TSTP Solution File: GRP292-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Fri Sep 1 15:45:39 EDT 2023
% Result : Unsatisfiable 0.22s 0.63s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 103
% Syntax : Number of formulae : 933 ( 14 unt; 0 def)
% Number of atoms : 2928 ( 804 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 3570 (1575 ~;1916 |; 0 &)
% ( 79 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 81 ( 79 usr; 80 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 172 (; 172 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1913,plain,
$false,
inference(avatar_smt_refutation,[],[f33,f39,f45,f51,f57,f63,f71,f92,f98,f108,f116,f118,f120,f122,f135,f136,f155,f157,f159,f162,f164,f166,f168,f170,f172,f174,f181,f188,f193,f216,f219,f221,f223,f225,f227,f229,f238,f242,f244,f246,f248,f250,f252,f260,f267,f268,f279,f285,f290,f295,f317,f321,f342,f347,f348,f349,f354,f373,f384,f389,f402,f411,f416,f421,f469,f474,f516,f519,f525,f536,f537,f570,f575,f576,f581,f586,f624,f631,f636,f637,f655,f656,f683,f700,f708,f709,f728,f736,f737,f738,f790,f799,f810,f872,f901,f931,f939,f944,f962,f964,f1021,f1024,f1026,f1030,f1035,f1052,f1060,f1081,f1089,f1090,f1119,f1121,f1123,f1125,f1127,f1130,f1132,f1134,f1137,f1141,f1143,f1146,f1150,f1152,f1154,f1156,f1158,f1161,f1165,f1169,f1173,f1178,f1182,f1184,f1187,f1190,f1194,f1198,f1201,f1204,f1207,f1210,f1215,f1219,f1223,f1225,f1227,f1229,f1231,f1240,f1241,f1242,f1243,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1272,f1287,f1289,f1291,f1292,f1297,f1298,f1299,f1300,f1305,f1322,f1323,f1324,f1334,f1347,f1362,f1363,f1371,f1377,f1382,f1397,f1398,f1421,f1426,f1439,f1451,f1472,f1474,f1476,f1479,f1485,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1521,f1541,f1717,f1754,f1762,f1767,f1774,f1776,f1795,f1797,f1809,f1813,f1816,f1820,f1824,f1828,f1831,f1833,f1835,f1837,f1839,f1841,f1843,f1845,f1847,f1849,f1851,f1853,f1855,f1858,f1860,f1865,f1869,f1871,f1874,f1876,f1879,f1882,f1885,f1888,f1891,f1894,f1896,f1898,f1901,f1904,f1906,f1909,f1912]) ).
fof(f1912,plain,
( spl0_5
| ~ spl0_17
| spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1911,plain,
( $false
| spl0_5
| ~ spl0_17
| spl0_24
| ~ spl0_30 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f284,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f266,f356,f80,f479,f506,f489,f510,f535,f541,f477,f861,f478,f958,f965,f1095,f1807,f1811,f1814,f1818,f1822,f1826,f1829,f1863,f1910]) ).
fof(f1910,plain,
( sk_c7 != multiply(sk_c5,identity)
| spl0_5
| ~ spl0_30 ),
inference(forward_demodulation,[],[f49,f535]) ).
fof(f1863,plain,
( sk_c7 != sk_c5
| spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1862,f1]) ).
fof(f1862,plain,
( sk_c5 != multiply(identity,sk_c7)
| spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1861,f1]) ).
fof(f1861,plain,
( multiply(identity,sk_c7) != multiply(identity,sk_c5)
| spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f400,f535]) ).
fof(f400,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c5)
| spl0_24 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl0_24
<=> multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1829,plain,
( identity = multiply(sk_c4,sk_c5)
| sk_c5 = inverse(sk_c2)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f23,f535]) ).
fof(f1826,plain,
( sk_c7 = sk_c5
| identity = multiply(sk_c4,sk_c5)
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1825,f266]) ).
fof(f1825,plain,
( identity = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_30 ),
inference(forward_demodulation,[],[f7,f535]) ).
fof(f1822,plain,
( identity = multiply(sk_c4,sk_c5)
| identity = multiply(sk_c2,sk_c5)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1821,f535]) ).
fof(f1821,plain,
( identity = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f19,f535]) ).
fof(f1818,plain,
( identity = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c5,identity)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1817,f535]) ).
fof(f1817,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f16,f535]) ).
fof(f1814,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c5 = inverse(sk_c2)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f20,f535]) ).
fof(f1811,plain,
( sk_c7 = sk_c5
| sk_c7 = multiply(sk_c5,identity)
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1810,f266]) ).
fof(f1810,plain,
( sk_c7 = multiply(sk_c5,identity)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_30 ),
inference(forward_demodulation,[],[f4,f535]) ).
fof(f1807,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c5
| identity != multiply(X5,X6)
| identity != multiply(X6,sk_c5)
| identity != multiply(X4,sk_c5)
| identity != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6 )
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1806,f266]) ).
fof(f1806,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,X6)
| identity != multiply(X6,sk_c5)
| identity != multiply(X4,sk_c5)
| identity != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1805,f535]) ).
fof(f1805,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,sk_c5)
| identity != multiply(X4,sk_c5)
| identity != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1804,f535]) ).
fof(f1804,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,sk_c5)
| identity != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1803,f535]) ).
fof(f1803,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1802,f535]) ).
fof(f1802,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c5,identity)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_30 ),
inference(forward_demodulation,[],[f24,f535]) ).
fof(f1095,plain,
( identity = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f10,f535]) ).
fof(f965,plain,
! [X2,X1] : multiply(X1,X2) = multiply(inverse(inverse(X1)),X2),
inference(forward_demodulation,[],[f959,f1]) ).
fof(f959,plain,
! [X2,X1] : multiply(X1,X2) = multiply(inverse(inverse(X1)),multiply(identity,X2)),
inference(superposition,[],[f3,f478]) ).
fof(f958,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f80,f478]) ).
fof(f478,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f80,f2]) ).
fof(f861,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f80,f477]) ).
fof(f477,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f80,f1]) ).
fof(f541,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_17
| ~ spl0_30 ),
inference(superposition,[],[f266,f535]) ).
fof(f535,plain,
( identity = sk_c6
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f533,plain,
( spl0_30
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f510,plain,
( identity = sk_c6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f494,f2]) ).
fof(f494,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_17 ),
inference(superposition,[],[f80,f266]) ).
fof(f489,plain,
! [X14,X13] : multiply(X13,X14) = multiply(inverse(inverse(X13)),X14),
inference(superposition,[],[f80,f80]) ).
fof(f506,plain,
( ! [X5] : multiply(sk_c6,X5) = X5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f481,f80]) ).
fof(f481,plain,
( ! [X5] : multiply(sk_c6,X5) = multiply(inverse(sk_c7),multiply(sk_c7,X5))
| ~ spl0_17 ),
inference(superposition,[],[f80,f356]) ).
fof(f479,plain,
! [X2,X3,X4] : multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X3,X4))) = X4,
inference(superposition,[],[f80,f3]) ).
fof(f80,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f73,f1]) ).
fof(f73,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_17 ),
inference(superposition,[],[f3,f266]) ).
fof(f266,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl0_17
<=> sk_c7 = multiply(sk_c7,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_16) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_6) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_8) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_4) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_2) ).
fof(f23,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_20) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_18) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_14) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_12) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_10) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_17 ),
inference(superposition,[],[f3,f266]) ).
fof(f49,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f18,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_15) ).
fof(f10,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_7) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_5) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_13) ).
fof(f6,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_3) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',associativity) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_11) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',left_identity) ).
fof(f24,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_21) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_1) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_17) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_9) ).
fof(f22,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uVQwov35Dx/Vampire---4.8_2047',prove_this_19) ).
fof(f1909,plain,
( spl0_5
| ~ spl0_7
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1908,plain,
( $false
| spl0_5
| ~ spl0_7
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1907,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f236,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| spl0_15 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_15
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f335,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f6,f16,f8,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19]) ).
fof(f334,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f6,f16,f8,f19,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9]) ).
fof(f333,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f9,f6,f16,f8,f19,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11]) ).
fof(f330,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f9,f6,f16,f8,f19,f11,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7]) ).
fof(f329,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f9,f6,f7,f16,f8,f19,f11,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5]) ).
fof(f328,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f9,f5,f6,f7,f16,f8,f19,f11,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21,f327,f23]) ).
fof(f327,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f236,f13,f324,f15,f325,f17,f326,f21]) ).
fof(f326,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f21,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f236,f13,f324,f15,f325,f17]) ).
fof(f325,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f80,f21,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f17,f236,f13,f324,f15]) ).
fof(f324,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f17,f236,f13]) ).
fof(f1907,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f62,f535]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1906,plain,
( spl0_5
| spl0_8
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| spl0_5
| spl0_8
| spl0_15 ),
inference(global_subsumption,[],[f69,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f69,plain,
( sk_c5 != inverse(sk_c2)
| spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_8
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1904,plain,
( spl0_5
| spl0_10
| spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1903]) ).
fof(f1903,plain,
( $false
| spl0_5
| spl0_10
| spl0_15
| ~ spl0_17 ),
inference(global_subsumption,[],[f1902,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1902,plain,
( sk_c7 != sk_c5
| spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f106,f266]) ).
fof(f106,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_10
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1901,plain,
( spl0_5
| spl0_10
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1900,plain,
( $false
| spl0_5
| spl0_10
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1899,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1899,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f160,f535]) ).
fof(f160,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_10 ),
inference(subsumption_resolution,[],[f7,f106]) ).
fof(f1898,plain,
( spl0_5
| spl0_10
| spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| spl0_5
| spl0_10
| spl0_15
| ~ spl0_17 ),
inference(global_subsumption,[],[f355,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f355,plain,
( sk_c7 != sk_c5
| spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f106,f266]) ).
fof(f1896,plain,
( spl0_5
| spl0_11
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| spl0_5
| spl0_11
| spl0_15 ),
inference(global_subsumption,[],[f133,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f133,plain,
( identity != multiply(sk_c5,sk_c2)
| spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_11
<=> identity = multiply(sk_c5,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1894,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1892,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1892,plain,
( identity != multiply(sk_c2,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f236,f535]) ).
fof(f1891,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1889,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1889,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f325,f535]) ).
fof(f1888,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1887,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1886,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1886,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f328,f535]) ).
fof(f1885,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1884,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1883,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1883,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f330,f535]) ).
fof(f1882,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1880,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1880,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f333,f535]) ).
fof(f1879,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1878]) ).
fof(f1878,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1877,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1877,plain,
( identity = multiply(sk_c4,sk_c5)
| spl0_15
| ~ spl0_30 ),
inference(forward_demodulation,[],[f335,f535]) ).
fof(f1876,plain,
( spl0_5
| spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1875,plain,
( $false
| spl0_5
| spl0_15
| spl0_16 ),
inference(global_subsumption,[],[f258,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f258,plain,
( sk_c7 != sk_c5
| spl0_16 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_16
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1874,plain,
( spl0_5
| spl0_15
| spl0_19
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1873,plain,
( $false
| spl0_5
| spl0_15
| spl0_19
| ~ spl0_30 ),
inference(global_subsumption,[],[f1872,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1872,plain,
( identity != multiply(sk_c2,sk_c7)
| spl0_19
| ~ spl0_30 ),
inference(forward_demodulation,[],[f288,f535]) ).
fof(f288,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| spl0_19 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl0_19
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1871,plain,
( spl0_5
| spl0_15
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f1870]) ).
fof(f1870,plain,
( $false
| spl0_5
| spl0_15
| spl0_20 ),
inference(global_subsumption,[],[f293,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f293,plain,
( identity != multiply(sk_c7,sk_c2)
| spl0_20 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl0_20
<=> identity = multiply(sk_c7,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1869,plain,
( spl0_5
| spl0_15
| ~ spl0_22
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1868,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_22
| ~ spl0_30 ),
inference(global_subsumption,[],[f1867,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1867,plain,
( sk_c5 = multiply(sk_c3,identity)
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1866,f1]) ).
fof(f1866,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c5)
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f383,f535]) ).
fof(f383,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_22
<=> multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1865,plain,
( spl0_5
| spl0_15
| spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1864]) ).
fof(f1864,plain,
( $false
| spl0_5
| spl0_15
| spl0_24
| ~ spl0_30 ),
inference(global_subsumption,[],[f1863,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1860,plain,
( spl0_5
| spl0_15
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| spl0_5
| spl0_15
| spl0_27 ),
inference(global_subsumption,[],[f419,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f419,plain,
( multiply(sk_c7,sk_c5) != multiply(sk_c7,sk_c7)
| spl0_27 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl0_27
<=> multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1858,plain,
( spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1857,plain,
( $false
| spl0_28
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1856,f1]) ).
fof(f1856,plain,
( multiply(identity,sk_c7) != multiply(identity,multiply(identity,sk_c7))
| spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f467,f535]) ).
fof(f467,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c6,multiply(sk_c6,sk_c7))
| spl0_28 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl0_28
<=> multiply(sk_c6,sk_c7) = multiply(sk_c6,multiply(sk_c6,sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1855,plain,
( spl0_5
| spl0_15
| spl0_54 ),
inference(avatar_contradiction_clause,[],[f1854]) ).
fof(f1854,plain,
( $false
| spl0_5
| spl0_15
| spl0_54 ),
inference(global_subsumption,[],[f1050,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1050,plain,
( identity != multiply(sk_c2,sk_c7)
| spl0_54 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1049,plain,
( spl0_54
<=> identity = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1853,plain,
( spl0_5
| spl0_15
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1852,plain,
( $false
| spl0_5
| spl0_15
| spl0_55 ),
inference(global_subsumption,[],[f1058,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1058,plain,
( sk_c7 != multiply(inverse(sk_c2),identity)
| spl0_55 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl0_55
<=> sk_c7 = multiply(inverse(sk_c2),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1851,plain,
( spl0_5
| spl0_15
| spl0_58 ),
inference(avatar_contradiction_clause,[],[f1850]) ).
fof(f1850,plain,
( $false
| spl0_5
| spl0_15
| spl0_58 ),
inference(global_subsumption,[],[f1238,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1238,plain,
( sk_c7 != inverse(sk_c2)
| spl0_58 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1237,plain,
( spl0_58
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1849,plain,
( spl0_5
| spl0_15
| spl0_62 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1848,plain,
( $false
| spl0_5
| spl0_15
| spl0_62 ),
inference(global_subsumption,[],[f1303,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1303,plain,
( sk_c1 != multiply(sk_c2,identity)
| spl0_62 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1302,plain,
( spl0_62
<=> sk_c1 = multiply(sk_c2,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1847,plain,
( spl0_5
| spl0_15
| spl0_63 ),
inference(avatar_contradiction_clause,[],[f1846]) ).
fof(f1846,plain,
( $false
| spl0_5
| spl0_15
| spl0_63 ),
inference(global_subsumption,[],[f1332,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1332,plain,
( sk_c1 != sk_c2
| spl0_63 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl0_63
<=> sk_c1 = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1845,plain,
( spl0_5
| spl0_15
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f1844]) ).
fof(f1844,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_68 ),
inference(global_subsumption,[],[f1395,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1395,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl0_68
<=> sk_c1 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1843,plain,
( spl0_5
| spl0_15
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1842,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_71 ),
inference(global_subsumption,[],[f1437,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1437,plain,
( sk_c1 = inverse(inverse(inverse(sk_c7)))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl0_71
<=> sk_c1 = inverse(inverse(inverse(sk_c7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1841,plain,
( spl0_5
| spl0_15
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1840,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_72 ),
inference(global_subsumption,[],[f1449,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1449,plain,
( inverse(sk_c7) = inverse(inverse(inverse(sk_c7)))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1448,plain,
( spl0_72
<=> inverse(sk_c7) = inverse(inverse(inverse(sk_c7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1839,plain,
( spl0_5
| spl0_15
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1838,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_78 ),
inference(global_subsumption,[],[f1789,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1789,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_78 ),
inference(superposition,[],[f1761,f478]) ).
fof(f1761,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1759,plain,
( spl0_78
<=> sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1837,plain,
( spl0_5
| spl0_15
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_78 ),
inference(global_subsumption,[],[f1790,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1790,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_78 ),
inference(superposition,[],[f478,f1761]) ).
fof(f1835,plain,
( spl0_5
| spl0_15
| spl0_56 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| spl0_5
| spl0_15
| spl0_56 ),
inference(global_subsumption,[],[f1079,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1079,plain,
( sk_c4 != multiply(sk_c2,identity)
| spl0_56 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1078,plain,
( spl0_56
<=> sk_c4 = multiply(sk_c2,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1833,plain,
( spl0_5
| spl0_15
| spl0_57 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| spl0_5
| spl0_15
| spl0_57 ),
inference(global_subsumption,[],[f1087,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1087,plain,
( identity != multiply(inverse(sk_c2),sk_c4)
| spl0_57 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1086,plain,
( spl0_57
<=> identity = multiply(inverse(sk_c2),sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1831,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1830,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1829,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1828,plain,
( spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1827,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(global_subsumption,[],[f1826,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1824,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1823]) ).
fof(f1823,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1822,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1820,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1818,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1816,plain,
( spl0_5
| spl0_15
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1815,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_30 ),
inference(global_subsumption,[],[f1814,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1813,plain,
( spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1812,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(global_subsumption,[],[f1811,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1809,plain,
( spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1808,plain,
( $false
| spl0_5
| spl0_15
| ~ spl0_17
| ~ spl0_30 ),
inference(global_subsumption,[],[f1807,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f49,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f479,f489,f477,f861,f478,f958,f965]) ).
fof(f1797,plain,
( spl0_68
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
fof(f1796,plain,
( $false
| spl0_68
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f1790,f1396]) ).
fof(f1396,plain,
( sk_c1 != inverse(sk_c7)
| spl0_68 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1795,plain,
( spl0_68
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1794,plain,
( $false
| spl0_68
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f1789,f1396]) ).
fof(f1776,plain,
( spl0_2
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1775]) ).
fof(f1775,plain,
( $false
| spl0_2
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f1769,f31]) ).
fof(f31,plain,
( sk_c4 != inverse(sk_c3)
| spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> sk_c4 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1769,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_77 ),
inference(superposition,[],[f478,f1753]) ).
fof(f1753,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c3))),identity)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1751,plain,
( spl0_77
<=> sk_c4 = multiply(inverse(inverse(inverse(sk_c3))),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1774,plain,
( spl0_2
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f1773]) ).
fof(f1773,plain,
( $false
| spl0_2
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f1768,f31]) ).
fof(f1768,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_77 ),
inference(superposition,[],[f1753,f478]) ).
fof(f1767,plain,
( spl0_79
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1542,f1538,f1764]) ).
fof(f1764,plain,
( spl0_79
<=> sk_c3 = multiply(inverse(inverse(inverse(sk_c4))),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1538,plain,
( spl0_74
<=> identity = multiply(inverse(inverse(sk_c4)),sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1542,plain,
( sk_c3 = multiply(inverse(inverse(inverse(sk_c4))),identity)
| ~ spl0_74 ),
inference(superposition,[],[f80,f1540]) ).
fof(f1540,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c3)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1762,plain,
( spl0_78
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1431,f1423,f1759]) ).
fof(f1423,plain,
( spl0_70
<=> identity = multiply(inverse(inverse(sk_c7)),sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1431,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_70 ),
inference(superposition,[],[f80,f1425]) ).
fof(f1425,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f1754,plain,
( spl0_77
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1427,f1418,f1751]) ).
fof(f1418,plain,
( spl0_69
<=> identity = multiply(inverse(inverse(sk_c3)),sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1427,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c3))),identity)
| ~ spl0_69 ),
inference(superposition,[],[f80,f1420]) ).
fof(f1420,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c4)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1717,plain,
( ~ spl0_75
| ~ spl0_76
| ~ spl0_37
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1392,f1249,f629,f1714,f1710]) ).
fof(f1710,plain,
( spl0_75
<=> identity = inverse(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1714,plain,
( spl0_76
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f629,plain,
( spl0_37
<=> ! [X6,X5] :
( identity != multiply(X5,X6)
| inverse(X5) != X6
| identity != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1249,plain,
( spl0_59
<=> identity = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1392,plain,
( identity != sk_c1
| identity != inverse(inverse(identity))
| ~ spl0_37
| ~ spl0_59 ),
inference(inner_rewriting,[],[f1386]) ).
fof(f1386,plain,
( identity != sk_c1
| sk_c1 != inverse(inverse(identity))
| ~ spl0_37
| ~ spl0_59 ),
inference(superposition,[],[f1320,f477]) ).
fof(f1320,plain,
( ! [X4] :
( identity != multiply(X4,sk_c1)
| sk_c1 != inverse(X4) )
| ~ spl0_37
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1314]) ).
fof(f1314,plain,
( ! [X4] :
( identity != identity
| sk_c1 != inverse(X4)
| identity != multiply(X4,sk_c1) )
| ~ spl0_37
| ~ spl0_59 ),
inference(superposition,[],[f630,f1251]) ).
fof(f1251,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f630,plain,
( ! [X6,X5] :
( identity != multiply(X6,sk_c7)
| inverse(X5) != X6
| identity != multiply(X5,X6) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1541,plain,
( spl0_74
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1523,f1518,f1538]) ).
fof(f1518,plain,
( spl0_73
<=> sk_c3 = multiply(inverse(sk_c4),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1523,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c3)
| ~ spl0_73 ),
inference(superposition,[],[f80,f1520]) ).
fof(f1520,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1521,plain,
( spl0_73
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1496,f42,f1518]) ).
fof(f42,plain,
( spl0_4
<=> identity = multiply(sk_c4,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1496,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_4 ),
inference(superposition,[],[f80,f44]) ).
fof(f44,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f1510,plain,
( spl0_31
| ~ spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f539,f533,f89,f567]) ).
fof(f567,plain,
( spl0_31
<=> sk_c4 = multiply(sk_c4,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f89,plain,
( spl0_9
<=> sk_c4 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f539,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_9
| ~ spl0_30 ),
inference(superposition,[],[f91,f535]) ).
fof(f91,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f1509,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1493,f533,f54,f42,f567]) ).
fof(f54,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1493,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f85,f535]) ).
fof(f85,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f83,f56]) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f83,plain,
( ! [X10] : multiply(sk_c4,multiply(sk_c3,X10)) = X10
| ~ spl0_4 ),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f77,plain,
( ! [X10] : multiply(sk_c4,multiply(sk_c3,X10)) = multiply(identity,X10)
| ~ spl0_4 ),
inference(superposition,[],[f3,f44]) ).
fof(f1508,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1492,f533,f54,f42,f567]) ).
fof(f1492,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f140,f535]) ).
fof(f140,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f130,f56]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f44]) ).
fof(f1507,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1490,f533,f54,f42,f567]) ).
fof(f1490,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f336,f535]) ).
fof(f336,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f262,f56]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f261,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f44]) ).
fof(f1506,plain,
( spl0_31
| ~ spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1486,f533,f89,f567]) ).
fof(f1486,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_9
| ~ spl0_30 ),
inference(forward_demodulation,[],[f91,f535]) ).
fof(f1505,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_30
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1466,f1374,f533,f54,f567]) ).
fof(f1374,plain,
( spl0_66
<=> sk_c4 = multiply(inverse(sk_c3),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1466,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_66 ),
inference(superposition,[],[f1376,f1094]) ).
fof(f1094,plain,
( ! [X8] : multiply(sk_c4,X8) = multiply(inverse(sk_c3),X8)
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1093,f1]) ).
fof(f1093,plain,
( ! [X8] : multiply(sk_c4,X8) = multiply(inverse(sk_c3),multiply(identity,X8))
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f484,f535]) ).
fof(f484,plain,
( ! [X8] : multiply(sk_c4,X8) = multiply(inverse(sk_c3),multiply(sk_c6,X8))
| ~ spl0_6 ),
inference(superposition,[],[f80,f337]) ).
fof(f337,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f56]) ).
fof(f1376,plain,
( sk_c4 = multiply(inverse(sk_c3),identity)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1504,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_30
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1461,f1374,f533,f54,f567]) ).
fof(f1461,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_66 ),
inference(superposition,[],[f1094,f1376]) ).
fof(f1485,plain,
( ~ spl0_23
| ~ spl0_30
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1484,plain,
( $false
| ~ spl0_23
| ~ spl0_30
| spl0_61 ),
inference(subsumption_resolution,[],[f1483,f1296]) ).
fof(f1296,plain,
( sk_c3 != multiply(sk_c3,identity)
| spl0_61 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1294,plain,
( spl0_61
<=> sk_c3 = multiply(sk_c3,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1483,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1482,f1]) ).
fof(f1482,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c3)
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f388,f535]) ).
fof(f388,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_23
<=> multiply(sk_c6,sk_c3) = multiply(sk_c3,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1479,plain,
( ~ spl0_6
| ~ spl0_30
| spl0_31
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1478,plain,
( $false
| ~ spl0_6
| ~ spl0_30
| spl0_31
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1466,f568]) ).
fof(f568,plain,
( sk_c4 != multiply(sk_c4,identity)
| spl0_31 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1476,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1475,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1463,f43]) ).
fof(f43,plain,
( identity != multiply(sk_c4,sk_c3)
| spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f1463,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f2,f1094]) ).
fof(f1474,plain,
( ~ spl0_6
| ~ spl0_30
| spl0_31
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1473,plain,
( $false
| ~ spl0_6
| ~ spl0_30
| spl0_31
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f1461,f568]) ).
fof(f1472,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1460,f43]) ).
fof(f1460,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f1094,f2]) ).
fof(f1451,plain,
( ~ spl0_72
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1444,f629,f1448]) ).
fof(f1444,plain,
( inverse(sk_c7) != inverse(inverse(inverse(sk_c7)))
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1441]) ).
fof(f1441,plain,
( identity != identity
| inverse(sk_c7) != inverse(inverse(inverse(sk_c7)))
| ~ spl0_37 ),
inference(superposition,[],[f995,f2]) ).
fof(f995,plain,
( ! [X8] :
( identity != multiply(X8,inverse(sk_c7))
| inverse(sk_c7) != inverse(X8) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f991]) ).
fof(f991,plain,
( ! [X8] :
( identity != identity
| inverse(sk_c7) != inverse(X8)
| identity != multiply(X8,inverse(sk_c7)) )
| ~ spl0_37 ),
inference(superposition,[],[f630,f2]) ).
fof(f1439,plain,
( ~ spl0_71
| ~ spl0_37
| ~ spl0_59
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1433,f1423,f1249,f629,f1436]) ).
fof(f1433,plain,
( sk_c1 != inverse(inverse(inverse(sk_c7)))
| ~ spl0_37
| ~ spl0_59
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f1430]) ).
fof(f1430,plain,
( identity != identity
| sk_c1 != inverse(inverse(inverse(sk_c7)))
| ~ spl0_37
| ~ spl0_59
| ~ spl0_70 ),
inference(superposition,[],[f1320,f1425]) ).
fof(f1426,plain,
( spl0_70
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1402,f1379,f1423]) ).
fof(f1379,plain,
( spl0_67
<=> sk_c1 = multiply(inverse(sk_c7),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1402,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
| ~ spl0_67 ),
inference(superposition,[],[f80,f1381]) ).
fof(f1381,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1421,plain,
( spl0_69
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1399,f1374,f1418]) ).
fof(f1399,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c4)
| ~ spl0_66 ),
inference(superposition,[],[f80,f1376]) ).
fof(f1398,plain,
( ~ spl0_68
| ~ spl0_1
| ~ spl0_37
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1391,f1249,f629,f26,f1394]) ).
fof(f26,plain,
( spl0_1
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1391,plain,
( sk_c1 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_37
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1388,f28]) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f1388,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_37
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1385]) ).
fof(f1385,plain,
( identity != identity
| sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_37
| ~ spl0_59 ),
inference(superposition,[],[f1320,f2]) ).
fof(f1397,plain,
( ~ spl0_68
| ~ spl0_3
| ~ spl0_37
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1389,f1249,f629,f36,f1394]) ).
fof(f36,plain,
( spl0_3
<=> identity = multiply(sk_c7,sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1389,plain,
( sk_c1 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1383]) ).
fof(f1383,plain,
( identity != identity
| sk_c1 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_59 ),
inference(superposition,[],[f1320,f38]) ).
fof(f38,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f1382,plain,
( spl0_67
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1264,f36,f1379]) ).
fof(f1264,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_3 ),
inference(superposition,[],[f80,f38]) ).
fof(f1377,plain,
( spl0_66
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1092,f533,f54,f1374]) ).
fof(f1092,plain,
( sk_c4 = multiply(inverse(sk_c3),identity)
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f503,f535]) ).
fof(f503,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f80,f56]) ).
fof(f1371,plain,
( ~ spl0_65
| spl0_56
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1366,f1331,f1078,f1368]) ).
fof(f1368,plain,
( spl0_65
<=> sk_c4 = multiply(sk_c1,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1366,plain,
( sk_c4 != multiply(sk_c1,identity)
| spl0_56
| ~ spl0_63 ),
inference(forward_demodulation,[],[f1079,f1333]) ).
fof(f1333,plain,
( sk_c1 = sk_c2
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1363,plain,
( spl0_64
| ~ spl0_20
| ~ spl0_59
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1360,f1331,f1249,f292,f1344]) ).
fof(f1344,plain,
( spl0_64
<=> sk_c1 = multiply(sk_c1,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1360,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_20
| ~ spl0_59
| ~ spl0_63 ),
inference(forward_demodulation,[],[f1353,f1333]) ).
fof(f1353,plain,
( sk_c2 = multiply(sk_c1,identity)
| ~ spl0_20
| ~ spl0_59 ),
inference(superposition,[],[f1262,f294]) ).
fof(f294,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f1262,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_59 ),
inference(forward_demodulation,[],[f1260,f1]) ).
fof(f1260,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_59 ),
inference(superposition,[],[f3,f1251]) ).
fof(f1362,plain,
( spl0_64
| ~ spl0_3
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1352,f1249,f36,f1344]) ).
fof(f1352,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_3
| ~ spl0_59 ),
inference(superposition,[],[f1262,f38]) ).
fof(f1347,plain,
( spl0_64
| ~ spl0_62
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1340,f1331,f1302,f1344]) ).
fof(f1340,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_62
| ~ spl0_63 ),
inference(superposition,[],[f1304,f1333]) ).
fof(f1304,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1334,plain,
( spl0_63
| ~ spl0_20
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1328,f1302,f1049,f292,f1331]) ).
fof(f1328,plain,
( sk_c1 = sk_c2
| ~ spl0_20
| ~ spl0_54
| ~ spl0_62 ),
inference(forward_demodulation,[],[f1325,f1304]) ).
fof(f1325,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_20
| ~ spl0_54 ),
inference(superposition,[],[f1055,f294]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
| ~ spl0_54 ),
inference(forward_demodulation,[],[f1054,f1]) ).
fof(f1054,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_54 ),
inference(superposition,[],[f3,f1051]) ).
fof(f1051,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1324,plain,
( spl0_20
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f273,f257,f132,f292]) ).
fof(f273,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f134,f259]) ).
fof(f259,plain,
( sk_c7 = sk_c5
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f134,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f1323,plain,
( ~ spl0_31
| spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1202,f533,f89,f567]) ).
fof(f1202,plain,
( sk_c4 != multiply(sk_c4,identity)
| spl0_9
| ~ spl0_30 ),
inference(forward_demodulation,[],[f90,f535]) ).
fof(f90,plain,
( sk_c4 != multiply(sk_c4,sk_c6)
| spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f1322,plain,
( ~ spl0_34
| spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1167,f533,f408,f583]) ).
fof(f583,plain,
( spl0_34
<=> identity = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f408,plain,
( spl0_25
<=> sk_c6 = multiply(sk_c4,multiply(sk_c6,sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1167,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_25
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1166,f1]) ).
fof(f1166,plain,
( identity != multiply(sk_c4,multiply(identity,sk_c7))
| spl0_25
| ~ spl0_30 ),
inference(forward_demodulation,[],[f409,f535]) ).
fof(f409,plain,
( sk_c6 != multiply(sk_c4,multiply(sk_c6,sk_c7))
| spl0_25 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1305,plain,
( spl0_62
| ~ spl0_3
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1263,f1049,f36,f1302]) ).
fof(f1263,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_3
| ~ spl0_54 ),
inference(superposition,[],[f1055,f38]) ).
fof(f1300,plain,
( ~ spl0_34
| spl0_12
| ~ spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1192,f533,f213,f152,f583]) ).
fof(f152,plain,
( spl0_12
<=> multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f213,plain,
( spl0_14
<=> sk_c6 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1192,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_12
| ~ spl0_14
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1191,f535]) ).
fof(f1191,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f153,f215]) ).
fof(f215,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f153,plain,
( multiply(sk_c6,sk_c6) != multiply(sk_c4,sk_c7)
| spl0_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f1299,plain,
( ~ spl0_33
| spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1180,f533,f370,f578]) ).
fof(f578,plain,
( spl0_33
<=> sk_c7 = multiply(sk_c3,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f370,plain,
( spl0_21
<=> multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1180,plain,
( sk_c7 != multiply(sk_c3,identity)
| spl0_21
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1179,f1]) ).
fof(f1179,plain,
( multiply(sk_c3,identity) != multiply(identity,sk_c7)
| spl0_21
| ~ spl0_30 ),
inference(forward_demodulation,[],[f371,f535]) ).
fof(f371,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c3,sk_c6)
| spl0_21 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f1298,plain,
( ~ spl0_33
| ~ spl0_16
| spl0_22
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1176,f533,f381,f257,f578]) ).
fof(f1176,plain,
( sk_c7 != multiply(sk_c3,identity)
| ~ spl0_16
| spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1175,f259]) ).
fof(f1175,plain,
( sk_c5 != multiply(sk_c3,identity)
| spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1174,f1]) ).
fof(f1174,plain,
( multiply(sk_c3,identity) != multiply(identity,sk_c5)
| spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f382,f535]) ).
fof(f382,plain,
( multiply(sk_c6,sk_c5) != multiply(sk_c3,sk_c6)
| spl0_22 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f1297,plain,
( ~ spl0_61
| spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1171,f533,f386,f1294]) ).
fof(f1171,plain,
( sk_c3 != multiply(sk_c3,identity)
| spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1170,f1]) ).
fof(f1170,plain,
( multiply(sk_c3,identity) != multiply(identity,sk_c3)
| spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f387,f535]) ).
fof(f387,plain,
( multiply(sk_c6,sk_c3) != multiply(sk_c3,identity)
| spl0_23 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1292,plain,
( spl0_20
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1247,f1237,f292]) ).
fof(f1247,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_58 ),
inference(superposition,[],[f2,f1239]) ).
fof(f1239,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1291,plain,
( spl0_20
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1199,f257,f132,f292]) ).
fof(f1199,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f134,f259]) ).
fof(f1289,plain,
( ~ spl0_1
| ~ spl0_36
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1288]) ).
fof(f1288,plain,
( $false
| ~ spl0_1
| ~ spl0_36
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f1284,f28]) ).
fof(f1284,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_36
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1278]) ).
fof(f1278,plain,
( identity != identity
| sk_c7 != inverse(sk_c1)
| ~ spl0_36
| ~ spl0_59 ),
inference(superposition,[],[f627,f1251]) ).
fof(f627,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl0_36
<=> ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1287,plain,
( ~ spl0_36
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| ~ spl0_36
| ~ spl0_54
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f1285,f1239]) ).
fof(f1285,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_36
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1274]) ).
fof(f1274,plain,
( identity != identity
| sk_c7 != inverse(sk_c2)
| ~ spl0_36
| ~ spl0_54 ),
inference(superposition,[],[f627,f1051]) ).
fof(f1272,plain,
( spl0_60
| ~ spl0_3
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1266,f1078,f1049,f36,f1269]) ).
fof(f1269,plain,
( spl0_60
<=> sk_c4 = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1266,plain,
( sk_c4 = sk_c1
| ~ spl0_3
| ~ spl0_54
| ~ spl0_56 ),
inference(forward_demodulation,[],[f1263,f1080]) ).
fof(f1080,plain,
( sk_c4 = multiply(sk_c2,identity)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1258,plain,
( ~ spl0_34
| spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1221,f533,f257,f60,f583]) ).
fof(f1221,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1220,f535]) ).
fof(f1220,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f61,f259]) ).
fof(f61,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f1257,plain,
( spl0_59
| spl0_7
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1213,f533,f60,f1249]) ).
fof(f1213,plain,
( identity = multiply(sk_c1,sk_c7)
| spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f177,f535]) ).
fof(f177,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_7 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f24,f1,f2,f14,f15,f3,f80,f21,f17,f9,f5,f6,f10,f18,f19,f61,f66,f23,f7,f176,f11]) ).
fof(f176,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_7 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f24,f1,f2,f14,f15,f3,f80,f21,f17,f9,f5,f6,f10,f18,f19,f11,f61,f66,f23,f7]) ).
fof(f66,plain,
( sk_c5 = inverse(sk_c2)
| spl0_7 ),
inference(subsumption_resolution,[],[f23,f61]) ).
fof(f1256,plain,
( ~ spl0_34
| spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1208,f533,f257,f60,f583]) ).
fof(f1208,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f274,f535]) ).
fof(f274,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f61,f259]) ).
fof(f1255,plain,
( spl0_59
| ~ spl0_13
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1188,f533,f185,f1249]) ).
fof(f185,plain,
( spl0_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1188,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f187,f535]) ).
fof(f187,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f1254,plain,
( ~ spl0_34
| spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1185,f533,f276,f583]) ).
fof(f276,plain,
( spl0_18
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1185,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_18
| ~ spl0_30 ),
inference(forward_demodulation,[],[f278,f535]) ).
fof(f278,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| spl0_18 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f1253,plain,
( spl0_59
| spl0_2
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1115,f533,f257,f30,f1249]) ).
fof(f1115,plain,
( identity = multiply(sk_c1,sk_c7)
| spl0_2
| ~ spl0_16
| ~ spl0_30 ),
inference(global_subsumption,[],[f1114,f22,f12,f20,f4,f24,f1,f2,f14,f3,f109,f110,f111,f114,f6,f16,f8,f10,f231,f31,f230,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f535,f477,f861,f478,f958,f965,f1095,f1096]) ).
fof(f1096,plain,
( identity = multiply(sk_c1,sk_c7)
| spl0_2
| ~ spl0_30 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f109,f110,f111,f114,f6,f16,f8,f10,f231,f31,f230,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f535,f477,f861,f478,f958,f965,f1095]) ).
fof(f230,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f5,f6,f10,f23,f7,f16,f8,f19,f11,f31,f18]) ).
fof(f231,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f5,f6,f23,f7,f16,f8,f19,f11,f31,f18,f230,f10]) ).
fof(f114,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_2 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f18,f109,f10,f110,f6,f111,f17,f9,f5]) ).
fof(f111,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_2 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f5,f9,f17,f18,f109,f10,f110,f6]) ).
fof(f110,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f22,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f5,f9,f17,f18,f109,f10]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f22,f10,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f5,f9,f17,f18]) ).
fof(f1114,plain,
( identity = multiply(sk_c4,sk_c7)
| identity = multiply(sk_c1,sk_c7)
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1113,f535]) ).
fof(f1113,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| identity = multiply(sk_c1,sk_c7)
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1112,f259]) ).
fof(f1112,plain,
( identity = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f11,f535]) ).
fof(f1252,plain,
( spl0_59
| spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1096,f533,f30,f1249]) ).
fof(f1243,plain,
( spl0_58
| spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1217,f257,f60,f1237]) ).
fof(f1217,plain,
( sk_c7 = inverse(sk_c2)
| spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f66,f259]) ).
fof(f1242,plain,
( spl0_58
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1205,f257,f68,f1237]) ).
fof(f1205,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f70,f259]) ).
fof(f70,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f1241,plain,
( spl0_58
| spl0_2
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1108,f533,f257,f30,f1237]) ).
fof(f1108,plain,
( sk_c7 = inverse(sk_c2)
| spl0_2
| ~ spl0_16
| ~ spl0_30 ),
inference(global_subsumption,[],[f1107,f22,f12,f20,f4,f24,f1,f2,f14,f3,f109,f110,f111,f114,f6,f16,f8,f10,f231,f31,f230,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f259,f477,f861,f478,f958,f965,f1098,f1099]) ).
fof(f1099,plain,
( sk_c7 = inverse(sk_c2)
| spl0_2
| ~ spl0_16 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f109,f110,f111,f114,f6,f16,f8,f10,f231,f31,f230,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f259,f477,f861,f478,f958,f965,f1098]) ).
fof(f1098,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f22,f259]) ).
fof(f1107,plain,
( identity = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2)
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1106,f535]) ).
fof(f1106,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1105,f259]) ).
fof(f1105,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f23,f259]) ).
fof(f1240,plain,
( spl0_58
| spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1099,f257,f30,f1237]) ).
fof(f1231,plain,
( ~ spl0_1
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl0_1
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f28,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f734,plain,
( sk_c7 != multiply(inverse(sk_c4),identity)
| spl0_45 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl0_45
<=> sk_c7 = multiply(inverse(sk_c4),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f955,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl0_40 ),
inference(superposition,[],[f478,f682]) ).
fof(f702,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_40 ),
inference(superposition,[],[f2,f682]) ).
fof(f701,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_40 ),
inference(superposition,[],[f80,f682]) ).
fof(f682,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl0_40
<=> sk_c4 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1229,plain,
( spl0_2
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| spl0_2
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f31,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1227,plain,
( ~ spl0_3
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1226,plain,
( $false
| ~ spl0_3
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f38,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1225,plain,
( spl0_4
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| spl0_4
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f43,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1223,plain,
( spl0_7
| ~ spl0_16
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| spl0_7
| ~ spl0_16
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1221,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1219,plain,
( spl0_7
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1218,plain,
( $false
| spl0_7
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1217,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1215,plain,
( spl0_7
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| spl0_7
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1213,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1210,plain,
( spl0_7
| ~ spl0_16
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1209,plain,
( $false
| spl0_7
| ~ spl0_16
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1208,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1207,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| ~ spl0_8
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1205,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1204,plain,
( spl0_9
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| spl0_9
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1202,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1201,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1199,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1198,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1197,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f273,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1194,plain,
( spl0_12
| ~ spl0_14
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| spl0_12
| ~ spl0_14
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1192,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1190,plain,
( ~ spl0_13
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1189,plain,
( $false
| ~ spl0_13
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1188,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1187,plain,
( spl0_18
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| spl0_18
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1185,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1184,plain,
( ~ spl0_20
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| ~ spl0_20
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f294,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1182,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| spl0_21
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1180,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1178,plain,
( ~ spl0_16
| spl0_22
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| ~ spl0_16
| spl0_22
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1176,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1173,plain,
( spl0_23
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| spl0_23
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1171,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1169,plain,
( spl0_25
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| spl0_25
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1167,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1165,plain,
( spl0_26
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1164,plain,
( $false
| spl0_26
| ~ spl0_30
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1163,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1163,plain,
( identity != multiply(sk_c4,sk_c3)
| spl0_26
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1162,f1]) ).
fof(f1162,plain,
( identity != multiply(sk_c4,multiply(identity,sk_c3))
| spl0_26
| ~ spl0_30 ),
inference(forward_demodulation,[],[f414,f535]) ).
fof(f414,plain,
( identity != multiply(sk_c4,multiply(sk_c6,sk_c3))
| spl0_26 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl0_26
<=> identity = multiply(sk_c4,multiply(sk_c6,sk_c3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1161,plain,
( spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| spl0_29
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1159,f1]) ).
fof(f1159,plain,
( multiply(identity,sk_c3) != multiply(identity,multiply(identity,sk_c3))
| spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[],[f472,f535]) ).
fof(f472,plain,
( multiply(sk_c6,sk_c3) != multiply(sk_c6,multiply(sk_c6,sk_c3))
| spl0_29 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_29
<=> multiply(sk_c6,sk_c3) = multiply(sk_c6,multiply(sk_c6,sk_c3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1158,plain,
( spl0_31
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1157,plain,
( $false
| spl0_31
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f568,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1156,plain,
( spl0_33
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| spl0_33
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f579,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f579,plain,
( sk_c7 != multiply(sk_c3,identity)
| spl0_33 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f1154,plain,
( spl0_34
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| spl0_34
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f584,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f584,plain,
( identity != multiply(sk_c4,sk_c7)
| spl0_34 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f1152,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f627,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1150,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1148,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1148,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1091,f682]) ).
fof(f1091,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f688]) ).
fof(f688,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_36 ),
inference(superposition,[],[f627,f2]) ).
fof(f1146,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1145,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1144,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1144,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f690,f682]) ).
fof(f690,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f688]) ).
fof(f1143,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f703,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f703,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f690,f682]) ).
fof(f1141,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1139,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1139,plain,
( sk_c7 != inverse(multiply(sk_c4,identity))
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f908,f682]) ).
fof(f908,plain,
( sk_c7 != inverse(multiply(inverse(sk_c7),identity))
| ~ spl0_36 ),
inference(superposition,[],[f763,f1]) ).
fof(f763,plain,
( ! [X2] : sk_c7 != inverse(multiply(inverse(multiply(X2,sk_c7)),X2))
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f761]) ).
fof(f761,plain,
( ! [X2] :
( identity != identity
| sk_c7 != inverse(multiply(inverse(multiply(X2,sk_c7)),X2)) )
| ~ spl0_36 ),
inference(superposition,[],[f689,f2]) ).
fof(f689,plain,
( ! [X0,X1] :
( identity != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_36 ),
inference(superposition,[],[f627,f3]) ).
fof(f1137,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1136,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f1135,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1135,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f924,f682]) ).
fof(f924,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_36 ),
inference(forward_demodulation,[],[f909,f477]) ).
fof(f909,plain,
( sk_c7 != inverse(multiply(inverse(identity),inverse(sk_c7)))
| ~ spl0_36 ),
inference(superposition,[],[f763,f2]) ).
fof(f1134,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f925,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f925,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f924,f682]) ).
fof(f1132,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1131,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f763,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1130,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45
| ~ spl0_52 ),
inference(global_subsumption,[],[f950,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f950,plain,
( sk_c7 != inverse(multiply(sk_c4,inverse(inverse(inverse(identity)))))
| ~ spl0_36
| ~ spl0_40
| ~ spl0_52 ),
inference(forward_demodulation,[],[f945,f682]) ).
fof(f945,plain,
( sk_c7 != inverse(multiply(inverse(sk_c7),inverse(inverse(inverse(identity)))))
| ~ spl0_36
| ~ spl0_52 ),
inference(superposition,[],[f763,f938]) ).
fof(f938,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c7)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl0_52
<=> sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1127,plain,
( ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f922,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f922,plain,
( sk_c7 != inverse(multiply(sk_c4,identity))
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f908,f682]) ).
fof(f1125,plain,
( spl0_38
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1124]) ).
fof(f1124,plain,
( $false
| spl0_38
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f634,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f634,plain,
( sk_c7 != multiply(identity,sk_c3)
| spl0_38 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl0_38
<=> sk_c7 = multiply(identity,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1123,plain,
( spl0_39
| ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1122,plain,
( $false
| spl0_39
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f653,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f653,plain,
( sk_c7 != sk_c3
| spl0_39 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl0_39
<=> sk_c7 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1121,plain,
( ~ spl0_40
| spl0_41
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1120,plain,
( $false
| ~ spl0_40
| spl0_41
| spl0_45 ),
inference(global_subsumption,[],[f699,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f699,plain,
( sk_c7 != inverse(sk_c4)
| spl0_41 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl0_41
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1119,plain,
( ~ spl0_40
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl0_40
| spl0_45 ),
inference(global_subsumption,[],[f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f16,f8,f10,f18,f13,f15,f17,f21,f23,f5,f7,f11,f9,f19,f80,f479,f489,f682,f477,f861,f478,f958,f965,f701,f702,f955,f734]) ).
fof(f1090,plain,
( spl0_36
| spl0_36
| spl0_37
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1043,f533,f264,f257,f48,f629,f626,f626]) ).
fof(f1043,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,X6)
| identity != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6 )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1042,f535]) ).
fof(f1042,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1041,f535]) ).
fof(f1041,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1040,f259]) ).
fof(f1040,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1039,f535]) ).
fof(f1039,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1038,f259]) ).
fof(f1038,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1037,f535]) ).
fof(f1037,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1036,f259]) ).
fof(f1036,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f522,f259]) ).
fof(f522,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c5
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f331,f266]) ).
fof(f331,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f24,f50]) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f1089,plain,
( spl0_57
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1082,f1078,f1086]) ).
fof(f1082,plain,
( identity = multiply(inverse(sk_c2),sk_c4)
| ~ spl0_56 ),
inference(superposition,[],[f80,f1080]) ).
fof(f1081,plain,
( spl0_56
| ~ spl0_42
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1069,f1049,f705,f1078]) ).
fof(f705,plain,
( spl0_42
<=> identity = multiply(sk_c7,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1069,plain,
( sk_c4 = multiply(sk_c2,identity)
| ~ spl0_42
| ~ spl0_54 ),
inference(superposition,[],[f1055,f707]) ).
fof(f707,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f1060,plain,
( spl0_55
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1053,f1049,f1057]) ).
fof(f1053,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl0_54 ),
inference(superposition,[],[f80,f1051]) ).
fof(f1052,plain,
( spl0_54
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1047,f533,f257,f235,f1049]) ).
fof(f1047,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1046,f535]) ).
fof(f1046,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f237,f259]) ).
fof(f237,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f1035,plain,
( ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_41
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1034,plain,
( $false
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_41
| ~ spl0_42
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f1033,f682]) ).
fof(f1033,plain,
( sk_c4 != inverse(sk_c7)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_41
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1032,f698]) ).
fof(f698,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1032,plain,
( sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_42
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f1015,f707]) ).
fof(f1015,plain,
( identity != multiply(sk_c7,sk_c4)
| sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_45 ),
inference(superposition,[],[f998,f741]) ).
fof(f741,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c4),X0)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f740,f1]) ).
fof(f740,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c4),multiply(identity,X0))
| ~ spl0_45 ),
inference(superposition,[],[f3,f735]) ).
fof(f735,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f998,plain,
( ! [X1] :
( identity != multiply(X1,sk_c4)
| sk_c4 != inverse(X1) )
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f984,f535]) ).
fof(f984,plain,
( ! [X1] :
( identity != sk_c6
| sk_c4 != inverse(X1)
| identity != multiply(X1,sk_c4) )
| ~ spl0_18
| ~ spl0_37 ),
inference(superposition,[],[f630,f277]) ).
fof(f277,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f1030,plain,
( ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f1028,f682]) ).
fof(f1028,plain,
( sk_c4 != inverse(sk_c7)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1017,f698]) ).
fof(f1017,plain,
( sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1013]) ).
fof(f1013,plain,
( identity != identity
| sk_c4 != inverse(inverse(sk_c4))
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(superposition,[],[f998,f2]) ).
fof(f1026,plain,
( ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1025,plain,
( $false
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_40
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f1018,f682]) ).
fof(f1018,plain,
( sk_c4 != inverse(sk_c7)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1011]) ).
fof(f1011,plain,
( identity != identity
| sk_c4 != inverse(sk_c7)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37
| ~ spl0_42 ),
inference(superposition,[],[f998,f707]) ).
fof(f1024,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f1022,f32]) ).
fof(f32,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f1022,plain,
( sk_c4 != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f1010,f535]) ).
fof(f1010,plain,
( identity != sk_c6
| sk_c4 != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_30
| ~ spl0_37 ),
inference(superposition,[],[f998,f56]) ).
fof(f1021,plain,
( ~ spl0_2
| ~ spl0_18
| ~ spl0_30
| ~ spl0_35
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1020,plain,
( $false
| ~ spl0_2
| ~ spl0_18
| ~ spl0_30
| ~ spl0_35
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f1019,f32]) ).
fof(f1019,plain,
( sk_c4 != inverse(sk_c3)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_35
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1009]) ).
fof(f1009,plain,
( identity != identity
| sk_c4 != inverse(sk_c3)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_35
| ~ spl0_37 ),
inference(superposition,[],[f998,f623]) ).
fof(f623,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl0_35
<=> identity = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f964,plain,
( spl0_41
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| spl0_41
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f957,f699]) ).
fof(f957,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_50 ),
inference(superposition,[],[f900,f478]) ).
fof(f900,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c4))),identity)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f898,plain,
( spl0_50
<=> sk_c7 = multiply(inverse(inverse(inverse(sk_c4))),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f962,plain,
( spl0_41
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| spl0_41
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f956,f699]) ).
fof(f956,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_50 ),
inference(superposition,[],[f478,f900]) ).
fof(f944,plain,
( ~ spl0_53
| ~ spl0_36
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f921,f869,f680,f626,f941]) ).
fof(f941,plain,
( spl0_53
<=> sk_c7 = inverse(multiply(sk_c4,inverse(inverse(identity)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f869,plain,
( spl0_49
<=> sk_c7 = multiply(inverse(inverse(identity)),sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f921,plain,
( sk_c7 != inverse(multiply(sk_c4,inverse(inverse(identity))))
| ~ spl0_36
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f907,f682]) ).
fof(f907,plain,
( sk_c7 != inverse(multiply(inverse(sk_c7),inverse(inverse(identity))))
| ~ spl0_36
| ~ spl0_49 ),
inference(superposition,[],[f763,f871]) ).
fof(f871,plain,
( sk_c7 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f939,plain,
( spl0_52
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f875,f869,f936]) ).
fof(f875,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c7)
| ~ spl0_49 ),
inference(superposition,[],[f80,f871]) ).
fof(f931,plain,
( ~ spl0_51
| ~ spl0_36
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f926,f680,f626,f928]) ).
fof(f928,plain,
( spl0_51
<=> sk_c7 = inverse(multiply(sk_c4,inverse(identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f926,plain,
( sk_c7 != inverse(multiply(sk_c4,inverse(identity)))
| ~ spl0_36
| ~ spl0_40 ),
inference(forward_demodulation,[],[f910,f682]) ).
fof(f910,plain,
( sk_c7 != inverse(multiply(inverse(sk_c7),inverse(identity)))
| ~ spl0_36 ),
inference(superposition,[],[f763,f477]) ).
fof(f901,plain,
( spl0_50
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f802,f796,f898]) ).
fof(f796,plain,
( spl0_47
<=> identity = multiply(inverse(inverse(sk_c4)),sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f802,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c4))),identity)
| ~ spl0_47 ),
inference(superposition,[],[f80,f798]) ).
fof(f798,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f872,plain,
( spl0_49
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f793,f787,f869]) ).
fof(f787,plain,
( spl0_46
<=> sk_c7 = multiply(inverse(identity),sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f793,plain,
( sk_c7 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_46 ),
inference(superposition,[],[f80,f789]) ).
fof(f789,plain,
( sk_c7 = multiply(inverse(identity),sk_c7)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f810,plain,
( ~ spl0_48
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f804,f796,f626,f807]) ).
fof(f807,plain,
( spl0_48
<=> sk_c7 = inverse(inverse(inverse(sk_c4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f804,plain,
( sk_c7 != inverse(inverse(inverse(sk_c4)))
| ~ spl0_36
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f801]) ).
fof(f801,plain,
( identity != identity
| sk_c7 != inverse(inverse(inverse(sk_c4)))
| ~ spl0_36
| ~ spl0_47 ),
inference(superposition,[],[f627,f798]) ).
fof(f799,plain,
( spl0_47
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f739,f733,f796]) ).
fof(f739,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
| ~ spl0_45 ),
inference(superposition,[],[f80,f735]) ).
fof(f790,plain,
( spl0_46
| ~ spl0_38
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f743,f652,f633,f787]) ).
fof(f743,plain,
( sk_c7 = multiply(inverse(identity),sk_c7)
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[],[f649,f654]) ).
fof(f654,plain,
( sk_c7 = sk_c3
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f649,plain,
( sk_c3 = multiply(inverse(identity),sk_c7)
| ~ spl0_38 ),
inference(superposition,[],[f80,f635]) ).
fof(f635,plain,
( sk_c7 = multiply(identity,sk_c3)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f738,plain,
( spl0_45
| ~ spl0_4
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f731,f652,f42,f733]) ).
fof(f731,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl0_4
| ~ spl0_39 ),
inference(forward_demodulation,[],[f502,f654]) ).
fof(f502,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_4 ),
inference(superposition,[],[f80,f44]) ).
fof(f737,plain,
( spl0_45
| ~ spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f730,f533,f257,f60,f733]) ).
fof(f730,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f729,f259]) ).
fof(f729,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f499,f535]) ).
fof(f499,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f80,f62]) ).
fof(f736,plain,
( spl0_45
| ~ spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f717,f533,f276,f733]) ).
fof(f717,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl0_18
| ~ spl0_30 ),
inference(forward_demodulation,[],[f492,f535]) ).
fof(f492,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_18 ),
inference(superposition,[],[f80,f277]) ).
fof(f728,plain,
( ~ spl0_43
| ~ spl0_44
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f695,f626,f725,f721]) ).
fof(f721,plain,
( spl0_43
<=> identity = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f725,plain,
( spl0_44
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f695,plain,
( identity != sk_c7
| identity != inverse(identity)
| ~ spl0_36 ),
inference(inner_rewriting,[],[f687]) ).
fof(f687,plain,
( identity != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_36 ),
inference(superposition,[],[f627,f1]) ).
fof(f709,plain,
( spl0_42
| ~ spl0_6
| ~ spl0_30
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f669,f652,f533,f54,f705]) ).
fof(f669,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_39 ),
inference(forward_demodulation,[],[f659,f535]) ).
fof(f659,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl0_6
| ~ spl0_39 ),
inference(superposition,[],[f56,f654]) ).
fof(f708,plain,
( spl0_42
| ~ spl0_35
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f667,f652,f621,f705]) ).
fof(f667,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_35
| ~ spl0_39 ),
inference(superposition,[],[f623,f654]) ).
fof(f700,plain,
( ~ spl0_41
| ~ spl0_18
| ~ spl0_30
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f692,f626,f533,f276,f697]) ).
fof(f692,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_18
| ~ spl0_30
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f685,f535]) ).
fof(f685,plain,
( identity != sk_c6
| sk_c7 != inverse(sk_c4)
| ~ spl0_18
| ~ spl0_36 ),
inference(superposition,[],[f627,f277]) ).
fof(f683,plain,
( spl0_40
| ~ spl0_2
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f657,f652,f30,f680]) ).
fof(f657,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_39 ),
inference(superposition,[],[f32,f654]) ).
fof(f656,plain,
( spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f648,f633,f652]) ).
fof(f648,plain,
( sk_c7 = sk_c3
| ~ spl0_38 ),
inference(superposition,[],[f1,f635]) ).
fof(f655,plain,
( spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f647,f633,f652]) ).
fof(f647,plain,
( sk_c7 = sk_c3
| ~ spl0_38 ),
inference(superposition,[],[f635,f1]) ).
fof(f637,plain,
( spl0_38
| ~ spl0_23
| ~ spl0_30
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f604,f578,f533,f386,f633]) ).
fof(f604,plain,
( sk_c7 = multiply(identity,sk_c3)
| ~ spl0_23
| ~ spl0_30
| ~ spl0_33 ),
inference(forward_demodulation,[],[f598,f535]) ).
fof(f598,plain,
( sk_c7 = multiply(sk_c6,sk_c3)
| ~ spl0_23
| ~ spl0_33 ),
inference(superposition,[],[f388,f580]) ).
fof(f580,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f636,plain,
( spl0_38
| ~ spl0_23
| ~ spl0_30
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f603,f578,f533,f386,f633]) ).
fof(f603,plain,
( sk_c7 = multiply(identity,sk_c3)
| ~ spl0_23
| ~ spl0_30
| ~ spl0_33 ),
inference(forward_demodulation,[],[f597,f535]) ).
fof(f597,plain,
( sk_c7 = multiply(sk_c6,sk_c3)
| ~ spl0_23
| ~ spl0_33 ),
inference(superposition,[],[f580,f388]) ).
fof(f631,plain,
( spl0_36
| spl0_36
| spl0_37
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f564,f533,f264,f257,f235,f105,f48,f629,f626,f626]) ).
fof(f564,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,X6)
| identity != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6 )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f563,f535]) ).
fof(f563,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f562,f535]) ).
fof(f562,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f561,f259]) ).
fof(f561,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f560,f535]) ).
fof(f560,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f559,f259]) ).
fof(f559,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_30 ),
inference(forward_demodulation,[],[f558,f535]) ).
fof(f558,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f523,f259]) ).
fof(f523,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_5
| ~ spl0_10
| spl0_15
| ~ spl0_17 ),
inference(global_subsumption,[],[f522,f22,f12,f20,f4,f24,f1,f2,f14,f3,f6,f107,f183,f189,f16,f8,f10,f18,f13,f324,f15,f325,f17,f326,f21,f327,f23,f328,f5,f329,f7,f330,f11,f333,f9,f334,f19,f335,f236,f80,f477,f478,f479,f489]) ).
fof(f189,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6) )
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f24,f107]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f107]) ).
fof(f107,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f624,plain,
( spl0_35
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f591,f567,f533,f54,f621]) ).
fof(f591,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[],[f590,f1]) ).
fof(f590,plain,
( multiply(sk_c3,sk_c4) = multiply(identity,identity)
| ~ spl0_6
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_demodulation,[],[f587,f535]) ).
fof(f587,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c6,identity)
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f337,f569]) ).
fof(f569,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f586,plain,
( spl0_34
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f555,f533,f408,f583]) ).
fof(f555,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_25
| ~ spl0_30 ),
inference(forward_demodulation,[],[f548,f1]) ).
fof(f548,plain,
( identity = multiply(sk_c4,multiply(identity,sk_c7))
| ~ spl0_25
| ~ spl0_30 ),
inference(superposition,[],[f410,f535]) ).
fof(f410,plain,
( sk_c6 = multiply(sk_c4,multiply(sk_c6,sk_c7))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f581,plain,
( spl0_33
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f552,f533,f370,f578]) ).
fof(f552,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_21
| ~ spl0_30 ),
inference(forward_demodulation,[],[f546,f1]) ).
fof(f546,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c7)
| ~ spl0_21
| ~ spl0_30 ),
inference(superposition,[],[f372,f535]) ).
fof(f372,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f576,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f550,f533,f257,f48,f572]) ).
fof(f572,plain,
( spl0_32
<=> sk_c7 = multiply(sk_c7,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f550,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_demodulation,[],[f538,f259]) ).
fof(f538,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_5
| ~ spl0_30 ),
inference(superposition,[],[f50,f535]) ).
fof(f575,plain,
( spl0_32
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f541,f533,f264,f572]) ).
fof(f570,plain,
( spl0_31
| ~ spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f539,f533,f89,f567]) ).
fof(f537,plain,
( spl0_30
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f513,f89,f533]) ).
fof(f513,plain,
( identity = sk_c6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f498,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f80,f91]) ).
fof(f536,plain,
( spl0_30
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f510,f264,f533]) ).
fof(f525,plain,
( spl0_16
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f524,f264,f105,f257]) ).
fof(f524,plain,
( sk_c7 = sk_c5
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f107,f266]) ).
fof(f519,plain,
( spl0_16
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| spl0_16
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f517,f258]) ).
fof(f517,plain,
( sk_c7 = sk_c5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f501,f80]) ).
fof(f501,plain,
( sk_c5 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c7))
| ~ spl0_27 ),
inference(superposition,[],[f80,f420]) ).
fof(f420,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c7)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f516,plain,
( spl0_16
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| spl0_16
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f514,f258]) ).
fof(f514,plain,
( sk_c7 = sk_c5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f500,f80]) ).
fof(f500,plain,
( sk_c5 = multiply(inverse(sk_c6),multiply(sk_c6,sk_c7))
| ~ spl0_24 ),
inference(superposition,[],[f80,f401]) ).
fof(f401,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c5)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f474,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f433,f413,f386,f54,f471]) ).
fof(f433,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c6,multiply(sk_c6,sk_c3))
| ~ spl0_6
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f431,f388]) ).
fof(f431,plain,
( multiply(sk_c3,identity) = multiply(sk_c6,multiply(sk_c6,sk_c3))
| ~ spl0_6
| ~ spl0_26 ),
inference(superposition,[],[f337,f415]) ).
fof(f415,plain,
( identity = multiply(sk_c4,multiply(sk_c6,sk_c3))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f469,plain,
( spl0_28
| ~ spl0_6
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f429,f408,f370,f54,f466]) ).
fof(f429,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c6,multiply(sk_c6,sk_c7))
| ~ spl0_6
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_demodulation,[],[f427,f372]) ).
fof(f427,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c6,multiply(sk_c6,sk_c7))
| ~ spl0_6
| ~ spl0_25 ),
inference(superposition,[],[f337,f410]) ).
fof(f421,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f405,f399,f48,f418]) ).
fof(f405,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f403,f269]) ).
fof(f269,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f50]) ).
fof(f403,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,multiply(sk_c6,sk_c7))
| ~ spl0_5
| ~ spl0_24 ),
inference(superposition,[],[f269,f401]) ).
fof(f416,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f394,f386,f42,f413]) ).
fof(f394,plain,
( identity = multiply(sk_c4,multiply(sk_c6,sk_c3))
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f262,f388]) ).
fof(f411,plain,
( spl0_25
| ~ spl0_4
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f390,f370,f42,f408]) ).
fof(f390,plain,
( sk_c6 = multiply(sk_c4,multiply(sk_c6,sk_c7))
| ~ spl0_4
| ~ spl0_21 ),
inference(superposition,[],[f262,f372]) ).
fof(f402,plain,
( spl0_24
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f393,f381,f370,f399]) ).
fof(f393,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c5)
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f383,f372]) ).
fof(f389,plain,
( spl0_23
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f362,f54,f42,f386]) ).
fof(f362,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f337,f44]) ).
fof(f384,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f361,f60,f54,f381]) ).
fof(f361,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c3,sk_c6)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f337,f62]) ).
fof(f373,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f358,f276,f54,f370]) ).
fof(f358,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f337,f277]) ).
fof(f354,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| spl0_17 ),
inference(subsumption_resolution,[],[f352,f265]) ).
fof(f265,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| spl0_17 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f352,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f350,f50]) ).
fof(f350,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f269,f215]) ).
fof(f349,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f209,f89,f54,f213]) ).
fof(f209,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f204,f56]) ).
fof(f204,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f128,f91]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f56]) ).
fof(f348,plain,
( spl0_14
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f340,f276,f152,f213]) ).
fof(f340,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f154,f277]) ).
fof(f154,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f347,plain,
( spl0_14
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f339,f276,f152,f213]) ).
fof(f339,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f277,f154]) ).
fof(f342,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f85,f54,f42,f89]) ).
fof(f321,plain,
( ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f319,f214]) ).
fof(f214,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl0_14 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f319,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f318,f187]) ).
fof(f318,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f310,f259]) ).
fof(f310,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f233,f107]) ).
fof(f233,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f187]) ).
fof(f317,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl0_13
| spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f315,f214]) ).
fof(f315,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f309,f187]) ).
fof(f309,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f233,f266]) ).
fof(f295,plain,
( spl0_20
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f273,f257,f132,f292]) ).
fof(f290,plain,
( spl0_19
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f271,f257,f235,f287]) ).
fof(f271,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f237,f259]) ).
fof(f285,plain,
( ~ spl0_14
| ~ spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f280,f276,f152,f213]) ).
fof(f280,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_12
| spl0_18 ),
inference(superposition,[],[f278,f154]) ).
fof(f279,plain,
( ~ spl0_18
| spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f274,f257,f60,f276]) ).
fof(f268,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f255,f235,f132,f48,f257]) ).
fof(f255,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f253,f50]) ).
fof(f253,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f197,f237]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f196,f1]) ).
fof(f196,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f134]) ).
fof(f267,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f232,f185,f36,f264]) ).
fof(f232,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f84,f187]) ).
fof(f84,plain,
( ! [X12] : multiply(sk_c7,multiply(sk_c1,X12)) = X12
| ~ spl0_3 ),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f79,plain,
( ! [X12] : multiply(sk_c7,multiply(sk_c1,X12)) = multiply(identity,X12)
| ~ spl0_3 ),
inference(superposition,[],[f3,f38]) ).
fof(f260,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f255,f235,f132,f48,f257]) ).
fof(f252,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f102,f54,f235]) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f55,f21,f99,f5,f100,f9,f101,f17]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_6 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f17,f55,f21,f99,f5,f100,f9]) ).
fof(f100,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_6 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f17,f9,f55,f21,f99,f5]) ).
fof(f99,plain,
( sk_c5 = inverse(sk_c2)
| spl0_6 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f17,f9,f5,f55,f21]) ).
fof(f55,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f250,plain,
( ~ spl0_2
| spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| ~ spl0_2
| spl0_6
| spl0_15 ),
inference(global_subsumption,[],[f32,f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17,f240,f236,f102,f55]) ).
fof(f240,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f102,f55,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_6 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f102,f55,f100,f17,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18]) ).
fof(f248,plain,
( ~ spl0_4
| spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl0_4
| spl0_6
| spl0_15 ),
inference(global_subsumption,[],[f44,f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17,f240,f236,f102,f55]) ).
fof(f246,plain,
( spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| spl0_6
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17,f240,f236,f102,f55]) ).
fof(f244,plain,
( spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl0_6
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f55,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17,f240,f236,f102]) ).
fof(f242,plain,
( spl0_6
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| spl0_6
| spl0_15 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f99,f101,f102,f55,f100,f9,f5,f6,f23,f7,f16,f8,f19,f11,f10,f18,f239,f17,f240,f236]) ).
fof(f238,plain,
( spl0_15
| spl0_2 ),
inference(avatar_split_clause,[],[f230,f30,f235]) ).
fof(f229,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f5,f6,f10,f23,f7,f16,f8,f19,f11,f186,f217,f18,f31]) ).
fof(f217,plain,
( sk_c4 = inverse(sk_c3)
| spl0_13 ),
inference(subsumption_resolution,[],[f10,f186]) ).
fof(f186,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f227,plain,
( spl0_2
| spl0_4
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| spl0_2
| spl0_4
| spl0_13 ),
inference(global_subsumption,[],[f43,f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f31,f5,f6,f10,f23,f7,f16,f8,f19,f11,f186,f217,f18]) ).
fof(f225,plain,
( spl0_2
| spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| spl0_2
| spl0_9
| spl0_13 ),
inference(global_subsumption,[],[f90,f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f31,f5,f6,f10,f23,f7,f16,f8,f19,f11,f186,f217,f18]) ).
fof(f223,plain,
( spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| spl0_2
| spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f214,f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f31,f5,f6,f10,f23,f7,f16,f8,f19,f11,f186,f217,f18]) ).
fof(f221,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f31,f5,f6,f10,f23,f7,f16,f8,f19,f11,f186,f217,f18]) ).
fof(f219,plain,
( spl0_2
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl0_2
| spl0_13 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f109,f110,f111,f17,f9,f114,f31,f5,f6,f10,f18,f23,f7,f16,f8,f19,f11,f186,f217]) ).
fof(f216,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f209,f89,f54,f213]) ).
fof(f193,plain,
( spl0_5
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| spl0_5
| spl0_13 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f4,f24,f1,f2,f14,f15,f3,f80,f21,f17,f9,f5,f6,f10,f18,f23,f7,f16,f8,f19,f11,f186,f49]) ).
fof(f188,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f177,f60,f185]) ).
fof(f181,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f60,f68]) ).
fof(f174,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23,f66,f61]) ).
fof(f126,plain,
( sk_c4 = inverse(sk_c3)
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f21,f17,f9,f106,f5,f123,f6,f124,f10,f125,f18]) ).
fof(f125,plain,
( sk_c4 = inverse(sk_c3)
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f21,f18,f17,f9,f106,f5,f123,f6,f124,f10]) ).
fof(f124,plain,
( sk_c4 = inverse(sk_c3)
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f21,f18,f10,f17,f9,f106,f5,f123,f6]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f21,f18,f10,f6,f17,f9,f106,f5]) ).
fof(f172,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23,f66]) ).
fof(f170,plain,
( spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| spl0_7
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f70,f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23]) ).
fof(f168,plain,
( spl0_7
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| spl0_7
| spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f134,f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23]) ).
fof(f166,plain,
( spl0_7
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl0_7
| spl0_10
| spl0_12 ),
inference(global_subsumption,[],[f153,f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23]) ).
fof(f164,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160,f23]) ).
fof(f162,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f23,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11,f160]) ).
fof(f159,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f7,f24,f1,f2,f14,f15,f61,f66,f23,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19,f11]) ).
fof(f157,plain,
( spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f7,f24,f1,f2,f14,f15,f61,f66,f23,f3,f80,f21,f17,f9,f5,f123,f6,f124,f10,f125,f18,f126,f106,f19]) ).
fof(f155,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f147,f60,f48,f152]) ).
fof(f147,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f76,f50]) ).
fof(f76,plain,
( ! [X9] : multiply(sk_c4,multiply(sk_c5,X9)) = multiply(sk_c6,X9)
| ~ spl0_7 ),
inference(superposition,[],[f3,f62]) ).
fof(f136,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f85,f54,f42,f89]) ).
fof(f135,plain,
( spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f103,f68,f132]) ).
fof(f103,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f70]) ).
fof(f122,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f3,f80,f21,f18,f109,f10,f110,f6,f111,f17,f9,f5,f114,f106,f31]) ).
fof(f120,plain,
( spl0_2
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl0_2
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f43,f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f18,f109,f10,f110,f6,f111,f17,f9,f5,f114,f106]) ).
fof(f118,plain,
( spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(global_subsumption,[],[f56,f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f18,f109,f10,f110,f6,f111,f17,f9,f5,f114,f106]) ).
fof(f116,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f22,f12,f13,f20,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f31,f15,f23,f3,f80,f21,f18,f109,f10,f110,f6,f111,f17,f9,f5,f114,f106]) ).
fof(f108,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f100,f54,f105]) ).
fof(f98,plain,
( spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| spl0_6
| spl0_8 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f21,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f69,f3,f80,f17,f93,f9,f94,f5,f95,f96,f55]) ).
fof(f96,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_8 ),
inference(subsumption_resolution,[],[f21,f69]) ).
fof(f95,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f21,f8,f16,f4,f11,f19,f7,f24,f1,f2,f14,f15,f23,f69,f3,f80,f17,f93,f9,f94,f5]) ).
fof(f94,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f21,f8,f16,f4,f11,f19,f5,f7,f24,f1,f2,f14,f15,f23,f69,f3,f80,f17,f93,f9]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_8 ),
inference(global_subsumption,[],[f22,f10,f18,f6,f12,f13,f20,f21,f8,f16,f4,f9,f11,f19,f5,f7,f24,f1,f2,f14,f15,f23,f69,f3,f80,f17]) ).
fof(f92,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f85,f54,f42,f89]) ).
fof(f71,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f60,f68]) ).
fof(f63,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f58,f26,f60]) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f27]) ).
fof(f27,plain,
( sk_c7 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f57,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f52,f26,f54]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f27]) ).
fof(f51,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f46,f26,f48]) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f27]) ).
fof(f45,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f40,f30,f42]) ).
fof(f40,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f32]) ).
fof(f39,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f34,f26,f36]) ).
fof(f34,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f28]) ).
fof(f33,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f30,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n012.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 : Wed Aug 30 17:25:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.41 % (2165)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2189)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (2190)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (2193)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (2192)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (2194)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.42 % (2196)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.42 % (2198)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.45 TRYING [5]
% 0.22/0.45 TRYING [4]
% 0.22/0.48 TRYING [6]
% 0.22/0.57 TRYING [7]
% 0.22/0.61 TRYING [5]
% 0.22/0.62 % (2192)First to succeed.
% 0.22/0.63 % (2192)Refutation found. Thanks to Tanya!
% 0.22/0.63 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.63 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.64 % (2192)------------------------------
% 0.22/0.64 % (2192)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.64 % (2192)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.64 % (2192)Termination reason: Refutation
% 0.22/0.64
% 0.22/0.64 % (2192)Memory used [KB]: 6652
% 0.22/0.64 % (2192)Time elapsed: 0.212 s
% 0.22/0.64 % (2192)------------------------------
% 0.22/0.64 % (2192)------------------------------
% 0.22/0.64 % (2165)Success in time 0.276 s
% 0.22/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------