spl0_2
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2055,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f2042,f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f28,f2039,f2040,f27,f189,f22,f24]) ).
fof(f2054,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2053,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f28,f2039,f2040,f27,f189,f22,f24]) ).
fof(f2052,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2051,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f28,f2039,f2040,f27,f24,f189,f22]) ).
fof(f2050,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| spl0_2
| spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f42,f33,f30,f28,f2039,f2040,f27,f24,f22,f189]) ).
fof(f2047,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f2046]) ).
fof(f2046,plain,
( $false
| spl0_7
| spl0_12 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f25,f26,f61,f436,f449,f19,f21,f20,f31,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f6,f5,f33,f2035,f30,f2037,f28,f2038,f27,f2041,f24,f2044,f22,f2045,f1151,f189]) ).
fof(f2034,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2033]) ).
fof(f2033,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2032,f1581]) ).
fof(f2032,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f2020,f39]) ).
fof(f2020,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1468,f1581]) ).
fof(f1468,plain,
( sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1460,f39]) ).
fof(f1460,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f689]) ).
fof(f689,plain,
( identity != identity
| sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_9 ),
inference(superposition,[],[f606,f2]) ).
fof(f606,plain,
( ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f605,plain,
( spl0_9
<=> ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2017,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2016,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f213,f158,f61,f436,f443,f449,f452,f469,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f18,f16,f1122,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1130,f1141,f1133,f4,f1159,f1139,f1158,f1175,f1176,f1129,f1162,f7,f1277,f1279,f1282,f1301,f432,f1559,f1560,f1568,f1569,f446,f1573,f1576,f1580,f1583,f1585,f1586,f1587,f1588,f1602,f1582,f1617,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1749,f1152,f9,f1848,f1123,f1147,f6,f1849,f1816,f1810,f1807,f1804,f5,f1855,f1797,f1164,f1186,f1194,f1134,f1196,f1148,f1293,f1291,f1283,f1280,f1156,f1616,f1628,f1601,f1614,f1599,f1626,f1595,f1605,f1581,f1914,f1915,f1904,f1905,f1921,f1988,f2001,f2013,f609]) ).
fof(f2013,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2012,f1582]) ).
fof(f2012,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2011,f1581]) ).
fof(f2011,plain,
( identity != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2010,f190]) ).
fof(f2010,plain,
( identity != multiply(sk_c2,inverse(sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f632,f1130]) ).
fof(f632,plain,
( identity != multiply(sk_c8,sk_c1)
| identity != multiply(sk_c2,inverse(sk_c2))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f609,f190]) ).
fof(f2001,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2000,f1582]) ).
fof(f2000,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f650,f1581]) ).
fof(f650,plain,
( identity != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f649,f190]) ).
fof(f649,plain,
( identity != multiply(sk_c2,inverse(sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f632,f181]) ).
fof(f1988,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1987,f1582]) ).
fof(f1987,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1546,f1581]) ).
fof(f1546,plain,
( identity != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1545,f190]) ).
fof(f1545,plain,
( identity != multiply(sk_c2,inverse(sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f632,f1130]) ).
fof(f1904,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1129,f1581]) ).
fof(f1915,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1903,f1582]) ).
fof(f1903,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f201,f1581]) ).
fof(f1914,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1902,f1582]) ).
fof(f1902,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f197,f1581]) ).
fof(f1855,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f7,f1156,f1279,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f9,f1848,f6,f1849,f5]) ).
fof(f1749,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X3,sk_c1)
| sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1748,f1581]) ).
fof(f1748,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X3,sk_c1)
| sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6))
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1747,f1581]) ).
fof(f1747,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X3)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X3,sk_c1)
| sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6))
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1746,f1581]) ).
fof(f1746,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c1)
| identity != multiply(X3,sk_c1)
| sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6))
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1745,f1581]) ).
fof(f1745,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c1)
| sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1744,f1581]) ).
fof(f1744,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X4,identity)
| sk_c1 != multiply(X5,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1743,f1581]) ).
fof(f1743,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X5,identity)
| sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c8)
| identity != multiply(inverse(X6),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1569,f1581]) ).
fof(f1602,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1591,f1283]) ).
fof(f1591,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1156,f1581]) ).
fof(f1588,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1130,f1581]) ).
fof(f1587,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1129,f1581]) ).
fof(f1586,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f201,f1581]) ).
fof(f1585,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f197,f1581]) ).
fof(f2015,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2014]) ).
fof(f2014,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f213,f158,f61,f436,f443,f449,f452,f469,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f18,f16,f1122,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1130,f1141,f1133,f4,f1159,f1139,f1158,f1175,f1176,f1129,f1162,f7,f1277,f1279,f1282,f1301,f432,f609,f1559,f1560,f1568,f1569,f446,f1573,f1576,f1580,f1583,f1585,f1586,f1587,f1588,f1602,f1582,f1617,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1749,f1152,f9,f1848,f1123,f1147,f6,f1849,f1816,f1810,f1807,f1804,f5,f1855,f1797,f1164,f1186,f1194,f1134,f1196,f1148,f1293,f1291,f1283,f1280,f1156,f1616,f1628,f1601,f1614,f1599,f1626,f1595,f1605,f1581,f1914,f1915,f1904,f1905,f1921,f1988,f2001,f2013]) ).
fof(f2009,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2008]) ).
fof(f2008,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2007,f1862]) ).
fof(f1862,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1156,f1851]) ).
fof(f2006,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2005,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f2004,f1862]) ).
fof(f2003,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2002,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f213,f158,f61,f436,f443,f449,f452,f469,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f18,f16,f1122,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1130,f1141,f1133,f4,f1159,f1139,f1158,f1175,f1176,f1129,f1162,f7,f1277,f1279,f1282,f1301,f432,f609,f1559,f1560,f1568,f1569,f446,f1573,f1576,f1580,f1583,f1585,f1586,f1587,f1588,f1602,f1582,f1617,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1749,f1152,f9,f1848,f1123,f1147,f6,f1849,f1816,f1810,f1807,f1804,f5,f1855,f1797,f1164,f1186,f1194,f1134,f1196,f1148,f1293,f1291,f1283,f1280,f1156,f1616,f1628,f1601,f1614,f1599,f1626,f1595,f1605,f1581,f1914,f1915,f1904,f1905,f1921,f1988,f2001]) ).
fof(f1999,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f1998,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f655,f1862]) ).
fof(f1997,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f1996,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f645,f1862]) ).
fof(f1995,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1994,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1993,f1862]) ).
fof(f1992,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1991]) ).
fof(f1991,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1541,f1862]) ).
fof(f1990,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1989,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f213,f158,f61,f436,f443,f449,f452,f469,f19,f21,f20,f33,f31,f30,f28,f32,f961,f960,f959,f8,f18,f16,f1122,f35,f15,f1124,f13,f1125,f12,f10,f1127,f14,f1128,f39,f119,f1130,f1141,f1133,f4,f1159,f1139,f1158,f1175,f1176,f1129,f1162,f7,f1277,f1279,f1282,f1301,f432,f609,f1559,f1560,f1568,f1569,f446,f1573,f1576,f1580,f1583,f1585,f1586,f1587,f1588,f1602,f1582,f1617,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f1749,f1152,f9,f1848,f1123,f1147,f6,f1849,f1816,f1810,f1807,f1804,f5,f1855,f1797,f1164,f1186,f1194,f1134,f1196,f1148,f1293,f1291,f1283,f1280,f1156,f1616,f1628,f1601,f1614,f1599,f1626,f1595,f1605,f1581,f1914,f1915,f1904,f1905,f1921,f1988]) ).
fof(f1986,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1985,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1537,f1862]) ).
fof(f1983,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1982,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1981,f1581]) ).
fof(f1981,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1948,f39]) ).
fof(f1948,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1935]) ).
fof(f1935,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f612,f1622]) ).
fof(f1622,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1621,f1609]) ).
fof(f1621,plain,
( sk_c1 = inverse(sk_c3)
| sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1620,f1581]) ).
fof(f1620,plain,
( sk_c1 = multiply(sk_c1,identity)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1619,f1581]) ).
fof(f1619,plain,
( sk_c8 = multiply(sk_c1,identity)
| sk_c8 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1583,f1582]) ).
fof(f1889,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1887,f1871]) ).
fof(f1871,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1861,f1]) ).
fof(f1861,plain,
( sk_c1 != multiply(identity,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1860,f1851]) ).
fof(f1860,plain,
( sk_c1 != multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1151,f1857]) ).
fof(f1857,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1856,f1139]) ).
fof(f1856,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f1133,f1851]) ).
fof(f1846,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
fof(f1845,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9,f1155]) ).
fof(f1844,plain,
( spl0_2
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1843,plain,
( $false
| spl0_2
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1842,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1841,plain,
( spl0_2
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1840,plain,
( $false
| spl0_2
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1202,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1839,plain,
( spl0_2
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1838,plain,
( $false
| spl0_2
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1205,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1837,plain,
( spl0_2
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| spl0_2
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1208,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1835,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1218,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1833,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| spl0_2
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1220,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1831,plain,
( spl0_2
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1830,plain,
( $false
| spl0_2
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1829,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1828,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1827,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6,f9]) ).
fof(f1826,plain,
( spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1825]) ).
fof(f1825,plain,
( $false
| spl0_2
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1152,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6]) ).
fof(f1824,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1823]) ).
fof(f1823,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_13 ),
inference(global_subsumption,[],[f1123,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6]) ).
fof(f1822,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1821]) ).
fof(f1821,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_13 ),
inference(global_subsumption,[],[f1147,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6]) ).
fof(f1820,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5,f6]) ).
fof(f1818,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1817,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1816,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1815,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1814]) ).
fof(f1814,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f1813,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1812,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1811,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1810,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1809,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1808,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1807,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1806,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1805,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1804,f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1803,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1802,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42,f5]) ).
fof(f1801,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1800,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782,f42]) ).
fof(f1799,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1798]) ).
fof(f1798,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| spl0_13 ),
inference(global_subsumption,[],[f1797,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1796,plain,
( ~ spl0_1
| spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
fof(f1795,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f1164,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1794,plain,
( ~ spl0_1
| spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1793,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f1186,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1792,plain,
( ~ spl0_1
| spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1791,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f1194,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1790,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1789,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_13 ),
inference(global_subsumption,[],[f1134,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1788,plain,
( ~ spl0_1
| spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1787,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f1196,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1786,plain,
( spl0_2
| ~ spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1785,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_13 ),
inference(global_subsumption,[],[f1148,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f436,f449,f19,f21,f20,f33,f31,f30,f28,f32,f8,f6,f9,f18,f16,f35,f15,f13,f12,f10,f14,f4,f1155,f1201,f1204,f7,f432,f42,f433,f1732,f1403,f1736,f1735,f1733,f1728,f1777,f1782]) ).
fof(f1784,plain,
( spl0_10
| spl0_9
| spl0_11
| spl0_11
| ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1749,f1154,f1150,f118,f37,f611,f611,f605,f608]) ).
fof(f1742,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1741,plain,
( $false
| spl0_14 ),
inference(subsumption_resolution,[],[f1735,f1480]) ).
fof(f1480,plain,
( identity != inverse(identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f1478,plain,
( spl0_14
<=> identity = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1740,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1739,plain,
( $false
| spl0_14 ),
inference(subsumption_resolution,[],[f1733,f1480]) ).
fof(f1557,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1556]) ).
fof(f1556,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1555,f1310]) ).
fof(f1310,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f1130,f1294]) ).
fof(f1555,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1554,f1160]) ).
fof(f1554,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1553,f1294]) ).
fof(f1553,plain,
( identity != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1552,f43]) ).
fof(f1552,plain,
( identity != multiply(sk_c3,inverse(sk_c3))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f630,f1130]) ).
fof(f1551,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1549,f1310]) ).
fof(f1549,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1548,f1160]) ).
fof(f1548,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1547,f1047]) ).
fof(f1547,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1546,f1294]) ).
fof(f1544,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1543,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1542,f1310]) ).
fof(f1542,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1541,f1294]) ).
fof(f1540,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1539,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1538,f1310]) ).
fof(f1538,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1537,f1294]) ).
fof(f1536,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1535,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1534,f1310]) ).
fof(f1534,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1533,f1160]) ).
fof(f1533,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f639,f1294]) ).
fof(f1532,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1530,f1310]) ).
fof(f1530,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1529,f1160]) ).
fof(f1529,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1528,f1047]) ).
fof(f1528,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f650,f1294]) ).
fof(f1527,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1525,f1310]) ).
fof(f1525,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f655,f1294]) ).
fof(f1524,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1522,f1310]) ).
fof(f1522,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f645,f1294]) ).
fof(f1520,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1518,f1294]) ).
fof(f1518,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f1508,f39]) ).
fof(f1508,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1507,f1294]) ).
fof(f1507,plain,
( sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1506,f39]) ).
fof(f1506,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1505,f1294]) ).
fof(f1505,plain,
( sk_c1 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1493]) ).
fof(f1493,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f612,f1139]) ).
fof(f1485,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1476,f611,f1482,f1478]) ).
fof(f1482,plain,
( spl0_15
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1476,plain,
( identity != sk_c1
| identity != inverse(identity)
| ~ spl0_11 ),
inference(inner_rewriting,[],[f849]) ).
fof(f849,plain,
( identity != sk_c1
| sk_c1 != inverse(identity)
| ~ spl0_11 ),
inference(superposition,[],[f612,f1]) ).
fof(f1474,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1472,f1294]) ).
fof(f1472,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f1464,f39]) ).
fof(f1464,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f711,f1294]) ).
fof(f711,plain,
( sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f695,f39]) ).
fof(f695,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f689]) ).
fof(f1458,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1456,f1]) ).
fof(f1456,plain,
( sk_c1 != multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1455,f1283]) ).
fof(f1455,plain,
( sk_c1 != multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1454,f1294]) ).
fof(f1454,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_12 ),
inference(forward_demodulation,[],[f1151,f1177]) ).
fof(f1177,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f1145,f1133]) ).
fof(f1437,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1401,f1154,f1150,f188,f118,f41,f37,f611,f611,f608,f605]) ).
fof(f1401,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1400,f1294]) ).
fof(f1400,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1399,f1283]) ).
fof(f1399,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1398,f1294]) ).
fof(f1398,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1397,f1283]) ).
fof(f1397,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1396,f1283]) ).
fof(f1396,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1395,f1283]) ).
fof(f1395,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1394,f1294]) ).
fof(f1394,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1393,f1283]) ).
fof(f1393,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1392,f1294]) ).
fof(f1392,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1391,f1294]) ).
fof(f1391,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1390,f1294]) ).
fof(f1390,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1389,f1294]) ).
fof(f1389,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_4
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1123,f1152]) ).
fof(f1276,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1275,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(global_subsumption,[],[f1274,f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f61,f433,f436,f443,f449,f452,f445,f446,f469,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1111,f1112,f1113,f6,f7,f9,f1114,f1117,f1118,f1119,f1120,f18,f1121,f16,f35,f15,f1124,f13,f1125,f12,f1126,f10,f1127,f14,f1128,f39,f194,f1116,f1135,f1137,f1130,f1141,f1132,f1144,f1138,f1146,f4,f1155,f1139,f1161,f1164,f1160,f1167,f1168,f1170,f1142,f1174,f1145,f1179,f1180,f1129,f1186,f1131,f1189,f1192,f1162,f1194,f1196,f1172,f1197,f1199,f1201,f1202,f1204,f1205,f1207,f1208,f1217,f1214,f1216,f1219,f1244,f1245,f1250,f1252,f1255,f1234,f1235,f1261,f1263,f1266,f1269]) ).
fof(f1269,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1241,f1208]) ).
fof(f1241,plain,
( sk_c7 != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1155,f1219]) ).
fof(f1266,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1265,f1219]) ).
fof(f1265,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1264,f39]) ).
fof(f1264,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1239,f1208]) ).
fof(f1239,plain,
( sk_c1 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1145,f1219]) ).
fof(f1263,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1262,f1219]) ).
fof(f1262,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1238,f39]) ).
fof(f1238,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1139,f1219]) ).
fof(f1261,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1237,f1208]) ).
fof(f1237,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1138,f1219]) ).
fof(f1235,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1130,f1219]) ).
fof(f1234,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1129,f1219]) ).
fof(f1255,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1254,f1160]) ).
fof(f1254,plain,
( sk_c3 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1253,f1219]) ).
fof(f1253,plain,
( sk_c3 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1233,f39]) ).
fof(f1233,plain,
( sk_c3 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f466,f1219]) ).
fof(f1252,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1251,f1160]) ).
fof(f1251,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1232,f1047]) ).
fof(f1232,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f201,f1219]) ).
fof(f1250,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1249,f1160]) ).
fof(f1249,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1231,f1047]) ).
fof(f1231,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f197,f1219]) ).
fof(f1245,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1229,f1160]) ).
fof(f1229,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f64,f1219]) ).
fof(f1244,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1228,f1160]) ).
fof(f1228,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f45,f1219]) ).
fof(f1219,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1211,f1139]) ).
fof(f1211,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1145,f1208]) ).
fof(f1214,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1168,f1208]) ).
fof(f1217,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1209,f1160]) ).
fof(f1209,plain,
( sk_c8 = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f1116,f1208]) ).
fof(f1180,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f3,f1145]) ).
fof(f1179,plain,
( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c8)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f61,f1145]) ).
fof(f1170,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f3,f1168]) ).
fof(f1168,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f1116,f1160]) ).
fof(f1146,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f3,f1138]) ).
fof(f1137,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f3,f1116]) ).
fof(f1135,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f64,f1116]) ).
fof(f1126,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f26,f190,f197,f201,f61,f433,f436,f449,f14,f10,f445,f446,f469,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1112,f4,f6,f7,f9,f1114,f1116,f1117,f1118,f1119,f1120,f18,f1121,f16,f35,f15,f13,f12]) ).
fof(f1121,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f26,f190,f197,f201,f61,f433,f436,f449,f14,f10,f12,f13,f15,f445,f446,f469,f35,f16,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1112,f4,f6,f7,f9,f1114,f1116,f1117,f1118,f1119,f1120,f18]) ).
fof(f1120,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f26,f190,f197,f201,f61,f433,f436,f449,f14,f10,f12,f13,f15,f445,f446,f469,f35,f16,f18,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1112,f4,f6,f7,f9,f1114,f1116,f1117,f1118,f1119]) ).
fof(f1119,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f33,f1047]) ).
fof(f1118,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_7 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f26,f190,f197,f201,f61,f433,f436,f449,f14,f10,f12,f13,f15,f445,f446,f469,f35,f16,f18,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1112,f4,f6,f7,f9,f1114,f1116,f1117]) ).
fof(f1117,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f31,f1047]) ).
fof(f1114,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f28,f1047]) ).
fof(f1113,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f1112,f23,f17,f29,f5,f1,f2,f11,f3,f27,f25,f24,f22,f26,f61,f433,f436,f449,f14,f10,f12,f13,f15,f35,f16,f18,f19,f21,f432,f20,f33,f31,f30,f28,f9,f7,f6,f4,f32,f194,f8,f1111]) ).
fof(f1112,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c5 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f32,f1047]) ).
fof(f1274,plain,
( sk_c1 = multiply(inverse(identity),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f1243,f1208]) ).
fof(f1243,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13 ),
inference(superposition,[],[f1181,f1219]) ).
fof(f1181,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f1158,f1177]) ).
fof(f1271,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f43,f45,f3,f64,f27,f25,f24,f22,f181,f184,f26,f190,f197,f201,f61,f433,f436,f443,f449,f452,f445,f446,f469,f19,f21,f432,f20,f33,f31,f30,f28,f32,f466,f1044,f1046,f1047,f8,f1111,f1112,f1113,f6,f7,f9,f1114,f1117,f1118,f1119,f1120,f18,f1121,f16,f35,f15,f1124,f13,f1125,f12,f1126,f10,f1127,f14,f1128,f39,f194,f1116,f1135,f1137,f1130,f1141,f1132,f1144,f1138,f1146,f4,f1155,f1139,f1161,f1164,f1160,f1167,f1168,f1170,f1142,f1174,f1145,f1179,f1180,f1129,f1186,f1131,f1189,f1192,f1162,f1194,f1196,f1172,f1197,f1199,f1201,f1202,f1204,f1205,f1207,f1208,f1217,f1214,f1216,f1219,f1244,f1245,f1250,f1252,f1255,f1234,f1235,f1261,f1263,f1266,f1269]) ).
fof(f1248,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f1246,f1155]) ).
fof(f1246,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(forward_demodulation,[],[f1230,f1177]) ).
fof(f1230,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_13 ),
inference(superposition,[],[f119,f1219]) ).
fof(f1157,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f4,f1154,f1150]) ).
fof(f1110,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1108,f1069]) ).
fof(f1069,plain,
( sk_c8 = inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f43,f1064]) ).
fof(f1064,plain,
( sk_c8 = sk_c3
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f1052,f466]) ).
fof(f1052,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1008,f1028]) ).
fof(f1028,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1026,f2]) ).
fof(f1026,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f1014]) ).
fof(f1014,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1012,f973]) ).
fof(f973,plain,
( sk_c8 = inverse(sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f972,f162]) ).
fof(f162,plain,
( sk_c8 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f139,f142]) ).
fof(f142,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f138]) ).
fof(f138,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f134,f66]) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f49]) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f38]) ).
fof(f38,plain,
( sk_c8 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f134,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(superposition,[],[f57,f48]) ).
fof(f48,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| spl0_1 ),
inference(subsumption_resolution,[],[f10,f38]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f49]) ).
fof(f139,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f135,f49]) ).
fof(f135,plain,
( multiply(sk_c3,sk_c7) = multiply(sk_c8,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f105]) ).
fof(f105,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f96,f75]) ).
fof(f75,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f55,f66]) ).
fof(f55,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f48]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f91]) ).
fof(f91,plain,
( sk_c6 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f90,f48]) ).
fof(f90,plain,
( multiply(sk_c7,sk_c8) = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f70]) ).
fof(f70,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| spl0_1 ),
inference(superposition,[],[f65,f50]) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f38]) ).
fof(f65,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f59,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f47]) ).
fof(f47,plain,
( identity = multiply(sk_c5,sk_c4)
| spl0_1 ),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
( sk_c5 = inverse(sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f14,f38]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f66]) ).
fof(f56,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f38]) ).
fof(f972,plain,
( sk_c6 = inverse(sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f46,f91]) ).
fof(f1012,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f991]) ).
fof(f991,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f990,f162]) ).
fof(f990,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f954,f91]) ).
fof(f954,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| spl0_1 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f61,f433,f436,f449,f432,f21,f19,f18,f16,f15,f38,f46,f14,f951,f10,f952,f12,f953,f13]) ).
fof(f953,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl0_1 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f61,f433,f436,f449,f432,f21,f19,f18,f16,f15,f13,f38,f46,f14,f951,f10,f952,f12]) ).
fof(f952,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| spl0_1 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f61,f433,f436,f449,f432,f21,f19,f18,f16,f15,f13,f12,f38,f46,f14,f951,f10]) ).
fof(f951,plain,
( sk_c5 = inverse(sk_c4)
| spl0_1 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f26,f61,f433,f436,f449,f432,f21,f19,f18,f16,f15,f13,f12,f10,f38,f46,f14]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c3,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f57,f55]) ).
fof(f85,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| spl0_1 ),
inference(subsumption_resolution,[],[f35,f48]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f70]) ).
fof(f60,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f50]) ).
fof(f1008,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f61,f984]) ).
fof(f984,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f119,f162]) ).
fof(f1108,plain,
( sk_c8 != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1091,f1069]) ).
fof(f1091,plain,
( sk_c8 != inverse(inverse(sk_c8))
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1089]) ).
fof(f1089,plain,
( identity != identity
| sk_c8 != inverse(inverse(sk_c8))
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1048,f2]) ).
fof(f1048,plain,
( ! [X3] :
( identity != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f126,f1028]) ).
fof(f126,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_6
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1106,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1104,f973]) ).
fof(f1104,plain,
( sk_c8 != inverse(sk_c4)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1087,f1028]) ).
fof(f1087,plain,
( identity != sk_c7
| sk_c8 != inverse(sk_c4)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1048,f991]) ).
fof(f1103,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1092,f43]) ).
fof(f1092,plain,
( sk_c8 != inverse(sk_c3)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1086]) ).
fof(f1086,plain,
( identity != identity
| sk_c8 != inverse(sk_c3)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1048,f1058]) ).
fof(f1058,plain,
( identity = multiply(sk_c3,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1056,f1028]) ).
fof(f1056,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f991,f1054]) ).
fof(f1054,plain,
( sk_c3 = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1023,f466]) ).
fof(f1023,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f983]) ).
fof(f983,plain,
( identity = multiply(sk_c8,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2,f973]) ).
fof(f1099,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1098,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1097,f1069]) ).
fof(f1097,plain,
( sk_c8 != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1084,f1028]) ).
fof(f1084,plain,
( identity != sk_c7
| sk_c8 != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f1048,f984]) ).
fof(f1096,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1093,f1069]) ).
fof(f1093,plain,
( sk_c8 != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1083]) ).
fof(f1083,plain,
( identity != identity
| sk_c8 != inverse(sk_c8)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1048,f1034]) ).
fof(f1034,plain,
( identity = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f64,f1031]) ).
fof(f1031,plain,
( sk_c8 = multiply(sk_c3,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f953,f1028]) ).
fof(f1021,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1020,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1019,f43]) ).
fof(f1019,plain,
( sk_c8 != inverse(sk_c3)
| spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1015]) ).
fof(f1015,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f123,f953]) ).
fof(f123,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_5
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f950,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936,f38]) ).
fof(f936,plain,
( sk_c8 = inverse(sk_c1)
| spl0_8 ),
inference(subsumption_resolution,[],[f14,f193]) ).
fof(f455,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| spl0_8 ),
inference(superposition,[],[f61,f204]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c1),multiply(sk_c7,X0))
| spl0_8 ),
inference(superposition,[],[f61,f206]) ).
fof(f785,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl0_8 ),
inference(subsumption_resolution,[],[f20,f193]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl0_8 ),
inference(superposition,[],[f3,f208]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| spl0_8 ),
inference(superposition,[],[f3,f204]) ).
fof(f208,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl0_8 ),
inference(subsumption_resolution,[],[f32,f193]) ).
fof(f204,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| spl0_8 ),
inference(subsumption_resolution,[],[f8,f193]) ).
fof(f193,plain,
( sk_c5 != inverse(sk_c4)
| spl0_8 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f948,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| spl0_1
| spl0_8 ),
inference(subsumption_resolution,[],[f46,f193]) ).
fof(f946,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f163,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936]) ).
fof(f163,plain,
( sk_c8 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f142,f139]) ).
fof(f944,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f91,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936]) ).
fof(f942,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f162,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936]) ).
fof(f940,plain,
( spl0_1
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_8 ),
inference(global_subsumption,[],[f123,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936]) ).
fof(f938,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10,f936]) ).
fof(f935,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12,f10]) ).
fof(f933,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13,f12]) ).
fof(f931,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15,f13]) ).
fof(f929,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f928,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455,f15]) ).
fof(f927,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f259,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f259,plain,
( identity = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f251,f45]) ).
fof(f251,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f210,f226]) ).
fof(f226,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c1,identity)
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f206,f45]) ).
fof(f925,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f260,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f260,plain,
( identity = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f252,f197]) ).
fof(f252,plain,
( multiply(sk_c8,sk_c2) = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f210,f227]) ).
fof(f227,plain,
( multiply(sk_c1,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f206,f197]) ).
fof(f923,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f220,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f206,f64]) ).
fof(f921,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f920,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f221,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f206,f201]) ).
fof(f919,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f241,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f239,f3]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f3,f226]) ).
fof(f917,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f916,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f244,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f242,f3]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f3,f227]) ).
fof(f915,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f253,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f201,f210]) ).
fof(f913,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f912]) ).
fof(f912,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f214,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f201,f208]) ).
fof(f911,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f910,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f445,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f909,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f446,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f907,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f905,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f905,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f447,f190]) ).
fof(f447,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c2),multiply(sk_c8,X0))
| spl0_8 ),
inference(superposition,[],[f61,f210]) ).
fof(f904,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f903,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441,f455]) ).
fof(f902,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f901,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f466,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f900,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f467,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f467,plain,
( sk_c3 = multiply(inverse(sk_c7),multiply(sk_c1,identity))
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f61,f226]) ).
fof(f898,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f469,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f896,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f895,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f470,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f470,plain,
( sk_c2 = multiply(inverse(sk_c7),multiply(sk_c1,identity))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f61,f227]) ).
fof(f894,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f893,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f456,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f456,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f61,f209]) ).
fof(f892,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f457,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f457,plain,
( sk_c8 = multiply(inverse(sk_c7),multiply(sk_c1,sk_c7))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f61,f223]) ).
fof(f223,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7)
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f206,f209]) ).
fof(f890,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785,f441]) ).
fof(f888,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f887,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f256,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785]) ).
fof(f256,plain,
( sk_c7 = multiply(sk_c2,multiply(sk_c1,sk_c7))
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f248,f209]) ).
fof(f248,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c2,multiply(sk_c1,sk_c7))
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f210,f223]) ).
fof(f886,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f885,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f884,f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785]) ).
fof(f884,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c1,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f35,f223]) ).
fof(f883,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16,f785]) ).
fof(f881,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18,f16]) ).
fof(f879,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f878,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f16,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19,f18]) ).
fof(f877,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f876,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f18,f16,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21,f19]) ).
fof(f875,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f19,f18,f16,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432,f21]) ).
fof(f873,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f872,plain,
( $false
| spl0_1
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f119,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f871,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f38,f46,f47,f48,f49,f50,f51,f3,f60,f65,f70,f73,f55,f56,f85,f57,f133,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f869,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f868,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f867,f525]) ).
fof(f525,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f513,f309]) ).
fof(f309,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f184,f289]) ).
fof(f289,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f282,f181]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f201,f266]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| spl0_8 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f265,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,multiply(identity,X0)))
| ~ spl0_1
| spl0_8 ),
inference(forward_demodulation,[],[f264,f3]) ).
fof(f264,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(multiply(sk_c1,identity),X0))
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f3,f255]) ).
fof(f255,plain,
( identity = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_1
| spl0_8 ),
inference(forward_demodulation,[],[f247,f181]) ).
fof(f247,plain,
( multiply(sk_c8,sk_c1) = multiply(sk_c2,multiply(sk_c1,identity))
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f210,f222]) ).
fof(f222,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f206,f181]) ).
fof(f513,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f205,f494]) ).
fof(f494,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_8 ),
inference(forward_demodulation,[],[f460,f2]) ).
fof(f460,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f61,f205]) ).
fof(f205,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f184,f204]) ).
fof(f867,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f858,f39]) ).
fof(f858,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f857,f525]) ).
fof(f857,plain,
( sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f846,f334]) ).
fof(f334,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f309,f263]) ).
fof(f263,plain,
( multiply(sk_c1,identity) = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f201,f255]) ).
fof(f846,plain,
( sk_c1 != multiply(sk_c1,identity)
| sk_c1 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f612,f263]) ).
fof(f816,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f815,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f814,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f814,plain,
( identity != multiply(sk_c1,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f813,f494]) ).
fof(f813,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f120,f525]) ).
fof(f812,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f810,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f810,plain,
( identity = multiply(sk_c1,sk_c6)
| identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f809,f494]) ).
fof(f809,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f808,f282]) ).
fof(f808,plain,
( identity = multiply(sk_c5,sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f807,f494]) ).
fof(f807,plain,
( sk_c7 = multiply(sk_c5,sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f21,f525]) ).
fof(f806,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f804,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f804,plain,
( identity = multiply(sk_c1,sk_c6)
| identity = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f803,f494]) ).
fof(f803,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| identity = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f802,f282]) ).
fof(f802,plain,
( identity = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| spl0_8 ),
inference(forward_demodulation,[],[f19,f494]) ).
fof(f796,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f794,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f794,plain,
( sk_c1 = sk_c6
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f793,f1]) ).
fof(f793,plain,
( sk_c6 = multiply(identity,sk_c1)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f792,f494]) ).
fof(f792,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f791,f525]) ).
fof(f791,plain,
( identity = multiply(sk_c1,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f790,f494]) ).
fof(f790,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f16,f282]) ).
fof(f789,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f787,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f787,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f786,f494]) ).
fof(f786,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f785,f525]) ).
fof(f784,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f782,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f782,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != sk_c6
| sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f781,f334]) ).
fof(f781,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c1,identity)
| sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f780,f494]) ).
fof(f780,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c1,sk_c7)
| sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f779,f223]) ).
fof(f779,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f778,f525]) ).
fof(f778,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f777,f494]) ).
fof(f777,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f776,f525]) ).
fof(f776,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f775,f494]) ).
fof(f775,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f774,f494]) ).
fof(f774,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f773,f494]) ).
fof(f773,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f772,f525]) ).
fof(f772,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f771,f494]) ).
fof(f771,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(inverse(X6),sk_c1)
| identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f770,f525]) ).
fof(f770,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f769,f494]) ).
fof(f769,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c1,sk_c6)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f768,f282]) ).
fof(f768,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f767,f525]) ).
fof(f767,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f766,f525]) ).
fof(f766,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f35,f525]) ).
fof(f731,plain,
( spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f433,f436,f449,f432]) ).
fof(f729,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f628,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f120,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f26,f193,f204,f208,f206,f210,f61,f432,f433,f436,f449]) ).
fof(f628,plain,
( sk_c1 = multiply(inverse(inverse(inverse(identity))),sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f61,f614]) ).
fof(f614,plain,
( sk_c1 = multiply(inverse(inverse(identity)),sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f61,f599]) ).
fof(f599,plain,
( sk_c1 = multiply(inverse(identity),sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f488,f494]) ).
fof(f488,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f453,f334]) ).
fof(f453,plain,
( sk_c1 = multiply(inverse(sk_c7),multiply(sk_c1,identity))
| ~ spl0_1
| spl0_8 ),
inference(superposition,[],[f61,f222]) ).
fof(f727,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f725,f525]) ).
fof(f725,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f712,f39]) ).
fof(f712,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f711,f525]) ).
fof(f658,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f656,f289]) ).
fof(f656,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f655,f525]) ).
fof(f654,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f652,f289]) ).
fof(f652,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f651,f349]) ).
fof(f349,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f327,f308]) ).
fof(f308,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f266,f289]) ).
fof(f327,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f266,f294]) ).
fof(f294,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f282,f197]) ).
fof(f651,plain,
( identity != multiply(sk_c2,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f650,f525]) ).
fof(f648,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f646,f289]) ).
fof(f646,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f645,f525]) ).
fof(f643,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f641,f289]) ).
fof(f641,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f640,f342]) ).
fof(f342,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f323,f308]) ).
fof(f323,plain,
( sk_c3 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f266,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f282,f45]) ).
fof(f640,plain,
( identity != multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f639,f525]) ).
fof(f613,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_11
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f578,f192,f188,f118,f37,f611,f611,f608,f605]) ).
fof(f578,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f577,f322]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f321,f184]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f318,f282]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f158,f315]) ).
fof(f315,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f312,f208]) ).
fof(f312,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f266,f292]) ).
fof(f292,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f282,f119]) ).
fof(f577,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(sk_c7,sk_c8)
| sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f576,f315]) ).
fof(f576,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f575,f525]) ).
fof(f575,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,identity)
| sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f574,f494]) ).
fof(f574,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f573,f525]) ).
fof(f573,plain,
( ! [X3,X6,X4,X5] :
( sk_c8 != multiply(X4,identity)
| identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f572,f494]) ).
fof(f572,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f571,f494]) ).
fof(f571,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f570,f494]) ).
fof(f570,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c1)
| identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f569,f525]) ).
fof(f569,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f568,f494]) ).
fof(f568,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(inverse(X6),sk_c1)
| sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f567,f525]) ).
fof(f567,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f566,f525]) ).
fof(f566,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f565,f525]) ).
fof(f565,plain,
( ! [X3,X6,X4,X5] :
( sk_c1 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f213,f525]) ).
fof(f212,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f209,f199]) ).
fof(f199,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f198,f20,f23,f17,f29,f5,f19,f21,f18,f16,f35,f1,f2,f11,f3,f61,f116,f171,f178,f33,f31,f30,f28,f9,f7,f6,f4,f32,f27,f25,f24,f22,f15,f13,f12,f10,f8,f14,f39,f182,f181,f184,f26,f193]) ).
fof(f182,plain,
( multiply(sk_c1,sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f180,f39]) ).
fof(f180,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f116,f39]) ).
fof(f178,plain,
( identity != sk_c7
| identity != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_3 ),
inference(inner_rewriting,[],[f171]) ).
fof(f171,plain,
( identity != sk_c7
| sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_3 ),
inference(superposition,[],[f116,f2]) ).
fof(f116,plain,
( ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_3
<=> ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f198,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f196,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c2,inverse(sk_c2))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f116,f190]) ).
fof(f195,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f26,f192,f188]) ).
fof(f177,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f175,f50]) ).
fof(f175,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f174,f46]) ).
fof(f174,plain,
( sk_c7 != multiply(sk_c4,inverse(sk_c4))
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f170,f51]) ).
fof(f170,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c4,inverse(sk_c4))
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f116,f46]) ).
fof(f155,plain,
( spl0_1
| ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f153,f120]) ).
fof(f153,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f151,f138]) ).
fof(f151,plain,
( multiply(sk_c8,sk_c6) = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f149]) ).
fof(f149,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f145,f99]) ).
fof(f99,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f70,f91]) ).
fof(f145,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f55,f142]) ).
fof(f127,plain,
( spl0_3
| ~ spl0_4
| spl0_5
| spl0_5
| spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f85,f37,f125,f122,f122,f118,f115]) ).
fof(f44,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f41,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:35:33 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (26432)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (26435)WARNING: value z3 for option sas not known
% 0.15/0.37 % (26435)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)
% 0.15/0.38 % (26433)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (26434)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (26436)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (26437)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)
% 0.15/0.38 % (26438)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)
% 0.15/0.38 % (26439)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [4]
% 0.21/0.43 % (26435)First to succeed.
% 0.21/0.44 % (26435)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (26435)------------------------------
% 0.21/0.45 % (26435)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (26435)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (26435)Memory used [KB]: 1862
% 0.21/0.45 % (26435)Time elapsed: 0.072 s
% 0.21/0.45 % (26435)Instructions burned: 241 (million)
% 0.21/0.45 % (26435)------------------------------
% 0.21/0.45 % (26435)------------------------------
% 0.21/0.45 % (26432)Success in time 0.093 s
%------------------------------------------------------------------------------