TSTP Solution File: GRP241-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP241-1 : 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 : n023.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 11:54:17 EDT 2024
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 49
% Syntax : Number of formulae : 856 ( 155 unt; 0 def)
% Number of atoms : 2821 (1036 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 3623 (1658 ~;1955 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 529 ( 529 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3937,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f328,f403,f1481,f1599,f1864,f1895,f3090,f3128,f3171,f3208,f3210,f3212,f3215,f3218,f3221,f3223,f3226,f3228,f3230,f3232,f3234,f3236,f3238,f3241,f3243,f3248,f3250,f3252,f3256,f3258,f3263,f3266,f3268,f3270,f3272,f3274,f3276,f3278,f3280,f3282,f3284,f3286,f3288,f3290,f3292,f3294,f3296,f3298,f3300,f3303,f3305,f3308,f3310,f3312,f3314,f3316,f3319,f3321,f3323,f3328,f3331,f3333,f3336,f3544,f3548,f3550,f3562,f3568,f3571,f3824,f3846,f3851,f3853,f3855,f3857,f3863,f3869,f3936]) ).
fof(f3936,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f3935]) ).
fof(f3935,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(global_subsumption,[],[f34,f1,f2,f4,f3,f65,f225,f41,f35,f12,f7,f6,f5,f8,f45,f352,f355,f353,f351,f360,f376,f378,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f37,f36,f33,f18,f38,f23,f21,f1220,f1365,f1996,f2005,f2051,f2019,f2023,f2032,f2153,f2161,f2050,f2044,f2010,f2002,f1998,f1520,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f22,f17,f32,f1007,f24,f28,f27,f1133,f3739,f3745,f3746,f3768,f3772,f3774,f3765,f3762,f3809,f3881,f3882,f31,f29,f30,f9,f3889,f3895,f3896,f2164,f2180,f2179,f2156,f2176,f2152,f3898,f3899,f1202,f2006,f2000,f1991,f1989,f1305,f1943,f1938,f1937,f3900,f1929,f1506,f3902,f3904,f3906,f3908,f769,f748,f718,f707,f3909,f3910,f668,f11,f10,f368,f362,f16,f14,f15,f20,f19,f3776,f3744,f1942,f1936,f1940,f2163,f2157,f1939,f2053,f26,f2022,f2018,f1397,f1080,f1941,f25,f2008,f2049,f809,f397]) ).
fof(f397,plain,
( sk_c8 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f809,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f677,f45]) ).
fof(f2049,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2015,f709]) ).
fof(f2015,plain,
( ! [X0] : multiply(sk_c8,inverse(inverse(multiply(sk_c7,X0)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1127,f1365]) ).
fof(f2008,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1219,f1365]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f1941,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f65,f1220]) ).
fof(f1080,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f351,f1035]) ).
fof(f1397,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f351,f1039]) ).
fof(f2018,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f65,f1365]) ).
fof(f2022,plain,
( ! [X0] : multiply(X0,sk_c8) = inverse(multiply(sk_c7,inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f677,f1365]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f2053,plain,
( ! [X0] : multiply(inverse(multiply(sk_c7,inverse(X0))),sk_c7) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2021,f45]) ).
fof(f2021,plain,
( ! [X0] : multiply(inverse(multiply(sk_c7,inverse(X0))),inverse(sk_c8)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1039,f1365]) ).
fof(f1939,plain,
( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1035,f1220]) ).
fof(f2157,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1127,f2032]) ).
fof(f2163,plain,
( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1219,f2032]) ).
fof(f1940,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c7,inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f778,f1220]) ).
fof(f1936,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1220,f3]) ).
fof(f1942,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c7,X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1220]) ).
fof(f3744,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1133,f351]) ).
fof(f3776,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1220,f1133]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f361,f1]) ).
fof(f361,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f353]) ).
fof(f368,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f65,f351]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f668,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f235,f45]) ).
fof(f3910,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1 ),
inference(global_subsumption,[],[f34,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f16,f37,f36,f33,f18,f38,f23,f21,f1220,f1936,f1939,f1940,f1942,f1365,f1996,f2005,f2051,f2019,f2023,f2032,f2153,f2157,f2161,f2163,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2049,f2044,f2010,f2008,f2002,f1998,f1520,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f19,f14,f15,f20,f22,f17,f32,f1007,f24,f26,f28,f27,f25,f1133,f3739,f3745,f3746,f3768,f3772,f3774,f3765,f3762,f3809,f3881,f3882,f31,f29,f30,f9,f3889,f3895,f3896,f2164,f2180,f2179,f2156,f2176,f2152,f3898,f3899,f1202,f2006,f2000,f1991,f1989,f1305,f1943,f1938,f1937,f3900,f1929,f1506,f3902,f3904,f3906,f3908,f769,f748,f718,f707,f3909]) ).
fof(f3909,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f41,f45]) ).
fof(f707,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f676,f353]) ).
fof(f718,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f353,f676]) ).
fof(f748,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f709,f45]) ).
fof(f769,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f674,f45]) ).
fof(f3908,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3907,f676]) ).
fof(f3907,plain,
( inverse(sk_c7) = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1384,f1007]) ).
fof(f1384,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1039,f360]) ).
fof(f3906,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3905,f676]) ).
fof(f3905,plain,
( inverse(sk_c7) = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1193,f1007]) ).
fof(f1193,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1127,f353]) ).
fof(f3904,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3903,f676]) ).
fof(f3903,plain,
( inverse(sk_c7) = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1502,f1007]) ).
fof(f1502,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1065,f709]) ).
fof(f1065,plain,
( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1035,f360]) ).
fof(f3902,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3901,f676]) ).
fof(f3901,plain,
( inverse(sk_c7) = multiply(sk_c8,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1064,f1007]) ).
fof(f1064,plain,
( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1035,f352]) ).
fof(f1506,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1058,f1127]) ).
fof(f1058,plain,
( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1035,f351]) ).
fof(f1929,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1220,f1]) ).
fof(f3900,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1931,f1007]) ).
fof(f1931,plain,
( inverse(identity) = multiply(sk_c8,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1220,f221]) ).
fof(f1937,plain,
( ! [X0] : multiply(X0,multiply(sk_c8,sk_c7)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1220,f3]) ).
fof(f1938,plain,
( ! [X0] : multiply(X0,sk_c8) = multiply(X0,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1127,f1220]) ).
fof(f1943,plain,
( ! [X0] : multiply(X0,multiply(sk_c8,sk_c7)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f3,f1220]) ).
fof(f1305,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1219,f45]) ).
fof(f1989,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f676]) ).
fof(f1991,plain,
( ! [X0] : sk_c8 = multiply(multiply(inverse(sk_c7),X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f677]) ).
fof(f2000,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1365,f1035]) ).
fof(f2006,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1035,f1365]) ).
fof(f1202,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1127,f351]) ).
fof(f3899,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2146,f1007]) ).
fof(f2146,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f2]) ).
fof(f3898,plain,
( sk_c8 = multiply(identity,inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2171,f1007]) ).
fof(f2171,plain,
( sk_c8 = multiply(inverse(identity),inverse(sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2149,f709]) ).
fof(f2149,plain,
( sk_c8 = multiply(inverse(identity),inverse(inverse(inverse(sk_c7))))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f591]) ).
fof(f2152,plain,
( ! [X0] : sk_c8 = multiply(inverse(X0),multiply(X0,inverse(sk_c7)))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f1219]) ).
fof(f2176,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2154,f1]) ).
fof(f2154,plain,
( sk_c8 = inverse(multiply(identity,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f676]) ).
fof(f2156,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f677,f2032]) ).
fof(f2179,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2160,f709]) ).
fof(f2160,plain,
( ! [X0] : multiply(inverse(inverse(multiply(X0,sk_c7))),sk_c8) = X0
| ~ spl0_1 ),
inference(superposition,[],[f65,f2032]) ).
fof(f2180,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2162,f1]) ).
fof(f2162,plain,
( sk_c8 = inverse(multiply(identity,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f676,f2032]) ).
fof(f2164,plain,
( multiply(sk_c8,sk_c7) = inverse(multiply(sk_c8,sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f1220,f2032]) ).
fof(f3896,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2009,f676]) ).
fof(f2009,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(superposition,[],[f1,f1365]) ).
fof(f3895,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2001,f676]) ).
fof(f2001,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f1]) ).
fof(f3889,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(global_subsumption,[],[f34,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f16,f37,f36,f33,f18,f38,f23,f21,f1305,f1220,f1936,f1939,f1940,f1942,f1365,f1996,f2005,f2051,f2019,f2023,f2032,f2153,f2157,f2161,f2163,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2049,f2044,f2010,f2008,f2002,f1998,f1520,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f19,f14,f15,f20,f22,f17,f32,f1007,f24,f26,f28,f27,f25,f1133,f3739,f3745,f3746,f3768,f3772,f3774,f3765,f3762,f3809,f3881,f3882,f31,f29,f30,f9]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f30,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f3882,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3509,f676]) ).
fof(f3509,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2002,f1007]) ).
fof(f3881,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3511,f676]) ).
fof(f3511,plain,
( sk_c8 = inverse(multiply(sk_c7,identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2010,f1007]) ).
fof(f3809,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f3759,f65]) ).
fof(f3759,plain,
( ! [X0] : inverse(sk_c7) = multiply(inverse(X0),multiply(X0,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1133,f1220]) ).
fof(f3762,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1133,f2032]) ).
fof(f3765,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2032,f1133]) ).
fof(f3774,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1219,f1133]) ).
fof(f3772,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
inference(superposition,[],[f3,f1133]) ).
fof(f3768,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1127,f1133]) ).
fof(f3746,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1133,f677]) ).
fof(f3745,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1133,f65]) ).
fof(f3739,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
inference(superposition,[],[f1133,f3]) ).
fof(f1133,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1063,f709]) ).
fof(f1063,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1035,f1035]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f1007,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f905,f352]) ).
fof(f905,plain,
( identity = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f778,f351]) ).
fof(f32,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f1017,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f915,f352]) ).
fof(f915,plain,
( identity = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f351,f778]) ).
fof(f644,plain,
identity = inverse(identity),
inference(superposition,[],[f591,f222]) ).
fof(f647,plain,
identity = inverse(identity),
inference(superposition,[],[f222,f591]) ).
fof(f712,plain,
identity = inverse(identity),
inference(superposition,[],[f676,f2]) ).
fof(f713,plain,
identity = inverse(identity),
inference(superposition,[],[f676,f221]) ).
fof(f723,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f676]) ).
fof(f724,plain,
identity = inverse(identity),
inference(superposition,[],[f221,f676]) ).
fof(f774,plain,
identity = inverse(identity),
inference(superposition,[],[f674,f1]) ).
fof(f779,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f674]) ).
fof(f1527,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f725,f709]) ).
fof(f725,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f591,f676]) ).
fof(f1528,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f714,f709]) ).
fof(f714,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f676,f591]) ).
fof(f1008,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f906,f2]) ).
fof(f906,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f778,f65]) ).
fof(f1009,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f907,f674]) ).
fof(f907,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f778,f677]) ).
fof(f1018,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f916,f2]) ).
fof(f916,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f65,f778]) ).
fof(f1019,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f917,f674]) ).
fof(f917,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f677,f778]) ).
fof(f1090,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1041,f674]) ).
fof(f1041,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1035,f1]) ).
fof(f1231,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1187,f674]) ).
fof(f1187,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1127,f221]) ).
fof(f1489,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1314,f2]) ).
fof(f1314,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f1219,f221]) ).
fof(f1370,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1039,f2]) ).
fof(f1484,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1381,f709]) ).
fof(f1381,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(superposition,[],[f1039,f674]) ).
fof(f1486,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1485,f709]) ).
fof(f1485,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f1380,f1035]) ).
fof(f1380,plain,
! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
inference(superposition,[],[f1039,f778]) ).
fof(f1487,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1372,f709]) ).
fof(f1372,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1039,f591]) ).
fof(f1510,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1509,f709]) ).
fof(f1509,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[],[f1044,f709]) ).
fof(f1044,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1035,f591]) ).
fof(f1511,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1042,f709]) ).
fof(f1042,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1035,f2]) ).
fof(f1192,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1127,f676]) ).
fof(f1492,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1195,f709]) ).
fof(f1195,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1127,f222]) ).
fof(f1321,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1219,f676]) ).
fof(f1327,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f676,f1219]) ).
fof(f890,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f778,f352]) ).
fof(f1520,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f891,f709]) ).
fof(f891,plain,
( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f778,f360]) ).
fof(f1998,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f352]) ).
fof(f2002,plain,
( sk_c8 = inverse(multiply(sk_c7,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f221]) ).
fof(f2010,plain,
( sk_c8 = inverse(multiply(sk_c7,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f221,f1365]) ).
fof(f2044,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2011,f352]) ).
fof(f2011,plain,
( multiply(sk_c7,sk_c8) = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f351,f1365]) ).
fof(f2050,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c7,X0)),sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2016,f45]) ).
fof(f2016,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c7,X0)),inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f1035,f1365]) ).
fof(f2161,plain,
( ! [X0,X1] : multiply(sk_c8,X1) = multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f2032]) ).
fof(f2153,plain,
( ! [X0,X1] : sk_c8 = multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,X1))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f3]) ).
fof(f2032,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1995,f709]) ).
fof(f1995,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),inverse(inverse(X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f1035]) ).
fof(f2023,plain,
( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c7,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1365]) ).
fof(f2019,plain,
( ! [X0,X1] : multiply(sk_c8,X1) = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),X1))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1365]) ).
fof(f2051,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),sk_c7))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2017,f45]) ).
fof(f2017,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c7,X0)),inverse(sk_c8)))
| ~ spl0_1 ),
inference(superposition,[],[f778,f1365]) ).
fof(f2005,plain,
( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c7,multiply(X0,X1)))))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f3]) ).
fof(f1996,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(inverse(X0),sk_c7)),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f1039]) ).
fof(f1365,plain,
( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1039,f45]) ).
fof(f1220,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1127,f45]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f869,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f778,f2]) ).
fof(f1524,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f871,f709]) ).
fof(f871,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f778,f591]) ).
fof(f965,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f888,f3]) ).
fof(f888,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f778,f778]) ).
fof(f889,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f778,f674]) ).
fof(f899,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
inference(superposition,[],[f778,f221]) ).
fof(f1505,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f1061,f1035]) ).
fof(f1061,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
inference(superposition,[],[f1035,f778]) ).
fof(f1062,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f1035,f674]) ).
fof(f1073,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f1035,f221]) ).
fof(f1079,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f221,f1035]) ).
fof(f1388,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f1039,f221]) ).
fof(f1396,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f221,f1039]) ).
fof(f1408,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f1039]) ).
fof(f1407,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f677,f1039]) ).
fof(f1405,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f1039]) ).
fof(f1404,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f65,f1039]) ).
fof(f1403,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f778,f1039]) ).
fof(f1402,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f1035,f1039]) ).
fof(f1391,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f1039,f3]) ).
fof(f1383,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f1039,f1039]) ).
fof(f1442,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1382,f709]) ).
fof(f1382,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f1039,f1035]) ).
fof(f1039,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f927,f676]) ).
fof(f927,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f677,f778]) ).
fof(f1325,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1219]) ).
fof(f1324,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f65,f1219]) ).
fof(f1323,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f778,f1219]) ).
fof(f1322,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1035,f1219]) ).
fof(f1319,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1219,f3]) ).
fof(f1219,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1127,f709]) ).
fof(f1229,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1127]) ).
fof(f1228,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f65,f1127]) ).
fof(f1227,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f778,f1127]) ).
fof(f1226,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1035,f1127]) ).
fof(f1204,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1127,f677]) ).
fof(f1191,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1127,f3]) ).
fof(f1127,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1059,f709]) ).
fof(f1059,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1035,f65]) ).
fof(f1089,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1035]) ).
fof(f1088,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f677,f1035]) ).
fof(f1086,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1035]) ).
fof(f1085,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f65,f1035]) ).
fof(f1183,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1084,f709]) ).
fof(f1084,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f778,f1035]) ).
fof(f1076,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1035,f3]) ).
fof(f1060,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1035,f677]) ).
fof(f1047,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1035,f3]) ).
fof(f1035,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f924,f676]) ).
fof(f924,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f65,f778]) ).
fof(f1040,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f928,f3]) ).
fof(f928,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f778]) ).
fof(f1037,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1036,f3]) ).
fof(f1036,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f925,f1]) ).
fof(f925,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f778]) ).
fof(f1014,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f912,f3]) ).
fof(f912,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f778,f3]) ).
fof(f902,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f778,f3]) ).
fof(f874,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f778,f3]) ).
fof(f778,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f674,f3]) ).
fof(f839,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f677]) ).
fof(f830,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f677,f3]) ).
fof(f677,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f235,f65]) ).
fof(f788,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f674]) ).
fof(f804,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f786,f1]) ).
fof(f786,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f674]) ).
fof(f674,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f235,f2]) ).
fof(f761,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f709]) ).
fof(f760,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f65,f709]) ).
fof(f709,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f676,f222]) ).
fof(f745,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f732,f676]) ).
fof(f732,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f235,f676]) ).
fof(f720,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f222,f676]) ).
fof(f739,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f716,f676]) ).
fof(f716,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f676,f235]) ).
fof(f676,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f235,f222]) ).
fof(f685,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f65,f235]) ).
fof(f684,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f222,f235]) ).
fof(f681,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f65,f235]) ).
fof(f680,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f235]) ).
fof(f235,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f65,f65]) ).
fof(f665,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f646,f1]) ).
fof(f646,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f591]) ).
fof(f645,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f65,f591]) ).
fof(f591,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f65,f222]) ).
fof(f601,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f592,f1]) ).
fof(f592,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f222]) ).
fof(f222,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f65,f2]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f392,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f65,f221]) ).
fof(f221,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f65,f1]) ).
fof(f378,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f377,f1]) ).
fof(f377,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f360]) ).
fof(f376,plain,
( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f65,f360]) ).
fof(f360,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f65,f353]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f65,f45]) ).
fof(f353,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f65,f352]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f354,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f352]) ).
fof(f352,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_1
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f41,plain,
! [X3,X8,X6,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X3,X8,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,X4)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| multiply(X5,sk_c8) != X4 ),
inference(equality_resolution,[],[f39]) ).
fof(f39,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,X4)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| multiply(X8,sk_c8) != X7
| multiply(X5,sk_c8) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f225,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f65,f3]) ).
fof(f65,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f4,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f3869,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3868]) ).
fof(f3868,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3867,f709]) ).
fof(f3867,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f3838,f709]) ).
fof(f3838,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3834]) ).
fof(f3834,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(superposition,[],[f1477,f591]) ).
fof(f1477,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1476,plain,
( spl0_5
<=> ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3863,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3862]) ).
fof(f3862,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3861,f1007]) ).
fof(f3861,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3860,f1863]) ).
fof(f1863,plain,
( identity = sk_c8
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f1861,plain,
( spl0_10
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3860,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3859,f398]) ).
fof(f398,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f3859,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3858,f1]) ).
fof(f3858,plain,
( identity != inverse(inverse(multiply(identity,sk_c7)))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3832,f1863]) ).
fof(f3832,plain,
( identity != sk_c8
| identity != inverse(inverse(multiply(identity,sk_c7)))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1477,f2032]) ).
fof(f3857,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3856]) ).
fof(f3856,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3839,f709]) ).
fof(f3839,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3831]) ).
fof(f3831,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1477,f221]) ).
fof(f3855,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f3854]) ).
fof(f3854,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3840,f709]) ).
fof(f3840,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3830]) ).
fof(f3830,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1477,f2]) ).
fof(f3853,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f3852]) ).
fof(f3852,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f3841,f1007]) ).
fof(f3841,plain,
( identity != inverse(identity)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f3829]) ).
fof(f3829,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f1477,f1]) ).
fof(f3851,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3850]) ).
fof(f3850,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3849,f1007]) ).
fof(f3849,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3848,f3353]) ).
fof(f3353,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3343,f1007]) ).
fof(f3343,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f45,f1863]) ).
fof(f3848,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3828,f3353]) ).
fof(f3828,plain,
( identity != sk_c7
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f1477,f414]) ).
fof(f414,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f412,f45]) ).
fof(f412,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| ~ spl0_3 ),
inference(superposition,[],[f65,f409]) ).
fof(f409,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f2,f398]) ).
fof(f3846,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3845]) ).
fof(f3845,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3844,f1007]) ).
fof(f3844,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3843,f1863]) ).
fof(f3843,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3842,f398]) ).
fof(f3842,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3826,f1863]) ).
fof(f3826,plain,
( identity != sk_c8
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1477,f353]) ).
fof(f3824,plain,
( spl0_6
| spl0_6
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f3710,f1861,f396,f43,f1476,f1476,f1479,f1479]) ).
fof(f1479,plain,
( spl0_6
<=> ! [X8] :
( identity != multiply(identity,X8)
| identity != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3710,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3709,f1863]) ).
fof(f3709,plain,
( ! [X3,X8,X6,X5] :
( sk_c8 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3708,f3353]) ).
fof(f3708,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3707,f1863]) ).
fof(f3707,plain,
( ! [X3,X8,X6,X5] :
( sk_c8 != multiply(X6,identity)
| identity != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3706,f3353]) ).
fof(f3706,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3705,f3353]) ).
fof(f3705,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,X8)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3704,f676]) ).
fof(f3704,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3703,f1863]) ).
fof(f3703,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3702,f3353]) ).
fof(f3702,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3701,f676]) ).
fof(f3701,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3700,f1863]) ).
fof(f3700,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3699,f1863]) ).
fof(f3699,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3698,f1863]) ).
fof(f3698,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3697,f1863]) ).
fof(f3697,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f694,f3353]) ).
fof(f694,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f693,f45]) ).
fof(f693,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f41,f398]) ).
fof(f3571,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3570]) ).
fof(f3570,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3569,f1007]) ).
fof(f3569,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3539,f3430]) ).
fof(f3430,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f3427,f1]) ).
fof(f3427,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3426,f3353]) ).
fof(f3426,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1594,f1863]) ).
fof(f1594,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3539,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f3538]) ).
fof(f3538,plain,
( identity != identity
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f1480,f3427]) ).
fof(f1480,plain,
( ! [X8] :
( identity != multiply(identity,X8)
| identity != inverse(X8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f3568,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3567]) ).
fof(f3567,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3566,f1007]) ).
fof(f3566,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3565,f1863]) ).
fof(f3565,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3564,f398]) ).
fof(f3564,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3563,f414]) ).
fof(f3563,plain,
( identity != inverse(inverse(multiply(sk_c7,identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3537,f1863]) ).
fof(f3537,plain,
( identity != sk_c8
| identity != inverse(inverse(multiply(sk_c7,identity)))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1480,f1365]) ).
fof(f3562,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3561]) ).
fof(f3561,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3560,f1007]) ).
fof(f3560,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3559,f3353]) ).
fof(f3559,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3558,f45]) ).
fof(f3558,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f3557,f676]) ).
fof(f3557,plain,
( identity != inverse(inverse(multiply(sk_c8,identity)))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f3536,f3353]) ).
fof(f3536,plain,
( identity != sk_c7
| identity != inverse(inverse(multiply(sk_c8,identity)))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f1480,f1366]) ).
fof(f1366,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_3 ),
inference(superposition,[],[f1039,f398]) ).
fof(f3550,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3549,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f3540,f709]) ).
fof(f3540,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3533]) ).
fof(f3533,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f1480,f674]) ).
fof(f3548,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3547,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f3546,f709]) ).
fof(f3546,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3541,f1035]) ).
fof(f3541,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3532]) ).
fof(f3532,plain,
( ! [X0] :
( identity != identity
| identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
| ~ spl0_6 ),
inference(superposition,[],[f1480,f778]) ).
fof(f3544,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f3543]) ).
fof(f3543,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f3542,f1007]) ).
fof(f3542,plain,
( identity != inverse(identity)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3530]) ).
fof(f3530,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f1480,f676]) ).
fof(f3336,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3335]) ).
fof(f3335,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317,f561,f1426,f401]) ).
fof(f401,plain,
( sk_c8 != inverse(sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl0_4
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1426,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1425,f674]) ).
fof(f1425,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(X0))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1424,f1]) ).
fof(f1424,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1369,f463]) ).
fof(f1369,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c8,X0)))
| spl0_4 ),
inference(superposition,[],[f1039,f437]) ).
fof(f561,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f560,f1]) ).
fof(f3317,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f464,f1007]) ).
fof(f562,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f1,f560]) ).
fof(f1423,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1422,f674]) ).
fof(f1422,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(X0))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1421,f1]) ).
fof(f1421,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1368,f484]) ).
fof(f1368,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
| spl0_4 ),
inference(superposition,[],[f1039,f425]) ).
fof(f565,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f563,f2]) ).
fof(f563,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f65,f560]) ).
fof(f484,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f468,f414]) ).
fof(f2104,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),sk_c8)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2063,f398]) ).
fof(f2063,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),inverse(sk_c7))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f1366]) ).
fof(f2080,plain,
( multiply(sk_c7,sk_c7) = inverse(multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f351,f1366]) ).
fof(f2165,plain,
( multiply(sk_c8,sk_c8) = inverse(multiply(sk_c7,sk_c7))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1221,f2032]) ).
fof(f2840,plain,
( sk_c7 = multiply(inverse(multiply(sk_c8,sk_c8)),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f2136,f398]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f65,f398]) ).
fof(f3122,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f413,f1]) ).
fof(f413,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f409]) ).
fof(f1483,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1384,f398]) ).
fof(f1501,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1066,f45]) ).
fof(f1066,plain,
( inverse(sk_c8) = multiply(sk_c7,inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1035,f409]) ).
fof(f1503,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1502,f398]) ).
fof(f1504,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1064,f398]) ).
fof(f1198,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1127,f414]) ).
fof(f1495,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1193,f398]) ).
fof(f892,plain,
( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f778,f409]) ).
fof(f1946,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1931,f409]) ).
fof(f1972,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1958,f352]) ).
fof(f1958,plain,
( inverse(identity) = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f1221,f221]) ).
fof(f3112,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3111,f398]) ).
fof(f3111,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1992,f1035]) ).
fof(f1992,plain,
( ! [X0] : sk_c8 = multiply(multiply(X0,inverse(multiply(sk_c7,X0))),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f778]) ).
fof(f3110,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1994,f398]) ).
fof(f1994,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1365,f674]) ).
fof(f3107,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f3106,f45]) ).
fof(f3106,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2059,f1035]) ).
fof(f2059,plain,
( ! [X0] : sk_c7 = multiply(multiply(X0,inverse(multiply(sk_c8,X0))),inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f778]) ).
fof(f3105,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2060,f45]) ).
fof(f2060,plain,
( sk_c7 = multiply(inverse(sk_c8),inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f674]) ).
fof(f2066,plain,
( sk_c7 = multiply(sk_c7,inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f409]) ).
fof(f2071,plain,
( sk_c7 = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f221]) ).
fof(f2079,plain,
( sk_c7 = inverse(multiply(sk_c8,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f221,f1366]) ).
fof(f3102,plain,
( sk_c8 = multiply(sk_c8,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2147,f398]) ).
fof(f2147,plain,
( sk_c8 = multiply(inverse(sk_c7),inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f2032,f221]) ).
fof(f2181,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2164,f409]) ).
fof(f2103,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),X0)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2061,f709]) ).
fof(f2061,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c8)),inverse(inverse(X0)))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f1035]) ).
fof(f2088,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f65,f1366]) ).
fof(f2092,plain,
( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_3 ),
inference(superposition,[],[f677,f1366]) ).
fof(f2802,plain,
( identity = inverse(identity)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2767,f2]) ).
fof(f2767,plain,
( inverse(identity) = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f2133,f676]) ).
fof(f2806,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2771,f45]) ).
fof(f2771,plain,
( ! [X0] : inverse(multiply(inverse(sk_c8),X0)) = multiply(inverse(X0),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f2133,f677]) ).
fof(f2791,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1220,f2133]) ).
fof(f2829,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2796,f45]) ).
fof(f2796,plain,
( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),inverse(sk_c8))
| ~ spl0_3 ),
inference(superposition,[],[f1127,f2133]) ).
fof(f2856,plain,
( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1220,f2136]) ).
fof(f2874,plain,
( ! [X0] : multiply(X0,sk_c7) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2858,f45]) ).
fof(f2858,plain,
( ! [X0] : multiply(X0,inverse(sk_c8)) = inverse(multiply(sk_c8,inverse(X0)))
| ~ spl0_3 ),
inference(superposition,[],[f1127,f2136]) ).
fof(f2862,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(inverse(multiply(sk_c8,inverse(X0))),multiply(sk_c8,X1))
| ~ spl0_3 ),
inference(superposition,[],[f3,f2136]) ).
fof(f2136,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),sk_c8) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2091,f398]) ).
fof(f2091,plain,
( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(sk_c7)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1039,f1366]) ).
fof(f2800,plain,
( ! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(sk_c8,X0)),multiply(sk_c8,X1))
| ~ spl0_3 ),
inference(superposition,[],[f3,f2133]) ).
fof(f2133,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),sk_c8)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2086,f398]) ).
fof(f2086,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
| ~ spl0_3 ),
inference(superposition,[],[f1035,f1366]) ).
fof(f2093,plain,
( ! [X0,X1] : sk_c7 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
| ~ spl0_3 ),
inference(superposition,[],[f3,f1366]) ).
fof(f2089,plain,
( ! [X0,X1] : multiply(sk_c7,X1) = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),X1))
| ~ spl0_3 ),
inference(superposition,[],[f3,f1366]) ).
fof(f2134,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),sk_c8))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2087,f398]) ).
fof(f2087,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7)))
| ~ spl0_3 ),
inference(superposition,[],[f778,f1366]) ).
fof(f2074,plain,
( ! [X0,X1] : sk_c7 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f3]) ).
fof(f2062,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(inverse(X0),sk_c8)),inverse(X0))
| ~ spl0_3 ),
inference(superposition,[],[f1366,f1039]) ).
fof(f1969,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c7),multiply(sk_c8,X1))
| ~ spl0_3 ),
inference(superposition,[],[f3,f1221]) ).
fof(f1968,plain,
( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_3 ),
inference(superposition,[],[f65,f1221]) ).
fof(f1967,plain,
( ! [X0] : identity = multiply(multiply(X0,sk_c7),multiply(sk_c8,inverse(X0)))
| ~ spl0_3 ),
inference(superposition,[],[f778,f1221]) ).
fof(f1966,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c8,inverse(X0))
| ~ spl0_3 ),
inference(superposition,[],[f1035,f1221]) ).
fof(f1963,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c7)),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f1221,f3]) ).
fof(f1221,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1127,f398]) ).
fof(f1306,plain,
( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1219,f398]) ).
fof(f1862,plain,
( identity != sk_c8
| spl0_10 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f864,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,X5)
| identity != multiply(identity,X8)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f863,f676]) ).
fof(f863,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,X8)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f706,f676]) ).
fof(f706,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f705,f463]) ).
fof(f705,plain,
( ! [X3,X8,X6,X5] :
( sk_c8 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f704,f484]) ).
fof(f704,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f703,f463]) ).
fof(f703,plain,
( ! [X3,X8,X6,X5] :
( sk_c8 != multiply(X6,identity)
| identity != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f702,f484]) ).
fof(f702,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f701,f484]) ).
fof(f701,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f700,f463]) ).
fof(f700,plain,
( ! [X3,X8,X6,X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f699,f484]) ).
fof(f699,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f698,f463]) ).
fof(f698,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f697,f463]) ).
fof(f697,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X8)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f696,f463]) ).
fof(f696,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f695,f463]) ).
fof(f695,plain,
( ! [X3,X8,X6,X5] :
( identity != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f694,f484]) ).
fof(f566,plain,
( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f564,f1]) ).
fof(f564,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c3,X0))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f3,f560]) ).
fof(f560,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f559,f484]) ).
fof(f559,plain,
( sk_c7 = multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f558,f463]) ).
fof(f558,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| spl0_4 ),
inference(subsumption_resolution,[],[f28,f401]) ).
fof(f524,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f503,f463]) ).
fof(f503,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f398,f484]) ).
fof(f494,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f490,f1]) ).
fof(f490,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f3,f468]) ).
fof(f486,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f414,f468]) ).
fof(f468,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f352,f463]) ).
fof(f482,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f2,f464]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f481,f1]) ).
fof(f481,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f65,f464]) ).
fof(f480,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f221,f464]) ).
fof(f464,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f45,f463]) ).
fof(f472,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f409,f463]) ).
fof(f478,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f477,f45]) ).
fof(f477,plain,
( identity = multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f469,f398]) ).
fof(f469,plain,
( identity = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f360,f463]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f351,f463]) ).
fof(f463,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f462,f409]) ).
fof(f462,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f461,f432]) ).
fof(f461,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| spl0_4 ),
inference(subsumption_resolution,[],[f18,f401]) ).
fof(f448,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| spl0_4 ),
inference(forward_demodulation,[],[f442,f1]) ).
fof(f442,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| spl0_4 ),
inference(superposition,[],[f3,f439]) ).
fof(f439,plain,
( identity = multiply(sk_c8,sk_c2)
| spl0_4 ),
inference(superposition,[],[f2,f437]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| spl0_4 ),
inference(superposition,[],[f65,f437]) ).
fof(f437,plain,
( sk_c8 = inverse(sk_c2)
| spl0_4 ),
inference(subsumption_resolution,[],[f38,f401]) ).
fof(f432,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f429,f353]) ).
fof(f429,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| spl0_4 ),
inference(superposition,[],[f65,f427]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| spl0_4 ),
inference(forward_demodulation,[],[f430,f1]) ).
fof(f430,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| spl0_4 ),
inference(superposition,[],[f3,f427]) ).
fof(f427,plain,
( identity = multiply(sk_c7,sk_c1)
| spl0_4 ),
inference(superposition,[],[f2,f425]) ).
fof(f426,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| spl0_4 ),
inference(superposition,[],[f65,f425]) ).
fof(f425,plain,
( sk_c7 = inverse(sk_c1)
| spl0_4 ),
inference(subsumption_resolution,[],[f23,f401]) ).
fof(f411,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f351,f409]) ).
fof(f3333,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3332]) ).
fof(f3332,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f485,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317,f561,f1426]) ).
fof(f485,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f468,f356]) ).
fof(f356,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f242,f45]) ).
fof(f242,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f65,f51]) ).
fof(f51,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f3331,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3330]) ).
fof(f3330,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3329,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317,f561,f1426]) ).
fof(f3329,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f599,f3114]) ).
fof(f3114,plain,
( sk_c7 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1876,f414]) ).
fof(f1876,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1867,f45]) ).
fof(f1867,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f222,f1859]) ).
fof(f1859,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1857,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f599,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f598,f356]) ).
fof(f598,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f588,f45]) ).
fof(f588,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| spl0_4 ),
inference(superposition,[],[f222,f437]) ).
fof(f3328,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3327]) ).
fof(f3327,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317,f561,f1426]) ).
fof(f3323,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3322]) ).
fof(f3322,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317,f561]) ).
fof(f3321,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3320]) ).
fof(f3320,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(subsumption_resolution,[],[f463,f1862]) ).
fof(f3319,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3318]) ).
fof(f3318,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562,f3317]) ).
fof(f3316,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3315,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423,f562]) ).
fof(f3314,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3313]) ).
fof(f3313,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f572,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f562,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423]) ).
fof(f572,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f571,f484]) ).
fof(f571,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f570,f416]) ).
fof(f416,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f414,f356]) ).
fof(f570,plain,
( sk_c4 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f569,f356]) ).
fof(f569,plain,
( sk_c3 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f568,f447]) ).
fof(f447,plain,
( sk_c7 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f446,f416]) ).
fof(f446,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f445,f356]) ).
fof(f445,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f441,f45]) ).
fof(f441,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| spl0_4 ),
inference(superposition,[],[f65,f439]) ).
fof(f568,plain,
( sk_c3 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f567,f463]) ).
fof(f567,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| spl0_4 ),
inference(subsumption_resolution,[],[f33,f401]) ).
fof(f3312,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
fof(f3311,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f562,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565,f1423]) ).
fof(f3310,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3309]) ).
fof(f3309,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f562,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484,f565]) ).
fof(f3308,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3307]) ).
fof(f3307,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3306,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484]) ).
fof(f3306,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f443,f3114]) ).
fof(f443,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f440,f356]) ).
fof(f440,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f351,f439]) ).
fof(f3305,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3304]) ).
fof(f3304,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28,f484]) ).
fof(f3303,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3302]) ).
fof(f3302,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3301,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3301,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f446,f3114]) ).
fof(f3300,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3299]) ).
fof(f3299,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f1480,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3298,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3297]) ).
fof(f3297,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f1594,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3296,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3295]) ).
fof(f3295,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f1607,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f1607,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1606,f45]) ).
fof(f1606,plain,
( inverse(sk_c8) = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1602,f398]) ).
fof(f1602,plain,
( inverse(sk_c8) = multiply(sk_c6,inverse(sk_c7))
| ~ spl0_7 ),
inference(superposition,[],[f1035,f1594]) ).
fof(f3294,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3293]) ).
fof(f3293,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f1609,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f1609,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1604,f45]) ).
fof(f1604,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f65,f1594]) ).
fof(f3292,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3291,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f2113,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f2113,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2068,f398]) ).
fof(f2068,plain,
( sk_c7 = multiply(sk_c6,inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f1366,f1594]) ).
fof(f3290,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3289]) ).
fof(f3289,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f1354,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f1354,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1316,f1219]) ).
fof(f1316,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c7,inverse(X0)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1219,f359]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f356]) ).
fof(f3288,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3287]) ).
fof(f3287,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f1233,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f1233,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1189,f1127]) ).
fof(f1189,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c7,X0),inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1127,f359]) ).
fof(f3286,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3285,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f3213,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3213,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f799,f45]) ).
fof(f799,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f781,f356]) ).
fof(f781,plain,
( inverse(sk_c8) = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(superposition,[],[f351,f674]) ).
fof(f3284,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3283]) ).
fof(f3283,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3216,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3216,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1877,f3114]) ).
fof(f1877,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1876,f356]) ).
fof(f3282,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3281,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f3219,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3219,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1517,f45]) ).
fof(f1517,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1516,f356]) ).
fof(f1516,plain,
( inverse(sk_c8) = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f920,f1035]) ).
fof(f920,plain,
( ! [X0] : multiply(sk_c7,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f351,f778]) ).
fof(f3280,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3279]) ).
fof(f3279,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f416,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3278,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3277]) ).
fof(f3277,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f3224,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3224,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f750,f45]) ).
fof(f750,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_2 ),
inference(superposition,[],[f709,f49]) ).
fof(f3276,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3275]) ).
fof(f3275,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f1949,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f1949,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1933,f1220]) ).
fof(f1933,plain,
( sk_c4 = multiply(multiply(sk_c7,sk_c8),sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1220,f359]) ).
fof(f3274,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3273]) ).
fof(f3273,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f722,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f722,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f356,f676]) ).
fof(f3272,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3271]) ).
fof(f3271,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f590,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f590,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f363,f222]) ).
fof(f363,plain,
( sk_c4 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f357]) ).
fof(f357,plain,
( identity = multiply(inverse(sk_c7),sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f356]) ).
fof(f3270,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3269]) ).
fof(f3269,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f589,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f589,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f222,f363]) ).
fof(f3268,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3267]) ).
fof(f3267,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f711,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f711,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f676,f356]) ).
fof(f3266,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3265]) ).
fof(f3265,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f49,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3263,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3262,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3261,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3261,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3260,f1862]) ).
fof(f3260,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3259,f409]) ).
fof(f3259,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f18,f1910]) ).
fof(f1910,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1901,f353]) ).
fof(f1901,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f222,f1598]) ).
fof(f1598,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1596,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3258,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3257]) ).
fof(f3257,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27,f28]) ).
fof(f3256,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
fof(f3255,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3254,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27]) ).
fof(f3254,plain,
( identity = sk_c3
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f3253,f352]) ).
fof(f3253,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f33,f3114]) ).
fof(f3252,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3251,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3173,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27]) ).
fof(f3173,plain,
( identity = sk_c3
| sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f3172,f352]) ).
fof(f3172,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f32,f3114]) ).
fof(f3250,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3249,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104,f27]) ).
fof(f3248,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3247]) ).
fof(f3247,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3246,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f401,f409,f411,f414,f425,f426,f427,f433,f432,f437,f438,f439,f448,f463,f476,f478,f472,f464,f480,f483,f482,f468,f486,f494,f484,f524,f560,f561,f562,f565,f566,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f706,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1423,f1426,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f864,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f14,f29,f30,f15,f20,f22,f17,f27,f32,f1007,f25,f24,f2840,f26,f2165,f2080,f2104]) ).
fof(f3246,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3245,f1862]) ).
fof(f3245,plain,
( identity = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3244,f409]) ).
fof(f3244,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f17,f1910]) ).
fof(f3243,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3242]) ).
fof(f3242,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f49,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f1593,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f3206,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3205,f1862]) ).
fof(f3205,plain,
( identity = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3204,f409]) ).
fof(f3204,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f1910]) ).
fof(f3198,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3197,f1862]) ).
fof(f3197,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3196,f409]) ).
fof(f3196,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f14,f1910]) ).
fof(f3188,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f24,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25]) ).
fof(f3187,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3186,f1862]) ).
fof(f3186,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3185,f409]) ).
fof(f3185,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f15,f1910]) ).
fof(f1913,plain,
( sk_c8 = sk_c1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1906,f398]) ).
fof(f1906,plain,
( inverse(sk_c7) = sk_c1
| ~ spl0_8 ),
inference(superposition,[],[f709,f1598]) ).
fof(f3141,plain,
( sk_c8 = sk_c1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1906,f398]) ).
fof(f3137,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1598,f1899,f1900,f1912,f1904,f1905,f1907,f1908,f1909,f32,f27,f17,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f19,f3129,f14,f24,f29,f30,f25,f15,f20,f3136,f22]) ).
fof(f3136,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1598,f1899,f1900,f1912,f1904,f1905,f1907,f1908,f1909,f32,f27,f17,f22,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f19,f3129,f14,f24,f29,f30,f25,f15,f20]) ).
fof(f3129,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1598,f1899,f1900,f1912,f1904,f1905,f1907,f1908,f1909,f32,f27,f17,f22,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f15,f25,f30,f29,f24,f14,f19]) ).
fof(f1909,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
| ~ spl0_8 ),
inference(superposition,[],[f1219,f1598]) ).
fof(f1908,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
| ~ spl0_8 ),
inference(superposition,[],[f1127,f1598]) ).
fof(f1907,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_8 ),
inference(superposition,[],[f1039,f1598]) ).
fof(f1905,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f677,f1598]) ).
fof(f1904,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f674,f1598]) ).
fof(f1912,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1903,f709]) ).
fof(f1903,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f591,f1598]) ).
fof(f1911,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1902,f398]) ).
fof(f1902,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c1,X0)
| ~ spl0_8 ),
inference(superposition,[],[f235,f1598]) ).
fof(f1900,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f65,f1598]) ).
fof(f1899,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f1598]) ).
fof(f3241,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3240]) ).
fof(f3240,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3239,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3239,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1550,f3115]) ).
fof(f3115,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1549,f414]) ).
fof(f1549,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1540,f45]) ).
fof(f1540,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_4 ),
inference(superposition,[],[f222,f402]) ).
fof(f402,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f1550,plain,
( sk_c4 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1549,f356]) ).
fof(f3238,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3237]) ).
fof(f3237,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f711,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3236,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3235]) ).
fof(f3235,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f589,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3234,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3233]) ).
fof(f3233,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f590,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3232,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3231,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f722,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3230,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3229,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f1949,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3228,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3227]) ).
fof(f3227,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f2187,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f2187,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f2186,f1862]) ).
fof(f2186,plain,
( identity = sk_c8
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2185,f409]) ).
fof(f2185,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2184,f1910]) ).
fof(f2184,plain,
( identity = sk_c6
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2183,f352]) ).
fof(f2183,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f17,f1551]) ).
fof(f1551,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1550,f416]) ).
fof(f3226,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3225]) ).
fof(f3225,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3224,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3223,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3222]) ).
fof(f3222,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f416,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3221,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3220,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3219,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3218,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3217]) ).
fof(f3217,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f3216,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3215,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3214]) ).
fof(f3214,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f3213,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3212,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3211,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f1233,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3210,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3209]) ).
fof(f3209,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f1354,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3208,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f45,f352,f355,f353,f362,f351,f368,f360,f376,f378,f221,f392,f13,f398,f409,f411,f414,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1202,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f694,f31,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1862,f1306,f1305,f1899,f1900,f1911,f1912,f1904,f1905,f1907,f1908,f1909,f1220,f1936,f1939,f1940,f1942,f1221,f1963,f1966,f1967,f1968,f1969,f1365,f1996,f2005,f2051,f2019,f2023,f1366,f2062,f2074,f2134,f2089,f2093,f2032,f2153,f2157,f2161,f2163,f2133,f2800,f2136,f2862,f2874,f2856,f2829,f2791,f2806,f2802,f2092,f2088,f2053,f2050,f2022,f2018,f1397,f1080,f1941,f2103,f2181,f3102,f2079,f2071,f2066,f3105,f3107,f2049,f2044,f2010,f2008,f2002,f1998,f3110,f3112,f1520,f1972,f1946,f892,f890,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1495,f1198,f1504,f1503,f1501,f1483,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f1017,f809,f3122,f408,f19,f3129,f14,f29,f30,f15,f20,f3136,f22,f3137,f17,f27,f32,f3141,f1913,f1598,f1910,f1007,f3187,f25,f3188,f24,f3198,f2840,f26,f2165,f2080,f2104,f3206,f1593]) ).
fof(f3171,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3170]) ).
fof(f3170,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3169,f1862]) ).
fof(f3169,plain,
( identity = sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3168,f409]) ).
fof(f3168,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f3130,f1910]) ).
fof(f3130,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f32,f27,f17,f22,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f15,f25,f30,f29,f24,f48,f19,f14]) ).
fof(f48,plain,
( sk_c8 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f3128,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3127,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30,f3119,f29,f3123,f24,f3124,f14,f3125,f19,f3126,f1597,f48]) ).
fof(f1597,plain,
( sk_c7 != inverse(sk_c1)
| spl0_8 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f3126,plain,
( sk_c8 = inverse(sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30,f3119,f29,f3123,f24,f3124,f14,f3125,f19]) ).
fof(f3125,plain,
( sk_c8 = inverse(sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30,f3119,f29,f3123,f24,f3124,f14]) ).
fof(f3124,plain,
( sk_c8 = inverse(sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f14,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30,f3119,f29,f3123,f24]) ).
fof(f3123,plain,
( sk_c8 = inverse(sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f24,f14,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30,f3119,f29]) ).
fof(f3119,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25,f3118,f30]) ).
fof(f3118,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15,f3117,f25]) ).
fof(f3117,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20,f3116,f15]) ).
fof(f3116,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f15,f35,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1079,f1073,f1062,f1505,f899,f889,f965,f1524,f869,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22,f3113,f1327,f1321,f1492,f1192,f1511,f1510,f1487,f1486,f1484,f1370,f1489,f1231,f1090,f1019,f1018,f1009,f1008,f1528,f1527,f779,f774,f724,f723,f713,f712,f647,f644,f20]) ).
fof(f3113,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f15,f35,f20,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1484,f1486,f1487,f1370,f1327,f1321,f1489,f1492,f1192,f1231,f1079,f1073,f1062,f1505,f1510,f1511,f1090,f1019,f1018,f1009,f1008,f899,f889,f965,f1524,f869,f779,f774,f1527,f724,f723,f1528,f713,f712,f647,f644,f31,f26,f16,f37,f36,f33,f28,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17,f3101,f22]) ).
fof(f3101,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f15,f35,f20,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1484,f1486,f1487,f1370,f1327,f1321,f1489,f1492,f1192,f1231,f1079,f1073,f1062,f1505,f1510,f1511,f1090,f1019,f1018,f1009,f1008,f899,f889,f965,f1524,f869,f779,f774,f1527,f724,f723,f1528,f713,f712,f647,f644,f31,f26,f16,f37,f36,f33,f28,f22,f18,f38,f23,f21,f1597,f32,f3099,f27,f3100,f17]) ).
fof(f3100,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f15,f35,f20,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1484,f1486,f1487,f1370,f1327,f1321,f1489,f1492,f1192,f1231,f1079,f1073,f1062,f1505,f1510,f1511,f1090,f1019,f1018,f1009,f1008,f899,f889,f965,f1524,f869,f779,f774,f1527,f724,f723,f1528,f713,f712,f647,f644,f31,f26,f17,f16,f37,f36,f33,f28,f22,f18,f38,f23,f21,f1597,f32,f3099,f27]) ).
fof(f3099,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_8 ),
inference(global_subsumption,[],[f19,f34,f9,f29,f24,f14,f1,f2,f4,f3,f65,f225,f41,f30,f25,f15,f35,f20,f12,f11,f10,f7,f6,f5,f8,f221,f392,f13,f222,f601,f591,f645,f665,f235,f680,f681,f684,f685,f676,f739,f720,f745,f709,f760,f761,f674,f804,f788,f677,f830,f839,f778,f874,f902,f1014,f1037,f1040,f1035,f1047,f1060,f1133,f1076,f1183,f1085,f1086,f1088,f1089,f1127,f1191,f1204,f1226,f1227,f1228,f1229,f1219,f1319,f1322,f1323,f1324,f1325,f1039,f1442,f1383,f1391,f1402,f1403,f1404,f1405,f1407,f1408,f1396,f1388,f1484,f1486,f1487,f1370,f1327,f1321,f1489,f1492,f1192,f1231,f1079,f1073,f1062,f1505,f1510,f1511,f1090,f1019,f1018,f1009,f1008,f899,f889,f965,f1524,f869,f779,f774,f1527,f724,f723,f1528,f713,f712,f647,f644,f31,f27,f26,f17,f16,f37,f36,f33,f28,f22,f18,f38,f23,f21,f1597,f32]) ).
fof(f3090,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f3089]) ).
fof(f3089,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3088,f1862]) ).
fof(f3088,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f3087,f2197]) ).
fof(f2197,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(superposition,[],[f352,f2195]) ).
fof(f2195,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f2191,f384]) ).
fof(f384,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f371,f352]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f68,f359]) ).
fof(f68,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f62,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f51]) ).
fof(f2191,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(superposition,[],[f1594,f2187]) ).
fof(f3087,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f3086,f1910]) ).
fof(f3086,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f3085,f2195]) ).
fof(f3085,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f3084,f1862]) ).
fof(f3084,plain,
( identity = sk_c8
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f3083,f2187]) ).
fof(f3083,plain,
( sk_c8 = sk_c6
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1534,f1609]) ).
fof(f1534,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15,f359]) ).
fof(f1895,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1894]) ).
fof(f1894,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f1893,f1862]) ).
fof(f1893,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1892,f1677]) ).
fof(f1677,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f352,f1675]) ).
fof(f1675,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1671,f384]) ).
fof(f1671,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f1594,f1667]) ).
fof(f1667,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f1666,f352]) ).
fof(f1666,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f1665,f1551]) ).
fof(f1665,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_8 ),
inference(subsumption_resolution,[],[f22,f1597]) ).
fof(f1892,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1891,f1675]) ).
fof(f1891,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_8 ),
inference(subsumption_resolution,[],[f1537,f1597]) ).
fof(f1537,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f20,f416]) ).
fof(f1864,plain,
( spl0_9
| spl0_10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f1855,f1596,f1592,f400,f396,f47,f43,f1861,f1857]) ).
fof(f1855,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1854,f1677]) ).
fof(f1854,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| sk_c8 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1536,f1675]) ).
fof(f1536,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| sk_c8 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f35,f416]) ).
fof(f1599,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f21,f1596,f1592]) ).
fof(f1481,plain,
( spl0_5
| spl0_5
| spl0_6
| spl0_6
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f864,f400,f396,f43,f1479,f1479,f1476,f1476]) ).
fof(f403,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f400,f396]) ).
fof(f328,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f326,f77]) ).
fof(f77,plain,
( sk_c8 = sk_c7
| spl0_1 ),
inference(superposition,[],[f74,f55]) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f44]) ).
fof(f44,plain,
( inverse(sk_c8) != sk_c7
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| spl0_1 ),
inference(superposition,[],[f69,f56]) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f44]) ).
fof(f69,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f53]) ).
fof(f53,plain,
( identity = multiply(sk_c8,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f8,f44]) ).
fof(f326,plain,
( sk_c8 != sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f308,f182]) ).
fof(f182,plain,
( sk_c8 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f49,f162]) ).
fof(f162,plain,
( identity = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f138,f51]) ).
fof(f138,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f68,f120]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f110,f68]) ).
fof(f110,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f61,f77]) ).
fof(f61,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f54]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f5,f44]) ).
fof(f308,plain,
( sk_c7 != inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f44,f272]) ).
fof(f272,plain,
( identity = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f271,f2]) ).
fof(f271,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f237,f77]) ).
fof(f237,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f70]) ).
fof(f70,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f68,f54]) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f47,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 04:37:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.34 % (24506)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (24509)WARNING: value z3 for option sas not known
% 0.18/0.35 % (24508)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35 % (24513)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)
% 0.18/0.36 % (24511)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)
% 0.18/0.36 % (24510)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (24512)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)
% 0.18/0.36 % (24509)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)
% 0.18/0.36 % (24507)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [3]
% 0.18/0.38 TRYING [5]
% 0.18/0.40 TRYING [4]
% 0.18/0.42 TRYING [6]
% 0.18/0.44 % (24509)First to succeed.
% 0.18/0.46 TRYING [5]
% 0.18/0.46 % (24509)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (24509)------------------------------
% 0.18/0.47 % (24509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.47 % (24509)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (24509)Memory used [KB]: 2229
% 0.18/0.47 % (24509)Time elapsed: 0.106 s
% 0.18/0.47 % (24509)Instructions burned: 224 (million)
% 0.18/0.47 % (24509)------------------------------
% 0.18/0.47 % (24509)------------------------------
% 0.18/0.47 % (24506)Success in time 0.128 s
%------------------------------------------------------------------------------