TSTP Solution File: GRP348-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:04:56 EDT 2024
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of formulae : 1150 ( 158 unt; 0 def)
% Number of atoms : 3981 (1155 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 5137 (2306 ~;2822 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 473 ( 473 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3063,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f283,f316,f993,f1063,f1144,f1165,f1186,f1232,f2123,f2362,f2364,f2375,f2378,f2380,f2382,f2384,f2386,f2388,f2390,f2392,f2394,f2396,f2398,f2400,f2402,f2404,f2406,f2408,f2410,f2414,f2417,f2420,f2424,f2427,f2429,f2431,f2434,f2436,f2439,f2443,f2447,f2452,f2456,f2460,f2465,f2467,f2469,f2473,f2475,f2478,f2480,f2483,f2485,f2489,f2492,f2494,f2496,f2498,f2500,f2503,f2505,f2509,f2512,f2514,f2516,f2519,f2521,f2524,f2526,f2538,f2540,f2542,f2544,f2546,f2548,f2550,f2552,f2565,f2698,f2726,f2728,f2732,f2735,f2738,f2744,f2752,f2755,f2757,f2759,f2761,f2763,f2765,f2767,f2769,f2771,f2773,f2775,f2777,f2779,f2781,f2783,f2785,f2787,f2791,f2794,f2810,f2921,f2927,f2931,f2935,f2937,f2939,f2941,f2947,f2953,f3002,f3004,f3012,f3019,f3023,f3028,f3033,f3036,f3038,f3040,f3042,f3044,f3046,f3060,f3062]) ).
fof(f3062,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3061]) ).
fof(f3061,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f315,f1025,f1026,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3034,f3031,f2981,f3052,f3058,f310]) ).
fof(f310,plain,
( sk_c5 != inverse(sk_c2)
| spl0_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl0_3
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3058,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f3057,f1138]) ).
fof(f3057,plain,
( identity = sk_c5
| sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3056,f1058]) ).
fof(f3056,plain,
( sk_c5 = sk_c6
| sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3055,f1]) ).
fof(f3055,plain,
( sk_c6 = multiply(identity,sk_c5)
| sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f19,f2983]) ).
fof(f3052,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f3051,f1138]) ).
fof(f3051,plain,
( identity = sk_c5
| sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3050,f1058]) ).
fof(f3050,plain,
( sk_c5 = sk_c6
| sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3049,f1]) ).
fof(f3049,plain,
( sk_c6 = multiply(identity,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f23,f2983]) ).
fof(f2981,plain,
( ! [X3,X4,X5] :
( sk_c5 != sk_c4
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1008,f1058]) ).
fof(f3031,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f3030,f1138]) ).
fof(f3030,plain,
( identity = sk_c5
| identity = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3029,f1]) ).
fof(f3029,plain,
( identity = multiply(identity,sk_c5)
| identity = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2968,f2983]) ).
fof(f3034,plain,
( identity = multiply(identity,sk_c5)
| sk_c5 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2965,f2983]) ).
fof(f2983,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1105,f1509]) ).
fof(f1105,plain,
( sk_c3 = inverse(identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1029,f1058]) ).
fof(f1138,plain,
( identity != sk_c5
| spl0_8 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1137,plain,
( spl0_8
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2986,plain,
( identity = inverse(sk_c3)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f315,f1058]) ).
fof(f2985,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2984,f1509]) ).
fof(f2984,plain,
( sk_c3 = inverse(identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1029,f1058]) ).
fof(f1953,plain,
( identity = sk_c3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1952,f803]) ).
fof(f1952,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1951,f1]) ).
fof(f1951,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(identity,X0)))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1890,f1058]) ).
fof(f2979,plain,
( sk_c5 = sk_c4
| identity = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2978,f360]) ).
fof(f2978,plain,
( sk_c4 = multiply(sk_c5,identity)
| identity = inverse(sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2977,f1058]) ).
fof(f2977,plain,
( identity = inverse(sk_c3)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f6,f1058]) ).
fof(f2976,plain,
( identity = multiply(sk_c1,sk_c5)
| identity = inverse(sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2975,f1058]) ).
fof(f2975,plain,
( identity = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f14,f1058]) ).
fof(f2974,plain,
( identity = inverse(sk_c3)
| identity = inverse(sk_c1)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2973,f1058]) ).
fof(f2973,plain,
( identity = inverse(sk_c1)
| sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f10,f1058]) ).
fof(f2971,plain,
( identity = multiply(sk_c3,sk_c5)
| identity = inverse(sk_c1)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2970,f1058]) ).
fof(f2970,plain,
( identity = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f11,f1058]) ).
fof(f2968,plain,
( identity = multiply(sk_c3,sk_c5)
| identity = multiply(sk_c1,sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2967,f1058]) ).
fof(f2967,plain,
( identity = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f15,f1058]) ).
fof(f2965,plain,
( sk_c5 = sk_c4
| identity = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2964,f360]) ).
fof(f2964,plain,
( sk_c4 = multiply(sk_c5,identity)
| identity = multiply(sk_c3,sk_c5)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2963,f1058]) ).
fof(f2963,plain,
( identity = multiply(sk_c3,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7,f1058]) ).
fof(f1058,plain,
( identity = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1056,plain,
( spl0_6
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1008,plain,
( ! [X3,X4,X5] :
( sk_c5 != sk_c4
| identity != sk_c6
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f1007]) ).
fof(f1020,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f13,f351]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c3,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f1021,plain,
( identity = sk_c6
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1 ),
inference(forward_demodulation,[],[f5,f351]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f2800,plain,
( identity = sk_c6
| sk_c6 = inverse(sk_c1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f9,f351]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f1509,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1415,f285]) ).
fof(f1415,plain,
( identity = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_1 ),
inference(superposition,[],[f957,f284]) ).
fof(f1600,plain,
( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c4,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f353,f1548]) ).
fof(f1714,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f284]) ).
fof(f1735,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c4) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1650,f832]) ).
fof(f1827,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c4) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1733,f28]) ).
fof(f1887,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1552,f832]) ).
fof(f1896,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1552,f294]) ).
fof(f1929,plain,
( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c4))
| ~ spl0_1 ),
inference(superposition,[],[f284,f1552]) ).
fof(f2043,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f1654,f353]) ).
fof(f2576,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1911,f832]) ).
fof(f1911,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1552,f292]) ).
fof(f1712,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f352]) ).
fof(f2575,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2574,f832]) ).
fof(f2574,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1708,f835]) ).
fof(f1708,plain,
( inverse(inverse(inverse(sk_c5))) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f301]) ).
fof(f2573,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1706,f832]) ).
fof(f1706,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f286]) ).
fof(f2572,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2571,f832]) ).
fof(f2571,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1585,f835]) ).
fof(f1585,plain,
( inverse(inverse(inverse(sk_c5))) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1548,f292]) ).
fof(f2570,plain,
( sk_c4 = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1584,f832]) ).
fof(f1584,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1548,f285]) ).
fof(f2569,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1405,f835]) ).
fof(f1405,plain,
( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f957,f292]) ).
fof(f1404,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f957,f285]) ).
fof(f1401,plain,
( identity = multiply(sk_c4,multiply(sk_c5,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f957,f351]) ).
fof(f2041,plain,
( ! [X0] : inverse(multiply(sk_c4,X0)) = multiply(inverse(X0),sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f1654,f284]) ).
fof(f1927,plain,
( ! [X0] : multiply(sk_c4,X0) = inverse(multiply(inverse(X0),sk_c5))
| ~ spl0_1 ),
inference(superposition,[],[f353,f1552]) ).
fof(f1889,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1552,f28]) ).
fof(f1825,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c5) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1733,f832]) ).
fof(f1737,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c5) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1650,f28]) ).
fof(f1716,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f353]) ).
fof(f1602,plain,
( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c5,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f284,f1548]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c3,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f1023,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f315]) ).
fof(f2090,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2039,f2]) ).
fof(f2039,plain,
( inverse(identity) = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f1654,f352]) ).
fof(f2088,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2037,f2]) ).
fof(f2037,plain,
( inverse(identity) = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f1654,f360]) ).
fof(f2086,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2085,f2]) ).
fof(f2085,plain,
( inverse(identity) = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2084,f832]) ).
fof(f2084,plain,
( inverse(identity) = multiply(inverse(sk_c4),inverse(sk_c5))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2035,f835]) ).
fof(f2035,plain,
( inverse(identity) = multiply(inverse(sk_c4),inverse(inverse(inverse(sk_c5))))
| ~ spl0_1 ),
inference(superposition,[],[f1654,f301]) ).
fof(f2080,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2079,f2]) ).
fof(f2079,plain,
( inverse(identity) = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2033,f832]) ).
fof(f2033,plain,
( inverse(identity) = multiply(inverse(sk_c4),inverse(sk_c5))
| ~ spl0_1 ),
inference(superposition,[],[f1654,f286]) ).
fof(f1523,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1429,f351]) ).
fof(f1429,plain,
( identity = inverse(multiply(sk_c4,sk_c5))
| ~ spl0_1 ),
inference(superposition,[],[f353,f957]) ).
fof(f1521,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1427,f285]) ).
fof(f1427,plain,
( identity = inverse(multiply(sk_c5,sk_c4))
| ~ spl0_1 ),
inference(superposition,[],[f284,f957]) ).
fof(f1511,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1417,f351]) ).
fof(f1417,plain,
( identity = inverse(multiply(sk_c4,sk_c5))
| ~ spl0_1 ),
inference(superposition,[],[f957,f353]) ).
fof(f2437,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1581,f28]) ).
fof(f1581,plain,
( inverse(sk_c4) = multiply(sk_c5,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1548,f351]) ).
fof(f1710,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f1650,f360]) ).
fof(f19,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f2251,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c6) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1733,f1029]) ).
fof(f2250,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c3) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1650,f1029]) ).
fof(f2249,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c3,X0)))
| ~ spl0_4 ),
inference(superposition,[],[f1552,f1029]) ).
fof(f2247,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f807,f1029]) ).
fof(f2246,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f803,f1029]) ).
fof(f2256,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2245,f835]) ).
fof(f2245,plain,
( identity = multiply(inverse(inverse(sk_c3)),sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f723,f1029]) ).
fof(f2242,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f48,f1029]) ).
fof(f2241,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f1029]) ).
fof(f1029,plain,
( sk_c3 = inverse(sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f835,f315]) ).
fof(f1028,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f803,f315]) ).
fof(f1030,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1027,f835]) ).
fof(f1027,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f723,f315]) ).
fof(f765,plain,
identity = inverse(identity),
inference(superposition,[],[f723,f188]) ).
fof(f768,plain,
identity = inverse(identity),
inference(superposition,[],[f188,f723]) ).
fof(f836,plain,
identity = inverse(identity),
inference(superposition,[],[f806,f2]) ).
fof(f837,plain,
identity = inverse(identity),
inference(superposition,[],[f806,f187]) ).
fof(f848,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f806]) ).
fof(f849,plain,
identity = inverse(identity),
inference(superposition,[],[f187,f806]) ).
fof(f952,plain,
identity = inverse(identity),
inference(superposition,[],[f803,f1]) ).
fof(f958,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f803]) ).
fof(f998,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f850,f835]) ).
fof(f850,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f723,f806]) ).
fof(f1002,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f838,f835]) ).
fof(f838,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f806,f723]) ).
fof(f1024,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f48,f315]) ).
fof(f1309,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f807,f315]) ).
fof(f1376,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f957,f2]) ).
fof(f2195,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f1378,f835]) ).
fof(f1378,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f957,f723]) ).
fof(f1487,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f1399,f3]) ).
fof(f1399,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f957,f957]) ).
fof(f1400,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f957,f803]) ).
fof(f1410,plain,
! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
inference(superposition,[],[f957,f187]) ).
fof(f1513,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1419,f2]) ).
fof(f1419,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f957,f48]) ).
fof(f1514,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1420,f803]) ).
fof(f1420,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f957,f807]) ).
fof(f1525,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1431,f2]) ).
fof(f1431,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f48,f957]) ).
fof(f1526,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1432,f803]) ).
fof(f1432,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f807,f957]) ).
fof(f1610,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1554,f803]) ).
fof(f1554,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1548,f1]) ).
fof(f2171,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1555,f835]) ).
fof(f1555,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1548,f2]) ).
fof(f2170,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f2169,f835]) ).
fof(f2169,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[],[f1557,f835]) ).
fof(f1557,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1548,f723]) ).
fof(f2166,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f1578,f1548]) ).
fof(f1578,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
inference(superposition,[],[f1548,f957]) ).
fof(f1579,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f1548,f803]) ).
fof(f1590,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f1548,f187]) ).
fof(f1597,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
inference(superposition,[],[f187,f1548]) ).
fof(f1747,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1698,f803]) ).
fof(f1698,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1650,f187]) ).
fof(f1704,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1650,f806]) ).
fof(f2140,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1709,f835]) ).
fof(f1709,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1650,f188]) ).
fof(f1738,plain,
( ! [X0] : multiply(multiply(X0,sk_c3),sk_c6) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1650,f315]) ).
fof(f1828,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c3) = X0
| ~ spl0_4 ),
inference(superposition,[],[f1733,f315]) ).
fof(f2136,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1835,f2]) ).
fof(f1835,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f1733,f187]) ).
fof(f1843,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1733,f806]) ).
fof(f1849,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f806,f1733]) ).
fof(f1890,plain,
( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_4 ),
inference(superposition,[],[f1552,f315]) ).
fof(f1893,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1552,f2]) ).
fof(f2135,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1895,f835]) ).
fof(f1895,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1552,f723]) ).
fof(f2134,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f2133,f835]) ).
fof(f2133,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f1907,f1548]) ).
fof(f1907,plain,
! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
inference(superposition,[],[f1552,f957]) ).
fof(f2132,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1908,f835]) ).
fof(f1908,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
inference(superposition,[],[f1552,f803]) ).
fof(f1915,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f1552,f187]) ).
fof(f1924,plain,
! [X0] : inverse(multiply(inverse(X0),inverse(identity))) = X0,
inference(superposition,[],[f187,f1552]) ).
fof(f2023,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f1654,f187]) ).
fof(f2127,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f2031,f2]) ).
fof(f2031,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f1654,f806]) ).
fof(f2087,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f2036,f803]) ).
fof(f2036,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),inverse(inverse(X0))),
inference(superposition,[],[f1654,f188]) ).
fof(f2069,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1733,f1654]) ).
fof(f2067,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
inference(superposition,[],[f3,f1654]) ).
fof(f2063,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1650,f1654]) ).
fof(f2046,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f1654,f807]) ).
fof(f2045,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1654,f48]) ).
fof(f2030,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
inference(superposition,[],[f1654,f3]) ).
fof(f1654,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1580,f835]) ).
fof(f1580,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1548,f1548]) ).
fof(f1938,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f3,f1552]) ).
fof(f1937,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f807,f1552]) ).
fof(f1935,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
inference(superposition,[],[f3,f1552]) ).
fof(f1934,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f48,f1552]) ).
fof(f1933,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
inference(superposition,[],[f957,f1552]) ).
fof(f1932,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f1548,f1552]) ).
fof(f1919,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
inference(superposition,[],[f1552,f3]) ).
fof(f1910,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f1552,f1552]) ).
fof(f1980,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
inference(forward_demodulation,[],[f1909,f835]) ).
fof(f1909,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
inference(superposition,[],[f1552,f1548]) ).
fof(f1552,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1444,f806]) ).
fof(f1444,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f807,f957]) ).
fof(f1847,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1733]) ).
fof(f1846,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f48,f1733]) ).
fof(f1845,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f957,f1733]) ).
fof(f1844,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f1548,f1733]) ).
fof(f1841,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1733,f3]) ).
fof(f1733,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1650,f835]) ).
fof(f1745,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1650]) ).
fof(f1744,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f48,f1650]) ).
fof(f1743,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f957,f1650]) ).
fof(f1742,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1548,f1650]) ).
fof(f1719,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1650,f807]) ).
fof(f1703,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1650,f3]) ).
fof(f1650,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1576,f835]) ).
fof(f1576,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1548,f48]) ).
fof(f1609,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1548]) ).
fof(f1608,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f807,f1548]) ).
fof(f1606,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1548]) ).
fof(f1605,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f48,f1548]) ).
fof(f1694,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1604,f835]) ).
fof(f1604,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f957,f1548]) ).
fof(f1594,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1548,f3]) ).
fof(f1577,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1548,f807]) ).
fof(f1561,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1548,f3]) ).
fof(f1548,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1441,f806]) ).
fof(f1441,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f48,f957]) ).
fof(f1553,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1445,f3]) ).
fof(f1445,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f957]) ).
fof(f1550,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1549,f3]) ).
fof(f1549,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f1442,f1]) ).
fof(f1442,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f957]) ).
fof(f1520,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1426,f3]) ).
fof(f1426,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f957,f3]) ).
fof(f1414,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f957,f3]) ).
fof(f1382,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f957,f3]) ).
fof(f957,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f803,f3]) ).
fof(f1344,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f807]) ).
fof(f1333,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f807,f3]) ).
fof(f807,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f198,f48]) ).
fof(f832,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f806,f286]) ).
fof(f1026,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c3,X0)
| ~ spl0_4 ),
inference(superposition,[],[f198,f315]) ).
fof(f1025,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f188,f315]) ).
fof(f315,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f720,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f188,f301]) ).
fof(f722,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f301,f188]) ).
fof(f1007,plain,
( ! [X3,X4,X5] :
( sk_c5 != sk_c4
| identity != sk_c6
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1006,f360]) ).
fof(f1006,plain,
( ! [X3,X4,X5] :
( identity != sk_c6
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4)
| sk_c4 != multiply(sk_c5,identity) )
| ~ spl0_1 ),
inference(inner_rewriting,[],[f1005]) ).
fof(f1005,plain,
( ! [X3,X4,X5] :
( identity != sk_c6
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f781,f351]) ).
fof(f781,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4)
| multiply(sk_c5,sk_c6) != sk_c4 )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f24,f28]) ).
fof(f1003,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f834,f835]) ).
fof(f834,plain,
( sk_c4 = inverse(inverse(inverse(sk_c5)))
| ~ spl0_1 ),
inference(superposition,[],[f806,f301]) ).
fof(f877,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f839,f352]) ).
fof(f839,plain,
( inverse(sk_c5) = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f806,f294]) ).
fof(f844,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f286,f806]) ).
fof(f999,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f846,f835]) ).
fof(f846,plain,
( sk_c4 = inverse(inverse(inverse(sk_c5)))
| ~ spl0_1 ),
inference(superposition,[],[f301,f806]) ).
fof(f902,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f851,f352]) ).
fof(f851,plain,
( inverse(sk_c5) = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f294,f806]) ).
fof(f912,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f835,f28]) ).
fof(f978,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f962,f352]) ).
fof(f962,plain,
( inverse(sk_c5) = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f353,f803]) ).
fof(f969,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f803]) ).
fof(f988,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f967,f1]) ).
fof(f967,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f803]) ).
fof(f803,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f198,f2]) ).
fof(f933,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f835]) ).
fof(f932,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f48,f835]) ).
fof(f835,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f806,f188]) ).
fof(f910,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f859,f806]) ).
fof(f859,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f198,f806]) ).
fof(f847,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f188,f806]) ).
fof(f885,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f841,f806]) ).
fof(f841,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f806,f198]) ).
fof(f806,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f198,f188]) ).
fof(f821,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f48,f198]) ).
fof(f820,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f188,f198]) ).
fof(f816,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f48,f198]) ).
fof(f815,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f198]) ).
fof(f198,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f48,f48]) ).
fof(f770,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f767,f1]) ).
fof(f767,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f723]) ).
fof(f766,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f48,f723]) ).
fof(f723,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f48,f188]) ).
fof(f736,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f724,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f188]) ).
fof(f188,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f48,f2]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f395,f1]) ).
fof(f395,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f301]) ).
fof(f394,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f48,f301]) ).
fof(f301,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f48,f292]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f294,f48]) ).
fof(f360,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_1 ),
inference(superposition,[],[f284,f351]) ).
fof(f352,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f294,f286]) ).
fof(f364,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f351]) ).
fof(f363,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f361,f28]) ).
fof(f361,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl0_1 ),
inference(superposition,[],[f48,f351]) ).
fof(f351,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f294,f2]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f48,f294]) ).
fof(f357,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_1 ),
inference(superposition,[],[f286,f294]) ).
fof(f355,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f48,f294]) ).
fof(f354,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f2,f294]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f286]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f305,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f48,f187]) ).
fof(f187,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f48,f1]) ).
fof(f303,plain,
( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f302,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f292]) ).
fof(f292,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f48,f286]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_1 ),
inference(superposition,[],[f48,f284]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f48,f28]) ).
fof(f286,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_1 ),
inference(superposition,[],[f48,f285]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f287,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f285]) ).
fof(f285,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_1 ),
inference(superposition,[],[f2,f28]) ).
fof(f28,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_1
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f4,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f24,axiom,
! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(sk_c4)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4)
| multiply(sk_c5,sk_c6) != sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f190,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f48,f3]) ).
fof(f48,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f41,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
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(f9,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f3060,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3059]) ).
fof(f3059,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f315,f1025,f1026,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f310,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3034,f3031,f2981,f3052,f3058]) ).
fof(f3046,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3045]) ).
fof(f3045,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034,f1061]) ).
fof(f1061,plain,
( sk_c5 != multiply(sk_c4,sk_c4)
| spl0_7 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl0_7
<=> sk_c5 = multiply(sk_c4,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3017,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f3016,f1138]) ).
fof(f3016,plain,
( identity = sk_c5
| sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3015,f1058]) ).
fof(f3015,plain,
( sk_c5 = sk_c6
| sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3014,f1]) ).
fof(f3014,plain,
( sk_c6 = multiply(identity,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2798,f2983]) ).
fof(f2798,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f23,f321]) ).
fof(f321,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f319,f286]) ).
fof(f319,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| ~ spl0_3 ),
inference(superposition,[],[f48,f318]) ).
fof(f311,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f2582,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f914,f832]) ).
fof(f914,plain,
( sk_c2 = inverse(sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f835,f311]) ).
fof(f1019,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f649,f321]) ).
fof(f649,plain,
( identity = sk_c6
| sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f21,f351]) ).
fof(f1022,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| sk_c6 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f22,f321]) ).
fof(f1012,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f23,f321]) ).
fof(f996,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f914,f321]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f320,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f318]) ).
fof(f318,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f311]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| ~ spl0_3 ),
inference(superposition,[],[f48,f311]) ).
fof(f3044,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f3043]) ).
fof(f3043,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1194,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034]) ).
fof(f1194,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f1061,f1143]) ).
fof(f1143,plain,
( sk_c5 = sk_c4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1141,plain,
( spl0_9
<=> sk_c5 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f3042,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f3041]) ).
fof(f3041,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2562,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034]) ).
fof(f2562,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1061,f1143]) ).
fof(f3040,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f3039]) ).
fof(f3039,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1143,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034]) ).
fof(f3038,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f3037]) ).
fof(f3037,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1187,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034]) ).
fof(f1187,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f28,f1143]) ).
fof(f3036,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3035]) ).
fof(f3035,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031,f3034]) ).
fof(f3033,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3032]) ).
fof(f3032,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981,f3031]) ).
fof(f3028,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3027]) ).
fof(f3027,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f3026,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981]) ).
fof(f3026,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3025,f2983]) ).
fof(f3025,plain,
( identity = multiply(sk_c3,sk_c5)
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f2971,f2987]) ).
fof(f2987,plain,
( identity != inverse(sk_c1)
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f31,f1058]) ).
fof(f31,plain,
( sk_c6 != inverse(sk_c1)
| spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f3023,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3022]) ).
fof(f3022,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f1953,f2985,f2986,f1138,f2983,f3017,f2981]) ).
fof(f3019,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3018,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f317,f318,f322,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f996,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f1012,f1022,f315,f1025,f1026,f832,f1019,f1061,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f321,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965,f2968,f2971,f2974,f2976,f2979,f2981,f1953,f2985,f2986,f1138,f2983,f3017]) ).
fof(f3012,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3011]) ).
fof(f3011,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f3010,f1138]) ).
fof(f3010,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_9 ),
inference(forward_demodulation,[],[f2999,f2]) ).
fof(f2999,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_9 ),
inference(superposition,[],[f48,f2990]) ).
fof(f2990,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_9 ),
inference(forward_demodulation,[],[f2966,f2983]) ).
fof(f2966,plain,
( identity = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f722,f720,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1142,f1509,f6,f14,f10,f2800,f11,f15,f1021,f7,f1020,f1008,f1058,f2965]) ).
fof(f1142,plain,
( sk_c5 != sk_c4
| spl0_9 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f3004,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3003,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f2994,f1138]) ).
fof(f2994,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_9 ),
inference(superposition,[],[f1,f2990]) ).
fof(f3002,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3001]) ).
fof(f3001,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f2993,f1138]) ).
fof(f2993,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_9 ),
inference(superposition,[],[f2990,f1]) ).
fof(f2953,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2952]) ).
fof(f2952,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2951,f1509]) ).
fof(f2951,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2950,f1166]) ).
fof(f1166,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1143,f1139]) ).
fof(f1139,plain,
( identity = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f2950,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2949,f832]) ).
fof(f2949,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2948,f1166]) ).
fof(f2948,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2908,f352]) ).
fof(f2908,plain,
( identity != multiply(sk_c4,identity)
| identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f992,f294]) ).
fof(f992,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl0_5
<=> ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2947,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2946,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f2945,f835]) ).
fof(f2945,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2912,f835]) ).
fof(f2912,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2907]) ).
fof(f2907,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_5 ),
inference(superposition,[],[f992,f723]) ).
fof(f2941,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f2940,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f2913,f835]) ).
fof(f2913,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2905]) ).
fof(f2905,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f992,f187]) ).
fof(f2939,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f2938]) ).
fof(f2938,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f2914,f835]) ).
fof(f2914,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2904]) ).
fof(f2904,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f992,f2]) ).
fof(f2937,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f2915,f1509]) ).
fof(f2915,plain,
( identity != inverse(identity)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2903]) ).
fof(f2903,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f992,f1]) ).
fof(f2935,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2934]) ).
fof(f2934,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2933,f1509]) ).
fof(f2933,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2932,f1166]) ).
fof(f2932,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2902,f1166]) ).
fof(f2902,plain,
( identity != sk_c4
| identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f992,f352]) ).
fof(f2931,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2930]) ).
fof(f2930,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f2929,f1509]) ).
fof(f2929,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2928,f1139]) ).
fof(f2928,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f2901,f1139]) ).
fof(f2901,plain,
( identity != sk_c5
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f992,f360]) ).
fof(f2927,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2926]) ).
fof(f2926,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2925,f1509]) ).
fof(f2925,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2924,f1166]) ).
fof(f2924,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2923,f832]) ).
fof(f2923,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2900,f1166]) ).
fof(f2900,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f992,f286]) ).
fof(f2921,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2919,f1509]) ).
fof(f2919,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2918,f1166]) ).
fof(f2918,plain,
( identity != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2917,f832]) ).
fof(f2917,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2916,f835]) ).
fof(f2916,plain,
( identity != inverse(inverse(inverse(inverse(sk_c5))))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2898,f1166]) ).
fof(f2898,plain,
( identity != sk_c4
| identity != inverse(inverse(inverse(inverse(sk_c5))))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f992,f301]) ).
fof(f2810,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2809]) ).
fof(f2809,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f314,f6,f2795,f14,f2796,f10,f2799,f11,f2802,f15,f2803,f7,f2805,f31]) ).
fof(f2805,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| spl0_4 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f314,f6,f2795,f14,f2796,f10,f2799,f11,f2802,f15,f2803,f7]) ).
fof(f2803,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f7,f314,f6,f2795,f14,f2796,f10,f2799,f11,f2802,f15]) ).
fof(f2802,plain,
( sk_c6 = inverse(sk_c1)
| spl0_4 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f15,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f7,f314,f6,f2795,f14,f2796,f10,f2799,f11]) ).
fof(f2799,plain,
( sk_c6 = inverse(sk_c1)
| spl0_4 ),
inference(global_subsumption,[],[f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f15,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f7,f314,f6,f2795,f14,f2796,f10]) ).
fof(f2796,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| spl0_4 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f15,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f7,f314,f6,f2795,f14]) ).
fof(f2795,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| spl0_4 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f187,f305,f18,f368,f370,f369,f376,f375,f382,f381,f397,f398,f399,f402,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f15,f14,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f23,f7,f314,f6]) ).
fof(f314,plain,
( sk_c6 != inverse(sk_c3)
| spl0_4 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| spl0_4 ),
inference(superposition,[],[f3,f399]) ).
fof(f399,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| spl0_4 ),
inference(subsumption_resolution,[],[f14,f314]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c4,X0))
| spl0_4 ),
inference(superposition,[],[f3,f381]) ).
fof(f397,plain,
( sk_c4 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c6)
| spl0_4 ),
inference(superposition,[],[f48,f381]) ).
fof(f381,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c5))),sk_c4)
| spl0_4 ),
inference(superposition,[],[f48,f375]) ).
fof(f382,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c6,X0))
| spl0_4 ),
inference(superposition,[],[f3,f375]) ).
fof(f375,plain,
( sk_c4 = multiply(inverse(inverse(sk_c5)),sk_c6)
| spl0_4 ),
inference(superposition,[],[f48,f369]) ).
fof(f376,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c4,X0))
| spl0_4 ),
inference(superposition,[],[f3,f369]) ).
fof(f369,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| spl0_4 ),
inference(superposition,[],[f48,f368]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| spl0_4 ),
inference(superposition,[],[f3,f368]) ).
fof(f368,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| spl0_4 ),
inference(subsumption_resolution,[],[f6,f314]) ).
fof(f2794,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2793,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2792,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515,f940,f439]) ).
fof(f439,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f426,f286]) ).
fof(f426,plain,
( sk_c1 = multiply(inverse(sk_c5),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f210,f417]) ).
fof(f940,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f939,f539]) ).
fof(f939,plain,
( sk_c2 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f914,f441]) ).
fof(f515,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f498,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f210,f456]) ).
fof(f474,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f459,f2]) ).
fof(f459,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f286,f441]) ).
fof(f2126,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2077,f2]) ).
fof(f2077,plain,
( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2032,f831]) ).
fof(f2032,plain,
( inverse(identity) = multiply(inverse(sk_c1),inverse(sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f1654,f210]) ).
fof(f2125,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2082,f2]) ).
fof(f2082,plain,
( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2081,f831]) ).
fof(f2081,plain,
( inverse(identity) = multiply(inverse(sk_c1),inverse(sk_c6))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2034,f835]) ).
fof(f2034,plain,
( inverse(identity) = multiply(inverse(sk_c1),inverse(inverse(inverse(sk_c6))))
| ~ spl0_2 ),
inference(superposition,[],[f1654,f298]) ).
fof(f2124,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2040,f2]) ).
fof(f2040,plain,
( multiply(inverse(sk_c1),sk_c1) = inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f1654,f328]) ).
fof(f2089,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2038,f2]) ).
fof(f2038,plain,
( inverse(identity) = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f1654,f336]) ).
fof(f1524,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1430,f327]) ).
fof(f1430,plain,
( identity = inverse(multiply(sk_c1,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f329,f957]) ).
fof(f1522,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1428,f34]) ).
fof(f1428,plain,
( identity = inverse(multiply(sk_c6,sk_c1))
| ~ spl0_2 ),
inference(superposition,[],[f51,f957]) ).
fof(f1512,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1418,f327]) ).
fof(f1418,plain,
( identity = inverse(multiply(sk_c1,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f957,f329]) ).
fof(f1510,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1416,f34]) ).
fof(f1416,plain,
( identity = inverse(multiply(sk_c6,sk_c1))
| ~ spl0_2 ),
inference(superposition,[],[f957,f51]) ).
fof(f1403,plain,
( identity = multiply(sk_c1,multiply(sk_c6,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f957,f327]) ).
fof(f1406,plain,
( identity = multiply(sk_c6,multiply(sk_c1,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f957,f34]) ).
fof(f2180,plain,
( identity = multiply(sk_c6,multiply(sk_c1,inverse(identity)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1407,f835]) ).
fof(f1407,plain,
( identity = multiply(inverse(inverse(sk_c6)),multiply(sk_c1,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f957,f289]) ).
fof(f2160,plain,
( sk_c6 = multiply(sk_c6,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1583,f32]) ).
fof(f1583,plain,
( inverse(sk_c1) = multiply(sk_c6,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1548,f327]) ).
fof(f2154,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1586,f831]) ).
fof(f1586,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1548,f34]) ).
fof(f2153,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2152,f831]) ).
fof(f2152,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1587,f835]) ).
fof(f1587,plain,
( inverse(inverse(inverse(sk_c6))) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1548,f289]) ).
fof(f1601,plain,
( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c1,inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f329,f1548]) ).
fof(f1603,plain,
( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c6,inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f51,f1548]) ).
fof(f2148,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1705,f831]) ).
fof(f1705,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f210]) ).
fof(f2145,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2144,f831]) ).
fof(f2144,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1707,f835]) ).
fof(f1707,plain,
( inverse(inverse(inverse(sk_c6))) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f298]) ).
fof(f1711,plain,
( sk_c6 = multiply(sk_c6,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f336]) ).
fof(f1713,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f328]) ).
fof(f1715,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f51]) ).
fof(f1717,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1650,f329]) ).
fof(f1736,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c1) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1650,f831]) ).
fof(f1739,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c6) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1650,f32]) ).
fof(f1826,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c6) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1733,f831]) ).
fof(f1829,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c1) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1733,f32]) ).
fof(f1888,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1552,f831]) ).
fof(f1891,plain,
( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1552,f32]) ).
fof(f1897,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1552,f194]) ).
fof(f2129,plain,
( sk_c1 = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1912,f831]) ).
fof(f1912,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1552,f289]) ).
fof(f1928,plain,
( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f329,f1552]) ).
fof(f1930,plain,
( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c1))
| ~ spl0_2 ),
inference(superposition,[],[f51,f1552]) ).
fof(f2042,plain,
( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f1654,f51]) ).
fof(f2044,plain,
( ! [X0] : inverse(multiply(sk_c6,X0)) = multiply(inverse(X0),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f1654,f329]) ).
fof(f831,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f806,f210]) ).
fof(f719,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f188,f298]) ).
fof(f721,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f298,f188]) ).
fof(f1004,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f833,f835]) ).
fof(f833,plain,
( sk_c1 = inverse(inverse(inverse(sk_c6)))
| ~ spl0_2 ),
inference(superposition,[],[f806,f298]) ).
fof(f1001,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f840,f328]) ).
fof(f840,plain,
( multiply(sk_c1,identity) = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f806,f194]) ).
fof(f843,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f210,f806]) ).
fof(f1000,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f845,f835]) ).
fof(f845,plain,
( sk_c1 = inverse(inverse(inverse(sk_c6)))
| ~ spl0_2 ),
inference(superposition,[],[f298,f806]) ).
fof(f997,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f852,f328]) ).
fof(f852,plain,
( multiply(sk_c1,identity) = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f194,f806]) ).
fof(f913,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f835,f32]) ).
fof(f994,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f963,f328]) ).
fof(f963,plain,
( multiply(sk_c1,identity) = inverse(sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f329,f803]) ).
fof(f797,plain,
( ! [X3,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f796,f441]) ).
fof(f796,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f795,f474]) ).
fof(f795,plain,
( ! [X3,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f794,f441]) ).
fof(f794,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f793,f417]) ).
fof(f793,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f792,f441]) ).
fof(f792,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f791,f441]) ).
fof(f791,plain,
( ! [X3,X4,X5] :
( sk_c5 != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f790,f417]) ).
fof(f790,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f789,f441]) ).
fof(f789,plain,
( ! [X3,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f788,f456]) ).
fof(f788,plain,
( ! [X3,X4,X5] :
( identity != sk_c6
| identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f787,f351]) ).
fof(f787,plain,
( ! [X3,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f786,f441]) ).
fof(f786,plain,
( ! [X3,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f785,f441]) ).
fof(f785,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(X5)
| identity != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f784,f417]) ).
fof(f784,plain,
( ! [X3,X4,X5] :
( identity != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f783,f441]) ).
fof(f783,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f782,f417]) ).
fof(f782,plain,
( ! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(X3,sk_c5)
| sk_c6 != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c4) )
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f781,f368]) ).
fof(f539,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f528,f441]) ).
fof(f528,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f28,f474]) ).
fof(f572,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f571,f441]) ).
fof(f571,plain,
( identity = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f558,f417]) ).
fof(f558,plain,
( identity = multiply(inverse(inverse(sk_c6)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f289,f515]) ).
fof(f565,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f564,f441]) ).
fof(f564,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f555,f417]) ).
fof(f555,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f32,f515]) ).
fof(f552,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f551,f441]) ).
fof(f551,plain,
( sk_c5 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f550,f417]) ).
fof(f550,plain,
( sk_c6 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f537,f441]) ).
fof(f537,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f381,f474]) ).
fof(f543,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f531,f441]) ).
fof(f531,plain,
( identity = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f292,f474]) ).
fof(f527,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f509,f441]) ).
fof(f509,plain,
( identity = multiply(inverse(inverse(inverse(identity))),sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f411,f456]) ).
fof(f526,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f508,f441]) ).
fof(f508,plain,
( sk_c5 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f409,f456]) ).
fof(f523,plain,
( sk_c4 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f505,f441]) ).
fof(f505,plain,
( sk_c4 = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f375,f456]) ).
fof(f522,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f521,f441]) ).
fof(f521,plain,
( sk_c5 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f504,f360]) ).
fof(f504,plain,
( sk_c4 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f368,f456]) ).
fof(f520,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f519,f439]) ).
fof(f519,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f502,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f329,f456]) ).
fof(f518,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f501,f439]) ).
fof(f501,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f327,f456]) ).
fof(f517,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f500,f439]) ).
fof(f500,plain,
( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f298,f456]) ).
fof(f516,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f499,f439]) ).
fof(f499,plain,
( identity = multiply(inverse(inverse(identity)),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f289,f456]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f513,f439]) ).
fof(f513,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f497,f187]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f194,f456]) ).
fof(f512,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f496,f439]) ).
fof(f496,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f51,f456]) ).
fof(f511,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f495,f439]) ).
fof(f495,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f34,f456]) ).
fof(f456,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f449,f351]) ).
fof(f449,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f399,f439]) ).
fof(f493,plain,
( identity = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f492,f441]) ).
fof(f492,plain,
( sk_c5 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f473,f417]) ).
fof(f473,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f411,f441]) ).
fof(f489,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f488,f441]) ).
fof(f488,plain,
( sk_c5 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f487,f417]) ).
fof(f487,plain,
( sk_c6 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f471,f439]) ).
fof(f471,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f399,f441]) ).
fof(f486,plain,
( identity = multiply(inverse(inverse(inverse(identity))),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f485,f441]) ).
fof(f485,plain,
( sk_c5 = multiply(inverse(inverse(inverse(identity))),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f470,f417]) ).
fof(f470,plain,
( sk_c6 = multiply(inverse(inverse(inverse(identity))),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f381,f441]) ).
fof(f484,plain,
( sk_c4 = multiply(inverse(inverse(identity)),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f483,f441]) ).
fof(f483,plain,
( sk_c4 = multiply(inverse(inverse(identity)),sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f469,f417]) ).
fof(f469,plain,
( sk_c4 = multiply(inverse(inverse(identity)),sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f375,f441]) ).
fof(f482,plain,
( identity = multiply(inverse(identity),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f481,f441]) ).
fof(f481,plain,
( sk_c5 = multiply(inverse(identity),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f468,f417]) ).
fof(f468,plain,
( sk_c6 = multiply(inverse(identity),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f369,f441]) ).
fof(f480,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f479,f441]) ).
fof(f479,plain,
( sk_c5 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f478,f417]) ).
fof(f478,plain,
( sk_c6 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f467,plain,
( sk_c4 = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f368,f441]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f465,f1]) ).
fof(f465,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f353,f441]) ).
fof(f464,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f351,f441]) ).
fof(f476,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f463,f321]) ).
fof(f463,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f318,f441]) ).
fof(f462,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f301,f441]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f461,f187]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f294,f441]) ).
fof(f460,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f292,f441]) ).
fof(f458,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f285,f441]) ).
fof(f457,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f284,f441]) ).
fof(f441,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f435,f2]) ).
fof(f435,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f405,f417]) ).
fof(f437,plain,
( sk_c5 = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f411,f417]) ).
fof(f436,plain,
( sk_c5 = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f409,f417]) ).
fof(f434,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f403,f417]) ).
fof(f433,plain,
( sk_c4 = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f375,f417]) ).
fof(f432,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f368,f417]) ).
fof(f430,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f329,f417]) ).
fof(f429,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f327,f417]) ).
fof(f440,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f428,f301]) ).
fof(f428,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c5))),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f298,f417]) ).
fof(f427,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f289,f417]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f425,f294]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f194,f417]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f51,f417]) ).
fof(f423,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f34,f417]) ).
fof(f417,plain,
( sk_c5 = sk_c6
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f416,f373]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f3,f416]) ).
fof(f422,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f420,f28]) ).
fof(f420,plain,
( sk_c4 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f48,f416]) ).
fof(f419,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f284,f416]) ).
fof(f418,plain,
( sk_c5 = sk_c6
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f373,f416]) ).
fof(f416,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f415,f321]) ).
fof(f415,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| spl0_4 ),
inference(subsumption_resolution,[],[f22,f314]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c5,X0))
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f411]) ).
fof(f413,plain,
( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c6)
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f48,f411]) ).
fof(f411,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c6))),sk_c5)
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f48,f409]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c6,X0))
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f409]) ).
fof(f409,plain,
( sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c6)
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f48,f405]) ).
fof(f410,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f405]) ).
fof(f405,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f48,f403]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f3,f403]) ).
fof(f403,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f401,f32]) ).
fof(f401,plain,
( sk_c5 = multiply(inverse(sk_c1),sk_c6)
| spl0_4 ),
inference(superposition,[],[f48,f399]) ).
fof(f400,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| spl0_4 ),
inference(superposition,[],[f51,f399]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c6))),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f298]) ).
fof(f391,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f48,f298]) ).
fof(f298,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f48,f289]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f3,f373]) ).
fof(f373,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f369,f294]) ).
fof(f374,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f294,f369]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f194,f48]) ).
fof(f336,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_2 ),
inference(superposition,[],[f51,f327]) ).
fof(f328,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f194,f210]) ).
fof(f340,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f327]) ).
fof(f339,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f337,f32]) ).
fof(f337,plain,
( sk_c6 = multiply(inverse(sk_c1),identity)
| ~ spl0_2 ),
inference(superposition,[],[f48,f327]) ).
fof(f327,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f194,f2]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f48,f194]) ).
fof(f333,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f210,f194]) ).
fof(f331,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f48,f194]) ).
fof(f330,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f194]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_2 ),
inference(superposition,[],[f48,f51]) ).
fof(f300,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f299,f1]) ).
fof(f299,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f289]) ).
fof(f289,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f48,f210]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f290,f1]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f210]) ).
fof(f210,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_2 ),
inference(superposition,[],[f48,f34]) ).
fof(f51,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f34]) ).
fof(f34,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f32]) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f2792,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f32,f2652]) ).
fof(f2652,plain,
( sk_c5 = sk_c6
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2651,f1062]) ).
fof(f1062,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f2651,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f2640,f832]) ).
fof(f2640,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f48,f2567]) ).
fof(f2567,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| spl0_6 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1509,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7]) ).
fof(f2553,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f649,f1057]) ).
fof(f2559,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f2558,f1057]) ).
fof(f2558,plain,
( identity = sk_c6
| sk_c5 = inverse(sk_c2)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17,f351]) ).
fof(f1057,plain,
( identity != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f2791,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2790]) ).
fof(f2790,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2789,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515,f940,f439]) ).
fof(f2789,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2788,f832]) ).
fof(f2788,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f831,f2652]) ).
fof(f2787,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2786]) ).
fof(f2786,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515,f940,f439]) ).
fof(f2785,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2784,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(subsumption_resolution,[],[f441,f1138]) ).
fof(f2783,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2782,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2653,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515,f940]) ).
fof(f2653,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f34,f2652]) ).
fof(f2781,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f2780]) ).
fof(f2780,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6 ),
inference(subsumption_resolution,[],[f456,f1057]) ).
fof(f2779,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2778]) ).
fof(f2778,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515,f940]) ).
fof(f2777,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2776,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474,f515]) ).
fof(f2775,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2774,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2659,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474]) ).
fof(f2659,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f327,f2652]) ).
fof(f2773,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2772,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2670,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474]) ).
fof(f2670,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2656,f286]) ).
fof(f2656,plain,
( sk_c1 = multiply(inverse(sk_c5),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f210,f2652]) ).
fof(f2771,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2770]) ).
fof(f2770,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509,f474]) ).
fof(f2769,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2768]) ).
fof(f2768,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_8 ),
inference(global_subsumption,[],[f992,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2767,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2766,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2730,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2730,plain,
( sk_c5 = inverse(sk_c3)
| sk_c5 = inverse(sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2729,f2652]) ).
fof(f2729,plain,
( sk_c5 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f10,f2652]) ).
fof(f2765,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2764]) ).
fof(f2764,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2733,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2733,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| sk_c5 = inverse(sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2717,f2652]) ).
fof(f2717,plain,
( sk_c5 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f11,f2652]) ).
fof(f2763,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2762]) ).
fof(f2762,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2736,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2736,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2709,f2652]) ).
fof(f2709,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f15,f2652]) ).
fof(f2761,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2760,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2742,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2742,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2741,f832]) ).
fof(f2741,plain,
( multiply(sk_c5,sk_c5) = inverse(sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2643,f2652]) ).
fof(f2643,plain,
( multiply(sk_c5,sk_c5) = inverse(sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f2636,f28]) ).
fof(f2636,plain,
( inverse(sk_c6) = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f1654,f2567]) ).
fof(f2759,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2758]) ).
fof(f2758,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2750,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2750,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| sk_c5 = inverse(sk_c3)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2749,f2652]) ).
fof(f2749,plain,
( sk_c5 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f14,f2652]) ).
fof(f2757,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2756,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f2753,f10,f11,f9,f1,f2,f8,f32,f34,f3,f51,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f210,f291,f286,f284,f295,f289,f300,f292,f303,f187,f305,f18,f317,f314,f318,f322,f194,f330,f331,f333,f334,f327,f339,f340,f328,f336,f329,f294,f354,f355,f357,f358,f351,f363,f364,f352,f368,f370,f360,f369,f374,f376,f373,f379,f375,f382,f353,f298,f391,f393,f301,f394,f396,f381,f397,f398,f399,f400,f402,f403,f406,f405,f410,f409,f412,f411,f413,f414,f416,f418,f419,f422,f421,f417,f423,f424,f438,f427,f440,f429,f430,f432,f433,f434,f436,f437,f439,f441,f457,f458,f460,f475,f462,f476,f464,f477,f480,f482,f484,f486,f489,f493,f456,f511,f512,f514,f516,f517,f518,f520,f522,f523,f526,f527,f474,f543,f552,f515,f565,f572,f539,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f940,f803,f988,f969,f797,f994,f978,f996,f913,f912,f997,f902,f999,f1000,f844,f843,f1001,f877,f1003,f1004,f1005,f1007,f1008,f722,f721,f720,f719,f1012,f15,f1020,f1021,f1022,f14,f6,f831,f832,f1019,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2044,f2042,f2087,f2127,f2023,f1930,f1928,f1924,f1915,f2129,f2132,f2134,f1897,f2135,f1893,f1891,f1888,f1849,f1843,f2136,f1829,f1826,f1739,f1736,f1717,f1715,f1713,f1711,f2140,f2145,f2148,f1704,f1747,f1603,f1601,f1597,f1590,f2153,f2154,f2160,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f2180,f1406,f1403,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f19,f1710,f2437,f1510,f1511,f1512,f1521,f1522,f1523,f1524,f2080,f2086,f2088,f2089,f2090,f2124,f2125,f2126,f23,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f2582,f311,f1138,f321,f1509]) ).
fof(f2753,plain,
( sk_c5 != inverse(sk_c3)
| ~ spl0_1
| spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f314,f2652]) ).
fof(f2755,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2754]) ).
fof(f2754,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_4
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f2753,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730,f2733,f2736,f2742,f2750]) ).
fof(f2724,plain,
( sk_c5 != inverse(sk_c1)
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f31,f2652]) ).
fof(f2723,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2722,f1057]) ).
fof(f2722,plain,
( identity = sk_c6
| sk_c5 = inverse(sk_c1)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2721,f351]) ).
fof(f2721,plain,
( sk_c5 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f9,f2652]) ).
fof(f2713,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2411,f2652]) ).
fof(f2411,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f1020,f1057]) ).
fof(f2665,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2567,f2652]) ).
fof(f2641,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f3,f2567]) ).
fof(f2650,plain,
( identity = multiply(sk_c5,multiply(sk_c6,sk_c5))
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f2639,f28]) ).
fof(f2639,plain,
( identity = multiply(sk_c5,multiply(sk_c6,inverse(sk_c4)))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f957,f2567]) ).
fof(f2649,plain,
( sk_c4 = multiply(sk_c6,sk_c5)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f2648,f832]) ).
fof(f2648,plain,
( multiply(sk_c6,sk_c5) = inverse(sk_c5)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f2638,f28]) ).
fof(f2638,plain,
( inverse(sk_c5) = multiply(sk_c6,inverse(sk_c4))
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f1548,f2567]) ).
fof(f2642,plain,
( sk_c5 = sk_c6
| ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2635,f1062]) ).
fof(f2635,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f353,f2567]) ).
fof(f2609,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f1062]) ).
fof(f2617,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2608,f28]) ).
fof(f2608,plain,
( sk_c4 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f48,f1062]) ).
fof(f2612,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2605,f28]) ).
fof(f2605,plain,
( sk_c4 = multiply(sk_c5,inverse(sk_c4))
| ~ spl0_7 ),
inference(superposition,[],[f1650,f1062]) ).
fof(f2603,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f284,f1062]) ).
fof(f2568,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_1
| spl0_6 ),
inference(subsumption_resolution,[],[f1021,f1057]) ).
fof(f2752,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2751]) ).
fof(f2751,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730,f2733,f2736,f2742,f2750]) ).
fof(f2744,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2743]) ).
fof(f2743,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730,f2733,f2736,f2742]) ).
fof(f2738,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2737]) ).
fof(f2737,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730,f2733,f2736]) ).
fof(f2735,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2734]) ).
fof(f2734,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730,f2733]) ).
fof(f2732,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2731,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724,f2730]) ).
fof(f2728,plain,
( ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2727,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2713,f2723,f2724]) ).
fof(f2726,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2725,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f1021,f14,f6,f315,f1025,f1026,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1890,f1849,f1843,f2136,f1828,f1738,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1309,f1024,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1030,f1028,f1057,f1029,f2241,f2242,f2256,f2246,f2247,f2249,f2250,f2251,f19,f2559,f1710,f2437,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f1023,f23,f2553,f1602,f1716,f1737,f1825,f1889,f1927,f2041,f1401,f7,f2568,f1404,f2569,f2570,f2572,f2573,f2575,f1712,f2576,f2043,f1929,f1896,f1887,f1827,f1735,f1714,f1600,f1509,f1062,f2603,f2612,f2617,f2609,f2567,f2642,f2649,f2650,f2641,f2652,f2665,f2677,f2703,f2712,f2713,f2720,f2723,f2724]) ).
fof(f2720,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2719,f1057]) ).
fof(f2719,plain,
( identity = sk_c6
| sk_c5 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2718,f351]) ).
fof(f2718,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2717,f2677]) ).
fof(f2712,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2711,f1057]) ).
fof(f2711,plain,
( identity = sk_c6
| sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2710,f351]) ).
fof(f2710,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2709,f2677]) ).
fof(f2703,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2702,f2677]) ).
fof(f2702,plain,
( sk_c3 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f2643,f1029]) ).
fof(f2677,plain,
( sk_c4 = sk_c3
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2663,f832]) ).
fof(f2663,plain,
( sk_c3 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1029,f2652]) ).
fof(f2698,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2697]) ).
fof(f2697,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f2696,f1057]) ).
fof(f2696,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2694,f351]) ).
fof(f2694,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f2412,f2677]) ).
fof(f2412,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f2411,f2235]) ).
fof(f2235,plain,
( sk_c3 = sk_c1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f1029,f831]) ).
fof(f2565,plain,
( ~ spl0_1
| spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f2564]) ).
fof(f2564,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_6 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f1057,f19,f2559,f1710,f2437,f1509,f1511,f1521,f1523,f2080,f2086,f2088,f2090,f310]) ).
fof(f2552,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2551]) ).
fof(f2551,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1143,f1195,f1191,f1187,f1202,f1215,f1207,f1189,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223,f1188,f1203,f1240,f1138]) ).
fof(f1240,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1239,f1189]) ).
fof(f1239,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1062,f1143]) ).
fof(f1203,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f48,f1187]) ).
fof(f1188,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f284,f1143]) ).
fof(f1223,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1219,f1]) ).
fof(f1219,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f3,f1189]) ).
fof(f1193,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f353,f1143]) ).
fof(f1305,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f807,f1187]) ).
fof(f1681,plain,
( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c5,inverse(X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1600,f1143]) ).
fof(f2522,plain,
( ! [X0] : inverse(multiply(X0,sk_c5)) = multiply(sk_c5,inverse(X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1602,f1143]) ).
fof(f1769,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1714,f1143]) ).
fof(f2517,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1716,f1143]) ).
fof(f1734,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1650,f1187]) ).
fof(f1799,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1735,f1143]) ).
fof(f2510,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1737,f1143]) ).
fof(f1824,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1733,f1187]) ).
fof(f2501,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1825,f1143]) ).
fof(f1860,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1827,f1143]) ).
fof(f1886,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1552,f1187]) ).
fof(f1942,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1887,f1143]) ).
fof(f2490,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1889,f1143]) ).
fof(f1963,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1896,f1143]) ).
fof(f2481,plain,
( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c5))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1927,f1143]) ).
fof(f2005,plain,
( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c5))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1929,f1143]) ).
fof(f2476,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2041,f1143]) ).
fof(f2099,plain,
( ! [X0] : inverse(multiply(sk_c5,X0)) = multiply(inverse(X0),sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2043,f1143]) ).
fof(f2471,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2470,f1143]) ).
fof(f2470,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2130,f832]) ).
fof(f2130,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1911,f1143]) ).
fof(f2137,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1712,f1143]) ).
fof(f2463,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2462,f1143]) ).
fof(f2462,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2461,f832]) ).
fof(f2461,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2141,f835]) ).
fof(f2141,plain,
( inverse(inverse(inverse(sk_c5))) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1708,f1143]) ).
fof(f2458,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2457,f1143]) ).
fof(f2457,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2146,f832]) ).
fof(f2146,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1706,f1143]) ).
fof(f2450,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2449,f1143]) ).
fof(f2449,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2448,f832]) ).
fof(f2448,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2155,f835]) ).
fof(f2155,plain,
( inverse(inverse(inverse(sk_c5))) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1585,f1143]) ).
fof(f2445,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2444,f1143]) ).
fof(f2444,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2158,f832]) ).
fof(f2158,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1584,f1143]) ).
fof(f2441,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2440,f1143]) ).
fof(f2440,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1582,f832]) ).
fof(f1582,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f1548,f1189]) ).
fof(f2432,plain,
( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2181,f835]) ).
fof(f2181,plain,
( identity = multiply(inverse(inverse(sk_c5)),multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1405,f1143]) ).
fof(f2184,plain,
( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1404,f1143]) ).
fof(f1402,plain,
( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f957,f1189]) ).
fof(f2425,plain,
( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1401,f1143]) ).
fof(f2418,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f7,f1143]) ).
fof(f1189,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f285,f1143]) ).
fof(f1207,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f803,f1187]) ).
fof(f1215,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1206,f835]) ).
fof(f1206,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f723,f1187]) ).
fof(f1202,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f2,f1187]) ).
fof(f1191,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f351,f1143]) ).
fof(f1195,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1190,f835]) ).
fof(f1190,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f292,f1143]) ).
fof(f2550,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2549]) ).
fof(f2549,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1195,f1191,f1187,f1202,f1215,f1207,f1189,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223,f1188,f1203,f1240]) ).
fof(f2548,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2547,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1294,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1195,f1191,f1187,f1202,f1215,f1207,f1189,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223,f1188,f1203]) ).
fof(f1294,plain,
( identity = sk_c5
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1293,f1189]) ).
fof(f1293,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1012,f1143]) ).
fof(f2546,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1195,f1191,f1187,f1202,f1215,f1207,f1189,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223,f1188,f1203]) ).
fof(f2544,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2543,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1195,f1191,f1187,f1202,f1203,f1215,f1207,f1189,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223,f1188]) ).
fof(f2542,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2541]) ).
fof(f2541,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1187,f1202,f1203,f1215,f1207,f1189,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193,f1223]) ).
fof(f2540,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2539]) ).
fof(f2539,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305,f1193]) ).
fof(f2538,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681,f1305]) ).
fof(f2526,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2525]) ).
fof(f2525,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522,f1681]) ).
fof(f2524,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2523]) ).
fof(f2523,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769,f2522]) ).
fof(f2521,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517,f1769]) ).
fof(f2519,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2518]) ).
fof(f2518,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734,f2517]) ).
fof(f2516,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2515,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799,f1734]) ).
fof(f2514,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2513,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510,f1799]) ).
fof(f2512,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2511]) ).
fof(f2511,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824,f2510]) ).
fof(f2509,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2508,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2507,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824]) ).
fof(f2507,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2506,f1143]) ).
fof(f2506,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c5) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1740,f321]) ).
fof(f1740,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c5) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1650,f311]) ).
fof(f2505,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2504]) ).
fof(f2504,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501,f1824]) ).
fof(f2503,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860,f2501]) ).
fof(f2500,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2499,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886,f1860]) ).
fof(f2498,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2497,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1870,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886]) ).
fof(f1870,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1869,f1143]) ).
fof(f1869,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c4) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1830,f321]) ).
fof(f1830,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c2) = X0
| ~ spl0_3 ),
inference(superposition,[],[f1733,f311]) ).
fof(f2496,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2495]) ).
fof(f2495,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942,f1886]) ).
fof(f2494,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2493]) ).
fof(f2493,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490,f1942]) ).
fof(f2492,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2491]) ).
fof(f2491,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963,f2490]) ).
fof(f2489,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2488]) ).
fof(f2488,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2487,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963]) ).
fof(f2487,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2486,f1143]) ).
fof(f2486,plain,
( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1892,f321]) ).
fof(f1892,plain,
( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_3 ),
inference(superposition,[],[f1552,f311]) ).
fof(f2485,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2484,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481,f1963]) ).
fof(f2483,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2482,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005,f2481]) ).
fof(f2480,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2479,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476,f2005]) ).
fof(f2478,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2477,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099,f2476]) ).
fof(f2475,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2474]) ).
fof(f2474,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471,f2099]) ).
fof(f2473,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2472,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137,f2471]) ).
fof(f2469,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710,f2137]) ).
fof(f2467,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463,f1710]) ).
fof(f2465,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2464,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458,f2463]) ).
fof(f2460,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450,f2458]) ).
fof(f2456,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2455,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2454,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450]) ).
fof(f2454,plain,
( sk_c5 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2453,f1143]) ).
fof(f2453,plain,
( sk_c4 = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2150,f832]) ).
fof(f2150,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2149,f1143]) ).
fof(f2149,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(identity))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1588,f321]) ).
fof(f1588,plain,
( inverse(sk_c5) = multiply(sk_c2,inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f1548,f318]) ).
fof(f2452,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2451,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445,f2450]) ).
fof(f2447,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
fof(f2446,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441,f2445]) ).
fof(f2443,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2442,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437,f2441]) ).
fof(f2439,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2438,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432,f2437]) ).
fof(f2436,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2435,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2177,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432]) ).
fof(f2177,plain,
( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2176,f1143]) ).
fof(f2176,plain,
( identity = multiply(sk_c5,multiply(sk_c4,inverse(identity)))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1408,f321]) ).
fof(f1408,plain,
( identity = multiply(sk_c5,multiply(sk_c2,inverse(identity)))
| ~ spl0_3 ),
inference(superposition,[],[f957,f318]) ).
fof(f2434,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2433,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184,f2432]) ).
fof(f2431,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402,f2184]) ).
fof(f2429,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2428,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425,f1402]) ).
fof(f2427,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2426]) ).
fof(f2426,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418,f2425]) ).
fof(f2424,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2423]) ).
fof(f2423,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2422,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418]) ).
fof(f2422,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f2421]) ).
fof(f2421,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f15,f2235]) ).
fof(f2420,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2419]) ).
fof(f2419,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509,f2418]) ).
fof(f2417,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2416,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2415,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509]) ).
fof(f2415,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2214,f1057]) ).
fof(f2214,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1021,f1143]) ).
fof(f2414,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2413]) ).
fof(f2413,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2412,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509]) ).
fof(f2410,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2409,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511,f1509]) ).
fof(f2408,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2407,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1510,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511]) ).
fof(f2406,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2405]) ).
fof(f2405,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521,f1511]) ).
fof(f2404,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1512,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521]) ).
fof(f2402,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2401]) ).
fof(f2401,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523,f1521]) ).
fof(f2400,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1522,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523]) ).
fof(f2398,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2397,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080,f1523]) ).
fof(f2396,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2395,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1524,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080]) ).
fof(f2394,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2393,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086,f2080]) ).
fof(f2392,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2391,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088,f2086]) ).
fof(f2390,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2389,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090,f2088]) ).
fof(f2388,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2089,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090]) ).
fof(f2386,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2385]) ).
fof(f2385,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765,f2090]) ).
fof(f2384,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2383]) ).
fof(f2383,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2124,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2090,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765]) ).
fof(f2382,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2381]) ).
fof(f2381,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2125,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2090,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765]) ).
fof(f2380,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2379,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f2126,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2090,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765]) ).
fof(f2378,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2377,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(global_subsumption,[],[f1023,f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f988,f969,f978,f912,f902,f999,f844,f877,f1003,f1005,f1007,f1008,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1138,f1143,f1188,f1195,f1191,f1193,f1187,f1202,f1203,f1215,f1207,f1189,f1223,f1240,f807,f1333,f1344,f957,f1382,f1414,f1520,f1550,f1553,f1548,f1561,f1577,f1594,f1694,f1605,f1606,f1608,f1609,f1650,f1703,f1719,f1742,f1743,f1744,f1745,f1733,f1841,f1844,f1845,f1846,f1847,f1552,f1980,f1910,f1919,f1932,f1933,f1934,f1935,f1937,f1938,f1654,f2030,f2045,f2046,f2063,f2067,f2069,f2090,f2088,f2087,f2086,f2080,f2127,f2023,f1924,f1915,f2132,f2134,f2135,f1893,f1849,f1843,f2136,f2140,f1704,f1747,f1597,f1590,f1579,f2166,f2170,f2171,f1610,f1526,f1525,f1523,f1521,f1514,f1513,f1511,f1509,f1410,f1400,f1487,f2195,f1376,f1002,f998,f958,f952,f849,f848,f837,f836,f768,f765]) ).
fof(f2375,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2373,f1057]) ).
fof(f2373,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2359,f2]) ).
fof(f2359,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f48,f2352]) ).
fof(f2352,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2215,f1057]) ).
fof(f2215,plain,
( identity = multiply(identity,sk_c6)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2214,f1139]) ).
fof(f2364,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2354,f1057]) ).
fof(f2354,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1,f2352]) ).
fof(f2362,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2361]) ).
fof(f2361,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2353,f1057]) ).
fof(f2353,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f2352,f1]) ).
fof(f2123,plain,
( spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1371,f1141,f1137,f1056,f26,f991,f991,f991]) ).
fof(f1371,plain,
( ! [X3,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1370,f1139]) ).
fof(f1370,plain,
( ! [X3,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1369,f1139]) ).
fof(f1369,plain,
( ! [X3,X4,X5] :
( identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1368,f1139]) ).
fof(f1368,plain,
( ! [X3,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1367,f1139]) ).
fof(f1367,plain,
( ! [X3,X4,X5] :
( identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1366,f1058]) ).
fof(f1366,plain,
( ! [X3,X4,X5] :
( identity != sk_c6
| identity != inverse(X3)
| identity != inverse(X5)
| sk_c5 != inverse(X4)
| identity != multiply(X3,sk_c5)
| identity != multiply(X5,sk_c5)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1008,f1143]) ).
fof(f1232,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f1230,f1138]) ).
fof(f1230,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(forward_demodulation,[],[f1229,f1058]) ).
fof(f1229,plain,
( sk_c5 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(forward_demodulation,[],[f1228,f1]) ).
fof(f1228,plain,
( sk_c6 = multiply(identity,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8 ),
inference(forward_demodulation,[],[f1227,f1106]) ).
fof(f1106,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1105,f1086]) ).
fof(f1086,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1079,f1058]) ).
fof(f1079,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f32,f1075]) ).
fof(f1075,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1067,f2]) ).
fof(f1067,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f210,f1058]) ).
fof(f1227,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f1226,f1138]) ).
fof(f1226,plain,
( identity = sk_c5
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1225,f1058]) ).
fof(f1225,plain,
( sk_c5 = sk_c6
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1224,f1]) ).
fof(f1224,plain,
( sk_c6 = multiply(identity,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f15,f1075]) ).
fof(f1186,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1184,f1139]) ).
fof(f1184,plain,
( identity != sk_c5
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1174,f1]) ).
fof(f1174,plain,
( sk_c5 != multiply(identity,identity)
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1061,f1166]) ).
fof(f1165,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1164,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f10,f11,f9,f1,f2,f8,f3,f48,f190,f24,f23,f21,f13,f5,f22,f20,f19,f17,f12,f4,f16,f28,f285,f288,f286,f284,f295,f292,f303,f187,f305,f18,f294,f354,f355,f357,f358,f351,f363,f364,f352,f360,f353,f301,f394,f396,f188,f736,f723,f766,f770,f198,f807,f815,f816,f820,f821,f806,f885,f847,f910,f835,f932,f933,f803,f957,f988,f969,f978,f958,f952,f912,f902,f998,f849,f848,f999,f844,f877,f1002,f837,f836,f1003,f1005,f1007,f1008,f768,f765,f722,f720,f15,f1020,f7,f1021,f14,f6,f832,f1142,f1139,f1145,f1146,f1156,f1157,f1158,f1159,f1152,f1161,f1163]) ).
fof(f1163,plain,
( identity != sk_c4
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1142,f1139]) ).
fof(f1161,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1153,f1]) ).
fof(f1153,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f353,f1139]) ).
fof(f1152,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f351,f1139]) ).
fof(f1159,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1150,f723]) ).
fof(f1150,plain,
( sk_c4 = multiply(inverse(inverse(inverse(identity))),identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f301,f1139]) ).
fof(f1158,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1149,f187]) ).
fof(f1149,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f294,f1139]) ).
fof(f1157,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1148,f835]) ).
fof(f1148,plain,
( identity = multiply(inverse(inverse(identity)),sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f292,f1139]) ).
fof(f1156,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1147,f2]) ).
fof(f1147,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f286,f1139]) ).
fof(f1146,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f285,f1139]) ).
fof(f1145,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f284,f1139]) ).
fof(f1144,plain,
( spl0_8
| spl0_9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1135,f1056,f313,f30,f26,f1141,f1137]) ).
fof(f1135,plain,
( sk_c5 = sk_c4
| identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1134,f360]) ).
fof(f1134,plain,
( sk_c4 = multiply(sk_c5,identity)
| identity = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1133,f1058]) ).
fof(f1133,plain,
( identity = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1132,f1058]) ).
fof(f1132,plain,
( sk_c5 = sk_c6
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1131,f1]) ).
fof(f1131,plain,
( sk_c6 = multiply(identity,sk_c5)
| multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7,f1106]) ).
fof(f1063,plain,
( spl0_6
| spl0_7
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1019,f309,f26,f1060,f1056]) ).
fof(f993,plain,
( spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f797,f313,f309,f30,f26,f991,f991,f991]) ).
fof(f316,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f313,f309]) ).
fof(f283,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f278,f153]) ).
fof(f153,plain,
( sk_c5 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f143,f87]) ).
fof(f87,plain,
( sk_c5 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f84,f38]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f27]) ).
fof(f27,plain,
( sk_c5 != inverse(sk_c4)
| spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f84,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f67,f81]) ).
fof(f81,plain,
( sk_c5 = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f80,f70]) ).
fof(f70,plain,
( sk_c4 = multiply(sk_c6,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f67]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f62,f67]) ).
fof(f62,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c1,sk_c4)
| spl0_1 ),
inference(superposition,[],[f43,f57]) ).
fof(f57,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| spl0_1 ),
inference(superposition,[],[f52,f39]) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c2,sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f20,f27]) ).
fof(f52,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f36]) ).
fof(f36,plain,
( identity = multiply(sk_c5,sk_c2)
| spl0_1 ),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
( sk_c5 = inverse(sk_c2)
| spl0_1 ),
inference(subsumption_resolution,[],[f16,f27]) ).
fof(f43,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f38]) ).
fof(f67,plain,
( sk_c5 = multiply(sk_c1,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f63,f53]) ).
fof(f53,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f38]) ).
fof(f63,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c4)
| spl0_1 ),
inference(superposition,[],[f43,f37]) ).
fof(f37,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| spl0_1 ),
inference(subsumption_resolution,[],[f4,f27]) ).
fof(f143,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f32,f130]) ).
fof(f130,plain,
( identity = sk_c1
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f118,f91]) ).
fof(f91,plain,
( identity = multiply(sk_c5,sk_c1)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f34,f87]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
( identity = multiply(sk_c5,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f96,f36]) ).
fof(f96,plain,
( identity = multiply(sk_c5,multiply(sk_c5,sk_c2))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f73,f87]) ).
fof(f73,plain,
( identity = multiply(sk_c6,multiply(sk_c6,sk_c2))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f51,f64]) ).
fof(f64,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c1,identity)
| spl0_1 ),
inference(superposition,[],[f43,f36]) ).
fof(f278,plain,
( sk_c5 != inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f27,f267]) ).
fof(f267,plain,
( identity = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f259,f98]) ).
fof(f259,plain,
( sk_c4 = multiply(sk_c5,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f247]) ).
fof(f247,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f246,f2]) ).
fof(f246,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f206,f81]) ).
fof(f206,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| spl0_1 ),
inference(superposition,[],[f48,f37]) ).
fof(f33,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f30,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:46:52 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (10543)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (10547)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.36 TRYING [1]
% 0.21/0.36 TRYING [2]
% 0.21/0.36 TRYING [3]
% 0.21/0.36 % (10546)WARNING: value z3 for option sas not known
% 0.21/0.36 TRYING [4]
% 0.21/0.36 % (10544)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.36 % (10545)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.36 % (10546)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)
% 0.21/0.36 % (10548)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)
% 0.21/0.36 % (10550)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)
% 0.21/0.36 % (10549)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [5]
% 0.21/0.37 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [6]
% 0.21/0.44 TRYING [7]
% 0.21/0.44 % (10546)First to succeed.
% 0.21/0.46 % (10546)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10543"
% 0.21/0.47 TRYING [5]
% 0.21/0.47 % (10546)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (10546)------------------------------
% 0.21/0.48 % (10546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.48 % (10546)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (10546)Memory used [KB]: 2088
% 0.21/0.48 % (10546)Time elapsed: 0.104 s
% 0.21/0.48 % (10546)Instructions burned: 200 (million)
% 0.21/0.48 % (10543)Success in time 0.13 s
%------------------------------------------------------------------------------