TSTP Solution File: GRP238-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 21:17:41 EDT 2024
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 73
% Syntax : Number of formulae : 1023 ( 85 unt; 0 def)
% Number of atoms : 3236 (1484 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 4087 (1874 ~;2204 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 603 ( 603 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5385,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f628,f689,f1975,f2057,f2061,f4273,f4450,f4574,f4578,f4699,f4916,f4918,f4920,f4922,f4924,f4926,f4928,f4930,f4933,f4937,f4941,f4945,f4950,f4954,f4958,f4962,f4966,f4968,f4970,f4972,f4974,f4976,f4978,f4981,f4983,f4985,f5258,f5263,f5265,f5286,f5288,f5290,f5292,f5295,f5298,f5300,f5303,f5306,f5308,f5311,f5313,f5316,f5318,f5321,f5354,f5358,f5361,f5364,f5366,f5368,f5370,f5373,f5379]) ).
fof(f5379,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5378]) ).
fof(f5378,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5377,f5053]) ).
fof(f5053,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2062,f4987]) ).
fof(f4987,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(global_subsumption,[],[f4979,f1,f2,f5,f77,f3,f106,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f71,f658,f661,f483,f664,f659,f657,f668,f662,f665,f674,f676,f448,f678,f17,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f667,f767,f768,f763,f777,f774,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1897,f1886,f1885,f1823,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1744,f1740,f1731,f1729,f1980,f1981,f1685,f1674,f1673,f1527,f1988,f1520,f1990,f1991,f1517,f1511,f1632,f1629,f1995,f1480,f1999,f2001,f48,f2007,f38,f2008,f58,f47,f37,f57,f2018,f54,f55,f1689,f1875,f1790,f1876,f1040,f1690,f2071,f2064,f2072,f2070,f2077,f2078,f2083,f2062,f2085,f2086,f2094,f2098,f2091,f2092,f2093,f2100,f2099,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2393,f2396,f2310,f2548,f2558,f2526,f2543,f2546,f2367,f2703,f2694,f2741,f2742,f2385,f2775,f2767,f2776,f2778,f2772,f2513,f2974,f2993,f2983,f3032,f2535,f3080,f3085,f3076,f2690,f3290,f3350,f3321,f4248,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f3084,f3073,f3068,f2992,f2777,f2770,f2765,f2702,f2545,f2542,f2395,f2392,f2980,f4296,f4303,f63,f61,f59,f56,f3303,f4314,f2981,f2691,f2531,f2383,f62,f60,f1992,f2056,f2002,f39,f40,f1515,f1512,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f4720,f4721,f24,f26,f29,f31,f33,f1484,f4723,f1529,f1468,f1462,f1396,f1307,f4725,f1234,f4726,f32,f30,f23,f21,f19,f16,f14,f4729,f771,f765,f22,f20,f75,f4732,f4733,f4734,f4739,f4737,f4738,f1218,f4743,f1669,f2082,f4770,f4771,f4779,f4775,f4776,f4731,f4833,f4736,f4883,f1688,f1672,f25,f34,f36,f41,f43,f42,f35]) ).
fof(f35,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f42,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c8,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f1672,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1537,f658]) ).
fof(f1537,plain,
( identity = inverse(multiply(sk_c10,sk_c11))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f657]) ).
fof(f1688,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1553,f658]) ).
fof(f1553,plain,
( identity = inverse(multiply(sk_c10,sk_c11))
| ~ spl0_1 ),
inference(superposition,[],[f657,f1350]) ).
fof(f4883,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4879,f1]) ).
fof(f4879,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f4736]) ).
fof(f4736,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1187,f75]) ).
fof(f4833,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4829,f1]) ).
fof(f4829,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f4731]) ).
fof(f4731,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f75]) ).
fof(f4776,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2082]) ).
fof(f4775,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f1187,f2082]) ).
fof(f4779,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4774,f1219]) ).
fof(f4774,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1074,f2082]) ).
fof(f4771,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f2082]) ).
fof(f4770,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f2082]) ).
fof(f2082,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1219,f75]) ).
fof(f1669,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1534,f662]) ).
fof(f1534,plain,
( identity = inverse(multiply(inverse(inverse(sk_c5)),sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f673]) ).
fof(f4743,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f103,f1218]) ).
fof(f1218,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f1188,f659]) ).
fof(f4738,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1219,f75]) ).
fof(f4737,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f75]) ).
fof(f4739,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4735,f1219]) ).
fof(f4735,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f1074,f75]) ).
fof(f4734,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f467,f75]) ).
fof(f4733,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f449,f75]) ).
fof(f4732,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f75]) ).
fof(f75,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_2
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f22,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f765,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f667,f103]) ).
fof(f771,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f103,f667]) ).
fof(f4729,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f776,f1]) ).
fof(f776,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f763]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f4726,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1228,f1188]) ).
fof(f1228,plain,
( multiply(sk_c11,identity) = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f1188,f667]) ).
fof(f1234,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f659,f1188]) ).
fof(f4725,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1244,f1188]) ).
fof(f1244,plain,
( multiply(sk_c11,identity) = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f667,f1188]) ).
fof(f1307,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f1219,f71]) ).
fof(f1396,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1193,f71]) ).
fof(f1462,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1427,f467]) ).
fof(f1427,plain,
( ! [X0] : multiply(sk_c11,multiply(inverse(inverse(sk_c10)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1193,f667]) ).
fof(f1468,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1435,f467]) ).
fof(f1435,plain,
( ! [X0] : multiply(sk_c11,multiply(inverse(inverse(sk_c10)),X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f667,f1193]) ).
fof(f1529,plain,
( ! [X0] : identity = multiply(X0,multiply(sk_c11,inverse(multiply(X0,inverse(sk_c10)))))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f667]) ).
fof(f4723,plain,
( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c11,X0)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1563,f774]) ).
fof(f1563,plain,
( ! [X0] : multiply(sk_c10,identity) = multiply(X0,inverse(multiply(sk_c11,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f657,f1350]) ).
fof(f1484,plain,
( ! [X0] : identity = multiply(inverse(sk_c10),multiply(X0,inverse(multiply(sk_c11,X0))))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f667]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c8,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f26,axiom,
( sk_c11 = multiply(sk_c5,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f4721,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_2 ),
inference(global_subsumption,[],[f1,f2,f5,f77,f3,f106,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f483,f664,f662,f448,f678,f17,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1886,f1885,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1740,f1731,f1729,f1980,f1981,f1685,f1674,f1673,f1527,f1988,f1520,f1990,f1991,f1517,f1511,f1632,f1629,f1995,f1480,f48,f2007,f38,f2008,f58,f47,f37,f57,f2018,f54,f55,f1689,f1875,f1790,f1876,f1040,f1690,f75,f2077,f2078,f2083,f1669,f2082,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2393,f2396,f2310,f2548,f2558,f2526,f2543,f2546,f2367,f2703,f2694,f2741,f2742,f2385,f2775,f2767,f2776,f2778,f2772,f2513,f2974,f2993,f2983,f3032,f2535,f3080,f3085,f3076,f2690,f3290,f3350,f3321,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f3084,f3073,f3068,f2992,f2777,f2770,f2765,f2702,f2545,f2542,f2395,f2392,f2980,f4296,f4303,f63,f61,f59,f56,f4314,f62,f60,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f4720,f25]) ).
fof(f4720,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_2 ),
inference(global_subsumption,[],[f25,f1,f2,f5,f77,f3,f106,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f483,f664,f662,f448,f678,f17,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1886,f1885,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1740,f1731,f1729,f1980,f1981,f1685,f1674,f1673,f1527,f1988,f1520,f1990,f1991,f1517,f1511,f1632,f1629,f1995,f1480,f48,f2007,f38,f2008,f58,f47,f37,f57,f2018,f54,f55,f1689,f1875,f1790,f1876,f1040,f1690,f75,f2077,f2078,f2083,f1669,f2082,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2393,f2396,f2310,f2548,f2558,f2526,f2543,f2546,f2367,f2703,f2694,f2741,f2742,f2385,f2775,f2767,f2776,f2778,f2772,f2513,f2974,f2993,f2983,f3032,f2535,f3080,f3085,f3076,f2690,f3290,f3350,f3321,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f3084,f3073,f3068,f2992,f2777,f2770,f2765,f2702,f2545,f2542,f2395,f2392,f2980,f4296,f4303,f63,f61,f59,f56,f4314,f62,f60,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f44,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f46,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f49,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f51,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c10 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f53,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f50,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c3 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f45,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f1162,plain,
identity = inverse(identity),
inference(superposition,[],[f1074,f449]) ).
fof(f1165,plain,
identity = inverse(identity),
inference(superposition,[],[f449,f1074]) ).
fof(f1224,plain,
identity = inverse(identity),
inference(superposition,[],[f1188,f2]) ).
fof(f1225,plain,
identity = inverse(identity),
inference(superposition,[],[f1188,f448]) ).
fof(f1240,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f1188]) ).
fof(f1241,plain,
identity = inverse(identity),
inference(superposition,[],[f448,f1188]) ).
fof(f1343,plain,
identity = inverse(identity),
inference(superposition,[],[f1187,f1]) ).
fof(f1351,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f1187]) ).
fof(f2003,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1243,f1219]) ).
fof(f1243,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1074,f1188]) ).
fof(f2004,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1227,f1219]) ).
fof(f1227,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1188,f1074]) ).
fof(f1675,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1540,f2]) ).
fof(f1540,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f1350,f103]) ).
fof(f1676,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1541,f1187]) ).
fof(f1541,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f1350,f1193]) ).
fof(f1691,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1556,f2]) ).
fof(f1556,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f103,f1350]) ).
fof(f1692,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1557,f1187]) ).
fof(f1557,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f1193,f1350]) ).
fof(f1512,plain,
( identity = multiply(sk_c10,multiply(sk_c11,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f658]) ).
fof(f1515,plain,
( identity = multiply(sk_c11,multiply(sk_c10,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f763]) ).
fof(f40,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f2002,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(identity,X5)
| identity != sk_c11
| identity != sk_c10
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f2001]) ).
fof(f2056,plain,
( identity = sk_c11
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2054,plain,
( spl0_9
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1992,plain,
( identity = multiply(sk_c10,multiply(sk_c11,inverse(identity)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1513,f1219]) ).
fof(f1513,plain,
( identity = multiply(inverse(inverse(sk_c10)),multiply(sk_c11,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f1350,f665]) ).
fof(f60,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f62,axiom,
( sk_c10 = inverse(sk_c9)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f2383,plain,
( multiply(sk_c10,sk_c5) = inverse(multiply(sk_c4,sk_c11))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f657,f2268]) ).
fof(f2531,plain,
( inverse(multiply(sk_c5,sk_c11)) = multiply(sk_c10,sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f657,f2310]) ).
fof(f2691,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c11),sk_c10)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2367,f71]) ).
fof(f2981,plain,
( sk_c4 = multiply(multiply(sk_c4,sk_c11),sk_c10)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2513,f71]) ).
fof(f4314,plain,
( identity = sk_c11
| sk_c11 = inverse(sk_c2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f54,f2080]) ).
fof(f3303,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c10),sk_c11)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f2690,f71]) ).
fof(f56,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f59,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f61,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f63,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f4303,plain,
( identity = sk_c11
| sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f34,f2080]) ).
fof(f4296,plain,
( identity = sk_c11
| sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f44,f2080]) ).
fof(f2980,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c4,inverse(X0)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f2513,f1219]) ).
fof(f2392,plain,
( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f2268]) ).
fof(f2395,plain,
( ! [X0] : multiply(X0,sk_c5) = inverse(multiply(sk_c4,inverse(X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2268]) ).
fof(f2542,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f103,f2310]) ).
fof(f2545,plain,
( ! [X0] : multiply(X0,sk_c4) = inverse(multiply(sk_c5,inverse(X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2310]) ).
fof(f2702,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c5,X0)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f2367]) ).
fof(f2765,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2,f2385]) ).
fof(f2770,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1187,f2385]) ).
fof(f2777,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2769,f1219]) ).
fof(f2769,plain,
( identity = multiply(inverse(inverse(multiply(sk_c5,sk_c5))),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1074,f2385]) ).
fof(f2992,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c4,X0)),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f103,f2513]) ).
fof(f3068,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f2,f2535]) ).
fof(f3073,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1187,f2535]) ).
fof(f3084,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3072,f1219]) ).
fof(f3072,plain,
( identity = multiply(inverse(inverse(multiply(sk_c4,sk_c4))),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1074,f2535]) ).
fof(f2745,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2740,f2082]) ).
fof(f2740,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2694]) ).
fof(f3035,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3030,f75]) ).
fof(f3030,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,inverse(sk_c4)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2983]) ).
fof(f3320,plain,
( ! [X0] : multiply(inverse(multiply(sk_c5,inverse(X0))),sk_c5) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f2690]) ).
fof(f2435,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2391,f2082]) ).
fof(f2391,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2268]) ).
fof(f2591,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),sk_c5))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2541,f75]) ).
fof(f2541,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),inverse(sk_c4)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2310]) ).
fof(f2737,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2701,f2082]) ).
fof(f2701,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2367]) ).
fof(f3027,plain,
( ! [X0] : identity = multiply(multiply(sk_c4,X0),multiply(inverse(X0),sk_c5))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2991,f75]) ).
fof(f2991,plain,
( ! [X0] : identity = multiply(multiply(sk_c4,X0),multiply(inverse(X0),inverse(sk_c4)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2513]) ).
fof(f4248,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(identity,X5)
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f4247,f2099]) ).
fof(f4247,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(identity,X5)
| identity != sk_c10
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2002,f2056]) ).
fof(f3321,plain,
( ! [X0,X1] : multiply(sk_c5,X1) = multiply(multiply(sk_c5,inverse(X0)),multiply(X0,X1))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2690]) ).
fof(f3350,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,inverse(X0)),multiply(X0,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3319,f2082]) ).
fof(f3319,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,inverse(X0)),multiply(X0,inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f2690]) ).
fof(f3290,plain,
( sk_c5 = multiply(multiply(sk_c5,multiply(sk_c5,sk_c5)),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2690,f2385]) ).
fof(f2690,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,inverse(X0)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f2367,f1219]) ).
fof(f3076,plain,
( sk_c5 = multiply(multiply(sk_c5,multiply(sk_c5,sk_c5)),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2367,f2535]) ).
fof(f3085,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,multiply(sk_c4,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3074,f3]) ).
fof(f3074,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(multiply(sk_c4,sk_c4),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2535]) ).
fof(f3080,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,multiply(sk_c5,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3069,f3]) ).
fof(f3069,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(multiply(sk_c5,sk_c5),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f2535]) ).
fof(f2535,plain,
( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f2081,f2310]) ).
fof(f3032,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2983]) ).
fof(f2983,plain,
( sk_c4 = multiply(multiply(sk_c4,sk_c4),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2513,f75]) ).
fof(f2993,plain,
( ! [X0,X1] : multiply(sk_c4,X1) = multiply(multiply(sk_c4,X0),multiply(inverse(X0),X1))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2513]) ).
fof(f2974,plain,
( sk_c4 = multiply(multiply(sk_c4,multiply(sk_c4,sk_c4)),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f2513,f2385]) ).
fof(f2513,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f2310,f2076]) ).
fof(f2772,plain,
( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1219,f2385]) ).
fof(f2778,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,multiply(sk_c5,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2771,f3]) ).
fof(f2771,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(multiply(sk_c5,sk_c5),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2385]) ).
fof(f2776,plain,
( ! [X0] : multiply(inverse(multiply(sk_c5,sk_c5)),X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2768,f3]) ).
fof(f2768,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),X0) = multiply(inverse(multiply(sk_c5,sk_c5)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f467,f2385]) ).
fof(f2767,plain,
( multiply(sk_c4,sk_c4) = multiply(inverse(multiply(sk_c5,sk_c5)),identity)
| ~ spl0_2 ),
inference(superposition,[],[f449,f2385]) ).
fof(f2775,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,multiply(sk_c4,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2766,f3]) ).
fof(f2766,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(multiply(sk_c4,sk_c4),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f2385]) ).
fof(f2385,plain,
( multiply(sk_c5,sk_c5) = inverse(multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2076,f2268]) ).
fof(f2742,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2694]) ).
fof(f2741,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f2694]) ).
fof(f2694,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c5),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2367,f2082]) ).
fof(f2703,plain,
( ! [X0,X1] : multiply(sk_c5,X1) = multiply(multiply(sk_c5,X0),multiply(inverse(X0),X1))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2367]) ).
fof(f2367,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f2268,f2081]) ).
fof(f2546,plain,
( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2310]) ).
fof(f2543,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c5,X0)),X1)) = multiply(sk_c4,X1)
| ~ spl0_2 ),
inference(superposition,[],[f3,f2310]) ).
fof(f2526,plain,
( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f2310,f3]) ).
fof(f2558,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2519,f75]) ).
fof(f2519,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),inverse(sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2310,f2310]) ).
fof(f2548,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2514,f2082]) ).
fof(f2514,plain,
( ! [X0] : sk_c4 = multiply(multiply(inverse(sk_c5),X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f2310,f1193]) ).
fof(f2310,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2302,f1188]) ).
fof(f2302,plain,
( ! [X0] : multiply(sk_c4,identity) = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f2081,f1350]) ).
fof(f2396,plain,
( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2268]) ).
fof(f2393,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c4,X0)),X1)) = multiply(sk_c5,X1)
| ~ spl0_2 ),
inference(superposition,[],[f3,f2268]) ).
fof(f2378,plain,
( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f2268,f3]) ).
fof(f2405,plain,
( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2371,f2082]) ).
fof(f2371,plain,
( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),inverse(sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f2268,f2268]) ).
fof(f2398,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2368,f75]) ).
fof(f2368,plain,
( ! [X0] : sk_c5 = multiply(multiply(inverse(sk_c4),X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f2268,f1193]) ).
fof(f2268,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2260,f1188]) ).
fof(f2260,plain,
( ! [X0] : multiply(sk_c5,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f2076,f1350]) ).
fof(f2081,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f75]) ).
fof(f2076,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f75]) ).
fof(f2220,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2215,f1]) ).
fof(f2215,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2080]) ).
fof(f2080,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1187,f75]) ).
fof(f2172,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2167,f1]) ).
fof(f2167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f2075]) ).
fof(f2075,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f75]) ).
fof(f2159,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f2082]) ).
fof(f2158,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f1187,f2082]) ).
fof(f2162,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2157,f1219]) ).
fof(f2157,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1074,f2082]) ).
fof(f2154,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f2082]) ).
fof(f2153,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f2082]) ).
fof(f2099,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f1669,f2062]) ).
fof(f2100,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f2062,f1669]) ).
fof(f2093,plain,
( identity = inverse(sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1219,f2062]) ).
fof(f2092,plain,
( ! [X0] : multiply(identity,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1193,f2062]) ).
fof(f2091,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1187,f2062]) ).
fof(f2098,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2090,f1219]) ).
fof(f2090,plain,
( identity = multiply(inverse(inverse(sk_c10)),identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1074,f2062]) ).
fof(f2094,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2087,f1]) ).
fof(f2087,plain,
( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f103,f2062]) ).
fof(f2086,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f2,f2062]) ).
fof(f2085,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f448,f2062]) ).
fof(f2083,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2079,f1219]) ).
fof(f2079,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f1074,f75]) ).
fof(f2078,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f467,f75]) ).
fof(f2077,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f449,f75]) ).
fof(f2070,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f763,f2056]) ).
fof(f2072,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2065,f1219]) ).
fof(f2065,plain,
( identity = multiply(inverse(inverse(sk_c10)),identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f665,f2056]) ).
fof(f2064,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f658,f2056]) ).
fof(f2071,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2063,f1]) ).
fof(f2063,plain,
( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f657,f2056]) ).
fof(f1690,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1555,f77]) ).
fof(f1555,plain,
( identity = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f106,f1350]) ).
fof(f1040,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1037,f740]) ).
fof(f1037,plain,
( multiply(sk_c4,identity) = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f741,f1022]) ).
fof(f1876,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1827,f77]) ).
fof(f1827,plain,
( multiply(sk_c5,sk_c4) = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f106,f1709]) ).
fof(f1790,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1748,f739]) ).
fof(f1748,plain,
( multiply(sk_c4,sk_c5) = inverse(multiply(sk_c4,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f741,f1707]) ).
fof(f1875,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1874,f662]) ).
fof(f1874,plain,
( inverse(identity) = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1826,f77]) ).
fof(f1826,plain,
( multiply(inverse(inverse(sk_c5)),sk_c4) = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f673,f1709]) ).
fof(f1689,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1554,f739]) ).
fof(f1554,plain,
( identity = inverse(multiply(sk_c4,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f741,f1350]) ).
fof(f55,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f54,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f2018,plain,
( identity = sk_c11
| sk_c11 = inverse(sk_c2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f54,f739]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f58,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f2008,plain,
( identity = sk_c11
| sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f34,f739]) ).
fof(f38,axiom,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f2007,plain,
( identity = sk_c11
| sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f44,f739]) ).
fof(f48,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f2001,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != multiply(identity,X5)
| identity != sk_c11
| identity != sk_c10
| sk_c10 != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| sk_c10 != multiply(X11,identity)
| sk_c10 != multiply(inverse(X9),identity)
| identity != multiply(X8,sk_c10)
| identity != multiply(inverse(X6),sk_c10)
| identity != multiply(X3,sk_c10) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2000,f1188]) ).
fof(f2000,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != sk_c11
| identity != sk_c10
| sk_c10 != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| sk_c10 != multiply(X11,identity)
| sk_c10 != multiply(inverse(X9),identity)
| sk_c10 != multiply(identity,multiply(X5,identity))
| identity != multiply(X8,sk_c10)
| identity != multiply(inverse(X6),sk_c10)
| identity != multiply(X3,sk_c10) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f1999]) ).
fof(f1999,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != sk_c11
| identity != sk_c10
| sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1998,f1187]) ).
fof(f1998,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != sk_c10
| sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1281,f1187]) ).
fof(f1281,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f67,f71]) ).
fof(f1480,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f1350,f2]) ).
fof(f1995,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f1483,f1219]) ).
fof(f1483,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f1350,f1074]) ).
fof(f1629,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f1509,f3]) ).
fof(f1509,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f1350,f1350]) ).
fof(f1632,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1510,f460]) ).
fof(f1510,plain,
( identity = multiply(sk_c5,multiply(inverse(sk_c5),inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f1022]) ).
fof(f1511,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f1350,f1187]) ).
fof(f1517,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f77]) ).
fof(f1991,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1518,f1219]) ).
fof(f1518,plain,
( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f662]) ).
fof(f1990,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1989,f1219]) ).
fof(f1989,plain,
( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1519,f1219]) ).
fof(f1519,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f795]) ).
fof(f1520,plain,
( identity = multiply(sk_c4,multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f739]) ).
fof(f1988,plain,
( identity = multiply(sk_c4,multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1987,f1040]) ).
fof(f1987,plain,
( identity = multiply(inverse(sk_c5),multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1521,f1219]) ).
fof(f1521,plain,
( identity = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f992]) ).
fof(f1527,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
inference(superposition,[],[f1350,f448]) ).
fof(f1673,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1538,f739]) ).
fof(f1538,plain,
( identity = inverse(multiply(sk_c4,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f741]) ).
fof(f1674,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1539,f77]) ).
fof(f1539,plain,
( identity = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f106]) ).
fof(f1685,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1550,f662]) ).
fof(f1550,plain,
( identity = inverse(multiply(inverse(inverse(sk_c5)),sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f673,f1350]) ).
fof(f1981,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1726,f1707]) ).
fof(f1726,plain,
( ! [X0] : sk_c5 = multiply(multiply(X0,inverse(multiply(sk_c4,X0))),inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f1350]) ).
fof(f1980,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1727,f75]) ).
fof(f1727,plain,
( sk_c5 = multiply(inverse(sk_c4),inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f1187]) ).
fof(f1729,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f739]) ).
fof(f1731,plain,
( sk_c5 = inverse(multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f448]) ).
fof(f1740,plain,
( sk_c5 = inverse(multiply(sk_c4,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f448,f1707]) ).
fof(f1744,plain,
( multiply(sk_c10,sk_c5) = inverse(multiply(sk_c4,sk_c11))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f657,f1707]) ).
fof(f1979,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1803,f1709]) ).
fof(f1803,plain,
( ! [X0] : sk_c4 = multiply(multiply(X0,inverse(multiply(sk_c5,X0))),inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f1350]) ).
fof(f1978,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1804,f1040]) ).
fof(f1804,plain,
( sk_c4 = multiply(inverse(sk_c5),inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f1022]) ).
fof(f1977,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1805,f1040]) ).
fof(f1805,plain,
( sk_c4 = multiply(inverse(sk_c5),inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f1187]) ).
fof(f1808,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f77]) ).
fof(f1810,plain,
( sk_c4 = inverse(multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f448]) ).
fof(f1853,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1813,f1022]) ).
fof(f1813,plain,
( sk_c4 = multiply(sk_c4,inverse(multiply(sk_c5,inverse(sk_c5))))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f460]) ).
fof(f1819,plain,
( sk_c4 = inverse(multiply(sk_c5,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f448,f1709]) ).
fof(f1862,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1822,f1022]) ).
fof(f1822,plain,
( sk_c4 = multiply(sk_c4,inverse(multiply(sk_c5,inverse(sk_c5))))
| ~ spl0_2 ),
inference(superposition,[],[f460,f1709]) ).
fof(f1823,plain,
( inverse(multiply(sk_c5,sk_c11)) = multiply(sk_c10,sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f657,f1709]) ).
fof(f1885,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1724,f748]) ).
fof(f1886,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1724,f1188]) ).
fof(f1897,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c11),sk_c10)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1724,f71]) ).
fof(f1958,plain,
( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1219,f1747]) ).
fof(f1964,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,multiply(sk_c5,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1957,f3]) ).
fof(f1957,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),multiply(multiply(sk_c5,sk_c5),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1193,f1747]) ).
fof(f1956,plain,
( identity = multiply(multiply(sk_c4,sk_c4),multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1187,f1747]) ).
fof(f1963,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1955,f1219]) ).
fof(f1955,plain,
( identity = multiply(inverse(inverse(multiply(sk_c5,sk_c5))),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1074,f1747]) ).
fof(f1962,plain,
( ! [X0] : multiply(inverse(multiply(sk_c5,sk_c5)),X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1954,f3]) ).
fof(f1954,plain,
( ! [X0] : multiply(multiply(sk_c4,sk_c4),X0) = multiply(inverse(multiply(sk_c5,sk_c5)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f467,f1747]) ).
fof(f1953,plain,
( multiply(sk_c4,sk_c4) = multiply(inverse(multiply(sk_c5,sk_c5)),identity)
| ~ spl0_2 ),
inference(superposition,[],[f449,f1747]) ).
fof(f1961,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,multiply(sk_c4,X0))) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1952,f3]) ).
fof(f1952,plain,
( ! [X0] : multiply(multiply(sk_c5,sk_c5),multiply(multiply(sk_c4,sk_c4),X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f1747]) ).
fof(f1951,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f2,f1747]) ).
fof(f1747,plain,
( multiply(sk_c5,sk_c5) = inverse(multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f106,f1707]) ).
fof(f1944,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1900]) ).
fof(f1943,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f1900]) ).
fof(f1947,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1942,f1040]) ).
fof(f1942,plain,
( identity = multiply(multiply(sk_c5,sk_c5),multiply(sk_c4,inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f1900]) ).
fof(f1900,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c5),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f1724,f1040]) ).
fof(f1906,plain,
( ! [X0,X1] : multiply(sk_c5,X1) = multiply(multiply(sk_c5,X0),multiply(inverse(X0),X1))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1724]) ).
fof(f1905,plain,
( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c5,X0)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f1724]) ).
fof(f1939,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1904,f1040]) ).
fof(f1904,plain,
( ! [X0] : identity = multiply(multiply(sk_c5,X0),multiply(inverse(X0),inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f1724]) ).
fof(f1896,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,inverse(X0)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f1724,f1219]) ).
fof(f1724,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f741]) ).
fof(f1836,plain,
( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1709]) ).
fof(f1835,plain,
( ! [X0] : multiply(X0,sk_c4) = inverse(multiply(sk_c5,inverse(X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1193,f1709]) ).
fof(f1833,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c5,X0)),X1)) = multiply(sk_c4,X1)
| ~ spl0_2 ),
inference(superposition,[],[f3,f1709]) ).
fof(f1832,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f103,f1709]) ).
fof(f1883,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),sk_c5))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1831,f75]) ).
fof(f1831,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c5,X0)),inverse(sk_c4)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f1709]) ).
fof(f1828,plain,
( multiply(sk_c4,sk_c4) = inverse(multiply(sk_c5,sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f741,f1709]) ).
fof(f1816,plain,
( ! [X0,X1] : sk_c4 = multiply(X0,multiply(X1,inverse(multiply(sk_c5,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f3]) ).
fof(f1846,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1807,f75]) ).
fof(f1807,plain,
( sk_c4 = multiply(inverse(multiply(sk_c5,sk_c5)),inverse(sk_c4))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f1709]) ).
fof(f1839,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1802,f460]) ).
fof(f1802,plain,
( ! [X0] : sk_c4 = multiply(multiply(inverse(sk_c5),X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f1193]) ).
fof(f1801,plain,
( ! [X0] : sk_c4 = multiply(multiply(sk_c4,X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f1709,f106]) ).
fof(f1709,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1567,f740]) ).
fof(f1567,plain,
( ! [X0] : multiply(sk_c4,identity) = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f741,f1350]) ).
fof(f1756,plain,
( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1707]) ).
fof(f1755,plain,
( ! [X0] : multiply(X0,sk_c5) = inverse(multiply(sk_c4,inverse(X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1193,f1707]) ).
fof(f1753,plain,
( ! [X0,X1] : multiply(X0,multiply(inverse(multiply(sk_c4,X0)),X1)) = multiply(sk_c5,X1)
| ~ spl0_2 ),
inference(superposition,[],[f3,f1707]) ).
fof(f1752,plain,
( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f1707]) ).
fof(f1797,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1751,f1040]) ).
fof(f1751,plain,
( ! [X0] : identity = multiply(X0,multiply(inverse(multiply(sk_c4,X0)),inverse(sk_c5)))
| ~ spl0_2 ),
inference(superposition,[],[f1350,f1707]) ).
fof(f1789,plain,
( multiply(sk_c5,sk_c5) = inverse(multiply(sk_c4,sk_c4))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1746,f987]) ).
fof(f1746,plain,
( inverse(multiply(sk_c4,sk_c4)) = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f673,f1707]) ).
fof(f1737,plain,
( ! [X0,X1] : sk_c5 = multiply(X0,multiply(X1,inverse(multiply(sk_c4,multiply(X0,X1)))))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f3]) ).
fof(f1764,plain,
( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),sk_c4)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1728,f1040]) ).
fof(f1728,plain,
( sk_c5 = multiply(inverse(multiply(sk_c4,sk_c4)),inverse(sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f1707]) ).
fof(f1759,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c5,X0),inverse(X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1725,f75]) ).
fof(f1725,plain,
( ! [X0] : sk_c5 = multiply(multiply(inverse(sk_c4),X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f1707,f1193]) ).
fof(f1707,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1565,f988]) ).
fof(f1565,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f673,f1350]) ).
fof(f1721,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1574,f3]) ).
fof(f1574,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f1350]) ).
fof(f1720,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1573,f1188]) ).
fof(f1573,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f1193,f1350]) ).
fof(f1718,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1717,f3]) ).
fof(f1717,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f1571,f1]) ).
fof(f1571,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f1350]) ).
fof(f1716,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1570,f1188]) ).
fof(f1570,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f103,f1350]) ).
fof(f1708,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1566,f748]) ).
fof(f1566,plain,
( ! [X0] : multiply(sk_c5,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f106,f1350]) ).
fof(f1684,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1549,f3]) ).
fof(f1549,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f1350,f3]) ).
fof(f1533,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f1350,f3]) ).
fof(f1488,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f1350,f3]) ).
fof(f1350,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f1187,f3]) ).
fof(f1446,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f1193]) ).
fof(f1431,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f1193,f3]) ).
fof(f1193,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f467,f103]) ).
fof(f1366,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f1187]) ).
fof(f1392,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1364,f1]) ).
fof(f1364,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f1187]) ).
fof(f1187,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f467,f2]) ).
fof(f1331,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f1219]) ).
fof(f1330,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f103,f1219]) ).
fof(f1219,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1188,f449]) ).
fof(f1280,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1255,f1188]) ).
fof(f1255,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f467,f1188]) ).
fof(f1235,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f449,f1188]) ).
fof(f1268,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1231,f1188]) ).
fof(f1231,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f1188,f467]) ).
fof(f1188,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f467,f449]) ).
fof(f1207,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f103,f467]) ).
fof(f1202,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f449,f467]) ).
fof(f1200,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f103,f467]) ).
fof(f1199,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f467]) ).
fof(f467,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f103,f103]) ).
fof(f1176,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f1164,f1]) ).
fof(f1164,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f1074]) ).
fof(f1163,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f103,f1074]) ).
fof(f1074,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f103,f449]) ).
fof(f1081,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f1075,f1]) ).
fof(f1075,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f449]) ).
fof(f449,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f103,f2]) ).
fof(f1041,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1038,f483]) ).
fof(f1038,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f1022]) ).
fof(f1022,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f987,f2]) ).
fof(f1028,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f987]) ).
fof(f1027,plain,
( identity = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f2,f987]) ).
fof(f987,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f673,f741]) ).
fof(f1013,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1012,f1]) ).
fof(f1012,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f795]) ).
fof(f1011,plain,
( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c5))))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f795]) ).
fof(f795,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f103,f671]) ).
fof(f997,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f996,f1]) ).
fof(f996,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f992]) ).
fof(f995,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f992]) ).
fof(f992,plain,
( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f103,f988]) ).
fof(f994,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f993,f1]) ).
fof(f993,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f988]) ).
fof(f988,plain,
( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_2 ),
inference(superposition,[],[f673,f739]) ).
fof(f989,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_2 ),
inference(superposition,[],[f103,f673]) ).
fof(f673,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f672,f1]) ).
fof(f672,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f662]) ).
fof(f797,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f796,f1]) ).
fof(f796,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f671]) ).
fof(f671,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f662]) ).
fof(f774,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl0_1 ),
inference(superposition,[],[f657,f763]) ).
fof(f777,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f775,f71]) ).
fof(f775,plain,
( sk_c10 = multiply(inverse(sk_c11),identity)
| ~ spl0_1 ),
inference(superposition,[],[f103,f763]) ).
fof(f763,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f667,f2]) ).
fof(f768,plain,
( ! [X0] : multiply(inverse(inverse(sk_c10)),multiply(sk_c11,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f103,f667]) ).
fof(f767,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f2,f667]) ).
fof(f667,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f666,f1]) ).
fof(f666,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c10),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f659]) ).
fof(f741,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f460,f103]) ).
fof(f748,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_2 ),
inference(superposition,[],[f106,f739]) ).
fof(f740,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_2 ),
inference(superposition,[],[f460,f483]) ).
fof(f752,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f750,f1]) ).
fof(f750,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f739]) ).
fof(f751,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f749,f75]) ).
fof(f749,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f739]) ).
fof(f739,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f460,f2]) ).
fof(f746,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f460]) ).
fof(f745,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_2 ),
inference(superposition,[],[f483,f460]) ).
fof(f743,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f103,f460]) ).
fof(f742,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f460]) ).
fof(f460,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f103,f106]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f678,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f103,f448]) ).
fof(f448,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f103,f1]) ).
fof(f676,plain,
( ! [X0] : multiply(inverse(inverse(sk_c10)),multiply(sk_c11,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f675,f1]) ).
fof(f675,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c10)),multiply(sk_c11,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f665]) ).
fof(f674,plain,
( sk_c11 = multiply(inverse(inverse(inverse(sk_c10))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f103,f665]) ).
fof(f665,plain,
( identity = multiply(inverse(inverse(sk_c10)),sk_c11)
| ~ spl0_1 ),
inference(superposition,[],[f103,f659]) ).
fof(f662,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f103,f483]) ).
fof(f668,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_1 ),
inference(superposition,[],[f103,f657]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f103,f71]) ).
fof(f659,plain,
( sk_c11 = multiply(inverse(sk_c10),identity)
| ~ spl0_1 ),
inference(superposition,[],[f103,f658]) ).
fof(f664,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f663,f1]) ).
fof(f663,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f483]) ).
fof(f483,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f103,f77]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f660,f1]) ).
fof(f660,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c11,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f658]) ).
fof(f658,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_1 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_1
<=> inverse(sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c6)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c7)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c9)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f4,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f8,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f9,axiom,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f11,axiom,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f13,axiom,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f67,plain,
! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| inverse(sk_c11) != sk_c10
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X11,X8,X6,X9,X4,X5] :
( sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| inverse(sk_c11) != sk_c10
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,X4)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6))
| multiply(X5,sk_c11) != X4 ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| inverse(sk_c11) != sk_c10
| inverse(X6) != X7
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,X4)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,X7)
| multiply(X5,sk_c11) != X4 ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| inverse(sk_c11) != sk_c10
| inverse(X9) != X10
| inverse(X6) != X7
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(X10,sk_c11)
| sk_c10 != multiply(sk_c11,X4)
| sk_c10 != multiply(X9,X10)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,X7)
| multiply(X5,sk_c11) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f452,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f103,f3]) ).
fof(f103,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f91,f1]) ).
fof(f91,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f106,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f97,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f77]) ).
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(f77,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f75]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c4)
| inverse(sk_c11) = sk_c10 ),
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(f4979,plain,
( identity = sk_c10
| sk_c10 = multiply(sk_c11,sk_c3)
| spl0_3 ),
inference(forward_demodulation,[],[f39,f4854]) ).
fof(f4854,plain,
( identity = multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(superposition,[],[f1187,f4848]) ).
fof(f4848,plain,
( sk_c8 = inverse(sk_c7)
| spl0_3 ),
inference(subsumption_resolution,[],[f20,f683]) ).
fof(f683,plain,
( sk_c11 != inverse(sk_c1)
| spl0_3 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl0_3
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2062,plain,
( sk_c10 = inverse(identity)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f71,f2056]) ).
fof(f5377,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5376,f2056]) ).
fof(f5376,plain,
( identity != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5375,f1218]) ).
fof(f5375,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5374,f2056]) ).
fof(f5374,plain,
( identity != sk_c11
| identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f5340,f1188]) ).
fof(f5340,plain,
( identity != multiply(sk_c11,identity)
| identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1968,f667]) ).
fof(f1968,plain,
( ! [X11] :
( identity != multiply(X11,identity)
| identity != inverse(X11) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f1967,plain,
( spl0_5
<=> ! [X11] :
( identity != multiply(X11,identity)
| identity != inverse(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5373,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f5372]) ).
fof(f5372,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f5371,f1219]) ).
fof(f5371,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f5343,f1219]) ).
fof(f5343,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f5339]) ).
fof(f5339,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(superposition,[],[f1968,f1074]) ).
fof(f5370,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f5369]) ).
fof(f5369,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f5344,f1219]) ).
fof(f5344,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f5338]) ).
fof(f5338,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1968,f448]) ).
fof(f5368,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f5367]) ).
fof(f5367,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f5345,f1219]) ).
fof(f5345,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f5337]) ).
fof(f5337,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f1968,f2]) ).
fof(f5366,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5365]) ).
fof(f5365,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5346,f5053]) ).
fof(f5346,plain,
( identity != inverse(identity)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f5336]) ).
fof(f5336,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f1968,f1]) ).
fof(f5364,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5363]) ).
fof(f5363,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5362,f5053]) ).
fof(f5362,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5347,f5108]) ).
fof(f5108,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f5085,f1188]) ).
fof(f5085,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5084,f4987]) ).
fof(f5084,plain,
( sk_c10 = multiply(sk_c8,identity)
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4990,f2056]) ).
fof(f4990,plain,
( sk_c10 = multiply(sk_c8,sk_c11)
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f35,f4986,f4979,f42,f4988,f43,f4989,f41]) ).
fof(f4989,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f35,f4986,f4979,f42,f4988,f43]) ).
fof(f4988,plain,
( sk_c10 = inverse(sk_c9)
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f35,f4986,f4979,f42]) ).
fof(f4986,plain,
( sk_c5 = inverse(sk_c4)
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f42,f4979,f35]) ).
fof(f4931,plain,
( sk_c5 = inverse(sk_c4)
| spl0_3 ),
inference(subsumption_resolution,[],[f15,f683]) ).
fof(f4868,plain,
( identity = multiply(sk_c8,multiply(sk_c7,inverse(identity)))
| spl0_3 ),
inference(superposition,[],[f1350,f4849]) ).
fof(f4884,plain,
( identity = multiply(sk_c7,multiply(sk_c8,inverse(identity)))
| spl0_3 ),
inference(superposition,[],[f1350,f4854]) ).
fof(f4891,plain,
( sk_c10 = inverse(sk_c9)
| spl0_3 ),
inference(subsumption_resolution,[],[f22,f683]) ).
fof(f4913,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| spl0_3 ),
inference(subsumption_resolution,[],[f14,f683]) ).
fof(f4890,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| spl0_3 ),
inference(forward_demodulation,[],[f4886,f1]) ).
fof(f4886,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_3 ),
inference(superposition,[],[f3,f4854]) ).
fof(f4874,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_3 ),
inference(forward_demodulation,[],[f4870,f1]) ).
fof(f4870,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_3 ),
inference(superposition,[],[f3,f4849]) ).
fof(f4849,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(superposition,[],[f2,f4848]) ).
fof(f4864,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_3 ),
inference(superposition,[],[f1193,f4856]) ).
fof(f4863,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(superposition,[],[f1187,f4856]) ).
fof(f4867,plain,
( identity = multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(forward_demodulation,[],[f4862,f1219]) ).
fof(f4862,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
| spl0_3 ),
inference(superposition,[],[f1074,f4856]) ).
fof(f4859,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| spl0_3 ),
inference(superposition,[],[f103,f4856]) ).
fof(f4858,plain,
( identity = multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(superposition,[],[f2,f4856]) ).
fof(f4856,plain,
( sk_c7 = inverse(sk_c8)
| spl0_3 ),
inference(superposition,[],[f1219,f4848]) ).
fof(f4855,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| spl0_3 ),
inference(superposition,[],[f1193,f4848]) ).
fof(f4857,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(forward_demodulation,[],[f4853,f1219]) ).
fof(f4853,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c7)
| spl0_3 ),
inference(superposition,[],[f1074,f4848]) ).
fof(f4852,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),X0)
| spl0_3 ),
inference(superposition,[],[f467,f4848]) ).
fof(f4851,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| spl0_3 ),
inference(superposition,[],[f449,f4848]) ).
fof(f4850,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_3 ),
inference(superposition,[],[f103,f4848]) ).
fof(f5347,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f5335]) ).
fof(f5335,plain,
( identity != identity
| identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f1968,f5085]) ).
fof(f5361,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5360]) ).
fof(f5360,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5359,f5053]) ).
fof(f5359,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5348,f5122]) ).
fof(f5122,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f5089,f1188]) ).
fof(f5089,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5088,f2056]) ).
fof(f5088,plain,
( sk_c11 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4992,f4987]) ).
fof(f4992,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f35,f4986,f4979,f42,f4988,f43,f4989,f41,f4990,f36]) ).
fof(f5348,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f5334]) ).
fof(f5334,plain,
( identity != identity
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f1968,f5089]) ).
fof(f5358,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5357]) ).
fof(f5357,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5356,f5053]) ).
fof(f5356,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5355,f4987]) ).
fof(f5355,plain,
( identity != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5333,f4987]) ).
fof(f5333,plain,
( identity != sk_c10
| identity != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1968,f774]) ).
fof(f5354,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5353]) ).
fof(f5353,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5352,f5053]) ).
fof(f5352,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5351,f2056]) ).
fof(f5351,plain,
( identity != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5350,f1218]) ).
fof(f5350,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5332,f2056]) ).
fof(f5332,plain,
( identity != sk_c11
| identity != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f1968,f659]) ).
fof(f5321,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5320]) ).
fof(f5320,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5319,f1]) ).
fof(f5319,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5283,f2056]) ).
fof(f5283,plain,
( identity != multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1971,f667]) ).
fof(f1971,plain,
( ! [X9] : identity != multiply(inverse(X9),identity)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1970,plain,
( spl0_6
<=> ! [X9] : identity != multiply(inverse(X9),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f5318,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5317]) ).
fof(f5317,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5278,f2056]) ).
fof(f5278,plain,
( identity != sk_c11
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1971,f659]) ).
fof(f5316,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5315]) ).
fof(f5315,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5314,f1]) ).
fof(f5314,plain,
( identity != multiply(identity,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5276,f2056]) ).
fof(f5276,plain,
( identity != multiply(sk_c11,identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f1971,f2052]) ).
fof(f2052,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2050,plain,
( spl0_8
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f5313,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5312]) ).
fof(f5312,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5275,f1]) ).
fof(f5275,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1971,f5037]) ).
fof(f5037,plain,
( identity = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4891,f4987]) ).
fof(f5311,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5310]) ).
fof(f5310,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5309,f1]) ).
fof(f5309,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5274,f5121]) ).
fof(f5121,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5120,f5053]) ).
fof(f5120,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f4856,f5108]) ).
fof(f5274,plain,
( identity != multiply(sk_c7,identity)
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f1971,f4856]) ).
fof(f5308,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5307]) ).
fof(f5307,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5273,f5085]) ).
fof(f5273,plain,
( identity != multiply(sk_c8,identity)
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f1971,f4848]) ).
fof(f5306,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5305]) ).
fof(f5305,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5304,f1]) ).
fof(f5304,plain,
( identity != multiply(identity,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5272,f2056]) ).
fof(f5272,plain,
( identity != multiply(sk_c11,identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f1971,f688]) ).
fof(f688,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl0_4
<=> sk_c11 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f5303,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5302]) ).
fof(f5302,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5301,f1]) ).
fof(f5301,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5271,f5134]) ).
fof(f5134,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5133,f5053]) ).
fof(f5133,plain,
( sk_c4 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f2082,f5122]) ).
fof(f5271,plain,
( identity != multiply(sk_c4,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1971,f2082]) ).
fof(f5300,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5299]) ).
fof(f5299,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5270,f5089]) ).
fof(f5270,plain,
( identity != multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1971,f75]) ).
fof(f5298,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5297]) ).
fof(f5297,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5296,f1]) ).
fof(f5296,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5269,f2056]) ).
fof(f5269,plain,
( identity != multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1971,f1218]) ).
fof(f5295,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5294]) ).
fof(f5294,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5293,f1]) ).
fof(f5293,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5268,f4987]) ).
fof(f5268,plain,
( identity != multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f1971,f71]) ).
fof(f5292,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5291]) ).
fof(f5291,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5266,f1]) ).
fof(f5266,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1971,f5053]) ).
fof(f5290,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f5289]) ).
fof(f5289,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f5280]) ).
fof(f5280,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1971,f2]) ).
fof(f5288,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f5287]) ).
fof(f5287,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f5281]) ).
fof(f5281,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1971,f448]) ).
fof(f5286,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f5285]) ).
fof(f5285,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f5282]) ).
fof(f5282,plain,
( identity != identity
| ~ spl0_6 ),
inference(superposition,[],[f1971,f1074]) ).
fof(f5265,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f5254,f1219]) ).
fof(f5254,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f5253]) ).
fof(f5253,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(superposition,[],[f1974,f1187]) ).
fof(f1974,plain,
( ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f1973,plain,
( spl0_7
<=> ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f5263,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5262]) ).
fof(f5262,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5261,f5053]) ).
fof(f5261,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f5260,f1187]) ).
fof(f5260,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(X0)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f5255,f1]) ).
fof(f5255,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f5252]) ).
fof(f5252,plain,
( ! [X0] :
( identity != identity
| identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
| ~ spl0_7 ),
inference(superposition,[],[f1974,f1350]) ).
fof(f5258,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f5256,f5053]) ).
fof(f5256,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f5250]) ).
fof(f5250,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_7 ),
inference(superposition,[],[f1974,f1188]) ).
fof(f4985,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4984]) ).
fof(f4984,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f42,f4979,f35,f74]) ).
fof(f74,plain,
( sk_c5 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f4487,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f44,f45,f55,f74,f52,f50,f53,f51,f49,f46,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f40,f4475,f42,f4476,f39,f4482,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f35]) ).
fof(f4482,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f52,f50,f53,f51,f49,f46,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f40,f4475,f42,f4476,f39]) ).
fof(f4476,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f53,f51,f49,f46,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f40,f4475,f42]) ).
fof(f4475,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f42,f53,f51,f49,f46,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f40]) ).
fof(f4456,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f42,f40,f53,f51,f49,f46,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41,f4455,f43]) ).
fof(f4455,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f42,f40,f53,f51,f49,f46,f43,f63,f61,f59,f56,f62,f60,f34,f4452,f36,f4453,f41]) ).
fof(f4453,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f42,f40,f53,f51,f49,f46,f43,f41,f63,f61,f59,f56,f62,f60,f34,f4452,f36]) ).
fof(f4452,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f58,f47,f37,f57,f54,f44,f45,f35,f55,f74,f39,f52,f50,f42,f40,f53,f51,f49,f46,f43,f41,f36,f63,f61,f59,f56,f62,f60,f34]) ).
fof(f4983,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4982]) ).
fof(f4982,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f42,f4979,f35]) ).
fof(f4981,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4980]) ).
fof(f4980,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f42,f4979]) ).
fof(f4978,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4977]) ).
fof(f4977,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43,f42]) ).
fof(f4976,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4975]) ).
fof(f4975,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41,f43]) ).
fof(f4974,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4973]) ).
fof(f4973,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36,f41]) ).
fof(f4972,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f4971]) ).
fof(f4971,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(global_subsumption,[],[f4300,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36]) ).
fof(f4300,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f38,f2030]) ).
fof(f2030,plain,
( sk_c10 = sk_c6
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2029,f774]) ).
fof(f2029,plain,
( sk_c6 = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2022,f71]) ).
fof(f2022,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl0_4 ),
inference(superposition,[],[f449,f688]) ).
fof(f4970,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4969]) ).
fof(f4969,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34,f36]) ).
fof(f4968,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4967]) ).
fof(f4967,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931,f34]) ).
fof(f4966,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4965]) ).
fof(f4965,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4964,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4964,plain,
( identity = sk_c3
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4963,f658]) ).
fof(f4963,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f45,f4719]) ).
fof(f4719,plain,
( sk_c10 = sk_c2
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4362,f774]) ).
fof(f4362,plain,
( sk_c2 = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4353,f71]) ).
fof(f4353,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl0_8 ),
inference(superposition,[],[f449,f2052]) ).
fof(f4962,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4961]) ).
fof(f4961,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4960,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4960,plain,
( identity = sk_c3
| sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4959,f658]) ).
fof(f4959,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f52,f4719]) ).
fof(f4958,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4957]) ).
fof(f4957,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4956,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4956,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4955,f658]) ).
fof(f4955,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f53,f4719]) ).
fof(f4954,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4953]) ).
fof(f4953,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4952,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4952,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4951,f658]) ).
fof(f4951,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f51,f4719]) ).
fof(f4950,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4949]) ).
fof(f4949,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4948,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4948,plain,
( identity = sk_c10
| identity = sk_c3
| ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4947,f4854]) ).
fof(f4947,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4946,f658]) ).
fof(f4946,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f49,f4719]) ).
fof(f4945,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4944]) ).
fof(f4944,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(global_subsumption,[],[f4943,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4943,plain,
( identity = sk_c3
| sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4942,f658]) ).
fof(f4942,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4293,f4719]) ).
fof(f4293,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f48,f2030]) ).
fof(f4941,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4940]) ).
fof(f4940,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4939,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4939,plain,
( identity = sk_c3
| sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4938,f658]) ).
fof(f4938,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f46,f4719]) ).
fof(f4937,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4936,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f4935,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4935,plain,
( identity = sk_c3
| sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4934,f658]) ).
fof(f4934,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f44,f4719]) ).
fof(f4933,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4932]) ).
fof(f4932,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25,f4931]) ).
fof(f4930,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4929]) ).
fof(f4929,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868,f25]) ).
fof(f4928,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4927]) ).
fof(f4927,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1672,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868]) ).
fof(f4926,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4925]) ).
fof(f4925,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1688,f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868]) ).
fof(f4924,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4923]) ).
fof(f4923,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884,f4868]) ).
fof(f4922,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4921]) ).
fof(f4921,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891,f4884]) ).
fof(f4920,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4919]) ).
fof(f4919,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913,f4891]) ).
fof(f4918,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f4917]) ).
fof(f4917,plain,
( $false
| spl0_2
| spl0_3 ),
inference(global_subsumption,[],[f1,f2,f5,f3,f103,f452,f67,f28,f27,f18,f13,f11,f9,f8,f6,f4,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f48,f38,f58,f47,f37,f57,f54,f55,f63,f61,f59,f56,f62,f60,f4452,f4453,f4455,f4456,f4475,f4476,f4482,f4487,f74,f35,f39,f42,f40,f43,f41,f36,f34,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f45,f52,f50,f53,f51,f49,f46,f44,f15,f25,f24,f26,f29,f31,f33,f32,f30,f23,f21,f19,f16,f14,f22,f20,f683,f4848,f4850,f4851,f4852,f4857,f4855,f4856,f4858,f4859,f4867,f4863,f4864,f4849,f4874,f4854,f4890,f4913]) ).
fof(f4916,plain,
( ~ spl0_2
| spl0_3
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4915]) ).
fof(f4915,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_9 ),
inference(subsumption_resolution,[],[f4914,f2055]) ).
fof(f2055,plain,
( identity != sk_c11
| spl0_9 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f4914,plain,
( identity = sk_c11
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f4913,f4736]) ).
fof(f4699,plain,
( spl0_6
| spl0_6
| spl0_5
| spl0_5
| spl0_5
| spl0_7
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4581,f2054,f2050,f682,f73,f69,f1973,f1967,f1967,f1967,f1970,f1970]) ).
fof(f4581,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(identity,X5)
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f71,f658,f661,f659,f657,f668,f665,f674,f676,f448,f678,f17,f684,f691,f692,f696,f695,f697,f702,f690,f703,f706,f699,f711,f700,f713,f716,f708,f718,f667,f767,f768,f763,f777,f774,f780,f779,f787,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1527,f1511,f1629,f1995,f1480,f1999,f2001,f48,f38,f2012,f58,f47,f37,f2019,f57,f54,f44,f45,f55,f2056,f2071,f2064,f2072,f2073,f2074,f2068,f2070,f2062,f2085,f2086,f2094,f2098,f2091,f2092,f2093,f52,f50,f2002,f53,f51,f49,f46,f63,f61,f59,f56,f1985,f1983,f1982,f62,f60,f2052,f4351,f4352,f4365,f4366,f4356,f4357,f4367,f4364,f1512,f1515,f1650,f1986,f1992,f815,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f4458,f4460,f4465,f4467,f4469,f2009,f2010,f2011,f2014,f2058,f40,f4475,f42,f4476,f4478,f4480,f814,f39,f4482,f2059,f4485,f1692,f1691,f1676,f1675,f2004,f2003,f1351,f1343,f1241,f1240,f1225,f1224,f1165,f1162,f35,f4487,f1688,f1687,f1686,f1672,f1671,f4486,f74,f1670,f4508,f4509,f4510,f4524,f4529,f4517,f4518,f4520,f4526,f4532,f4533,f4537,f4531,f4542,f4543,f4553,f4547,f4548,f4580]) ).
fof(f4580,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != sk_c11
| identity != multiply(identity,X5)
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f4579]) ).
fof(f4579,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != sk_c11
| identity != multiply(identity,X5)
| identity != sk_c11
| identity != inverse(X11)
| identity != inverse(X3)
| identity != inverse(X8)
| identity != inverse(X5)
| identity != multiply(X11,identity)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X8,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X3,identity) )
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2002,f4508]) ).
fof(f4548,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f1193,f4531]) ).
fof(f4547,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f1187,f4531]) ).
fof(f4553,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4546,f1219]) ).
fof(f4546,plain,
( identity = multiply(inverse(inverse(sk_c11)),sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f1074,f4531]) ).
fof(f4543,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f103,f4531]) ).
fof(f4542,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f2,f4531]) ).
fof(f4531,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f684,f4526]) ).
fof(f4537,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4534,f787]) ).
fof(f4534,plain,
( identity = multiply(inverse(sk_c10),sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f697,f4526]) ).
fof(f4533,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f691,f4526]) ).
fof(f4532,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f690,f4526]) ).
fof(f4526,plain,
( sk_c11 = sk_c1
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4514,f718]) ).
fof(f4514,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f695,f4508]) ).
fof(f4520,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f787,f4508]) ).
fof(f4518,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f763,f4508]) ).
fof(f4517,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f708,f4508]) ).
fof(f4529,plain,
( sk_c11 = sk_c1
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4516,f449]) ).
fof(f4516,plain,
( sk_c1 = multiply(inverse(inverse(sk_c11)),identity)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f700,f4508]) ).
fof(f4524,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4512,f1219]) ).
fof(f4512,plain,
( identity = multiply(inverse(inverse(sk_c11)),sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f665,f4508]) ).
fof(f4510,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f658,f4508]) ).
fof(f4509,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f657,f4508]) ).
fof(f4508,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4507,f718]) ).
fof(f4507,plain,
( sk_c10 = multiply(sk_c11,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4452,f4486]) ).
fof(f1670,plain,
( identity = inverse(identity)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1535,f691]) ).
fof(f1535,plain,
( identity = inverse(multiply(sk_c11,sk_c1))
| ~ spl0_3 ),
inference(superposition,[],[f1350,f690]) ).
fof(f4486,plain,
( identity = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_8 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f71,f658,f661,f659,f657,f668,f665,f674,f676,f448,f678,f17,f684,f691,f692,f696,f695,f697,f702,f690,f703,f706,f699,f711,f700,f713,f716,f708,f718,f667,f767,f768,f763,f777,f774,f780,f779,f787,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1688,f1687,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f1999,f2001,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f48,f38,f2012,f58,f47,f37,f2019,f57,f1686,f1672,f1671,f1670,f54,f44,f45,f35,f55,f74,f52,f50,f2002,f53,f51,f49,f46,f63,f61,f59,f56,f1985,f1983,f1982,f62,f60,f2052,f4351,f4352,f4365,f4366,f4356,f4357,f4367,f4364,f1512,f1515,f1650,f1986,f1992,f815,f34,f4452,f36,f4453,f41,f4455,f43,f4456,f4458,f4460,f4465,f4467,f4469,f2009,f2010,f2011,f2014,f2058,f40,f4475,f42,f4476,f4478,f4480,f814,f39,f4482,f2059,f4485]) ).
fof(f1671,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1536,f763]) ).
fof(f1536,plain,
( identity = inverse(multiply(sk_c11,sk_c10))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1350,f708]) ).
fof(f1686,plain,
( identity = inverse(identity)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1551,f691]) ).
fof(f1551,plain,
( identity = inverse(multiply(sk_c11,sk_c1))
| ~ spl0_3 ),
inference(superposition,[],[f690,f1350]) ).
fof(f1687,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1552,f763]) ).
fof(f1552,plain,
( identity = inverse(multiply(sk_c11,sk_c10))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f708,f1350]) ).
fof(f4485,plain,
( identity = sk_c3
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4484,f658]) ).
fof(f4484,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f45,f4364]) ).
fof(f2059,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c5 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f25,f779]) ).
fof(f814,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f30,f779]) ).
fof(f4480,plain,
( identity = sk_c3
| sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4479,f658]) ).
fof(f4479,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f52,f4364]) ).
fof(f4478,plain,
( identity = sk_c3
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4477,f658]) ).
fof(f4477,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c8 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f50,f4364]) ).
fof(f2058,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f24,f779]) ).
fof(f2014,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f26,f779]) ).
fof(f2011,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f29,f779]) ).
fof(f2010,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f31,f779]) ).
fof(f2009,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f33,f779]) ).
fof(f4469,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4468,f658]) ).
fof(f4468,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f53,f4364]) ).
fof(f4467,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4466,f658]) ).
fof(f4466,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f51,f4364]) ).
fof(f4465,plain,
( identity = sk_c3
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4464,f658]) ).
fof(f4464,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f49,f4364]) ).
fof(f4460,plain,
( identity = sk_c3
| sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4459,f658]) ).
fof(f4459,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f46,f4364]) ).
fof(f4458,plain,
( identity = sk_c3
| sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4457,f658]) ).
fof(f4457,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f44,f4364]) ).
fof(f815,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f32,f779]) ).
fof(f1986,plain,
( identity = multiply(sk_c11,multiply(sk_c10,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1652,f787]) ).
fof(f1652,plain,
( identity = multiply(inverse(sk_c10),multiply(sk_c10,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1523,f699]) ).
fof(f1523,plain,
( identity = multiply(inverse(sk_c10),multiply(sk_c1,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f1350,f697]) ).
fof(f1650,plain,
( identity = multiply(sk_c11,multiply(sk_c10,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1522,f699]) ).
fof(f1522,plain,
( identity = multiply(sk_c11,multiply(sk_c1,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f1350,f691]) ).
fof(f4364,plain,
( sk_c10 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4363,f779]) ).
fof(f4363,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4362,f695]) ).
fof(f4367,plain,
( sk_c10 = sk_c2
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4358,f71]) ).
fof(f4358,plain,
( inverse(sk_c11) = sk_c2
| ~ spl0_8 ),
inference(superposition,[],[f1219,f2052]) ).
fof(f4357,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c11,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f1193,f2052]) ).
fof(f4356,plain,
( identity = multiply(sk_c2,sk_c11)
| ~ spl0_8 ),
inference(superposition,[],[f1187,f2052]) ).
fof(f4366,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4355,f1219]) ).
fof(f4355,plain,
( identity = multiply(inverse(inverse(sk_c11)),sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f1074,f2052]) ).
fof(f4365,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,X0)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4354,f71]) ).
fof(f4354,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = multiply(sk_c2,X0)
| ~ spl0_8 ),
inference(superposition,[],[f467,f2052]) ).
fof(f4352,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f103,f2052]) ).
fof(f4351,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f2052]) ).
fof(f1982,plain,
( ! [X0] : sk_c11 = multiply(X0,inverse(multiply(sk_c10,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1711,f718]) ).
fof(f1711,plain,
( ! [X0] : multiply(sk_c11,identity) = multiply(X0,inverse(multiply(sk_c10,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1569,f699]) ).
fof(f1569,plain,
( ! [X0] : multiply(sk_c11,identity) = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_3 ),
inference(superposition,[],[f690,f1350]) ).
fof(f1983,plain,
( ! [X0] : sk_c11 = multiply(X0,inverse(multiply(sk_c10,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1564,f718]) ).
fof(f1564,plain,
( ! [X0] : multiply(sk_c11,identity) = multiply(X0,inverse(multiply(sk_c10,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f708,f1350]) ).
fof(f1985,plain,
( ! [X0] : sk_c10 = multiply(X0,inverse(multiply(sk_c11,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1984,f779]) ).
fof(f1984,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c11,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1563,f695]) ).
fof(f2068,plain,
( ! [X0] : multiply(identity,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f708,f2056]) ).
fof(f2074,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2067,f779]) ).
fof(f2067,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f691,f2056]) ).
fof(f2073,plain,
( ! [X0] : multiply(identity,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2066,f699]) ).
fof(f2066,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f690,f2056]) ).
fof(f2019,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c11 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f27,f779]) ).
fof(f2012,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f28,f779]) ).
fof(f787,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f684,f779]) ).
fof(f779,plain,
( sk_c10 = sk_c1
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f774,f695]) ).
fof(f780,plain,
( sk_c10 = sk_c1
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f695,f774]) ).
fof(f718,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f708,f658]) ).
fof(f708,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f690,f699]) ).
fof(f716,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(inverse(sk_c10)),X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f715,f699]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c10)),X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f714,f1]) ).
fof(f714,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c10)),multiply(identity,X0))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f700]) ).
fof(f713,plain,
( identity = multiply(inverse(inverse(inverse(sk_c10))),sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f103,f700]) ).
fof(f700,plain,
( sk_c1 = multiply(inverse(inverse(sk_c10)),identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f103,f697]) ).
fof(f711,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f709,f684]) ).
fof(f709,plain,
( ! [X0] : multiply(inverse(sk_c1),multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f103,f699]) ).
fof(f699,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f698,f1]) ).
fof(f698,plain,
( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f695]) ).
fof(f706,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f704,f71]) ).
fof(f704,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = multiply(sk_c1,X0)
| ~ spl0_3 ),
inference(superposition,[],[f103,f690]) ).
fof(f703,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f657,f690]) ).
fof(f690,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f103,f684]) ).
fof(f702,plain,
( ! [X0] : multiply(inverse(sk_c10),multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f701,f1]) ).
fof(f701,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c10),multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f697]) ).
fof(f697,plain,
( identity = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f103,f695]) ).
fof(f695,plain,
( sk_c1 = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f693,f71]) ).
fof(f693,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_3 ),
inference(superposition,[],[f103,f691]) ).
fof(f696,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f694,f1]) ).
fof(f694,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f691]) ).
fof(f692,plain,
( sk_c1 = multiply(sk_c10,identity)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f657,f691]) ).
fof(f691,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_3 ),
inference(superposition,[],[f2,f684]) ).
fof(f684,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f4578,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4577]) ).
fof(f4577,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f4576,f2055]) ).
fof(f4576,plain,
( identity = sk_c11
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4570,f2]) ).
fof(f4570,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f103,f4521]) ).
fof(f4521,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f4286,f4508]) ).
fof(f4286,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f4285]) ).
fof(f4285,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2012,f2030]) ).
fof(f4574,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4573]) ).
fof(f4573,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f4572,f2055]) ).
fof(f4572,plain,
( identity = sk_c11
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4568,f658]) ).
fof(f4568,plain,
( sk_c11 = multiply(sk_c10,sk_c11)
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f657,f4521]) ).
fof(f4450,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f4449]) ).
fof(f4449,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f4448,f2055]) ).
fof(f4448,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f4447,f4383]) ).
fof(f4383,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f4382,f658]) ).
fof(f4382,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f4277,f4364]) ).
fof(f4277,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f77,f3,f106,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f483,f664,f662,f448,f678,f17,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1886,f1885,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1740,f1731,f1729,f1980,f1981,f1692,f1691,f1685,f1676,f1675,f1674,f1673,f1527,f1988,f1520,f1990,f1991,f1517,f1511,f1632,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f53,f51,f49,f48,f46,f2007,f43,f41,f38,f36,f2008,f63,f61,f59,f58,f56,f50,f47,f42,f40,f37,f62,f60,f57,f2018,f54,f34,f44,f45,f35,f55,f2055,f1689,f1875,f1790,f1876,f1040,f1690,f75,f2077,f2078,f2083,f1669,f2082,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2393,f2396,f2310,f2548,f2558,f2526,f2543,f2546,f2367,f2703,f2694,f2741,f2742,f2385,f2775,f2767,f2776,f2778,f2772,f2513,f2974,f2993,f2983,f3032,f2535,f3080,f3085,f3076,f2690,f3290,f3350,f3321,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f39,f4274,f3084,f3073,f3068,f2992,f2777,f2770,f2765,f2702,f2545,f2542,f2395,f2392,f2980,f52]) ).
fof(f4274,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f77,f3,f106,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f483,f664,f662,f448,f678,f17,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1886,f1885,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1740,f1731,f1729,f1980,f1981,f1692,f1691,f1685,f1676,f1675,f1674,f1673,f1527,f1988,f1520,f1990,f1991,f1517,f1511,f1632,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f53,f51,f49,f48,f46,f2007,f43,f41,f38,f36,f2008,f63,f61,f59,f58,f56,f52,f50,f47,f42,f40,f37,f62,f60,f57,f2018,f54,f34,f44,f45,f35,f55,f2055,f1689,f1875,f1790,f1876,f1040,f1690,f75,f2077,f2078,f2083,f1669,f2082,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2392,f2393,f2395,f2396,f2310,f2548,f2558,f2526,f2542,f2543,f2545,f2546,f2367,f2702,f2703,f2694,f2741,f2742,f2385,f2765,f2775,f2767,f2776,f2777,f2770,f2778,f2772,f2513,f2974,f2980,f2992,f2993,f2983,f3032,f2535,f3068,f3080,f3084,f3073,f3085,f3076,f2690,f3290,f3350,f3321,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f39]) ).
fof(f4447,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_9 ),
inference(forward_demodulation,[],[f4374,f4276]) ).
fof(f4276,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_9 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f77,f3,f106,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f71,f658,f661,f483,f664,f659,f657,f668,f662,f665,f674,f676,f448,f678,f17,f684,f691,f692,f696,f695,f697,f702,f690,f703,f706,f699,f711,f700,f713,f716,f708,f718,f460,f742,f743,f745,f746,f739,f751,f752,f740,f748,f741,f667,f767,f768,f763,f777,f774,f780,f779,f787,f671,f797,f673,f989,f988,f994,f992,f995,f997,f795,f1011,f1013,f987,f1027,f1028,f1022,f1041,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1708,f1716,f1718,f1720,f1721,f1707,f1759,f1764,f1737,f1789,f1797,f1752,f1753,f1755,f1756,f1709,f1801,f1839,f1846,f1816,f1828,f1883,f1832,f1833,f1835,f1836,f1724,f1896,f1939,f1905,f1906,f1900,f1947,f1943,f1944,f1747,f1951,f1961,f1953,f1962,f1963,f1956,f1964,f1958,f1976,f1898,f1897,f1886,f1885,f1878,f1824,f1823,f1862,f1819,f1853,f1810,f1808,f1977,f1978,f1979,f1792,f1745,f1744,f1740,f1731,f1729,f1980,f1981,f1982,f1983,f1985,f1692,f1691,f1688,f1687,f1685,f1676,f1675,f1674,f1673,f1527,f1986,f1650,f1988,f1520,f1990,f1991,f1517,f1515,f1992,f1512,f1511,f1632,f1629,f1995,f1480,f1351,f1343,f1999,f2001,f2002,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f53,f51,f49,f48,f46,f2007,f43,f41,f38,f36,f2008,f2009,f2010,f2011,f2012,f2014,f2017,f63,f61,f59,f58,f56,f52,f50,f47,f42,f40,f37,f815,f2019,f62,f60,f57,f2018,f1686,f1672,f1671,f1670,f54,f34,f44,f2058,f45,f35,f2059,f55,f2055,f1689,f1875,f1790,f1876,f1040,f1690,f75,f2077,f2078,f2083,f1669,f2082,f2153,f2154,f2162,f2158,f2159,f2075,f2172,f2080,f2220,f2076,f2081,f2268,f2398,f2405,f2378,f2393,f2396,f2310,f2548,f2558,f2526,f2543,f2546,f2367,f2703,f2694,f2741,f2742,f2385,f2775,f2767,f2776,f2778,f2772,f2513,f2974,f2980,f2993,f2983,f3032,f2535,f3080,f3085,f3076,f2690,f3290,f3350,f3321,f3027,f2737,f2591,f2435,f3320,f3035,f2745,f39,f4274,f3084,f3073,f3068,f2992,f2777,f2770,f2765,f2702,f2545,f2542,f2395,f2392,f814]) ).
fof(f2017,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| identity = sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f976,f779]) ).
fof(f976,plain,
( identity = sk_c11
| sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f24,f739]) ).
fof(f1745,plain,
( multiply(sk_c11,sk_c5) = inverse(multiply(sk_c4,sk_c10))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f708,f1707]) ).
fof(f1792,plain,
( multiply(sk_c11,sk_c5) = inverse(multiply(sk_c4,sk_c10))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1750,f779]) ).
fof(f1750,plain,
( multiply(sk_c11,sk_c5) = inverse(multiply(sk_c4,sk_c1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f690,f1707]) ).
fof(f1824,plain,
( multiply(sk_c11,sk_c4) = inverse(multiply(sk_c5,sk_c10))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f708,f1709]) ).
fof(f1878,plain,
( multiply(sk_c11,sk_c4) = inverse(multiply(sk_c5,sk_c10))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1830,f779]) ).
fof(f1830,plain,
( multiply(sk_c11,sk_c4) = inverse(multiply(sk_c5,sk_c1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f690,f1709]) ).
fof(f1898,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c10),sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1724,f787]) ).
fof(f1976,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c10),sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1901,f779]) ).
fof(f1901,plain,
( sk_c5 = multiply(multiply(sk_c5,sk_c1),sk_c11)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1724,f684]) ).
fof(f4374,plain,
( sk_c3 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_2
| spl0_9 ),
inference(forward_demodulation,[],[f4371,f71]) ).
fof(f4371,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_2
| spl0_9 ),
inference(superposition,[],[f103,f4274]) ).
fof(f4273,plain,
( spl0_6
| spl0_6
| spl0_5
| spl0_5
| spl0_5
| spl0_7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4248,f2054,f73,f69,f1973,f1967,f1967,f1967,f1970,f1970]) ).
fof(f2061,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2060]) ).
fof(f2060,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f25,f1,f2,f5,f3,f103,f452,f67,f33,f31,f29,f28,f26,f24,f32,f30,f27,f23,f21,f19,f18,f16,f14,f13,f11,f9,f8,f6,f4,f22,f20,f12,f10,f7,f448,f678,f17,f449,f1081,f1074,f1163,f1176,f467,f1199,f1200,f1202,f1207,f1188,f1268,f1235,f1280,f1219,f1330,f1331,f1187,f1392,f1366,f1193,f1431,f1446,f1350,f1488,f1533,f1684,f1716,f1718,f1720,f1721,f1692,f1691,f1676,f1675,f1527,f1511,f1629,f1995,f1480,f1351,f1343,f2003,f1241,f1240,f2004,f1225,f1224,f1165,f1162,f53,f51,f49,f48,f46,f43,f41,f39,f38,f36,f63,f61,f59,f58,f56,f52,f50,f47,f42,f40,f37,f62,f60,f57,f54,f34,f44,f45,f35,f55,f2051,f74]) ).
fof(f2051,plain,
( sk_c11 != inverse(sk_c2)
| spl0_8 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2057,plain,
( spl0_8
| spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2018,f73,f2054,f2050]) ).
fof(f1975,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_5
| spl0_6
| spl0_5
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1475,f686,f682,f69,f1967,f1970,f1967,f1973,f1970,f1967]) ).
fof(f1475,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X3,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f1474,f1187]) ).
fof(f1474,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X3,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f1305,f1187]) ).
fof(f1305,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X6,inverse(X6))
| identity != multiply(X3,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1304,f828]) ).
fof(f828,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f827,f822]) ).
fof(f822,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f821,f805]) ).
fof(f805,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f804,f779]) ).
fof(f804,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| spl0_4 ),
inference(subsumption_resolution,[],[f27,f687]) ).
fof(f687,plain,
( sk_c11 != inverse(sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f821,plain,
( sk_c3 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f818,f71]) ).
fof(f818,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c10)
| spl0_4 ),
inference(superposition,[],[f103,f816]) ).
fof(f816,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| spl0_4 ),
inference(subsumption_resolution,[],[f37,f687]) ).
fof(f827,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f826,f658]) ).
fof(f826,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f825,f779]) ).
fof(f825,plain,
( sk_c3 = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f824,f733]) ).
fof(f733,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f732,f695]) ).
fof(f732,plain,
( sk_c2 = multiply(sk_c10,identity)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f729,f71]) ).
fof(f729,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| spl0_4 ),
inference(superposition,[],[f103,f727]) ).
fof(f727,plain,
( identity = multiply(sk_c11,sk_c2)
| spl0_4 ),
inference(superposition,[],[f2,f725]) ).
fof(f725,plain,
( sk_c11 = inverse(sk_c2)
| spl0_4 ),
inference(subsumption_resolution,[],[f57,f687]) ).
fof(f824,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| spl0_4 ),
inference(subsumption_resolution,[],[f47,f687]) ).
fof(f1304,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X3,identity)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1303,f828]) ).
fof(f1303,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(X3,sk_c11)
| identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1302,f831]) ).
fof(f831,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f830,f718]) ).
fof(f830,plain,
( sk_c10 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f816,f827]) ).
fof(f1302,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1301,f828]) ).
fof(f1301,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(inverse(X6),sk_c11)
| identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1300,f831]) ).
fof(f1300,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X8,identity)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1299,f828]) ).
fof(f1299,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(X8,sk_c11)
| identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1298,f831]) ).
fof(f1298,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1297,f828]) ).
fof(f1297,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(X9,inverse(X9))
| identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1296,f831]) ).
fof(f1296,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1295,f828]) ).
fof(f1295,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1294,f831]) ).
fof(f1294,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != multiply(identity,X5)
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1293,f1188]) ).
fof(f1293,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != multiply(identity,multiply(X5,identity))
| identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1292,f828]) ).
fof(f1292,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1291,f828]) ).
fof(f1291,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1290,f831]) ).
fof(f1290,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != multiply(inverse(X9),identity)
| identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1289,f828]) ).
fof(f1289,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1288,f828]) ).
fof(f1288,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1287,f831]) ).
fof(f1287,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c10 != multiply(X11,identity)
| identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1286,f828]) ).
fof(f1286,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != inverse(X5)
| identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1285,f828]) ).
fof(f1285,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != inverse(X8)
| identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1284,f828]) ).
fof(f1284,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != inverse(X3)
| identity != inverse(X11)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1283,f828]) ).
fof(f1283,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( identity != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1282,f828]) ).
fof(f1282,plain,
( ! [X3,X11,X8,X6,X9,X5] :
( sk_c11 != inverse(X11)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X11,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f1281,f831]) ).
fof(f689,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f686,f682]) ).
fof(f628,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f626,f219]) ).
fof(f219,plain,
( sk_c11 = sk_c10
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f218,f114]) ).
fof(f114,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| spl0_1 ),
inference(superposition,[],[f107,f86]) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f8,f70]) ).
fof(f70,plain,
( inverse(sk_c11) != sk_c10
| spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f99,f1]) ).
fof(f99,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( identity = multiply(sk_c11,sk_c6)
| spl0_1 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c11 = inverse(sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f7,f70]) ).
fof(f218,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f184,f204]) ).
fof(f204,plain,
( sk_c11 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f198,f85]) ).
fof(f85,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f6,f70]) ).
fof(f198,plain,
( sk_c5 = multiply(sk_c5,sk_c10)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f192]) ).
fof(f192,plain,
( sk_c5 = sk_c8
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f190,f162]) ).
fof(f162,plain,
( sk_c5 = multiply(sk_c11,sk_c10)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f157,f110]) ).
fof(f110,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f106,f84]) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f4,f70]) ).
fof(f157,plain,
( multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10)
| spl0_1 ),
inference(superposition,[],[f95,f122]) ).
fof(f122,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| spl0_1 ),
inference(superposition,[],[f109,f89]) ).
fof(f89,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f70]) ).
fof(f109,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f102,f1]) ).
fof(f102,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f83]) ).
fof(f83,plain,
( identity = multiply(sk_c10,sk_c9)
| spl0_1 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c10 = inverse(sk_c9)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f70]) ).
fof(f95,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c10,X0))
| spl0_1 ),
inference(superposition,[],[f3,f85]) ).
fof(f190,plain,
( sk_c8 = multiply(sk_c11,sk_c10)
| spl0_1 ),
inference(superposition,[],[f107,f179]) ).
fof(f179,plain,
( sk_c10 = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(forward_demodulation,[],[f173,f114]) ).
fof(f173,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c6,sk_c8)
| spl0_1 ),
inference(superposition,[],[f96,f130]) ).
fof(f130,plain,
( sk_c8 = multiply(sk_c10,sk_c11)
| spl0_1 ),
inference(forward_demodulation,[],[f127,f118]) ).
fof(f127,plain,
( multiply(sk_c8,sk_c10) = multiply(sk_c10,sk_c11)
| spl0_1 ),
inference(superposition,[],[f93,f114]) ).
fof(f93,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| spl0_1 ),
inference(superposition,[],[f3,f88]) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c8,sk_c11)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f70]) ).
fof(f96,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| spl0_1 ),
inference(superposition,[],[f3,f86]) ).
fof(f118,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| spl0_1 ),
inference(superposition,[],[f108,f87]) ).
fof(f87,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f9,f70]) ).
fof(f108,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f100,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f81]) ).
fof(f81,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f10,f70]) ).
fof(f184,plain,
( sk_c11 = multiply(sk_c11,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f107,f180]) ).
fof(f180,plain,
( sk_c5 = multiply(sk_c6,sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f174,f162]) ).
fof(f174,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c6,sk_c11)
| spl0_1 ),
inference(superposition,[],[f96,f122]) ).
fof(f626,plain,
( sk_c11 != sk_c10
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f606,f382]) ).
fof(f382,plain,
( sk_c11 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f78,f363]) ).
fof(f363,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f359,f79]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f356,f204]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f106,f338]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f254,f107]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c11,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f98,f204]) ).
fof(f98,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f84]) ).
fof(f606,plain,
( sk_c10 != inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f70,f560]) ).
fof(f560,plain,
( identity = sk_c11
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f559,f2]) ).
fof(f559,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f558,f204]) ).
fof(f558,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f557,f192]) ).
fof(f557,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c11)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f475,f219]) ).
fof(f475,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c10)
| spl0_1 ),
inference(superposition,[],[f103,f88]) ).
fof(f76,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f73,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 04:38:07 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.34 % (5356)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.35 % (5359)WARNING: value z3 for option sas not known
% 0.19/0.36 % (5359)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)
% 0.19/0.36 % (5360)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.36 % (5357)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36 % (5358)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.36 % (5361)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)
% 0.19/0.36 % (5362)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)
% 0.19/0.36 % (5363)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)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [3]
% 0.19/0.40 TRYING [5]
% 0.19/0.41 TRYING [4]
% 0.19/0.45 TRYING [6]
% 0.19/0.50 % (5359)First to succeed.
% 0.19/0.51 % (5359)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5356"
% 0.19/0.52 % (5359)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (5359)------------------------------
% 0.19/0.52 % (5359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.52 % (5359)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (5359)Memory used [KB]: 2565
% 0.19/0.52 % (5359)Time elapsed: 0.160 s
% 0.19/0.52 % (5359)Instructions burned: 308 (million)
% 0.19/0.52 % (5356)Success in time 0.176 s
%------------------------------------------------------------------------------