TSTP Solution File: GRP278-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:56:53 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of formulae : 895 ( 53 unt; 0 def)
% Number of atoms : 3772 (1379 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 5356 (2479 ~;2866 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 389 ( 389 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2031,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f198,f363,f396,f399,f401,f405,f408,f474,f576,f580,f585,f587,f590,f717,f848,f850,f853,f938,f958,f975,f978,f995,f997,f999,f1001,f1004,f1006,f1008,f1038,f1046,f1050,f1054,f1058,f1330,f1349,f1354,f1356,f1358,f1360,f1363,f1434,f1437,f1439,f1444,f1504,f1566,f1612,f1660,f1669,f1672,f1680,f1682,f1710,f1713,f1715,f1770,f1872,f1877,f1879,f1881,f1883,f1886,f1888,f1890,f1906,f1908,f1912,f1914,f1918,f1920,f1922,f1924,f1926,f1930,f1932,f1934,f1936,f1938,f1940,f1943,f1945,f1947,f1949,f2030]) ).
fof(f2030,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2029]) ).
fof(f2029,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(subsumption_resolution,[],[f2028,f1654]) ).
fof(f1654,plain,
( identity != sk_c6
| spl0_10 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1653,plain,
( spl0_10
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2028,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f2026,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f2026,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f48,f2020]) ).
fof(f2020,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f2012,f1985]) ).
fof(f1985,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1983,f473]) ).
fof(f473,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_6
<=> sk_c5 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1983,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f48,f1928]) ).
fof(f1928,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f1927,f711]) ).
fof(f711,plain,
( identity != sk_c5
| spl0_7 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl0_7
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1927,plain,
( identity = sk_c5
| sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f8,f1265]) ).
fof(f1265,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f1177,f28]) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_1
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1177,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f228,f2]) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f48,f48]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f2012,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f1790,f1991]) ).
fof(f1991,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f1989,f28]) ).
fof(f1989,plain,
( sk_c5 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f48,f1982]) ).
fof(f1982,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f1910,f1597]) ).
fof(f1597,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1560,f1223]) ).
fof(f1223,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f1198,f28]) ).
fof(f1198,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1178,f218]) ).
fof(f218,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f48,f2]) ).
fof(f1178,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f228,f218]) ).
fof(f1560,plain,
( sk_c2 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f1198,f32]) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1910,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f1909,f711]) ).
fof(f1909,plain,
( identity = sk_c5
| sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f6,f1265]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f1790,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f3,f1788]) ).
fof(f1788,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f1787,f711]) ).
fof(f1787,plain,
( identity = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1 ),
inference(forward_demodulation,[],[f4,f1265]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f48,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f41,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f1949,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
fof(f1948,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23,f18,f991,f468]) ).
fof(f468,plain,
( sk_c5 != inverse(sk_c4)
| spl0_5 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl0_5
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f991,plain,
( sk_c6 = inverse(sk_c2)
| spl0_5 ),
inference(subsumption_resolution,[],[f15,f468]) ).
fof(f18,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f31,plain,
( sk_c6 != inverse(sk_c2)
| spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f1155,plain,
identity = inverse(identity),
inference(superposition,[],[f823,f218]) ).
fof(f22,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c3)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f24,axiom,
! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f14,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f1158,plain,
identity = inverse(identity),
inference(superposition,[],[f218,f823]) ).
fof(f1200,plain,
identity = inverse(identity),
inference(superposition,[],[f1178,f2]) ).
fof(f1201,plain,
identity = inverse(identity),
inference(superposition,[],[f1178,f217]) ).
fof(f1207,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f1178]) ).
fof(f1208,plain,
identity = inverse(identity),
inference(superposition,[],[f217,f1178]) ).
fof(f1268,plain,
identity = inverse(identity),
inference(superposition,[],[f1177,f1]) ).
fof(f1272,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f1177]) ).
fof(f1391,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1209,f1198]) ).
fof(f1209,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f823,f1178]) ).
fof(f1392,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1202,f1198]) ).
fof(f1202,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1178,f823]) ).
fof(f1310,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f1179]) ).
fof(f1304,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f1179,f3]) ).
fof(f1179,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f228,f48]) ).
fof(f1278,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f1177]) ).
fof(f1285,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1276,f1]) ).
fof(f1276,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f1177]) ).
fof(f1271,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f1177,f3]) ).
fof(f1232,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f1198]) ).
fof(f1231,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f48,f1198]) ).
fof(f1220,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1213,f1178]) ).
fof(f1213,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f228,f1178]) ).
fof(f1205,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f218,f1178]) ).
fof(f1217,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1203,f1178]) ).
fof(f1203,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f1178,f228]) ).
fof(f1185,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f48,f228]) ).
fof(f1184,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f218,f228]) ).
fof(f1182,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f48,f228]) ).
fof(f1181,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f228]) ).
fof(f1170,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f1157,f1]) ).
fof(f1157,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f823]) ).
fof(f1156,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f48,f823]) ).
fof(f823,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f48,f218]) ).
fof(f1002,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| spl0_5 ),
inference(subsumption_resolution,[],[f18,f468]) ).
fof(f606,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f48,f217]) ).
fof(f833,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f824,f1]) ).
fof(f824,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f218]) ).
fof(f217,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f48,f1]) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c1)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f220,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f48,f3]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f5,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f1947,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1946]) ).
fof(f1946,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23,f18,f991]) ).
fof(f1945,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1944,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23,f18]) ).
fof(f1943,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1942,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(global_subsumption,[],[f1941,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1941,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f24,f1788]) ).
fof(f1940,plain,
( spl0_2
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1939,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(global_subsumption,[],[f1225,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1225,plain,
( sk_c3 = inverse(sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f1198,f473]) ).
fof(f1938,plain,
( spl0_2
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1937,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(global_subsumption,[],[f473,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1936,plain,
( spl0_2
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1935,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(global_subsumption,[],[f1772,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1772,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl0_6 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f473,f596,f217,f218,f833,f606,f818,f600,f595,f597,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f23,f22,f14,f24,f18,f8,f19,f4,f7]) ).
fof(f597,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_6 ),
inference(superposition,[],[f48,f596]) ).
fof(f595,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f48,f473]) ).
fof(f600,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f598,f1]) ).
fof(f598,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f596]) ).
fof(f818,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_6 ),
inference(superposition,[],[f218,f473]) ).
fof(f596,plain,
( identity = multiply(sk_c5,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f473]) ).
fof(f1934,plain,
( spl0_2
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1933]) ).
fof(f1933,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(global_subsumption,[],[f1773,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1773,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl0_6 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f473,f596,f217,f218,f833,f606,f818,f600,f595,f597,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f23,f14,f24,f18,f8,f19,f4,f7,f1772,f22]) ).
fof(f1932,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1931]) ).
fof(f1931,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(global_subsumption,[],[f1789,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1789,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f48,f1788]) ).
fof(f1930,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1929,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(global_subsumption,[],[f1928,f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1926,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1925,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f1155,f31,f20,f15,f21,f16,f23]) ).
fof(f1924,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31,f20,f15,f21,f16]) ).
fof(f1922,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1921]) ).
fof(f1921,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31,f20,f15,f21]) ).
fof(f1920,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1919]) ).
fof(f1919,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31,f20,f15]) ).
fof(f1918,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1917]) ).
fof(f1917,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(global_subsumption,[],[f1916,f15,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31,f20]) ).
fof(f1916,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f1915,f711]) ).
fof(f1915,plain,
( identity = sk_c5
| sk_c6 = inverse(sk_c2)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5,f1265]) ).
fof(f1914,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1913,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f15,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31,f20]) ).
fof(f1912,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1911,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| spl0_7 ),
inference(global_subsumption,[],[f1910,f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31]) ).
fof(f1908,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1907,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f991,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f8,f19,f4,f7,f22,f23,f1155,f31]) ).
fof(f1906,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f28,f410,f17,f476,f479,f477,f475,f480,f483,f596,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f218,f833,f606,f818,f600,f595,f597,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1173,f813,f416,f413,f1223,f1583,f1588,f409,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1591,f1582,f690,f14,f24,f18,f711,f469,f1732,f1733,f1734,f1739,f1737,f1738,f1740,f1741,f1749,f1745,f1746,f1658,f1731,f1761,f1771,f8,f19,f4,f7,f1772,f22,f1773,f23,f1774,f473,f599,f1265,f1782,f1736,f1786,f1788,f1790,f1791,f1793,f1155,f1810,f1813,f1814,f1816,f1818,f1820,f1827,f1829,f1830,f1834,f1290,f1894,f1896,f1897,f1900,f1903,f1904,f1706,f1750,f1811,f31]) ).
fof(f1811,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f711,f1810]) ).
fof(f1750,plain,
( identity != sk_c6
| spl0_11 ),
inference(superposition,[],[f1658,f1178]) ).
fof(f1706,plain,
( identity != sk_c6
| spl0_11 ),
inference(superposition,[],[f1658,f1178]) ).
fof(f1904,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f28,f410,f17,f476,f479,f477,f475,f480,f483,f596,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f218,f833,f606,f818,f600,f595,f597,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1173,f813,f416,f413,f1223,f1583,f1588,f409,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1591,f1582,f690,f14,f24,f18,f711,f469,f1732,f1733,f1734,f1739,f1737,f1738,f1740,f1741,f1749,f1745,f1746,f1731,f1761,f1771,f8,f19,f4,f7,f1772,f22,f1773,f23,f1774,f473,f599,f1265,f1782,f1736,f1786,f1788,f1790,f1791,f1793,f1155,f1810,f1813,f1814,f1816,f1818,f1820,f1827,f1829,f1830,f1834,f1290,f1811,f1894,f1896,f1900,f1903]) ).
fof(f1903,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1902,f1265]) ).
fof(f1902,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1901,f1810]) ).
fof(f1901,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f6,f1810]) ).
fof(f1900,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1899,f711]) ).
fof(f1899,plain,
( identity = sk_c5
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1898,f410]) ).
fof(f1898,plain,
( sk_c5 = multiply(sk_c6,sk_c1)
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f20,f1818]) ).
fof(f1897,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_11 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f28,f410,f17,f476,f479,f477,f475,f480,f483,f596,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f218,f833,f606,f818,f600,f595,f597,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1173,f813,f416,f413,f1223,f1583,f1588,f409,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1591,f1582,f690,f14,f24,f18,f711,f469,f1732,f1733,f1734,f1739,f1737,f1738,f1740,f1741,f1749,f1745,f1746,f1658,f1731,f1761,f1771,f8,f19,f4,f7,f1772,f22,f1773,f23,f1774,f473,f599,f1265,f1782,f1736,f1786,f1788,f1790,f1791,f1793,f1155,f1810,f1813,f1814,f1816,f1818,f1820,f1827,f1829,f1830,f1834,f1290,f1811,f1750,f1706,f1894,f1896]) ).
fof(f1896,plain,
( identity = sk_c6
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1895,f1265]) ).
fof(f1895,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f5,f1810]) ).
fof(f1894,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1893,f711]) ).
fof(f1893,plain,
( identity = sk_c5
| sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1892,f410]) ).
fof(f1892,plain,
( sk_c5 = multiply(sk_c6,sk_c1)
| sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1891,f1818]) ).
fof(f1891,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f21,f1810]) ).
fof(f1290,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1179,f28]) ).
fof(f1834,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f3,f1830]) ).
fof(f1830,plain,
( sk_c6 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1828,f1223]) ).
fof(f1828,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f48,f1827]) ).
fof(f1829,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f3,f1827]) ).
fof(f1827,plain,
( sk_c1 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1816,f1818]) ).
fof(f1820,plain,
( sk_c6 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1791,f1818]) ).
fof(f1818,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1815,f1223]) ).
fof(f1815,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1738,f1810]) ).
fof(f1816,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1788,f1810]) ).
fof(f1814,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1736,f1810]) ).
fof(f1813,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1731,f1810]) ).
fof(f1810,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1809,f711]) ).
fof(f1809,plain,
( identity = sk_c5
| sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1808,f1265]) ).
fof(f1808,plain,
( sk_c6 = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1807,f1791]) ).
fof(f1807,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f8,f599]) ).
fof(f1793,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_5
| spl0_7 ),
inference(superposition,[],[f3,f1791]) ).
fof(f1791,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_5
| spl0_7 ),
inference(forward_demodulation,[],[f1789,f1738]) ).
fof(f1786,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1784,f1]) ).
fof(f1784,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f1736]) ).
fof(f1736,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f1177,f469]) ).
fof(f1782,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1780,f1]) ).
fof(f1780,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f1265]) ).
fof(f599,plain,
( sk_c4 = sk_c3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f597,f477]) ).
fof(f1774,plain,
( sk_c4 = sk_c3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1225,f1738]) ).
fof(f1771,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f24,f469]) ).
fof(f1761,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1759,f1]) ).
fof(f1759,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f1731]) ).
fof(f1731,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f469]) ).
fof(f1658,plain,
( identity != multiply(sk_c6,identity)
| spl0_11 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1657,plain,
( spl0_11
<=> identity = multiply(sk_c6,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1746,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f1179,f1738]) ).
fof(f1745,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f1177,f1738]) ).
fof(f1749,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1744,f1198]) ).
fof(f1744,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f823,f1738]) ).
fof(f1741,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f1738]) ).
fof(f1740,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f1738]) ).
fof(f1738,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f1198,f469]) ).
fof(f1737,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f1179,f469]) ).
fof(f1739,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1735,f1198]) ).
fof(f1735,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f823,f469]) ).
fof(f1734,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_5 ),
inference(superposition,[],[f228,f469]) ).
fof(f1733,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_5 ),
inference(superposition,[],[f218,f469]) ).
fof(f1732,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f469]) ).
fof(f469,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f690,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f687,f610]) ).
fof(f687,plain,
( inverse(sk_c5) = multiply(sk_c4,identity)
| ~ spl0_5 ),
inference(superposition,[],[f611,f668]) ).
fof(f1582,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f2,f1223]) ).
fof(f1591,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1586,f1198]) ).
fof(f1586,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f823,f1223]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f48,f28]) ).
fof(f1588,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1179,f1223]) ).
fof(f1583,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f48,f1223]) ).
fof(f413,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f48,f410]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f414,f1]) ).
fof(f414,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f410]) ).
fof(f813,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f218,f28]) ).
fof(f1173,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c1,X0)
| ~ spl0_1 ),
inference(superposition,[],[f228,f28]) ).
fof(f691,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f688,f477]) ).
fof(f688,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f668]) ).
fof(f668,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_5 ),
inference(superposition,[],[f654,f2]) ).
fof(f674,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f654]) ).
fof(f673,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_5 ),
inference(superposition,[],[f2,f654]) ).
fof(f654,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_5 ),
inference(superposition,[],[f489,f611]) ).
fof(f667,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f666,f1]) ).
fof(f666,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f650]) ).
fof(f665,plain,
( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c5))))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f650]) ).
fof(f650,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f48,f487]) ).
fof(f664,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f663,f1]) ).
fof(f663,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f659]) ).
fof(f662,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f659]) ).
fof(f659,plain,
( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f48,f655]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f660,f1]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f655]) ).
fof(f655,plain,
( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_5 ),
inference(superposition,[],[f489,f609]) ).
fof(f656,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_5 ),
inference(superposition,[],[f48,f489]) ).
fof(f489,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f488,f1]) ).
fof(f488,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f480]) ).
fof(f652,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f651,f1]) ).
fof(f651,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f487]) ).
fof(f487,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f480]) ).
fof(f611,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f482,f48]) ).
fof(f633,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5 ),
inference(superposition,[],[f475,f609]) ).
fof(f610,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_5 ),
inference(superposition,[],[f482,f477]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f635,f1]) ).
fof(f635,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f609]) ).
fof(f636,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f634,f469]) ).
fof(f634,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f609]) ).
fof(f609,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f482,f2]) ).
fof(f616,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f482]) ).
fof(f615,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_5 ),
inference(superposition,[],[f477,f482]) ).
fof(f613,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f482]) ).
fof(f612,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f482]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f481,f1]) ).
fof(f481,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f477]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_5 ),
inference(superposition,[],[f48,f475]) ).
fof(f480,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f48,f477]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f48,f469]) ).
fof(f477,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_5 ),
inference(superposition,[],[f48,f476]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f478,f1]) ).
fof(f478,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f476]) ).
fof(f476,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f469]) ).
fof(f410,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f28]) ).
fof(f1890,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1889]) ).
fof(f1889,plain,
( $false
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f14,f24,f18,f1658,f8,f19,f4,f7,f22,f23,f1155,f1750,f1706,f1655]) ).
fof(f1655,plain,
( identity = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1888,plain,
( spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1887,plain,
( $false
| spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1661,f1155]) ).
fof(f1661,plain,
( identity != inverse(identity)
| spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f194,f1655]) ).
fof(f194,plain,
( sk_c6 != inverse(sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_3
<=> sk_c6 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1886,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1885]) ).
fof(f1885,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1884,f1819]) ).
fof(f1819,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(superposition,[],[f1817,f1818]) ).
fof(f1817,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1812,f410]) ).
fof(f1812,plain,
( sk_c4 != multiply(sk_c6,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(superposition,[],[f715,f1810]) ).
fof(f715,plain,
( sk_c4 != multiply(sk_c5,sk_c1)
| spl0_8 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f714,plain,
( spl0_8
<=> sk_c4 = multiply(sk_c5,sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1884,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1664,f1155]) ).
fof(f1664,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f1223,f1655]) ).
fof(f1883,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1882]) ).
fof(f1882,plain,
( $false
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1655,f14,f24,f18,f1658,f8,f19,f4,f7,f22,f23,f1155,f1750,f1706]) ).
fof(f1881,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1880]) ).
fof(f1880,plain,
( $false
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1655,f14,f24,f18,f1706,f1658,f8,f19,f4,f7,f22,f23,f1155,f1750]) ).
fof(f1879,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1878]) ).
fof(f1878,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f1811,f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1655,f14,f24,f18,f1706,f1658,f8,f19,f4,f7,f22,f23,f1155]) ).
fof(f1877,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1876]) ).
fof(f1876,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f1875,f15,f20,f5,f1,f2,f10,f3,f48,f220,f21,f6,f16,f13,f11,f9,f12,f17,f217,f218,f833,f606,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1655,f14,f24,f18,f1706,f1658,f8,f19,f4,f7,f22,f23,f1155]) ).
fof(f1875,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(duplicate_literal_removal,[],[f1874]) ).
fof(f1874,plain,
( identity = sk_c6
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1873,f1265]) ).
fof(f1873,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1867,f1810]) ).
fof(f1867,plain,
( identity = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1866,f1265]) ).
fof(f1866,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1723,f1810]) ).
fof(f1723,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6,f1597]) ).
fof(f1872,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1871,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(subsumption_resolution,[],[f1870,f1654]) ).
fof(f1870,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f1869,f1265]) ).
fof(f1869,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f1868,f1810]) ).
fof(f1868,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_10 ),
inference(subsumption_resolution,[],[f1867,f1654]) ).
fof(f1770,plain,
( ~ spl0_1
| spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1769]) ).
fof(f1769,plain,
( $false
| ~ spl0_1
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1768,f711]) ).
fof(f1768,plain,
( identity = sk_c5
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f1766,f2]) ).
fof(f1766,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f48,f1757]) ).
fof(f1757,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f1755,f28]) ).
fof(f1755,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c5)
| spl0_6 ),
inference(superposition,[],[f48,f1718]) ).
fof(f1718,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| spl0_6 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f21,f19,f8,f6,f4,f16,f14,f13,f11,f9,f12,f17,f217,f218,f833,f606,f18,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f472,f23,f1716,f22,f1717,f7]) ).
fof(f1717,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_6 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f21,f19,f8,f6,f4,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f472,f23,f1716,f22]) ).
fof(f1716,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_6 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1392,f1391,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f472,f23]) ).
fof(f472,plain,
( sk_c5 != inverse(sk_c3)
| spl0_6 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f1715,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1714,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1661,f1427]) ).
fof(f1427,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1071,f735]) ).
fof(f735,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f720,f2]) ).
fof(f720,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f477,f712]) ).
fof(f712,plain,
( identity = sk_c5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f1071,plain,
( identity = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f469,f712]) ).
fof(f1713,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1712,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1711,f777]) ).
fof(f777,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f776,f735]) ).
fof(f776,plain,
( sk_c1 != sk_c4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f775,plain,
( sk_c4 != multiply(identity,sk_c1)
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f715,f712]) ).
fof(f1711,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1664,f1427]) ).
fof(f1710,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1709,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f1708,f1658]) ).
fof(f1708,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1685,f735]) ).
fof(f1685,plain,
( identity = multiply(sk_c6,sk_c4)
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f472,f217,f218,f833,f606,f18,f712,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1469,f1512,f1513,f1514,f1067,f1515,f1517,f1519,f1522,f1526,f1528,f1535,f1538,f1541,f1207,f1201,f1200,f1158,f1155,f1064,f1544,f1392,f1391,f1272,f1268,f1208,f1532]) ).
fof(f1532,plain,
( sk_c6 = sk_c4
| identity = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1531,f1]) ).
fof(f1531,plain,
( sk_c4 = multiply(identity,sk_c6)
| identity = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1530,f712]) ).
fof(f1530,plain,
( identity = multiply(sk_c6,sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f19,f712]) ).
fof(f1544,plain,
( identity = multiply(sk_c6,sk_c4)
| identity = multiply(sk_c3,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1543,f712]) ).
fof(f1543,plain,
( identity = multiply(sk_c3,sk_c4)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f23,f712]) ).
fof(f1064,plain,
( identity = multiply(sk_c3,sk_c4)
| identity = inverse(sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1063,f712]) ).
fof(f1063,plain,
( identity = inverse(sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f18,f712]) ).
fof(f1541,plain,
( identity = multiply(sk_c6,sk_c4)
| identity = inverse(sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1540,f712]) ).
fof(f1540,plain,
( identity = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f22,f712]) ).
fof(f1538,plain,
( identity = multiply(sk_c1,sk_c6)
| identity = inverse(sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1537,f712]) ).
fof(f1537,plain,
( identity = inverse(sk_c3)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f7,f712]) ).
fof(f1535,plain,
( sk_c6 = sk_c4
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1534,f1]) ).
fof(f1534,plain,
( sk_c4 = multiply(identity,sk_c6)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1533,f712]) ).
fof(f1533,plain,
( identity = multiply(sk_c1,sk_c6)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f4,f712]) ).
fof(f1528,plain,
( identity = multiply(sk_c1,sk_c6)
| identity = multiply(sk_c3,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1527,f712]) ).
fof(f1527,plain,
( identity = multiply(sk_c3,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f8,f712]) ).
fof(f1526,plain,
( sk_c6 = sk_c4
| identity = inverse(sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1525,f1]) ).
fof(f1525,plain,
( sk_c4 = multiply(identity,sk_c6)
| identity = inverse(sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1524,f712]) ).
fof(f1524,plain,
( identity = inverse(sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f14,f712]) ).
fof(f1522,plain,
( identity = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1521,f712]) ).
fof(f1521,plain,
( sk_c6 = multiply(sk_c2,identity)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f6,f712]) ).
fof(f1519,plain,
( identity = multiply(sk_c6,sk_c4)
| sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f20,f712]) ).
fof(f1517,plain,
( identity = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f5,f712]) ).
fof(f1515,plain,
( identity = inverse(sk_c4)
| sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f15,f712]) ).
fof(f1067,plain,
( sk_c6 = multiply(sk_c2,identity)
| identity = inverse(sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1066,f712]) ).
fof(f1066,plain,
( identity = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f16,f712]) ).
fof(f1514,plain,
( identity = multiply(sk_c6,sk_c4)
| sk_c6 = multiply(sk_c2,identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1139,f712]) ).
fof(f1139,plain,
( sk_c6 = multiply(sk_c2,identity)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f712]) ).
fof(f1513,plain,
( ! [X3,X4,X5] :
( sk_c6 != sk_c4
| identity != multiply(X3,sk_c6)
| identity != multiply(X5,sk_c6)
| identity != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4) )
| ~ spl0_7 ),
inference(inner_rewriting,[],[f1512]) ).
fof(f1512,plain,
( ! [X3,X4,X5] :
( sk_c6 != sk_c4
| identity != multiply(X3,sk_c6)
| identity != multiply(X5,sk_c4)
| identity != multiply(sk_c6,sk_c4)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1511,f1]) ).
fof(f1511,plain,
( ! [X3,X4,X5] :
( sk_c4 != multiply(identity,sk_c6)
| identity != multiply(X3,sk_c6)
| identity != multiply(X5,sk_c4)
| identity != multiply(sk_c6,sk_c4)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1510,f712]) ).
fof(f1510,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,sk_c6)
| identity != multiply(X5,sk_c4)
| identity != multiply(sk_c6,sk_c4)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1509,f712]) ).
fof(f1509,plain,
( ! [X3,X4,X5] :
( identity != multiply(X5,sk_c4)
| identity != multiply(sk_c6,sk_c4)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1508,f712]) ).
fof(f1508,plain,
( ! [X3,X4,X5] :
( identity != multiply(sk_c6,sk_c4)
| sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1507,f712]) ).
fof(f1507,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1506,f712]) ).
fof(f1506,plain,
( ! [X3,X4,X5] :
( identity != inverse(X5)
| identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1505,f712]) ).
fof(f1505,plain,
( ! [X3,X4,X5] :
( identity != inverse(sk_c4)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f24,f712]) ).
fof(f1469,plain,
( identity != inverse(sk_c3)
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f472,f712]) ).
fof(f1682,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1681]) ).
fof(f1681,plain,
( $false
| spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1675,f1654]) ).
fof(f1675,plain,
( identity = sk_c6
| ~ spl0_11 ),
inference(superposition,[],[f1178,f1659]) ).
fof(f1659,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1680,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1679]) ).
fof(f1679,plain,
( $false
| spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1674,f1654]) ).
fof(f1674,plain,
( identity = sk_c6
| ~ spl0_11 ),
inference(superposition,[],[f1659,f1178]) ).
fof(f1672,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1671,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1670,f777]) ).
fof(f1670,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1664,f1562]) ).
fof(f1562,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1547,f1117]) ).
fof(f1117,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1116,f2]) ).
fof(f1116,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f597,f712]) ).
fof(f1547,plain,
( identity = inverse(sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f473,f712]) ).
fof(f1669,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1661,f1562]) ).
fof(f1660,plain,
( spl0_10
| spl0_11
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1631,f710,f471,f467,f1657,f1653]) ).
fof(f1631,plain,
( identity = multiply(sk_c6,identity)
| identity = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1630,f1615]) ).
fof(f1615,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f1614,f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f469,f476,f479,f477,f475,f480,f483,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f606,f18,f712,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1391,f1392,f1422,f749,f1427,f1445,f1446,f1512,f1513,f1514,f1067,f1515,f1517,f1519,f1522,f1526,f1528,f1532,f1535,f1538,f1541,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f1064,f1544]) ).
fof(f1446,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f1445,f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155]) ).
fof(f1445,plain,
( identity = inverse(identity)
| identity = multiply(sk_c3,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1418,f735]) ).
fof(f1418,plain,
( identity = multiply(sk_c3,identity)
| identity = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1064,f735]) ).
fof(f749,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f740,f712]) ).
fof(f740,plain,
( sk_c5 = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f469,f735]) ).
fof(f1422,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1070,f735]) ).
fof(f1070,plain,
( sk_c4 = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f690,f712]) ).
fof(f734,plain,
( sk_c4 = inverse(identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f690,f712]) ).
fof(f733,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f668,f712]) ).
fof(f732,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f659,f712]) ).
fof(f731,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f655,f712]) ).
fof(f739,plain,
( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f730,f1]) ).
fof(f730,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f654,f712]) ).
fof(f729,plain,
( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f650,f712]) ).
fof(f738,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f727,f1]) ).
fof(f727,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f611,f712]) ).
fof(f726,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f609,f712]) ).
fof(f724,plain,
( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c4,X0)) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f489,f712]) ).
fof(f723,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f487,f712]) ).
fof(f736,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f722,f217]) ).
fof(f722,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f482,f712]) ).
fof(f721,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f480,f712]) ).
fof(f719,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f476,f712]) ).
fof(f718,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f475,f712]) ).
fof(f1614,plain,
( identity = sk_c4
| identity = multiply(sk_c6,sk_c4)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1613,f1]) ).
fof(f1613,plain,
( identity = multiply(identity,sk_c4)
| identity = multiply(sk_c6,sk_c4)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1544,f1117]) ).
fof(f1630,plain,
( identity = sk_c6
| identity = multiply(sk_c6,sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1532,f1615]) ).
fof(f1612,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1609,f1562]) ).
fof(f1609,plain,
( identity != inverse(identity)
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1550,f1602]) ).
fof(f1602,plain,
( identity = sk_c4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1599,f1]) ).
fof(f1599,plain,
( identity = multiply(identity,sk_c4)
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1529,f1117]) ).
fof(f1529,plain,
( identity = multiply(sk_c3,sk_c4)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f712,f1041,f1064,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1512,f1513,f1514,f1067,f1515,f1516,f1517,f1518,f1519,f1520,f1522,f1526,f1528]) ).
fof(f1520,plain,
( sk_c6 = inverse(sk_c2)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f712,f1041,f1064,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1512,f1513,f1514,f1067,f1515,f1516,f1517,f1518,f1519]) ).
fof(f1518,plain,
( sk_c6 = inverse(sk_c2)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f712,f1041,f1064,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1512,f1513,f1514,f1067,f1515,f1516,f1517]) ).
fof(f1516,plain,
( sk_c6 = inverse(sk_c2)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f1515,f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155]) ).
fof(f1041,plain,
( identity = multiply(sk_c3,sk_c4)
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1002,f712]) ).
fof(f1550,plain,
( identity != inverse(sk_c4)
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f468,f712]) ).
fof(f1566,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1565,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f473,f596,f217,f218,f833,f606,f716,f867,f866,f818,f600,f595,f597,f18,f468,f1002,f712,f1013,f1039,f1041,f1015,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1391,f1392,f1512,f1513,f1514,f1067,f1515,f1516,f1517,f1518,f1519,f1520,f1522,f1526,f1528,f1529,f1532,f1535,f1538,f1541,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f1467,f1064,f1542,f1544,f1545,f1390,f1546,f1420,f1547,f991,f1026,f1550,f1056,f1036,f1117,f1562,f1564]) ).
fof(f1564,plain,
( identity != inverse(identity)
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1563,f1036]) ).
fof(f1563,plain,
( identity != inverse(sk_c1)
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1550,f1056]) ).
fof(f1036,plain,
( identity = sk_c1
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1035,f1]) ).
fof(f1035,plain,
( sk_c1 = multiply(identity,identity)
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1034,f712]) ).
fof(f1034,plain,
( sk_c1 = multiply(sk_c5,identity)
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1032,f473]) ).
fof(f1032,plain,
( sk_c1 = multiply(inverse(sk_c3),identity)
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f48,f1026]) ).
fof(f1056,plain,
( sk_c1 = sk_c4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1055,f1]) ).
fof(f1055,plain,
( sk_c4 = multiply(identity,sk_c1)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f716,f712]) ).
fof(f1026,plain,
( identity = multiply(sk_c3,sk_c1)
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1025,f712]) ).
fof(f1025,plain,
( sk_c5 = multiply(sk_c3,sk_c1)
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1002,f1015]) ).
fof(f1420,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1121,f712]) ).
fof(f1121,plain,
( sk_c5 = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f473,f1117]) ).
fof(f1546,plain,
( sk_c3 = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1225,f712]) ).
fof(f1390,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1234,f1117]) ).
fof(f1234,plain,
( sk_c3 = inverse(identity)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1225,f712]) ).
fof(f1545,plain,
( identity = multiply(sk_c3,sk_c4)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f712,f1041,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1391,f1392,f1512,f1513,f1514,f1067,f1515,f1516,f1517,f1518,f1519,f1520,f1522,f1526,f1528,f1529,f1532,f1535,f1538,f1541,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f1064,f1542,f1544]) ).
fof(f1542,plain,
( identity = multiply(sk_c3,sk_c4)
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f468,f1002,f712,f1041,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1391,f1392,f1512,f1513,f1514,f1067,f1515,f1516,f1517,f1518,f1519,f1520,f1522,f1526,f1528,f1529,f1532,f1535,f1538,f1541,f1272,f1268,f1208,f1207,f1201,f1200,f1158,f1155,f1064]) ).
fof(f1467,plain,
( sk_c1 = sk_c4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1466,f1]) ).
fof(f1466,plain,
( sk_c4 = multiply(identity,sk_c1)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f716,f712]) ).
fof(f1015,plain,
( sk_c1 = sk_c4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1014,f1]) ).
fof(f1014,plain,
( sk_c4 = multiply(identity,sk_c1)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f716,f712]) ).
fof(f1039,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c1,X0)) = X0
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1033,f1]) ).
fof(f1033,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c1,X0))
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f1026]) ).
fof(f1013,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f596,f712]) ).
fof(f866,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f48,f716]) ).
fof(f867,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f716]) ).
fof(f716,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f1504,plain,
( spl0_9
| spl0_9
| spl0_9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1501,f710,f471,f467,f192,f26,f1328,f1328,f1328]) ).
fof(f1328,plain,
( spl0_9
<=> ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1501,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1389,f531]) ).
fof(f531,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f530,f492]) ).
fof(f492,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(forward_demodulation,[],[f491,f429]) ).
fof(f429,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f410,f425]) ).
fof(f425,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f419,f415]) ).
fof(f415,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f413,f193]) ).
fof(f193,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f419,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f417,f193]) ).
fof(f417,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl0_3 ),
inference(superposition,[],[f48,f412]) ).
fof(f412,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f2,f193]) ).
fof(f491,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_3
| spl0_6 ),
inference(forward_demodulation,[],[f490,f425]) ).
fof(f490,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| spl0_6 ),
inference(subsumption_resolution,[],[f7,f472]) ).
fof(f530,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f529,f415]) ).
fof(f529,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f528,f497]) ).
fof(f497,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f495,f2]) ).
fof(f495,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f477,f492]) ).
fof(f528,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_6 ),
inference(subsumption_resolution,[],[f22,f472]) ).
fof(f1389,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != sk_c1
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1388,f1]) ).
fof(f1388,plain,
( ! [X3,X4,X5] :
( identity != multiply(identity,identity)
| identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != sk_c1
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(inner_rewriting,[],[f1387]) ).
fof(f1387,plain,
( ! [X3,X4,X5] :
( identity != multiply(identity,sk_c1)
| identity != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f469,f476,f479,f477,f475,f480,f592,f483,f594,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f686,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f856,f606,f18,f986,f960,f983,f989,f712,f1061,f1064,f749,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1386]) ).
fof(f1386,plain,
( ! [X3,X4,X5] :
( identity != multiply(identity,sk_c1)
| identity != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1385,f712]) ).
fof(f1385,plain,
( ! [X3,X4,X5] :
( identity != multiply(sk_c5,sk_c1)
| identity != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1384,f425]) ).
fof(f1384,plain,
( ! [X3,X4,X5] :
( identity != multiply(sk_c5,sk_c6)
| identity != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1383,f735]) ).
fof(f1383,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1382,f712]) ).
fof(f1382,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1381,f425]) ).
fof(f1381,plain,
( ! [X3,X4,X5] :
( identity != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1380,f712]) ).
fof(f1380,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X5,identity)
| identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1379,f735]) ).
fof(f1379,plain,
( ! [X3,X4,X5] :
( identity != sk_c1
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1378,f712]) ).
fof(f1378,plain,
( ! [X3,X4,X5] :
( sk_c1 != sk_c5
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1377,f415]) ).
fof(f1377,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(sk_c6,identity)
| sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1376,f735]) ).
fof(f1376,plain,
( ! [X3,X4,X5] :
( sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1375,f425]) ).
fof(f1375,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1374,f712]) ).
fof(f1374,plain,
( ! [X3,X4,X5] :
( identity != inverse(X5)
| identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1373,f712]) ).
fof(f1373,plain,
( ! [X3,X4,X5] :
( identity != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1372,f712]) ).
fof(f1372,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(identity)
| sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1371,f735]) ).
fof(f1371,plain,
( ! [X3,X4,X5] :
( sk_c1 != inverse(X4)
| sk_c1 != inverse(X3)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1236,f425]) ).
fof(f1236,plain,
( ! [X3,X4,X5] :
( sk_c1 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f24,f425]) ).
fof(f1061,plain,
( identity = inverse(sk_c4)
| sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1060,f712]) ).
fof(f1060,plain,
( sk_c1 = sk_c4
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1059,f1]) ).
fof(f1059,plain,
( sk_c4 = multiply(identity,sk_c1)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f966,f712]) ).
fof(f966,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f14,f425]) ).
fof(f989,plain,
( identity = sk_c5
| sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f988,f429]) ).
fof(f988,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f987,f425]) ).
fof(f987,plain,
( sk_c1 = inverse(sk_c2)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f5,f425]) ).
fof(f983,plain,
( identity = sk_c5
| sk_c1 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f982,f429]) ).
fof(f982,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c1 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f981,f425]) ).
fof(f981,plain,
( sk_c1 = multiply(sk_c2,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6,f425]) ).
fof(f960,plain,
( identity = sk_c5
| sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f959,f429]) ).
fof(f959,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f8,f425]) ).
fof(f986,plain,
( sk_c5 = multiply(sk_c1,sk_c4)
| sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f985,f425]) ).
fof(f985,plain,
( sk_c1 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f20,f425]) ).
fof(f856,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| sk_c5 = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f855,f425]) ).
fof(f855,plain,
( sk_c5 = multiply(sk_c1,sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f19,f425]) ).
fof(f686,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| identity = sk_c5
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f685,f425]) ).
fof(f685,plain,
( identity = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f684,f429]) ).
fof(f684,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4,f425]) ).
fof(f594,plain,
( identity = sk_c5
| sk_c5 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f593,f429]) ).
fof(f593,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c5 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f7,f425]) ).
fof(f592,plain,
( sk_c5 = multiply(sk_c1,sk_c4)
| sk_c5 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f22,f425]) ).
fof(f454,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f409,f425]) ).
fof(f457,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f420,f425]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f416,f425]) ).
fof(f455,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f411,f425]) ).
fof(f431,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f415,f425]) ).
fof(f449,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f447,f1]) ).
fof(f447,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f429]) ).
fof(f435,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f2,f428]) ).
fof(f434,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f48,f428]) ).
fof(f428,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f193,f425]) ).
fof(f430,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f412,f425]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f422,f1]) ).
fof(f422,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f415]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f418,f1]) ).
fof(f418,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f412]) ).
fof(f411,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f48,f193]) ).
fof(f1444,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f469,f476,f479,f477,f475,f480,f592,f483,f594,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f686,f715,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f856,f606,f18,f986,f960,f983,f989,f712,f776,f1048,f1061,f1064,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1386,f1387,f1389,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1407,f1422,f749,f1427,f1430,f1431,f1432,f1435,f777,f1442]) ).
fof(f1442,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1441,f735]) ).
fof(f1441,plain,
( sk_c1 != sk_c4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1440,f1]) ).
fof(f1440,plain,
( sk_c4 != multiply(identity,sk_c1)
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f715,f712]) ).
fof(f1435,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f776,f735]) ).
fof(f1432,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1048,f735]) ).
fof(f1431,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f1430,f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f833,f606,f18,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155]) ).
fof(f1430,plain,
( identity = sk_c1
| identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1429,f735]) ).
fof(f1429,plain,
( identity = inverse(identity)
| sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1061,f735]) ).
fof(f1407,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f1406]) ).
fof(f1406,plain,
( identity = sk_c1
| identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1405,f712]) ).
fof(f1405,plain,
( sk_c1 = sk_c5
| identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1404,f431]) ).
fof(f1404,plain,
( sk_c5 = multiply(sk_c1,identity)
| identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1403,f735]) ).
fof(f1403,plain,
( identity = sk_c1
| sk_c5 = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1402,f735]) ).
fof(f1402,plain,
( sk_c1 = sk_c4
| sk_c5 = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1401,f1]) ).
fof(f1401,plain,
( sk_c4 = multiply(identity,sk_c1)
| sk_c5 = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f856,f712]) ).
fof(f1048,plain,
( sk_c1 != sk_c4
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f1047,f1]) ).
fof(f1047,plain,
( sk_c4 != multiply(identity,sk_c1)
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f715,f712]) ).
fof(f1439,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1438,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f469,f476,f479,f477,f475,f480,f592,f483,f594,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f686,f715,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f856,f606,f18,f986,f960,f983,f989,f712,f776,f1048,f1061,f1064,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1386,f1387,f1389,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1407,f1422,f749,f1427,f1430,f1431,f1432,f1435,f777]) ).
fof(f1437,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f469,f476,f479,f477,f475,f480,f592,f483,f594,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f686,f715,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f856,f606,f18,f986,f960,f983,f989,f712,f776,f1048,f1061,f1064,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1386,f1387,f1389,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1407,f1422,f749,f1427,f1430,f1431,f1432,f1435]) ).
fof(f1434,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f469,f476,f479,f477,f475,f480,f592,f483,f594,f217,f482,f612,f613,f615,f616,f609,f636,f637,f610,f633,f611,f487,f652,f489,f656,f655,f661,f659,f662,f664,f650,f665,f667,f654,f673,f674,f668,f691,f690,f686,f715,f718,f719,f721,f736,f723,f724,f726,f738,f729,f739,f731,f732,f733,f734,f218,f833,f856,f606,f18,f986,f960,f983,f989,f712,f776,f1048,f1061,f1064,f1070,f1071,f735,f823,f1156,f1170,f228,f1181,f1182,f1184,f1185,f1178,f1217,f1205,f1220,f1198,f1231,f1232,f1177,f1271,f1285,f1278,f1179,f1304,f1310,f1272,f1268,f1386,f1387,f1389,f1391,f1208,f1207,f1392,f1201,f1200,f1158,f1155,f1407,f1422,f749,f1427,f1430,f1431,f1432]) ).
fof(f1363,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1361,f1198]) ).
fof(f1361,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1341,f1198]) ).
fof(f1341,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1338]) ).
fof(f1338,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_9 ),
inference(superposition,[],[f1329,f823]) ).
fof(f1329,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1360,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1342,f1198]) ).
fof(f1342,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1337]) ).
fof(f1337,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(superposition,[],[f1329,f217]) ).
fof(f1358,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1343,f1198]) ).
fof(f1343,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1336]) ).
fof(f1336,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(superposition,[],[f1329,f2]) ).
fof(f1356,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1344,f1099]) ).
fof(f1099,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1078,f1079]) ).
fof(f1079,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f735,f1056]) ).
fof(f1078,plain,
( identity = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1071,f1056]) ).
fof(f1344,plain,
( identity != inverse(identity)
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1335]) ).
fof(f1335,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_9 ),
inference(superposition,[],[f1329,f1]) ).
fof(f1354,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1353,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1352,f1099]) ).
fof(f1352,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1351,f1079]) ).
fof(f1351,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1350,f425]) ).
fof(f1350,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1334,f1079]) ).
fof(f1334,plain,
( identity != sk_c1
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f1329,f415]) ).
fof(f1349,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1347,f1099]) ).
fof(f1347,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1346,f1079]) ).
fof(f1346,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1333,f1079]) ).
fof(f1333,plain,
( identity != sk_c1
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f1329,f431]) ).
fof(f1330,plain,
( spl0_9
| spl0_9
| spl0_9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1261,f714,f710,f471,f467,f192,f26,f1328,f1328,f1328]) ).
fof(f1261,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1260,f1]) ).
fof(f1260,plain,
( ! [X3,X4,X5] :
( identity != multiply(identity,identity)
| identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1259,f712]) ).
fof(f1259,plain,
( ! [X3,X4,X5] :
( identity != multiply(sk_c5,identity)
| identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1258,f1079]) ).
fof(f1258,plain,
( ! [X3,X4,X5] :
( sk_c1 != multiply(sk_c5,sk_c1)
| identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1257,f425]) ).
fof(f1257,plain,
( ! [X3,X4,X5] :
( sk_c1 != multiply(sk_c5,sk_c6)
| identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1256,f1056]) ).
fof(f1256,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1255,f712]) ).
fof(f1255,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X3,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1254,f1079]) ).
fof(f1254,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X3,sk_c1)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1253,f425]) ).
fof(f1253,plain,
( ! [X3,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1252,f712]) ).
fof(f1252,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1251,f1079]) ).
fof(f1251,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X5,sk_c1)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1250,f1056]) ).
fof(f1250,plain,
( ! [X3,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1249,f712]) ).
fof(f1249,plain,
( ! [X3,X4,X5] :
( identity != sk_c5
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1248,f410]) ).
fof(f1248,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c1)
| identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1247,f1056]) ).
fof(f1247,plain,
( ! [X3,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1246,f1079]) ).
fof(f1246,plain,
( ! [X3,X4,X5] :
( sk_c1 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1245,f425]) ).
fof(f1245,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1244,f712]) ).
fof(f1244,plain,
( ! [X3,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1243,f712]) ).
fof(f1243,plain,
( ! [X3,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1242,f1077]) ).
fof(f1077,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1076,f712]) ).
fof(f1076,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1074,f28]) ).
fof(f1074,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f473,f1072]) ).
fof(f1072,plain,
( sk_c1 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f599,f1056]) ).
fof(f1242,plain,
( ! [X3,X4,X5] :
( identity != sk_c6
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1241,f712]) ).
fof(f1241,plain,
( ! [X3,X4,X5] :
( sk_c6 != sk_c5
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1240,f28]) ).
fof(f1240,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(sk_c1)
| identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1239,f1056]) ).
fof(f1239,plain,
( ! [X3,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1238,f1079]) ).
fof(f1238,plain,
( ! [X3,X4,X5] :
( sk_c1 != inverse(X4)
| identity != inverse(X3)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1237,f425]) ).
fof(f1237,plain,
( ! [X3,X4,X5] :
( identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1236,f1079]) ).
fof(f1058,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f473,f596,f217,f686,f218,f823,f833,f856,f606,f716,f867,f866,f818,f600,f595,f597,f18,f468,f980,f986,f992,f960,f1009,f1002,f983,f1010,f989,f1011,f712,f1013,f1039,f1040,f1041,f1044,f1026,f1019,f1018,f1028,f1052,f1015,f1036,f1056]) ).
fof(f1052,plain,
( identity != sk_c6
| ~ spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1051,f712]) ).
fof(f1051,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1016,f28]) ).
fof(f1016,plain,
( sk_c5 != inverse(sk_c1)
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f468,f1015]) ).
fof(f1028,plain,
( identity = multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1027,f712]) ).
fof(f1027,plain,
( sk_c5 = multiply(sk_c3,sk_c1)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1009,f1015]) ).
fof(f1018,plain,
( identity != sk_c6
| ~ spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1017,f712]) ).
fof(f1017,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1016,f28]) ).
fof(f1019,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1018,f425]) ).
fof(f1044,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1043,f1]) ).
fof(f1043,plain,
( sk_c4 = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1042,f712]) ).
fof(f1042,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(subsumption_resolution,[],[f966,f468]) ).
fof(f1040,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1009,f712]) ).
fof(f1011,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f960,f1009,f1002,f983,f1010,f989]) ).
fof(f1010,plain,
( sk_c1 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f989,f960,f1009,f1002,f983]) ).
fof(f1009,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f960,f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f17,f217,f218,f823,f833,f606,f18,f468,f1002]) ).
fof(f992,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f991,f425]) ).
fof(f980,plain,
( sk_c1 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f979,f425]) ).
fof(f979,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_5 ),
inference(subsumption_resolution,[],[f16,f468]) ).
fof(f1054,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f473,f596,f217,f686,f218,f823,f833,f856,f606,f716,f867,f866,f818,f600,f595,f597,f18,f468,f980,f986,f992,f960,f1009,f1002,f983,f1010,f989,f1011,f712,f1013,f1039,f1040,f1041,f1044,f1026,f1019,f1018,f1028,f1052,f1015,f1036]) ).
fof(f1050,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1049,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f715,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f960,f1009,f1002,f983,f1010,f989,f1011,f712,f1040,f1041,f1044,f776,f1048]) ).
fof(f1046,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1045,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f715,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f960,f1009,f1002,f983,f1010,f989,f1011,f712,f1040,f1041,f1044,f776]) ).
fof(f1038,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1037,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1036,f632]) ).
fof(f632,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f631,f428]) ).
fof(f631,plain,
( sk_c1 != inverse(sk_c1)
| identity != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f630,f425]) ).
fof(f630,plain,
( sk_c1 != inverse(sk_c6)
| identity != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f621,f28]) ).
fof(f621,plain,
( identity != sk_c1
| sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f591,f2]) ).
fof(f591,plain,
( ! [X4] :
( sk_c1 != multiply(X4,sk_c1)
| sk_c1 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f560,f425]) ).
fof(f560,plain,
( ! [X4] :
( sk_c1 != multiply(X4,sk_c1)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f197,f425]) ).
fof(f197,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_4
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1008,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1007,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f712,f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993,f989,f983,f1002,f960]) ).
fof(f993,plain,
( sk_c1 != inverse(sk_c2)
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f31,f425]) ).
fof(f1006,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993,f989,f983,f1002,f960]) ).
fof(f1004,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993,f989,f983,f1002]) ).
fof(f1001,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993,f989,f983]) ).
fof(f999,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993,f989]) ).
fof(f997,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f18,f468,f980,f986,f992,f993]) ).
fof(f995,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f711,f18,f962,f961,f968,f984,f986,f990,f993]) ).
fof(f990,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f989,f711]) ).
fof(f984,plain,
( sk_c1 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f983,f711]) ).
fof(f968,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(superposition,[],[f3,f961]) ).
fof(f961,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f960,f711]) ).
fof(f962,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f3,f48,f220,f228,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f430,f428,f434,f435,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f711,f961,f18]) ).
fof(f978,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f976,f711]) ).
fof(f976,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(forward_demodulation,[],[f971,f2]) ).
fof(f971,plain,
( sk_c5 = multiply(inverse(sk_c1),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(superposition,[],[f48,f965]) ).
fof(f965,plain,
( sk_c1 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f15,f20,f5,f1,f2,f10,f32,f34,f3,f51,f48,f220,f228,f240,f223,f24,f23,f21,f19,f8,f6,f4,f22,f16,f14,f13,f11,f9,f7,f12,f28,f409,f193,f411,f410,f416,f412,f419,f420,f415,f424,f425,f427,f430,f428,f434,f435,f426,f440,f439,f445,f444,f429,f449,f431,f455,f456,f457,f454,f17,f592,f594,f217,f686,f218,f823,f833,f856,f606,f863,f711,f961,f18,f962,f964]) ).
fof(f964,plain,
( sk_c1 = multiply(sk_c1,sk_c5)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f963,f425]) ).
fof(f963,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f16,f439]) ).
fof(f863,plain,
( identity = sk_c5
| sk_c1 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f862,f429]) ).
fof(f862,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c1 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f861,f425]) ).
fof(f861,plain,
( sk_c1 = multiply(sk_c1,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f860,f425]) ).
fof(f860,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f6,f439]) ).
fof(f444,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f426,f439]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f443,f425]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f51,f439]) ).
fof(f439,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f438,f415]) ).
fof(f438,plain,
( sk_c2 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f436,f28]) ).
fof(f436,plain,
( sk_c2 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f48,f426]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f437,f1]) ).
fof(f437,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f426]) ).
fof(f426,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f34,f425]) ).
fof(f427,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f51,f425]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_2 ),
inference(superposition,[],[f48,f51]) ).
fof(f240,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_2 ),
inference(superposition,[],[f48,f34]) ).
fof(f51,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f34]) ).
fof(f34,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_2 ),
inference(superposition,[],[f2,f32]) ).
fof(f975,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f973,f711]) ).
fof(f973,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(forward_demodulation,[],[f970,f429]) ).
fof(f970,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_7 ),
inference(superposition,[],[f454,f965]) ).
fof(f958,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f956,f632]) ).
fof(f956,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f935,f1]) ).
fof(f935,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f868,f925]) ).
fof(f925,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f896,f429]) ).
fof(f896,plain,
( sk_c4 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f716,f877]) ).
fof(f877,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f876,f868]) ).
fof(f876,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f859,f711]) ).
fof(f859,plain,
( identity = sk_c5
| sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f858,f429]) ).
fof(f858,plain,
( sk_c5 = multiply(sk_c1,sk_c1)
| sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f857,f425]) ).
fof(f857,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f8,f599]) ).
fof(f868,plain,
( sk_c1 = multiply(sk_c4,sk_c4)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f866,f690]) ).
fof(f938,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f936,f626]) ).
fof(f626,plain,
( sk_c1 != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f620,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f591,f1]) ).
fof(f936,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f926,f877]) ).
fof(f926,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f469,f925]) ).
fof(f853,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f851,f632]) ).
fof(f851,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f845,f2]) ).
fof(f845,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f48,f841]) ).
fof(f841,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f840,f712]) ).
fof(f840,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f839,f425]) ).
fof(f839,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f838,f735]) ).
fof(f838,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f837,f632]) ).
fof(f837,plain,
( identity = sk_c1
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f836,f712]) ).
fof(f836,plain,
( sk_c1 = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f835,f415]) ).
fof(f835,plain,
( sk_c5 = multiply(sk_c6,identity)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f19,f735]) ).
fof(f850,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f849,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f844,f632]) ).
fof(f844,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f1,f841]) ).
fof(f848,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f847,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f842,f632]) ).
fof(f842,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f841,f1]) ).
fof(f717,plain,
( spl0_7
| spl0_8
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f686,f192,f26,f714,f710]) ).
fof(f590,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f588,f506]) ).
fof(f506,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f501,f492]) ).
fof(f501,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f469,f497]) ).
fof(f588,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f570,f506]) ).
fof(f570,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(trivial_inequality_removal,[],[f568]) ).
fof(f568,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f563,f2]) ).
fof(f563,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f562,f531]) ).
fof(f562,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f561,f425]) ).
fof(f561,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f560,f531]) ).
fof(f587,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f571,f506]) ).
fof(f571,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(trivial_inequality_removal,[],[f567]) ).
fof(f567,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f563,f1]) ).
fof(f585,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f583,f506]) ).
fof(f583,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f582,f506]) ).
fof(f582,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f581,f492]) ).
fof(f581,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f566,f497]) ).
fof(f566,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f563,f477]) ).
fof(f580,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f578,f506]) ).
fof(f578,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f577,f531]) ).
fof(f577,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f565,f531]) ).
fof(f565,plain,
( identity != sk_c1
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f563,f431]) ).
fof(f576,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f574,f506]) ).
fof(f574,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f573,f531]) ).
fof(f573,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f572,f425]) ).
fof(f572,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f564,f531]) ).
fof(f564,plain,
( identity != sk_c1
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f563,f415]) ).
fof(f474,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f471,f467]) ).
fof(f408,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f406,f366]) ).
fof(f366,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f193,f263]) ).
fof(f263,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f231,f96]) ).
fof(f96,plain,
( sk_c5 = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f80]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f75,f53]) ).
fof(f53,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f38]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f27]) ).
fof(f27,plain,
( sk_c6 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f75,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c2,sk_c4)
| spl0_1 ),
inference(superposition,[],[f44,f37]) ).
fof(f37,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| spl0_1 ),
inference(subsumption_resolution,[],[f9,f27]) ).
fof(f44,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f38]) ).
fof(f95,plain,
( sk_c4 = multiply(sk_c2,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f76,f83]) ).
fof(f83,plain,
( sk_c4 = multiply(sk_c6,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f80]) ).
fof(f76,plain,
( multiply(sk_c2,sk_c4) = multiply(sk_c6,sk_c5)
| spl0_1 ),
inference(superposition,[],[f44,f57]) ).
fof(f57,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| spl0_1 ),
inference(superposition,[],[f52,f39]) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f27]) ).
fof(f52,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f36]) ).
fof(f36,plain,
( identity = multiply(sk_c5,sk_c3)
| spl0_1 ),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
( sk_c5 = inverse(sk_c3)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f27]) ).
fof(f231,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| spl0_1 ),
inference(superposition,[],[f48,f37]) ).
fof(f406,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f389,f263]) ).
fof(f389,plain,
( identity != inverse(sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( identity != identity
| identity != inverse(sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f365,f146]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f135]) ).
fof(f135,plain,
( identity = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f87,f102]) ).
fof(f102,plain,
( identity = multiply(sk_c6,sk_c3)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f36,f101]) ).
fof(f101,plain,
( sk_c6 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f38]) ).
fof(f97,plain,
( sk_c5 = multiply(sk_c2,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f80,f96]) ).
fof(f87,plain,
( identity = multiply(sk_c6,multiply(sk_c6,sk_c3))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f77]) ).
fof(f77,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c2,identity)
| spl0_1 ),
inference(superposition,[],[f44,f36]) ).
fof(f365,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f364,f263]) ).
fof(f364,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f197,f263]) ).
fof(f405,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f403,f366]) ).
fof(f403,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f402,f263]) ).
fof(f402,plain,
( identity != inverse(sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f390,f164]) ).
fof(f164,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f32,f151]) ).
fof(f151,plain,
( identity = sk_c2
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f146,f34]) ).
fof(f390,plain,
( identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( identity != identity
| identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f365,f2]) ).
fof(f401,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f391,f366]) ).
fof(f391,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f385]) ).
fof(f385,plain,
( identity != identity
| identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f365,f1]) ).
fof(f399,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f397,f366]) ).
fof(f397,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f392,f263]) ).
fof(f392,plain,
( identity != inverse(sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f384,plain,
( identity != identity
| identity != inverse(sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f365,f135]) ).
fof(f396,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f394,f366]) ).
fof(f394,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f393,f151]) ).
fof(f393,plain,
( identity != inverse(sk_c2)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f383,f102]) ).
fof(f383,plain,
( identity != multiply(sk_c6,sk_c3)
| identity != inverse(sk_c2)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f365,f77]) ).
fof(f363,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f361,f263]) ).
fof(f361,plain,
( identity != sk_c6
| spl0_1
| ~ spl0_2
| spl0_3 ),
inference(superposition,[],[f303,f164]) ).
fof(f303,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| spl0_3 ),
inference(superposition,[],[f194,f263]) ).
fof(f198,plain,
( ~ spl0_3
| spl0_4
| spl0_4
| spl0_4
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f126,f30,f26,f196,f196,f196,f192]) ).
fof(f126,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4) )
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f15,f20,f5,f12,f11,f13,f9,f17,f22,f7,f16,f18,f14,f21,f6,f23,f8,f19,f4,f24,f1,f2,f10,f27,f32,f34,f35,f36,f37,f38,f39,f3,f48,f45,f51,f53,f56,f52,f57,f60,f43,f61,f65,f68,f69,f63,f72,f44,f73,f74,f76,f78,f80,f84,f83,f85,f86,f77,f90,f87,f91,f94,f96,f98,f99,f100,f101,f102,f104,f112,f106,f107,f115,f116,f125]) ).
fof(f125,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f124,f101]) ).
fof(f124,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f123,f101]) ).
fof(f123,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X5,sk_c5)
| sk_c6 != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f122,f96]) ).
fof(f122,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(sk_c6,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f121,f101]) ).
fof(f121,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f120,f96]) ).
fof(f120,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f119,f101]) ).
fof(f119,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f118,f101]) ).
fof(f118,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f117,f101]) ).
fof(f117,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(sk_c5)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f69,f96]) ).
fof(f116,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f100,f101]) ).
fof(f115,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f99,f101]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f52,f101]) ).
fof(f106,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f44,f101]) ).
fof(f112,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f111,f101]) ).
fof(f111,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f96]) ).
fof(f105,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f101]) ).
fof(f104,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f38,f101]) ).
fof(f100,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f96]) ).
fof(f99,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f65,f96]) ).
fof(f98,plain,
( multiply(sk_c5,identity) = multiply(sk_c5,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f63,f96]) ).
fof(f94,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,multiply(sk_c3,X0))) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f93,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c3,X0)))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f92,f3]) ).
fof(f92,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c6,sk_c3),X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f87]) ).
fof(f91,plain,
( multiply(sk_c5,identity) = multiply(sk_c4,multiply(sk_c6,sk_c3))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f87]) ).
fof(f90,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f89,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c2,multiply(identity,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f88,f3]) ).
fof(f88,plain,
( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c3),X0)
| spl0_1 ),
inference(superposition,[],[f3,f77]) ).
fof(f86,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f83]) ).
fof(f85,plain,
( multiply(sk_c4,sk_c5) = multiply(sk_c5,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f83]) ).
fof(f84,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c4,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f80]) ).
fof(f78,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f44]) ).
fof(f74,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c2,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f44,f43]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f44,f52]) ).
fof(f72,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c2,X0)) = multiply(sk_c5,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f70,f3]) ).
fof(f70,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c2,X0)) = multiply(multiply(sk_c5,identity),X0)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f63]) ).
fof(f63,plain,
( multiply(sk_c4,sk_c2) = multiply(sk_c5,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f34]) ).
fof(f69,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X3,sk_c6) )
| spl0_1 ),
inference(subsumption_resolution,[],[f24,f37]) ).
fof(f68,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f65]) ).
fof(f65,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f62,f57]) ).
fof(f62,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f53]) ).
fof(f61,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f43,f51]) ).
fof(f43,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| spl0_1 ),
inference(superposition,[],[f3,f37]) ).
fof(f60,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f57]) ).
fof(f56,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f53]) ).
fof(f45,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f33,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f30,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:35:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25254)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (25257)WARNING: value z3 for option sas not known
% 0.14/0.37 % (25257)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)
% 0.14/0.37 % (25255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (25256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (25258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (25259)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)
% 0.14/0.37 % (25261)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)
% 0.14/0.37 % (25260)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.40 % (25257)First to succeed.
% 0.20/0.40 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.42 % (25257)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25257)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.43 % (25257)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (25257)Memory used [KB]: 1460
% 0.20/0.43 % (25257)Time elapsed: 0.050 s
% 0.20/0.43 % (25257)Instructions burned: 132 (million)
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25257)------------------------------
% 0.20/0.43 % (25254)Success in time 0.066 s
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