TSTP Solution File: GRP287-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Sun May 5 05:59:29 EDT 2024
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 43
% Syntax : Number of formulae : 800 ( 11 unt; 0 def)
% Number of atoms : 3430 (1338 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 4879 (2249 ~;2616 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 426 ( 426 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1902,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f202,f216,f665,f674,f802,f831,f834,f860,f933,f942,f982,f1065,f1085,f1118,f1155,f1192,f1217,f1220,f1222,f1225,f1227,f1260,f1368,f1375,f1387,f1393,f1395,f1397,f1399,f1401,f1403,f1405,f1408,f1411,f1413,f1415,f1417,f1419,f1423,f1426,f1429,f1432,f1435,f1438,f1440,f1444,f1463,f1491,f1537,f1560,f1580,f1585,f1589,f1595,f1597,f1599,f1601,f1606,f1608,f1610,f1612,f1614,f1616,f1618,f1623,f1625,f1630,f1634,f1640,f1643,f1645,f1647,f1650,f1652,f1654,f1657,f1660,f1664,f1779,f1841,f1843,f1892,f1901]) ).
fof(f1901,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1900,plain,
( $false
| ~ spl0_1
| spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f25,f24,f11,f6,f203,f205,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f509,f846,f4,f844,f878,f484,f885,f495,f893,f894,f896,f898,f890,f903,f904,f891,f900,f892,f859,f989,f1004,f988,f1009,f1008,f1011,f876,f1019,f1021,f1010,f1028,f1029,f1082,f987,f1060,f23,f1271,f1070,f1798,f1800,f28,f1823,f21,f1849,f1853,f1855,f26,f1858,f1860,f33,f1865,f1866,f1799,f1793,f1087,f1788,f1897,f1899]) ).
fof(f1899,plain,
( sk_c6 != sk_c5
| spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1898,f1]) ).
fof(f1898,plain,
( sk_c5 != multiply(identity,sk_c6)
| spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f854,f1060]) ).
fof(f854,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_7 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl0_7
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1897,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X5,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f25,f24,f11,f6,f203,f205,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f509,f846,f4,f844,f878,f484,f885,f495,f893,f894,f896,f898,f890,f903,f904,f891,f900,f892,f859,f989,f1004,f988,f1009,f1008,f1011,f876,f1019,f1021,f1010,f1028,f1029,f1082,f987,f1060,f23,f1271,f1070,f1798,f1800,f28,f1823,f21,f1849,f1853,f1855,f26,f1858,f1860,f33,f1865,f1866,f1799,f1793,f1087,f1788]) ).
fof(f1788,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != sk_c5
| sk_c6 != multiply(X3,identity)
| identity != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1787,f1]) ).
fof(f1787,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(identity,sk_c6)
| sk_c6 != multiply(X3,identity)
| identity != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1786,f1060]) ).
fof(f1786,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1785,f1060]) ).
fof(f1785,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1784,f1060]) ).
fof(f1784,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1741,f1060]) ).
fof(f1741,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13 ),
inference(forward_demodulation,[],[f29,f1060]) ).
fof(f1087,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1070,f900]) ).
fof(f1793,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f859,f1060]) ).
fof(f1799,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f4,f484,f885,f859,f989,f988,f1009,f1008,f1011,f1010,f1028,f1029,f1082,f21,f1060,f1788,f23,f1793,f1271,f1070,f1798]) ).
fof(f1866,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f33]) ).
fof(f1865,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f53,f33]) ).
fof(f33,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1860,plain,
( identity = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f987,f1060]) ).
fof(f1858,plain,
( identity = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f25,f1060]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f1855,plain,
( identity = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f20,f1060]) ).
fof(f1853,plain,
( sk_c6 = sk_c5
| identity = multiply(sk_c3,sk_c6)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1852,f1]) ).
fof(f1852,plain,
( sk_c5 = multiply(identity,sk_c6)
| identity = multiply(sk_c3,sk_c6)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1851,f1060]) ).
fof(f1851,plain,
( identity = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f5,f1060]) ).
fof(f1849,plain,
( sk_c6 = sk_c5
| sk_c6 = inverse(sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1848,f1]) ).
fof(f1848,plain,
( sk_c5 = multiply(identity,sk_c6)
| sk_c6 = inverse(sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f6,f1060]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f1823,plain,
( sk_c6 = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1822,f1]) ).
fof(f1822,plain,
( sk_c5 = multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f8,f1060]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f1800,plain,
( sk_c5 = multiply(sk_c6,identity)
| sk_c6 = inverse(sk_c2)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f24,f1060]) ).
fof(f1798,plain,
( sk_c5 = multiply(sk_c6,identity)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f19,f1060]) ).
fof(f1070,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f859,f1060]) ).
fof(f1271,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f859,f1060]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f1060,plain,
( identity = sk_c7
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1058,plain,
( spl0_13
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f987,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f892,f859]) ).
fof(f1082,plain,
( sk_c5 = multiply(inverse(inverse(sk_c6)),identity)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f1008,f1060]) ).
fof(f1029,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1010]) ).
fof(f1028,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f53,f1010]) ).
fof(f1010,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f53,f1008]) ).
fof(f1021,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1020,f1]) ).
fof(f1020,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f876]) ).
fof(f1019,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f53,f876]) ).
fof(f876,plain,
( sk_c3 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f844]) ).
fof(f1011,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1008]) ).
fof(f1008,plain,
( sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f53,f988]) ).
fof(f1009,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f988]) ).
fof(f988,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f53,f859]) ).
fof(f1004,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f3,f987]) ).
fof(f989,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f859]) ).
fof(f859,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f857,plain,
( spl0_8
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f892,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f495,f53]) ).
fof(f900,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1 ),
inference(superposition,[],[f205,f890]) ).
fof(f891,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_1 ),
inference(superposition,[],[f495,f509]) ).
fof(f904,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f902,f1]) ).
fof(f902,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f890]) ).
fof(f903,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f901,f33]) ).
fof(f901,plain,
( sk_c6 = multiply(inverse(sk_c3),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f890]) ).
fof(f890,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f495,f2]) ).
fof(f898,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f53,f495]) ).
fof(f896,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_1 ),
inference(superposition,[],[f509,f495]) ).
fof(f894,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f53,f495]) ).
fof(f893,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f2,f495]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(superposition,[],[f53,f205]) ).
fof(f885,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f53,f484]) ).
fof(f484,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f53,f1]) ).
fof(f878,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f877,f1]) ).
fof(f877,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f844]) ).
fof(f844,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f53,f509]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f846,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f845,f1]) ).
fof(f845,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f509]) ).
fof(f509,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f203]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f499,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f53,f53]) ).
fof(f488,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f53,f3]) ).
fof(f485,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f53,f2]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f204,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f203]) ).
fof(f203,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f33]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1892,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1891,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f1890,f1063]) ).
fof(f1063,plain,
( identity != sk_c6
| spl0_14 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1062,plain,
( spl0_14
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1890,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f1876,f1845]) ).
fof(f1845,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1066,f1067,f1073,f1089,f1076,f1079,f1090,f1203,f1223,f21,f1218,f1287,f1083,f1060,f1688,f1689,f1697,f1691,f1698,f1693,f1694,f1699,f1788,f23,f1792,f1796,f1798,f1800,f28,f1805,f1823,f1824,f1202,f1833,f1063,f1844]) ).
fof(f1844,plain,
( identity = multiply(sk_c3,sk_c6)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1223,f1060]) ).
fof(f1833,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1063,f1223,f21,f1218,f23,f1792,f28,f1805,f1202]) ).
fof(f1202,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f13,f943]) ).
fof(f1824,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1823,f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1063,f1223,f21,f1218,f1202,f23,f1792,f28,f1805]) ).
fof(f1805,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1063,f1223,f21,f1218,f1202,f23,f1792,f28]) ).
fof(f1796,plain,
( sk_c5 = multiply(sk_c6,identity)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f986,f1060]) ).
fof(f1792,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1063,f1223,f21,f1218,f1202,f23]) ).
fof(f1699,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1695,f1]) ).
fof(f1695,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f945,f1060]) ).
fof(f1694,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f943,f1060]) ).
fof(f1693,plain,
( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f879,f1060]) ).
fof(f1698,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1692,f484]) ).
fof(f1692,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f868,f1060]) ).
fof(f1691,plain,
( identity = multiply(inverse(inverse(identity)),sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f866,f1060]) ).
fof(f1697,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1690,f2]) ).
fof(f1690,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f840,f1060]) ).
fof(f1689,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f839,f1060]) ).
fof(f1688,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f838,f1060]) ).
fof(f1083,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1068,f2]) ).
fof(f1068,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f840,f1060]) ).
fof(f1287,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1269,f2]) ).
fof(f1269,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f840,f1060]) ).
fof(f1218,plain,
( identity = sk_c6
| sk_c6 = inverse(sk_c3)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f11,f943]) ).
fof(f1223,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f10,f943]) ).
fof(f1203,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1063,f1202]) ).
fof(f1090,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1080,f1]) ).
fof(f1080,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f945,f1060]) ).
fof(f1079,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f943,f1060]) ).
fof(f1076,plain,
( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f879,f1060]) ).
fof(f1089,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1074,f484]) ).
fof(f1074,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f868,f1060]) ).
fof(f1073,plain,
( identity = multiply(inverse(inverse(identity)),sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f866,f1060]) ).
fof(f1067,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f839,f1060]) ).
fof(f1066,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f838,f1060]) ).
fof(f1025,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1024,f1]) ).
fof(f1024,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f879]) ).
fof(f1023,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f53,f879]) ).
fof(f879,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f53,f866]) ).
fof(f945,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f868,f53]) ).
fof(f955,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_2 ),
inference(superposition,[],[f838,f943]) ).
fof(f944,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f868,f840]) ).
fof(f986,plain,
( identity = sk_c6
| sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f9,f943]) ).
fof(f959,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f957,f1]) ).
fof(f957,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f943]) ).
fof(f958,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f956,f37]) ).
fof(f956,plain,
( sk_c7 = multiply(inverse(sk_c1),identity)
| ~ spl0_2 ),
inference(superposition,[],[f53,f943]) ).
fof(f943,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f868,f2]) ).
fof(f952,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f53,f868]) ).
fof(f950,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f840,f868]) ).
fof(f948,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f53,f868]) ).
fof(f947,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f2,f868]) ).
fof(f868,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f867,f1]) ).
fof(f867,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f840]) ).
fof(f881,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f880,f1]) ).
fof(f880,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f866]) ).
fof(f866,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f53,f840]) ).
fof(f873,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(superposition,[],[f53,f838]) ).
fof(f838,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f53,f37]) ).
fof(f840,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_2 ),
inference(superposition,[],[f53,f839]) ).
fof(f842,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f841,f1]) ).
fof(f841,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f839]) ).
fof(f839,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f837,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f37,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f484,f17,f22,f12,f7,f4,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14]) ).
fof(f836,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f37,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f484,f17,f14,f22,f12,f7,f4,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15]) ).
fof(f835,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f37,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f484,f17,f14,f15,f22,f12,f7,f4,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18]) ).
fof(f56,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f39]) ).
fof(f39,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f37]) ).
fof(f1876,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f1875,f851]) ).
fof(f851,plain,
( sk_c3 = sk_c4
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f703,f509]) ).
fof(f703,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_5 ),
inference(superposition,[],[f53,f693]) ).
fof(f693,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f215]) ).
fof(f215,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1875,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f1792,f1813]) ).
fof(f1813,plain,
( sk_c6 = sk_c5
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1812,f1]) ).
fof(f1812,plain,
( sk_c5 = multiply(identity,sk_c6)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f855,f1060]) ).
fof(f855,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f1843,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1842,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1066,f1067,f1073,f1089,f1076,f1079,f1090,f1203,f1206,f1207,f1210,f1213,f1223,f21,f1218,f931,f1287,f1083,f1060,f1688,f1689,f1697,f1691,f1698,f1693,f1694,f1699,f1788,f23,f1792,f1796,f1798,f1800,f1803,f28,f1805,f1806,f1810,f1811,f1820,f1821,f1823,f1824,f1827,f1828,f1831,f1832,f1202,f1833,f1834,f1835,f1837,f1838,f1214,f1839,f1063]) ).
fof(f1839,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f1207,f1060]) ).
fof(f1214,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_10
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1063,f931,f1202,f1203,f1206,f1207,f1210,f1213]) ).
fof(f1838,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1066,f1067,f1073,f1089,f1076,f1079,f1090,f1203,f1206,f1207,f1210,f1213,f1214,f1063,f1223,f21,f1218,f931,f1287,f1083,f1060,f1688,f1689,f1697,f1691,f1698,f1693,f1694,f1699,f1788,f23,f1792,f1796,f1798,f1800,f1803,f28,f1805,f1806,f1810,f1811,f1820,f1821,f1823,f1824,f1827,f1828,f1831,f1832,f1202,f1833,f1834,f1835,f1837]) ).
fof(f1837,plain,
( identity = multiply(identity,sk_c6)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1836,f1060]) ).
fof(f1836,plain,
( sk_c7 = multiply(identity,sk_c6)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1223,f931]) ).
fof(f1835,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_10
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1206,f1207,f1210,f1213,f1214,f1063,f1223,f21,f1218,f931,f23,f1792,f28,f1805,f1806,f1831,f1202,f1833,f1834]) ).
fof(f1834,plain,
( sk_c6 = inverse(identity)
| identity = sk_c6
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1218,f931]) ).
fof(f1832,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f4,f484,f885,f1210,f1063,f21,f931,f1060,f1788,f23,f1798,f1800,f1803,f28,f1806,f1810,f1811,f1820,f1821,f1823,f1827,f1831]) ).
fof(f1831,plain,
( sk_c6 = inverse(identity)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f21,f931]) ).
fof(f1828,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1827,f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1203,f1206,f1207,f1210,f1213,f1214,f1063,f1223,f21,f1218,f1202,f931,f23,f1792,f28,f1805,f1806]) ).
fof(f1827,plain,
( sk_c6 = sk_c5
| sk_c6 = inverse(identity)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1826,f1]) ).
fof(f1826,plain,
( sk_c5 = multiply(identity,sk_c6)
| sk_c6 = inverse(identity)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1825,f1060]) ).
fof(f1825,plain,
( sk_c6 = inverse(identity)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f6,f931]) ).
fof(f1821,plain,
( sk_c6 = sk_c5
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f4,f484,f885,f1210,f1063,f21,f931,f1060,f1788,f23,f1798,f1800,f1803,f28,f1806,f1810,f1811,f1820]) ).
fof(f1820,plain,
( sk_c6 = sk_c5
| identity = sk_c6
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1819,f1]) ).
fof(f1819,plain,
( sk_c5 = multiply(identity,sk_c6)
| identity = sk_c6
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1818,f1060]) ).
fof(f1818,plain,
( identity = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1817,f1060]) ).
fof(f1817,plain,
( sk_c7 = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1816,f1]) ).
fof(f1816,plain,
( sk_c7 = multiply(identity,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f5,f931]) ).
fof(f1811,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f15,f14,f4,f484,f885,f1210,f1063,f21,f931,f1060,f1788,f23,f1798,f1800,f1803,f28,f1806,f1810]) ).
fof(f1810,plain,
( identity = sk_c6
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1809,f1060]) ).
fof(f1809,plain,
( sk_c7 = sk_c6
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1808,f1]) ).
fof(f1808,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f20,f931]) ).
fof(f1806,plain,
( sk_c6 = inverse(identity)
| sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f26,f931]) ).
fof(f1803,plain,
( identity = multiply(identity,sk_c6)
| sk_c6 = inverse(sk_c2)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1802,f1060]) ).
fof(f1802,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f25,f931]) ).
fof(f931,plain,
( identity = sk_c3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl0_10
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1213,plain,
( identity = sk_c6
| sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1212,f943]) ).
fof(f1212,plain,
( sk_c6 = inverse(identity)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f11,f931]) ).
fof(f1210,plain,
( sk_c6 = inverse(identity)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f21,f931]) ).
fof(f1207,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_10
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1063,f931,f1202,f1203,f1206]) ).
fof(f1206,plain,
( identity = sk_c6
| sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1205,f943]) ).
fof(f1205,plain,
( sk_c7 = sk_c6
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1204,f1]) ).
fof(f1204,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f10,f931]) ).
fof(f1841,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1840,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1066,f1067,f1073,f1089,f1076,f1079,f1090,f1203,f1206,f1207,f1210,f1213,f1063,f1223,f21,f1218,f931,f1287,f1083,f1060,f1688,f1689,f1697,f1691,f1698,f1693,f1694,f1699,f1788,f23,f1792,f1796,f1798,f1800,f1803,f28,f1805,f1806,f1810,f1811,f1820,f1821,f1823,f1824,f1827,f1828,f1831,f1832,f1202,f1833,f1834,f1835,f1837,f1838,f1214,f1839]) ).
fof(f1779,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1760,f1062,f1058,f857,f213,f35,f663,f663,f663,f663]) ).
fof(f663,plain,
( spl0_6
<=> ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1760,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1759,f1]) ).
fof(f1759,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(identity,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1758,f1060]) ).
fof(f1758,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c7,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1757,f1064]) ).
fof(f1064,plain,
( identity = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1757,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c7,sk_c6)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1756,f1665]) ).
fof(f1665,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1454,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f859,f989,f988,f1009,f1008,f1011,f1010,f1028,f1029,f1082,f1147,f1148,f1149,f21,f1064,f1242,f1243,f1060,f1292,f1266,f1331,f1390,f1241,f1245,f1158,f1583,f1604]) ).
fof(f1604,plain,
( sk_c7 = sk_c5
| sk_c5 = multiply(sk_c2,identity)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1603,f1]) ).
fof(f1603,plain,
( sk_c5 = multiply(identity,sk_c7)
| sk_c5 = multiply(sk_c2,identity)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1602,f1064]) ).
fof(f1602,plain,
( sk_c5 = multiply(sk_c2,identity)
| sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f19,f1064]) ).
fof(f1583,plain,
( sk_c7 = sk_c5
| identity = inverse(sk_c2)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1582,f1]) ).
fof(f1582,plain,
( sk_c5 = multiply(identity,sk_c7)
| identity = inverse(sk_c2)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1581,f1064]) ).
fof(f1581,plain,
( identity = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f24,f1064]) ).
fof(f1158,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1139,f1]) ).
fof(f1139,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f859,f1064]) ).
fof(f1245,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1237,f1]) ).
fof(f1237,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f859,f1064]) ).
fof(f1241,plain,
( sk_c7 = multiply(inverse(identity),sk_c5)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f988,f1064]) ).
fof(f1390,plain,
( sk_c5 = multiply(sk_c2,identity)
| identity = inverse(sk_c3)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1389,f1064]) ).
fof(f1389,plain,
( identity = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f21,f1064]) ).
fof(f1331,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1330,f1060]) ).
fof(f1330,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1320,f1064]) ).
fof(f1320,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1010,f1266]) ).
fof(f1266,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1265,f1]) ).
fof(f1265,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1070,f1064]) ).
fof(f1292,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1291,f1]) ).
fof(f1291,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1271,f1064]) ).
fof(f1243,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c5)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f1010,f1064]) ).
fof(f1242,plain,
( sk_c5 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f1008,f1064]) ).
fof(f1149,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c5)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f1010,f1064]) ).
fof(f1148,plain,
( sk_c5 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f1008,f1064]) ).
fof(f1147,plain,
( sk_c7 = multiply(inverse(identity),sk_c5)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f988,f1064]) ).
fof(f1454,plain,
( sk_c7 = sk_c5
| identity = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1453,f955]) ).
fof(f1453,plain,
( sk_c5 = multiply(sk_c7,identity)
| identity = sk_c5
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1452,f1064]) ).
fof(f1452,plain,
( identity = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1451,f1064]) ).
fof(f1451,plain,
( sk_c6 = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1450,f1]) ).
fof(f1450,plain,
( sk_c6 = multiply(identity,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f8,f1353]) ).
fof(f1353,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f1235,f1]) ).
fof(f1235,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f693,f1064]) ).
fof(f1756,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1755,f1064]) ).
fof(f1755,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1754,f1060]) ).
fof(f1754,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1753,f1064]) ).
fof(f1753,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1752,f1665]) ).
fof(f1752,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1751,f1060]) ).
fof(f1751,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1750,f1064]) ).
fof(f1750,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1749,f1665]) ).
fof(f1749,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1748,f1064]) ).
fof(f1748,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1747,f1665]) ).
fof(f1747,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c5
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1746,f1]) ).
fof(f1746,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(identity,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1745,f1064]) ).
fof(f1745,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(sk_c6,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1744,f1060]) ).
fof(f1744,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1743,f1064]) ).
fof(f1743,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1742,f1064]) ).
fof(f1742,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1741,f1064]) ).
fof(f1664,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1663,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1662,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1638,plain,
( sk_c7 != sk_c5
| spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1637,f1]) ).
fof(f1637,plain,
( sk_c5 != multiply(identity,sk_c7)
| spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f858,f1064]) ).
fof(f984,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f971,f1]) ).
fof(f971,plain,
( sk_c5 != multiply(identity,sk_c7)
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f858,f961]) ).
fof(f1621,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1620,f1059]) ).
fof(f1620,plain,
( identity = sk_c7
| sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1619,f1]) ).
fof(f1619,plain,
( sk_c7 = multiply(identity,identity)
| sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1458,f931]) ).
fof(f1593,plain,
( sk_c5 = multiply(sk_c2,identity)
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1592,f1059]) ).
fof(f1592,plain,
( identity = sk_c7
| sk_c5 = multiply(sk_c2,identity)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1591,f1]) ).
fof(f1591,plain,
( sk_c7 = multiply(identity,identity)
| sk_c5 = multiply(sk_c2,identity)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1590,f931]) ).
fof(f1590,plain,
( sk_c7 = multiply(sk_c3,identity)
| sk_c5 = multiply(sk_c2,identity)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1550,f1064]) ).
fof(f1550,plain,
( sk_c5 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f20,f1064]) ).
fof(f1577,plain,
( identity = inverse(sk_c2)
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1576,f1059]) ).
fof(f1576,plain,
( identity = sk_c7
| identity = inverse(sk_c2)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1575,f1]) ).
fof(f1575,plain,
( sk_c7 = multiply(identity,identity)
| identity = inverse(sk_c2)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1574,f931]) ).
fof(f1574,plain,
( sk_c7 = multiply(sk_c3,identity)
| identity = inverse(sk_c2)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1573,f1064]) ).
fof(f1573,plain,
( identity = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f25,f1064]) ).
fof(f1059,plain,
( identity != sk_c7
| spl0_13 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1458,plain,
( sk_c7 = sk_c5
| sk_c7 = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1457,f955]) ).
fof(f1457,plain,
( sk_c5 = multiply(sk_c7,identity)
| sk_c7 = multiply(sk_c3,identity)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1456,f1064]) ).
fof(f1456,plain,
( sk_c7 = multiply(sk_c3,identity)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5,f1064]) ).
fof(f1448,plain,
( sk_c7 = sk_c5
| identity = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1447,f955]) ).
fof(f1447,plain,
( sk_c5 = multiply(sk_c7,identity)
| identity = inverse(sk_c3)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1446,f1064]) ).
fof(f1446,plain,
( identity = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f6,f1064]) ).
fof(f1231,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_14 ),
inference(global_subsumption,[],[f1202,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f1064,f21]) ).
fof(f1230,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_14 ),
inference(global_subsumption,[],[f1218,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f1064,f21]) ).
fof(f1228,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_14 ),
inference(global_subsumption,[],[f1223,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f1064,f21]) ).
fof(f961,plain,
( identity = sk_c6
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f960,f943]) ).
fof(f960,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_8 ),
inference(subsumption_resolution,[],[f9,f858]) ).
fof(f858,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_8 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f1662,plain,
( identity = inverse(sk_c2)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f211,f1064]) ).
fof(f211,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1660,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1659]) ).
fof(f1659,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f964,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f964,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(superposition,[],[f217,f961]) ).
fof(f217,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_4 ),
inference(superposition,[],[f2,f211]) ).
fof(f1657,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1656,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1655,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1655,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1522,f931]) ).
fof(f1522,plain,
( sk_c7 = multiply(sk_c5,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1208,f847]) ).
fof(f847,plain,
( sk_c3 = sk_c2
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f512,f509]) ).
fof(f512,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f53,f217]) ).
fof(f1208,plain,
( sk_c7 = multiply(sk_c5,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1036,f955]) ).
fof(f1036,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f864,f217]) ).
fof(f864,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_7 ),
inference(superposition,[],[f3,f855]) ).
fof(f1654,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1653,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1485,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1485,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1481,f1064]) ).
fof(f1481,plain,
( sk_c6 = inverse(identity)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f211,f1383]) ).
fof(f1383,plain,
( identity = sk_c2
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1382,f2]) ).
fof(f1382,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f512,f1064]) ).
fof(f1652,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1651,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1383,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1650,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1649,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1388,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1388,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1208,f1157]) ).
fof(f1157,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1138,f955]) ).
fof(f1138,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f855,f1064]) ).
fof(f1647,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1646,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1523,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1523,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1522,f931]) ).
fof(f1645,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1644,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1208,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1643,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1642]) ).
fof(f1642,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1641,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1641,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f847,f931]) ).
fof(f1640,plain,
( ~ spl0_2
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1639]) ).
fof(f1639,plain,
( $false
| ~ spl0_2
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f858,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f961,f986,f944,f955,f945,f879,f1023,f1025,f1206,f1210,f1213,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1390,f1448,f1458,f1059,f931,f1577,f1583,f1593,f1604,f1621,f984,f1638]) ).
fof(f1634,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1633,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1583,f1465,f1604,f1466,f1464,f1157,f1469,f1628,f984]) ).
fof(f1628,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f970,f955]) ).
fof(f1469,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1468,f955]) ).
fof(f1468,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f855,f1064]) ).
fof(f1464,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1138,f955]) ).
fof(f1466,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1236,f955]) ).
fof(f1236,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f855,f1064]) ).
fof(f1465,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f946,f1064]) ).
fof(f1391,plain,
( sk_c7 = multiply(sk_c2,identity)
| identity = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1390,f1157]) ).
fof(f1253,plain,
( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1248,f1064]) ).
fof(f1248,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f882,f1157]) ).
fof(f1239,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f869,f1064]) ).
fof(f1246,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1238,f1]) ).
fof(f1238,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f864,f1064]) ).
fof(f1244,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1236,f955]) ).
fof(f1232,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1138,f955]) ).
fof(f1177,plain,
( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1169,f1064]) ).
fof(f1169,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f882,f1157]) ).
fof(f1141,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f869,f1064]) ).
fof(f1159,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1140,f1]) ).
fof(f1140,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f864,f1064]) ).
fof(f1038,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f53,f864]) ).
fof(f1037,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f945,f864]) ).
fof(f1027,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f882]) ).
fof(f1026,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f53,f882]) ).
fof(f882,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f53,f869]) ).
fof(f996,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f3,f946]) ).
fof(f946,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f868,f863]) ).
fof(f972,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f869,f961]) ).
fof(f970,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f855,f961]) ).
fof(f953,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f863,f868]) ).
fof(f883,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f869]) ).
fof(f869,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f53,f863]) ).
fof(f870,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f863]) ).
fof(f863,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f53,f855]) ).
fof(f1630,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1583,f1465,f1604,f1466,f1464,f1157,f1469,f1628]) ).
fof(f1625,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1624,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1454,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1583,f1465,f1604,f1466,f1464,f1157,f1469]) ).
fof(f1623,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1622,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1621,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1583,f1465,f1604,f1466,f1464,f1157,f1469]) ).
fof(f1618,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1617,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1583,f1465,f1604,f1466,f1464,f1157,f1469]) ).
fof(f1616,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1469,f1583,f1465,f1604,f1466,f1464,f1157]) ).
fof(f1614,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1613,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1469,f1583,f1465,f1604,f1466,f1464]) ).
fof(f1612,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1469,f1583,f1465,f1604,f1466]) ).
fof(f1610,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1609,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(global_subsumption,[],[f1520,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1466,f1469,f1583,f1465,f1604]) ).
fof(f1520,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1042,f931]) ).
fof(f1042,plain,
( sk_c7 = multiply(sk_c5,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1034,f955]) ).
fof(f1034,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c3)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f864,f203]) ).
fof(f1608,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1607,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1467,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1466,f1469,f1583,f1465,f1604]) ).
fof(f1467,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1209,f1353]) ).
fof(f1209,plain,
( sk_c7 = multiply(sk_c5,sk_c4)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1035,f955]) ).
fof(f1035,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c4)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f864,f693]) ).
fof(f1606,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1605,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1466,f1469,f1583,f1465,f1604]) ).
fof(f1601,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1600,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(global_subsumption,[],[f1189,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1466,f1469,f1583,f1465]) ).
fof(f1189,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f1042,f931]) ).
fof(f1599,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1598,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1466,f1469,f1583,f1465]) ).
fof(f1597,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1596,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1040,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1465,f1466,f1469,f1583]) ).
fof(f1040,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1030,f855]) ).
fof(f1030,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f864,f900]) ).
fof(f1595,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1594,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1593,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1465,f1466,f1469,f1583]) ).
fof(f1589,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1588,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1587,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1465,f1466,f1469,f1583]) ).
fof(f1587,plain,
( identity = multiply(identity,sk_c5)
| identity = inverse(sk_c2)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1586,f1064]) ).
fof(f1586,plain,
( sk_c6 = multiply(identity,sk_c5)
| identity = inverse(sk_c2)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1567,f1353]) ).
fof(f1567,plain,
( identity = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f28,f1064]) ).
fof(f1585,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f858,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f961,f970,f984,f972,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1253,f1391,f1390,f1448,f1458,f1157,f1464,f1465,f1466,f1469,f1583]) ).
fof(f1580,plain,
( spl0_4
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1579,plain,
( $false
| spl0_4
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f1210,f21,f1064,f1390,f1059,f931,f1577,f1578]) ).
fof(f1578,plain,
( identity != inverse(sk_c2)
| spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f210,f1064]) ).
fof(f210,plain,
( sk_c6 != inverse(sk_c2)
| spl0_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f1560,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1559]) ).
fof(f1559,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1558,f1059]) ).
fof(f1558,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1557,f1]) ).
fof(f1557,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1556,f931]) ).
fof(f1556,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1555,f1064]) ).
fof(f1555,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1554,f1059]) ).
fof(f1554,plain,
( identity = sk_c7
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1553,f1455]) ).
fof(f1455,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1454,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f859,f989,f988,f1009,f1008,f1011,f1010,f1028,f1029,f1147,f1148,f1149,f21,f1064,f1242,f1243,f1390,f1241,f1245,f1158]) ).
fof(f1553,plain,
( identity = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1552,f1]) ).
fof(f1552,plain,
( sk_c5 = multiply(identity,identity)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1551,f931]) ).
fof(f1551,plain,
( sk_c5 = multiply(sk_c3,identity)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1550,f847]) ).
fof(f1537,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1536,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f1535,f941]) ).
fof(f941,plain,
( identity != sk_c1
| spl0_12 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f939,plain,
( spl0_12
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1535,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1531,f2]) ).
fof(f1531,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f879,f936]) ).
fof(f936,plain,
( identity = inverse(inverse(sk_c7))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f935,plain,
( spl0_11
<=> identity = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1491,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1433,f1062,f213,f31,f930]) ).
fof(f1433,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f851,f1353]) ).
fof(f1463,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1462,plain,
( $false
| ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f859,f989,f944,f955,f988,f1009,f1008,f1011,f945,f879,f1023,f1025,f1010,f1028,f1029,f1147,f1148,f1149,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1064,f1242,f1243,f1390,f1241,f1245,f1158,f1448,f1458,f1459,f1461]) ).
fof(f1461,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1460,f955]) ).
fof(f1460,plain,
( sk_c5 != multiply(sk_c7,identity)
| spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f854,f1064]) ).
fof(f1459,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14 ),
inference(global_subsumption,[],[f1458,f1,f2,f16,f3,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885,f859,f989,f988,f1009,f1008,f1011,f1010,f1028,f1029,f1147,f1148,f1149,f21,f1064,f1242,f1243,f1390,f1241,f1245,f1158]) ).
fof(f1444,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1442,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1108,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f37,f940]) ).
fof(f1110,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f839,f940]) ).
fof(f1119,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1109,f1]) ).
fof(f1109,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f838,f940]) ).
fof(f1112,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f943,f940]) ).
fof(f1381,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1380,f1064]) ).
fof(f1380,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1379,f1]) ).
fof(f1379,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1115,f1157]) ).
fof(f1111,plain,
( identity = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f866,f940]) ).
fof(f1114,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f945,f940]) ).
fof(f1115,plain,
( sk_c6 = multiply(identity,sk_c5)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f946,f940]) ).
fof(f940,plain,
( identity = sk_c1
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1442,plain,
( identity = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f33,f1064]) ).
fof(f1440,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f847,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1438,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1175,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1175,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f1042,f1157]) ).
fof(f1435,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1433,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1432,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1430,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1430,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f987,f1157]) ).
fof(f1429,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1427,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1427,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1042,f1157]) ).
fof(f1426,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1424,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1424,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1181,f1064]) ).
fof(f1181,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f33,f931]) ).
fof(f1423,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1422,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1190,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1190,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1181,f1064]) ).
fof(f1419,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1418,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1153,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1153,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1135,f2]) ).
fof(f1135,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f509,f1064]) ).
fof(f1417,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1416,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1171,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1171,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f987,f1157]) ).
fof(f1415,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1414,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f931,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1413,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1412,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108,f1059]) ).
fof(f1411,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1410,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110,f1108]) ).
fof(f1408,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1406,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110]) ).
fof(f1406,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1361,f1064]) ).
fof(f1361,plain,
( sk_c6 = inverse(identity)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f215,f1353]) ).
fof(f1405,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f201,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110]) ).
fof(f201,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_3
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1403,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1402,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f936,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110]) ).
fof(f1401,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1400,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119,f1110]) ).
fof(f1399,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1110,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112,f1119]) ).
fof(f1397,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1376,f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1110,f1119,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112]) ).
fof(f1376,plain,
( identity = inverse(inverse(identity))
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f927,f1064]) ).
fof(f927,plain,
( identity = inverse(inverse(sk_c6))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl0_9
<=> identity = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1395,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
fof(f1394,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1111,f1110,f1119,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381,f1112]) ).
fof(f1393,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1392,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f3,f56,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f855,f840,f863,f870,f838,f873,f866,f881,f869,f883,f484,f885,f868,f947,f948,f950,f952,f953,f943,f958,f959,f986,f944,f946,f996,f955,f945,f879,f1023,f1025,f882,f1026,f1027,f864,f1037,f1038,f940,f1115,f1114,f1112,f1111,f1110,f1119,f1108,f1059,f1159,f1141,f1177,f1223,f1228,f21,f1218,f1230,f1202,f1231,f1232,f1064,f1244,f1246,f1239,f1157,f1253,f1391,f1381]) ).
fof(f1387,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1365,f1058,f200,f663]) ).
fof(f1365,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1364,f1060]) ).
fof(f1364,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f201,f1060]) ).
fof(f1375,plain,
( ~ spl0_2
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1374,plain,
( $false
| ~ spl0_2
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1373,f1116]) ).
fof(f1116,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1108,f1060]) ).
fof(f1373,plain,
( identity != inverse(identity)
| ~ spl0_2
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1146,f1116]) ).
fof(f1146,plain,
( identity != inverse(inverse(identity))
| spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f928,f1064]) ).
fof(f928,plain,
( identity != inverse(inverse(sk_c6))
| spl0_9 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1368,plain,
( ~ spl0_2
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| ~ spl0_2
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1366,f1116]) ).
fof(f1366,plain,
( identity != inverse(identity)
| ~ spl0_2
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1078,f1116]) ).
fof(f1078,plain,
( identity != inverse(inverse(identity))
| spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f937,f1060]) ).
fof(f937,plain,
( identity != inverse(inverse(sk_c7))
| spl0_11 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f1260,plain,
( spl0_1
| ~ spl0_2
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1258,f1059]) ).
fof(f1258,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f122,f1064]) ).
fof(f122,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f120,f67]) ).
fof(f67,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f65,f62]) ).
fof(f62,plain,
( sk_c7 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f58,f42]) ).
fof(f42,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f32]) ).
fof(f32,plain,
( sk_c6 != inverse(sk_c3)
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f32]) ).
fof(f65,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| spl0_1 ),
inference(superposition,[],[f57,f44]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f21,f32]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f52,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f41]) ).
fof(f41,plain,
( identity = multiply(sk_c6,sk_c2)
| spl0_1 ),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c2)
| spl0_1 ),
inference(subsumption_resolution,[],[f26,f32]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f119,f1]) ).
fof(f119,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f116]) ).
fof(f116,plain,
( identity = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f115,f41]) ).
fof(f115,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f48]) ).
fof(f48,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f43]) ).
fof(f113,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c1,multiply(sk_c7,identity))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f100]) ).
fof(f100,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f91,f41]) ).
fof(f91,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f49,f62]) ).
fof(f49,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| spl0_1 ),
inference(superposition,[],[f3,f42]) ).
fof(f1227,plain,
( spl0_1
| ~ spl0_2
| spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1226,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10
| spl0_14 ),
inference(global_subsumption,[],[f932,f1,f2,f16,f39,f40,f41,f42,f43,f44,f3,f49,f50,f56,f61,f58,f63,f64,f57,f67,f69,f48,f70,f76,f74,f78,f81,f73,f85,f82,f88,f90,f95,f96,f97,f91,f98,f107,f106,f111,f100,f118,f116,f120,f121,f125,f126,f128,f129,f141,f132,f142,f137,f151,f155,f138,f158,f159,f139,f160,f180,f169,f174,f165,f152,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1202,f1203,f1063,f150,f123,f62,f122,f32,f1218,f21,f1223]) ).
fof(f123,plain,
( identity = sk_c2
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f120,f41]) ).
fof(f150,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f146,f122]) ).
fof(f146,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f40,f123]) ).
fof(f152,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f96,f122]) ).
fof(f165,plain,
( identity = sk_c1
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f139,f39]) ).
fof(f174,plain,
( identity = sk_c1
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f139]) ).
fof(f169,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f139]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f167,f120]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f139]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f139,f56]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f120,f122]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f157,f1]) ).
fof(f157,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f138]) ).
fof(f158,plain,
( identity = multiply(sk_c1,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f156,f116]) ).
fof(f156,plain,
( multiply(sk_c1,identity) = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f138]) ).
fof(f138,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f116,f122]) ).
fof(f155,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f129,f123]) ).
fof(f151,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2,f150]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f91,f122]) ).
fof(f142,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f136,f39]) ).
fof(f136,plain,
( identity = multiply(sk_c7,multiply(sk_c7,sk_c1))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f82,f122]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f122]) ).
fof(f141,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f131,f62]) ).
fof(f131,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f44,f122]) ).
fof(f129,plain,
( identity = multiply(sk_c7,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f41,f122]) ).
fof(f128,plain,
( identity = sk_c2
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f41,f120]) ).
fof(f126,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f120]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f120]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f120,f57]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f117,f1]) ).
fof(f117,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c7,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f114,f3]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(multiply(sk_c7,identity),X0)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f100]) ).
fof(f111,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f106]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f62]) ).
fof(f105,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f99,f42]) ).
fof(f99,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f91,f67]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f103,f48]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f91]) ).
fof(f98,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f91,f57]) ).
fof(f97,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f50,f62]) ).
fof(f96,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != sk_c6
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(inner_rewriting,[],[f95]) ).
fof(f95,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != sk_c6
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f94,f62]) ).
fof(f94,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != sk_c6
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f62]) ).
fof(f93,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c6
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f92,f62]) ).
fof(f92,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != sk_c5
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f61,f67]) ).
fof(f90,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,multiply(sk_c1,X0))) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f89,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,multiply(sk_c1,X0)))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f3]) ).
fof(f87,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c6,sk_c1),X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f82]) ).
fof(f88,plain,
( multiply(sk_c6,sk_c1) = multiply(sk_c6,multiply(sk_c6,sk_c1))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f86,f73]) ).
fof(f86,plain,
( multiply(sk_c1,identity) = multiply(sk_c6,multiply(sk_c6,sk_c1))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f82]) ).
fof(f82,plain,
( identity = multiply(sk_c7,multiply(sk_c6,sk_c1))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f73]) ).
fof(f85,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f84,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f83,f3]) ).
fof(f83,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c1),X0)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c1) = multiply(sk_c1,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f39]) ).
fof(f81,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f78]) ).
fof(f78,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f77,f43]) ).
fof(f77,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f72,f62]) ).
fof(f72,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5)
| spl0_1 ),
inference(superposition,[],[f48,f42]) ).
fof(f74,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f48]) ).
fof(f76,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f71,f43]) ).
fof(f71,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f58]) ).
fof(f70,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f48,f56]) ).
fof(f69,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f67]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f58]) ).
fof(f63,plain,
( sk_c7 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f42,f58]) ).
fof(f61,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1 ),
inference(subsumption_resolution,[],[f29,f42]) ).
fof(f50,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f44]) ).
fof(f932,plain,
( identity != sk_c3
| spl0_10 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1225,plain,
( spl0_1
| ~ spl0_2
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f40,f41,f42,f43,f44,f3,f49,f50,f56,f61,f58,f63,f64,f57,f67,f69,f48,f70,f76,f74,f78,f81,f73,f85,f82,f88,f90,f95,f96,f97,f91,f98,f107,f106,f111,f100,f118,f116,f120,f121,f125,f126,f128,f129,f141,f132,f142,f137,f151,f155,f138,f158,f159,f139,f160,f180,f169,f174,f165,f152,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1202,f1203,f1063,f150,f123,f62,f122,f32,f1218,f21,f1223]) ).
fof(f1222,plain,
( spl0_1
| ~ spl0_2
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1221,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f40,f41,f42,f43,f44,f3,f49,f50,f56,f61,f58,f63,f64,f57,f67,f69,f48,f70,f76,f74,f78,f81,f73,f85,f82,f88,f90,f95,f96,f97,f91,f98,f107,f106,f111,f100,f118,f116,f120,f121,f125,f126,f128,f129,f141,f132,f142,f137,f151,f155,f138,f158,f159,f139,f160,f180,f169,f174,f165,f152,f28,f25,f24,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1202,f1203,f1063,f150,f123,f62,f122,f32,f1218,f21]) ).
fof(f1220,plain,
( spl0_1
| ~ spl0_2
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f39,f40,f41,f42,f43,f44,f3,f49,f50,f56,f61,f58,f63,f64,f57,f67,f69,f48,f70,f76,f74,f78,f81,f73,f85,f82,f88,f90,f95,f96,f97,f91,f98,f107,f106,f111,f100,f118,f116,f120,f121,f125,f126,f128,f129,f141,f132,f142,f137,f151,f155,f138,f158,f159,f139,f160,f180,f169,f174,f165,f152,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f1202,f1203,f1063,f150,f123,f62,f122,f32,f1218]) ).
fof(f1217,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_14 ),
inference(global_subsumption,[],[f1,f2,f16,f32,f39,f40,f41,f42,f43,f44,f3,f49,f50,f56,f61,f58,f63,f64,f57,f67,f69,f48,f70,f76,f74,f78,f81,f73,f85,f82,f88,f90,f95,f96,f97,f91,f98,f107,f106,f111,f100,f118,f116,f120,f121,f125,f126,f128,f129,f141,f132,f142,f137,f151,f155,f138,f158,f159,f139,f160,f180,f169,f174,f165,f152,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f835,f15,f836,f14,f837,f37,f839,f842,f4,f840,f838,f873,f866,f881,f484,f885,f868,f947,f948,f950,f952,f943,f958,f959,f986,f944,f955,f945,f879,f1023,f1025,f931,f1202,f1203,f1206,f1207,f1210,f1211,f1213,f1214,f1063,f150,f123,f62,f122,f1215]) ).
fof(f1215,plain,
( sk_c6 != inverse(identity)
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f32,f931]) ).
fof(f1211,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_1
| ~ spl0_10 ),
inference(global_subsumption,[],[f1210,f1,f2,f16,f32,f40,f41,f42,f43,f44,f3,f49,f50,f61,f57,f48,f28,f25,f24,f21,f11,f6,f26,f27,f53,f485,f488,f499,f17,f22,f12,f7,f5,f8,f9,f10,f13,f29,f23,f20,f19,f18,f15,f14,f4,f484,f885]) ).
fof(f1192,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1190,f829]) ).
fof(f829,plain,
( identity != inverse(identity)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f825]) ).
fof(f825,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f664,f1]) ).
fof(f664,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f1155,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl0_1
| spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1153,f932]) ).
fof(f1118,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1116,f829]) ).
fof(f1085,plain,
( ~ spl0_2
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl0_2
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1083,f941]) ).
fof(f1065,plain,
( spl0_13
| spl0_14
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1052,f35,f31,f1062,f1058]) ).
fof(f1052,plain,
( identity = sk_c6
| identity = sk_c7
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1051,f943]) ).
fof(f1051,plain,
( identity = sk_c7
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f10,f890]) ).
fof(f982,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_8
| spl0_10 ),
inference(subsumption_resolution,[],[f980,f932]) ).
fof(f980,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f967,f2]) ).
fof(f967,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f509,f961]) ).
fof(f942,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f865,f663,f35,f939,f935]) ).
fof(f865,plain,
( identity != sk_c1
| identity != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f664,f840]) ).
fof(f933,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f843,f663,f31,f930,f926]) ).
fof(f843,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f664,f509]) ).
fof(f860,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f4,f857,f853]) ).
fof(f834,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f832,f763]) ).
fof(f763,plain,
( identity = inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f757,f726]) ).
fof(f726,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f724,f2]) ).
fof(f724,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f53,f723]) ).
fof(f723,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f702,f706]) ).
fof(f706,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f699,f676]) ).
fof(f676,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f20,f19,f18,f15,f36,f17,f675,f14]) ).
fof(f675,plain,
( sk_c6 = inverse(sk_c4)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f20,f19,f18,f15,f14,f36,f17]) ).
fof(f36,plain,
( sk_c7 != inverse(sk_c1)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f699,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f697,f33]) ).
fof(f697,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| spl0_2 ),
inference(superposition,[],[f53,f677]) ).
fof(f677,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f20,f19,f18,f36,f17,f675,f14,f676,f15]) ).
fof(f702,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f700,f215]) ).
fof(f700,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| spl0_2 ),
inference(superposition,[],[f53,f678]) ).
fof(f678,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f20,f19,f36,f17,f675,f14,f676,f15,f677,f18]) ).
fof(f757,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f33,f747]) ).
fof(f747,plain,
( identity = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f727,f1]) ).
fof(f727,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f203,f726]) ).
fof(f832,plain,
( identity != inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f828,f763]) ).
fof(f828,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f826]) ).
fof(f826,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f664,f2]) ).
fof(f831,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f829,f763]) ).
fof(f802,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f770,f213,f35,f31,f663,f663,f663,f663]) ).
fof(f770,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f769,f726]) ).
fof(f769,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f768,f726]) ).
fof(f768,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f767,f726]) ).
fof(f767,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f766,f726]) ).
fof(f766,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f765,f726]) ).
fof(f765,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f764,f726]) ).
fof(f764,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f722,f726]) ).
fof(f722,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f721,f1]) ).
fof(f721,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(identity,sk_c6)
| sk_c6 != multiply(X3,identity)
| sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f720,f710]) ).
fof(f710,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f708,f2]) ).
fof(f708,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f53,f699]) ).
fof(f720,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(X3,identity)
| sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f719,f706]) ).
fof(f719,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f718,f710]) ).
fof(f718,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f717,f706]) ).
fof(f717,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,sk_c6)
| sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f716,f710]) ).
fof(f716,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c6)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f715,f706]) ).
fof(f715,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f682,f710]) ).
fof(f682,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f36,f17,f675,f14,f676,f15,f677,f18,f678,f19,f679,f20,f680,f23,f681,f29]) ).
fof(f681,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f36,f17,f675,f14,f676,f15,f677,f18,f678,f19,f679,f20,f680,f23]) ).
fof(f680,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f36,f17,f675,f14,f676,f15,f677,f18,f678,f19,f679,f20]) ).
fof(f679,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f53,f485,f488,f499,f484,f23,f20,f36,f17,f675,f14,f676,f15,f677,f18,f678,f19]) ).
fof(f674,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f17,f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20,f667,f19,f668,f238,f223,f230,f18,f669,f15,f670,f14,f671,f672,f36]) ).
fof(f672,plain,
( sk_c7 = inverse(sk_c1)
| spl0_5 ),
inference(subsumption_resolution,[],[f17,f214]) ).
fof(f671,plain,
( sk_c7 = inverse(sk_c1)
| spl0_5 ),
inference(global_subsumption,[],[f17,f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20,f667,f19,f668,f238,f223,f230,f18,f669,f15,f670,f14]) ).
fof(f670,plain,
( sk_c7 = inverse(sk_c1)
| spl0_5 ),
inference(global_subsumption,[],[f17,f14,f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20,f667,f19,f668,f238,f223,f230,f18,f669,f15]) ).
fof(f669,plain,
( sk_c7 = inverse(sk_c1)
| spl0_5 ),
inference(global_subsumption,[],[f17,f14,f15,f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20,f667,f19,f668,f238,f223,f230,f18]) ).
fof(f230,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_5 ),
inference(subsumption_resolution,[],[f22,f214]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| spl0_5 ),
inference(superposition,[],[f3,f222]) ).
fof(f238,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5)
| spl0_5 ),
inference(superposition,[],[f226,f222]) ).
fof(f668,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_5 ),
inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f29,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f223,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20,f667,f19]) ).
fof(f667,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_5 ),
inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f29,f19,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f223,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23,f666,f20]) ).
fof(f666,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| spl0_5 ),
inference(global_subsumption,[],[f17,f14,f15,f18,f1,f2,f16,f3,f29,f20,f19,f13,f10,f9,f8,f5,f4,f28,f25,f24,f22,f21,f12,f11,f7,f6,f26,f27,f214,f222,f223,f224,f226,f53,f485,f488,f499,f635,f506,f502,f497,f484,f23]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c1),multiply(sk_c6,X0))
| spl0_5 ),
inference(superposition,[],[f53,f226]) ).
fof(f502,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| spl0_5 ),
inference(superposition,[],[f53,f224]) ).
fof(f506,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| spl0_5 ),
inference(superposition,[],[f53,f222]) ).
fof(f635,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_5 ),
inference(subsumption_resolution,[],[f29,f222]) ).
fof(f226,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| spl0_5 ),
inference(superposition,[],[f3,f224]) ).
fof(f224,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_5 ),
inference(subsumption_resolution,[],[f12,f214]) ).
fof(f222,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_5 ),
inference(subsumption_resolution,[],[f7,f214]) ).
fof(f214,plain,
( sk_c6 != inverse(sk_c4)
| spl0_5 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f665,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f658,f213,f209,f35,f663,f663,f663,f663]) ).
fof(f658,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f657,f585]) ).
fof(f585,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f584,f1]) ).
fof(f584,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f566,f323]) ).
fof(f323,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f317,f217]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f316,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f3,f312]) ).
fof(f312,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f311,f217]) ).
fof(f311,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f309,f226]) ).
fof(f309,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c1,multiply(sk_c7,identity))
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f226,f292]) ).
fof(f292,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f235,f217]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f223,f227]) ).
fof(f227,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f225,f222]) ).
fof(f225,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f56,f224]) ).
fof(f566,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f231,f546]) ).
fof(f546,plain,
( identity = sk_c6
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f545,f2]) ).
fof(f545,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f506,f227]) ).
fof(f231,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f230,f227]) ).
fof(f657,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f656,f321]) ).
fof(f321,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f317,f232]) ).
fof(f232,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f219,f231]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f218,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f217]) ).
fof(f656,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f655,f585]) ).
fof(f655,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f654,f585]) ).
fof(f654,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f653,f321]) ).
fof(f653,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f652,f585]) ).
fof(f652,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f651,f227]) ).
fof(f651,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f650,f585]) ).
fof(f650,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c7)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f649,f321]) ).
fof(f649,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f648,f585]) ).
fof(f648,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f647,f227]) ).
fof(f647,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f646,f585]) ).
fof(f646,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != multiply(X4,sk_c7)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f645,f321]) ).
fof(f645,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(subsumption_resolution,[],[f644,f321]) ).
fof(f644,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c6
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f643,f227]) ).
fof(f643,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != sk_c5
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f642,f232]) ).
fof(f642,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f641,f585]) ).
fof(f641,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f640,f321]) ).
fof(f640,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f639,f585]) ).
fof(f639,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f638,f321]) ).
fof(f638,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f637,f585]) ).
fof(f637,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X6)
| identity != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f636,f321]) ).
fof(f636,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f635,f585]) ).
fof(f216,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f213,f209]) ).
fof(f202,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f152,f35,f31,f200,f200,f200,f200]) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f35,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:54:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20741)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (20746)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (20744)WARNING: value z3 for option sas not known
% 0.20/0.38 % (20742)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (20743)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (20745)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (20744)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (20747)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (20748)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.41 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.45 % (20744)First to succeed.
% 0.20/0.46 TRYING [6]
% 0.20/0.47 % (20744)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20741"
% 0.20/0.47 % (20744)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (20744)------------------------------
% 0.20/0.48 % (20744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48 % (20744)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (20744)Memory used [KB]: 1526
% 0.20/0.48 % (20744)Time elapsed: 0.090 s
% 0.20/0.48 % (20744)Instructions burned: 149 (million)
% 0.20/0.48 % (20741)Success in time 0.113 s
%------------------------------------------------------------------------------