TSTP Solution File: GRP376-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP376-1 : 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 : n022.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 06:07:07 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 43
% Syntax : Number of formulae : 690 ( 112 unt; 0 def)
% Number of atoms : 2259 ( 978 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2907 (1338 ~;1560 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 462 ( 462 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2632,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f306,f377,f966,f1039,f1169,f1171,f1930,f1957,f1962,f1967,f1971,f1975,f1977,f1979,f1981,f1990,f1996,f2002,f2166,f2263,f2502,f2529,f2566,f2568,f2570,f2572,f2580,f2584,f2588,f2590,f2592,f2594,f2596,f2598,f2601,f2604,f2606,f2608,f2610,f2612,f2615,f2618,f2621,f2623,f2625,f2627,f2629,f2631]) ).
fof(f2631,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f2630,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1109,f1110,f1115,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974,f999,f1114,f1159,f1106,f1037]) ).
fof(f1037,plain,
( identity != sk_c5
| spl0_7 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl0_7
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1106,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f999,f1037]) ).
fof(f1159,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f1158,f1112]) ).
fof(f1158,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f981,f1037]) ).
fof(f1114,plain,
( sk_c2 = inverse(sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f740,f1106]) ).
fof(f999,plain,
( identity = sk_c5
| sk_c5 = inverse(sk_c2)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f29,f326]) ).
fof(f974,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c5
| identity != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,identity)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f973]) ).
fof(f981,plain,
( identity = sk_c5
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f24,f326]) ).
fof(f983,plain,
( identity = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f19,f326]) ).
fof(f31,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f2602,plain,
( identity = sk_c5
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f9,f326]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f2582,plain,
( identity = sk_c5
| ~ spl0_1
| spl0_3 ),
inference(forward_demodulation,[],[f2581,f326]) ).
fof(f2581,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| spl0_3 ),
inference(subsumption_resolution,[],[f14,f371]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f336,f58]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f58,f336]) ).
fof(f899,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f719,f38]) ).
fof(f953,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f923,f228]) ).
fof(f923,plain,
( ! [X0] : multiply(sk_c7,multiply(inverse(inverse(sk_c6)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f719,f336]) ).
fof(f958,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f930,f228]) ).
fof(f930,plain,
( ! [X0] : multiply(sk_c7,multiply(inverse(inverse(sk_c6)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f336,f719]) ).
fof(f2198,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f420,f1]) ).
fof(f420,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f407]) ).
fof(f1526,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1452,f38]) ).
fof(f1600,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1525,f38]) ).
fof(f1657,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1368,f38]) ).
fof(f1665,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1368,f336]) ).
fof(f1520,plain,
( sk_c7 = multiply(identity,inverse(sk_c6))
| ~ spl0_1 ),
inference(superposition,[],[f1452,f407]) ).
fof(f1648,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1611,f1525]) ).
fof(f1611,plain,
( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,inverse(X0)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1525,f336]) ).
fof(f2171,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1543,f718]) ).
fof(f1543,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1503,f688]) ).
fof(f1503,plain,
( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1452,f327]) ).
fof(f1857,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1804,f217]) ).
fof(f1804,plain,
( inverse(sk_c6) = multiply(inverse(identity),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f1456,f407]) ).
fof(f1539,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1498,f1452]) ).
fof(f1498,plain,
( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1452,f336]) ).
fof(f2175,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1457,f718]) ).
fof(f1457,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1393,f688]) ).
fof(f1393,plain,
( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1364,f326]) ).
fof(f2174,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1460,f718]) ).
fof(f1460,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1459,f740]) ).
fof(f1459,plain,
( multiply(sk_c7,identity) = inverse(inverse(inverse(sk_c6)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1394,f688]) ).
fof(f1394,plain,
( inverse(inverse(inverse(sk_c6))) = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1364,f334]) ).
fof(f2170,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1735,f718]) ).
fof(f1735,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1677,f688]) ).
fof(f1677,plain,
( inverse(sk_c6) = multiply(sk_c7,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1368,f334]) ).
fof(f2030,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1387,f1452]) ).
fof(f1387,plain,
( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f1364,f325]) ).
fof(f823,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f740,f38]) ).
fof(f2193,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f747,f718]) ).
fof(f747,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f718,f336]) ).
fof(f2192,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f762,f718]) ).
fof(f762,plain,
( multiply(sk_c7,identity) = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f336,f718]) ).
fof(f752,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f327,f718]) ).
fof(f737,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f718,f327]) ).
fof(f2574,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_3 ),
inference(subsumption_resolution,[],[f16,f371]) ).
fof(f2573,plain,
( sk_c7 = inverse(sk_c3)
| spl0_3 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f15,f371,f2531,f10]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f2531,plain,
( sk_c7 = inverse(sk_c3)
| spl0_3 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f10,f371,f15]) ).
fof(f371,plain,
( sk_c7 != inverse(sk_c1)
| spl0_3 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f1242,plain,
( ! [X0] : identity = multiply(X0,multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6)))))
| ~ spl0_1 ),
inference(superposition,[],[f858,f336]) ).
fof(f1401,plain,
( ! [X0] : inverse(X0) = multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6))))
| ~ spl0_1 ),
inference(superposition,[],[f1364,f336]) ).
fof(f1408,plain,
( ! [X0] : inverse(X0) = multiply(sk_c7,inverse(multiply(X0,inverse(sk_c6))))
| ~ spl0_1 ),
inference(superposition,[],[f336,f1364]) ).
fof(f1682,plain,
( ! [X0] : multiply(sk_c7,inverse(multiply(inverse(X0),inverse(sk_c6)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1368,f336]) ).
fof(f1691,plain,
( ! [X0] : multiply(sk_c7,inverse(multiply(inverse(X0),inverse(sk_c6)))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f336,f1368]) ).
fof(f1780,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c7,X0)),inverse(sk_c6))
| ~ spl0_1 ),
inference(superposition,[],[f1456,f336]) ).
fof(f1881,plain,
( ! [X0] : multiply(inverse(multiply(sk_c7,inverse(X0))),inverse(sk_c6)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1734,f336]) ).
fof(f1409,plain,
( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c6,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f325,f1364]) ).
fof(f1511,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1452,f325]) ).
fof(f1692,plain,
( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f325,f1368]) ).
fof(f1794,plain,
( ! [X0] : inverse(multiply(sk_c7,X0)) = multiply(inverse(X0),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f1456,f325]) ).
fof(f1867,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c6)),X0)
| ~ spl0_1 ),
inference(superposition,[],[f1734,f38]) ).
fof(f1897,plain,
! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f1525,f1734]) ).
fof(f1895,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
inference(superposition,[],[f3,f1734]) ).
fof(f1891,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1452,f1734]) ).
fof(f1885,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
inference(superposition,[],[f1734,f3]) ).
fof(f1734,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1675,f740]) ).
fof(f1675,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f1368,f1364]) ).
fof(f1817,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1525,f1456]) ).
fof(f1815,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
inference(superposition,[],[f3,f1456]) ).
fof(f1811,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1452,f1456]) ).
fof(f1796,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1456,f719]) ).
fof(f1795,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1456,f58]) ).
fof(f1784,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
inference(superposition,[],[f1456,f3]) ).
fof(f1456,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1392,f740]) ).
fof(f1392,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1364,f1364]) ).
fof(f1703,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f1368]) ).
fof(f1702,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f719,f1368]) ).
fof(f1700,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f1368]) ).
fof(f1699,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f58,f1368]) ).
fof(f1698,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f858,f1368]) ).
fof(f1697,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f1364,f1368]) ).
fof(f1685,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f1368,f3]) ).
fof(f1676,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f1368,f1368]) ).
fof(f1368,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1272,f718]) ).
fof(f1272,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f719,f858]) ).
fof(f1621,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1525]) ).
fof(f1620,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f58,f1525]) ).
fof(f1619,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f858,f1525]) ).
fof(f1618,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1364,f1525]) ).
fof(f1615,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1525,f3]) ).
fof(f1525,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1452,f740]) ).
fof(f1535,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1452]) ).
fof(f1534,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f58,f1452]) ).
fof(f1533,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f858,f1452]) ).
fof(f1532,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1364,f1452]) ).
fof(f1513,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1452,f719]) ).
fof(f1501,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1452,f3]) ).
fof(f1452,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1388,f740]) ).
fof(f1388,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1364,f58]) ).
fof(f1418,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1364]) ).
fof(f1417,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f719,f1364]) ).
fof(f1415,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1364]) ).
fof(f1414,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f58,f1364]) ).
fof(f1492,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1413,f740]) ).
fof(f1413,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f858,f1364]) ).
fof(f1404,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1364,f3]) ).
fof(f1389,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1364,f719]) ).
fof(f1377,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1364,f3]) ).
fof(f1364,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1269,f718]) ).
fof(f1269,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f58,f858]) ).
fof(f1369,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1273,f3]) ).
fof(f1273,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f858]) ).
fof(f1366,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1365,f3]) ).
fof(f1365,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f1270,f1]) ).
fof(f1270,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f858]) ).
fof(f1341,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1256,f3]) ).
fof(f1256,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f858,f3]) ).
fof(f1245,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f858,f3]) ).
fof(f1219,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f858,f3]) ).
fof(f858,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f715,f3]) ).
fof(f1113,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f719,f1106]) ).
fof(f1108,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f58,f1106]) ).
fof(f1133,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f1131,f1]) ).
fof(f1131,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f3,f1112]) ).
fof(f1112,plain,
( identity = multiply(sk_c2,sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f715,f1106]) ).
fof(f1129,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f1127,f1]) ).
fof(f1127,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f3,f1107]) ).
fof(f1107,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f2,f1106]) ).
fof(f1122,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f719,f1114]) ).
fof(f1121,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f715,f1114]) ).
fof(f1125,plain,
( identity = multiply(sk_c2,sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f1120,f740]) ).
fof(f1120,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f639,f1114]) ).
fof(f1117,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f58,f1114]) ).
fof(f1116,plain,
( identity = multiply(sk_c2,sk_c5)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f2,f1114]) ).
fof(f1115,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f1111,f740]) ).
fof(f1111,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c2)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f639,f1106]) ).
fof(f1110,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f228,f1106]) ).
fof(f1109,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f218,f1106]) ).
fof(f688,plain,
identity = inverse(identity),
inference(superposition,[],[f639,f218]) ).
fof(f32,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f33,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f691,plain,
identity = inverse(identity),
inference(superposition,[],[f218,f639]) ).
fof(f744,plain,
identity = inverse(identity),
inference(superposition,[],[f718,f2]) ).
fof(f745,plain,
identity = inverse(identity),
inference(superposition,[],[f718,f217]) ).
fof(f976,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f746,f740]) ).
fof(f746,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f718,f639]) ).
fof(f759,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f718]) ).
fof(f760,plain,
identity = inverse(identity),
inference(superposition,[],[f217,f718]) ).
fof(f975,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f761,f740]) ).
fof(f761,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f639,f718]) ).
fof(f973,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c5
| sk_c5 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f804,f326]) ).
fof(f804,plain,
( ! [X3,X6,X4,X5] :
( sk_c5 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f34,f38]) ).
fof(f852,plain,
identity = inverse(identity),
inference(superposition,[],[f715,f1]) ).
fof(f859,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f715]) ).
fof(f940,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f719]) ).
fof(f927,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f719,f3]) ).
fof(f719,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f228,f58]) ).
fof(f872,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f715]) ).
fof(f895,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f870,f1]) ).
fof(f870,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f715]) ).
fof(f715,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f228,f2]) ).
fof(f839,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f740]) ).
fof(f838,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f58,f740]) ).
fof(f740,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f718,f218]) ).
fof(f803,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f772,f718]) ).
fof(f772,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f228,f718]) ).
fof(f755,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f218,f718]) ).
fof(f788,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f750,f718]) ).
fof(f750,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f718,f228]) ).
fof(f718,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f228,f218]) ).
fof(f729,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f58,f228]) ).
fof(f728,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f218,f228]) ).
fof(f724,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f58,f228]) ).
fof(f723,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f228]) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f58,f58]) ).
fof(f707,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f690,f1]) ).
fof(f690,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f639]) ).
fof(f689,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f58,f639]) ).
fof(f639,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f58,f218]) ).
fof(f649,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f640,f1]) ).
fof(f640,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f218]) ).
fof(f218,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f58,f2]) ).
fof(f418,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1 ),
inference(superposition,[],[f325,f407]) ).
fof(f421,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f419,f38]) ).
fof(f419,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f58,f407]) ).
fof(f407,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f336,f2]) ).
fof(f412,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f58,f336]) ).
fof(f411,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f2,f336]) ).
fof(f336,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f335,f1]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f327]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f366,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f58,f217]) ).
fof(f217,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f58,f1]) ).
fof(f352,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f351,f1]) ).
fof(f351,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f334]) ).
fof(f350,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f58,f334]) ).
fof(f334,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f58,f327]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(superposition,[],[f58,f325]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f58,f38]) ).
fof(f327,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f58,f326]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f328,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f326]) ).
fof(f326,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_1
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f4,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f8,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
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(f14,axiom,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
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(f29,axiom,
( sk_c5 = inverse(sk_c2)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| inverse(sk_c7) != sk_c6
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f220,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f58,f3]) ).
fof(f58,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
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(f2629,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2628,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1109,f1110,f1115,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974,f999,f1114,f1159,f1106]) ).
fof(f2627,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2626,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974,f999,f1114,f1159]) ).
fof(f2625,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2624]) ).
fof(f2624,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974,f999,f1114]) ).
fof(f2623,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2622,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974,f999]) ).
fof(f2621,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2620]) ).
fof(f2620,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(global_subsumption,[],[f2619,f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974]) ).
fof(f2619,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f33,f1011]) ).
fof(f1011,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1005,f327]) ).
fof(f1005,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f218,f376]) ).
fof(f376,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2618,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2617,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(global_subsumption,[],[f2616,f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974]) ).
fof(f2616,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f23,f1011]) ).
fof(f2615,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2614]) ).
fof(f2614,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(global_subsumption,[],[f2613,f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974]) ).
fof(f2613,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f28,f1011]) ).
fof(f2612,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2611,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981,f974]) ).
fof(f2610,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983,f981]) ).
fof(f2608,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
fof(f2607,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31,f983]) ).
fof(f2606,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2605,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602,f31]) ).
fof(f2604,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2603,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21,f2602]) ).
fof(f2601,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2600]) ).
fof(f2600,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(global_subsumption,[],[f2599,f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21]) ).
fof(f2599,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f13,f1011]) ).
fof(f2598,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f2597,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26,f21]) ).
fof(f2596,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2595,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25,f26]) ).
fof(f2594,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2593,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20,f25]) ).
fof(f2592,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2591]) ).
fof(f2591,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f25,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30,f20]) ).
fof(f2590,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2589]) ).
fof(f2589,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582,f30]) ).
fof(f2588,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2587]) ).
fof(f2587,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(global_subsumption,[],[f2586,f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582]) ).
fof(f2586,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2585,f1011]) ).
fof(f2585,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_3 ),
inference(subsumption_resolution,[],[f18,f371]) ).
fof(f2584,plain,
( ~ spl0_1
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f2583]) ).
fof(f2583,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_7 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f688,f1037,f1106,f1109,f1110,f1115,f1114,f1116,f1117,f1125,f1121,f1122,f1107,f1129,f1112,f1133,f1108,f1113,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1867,f1794,f1692,f1511,f1409,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f11,f15,f371,f2531,f10,f2573,f2574,f737,f752,f2192,f2193,f823,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f1665,f1657,f1600,f1526,f2198,f958,f953,f899,f415,f409,f2582]) ).
fof(f2580,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2579,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f376,f1003,f1004,f1012,f1013,f1008,f1009,f1011,f688,f999,f1038,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2014,f1867,f1794,f1692,f1511,f1409,f1199,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f2182,f11,f2189,f2201,f2202,f15,f2203,f371,f2534,f2531,f2180,f2048,f10,f2573,f2574,f2575,f737,f752,f2192,f2193,f823,f2181,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f2023,f1665,f1657,f1635,f1600,f2027,f2188,f2576,f1526,f2198,f2054,f958,f953,f899,f2186,f2577,f415,f409,f2179,f2578,f2257]) ).
fof(f2257,plain,
( sk_c7 != sk_c6
| spl0_8 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2256,plain,
( spl0_8
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2578,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f376,f1003,f1004,f1012,f1013,f1008,f1009,f1011,f688,f999,f1038,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2014,f1867,f1794,f1692,f1511,f1409,f1199,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f2182,f11,f2189,f2201,f2202,f15,f2203,f371,f2534,f2531,f2180,f2048,f10,f2573,f2574,f2575,f737,f752,f2192,f2193,f823,f2181,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f2023,f1665,f1657,f1635,f1600,f2027,f2188,f2576,f1526,f2198,f2054,f958,f953,f899,f2186,f2577,f415,f409,f2179]) ).
fof(f2179,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2178,f1038]) ).
fof(f2178,plain,
( sk_c7 = sk_c6
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1185,f718]) ).
fof(f1185,plain,
( sk_c6 = multiply(sk_c7,identity)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1184,f1011]) ).
fof(f1184,plain,
( sk_c6 = multiply(sk_c4,identity)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f23,f1038]) ).
fof(f2577,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f327,f325,f342,f334,f350,f352,f217,f366,f17,f336,f411,f412,f407,f421,f418,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f981,f23,f983,f33,f27,f22,f32,f376,f1003,f1004,f1012,f1013,f1008,f1009,f1011,f688,f999,f1038,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2014,f1867,f1794,f1692,f1511,f1409,f1199,f1881,f1780,f1691,f1682,f1408,f1401,f1242,f2179,f2182,f11,f2189,f415,f409,f2201,f2202,f15,f2203,f371,f2534,f2531,f2180,f2048,f10,f2573,f2574,f2575,f737,f752,f2192,f2193,f823,f2181,f2030,f2170,f2174,f2175,f1539,f1857,f2171,f1648,f1520,f2023,f1665,f1657,f1635,f1600,f2027,f2188,f2576,f1526,f2198,f2054,f958,f953,f899,f2186]) ).
fof(f2186,plain,
( sk_c7 = sk_c6
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2185,f1011]) ).
fof(f2185,plain,
( sk_c6 = sk_c4
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2184,f718]) ).
fof(f2184,plain,
( sk_c6 = multiply(sk_c4,identity)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f13,f1038]) ).
fof(f2054,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1009,f1011]) ).
fof(f2576,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_3
| ~ spl0_7 ),
inference(global_subsumption,[],[f2188,f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f15,f371,f2531,f10,f2573,f2574]) ).
fof(f2188,plain,
( sk_c7 = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2187,f1]) ).
fof(f2187,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f21,f1038]) ).
fof(f2027,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1529,f1011]) ).
fof(f1529,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c6) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1452,f376]) ).
fof(f1635,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1603,f1011]) ).
fof(f1603,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c4) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1525,f376]) ).
fof(f2023,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1660,f1011]) ).
fof(f1660,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_4 ),
inference(superposition,[],[f1368,f376]) ).
fof(f2181,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1010,f1011]) ).
fof(f1010,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f740,f376]) ).
fof(f2575,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2524,f371]) ).
fof(f2524,plain,
( sk_c7 = sk_c6
| sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2523,f718]) ).
fof(f2523,plain,
( sk_c6 = multiply(sk_c7,identity)
| sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2522,f1011]) ).
fof(f2522,plain,
( sk_c6 = multiply(sk_c4,identity)
| sk_c7 = inverse(sk_c1)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f18,f1038]) ).
fof(f2048,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1190,f1038]) ).
fof(f1190,plain,
( sk_c7 = sk_c6
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1189,f1011]) ).
fof(f1189,plain,
( sk_c6 = sk_c4
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1188,f718]) ).
fof(f1188,plain,
( sk_c6 = multiply(sk_c4,identity)
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f28,f1038]) ).
fof(f2180,plain,
( sk_c7 = sk_c6
| identity = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1179,f718]) ).
fof(f1179,plain,
( sk_c6 = multiply(sk_c7,identity)
| identity = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1178,f1011]) ).
fof(f1178,plain,
( sk_c6 = multiply(sk_c4,identity)
| identity = inverse(sk_c2)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1177,f1038]) ).
fof(f1177,plain,
( identity = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f33,f1038]) ).
fof(f2534,plain,
( sk_c7 = inverse(sk_c3)
| spl0_3
| ~ spl0_7 ),
inference(global_subsumption,[],[f2203,f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f10,f371,f15,f2531]) ).
fof(f2203,plain,
( identity = inverse(sk_c2)
| sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f30,f1038]) ).
fof(f2202,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f20,f1038]) ).
fof(f2201,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f25,f1038]) ).
fof(f2189,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f26,f1038]) ).
fof(f2182,plain,
( identity = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f31,f1038]) ).
fof(f1199,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,identity)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f974,f1038]) ).
fof(f2014,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c6)),X0)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1870,f1011]) ).
fof(f1870,plain,
( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c6)),X0)
| ~ spl0_4 ),
inference(superposition,[],[f1734,f376]) ).
fof(f1038,plain,
( identity = sk_c5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1009,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f719,f376]) ).
fof(f1008,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f715,f376]) ).
fof(f1013,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1007,f740]) ).
fof(f1007,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f639,f376]) ).
fof(f1012,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1006,f336]) ).
fof(f1006,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_4 ),
inference(superposition,[],[f228,f376]) ).
fof(f1004,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f58,f376]) ).
fof(f1003,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f376]) ).
fof(f2572,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2571]) ).
fof(f2571,plain,
( $false
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f1033,f11,f10,f2258,f2525,f15,f2532,f2271,f2262]) ).
fof(f2262,plain,
( identity = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2260,plain,
( spl0_9
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2271,plain,
( identity != sk_c7
| spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f1033,f2258]) ).
fof(f2532,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f10,f2258]) ).
fof(f2525,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f16,f2258]) ).
fof(f2258,plain,
( sk_c7 = sk_c6
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f1033,plain,
( identity != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl0_6
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2570,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2569,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f44,f3,f61,f58,f220,f240,f223,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f330,f327,f331,f339,f325,f340,f342,f333,f348,f334,f350,f352,f337,f353,f356,f345,f358,f217,f366,f17,f336,f411,f412,f407,f421,f418,f424,f423,f428,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f980,f981,f23,f982,f983,f33,f998,f27,f22,f32,f688,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2015,f1868,f1867,f1794,f1793,f2016,f1758,f1693,f1692,f1665,f2024,f1658,f1657,f1631,f1601,f1600,f2028,f1527,f1526,f1511,f1510,f1554,f2029,f1410,f1409,f1033,f2030,f1881,f1857,f1780,f1691,f1682,f2170,f1648,f1520,f2171,f1539,f1408,f1401,f2174,f2175,f1242,f11,f958,f953,f899,f823,f2192,f752,f2193,f737,f2198,f415,f409,f10,f2258,f2275,f2269,f2265,f2414,f2411,f2406,f2364,f2363,f2360,f2359,f2357,f2356,f2355,f2312,f2264,f2307,f2303,f2507,f2508,f2509,f2510,f2511,f2512,f2513,f2514,f2516,f2517,f2518,f2519,f2520,f2525,f2530,f15,f2531,f2532,f2533,f2536,f2537,f2538,f42,f2540,f371,f2542,f2543,f2541,f2548,f2553,f2555,f2556,f2557,f2558,f2564,f2271]) ).
fof(f2564,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2563,f2265]) ).
fof(f2563,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2530,f2540]) ).
fof(f2558,plain,
( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f1734,f2541]) ).
fof(f2557,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f1525,f2541]) ).
fof(f2556,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f1452,f2541]) ).
fof(f2555,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f1368,f2541]) ).
fof(f2553,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f719,f2541]) ).
fof(f2548,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f58,f2541]) ).
fof(f2541,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f42,f2540]) ).
fof(f2543,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2533,f2540]) ).
fof(f2542,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2531,f2540]) ).
fof(f2540,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2539,f2258]) ).
fof(f2539,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f825,f38]) ).
fof(f825,plain,
( inverse(sk_c7) = sk_c3
| ~ spl0_2 ),
inference(superposition,[],[f740,f42]) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2538,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f423,f2258]) ).
fof(f2537,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f428,f2258]) ).
fof(f2536,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2535,f2258]) ).
fof(f2535,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1466,f38]) ).
fof(f1466,plain,
( inverse(sk_c7) = sk_c3
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1465,f718]) ).
fof(f1465,plain,
( inverse(sk_c7) = multiply(sk_c3,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1396,f688]) ).
fof(f1396,plain,
( inverse(sk_c7) = multiply(sk_c3,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1364,f44]) ).
fof(f2533,plain,
( sk_c7 = inverse(sk_c3)
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f2532,f30,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f10,f371,f15,f2531]) ).
fof(f2530,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f30,f15,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f10,f2258,f371,f2525]) ).
fof(f2520,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f737,f2258]) ).
fof(f2519,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f752,f2258]) ).
fof(f2518,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2192,f2258]) ).
fof(f2517,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2193,f2258]) ).
fof(f2516,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f823,f2258]) ).
fof(f2514,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2030,f2258]) ).
fof(f2513,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2170,f2258]) ).
fof(f2512,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2174,f2258]) ).
fof(f2511,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2175,f2258]) ).
fof(f2510,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1539,f2258]) ).
fof(f2509,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1857,f2258]) ).
fof(f2508,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2171,f2258]) ).
fof(f2507,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1648,f2258]) ).
fof(f2303,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2296,f217]) ).
fof(f2296,plain,
( inverse(sk_c7) = multiply(inverse(identity),sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f1456,f2265]) ).
fof(f2307,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2306,f718]) ).
fof(f2306,plain,
( inverse(sk_c7) = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2298,f688]) ).
fof(f2298,plain,
( inverse(sk_c7) = multiply(sk_c7,inverse(identity))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f1364,f2265]) ).
fof(f2264,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f325,f2258]) ).
fof(f2312,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2301,f1]) ).
fof(f2301,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f3,f2265]) ).
fof(f2355,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f409,f2258]) ).
fof(f2356,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f415,f2258]) ).
fof(f2357,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f899,f2258]) ).
fof(f2359,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f953,f2258]) ).
fof(f2360,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f958,f2258]) ).
fof(f2363,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2198,f2258]) ).
fof(f2364,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c7) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1526,f2258]) ).
fof(f2406,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c7) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1600,f2258]) ).
fof(f2411,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1657,f2258]) ).
fof(f2414,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1665,f2258]) ).
fof(f2265,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f326,f2258]) ).
fof(f2269,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f407,f2258]) ).
fof(f2275,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2267,f740]) ).
fof(f2267,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f334,f2258]) ).
fof(f1410,plain,
( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f345,f1364]) ).
fof(f2029,plain,
( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c7,inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1412,f423]) ).
fof(f1412,plain,
( ! [X0] : inverse(multiply(X0,sk_c3)) = multiply(sk_c7,inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f61,f1364]) ).
fof(f1554,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1509,f333]) ).
fof(f1509,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1452,f61]) ).
fof(f1510,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1452,f345]) ).
fof(f1527,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1452,f428]) ).
fof(f2028,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c7) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1528,f423]) ).
fof(f1528,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c7) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1452,f42]) ).
fof(f1601,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1525,f428]) ).
fof(f1631,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c6) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1602,f423]) ).
fof(f1602,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c3) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1525,f42]) ).
fof(f1658,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1368,f428]) ).
fof(f2024,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1659,f423]) ).
fof(f1659,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c7,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1368,f42]) ).
fof(f1693,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c6))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f345,f1368]) ).
fof(f1758,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c6))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1695,f423]) ).
fof(f1695,plain,
( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c3))
| ~ spl0_2 ),
inference(superposition,[],[f61,f1368]) ).
fof(f2016,plain,
( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1792,f333]) ).
fof(f1792,plain,
( ! [X0] : inverse(multiply(sk_c3,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f1456,f61]) ).
fof(f1793,plain,
( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c7)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1456,f345]) ).
fof(f1868,plain,
( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1734,f428]) ).
fof(f2015,plain,
( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1869,f423]) ).
fof(f1869,plain,
( ! [X0] : sk_c3 = multiply(inverse(multiply(X0,sk_c7)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f1734,f42]) ).
fof(f998,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f31,f423]) ).
fof(f982,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f21,f423]) ).
fof(f980,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f26,f333]) ).
fof(f428,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f42,f423]) ).
fof(f423,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f418,f330]) ).
fof(f424,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f330,f418]) ).
fof(f358,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f345,f326]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f333]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c6)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f355,f333]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c6)),X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(sk_c6)),multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f337]) ).
fof(f353,plain,
( identity = multiply(inverse(inverse(inverse(sk_c6))),sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f58,f337]) ).
fof(f337,plain,
( sk_c3 = multiply(inverse(inverse(sk_c6)),identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f58,f331]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f346,f42]) ).
fof(f346,plain,
( ! [X0] : multiply(inverse(sk_c3),multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f58,f333]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f332,f1]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f330]) ).
fof(f340,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f325,f61]) ).
fof(f339,plain,
( ! [X0] : multiply(inverse(sk_c6),multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c6),multiply(sk_c3,X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f331]) ).
fof(f331,plain,
( identity = multiply(inverse(sk_c6),sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f58,f330]) ).
fof(f330,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f240,f38]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(superposition,[],[f58,f61]) ).
fof(f240,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_2 ),
inference(superposition,[],[f58,f44]) ).
fof(f61,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f44]) ).
fof(f44,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2 ),
inference(superposition,[],[f2,f42]) ).
fof(f2568,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2567]) ).
fof(f2567,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_8 ),
inference(global_subsumption,[],[f30,f25,f20,f1,f2,f5,f44,f3,f61,f58,f220,f240,f223,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f38,f326,f329,f330,f327,f331,f339,f325,f340,f342,f333,f348,f334,f350,f352,f337,f353,f356,f345,f358,f217,f366,f17,f336,f411,f412,f407,f421,f418,f424,f423,f428,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f973,f974,f975,f760,f759,f976,f745,f744,f691,f28,f980,f981,f23,f982,f983,f33,f998,f27,f22,f32,f688,f999,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2015,f1868,f1867,f1794,f1793,f2016,f1758,f1693,f1692,f1665,f2024,f1658,f1657,f1631,f1601,f1600,f2028,f1527,f1526,f1511,f1510,f1554,f2029,f1410,f1409,f1033,f2030,f1881,f1857,f1780,f1691,f1682,f2170,f1648,f1520,f2171,f1539,f1408,f1401,f2174,f2175,f1242,f11,f958,f953,f899,f823,f2192,f752,f2193,f737,f2198,f415,f409,f10,f2258,f2275,f2269,f2271,f2265,f2414,f2411,f2406,f2364,f2363,f2360,f2359,f2357,f2356,f2355,f2312,f2264,f2307,f2303,f2507,f2508,f2509,f2510,f2511,f2512,f2513,f2514,f2516,f2517,f2518,f2519,f2520,f2525,f2530,f15,f2531,f2532,f2533,f2536,f2537,f2538,f42,f2540,f371,f2542,f2543,f2541,f2548,f2553,f2555,f2556,f2557,f2558,f2564]) ).
fof(f2566,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2565]) ).
fof(f2565,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f2564,f2261]) ).
fof(f2261,plain,
( identity != sk_c7
| spl0_9 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2529,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
fof(f2528,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f30,f15,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f11,f10,f41,f2521,f371]) ).
fof(f2521,plain,
( sk_c7 = inverse(sk_c1)
| spl0_2 ),
inference(subsumption_resolution,[],[f15,f41]) ).
fof(f41,plain,
( sk_c7 != inverse(sk_c3)
| spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f2502,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f2501]) ).
fof(f2501,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| spl0_6 ),
inference(subsumption_resolution,[],[f2500,f1033]) ).
fof(f2500,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2499,f326]) ).
fof(f2499,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2498,f2199]) ).
fof(f2199,plain,
( sk_c6 = sk_c1
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f384,f418]) ).
fof(f384,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f381,f38]) ).
fof(f381,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_3 ),
inference(superposition,[],[f58,f379]) ).
fof(f379,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_3 ),
inference(superposition,[],[f2,f372]) ).
fof(f372,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f2498,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_2 ),
inference(subsumption_resolution,[],[f10,f41]) ).
fof(f2263,plain,
( spl0_8
| spl0_9
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2247,f1036,f374,f40,f36,f2260,f2256]) ).
fof(f2247,plain,
( identity = sk_c7
| sk_c7 = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2246,f1]) ).
fof(f2246,plain,
( sk_c7 = multiply(identity,identity)
| sk_c7 = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2048,f2235]) ).
fof(f2235,plain,
( identity = sk_c2
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2225,f2]) ).
fof(f2225,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f218,f2222]) ).
fof(f2222,plain,
( identity = inverse(sk_c2)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(global_subsumption,[],[f2180,f30,f15,f25,f20,f1,f2,f5,f3,f58,f220,f34,f26,f24,f21,f19,f13,f9,f31,f29,f18,f16,f14,f12,f8,f6,f4,f7,f217,f366,f17,f218,f649,f639,f689,f707,f228,f723,f724,f728,f729,f718,f788,f755,f803,f740,f838,f839,f715,f895,f872,f719,f927,f940,f859,f852,f975,f760,f759,f976,f745,f744,f691,f28,f23,f33,f27,f22,f32,f688,f1038,f858,f1219,f1245,f1341,f1366,f1369,f1364,f1377,f1389,f1404,f1492,f1414,f1415,f1417,f1418,f1452,f1501,f1513,f1532,f1533,f1534,f1535,f1525,f1615,f1618,f1619,f1620,f1621,f1368,f1676,f1685,f1697,f1698,f1699,f1700,f1702,f1703,f1456,f1784,f1795,f1796,f1811,f1815,f1817,f1734,f1885,f1891,f1895,f1897,f2182,f11,f2188,f2189,f2201,f2202,f10,f2203,f41]) ).
fof(f2166,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2165,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2164,f2068]) ).
fof(f2068,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1033,f2055]) ).
fof(f2055,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2053,f1033]) ).
fof(f2053,plain,
( sk_c7 = sk_c6
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2052,f358]) ).
fof(f2052,plain,
( sk_c6 = multiply(sk_c7,identity)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2051,f1011]) ).
fof(f2051,plain,
( sk_c6 = multiply(sk_c4,identity)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f986,f1038]) ).
fof(f986,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f985,f326]) ).
fof(f985,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f984,f333]) ).
fof(f984,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f13,f385]) ).
fof(f385,plain,
( sk_c3 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f384,f330]) ).
fof(f2164,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2163,f2057]) ).
fof(f2057,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f326,f2055]) ).
fof(f2163,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2162,f2055]) ).
fof(f2162,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(subsumption_resolution,[],[f990,f1033]) ).
fof(f990,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f989,f423]) ).
fof(f989,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f988,f326]) ).
fof(f988,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f987,f333]) ).
fof(f987,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f11,f385]) ).
fof(f2002,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f2001]) ).
fof(f2001,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f2000,f688]) ).
fof(f2000,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1999,f1034]) ).
fof(f1034,plain,
( identity = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1999,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1998,f423]) ).
fof(f1998,plain,
( identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1997,f1]) ).
fof(f1997,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1945,f1034]) ).
fof(f1945,plain,
( identity != multiply(sk_c6,identity)
| identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f965,f333]) ).
fof(f965,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f964,plain,
( spl0_5
<=> ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1996,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f1995,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1994,f688]) ).
fof(f1994,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1993,f1052]) ).
fof(f1052,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1042,f2]) ).
fof(f1042,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f327,f1034]) ).
fof(f1993,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1992,f428]) ).
fof(f1992,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1991,f1052]) ).
fof(f1991,plain,
( identity != sk_c7
| identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1944,f358]) ).
fof(f1944,plain,
( identity != multiply(sk_c7,identity)
| identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f965,f336]) ).
fof(f1990,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1989,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1988,f740]) ).
fof(f1988,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1949,f740]) ).
fof(f1949,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1943]) ).
fof(f1943,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(superposition,[],[f965,f639]) ).
fof(f1981,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f1980,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1950,f740]) ).
fof(f1950,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1940]) ).
fof(f1940,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f965,f217]) ).
fof(f1979,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1978,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1951,f740]) ).
fof(f1951,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1939]) ).
fof(f1939,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f965,f2]) ).
fof(f1977,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1976,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1952,f688]) ).
fof(f1952,plain,
( identity != inverse(identity)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1938]) ).
fof(f1938,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f965,f1]) ).
fof(f1975,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1974]) ).
fof(f1974,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1973,f688]) ).
fof(f1973,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1972,f1034]) ).
fof(f1972,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1937,f1053]) ).
fof(f1053,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1043,f1]) ).
fof(f1043,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f330,f1034]) ).
fof(f1937,plain,
( identity != sk_c3
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f965,f330]) ).
fof(f1971,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1970,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1969,f688]) ).
fof(f1969,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1968,f1034]) ).
fof(f1968,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1936,f1034]) ).
fof(f1936,plain,
( identity != sk_c6
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f965,f418]) ).
fof(f1967,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1966]) ).
fof(f1966,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1965,f688]) ).
fof(f1965,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1964,f1052]) ).
fof(f1964,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1935,f1052]) ).
fof(f1935,plain,
( identity != sk_c7
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f965,f358]) ).
fof(f1962,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1960,f688]) ).
fof(f1960,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1959,f1034]) ).
fof(f1959,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1958,f740]) ).
fof(f1958,plain,
( identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1933,f1053]) ).
fof(f1933,plain,
( identity != sk_c3
| identity != inverse(inverse(inverse(sk_c6)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f965,f337]) ).
fof(f1957,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1956,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1955,f688]) ).
fof(f1955,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1954,f1052]) ).
fof(f1954,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1953,f428]) ).
fof(f1953,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1932,f1052]) ).
fof(f1932,plain,
( identity != sk_c7
| identity != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f965,f327]) ).
fof(f1930,plain,
( spl0_5
| spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1211,f1036,f1032,f36,f964,f964,f964,f964]) ).
fof(f1211,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1210,f1052]) ).
fof(f1210,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1209,f1034]) ).
fof(f1209,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1208,f1052]) ).
fof(f1208,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1207,f1052]) ).
fof(f1207,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1206,f1]) ).
fof(f1206,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(identity,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1205,f1034]) ).
fof(f1205,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1204,f1034]) ).
fof(f1204,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1203,f1052]) ).
fof(f1203,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1202,f1034]) ).
fof(f1202,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c6 != multiply(X6,identity)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1201,f1052]) ).
fof(f1201,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,identity)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1200,f1052]) ).
fof(f1200,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,identity)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(identity,sk_c6)
| sk_c7 != multiply(X4,identity)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1199,f1034]) ).
fof(f1171,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1170,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1164,f1037]) ).
fof(f1164,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f718,f1162]) ).
fof(f1162,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1161,f1052]) ).
fof(f1161,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f1160,f1034]) ).
fof(f1160,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f983,f1037]) ).
fof(f1169,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f1163,f1037]) ).
fof(f1163,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f1162,f718]) ).
fof(f1039,plain,
( spl0_6
| spl0_7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f994,f370,f40,f36,f1036,f1032]) ).
fof(f994,plain,
( identity = sk_c5
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f993,f326]) ).
fof(f993,plain,
( identity = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f992,f326]) ).
fof(f992,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f991,f423]) ).
fof(f991,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f9,f385]) ).
fof(f966,plain,
( spl0_5
| spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f821,f374,f370,f40,f36,f964,f964,f964,f964]) ).
fof(f821,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f820,f326]) ).
fof(f820,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(sk_c6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f819,f554]) ).
fof(f554,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f553,f448]) ).
fof(f448,plain,
( sk_c5 = multiply(sk_c5,identity)
| spl0_4 ),
inference(superposition,[],[f390,f439]) ).
fof(f439,plain,
( identity = multiply(sk_c2,sk_c5)
| spl0_4 ),
inference(superposition,[],[f397,f2]) ).
fof(f397,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c5),X0)
| spl0_4 ),
inference(forward_demodulation,[],[f396,f1]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| spl0_4 ),
inference(superposition,[],[f3,f392]) ).
fof(f392,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| spl0_4 ),
inference(superposition,[],[f58,f391]) ).
fof(f391,plain,
( identity = multiply(sk_c5,sk_c2)
| spl0_4 ),
inference(superposition,[],[f2,f389]) ).
fof(f389,plain,
( sk_c5 = inverse(sk_c2)
| spl0_4 ),
inference(subsumption_resolution,[],[f32,f375]) ).
fof(f375,plain,
( sk_c6 != inverse(sk_c4)
| spl0_4 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| spl0_4 ),
inference(superposition,[],[f58,f389]) ).
fof(f553,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f552,f488]) ).
fof(f488,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f478,f2]) ).
fof(f478,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f327,f475]) ).
fof(f475,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f474,f326]) ).
fof(f474,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f473,f423]) ).
fof(f473,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f472,f385]) ).
fof(f472,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_4 ),
inference(subsumption_resolution,[],[f12,f375]) ).
fof(f552,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f551,f475]) ).
fof(f551,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl0_4 ),
inference(subsumption_resolution,[],[f22,f375]) ).
fof(f819,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f818,f488]) ).
fof(f818,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f817,f475]) ).
fof(f817,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f816,f488]) ).
fof(f816,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f815,f554]) ).
fof(f815,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f814,f488]) ).
fof(f814,plain,
( ! [X3,X6,X4,X5] :
( identity != sk_c7
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f813,f553]) ).
fof(f813,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c5,identity)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f812,f475]) ).
fof(f812,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f811,f475]) ).
fof(f811,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f810,f488]) ).
fof(f810,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f809,f475]) ).
fof(f809,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f808,f554]) ).
fof(f808,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f807,f488]) ).
fof(f807,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f806,f488]) ).
fof(f806,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f805,f475]) ).
fof(f805,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f804,f554]) ).
fof(f377,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f374,f370]) ).
fof(f306,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f304,f110]) ).
fof(f110,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f106,f48]) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f37]) ).
fof(f37,plain,
( inverse(sk_c7) != sk_c6
| spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f106,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f89,f105]) ).
fof(f105,plain,
( sk_c6 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f104,f89]) ).
fof(f104,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f85,f92]) ).
fof(f92,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f89]) ).
fof(f85,plain,
( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c6)
| spl0_1 ),
inference(superposition,[],[f54,f67]) ).
fof(f67,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_1 ),
inference(superposition,[],[f62,f49]) ).
fof(f49,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f8,f37]) ).
fof(f62,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f57,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f46]) ).
fof(f46,plain,
( identity = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
( sk_c6 = inverse(sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f37]) ).
fof(f54,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f48]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f84,f63]) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f48]) ).
fof(f84,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| spl0_1 ),
inference(superposition,[],[f54,f47]) ).
fof(f47,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| spl0_1 ),
inference(subsumption_resolution,[],[f4,f37]) ).
fof(f304,plain,
( sk_c7 != sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f289,f165]) ).
fof(f165,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f42,f152]) ).
fof(f152,plain,
( identity = sk_c3
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f147,f44]) ).
fof(f147,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f136]) ).
fof(f136,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f96,f111]) ).
fof(f111,plain,
( identity = multiply(sk_c7,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f46,f110]) ).
fof(f96,plain,
( identity = multiply(sk_c7,multiply(sk_c7,sk_c4))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f61,f86]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
| spl0_1 ),
inference(superposition,[],[f54,f46]) ).
fof(f289,plain,
( sk_c6 != inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f263]) ).
fof(f263,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f231,f105]) ).
fof(f231,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| spl0_1 ),
inference(superposition,[],[f58,f47]) ).
fof(f43,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f40,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:42:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (21361)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (21366)WARNING: value z3 for option sas not known
% 0.14/0.36 % (21367)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (21365)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (21364)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (21368)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (21366)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (21370)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (21369)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.20/0.42 % (21366)First to succeed.
% 0.20/0.43 TRYING [6]
% 0.20/0.43 % (21366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21361"
% 0.20/0.43 % (21366)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (21366)------------------------------
% 0.20/0.44 % (21366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (21366)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (21366)Memory used [KB]: 1631
% 0.20/0.44 % (21366)Time elapsed: 0.069 s
% 0.20/0.44 % (21366)Instructions burned: 129 (million)
% 0.20/0.44 % (21361)Success in time 0.089 s
%------------------------------------------------------------------------------