TSTP Solution File: GRP326-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP326-1 : 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 : n004.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 06:02:29 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 36
% Syntax : Number of formulae : 1410 ( 139 unt; 0 def)
% Number of atoms : 5357 (1423 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 6877 (2930 ~;3936 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 562 ( 562 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3024,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f207,f235,f1153,f1168,f1173,f1177,f1183,f1187,f1192,f1227,f1401,f1521,f1689,f1737,f1744,f1770,f1889,f1915,f1917,f1926,f2055,f2132,f2222,f2254,f2256,f2264,f2271,f2273,f2275,f2277,f2279,f2281,f2283,f2285,f2287,f2289,f2291,f2293,f2295,f2297,f2299,f2301,f2303,f2305,f2307,f2309,f2311,f2313,f2315,f2317,f2319,f2321,f2323,f2325,f2327,f2329,f2331,f2333,f2335,f2337,f2339,f2342,f2344,f2453,f2469,f2474,f2476,f2479,f2481,f2483,f2485,f2487,f2521,f2528,f2556,f2594,f2600,f2602,f2604,f2607,f2611,f2630,f2636,f2638,f2640,f2643,f2647,f2649,f2651,f2653,f2656,f2659,f2661,f2663,f2665,f2667,f2669,f2671,f2673,f2675,f2677,f2679,f2681,f2683,f2685,f2687,f2689,f2691,f2693,f2695,f2697,f2699,f2701,f2703,f2705,f2707,f2710,f2713,f2716,f2719,f2722,f2728,f2737,f2741,f2745,f2753,f2758,f2763,f2767,f2769,f2771,f2773,f2775,f2777,f2779,f2782,f2785,f2787,f2789,f2792,f2794,f2796,f2798,f2800,f2803,f2807,f2810,f2813,f2815,f2817,f2819,f2821,f2823,f2825,f2827,f2829,f2831,f2833,f2835,f2837,f2840,f2842,f2844,f2847,f2849,f2851,f2853,f2855,f2857,f2859,f2861,f2863,f2865,f2867,f2869,f2871,f2873,f2875,f2878,f2881,f2884,f2886,f2888,f2890,f2893,f2895,f2897,f2899,f2901,f2903,f2905,f2907,f2909,f2911,f2913,f2915,f2917,f2919,f2921,f2923,f2925,f2927,f2929,f2931,f2933,f2935,f2937,f2939,f2941,f2943,f2945,f2947,f2949,f2951,f2953,f2955,f2957,f2959,f2961,f2963,f2965,f2967,f2969,f2971,f2973,f2975,f2977,f2979,f2981,f2983,f2985,f2987,f2989,f2991,f2993,f2995,f2997,f2999,f3001,f3003,f3005,f3007,f3009,f3011,f3013,f3015,f3017,f3019,f3021,f3023]) ).
fof(f3023,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3022]) ).
fof(f3022,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191,f1399]) ).
fof(f1399,plain,
( identity != sk_c7
| spl0_9 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl0_9
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2191,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f528,f1066]) ).
fof(f2185,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1066,f528]) ).
fof(f1199,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f887,f844]) ).
fof(f887,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
inference(superposition,[],[f844,f600]) ).
fof(f884,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f844,f530]) ).
fof(f1193,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1044,f545]) ).
fof(f1044,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f938,f411]) ).
fof(f1034,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f938,f528]) ).
fof(f1198,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f890,f545]) ).
fof(f890,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f844,f2]) ).
fof(f1197,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1196,f545]) ).
fof(f1196,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[],[f893,f545]) ).
fof(f893,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
inference(superposition,[],[f844,f484]) ).
fof(f659,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f1,f531]) ).
fof(f654,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f531,f1]) ).
fof(f409,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f52,f1]) ).
fof(f935,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f888,f530]) ).
fof(f888,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f844,f1]) ).
fof(f849,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f744,f2]) ).
fof(f744,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f52,f600]) ).
fof(f843,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f739,f530]) ).
fof(f739,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f531,f600]) ).
fof(f833,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f731,f2]) ).
fof(f731,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f600,f52]) ).
fof(f830,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f728,f530]) ).
fof(f728,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f600,f531]) ).
fof(f1213,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f546,f545]) ).
fof(f546,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f528,f484]) ).
fof(f1212,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f555,f545]) ).
fof(f555,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f484,f528]) ).
fof(f605,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f530]) ).
fof(f599,plain,
identity = inverse(identity),
inference(superposition,[],[f530,f1]) ).
fof(f553,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f528]) ).
fof(f544,plain,
identity = inverse(identity),
inference(superposition,[],[f528,f2]) ).
fof(f511,plain,
identity = inverse(identity),
inference(superposition,[],[f411,f484]) ).
fof(f510,plain,
identity = inverse(identity),
inference(superposition,[],[f484,f411]) ).
fof(f577,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f545,f35]) ).
fof(f841,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f737,f37]) ).
fof(f737,plain,
( identity = inverse(multiply(sk_c5,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f600,f54]) ).
fof(f868,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f753,f37]) ).
fof(f753,plain,
( identity = inverse(multiply(sk_c5,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f54,f600]) ).
fof(f35,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> sk_c5 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f90,plain,
( sk_c6 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f89,f81]) ).
fof(f89,plain,
( sk_c7 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f82,f69]) ).
fof(f82,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f4,f81]) ).
fof(f133,plain,
( identity = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f132,f1]) ).
fof(f132,plain,
( sk_c5 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f124,f91]) ).
fof(f124,plain,
( sk_c5 = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f4,f122]) ).
fof(f110,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f109,f91]) ).
fof(f109,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f101,f90]) ).
fof(f101,plain,
( sk_c5 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f35,f91]) ).
fof(f157,plain,
( identity = sk_c4
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
( sk_c4 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f155,f91]) ).
fof(f155,plain,
( sk_c4 = multiply(sk_c6,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,plain,
( multiply(sk_c6,identity) = multiply(identity,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f133]) ).
fof(f91,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f88,f37]) ).
fof(f88,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f72,f81]) ).
fof(f30,plain,
( sk_c6 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f81,plain,
( sk_c6 = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f80,f72]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f64,f69]) ).
fof(f122,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f106,plain,
( sk_c7 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f69,f91]) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f30]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f27,plain,
! [X3,X6,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) ),
inference(global_subsumption,[],[f4,f9,f21,f17,f13,f5,f11,f10,f12,f23,f22,f24,f19,f15,f7,f18,f20,f14,f16,f6,f8,f26]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f901,plain,
inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5)),
inference(superposition,[],[f844,f4]) ).
fof(f712,plain,
identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5))),
inference(superposition,[],[f600,f4]) ).
fof(f1207,plain,
identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5))),
inference(forward_demodulation,[],[f774,f844]) ).
fof(f774,plain,
! [X0] : identity = multiply(sk_c6,multiply(sk_c7,multiply(X0,inverse(multiply(sk_c5,X0))))),
inference(forward_demodulation,[],[f707,f3]) ).
fof(f707,plain,
! [X0] : identity = multiply(sk_c6,multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))),
inference(superposition,[],[f600,f45]) ).
fof(f896,plain,
! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0))),
inference(superposition,[],[f844,f45]) ).
fof(f414,plain,
! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0)),
inference(superposition,[],[f52,f45]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f1210,plain,
sk_c6 = multiply(sk_c5,inverse(sk_c7)),
inference(forward_demodulation,[],[f609,f528]) ).
fof(f609,plain,
multiply(sk_c6,identity) = multiply(sk_c5,inverse(sk_c7)),
inference(superposition,[],[f45,f530]) ).
fof(f1205,plain,
sk_c6 = multiply(sk_c5,inverse(sk_c7)),
inference(forward_demodulation,[],[f1204,f528]) ).
fof(f1204,plain,
multiply(sk_c6,identity) = multiply(sk_c5,inverse(sk_c7)),
inference(forward_demodulation,[],[f752,f844]) ).
fof(f752,plain,
! [X0] : multiply(sk_c6,identity) = multiply(sk_c5,multiply(X0,inverse(multiply(sk_c7,X0)))),
inference(superposition,[],[f45,f600]) ).
fof(f1053,plain,
sk_c6 = multiply(sk_c5,inverse(sk_c7)),
inference(superposition,[],[f938,f4]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f18,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f20,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f419,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(superposition,[],[f52,f4]) ).
fof(f2340,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f419,f35]) ).
fof(f1237,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f52,f35]) ).
fof(f1305,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1298,f1]) ).
fof(f1298,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1236]) ).
fof(f1242,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f531,f35]) ).
fof(f1353,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1346,f1]) ).
fof(f1346,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1241]) ).
fof(f1257,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f52,f577]) ).
fof(f1262,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f531,f577]) ).
fof(f1244,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
| ~ spl0_2 ),
inference(superposition,[],[f938,f35]) ).
fof(f1232,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f35,f37,f3,f54,f59,f62,f45,f67,f74,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f20,f16,f8,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27]) ).
fof(f1264,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
| ~ spl0_2 ),
inference(superposition,[],[f938,f577]) ).
fof(f2267,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f414,f35]) ).
fof(f663,plain,
! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(inverse(sk_c7),X0)),
inference(superposition,[],[f45,f531]) ).
fof(f1048,plain,
! [X0] : sk_c6 = multiply(multiply(sk_c5,X0),inverse(multiply(sk_c7,X0))),
inference(superposition,[],[f938,f45]) ).
fof(f2173,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1066,f577]) ).
fof(f2266,plain,
( ! [X0] : sk_c5 = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f896,f35]) ).
fof(f2172,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1066,f35]) ).
fof(f2265,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1718,f35]) ).
fof(f1718,plain,
( inverse(sk_c6) = multiply(sk_c7,sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f901,f577]) ).
fof(f1892,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c6))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f712,f577]) ).
fof(f1896,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c6))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1207,f577]) ).
fof(f2190,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
inference(superposition,[],[f3,f1066]) ).
fof(f2189,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f52,f1066]) ).
fof(f2188,plain,
! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
inference(superposition,[],[f600,f1066]) ).
fof(f2187,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f844,f1066]) ).
fof(f2179,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(superposition,[],[f1066,f3]) ).
fof(f1066,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f938,f545]) ).
fof(f1241,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f530,f35]) ).
fof(f1236,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f35]) ).
fof(f1261,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f530,f577]) ).
fof(f1266,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1260,f545]) ).
fof(f1260,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f484,f577]) ).
fof(f1256,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f577]) ).
fof(f1243,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f545,f35]) ).
fof(f1245,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1240,f545]) ).
fof(f1240,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f484,f35]) ).
fof(f1239,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f412,f35]) ).
fof(f1238,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f411,f35]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f1231,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f27,f4,f1,f2,f9,f35,f37,f3,f54,f59,f62,f45,f67,f74,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f20,f16,f8,f21,f1228,f5,f1229,f13,f1230,f17]) ).
fof(f1230,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f27,f4,f1,f2,f9,f35,f37,f3,f54,f59,f62,f45,f67,f74,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f20,f16,f8,f17,f21,f1228,f5,f1229,f13]) ).
fof(f1229,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f27,f4,f1,f2,f9,f35,f37,f3,f54,f59,f62,f45,f67,f74,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f20,f16,f8,f17,f13,f21,f1228,f5]) ).
fof(f1228,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f26,f27,f4,f1,f2,f9,f35,f37,f3,f54,f59,f62,f45,f67,f74,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f20,f16,f8,f17,f13,f5,f21]) ).
fof(f696,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f600,f530]) ).
fof(f762,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f698,f3]) ).
fof(f698,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f600,f600]) ).
fof(f701,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f600,f2]) ).
fof(f1208,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f704,f545]) ).
fof(f704,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f600,f484]) ).
fof(f926,plain,
! [X0] : multiply(sk_c5,inverse(multiply(X0,sk_c7))) = multiply(sk_c6,inverse(X0)),
inference(superposition,[],[f45,f844]) ).
fof(f1076,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f938]) ).
fof(f1075,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f52,f938]) ).
fof(f1074,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f600,f938]) ).
fof(f1073,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f844,f938]) ).
fof(f1040,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f938,f3]) ).
fof(f1037,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f938,f531]) ).
fof(f938,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f891,f545]) ).
fof(f891,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f844,f52]) ).
fof(f923,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f531,f844]) ).
fof(f922,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f844]) ).
fof(f920,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f844]) ).
fof(f919,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f52,f844]) ).
fof(f1013,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f918,f545]) ).
fof(f918,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f600,f844]) ).
fof(f914,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f844,f3]) ).
fof(f889,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f844,f3]) ).
fof(f886,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f844,f531]) ).
fof(f932,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f885,f545]) ).
fof(f885,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f844,f844]) ).
fof(f844,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f740,f528]) ).
fof(f740,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f52,f600]) ).
fof(f850,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f745,f528]) ).
fof(f745,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f531,f600]) ).
fof(f848,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f743,f3]) ).
fof(f743,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f600]) ).
fof(f846,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f845,f3]) ).
fof(f845,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
inference(forward_demodulation,[],[f741,f1]) ).
fof(f741,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
inference(superposition,[],[f3,f600]) ).
fof(f832,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f730,f3]) ).
fof(f730,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f600,f3]) ).
fof(f725,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f600,f3]) ).
fof(f700,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f600,f3]) ).
fof(f600,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f530,f3]) ).
fof(f660,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f531]) ).
fof(f655,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f531,f3]) ).
fof(f531,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f412,f52]) ).
fof(f606,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f530]) ).
fof(f624,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f604,f1]) ).
fof(f604,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f530]) ).
fof(f530,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f412,f2]) ).
fof(f587,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f545]) ).
fof(f586,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f52,f545]) ).
fof(f545,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f528,f411]) ).
fof(f570,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f556,f528]) ).
fof(f556,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f412,f528]) ).
fof(f554,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f411,f528]) ).
fof(f566,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f547,f528]) ).
fof(f547,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f528,f412]) ).
fof(f528,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f412,f411]) ).
fof(f536,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f52,f412]) ).
fof(f535,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f52,f412]) ).
fof(f534,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f412]) ).
fof(f532,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f411,f412]) ).
fof(f412,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f52,f52]) ).
fof(f522,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f513,f1]) ).
fof(f513,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f484]) ).
fof(f512,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f52,f484]) ).
fof(f484,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f52,f411]) ).
fof(f494,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f485,f1]) ).
fof(f485,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f411]) ).
fof(f411,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f52,f2]) ).
fof(f410,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f52,f3]) ).
fof(f52,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f44,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f74,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f27,f35]) ).
fof(f185,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f184,f91]) ).
fof(f184,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f183,f81]) ).
fof(f183,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f182,f91]) ).
fof(f182,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f181,f91]) ).
fof(f181,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f180,f81]) ).
fof(f180,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f179,f91]) ).
fof(f179,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f178,f91]) ).
fof(f178,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(sk_c6,multiply(X5,sk_c6))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f177,f81]) ).
fof(f177,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f176,f91]) ).
fof(f176,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f175,f81]) ).
fof(f175,plain,
( ! [X3,X6,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f174,f91]) ).
fof(f174,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X6)
| identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f173,f81]) ).
fof(f173,plain,
( ! [X3,X6,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f75,f91]) ).
fof(f171,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f170,f91]) ).
fof(f170,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f163,f81]) ).
fof(f163,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f38,f157]) ).
fof(f128,plain,
( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f53,f122]) ).
fof(f125,plain,
( identity = multiply(identity,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f122]) ).
fof(f114,plain,
( identity = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f91]) ).
fof(f113,plain,
( sk_c6 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f103,f81]) ).
fof(f103,plain,
( sk_c7 = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f41,f91]) ).
fof(f99,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f81]) ).
fof(f97,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f72,f90]) ).
fof(f96,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f66,f90]) ).
fof(f94,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f90]) ).
fof(f98,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f81]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f40,f90]) ).
fof(f92,plain,
( identity = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f90]) ).
fof(f87,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f55,f81]) ).
fof(f86,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f53,f81]) ).
fof(f85,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f45,f81]) ).
fof(f84,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f40,f81]) ).
fof(f83,plain,
( identity = multiply(sk_c6,sk_c4)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f81]) ).
fof(f79,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f78,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = multiply(sk_c6,multiply(identity,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f77,f3]) ).
fof(f77,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = multiply(multiply(sk_c6,identity),X0)
| spl0_1 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( multiply(sk_c5,sk_c4) = multiply(sk_c6,identity)
| spl0_1 ),
inference(superposition,[],[f45,f39]) ).
fof(f76,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f72]) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f69]) ).
fof(f75,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f74,f40]) ).
fof(f73,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f65,f59]) ).
fof(f65,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c6,sk_c6)
| spl0_1 ),
inference(superposition,[],[f45,f40]) ).
fof(f67,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f54,f45]) ).
fof(f64,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| spl0_1 ),
inference(superposition,[],[f45,f55]) ).
fof(f63,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f45,f53]) ).
fof(f45,plain,
! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
inference(superposition,[],[f3,f4]) ).
fof(f62,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f59]) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f54,f4]) ).
fof(f54,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f58,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f55]) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl0_1 ),
inference(superposition,[],[f53,f41]) ).
fof(f53,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f49,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f41]) ).
fof(f47,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f40]) ).
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(f41,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f30]) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f10,f30]) ).
fof(f39,plain,
( identity = multiply(sk_c7,sk_c4)
| spl0_1 ),
inference(superposition,[],[f2,f38]) ).
fof(f37,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f35]) ).
fof(f9,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
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(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f26,plain,
! [X3,X6,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X5,sk_c7) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f3021,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3020,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1688,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1688,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f1686,plain,
( spl0_11
<=> identity = multiply(identity,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f3019,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3018,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1953,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1953,plain,
( identity = sk_c6
| ~ spl0_11 ),
inference(superposition,[],[f1688,f1]) ).
fof(f3017,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1960,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1960,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1955,f35]) ).
fof(f1955,plain,
( identity = multiply(identity,inverse(sk_c6))
| ~ spl0_11 ),
inference(superposition,[],[f938,f1688]) ).
fof(f3015,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3014]) ).
fof(f3014,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f2086,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2086,plain,
( sk_c7 = inverse(identity)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2085,f528]) ).
fof(f2085,plain,
( inverse(identity) = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1718,f1953]) ).
fof(f3013,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3012]) ).
fof(f3012,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f2071,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2071,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2070,f528]) ).
fof(f2070,plain,
( identity = multiply(identity,multiply(sk_c7,identity))
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1896,f1953]) ).
fof(f3011,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3010]) ).
fof(f3010,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1968,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1968,plain,
( sk_c5 = inverse(identity)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f35,f1953]) ).
fof(f3009,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3008]) ).
fof(f3008,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1996,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1996,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1974,f1]) ).
fof(f1974,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f1316,f1953]) ).
fof(f1316,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1310,f577]) ).
fof(f1310,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f52,f1219]) ).
fof(f1219,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f237,f528]) ).
fof(f237,plain,
( multiply(sk_c5,sk_c4) = multiply(sk_c6,identity)
| ~ spl0_5 ),
inference(superposition,[],[f45,f236]) ).
fof(f236,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f230]) ).
fof(f230,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3007,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3006]) ).
fof(f3006,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1997,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1997,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1975,f528]) ).
fof(f1975,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f1356,f1953]) ).
fof(f1356,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f240,f1314]) ).
fof(f1314,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1313,f577]) ).
fof(f1313,plain,
( inverse(sk_c5) = multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1308,f35]) ).
fof(f1308,plain,
( inverse(sk_c5) = multiply(sk_c4,inverse(sk_c6))
| ~ spl0_5 ),
inference(superposition,[],[f844,f1219]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f236]) ).
fof(f3005,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3004]) ).
fof(f3004,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1972,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1972,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f1236,f1953]) ).
fof(f3003,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3002]) ).
fof(f3002,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1973,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1973,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f1241,f1953]) ).
fof(f3001,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f2139,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2139,plain,
( identity = sk_c3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1684,f1953]) ).
fof(f1684,plain,
( sk_c6 = sk_c3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1682,plain,
( spl0_10
<=> sk_c6 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2999,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2998]) ).
fof(f2998,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f2074,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2074,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2073,f528]) ).
fof(f2073,plain,
( identity = multiply(identity,multiply(sk_c7,identity))
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1892,f1953]) ).
fof(f2997,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2996]) ).
fof(f2996,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1980,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f1980,plain,
( sk_c7 = sk_c5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1967,f1]) ).
fof(f1967,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f4,f1953]) ).
fof(f2995,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
fof(f2994,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f2578,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2578,plain,
( identity = sk_c6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f2139,f1684]) ).
fof(f2993,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2992]) ).
fof(f2992,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f2579,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2579,plain,
( identity = sk_c6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1684,f2139]) ).
fof(f2991,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f2990,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f861,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f861,plain,
( identity = inverse(identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f751,f236]) ).
fof(f751,plain,
( identity = inverse(multiply(sk_c7,sk_c4))
| ~ spl0_5 ),
inference(superposition,[],[f240,f600]) ).
fof(f2989,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2988]) ).
fof(f2988,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f840,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f840,plain,
( identity = inverse(identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f736,f236]) ).
fof(f736,plain,
( identity = inverse(multiply(sk_c7,sk_c4))
| ~ spl0_5 ),
inference(superposition,[],[f600,f240]) ).
fof(f2987,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2986,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185,f2191]) ).
fof(f2985,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2984]) ).
fof(f2984,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199,f2185]) ).
fof(f2983,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2982]) ).
fof(f2982,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884,f1199]) ).
fof(f2981,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2980]) ).
fof(f2980,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193,f884]) ).
fof(f2979,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2978]) ).
fof(f2978,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034,f1193]) ).
fof(f2977,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2976]) ).
fof(f2976,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198,f1034]) ).
fof(f2975,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2974]) ).
fof(f2974,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197,f1198]) ).
fof(f2973,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2972]) ).
fof(f2972,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659,f1197]) ).
fof(f2971,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2970,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654,f659]) ).
fof(f2969,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2968]) ).
fof(f2968,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409,f654]) ).
fof(f2967,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2966]) ).
fof(f2966,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935,f409]) ).
fof(f2965,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
fof(f2964,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849,f935]) ).
fof(f2963,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2962]) ).
fof(f2962,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843,f849]) ).
fof(f2961,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2960]) ).
fof(f2960,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833,f843]) ).
fof(f2959,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2958]) ).
fof(f2958,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830,f833]) ).
fof(f2957,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2956]) ).
fof(f2956,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213,f830]) ).
fof(f2955,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2954]) ).
fof(f2954,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212,f1213]) ).
fof(f2953,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2952]) ).
fof(f2952,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605,f1212]) ).
fof(f2951,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2950,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599,f605]) ).
fof(f2949,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2948]) ).
fof(f2948,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553,f599]) ).
fof(f2947,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2946,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544,f553]) ).
fof(f2945,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2944]) ).
fof(f2944,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511,f544]) ).
fof(f2943,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2942]) ).
fof(f2942,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510,f511]) ).
fof(f2941,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f2940,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577,f510]) ).
fof(f2939,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2938]) ).
fof(f2938,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1223,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f1223,plain,
( sk_c5 = inverse(sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8,f1218,f253,f249,f1220,f1221,f17,f1222,f13]) ).
fof(f1222,plain,
( sk_c5 = inverse(sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f13,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8,f1218,f253,f249,f1220,f1221,f17]) ).
fof(f1221,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_6 ),
inference(global_subsumption,[],[f21,f17,f13,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8,f1218,f253,f249,f1220]) ).
fof(f1220,plain,
( ! [X3,X6,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| spl0_6 ),
inference(subsumption_resolution,[],[f27,f248]) ).
fof(f249,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c6,sk_c6)
| spl0_6 ),
inference(superposition,[],[f45,f248]) ).
fof(f253,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(subsumption_resolution,[],[f24,f233]) ).
fof(f1218,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f17,f13,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f253,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| spl0_6 ),
inference(superposition,[],[f3,f248]) ).
fof(f1217,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f17,f13,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f8,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f250,f253,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16]) ).
fof(f1216,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f17,f13,f5,f26,f27,f4,f1,f2,f9,f3,f45,f18,f16,f14,f8,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f250,f253,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20]) ).
fof(f423,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| spl0_6 ),
inference(superposition,[],[f52,f248]) ).
fof(f716,plain,
( identity = multiply(sk_c7,multiply(sk_c5,inverse(sk_c6)))
| spl0_6 ),
inference(superposition,[],[f600,f248]) ).
fof(f905,plain,
( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
| spl0_6 ),
inference(superposition,[],[f844,f248]) ).
fof(f1057,plain,
( sk_c7 = multiply(sk_c6,inverse(sk_c5))
| spl0_6 ),
inference(superposition,[],[f938,f248]) ).
fof(f248,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| spl0_6 ),
inference(subsumption_resolution,[],[f22,f233]) ).
fof(f233,plain,
( sk_c7 != inverse(sk_c2)
| spl0_6 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2937,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1222,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f2935,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2934]) ).
fof(f2934,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1225,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f1225,plain,
( sk_c5 = inverse(sk_c6)
| spl0_6 ),
inference(subsumption_resolution,[],[f21,f233]) ).
fof(f2933,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2932]) ).
fof(f2932,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1224,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f1224,plain,
( sk_c5 = inverse(sk_c6)
| spl0_6 ),
inference(global_subsumption,[],[f21,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8,f1218,f253,f249,f1220,f1221,f17,f1222,f13,f1223,f5]) ).
fof(f2931,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2930]) ).
fof(f2930,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_9 ),
inference(global_subsumption,[],[f2783,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f2783,plain,
( ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f203,f528]) ).
fof(f203,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl0_3
<=> ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2929,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2928]) ).
fof(f2928,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841,f577]) ).
fof(f2927,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2926]) ).
fof(f2926,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868,f841]) ).
fof(f2925,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2924,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35,f868]) ).
fof(f2923,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2922]) ).
fof(f2922,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90,f35]) ).
fof(f2921,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133,f90]) ).
fof(f2919,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2918]) ).
fof(f2918,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110,f133]) ).
fof(f2917,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2916]) ).
fof(f2916,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157,f110]) ).
fof(f2915,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2914,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91,f157]) ).
fof(f2913,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2912]) ).
fof(f2912,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30,f91]) ).
fof(f2911,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2910,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12,f30]) ).
fof(f2909,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2908,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f2399,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12]) ).
fof(f2399,plain,
( identity = multiply(sk_c7,multiply(sk_c5,inverse(sk_c6)))
| ~ spl0_8 ),
inference(superposition,[],[f600,f1396]) ).
fof(f1396,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl0_8
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2907,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2906]) ).
fof(f2906,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f2398,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12]) ).
fof(f2398,plain,
( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
| ~ spl0_8 ),
inference(superposition,[],[f844,f1396]) ).
fof(f2905,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2904]) ).
fof(f2904,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5,f11,f12]) ).
fof(f2903,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2902,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5,f11]) ).
fof(f2901,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2900,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f230,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5]) ).
fof(f2899,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2898]) ).
fof(f2898,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f580,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5]) ).
fof(f580,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f545,f230]) ).
fof(f2897,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2896]) ).
fof(f2896,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8,f5]) ).
fof(f2895,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2894]) ).
fof(f2894,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2723,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8]) ).
fof(f2723,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| sk_c5 = inverse(sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f13,f1684]) ).
fof(f2893,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
fof(f2892,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2891,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8]) ).
fof(f2891,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f17,f1684]) ).
fof(f2890,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2889]) ).
fof(f2889,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f2729,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8]) ).
fof(f2729,plain,
( ! [X3,X6,X5] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f27,f1396]) ).
fof(f2888,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2887]) ).
fof(f2887,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7,f8]) ).
fof(f2886,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2885]) ).
fof(f2885,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21,f7]) ).
fof(f2884,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2883]) ).
fof(f2883,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2882,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21]) ).
fof(f2882,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| sk_c7 = inverse(sk_c4)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f15,f1684]) ).
fof(f2881,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2880]) ).
fof(f2880,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2879,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21]) ).
fof(f2879,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f19,f1684]) ).
fof(f2878,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2877]) ).
fof(f2877,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2876,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21]) ).
fof(f2876,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f20,f1684]) ).
fof(f2875,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2874,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2759,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21]) ).
fof(f2759,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f16,f1684]) ).
fof(f2873,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2872]) ).
fof(f2872,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24,f21]) ).
fof(f2871,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2870]) ).
fof(f2870,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81,f24]) ).
fof(f2869,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2868,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f233,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f2867,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2866,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1467,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f1467,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1459,f577]) ).
fof(f1459,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f52,f1421]) ).
fof(f1421,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f1219,f1409]) ).
fof(f1409,plain,
( sk_c7 = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1408,f1364]) ).
fof(f1364,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1363,f230]) ).
fof(f1363,plain,
( inverse(sk_c4) = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1358,f35]) ).
fof(f1358,plain,
( inverse(sk_c4) = multiply(sk_c5,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f844,f1314]) ).
fof(f1408,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1402,f1316]) ).
fof(f1402,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f45,f1396]) ).
fof(f2865,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
fof(f2864,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1421,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f2863,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2862,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1418,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f1418,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f236,f1409]) ).
fof(f2861,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2860]) ).
fof(f2860,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1417,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f1417,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f230,f1409]) ).
fof(f2859,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2858,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1410,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f1410,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1403,f577]) ).
fof(f1403,plain,
( sk_c7 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_8 ),
inference(superposition,[],[f938,f1396]) ).
fof(f2857,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2856,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1409,f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f2855,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2854,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122,f81]) ).
fof(f2853,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2852,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38,f122]) ).
fof(f2851,plain,
( spl0_1
| ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2850]) ).
fof(f2850,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f122,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1399,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30,f38]) ).
fof(f2849,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2848]) ).
fof(f2848,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f122,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110,f157,f91,f30]) ).
fof(f1687,plain,
( identity != multiply(identity,sk_c6)
| spl0_11 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f1690,plain,
( identity != sk_c6
| spl0_11 ),
inference(superposition,[],[f1687,f1]) ).
fof(f2260,plain,
( identity != sk_c6
| spl0_11 ),
inference(superposition,[],[f1687,f1]) ).
fof(f2847,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2846]) ).
fof(f2846,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2845,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f122,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110,f157,f91]) ).
fof(f2845,plain,
( identity = inverse(sk_c4)
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f38,f1400]) ).
fof(f1400,plain,
( identity = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f2844,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2843,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f114,f122,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110,f157,f91]) ).
fof(f2842,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2841,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110,f157]) ).
fof(f2840,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2839,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2838,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f157,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110]) ).
fof(f2838,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f81,f1400]) ).
fof(f2837,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2836]) ).
fof(f2836,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f157,f171,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133,f110]) ).
fof(f2835,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2834]) ).
fof(f2834,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90,f133]) ).
fof(f2833,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2832,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35,f90]) ).
fof(f2831,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2830,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868,f35]) ).
fof(f2829,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2828]) ).
fof(f2828,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f35,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841,f868]) ).
fof(f2827,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2826,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f868,f35,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577,f841]) ).
fof(f2825,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2824]) ).
fof(f2824,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1667,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577]) ).
fof(f1667,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1666,f1400]) ).
fof(f1666,plain,
( identity = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1665,f1409]) ).
fof(f1665,plain,
( identity = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1645,f1316]) ).
fof(f1645,plain,
( identity = inverse(multiply(sk_c6,sk_c6))
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f1630,f600]) ).
fof(f1630,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1237,f1536]) ).
fof(f1536,plain,
( sk_c6 = sk_c5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1525,f528]) ).
fof(f1525,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_9 ),
inference(superposition,[],[f4,f1400]) ).
fof(f2823,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
fof(f2822,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687,f577]) ).
fof(f2821,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2820]) ).
fof(f2820,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1668,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1668,plain,
( identity = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1646,f1316]) ).
fof(f1646,plain,
( identity = inverse(multiply(sk_c6,sk_c6))
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f600,f1630]) ).
fof(f2819,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
fof(f2818,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1593,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1593,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f1549,f1316]) ).
fof(f1549,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f1236,f1536]) ).
fof(f2817,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2816]) ).
fof(f2816,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1594,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1594,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f1316,f1549]) ).
fof(f2815,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2814]) ).
fof(f2814,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1670,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1670,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1669,f1400]) ).
fof(f1669,plain,
( identity = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1668,f1409]) ).
fof(f2813,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2812]) ).
fof(f2812,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2811,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2811,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1409,f1400]) ).
fof(f2810,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2809]) ).
fof(f2809,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2808,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2808,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1410,f1400]) ).
fof(f2807,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2805,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2805,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1417,f1400]) ).
fof(f2803,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2802]) ).
fof(f2802,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2801,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2801,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1421,f1400]) ).
fof(f2800,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2088,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2088,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1646,f1549]) ).
fof(f2798,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2797,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2089,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2089,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1645,f1549]) ).
fof(f2796,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2795]) ).
fof(f2795,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1533,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1533,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1417,f1400]) ).
fof(f2794,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2793,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1547,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1547,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f577,f1536]) ).
fof(f2792,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2791,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2790,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2790,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1467,f1400]) ).
fof(f2789,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2788]) ).
fof(f2788,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1780,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f1780,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1417,f1400]) ).
fof(f2787,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2786]) ).
fof(f2786,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1665,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2785,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2784,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_11 ),
inference(global_subsumption,[],[f2783,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2782,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2781]) ).
fof(f2781,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2780,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2780,plain,
( identity != inverse(sk_c2)
| spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f233,f1400]) ).
fof(f2779,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2778]) ).
fof(f2778,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1224,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2777,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2776,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1225,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2775,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2774,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1222,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2773,plain,
( spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2772,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_6
| spl0_11 ),
inference(global_subsumption,[],[f1223,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2771,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2770]) ).
fof(f2770,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690,f1687]) ).
fof(f2769,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2768]) ).
fof(f2768,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510,f1690]) ).
fof(f2767,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2766,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2765,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2765,plain,
( identity = multiply(sk_c4,sk_c6)
| identity = inverse(sk_c2)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2764,f1400]) ).
fof(f2764,plain,
( identity = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f24,f1400]) ).
fof(f2763,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2762]) ).
fof(f2762,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2761,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2761,plain,
( identity = inverse(sk_c2)
| sk_c5 = inverse(sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f21,f1400]) ).
fof(f2758,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2757]) ).
fof(f2757,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f2756,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2756,plain,
( identity = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2755,f1400]) ).
fof(f2755,plain,
( sk_c6 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2754,f1684]) ).
fof(f2754,plain,
( sk_c3 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f20,f1400]) ).
fof(f2753,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2752,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f2751,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2751,plain,
( sk_c6 = multiply(sk_c2,identity)
| identity = inverse(sk_c4)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2750,f1684]) ).
fof(f2750,plain,
( sk_c3 = multiply(sk_c2,identity)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2749,f1400]) ).
fof(f2749,plain,
( identity = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f19,f1400]) ).
fof(f2745,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2744]) ).
fof(f2744,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2743,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2743,plain,
( identity = multiply(sk_c1,sk_c6)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2742,f1400]) ).
fof(f2742,plain,
( identity = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f7,f1400]) ).
fof(f2741,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2740]) ).
fof(f2740,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2739,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2739,plain,
( identity = multiply(sk_c4,sk_c6)
| identity = multiply(sk_c1,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2738,f1400]) ).
fof(f2738,plain,
( identity = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f8,f1400]) ).
fof(f2737,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2736]) ).
fof(f2736,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2735,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2735,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2734,f1400]) ).
fof(f2734,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,sk_c6)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2733,f1400]) ).
fof(f2733,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2732,f528]) ).
fof(f2732,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2731,f1400]) ).
fof(f2731,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2730,f1400]) ).
fof(f2730,plain,
( ! [X3,X6,X5] :
( identity != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2729,f1400]) ).
fof(f2728,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2727,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f2726,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2726,plain,
( sk_c6 = multiply(sk_c2,identity)
| sk_c5 = inverse(sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2725,f1684]) ).
fof(f2725,plain,
( sk_c3 = multiply(sk_c2,identity)
| sk_c5 = inverse(sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f17,f1400]) ).
fof(f2722,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2721]) ).
fof(f2721,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2720,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2720,plain,
( identity = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f5,f1400]) ).
fof(f2719,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2718]) ).
fof(f2718,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2717,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2717,plain,
( sk_c4 = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f580,f1400]) ).
fof(f2716,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2715]) ).
fof(f2715,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2714,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2714,plain,
( identity = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f230,f1400]) ).
fof(f2713,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2712,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2711,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2711,plain,
( identity = inverse(sk_c4)
| sk_c6 = inverse(sk_c1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f11,f1400]) ).
fof(f2710,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
fof(f2709,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2708,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2708,plain,
( identity = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f12,f1400]) ).
fof(f2707,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2706]) ).
fof(f2706,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511,f510]) ).
fof(f2705,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2704]) ).
fof(f2704,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544,f511]) ).
fof(f2703,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2702]) ).
fof(f2702,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553,f544]) ).
fof(f2701,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2700,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599,f553]) ).
fof(f2699,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2698]) ).
fof(f2698,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f553,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605,f599]) ).
fof(f2697,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2696]) ).
fof(f2696,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f599,f553,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212,f605]) ).
fof(f2695,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2694]) ).
fof(f2694,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f605,f599,f553,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213,f1212]) ).
fof(f2693,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2692,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f605,f599,f1212,f553,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830,f1213]) ).
fof(f2691,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833,f830]) ).
fof(f2689,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2688]) ).
fof(f2688,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843,f833]) ).
fof(f2687,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2686,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f833,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849,f843]) ).
fof(f2685,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2684]) ).
fof(f2684,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f843,f833,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935,f849]) ).
fof(f2683,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2682]) ).
fof(f2682,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f849,f843,f833,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409,f935]) ).
fof(f2681,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2680,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654,f409]) ).
fof(f2679,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2678]) ).
fof(f2678,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659,f654]) ).
fof(f2677,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2676]) ).
fof(f2676,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197,f659]) ).
fof(f2675,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
fof(f2674,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198,f1197]) ).
fof(f2673,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2672,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1197,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034,f1198]) ).
fof(f2671,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2670]) ).
fof(f2670,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f926,f1197,f1198,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193,f1034]) ).
fof(f2669,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2668,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1034,f926,f1197,f1198,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884,f1193]) ).
fof(f2667,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2666]) ).
fof(f2666,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199,f884]) ).
fof(f2665,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2664,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185,f1199]) ).
fof(f2663,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2662]) ).
fof(f2662,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191,f2185]) ).
fof(f2661,plain,
( spl0_1
| ~ spl0_2
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
fof(f2660,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687,f2191]) ).
fof(f2659,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2658]) ).
fof(f2658,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2657,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687]) ).
fof(f2657,plain,
( inverse(identity) = multiply(sk_c5,inverse(sk_c6))
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2398,f1400]) ).
fof(f2656,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2655]) ).
fof(f2655,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f2654,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687]) ).
fof(f2654,plain,
( identity = multiply(identity,multiply(sk_c5,inverse(sk_c6)))
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2399,f1400]) ).
fof(f2653,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2652,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f840,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687]) ).
fof(f2651,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2650]) ).
fof(f2650,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f1529,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687]) ).
fof(f1529,plain,
( sk_c4 = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f580,f1400]) ).
fof(f2649,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2648,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f861,f26,f4,f1,f2,f9,f30,f37,f38,f39,f40,f41,f3,f47,f49,f53,f55,f58,f54,f59,f62,f45,f63,f64,f67,f69,f73,f75,f72,f76,f66,f79,f81,f83,f84,f85,f86,f87,f90,f92,f98,f94,f96,f99,f91,f114,f122,f125,f128,f133,f157,f171,f110,f185,f74,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f1228,f1229,f1230,f1231,f24,f22,f841,f868,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f1236,f1241,f1066,f2179,f2187,f2188,f2189,f2190,f2260,f1896,f1892,f2265,f2172,f2266,f2173,f1048,f663,f2267,f1264,f1232,f1244,f1262,f1257,f1353,f1242,f1305,f1237,f2340,f419,f16,f20,f18,f14,f1053,f1205,f1210,f19,f15,f7,f414,f896,f1207,f712,f901,f8,f6,f27,f17,f13,f5,f1690,f1687]) ).
fof(f2647,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2646]) ).
fof(f2646,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628,f2634,f2621,f2622,f2641,f2645]) ).
fof(f2645,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2644,f1776]) ).
fof(f2644,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2624,f2541]) ).
fof(f2624,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f2351,f1776]) ).
fof(f2641,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2623,f836]) ).
fof(f2623,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f579,f1776]) ).
fof(f2622,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f211,f1776]) ).
fof(f2621,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f208,f1776]) ).
fof(f2634,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2633,f1]) ).
fof(f2633,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,X0)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2632,f1776]) ).
fof(f2632,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2631,f2541]) ).
fof(f2631,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2620,f1]) ).
fof(f2620,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(identity,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f45,f1776]) ).
fof(f2628,plain,
( identity != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2619,f836]) ).
fof(f2619,plain,
( sk_c5 != inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f34,f1776]) ).
fof(f2627,plain,
( identity = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2626,f1776]) ).
fof(f2626,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2625,f2541]) ).
fof(f2625,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2618,f1]) ).
fof(f2618,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f4,f1776]) ).
fof(f1776,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f1775]) ).
fof(f1775,plain,
( identity = sk_c6
| identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1774,f1400]) ).
fof(f1774,plain,
( sk_c6 = sk_c7
| identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1773,f1]) ).
fof(f1773,plain,
( sk_c7 = multiply(identity,sk_c6)
| identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1738,f1543]) ).
fof(f1738,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1730,f1543]) ).
fof(f1730,plain,
( sk_c6 = sk_c4
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1729,f1684]) ).
fof(f1729,plain,
( sk_c4 = sk_c3
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1728,f528]) ).
fof(f1728,plain,
( sk_c3 = multiply(sk_c4,identity)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1727,f1291]) ).
fof(f1727,plain,
( sk_c3 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f20,f1400]) ).
fof(f2617,plain,
( sk_c6 = inverse(sk_c4)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f230,f2541]) ).
fof(f2616,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1529,f836]) ).
fof(f2615,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1291,f2549]) ).
fof(f1543,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1529,f836]) ).
fof(f2614,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2613,f579]) ).
fof(f2613,plain,
( inverse(sk_c6) = sk_c4
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f580,f2541]) ).
fof(f2472,plain,
( identity = sk_c6
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2465,f2]) ).
fof(f2465,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f52,f2456]) ).
fof(f2612,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2441,f579]) ).
fof(f2441,plain,
( inverse(sk_c6) = sk_c4
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f580,f2438]) ).
fof(f2446,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2441,f579]) ).
fof(f2467,plain,
( identity = sk_c6
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2462,f530]) ).
fof(f2462,plain,
( sk_c6 = multiply(sk_c6,inverse(sk_c6))
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f938,f2456]) ).
fof(f2470,plain,
( identity = inverse(sk_c6)
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2463,f530]) ).
fof(f2463,plain,
( inverse(sk_c6) = multiply(sk_c6,inverse(sk_c6))
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f844,f2456]) ).
fof(f2577,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2576,f2541]) ).
fof(f2576,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f2345,f1684]) ).
fof(f2570,plain,
( identity = sk_c6
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f2541,f1400]) ).
fof(f2575,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2574,f528]) ).
fof(f2574,plain,
( sk_c3 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2569,f2549]) ).
fof(f2569,plain,
( sk_c3 = multiply(sk_c2,identity)
| spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f2346,f1400]) ).
fof(f2568,plain,
( sk_c6 = multiply(identity,sk_c3)
| spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f2345,f1400]) ).
fof(f2573,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2566,f836]) ).
fof(f2566,plain,
( sk_c2 = inverse(identity)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1253,f1400]) ).
fof(f2572,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2565,f1]) ).
fof(f2565,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_9 ),
inference(superposition,[],[f45,f1400]) ).
fof(f2571,plain,
( sk_c6 = sk_c5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2564,f528]) ).
fof(f2564,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_9 ),
inference(superposition,[],[f4,f1400]) ).
fof(f2563,plain,
( identity = sk_c6
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1400,f2541]) ).
fof(f2227,plain,
( sk_c6 = sk_c3
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f2226,f26,f4,f1,f2,f9,f3,f45,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f21,f5,f13,f17,f27,f8,f16,f20,f18,f14,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1684]) ).
fof(f2561,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2119,f836]) ).
fof(f2119,plain,
( sk_c7 = inverse(identity)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f234,f2101]) ).
fof(f2101,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2100,f2]) ).
fof(f2100,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1248,f1400]) ).
fof(f2560,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2105,f836]) ).
fof(f2105,plain,
( sk_c2 = inverse(identity)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1253,f1400]) ).
fof(f2508,plain,
( identity = sk_c2
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f1253,f2494]) ).
fof(f2526,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2516,f836]) ).
fof(f2516,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f545,f2494]) ).
fof(f2519,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2511,f2]) ).
fof(f2511,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f411,f2494]) ).
fof(f2559,plain,
( identity = inverse(sk_c6)
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2494,f2541]) ).
fof(f2507,plain,
( identity = sk_c2
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f2494,f1253]) ).
fof(f2554,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2553,f2541]) ).
fof(f2553,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2552,f2351]) ).
fof(f2552,plain,
( multiply(sk_c1,sk_c6) = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2550,f2541]) ).
fof(f2550,plain,
( sk_c3 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f2346,f2549]) ).
fof(f2549,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2544,f579]) ).
fof(f2544,plain,
( inverse(sk_c6) = sk_c2
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1253,f2541]) ).
fof(f2548,plain,
( sk_c3 = multiply(sk_c2,sk_c6)
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f2346,f2541]) ).
fof(f2547,plain,
( sk_c6 = multiply(sk_c6,sk_c3)
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f2345,f2541]) ).
fof(f2543,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f45,f2541]) ).
fof(f2542,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f4,f2541]) ).
fof(f2541,plain,
( sk_c6 = sk_c7
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2540,f2345]) ).
fof(f2540,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2536,f234]) ).
fof(f2536,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c3)
| spl0_2 ),
inference(superposition,[],[f52,f2346]) ).
fof(f2537,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c3,X0)
| spl0_2 ),
inference(superposition,[],[f3,f2346]) ).
fof(f2535,plain,
( identity = multiply(sk_c2,multiply(sk_c7,inverse(sk_c3)))
| spl0_2 ),
inference(superposition,[],[f600,f2346]) ).
fof(f2539,plain,
( sk_c7 = multiply(sk_c7,inverse(sk_c3))
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2534,f234]) ).
fof(f2534,plain,
( inverse(sk_c2) = multiply(sk_c7,inverse(sk_c3))
| spl0_2 ),
inference(superposition,[],[f844,f2346]) ).
fof(f2538,plain,
( sk_c2 = multiply(sk_c3,sk_c2)
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2533,f1253]) ).
fof(f2533,plain,
( sk_c2 = multiply(sk_c3,inverse(sk_c7))
| spl0_2 ),
inference(superposition,[],[f938,f2346]) ).
fof(f2346,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f414,f409,f34,f21,f5,f13,f17,f27,f8,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f15,f19,f1210,f1205,f1053,f14,f18,f419,f16,f2345,f20]) ).
fof(f2355,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f5,f13,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17]) ).
fof(f2349,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f414,f409,f34,f21,f5,f13,f17,f27,f8,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f15,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19]) ).
fof(f2531,plain,
( sk_c3 = multiply(sk_c2,sk_c6)
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2410,f1253]) ).
fof(f2410,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c6)
| spl0_2 ),
inference(superposition,[],[f52,f2345]) ).
fof(f2530,plain,
( sk_c2 = multiply(sk_c3,sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2412,f1253]) ).
fof(f2412,plain,
( inverse(sk_c7) = multiply(sk_c3,sk_c1)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f2408,f579]) ).
fof(f2408,plain,
( inverse(sk_c7) = multiply(sk_c3,inverse(sk_c6))
| spl0_2 ),
inference(superposition,[],[f844,f2345]) ).
fof(f2529,plain,
( ! [X0] : multiply(X0,sk_c7) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2518,f528]) ).
fof(f2518,plain,
( ! [X0] : multiply(multiply(X0,identity),sk_c7) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f1066,f2494]) ).
fof(f2517,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),identity) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f938,f2494]) ).
fof(f2525,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2515,f1]) ).
fof(f2515,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f531,f2494]) ).
fof(f2514,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f530,f2494]) ).
fof(f2524,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2513,f545]) ).
fof(f2513,plain,
( identity = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f484,f2494]) ).
fof(f2523,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2522,f1]) ).
fof(f2522,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2512,f836]) ).
fof(f2512,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(identity),X0)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f412,f2494]) ).
fof(f2510,plain,
( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f52,f2494]) ).
fof(f2509,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f2,f2494]) ).
fof(f2494,plain,
( identity = inverse(sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2493,f208]) ).
fof(f2493,plain,
( multiply(sk_c6,sk_c1) = inverse(sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2412,f1684]) ).
fof(f2504,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
| ~ spl0_6 ),
inference(superposition,[],[f1066,f1253]) ).
fof(f2503,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c2) = X0
| ~ spl0_6 ),
inference(superposition,[],[f938,f1253]) ).
fof(f2501,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f531,f1253]) ).
fof(f2500,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f530,f1253]) ).
fof(f2506,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2499,f545]) ).
fof(f2499,plain,
( identity = multiply(inverse(inverse(sk_c2)),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f484,f1253]) ).
fof(f2496,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f52,f1253]) ).
fof(f2495,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f2,f1253]) ).
fof(f1253,plain,
( sk_c2 = inverse(sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f545,f234]) ).
fof(f2492,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c6)
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2410,f1684]) ).
fof(f2491,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2346,f1684]) ).
fof(f2490,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2349,f1684]) ).
fof(f2489,plain,
( sk_c6 = multiply(sk_c6,inverse(sk_c7))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f2420,f31]) ).
fof(f2420,plain,
( inverse(sk_c1) = multiply(sk_c6,inverse(sk_c7))
| spl0_2 ),
inference(superposition,[],[f844,f2351]) ).
fof(f2421,plain,
( identity = multiply(sk_c1,multiply(sk_c6,inverse(sk_c7)))
| spl0_2 ),
inference(superposition,[],[f600,f2351]) ).
fof(f2488,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2355,f1684]) ).
fof(f2455,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f2345,f1684]) ).
fof(f1246,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f2,f234]) ).
fof(f2466,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f3,f2456]) ).
fof(f2471,plain,
( identity = multiply(sk_c6,identity)
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2464,f530]) ).
fof(f2464,plain,
( identity = multiply(sk_c6,multiply(sk_c6,inverse(sk_c6)))
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f600,f2456]) ).
fof(f2456,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2455,f2438]) ).
fof(f2451,plain,
( sk_c6 = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2450,f2438]) ).
fof(f2450,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2449,f2351]) ).
fof(f2449,plain,
( multiply(sk_c1,sk_c6) = sk_c3
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2447,f2438]) ).
fof(f2447,plain,
( sk_c3 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f2416,f2446]) ).
fof(f2445,plain,
( multiply(sk_c4,sk_c6) = sk_c3
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f2416,f2438]) ).
fof(f2444,plain,
( sk_c6 = multiply(sk_c6,sk_c3)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f2345,f2438]) ).
fof(f2440,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f45,f2438]) ).
fof(f2439,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f4,f2438]) ).
fof(f2438,plain,
( sk_c6 = sk_c7
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2437,f2345]) ).
fof(f2437,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2433,f230]) ).
fof(f2433,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c3)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f52,f2416]) ).
fof(f2434,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c3,X0)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f2416]) ).
fof(f2432,plain,
( identity = multiply(sk_c4,multiply(sk_c7,inverse(sk_c3)))
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f600,f2416]) ).
fof(f2436,plain,
( sk_c7 = multiply(sk_c7,inverse(sk_c3))
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2431,f230]) ).
fof(f2431,plain,
( inverse(sk_c4) = multiply(sk_c7,inverse(sk_c3))
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f844,f2416]) ).
fof(f2435,plain,
( sk_c4 = multiply(sk_c3,sk_c4)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2430,f580]) ).
fof(f2430,plain,
( sk_c4 = multiply(sk_c3,inverse(sk_c7))
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f938,f2416]) ).
fof(f2416,plain,
( sk_c3 = multiply(sk_c4,sk_c7)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2346,f1291]) ).
fof(f2429,plain,
( sk_c3 = multiply(sk_c4,sk_c7)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2355,f1291]) ).
fof(f2423,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| spl0_2 ),
inference(superposition,[],[f3,f2351]) ).
fof(f2428,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f2422,f31]) ).
fof(f2422,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| spl0_2 ),
inference(superposition,[],[f52,f2351]) ).
fof(f2427,plain,
( identity = multiply(sk_c1,multiply(sk_c6,sk_c4))
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2421,f580]) ).
fof(f2426,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2425,f31]) ).
fof(f2425,plain,
( inverse(sk_c1) = multiply(sk_c6,sk_c4)
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2420,f580]) ).
fof(f2424,plain,
( sk_c1 = multiply(sk_c7,sk_c1)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f2419,f579]) ).
fof(f2419,plain,
( sk_c1 = multiply(sk_c7,inverse(sk_c6))
| spl0_2 ),
inference(superposition,[],[f938,f2351]) ).
fof(f2418,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f211,f2351]) ).
fof(f2351,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f414,f409,f34,f21,f5,f13,f17,f27,f8,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7]) ).
fof(f2417,plain,
( sk_c3 = multiply(sk_c4,sk_c7)
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2349,f1291]) ).
fof(f2411,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| spl0_2 ),
inference(superposition,[],[f3,f2345]) ).
fof(f2415,plain,
( multiply(sk_c4,sk_c6) = sk_c3
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2410,f580]) ).
fof(f2414,plain,
( identity = multiply(sk_c7,multiply(sk_c3,sk_c1))
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f2409,f579]) ).
fof(f2409,plain,
( identity = multiply(sk_c7,multiply(sk_c3,inverse(sk_c6)))
| spl0_2 ),
inference(superposition,[],[f600,f2345]) ).
fof(f2413,plain,
( sk_c4 = multiply(sk_c3,sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2412,f580]) ).
fof(f2407,plain,
( sk_c7 = multiply(sk_c6,inverse(sk_c3))
| spl0_2 ),
inference(superposition,[],[f938,f2345]) ).
fof(f2406,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c3)
| spl0_2 ),
inference(superposition,[],[f45,f2345]) ).
fof(f2345,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f414,f409,f34,f21,f5,f13,f17,f27,f8,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f15,f19,f1210,f1205,f1053,f14,f18,f20,f419,f16]) ).
fof(f2392,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
| ~ spl0_5 ),
inference(superposition,[],[f1066,f580]) ).
fof(f2391,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
| ~ spl0_5 ),
inference(superposition,[],[f938,f580]) ).
fof(f2389,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f531,f580]) ).
fof(f2388,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f530,f580]) ).
fof(f2394,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2387,f545]) ).
fof(f2387,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f484,f580]) ).
fof(f2384,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f52,f580]) ).
fof(f2383,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f580]) ).
fof(f2370,plain,
( sk_c5 != sk_c1
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f34,f579]) ).
fof(f2380,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c6) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1066,f579]) ).
fof(f2379,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f938,f579]) ).
fof(f2382,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2375,f545]) ).
fof(f2375,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f484,f579]) ).
fof(f2372,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f52,f579]) ).
fof(f2371,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f2,f579]) ).
fof(f579,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f545,f31]) ).
fof(f2368,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
| ~ spl0_5 ),
inference(superposition,[],[f1066,f230]) ).
fof(f2367,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
| ~ spl0_5 ),
inference(superposition,[],[f938,f230]) ).
fof(f2366,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f545,f230]) ).
fof(f2365,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f531,f230]) ).
fof(f2364,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f530,f230]) ).
fof(f2369,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2363,f545]) ).
fof(f2363,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f484,f230]) ).
fof(f2362,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(superposition,[],[f412,f230]) ).
fof(f2361,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f411,f230]) ).
fof(f2360,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f52,f230]) ).
fof(f2359,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f230]) ).
fof(f2358,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f234,f1291]) ).
fof(f1291,plain,
( sk_c4 = sk_c2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1253,f580]) ).
fof(f34,plain,
( sk_c5 != inverse(sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f2357,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5]) ).
fof(f2356,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f5,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13]) ).
fof(f2354,plain,
( sk_c5 != inverse(sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f5,f13,f17,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27]) ).
fof(f1195,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f897,f938]) ).
fof(f897,plain,
( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c1,X0),inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f844,f211]) ).
fof(f597,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f530,f31]) ).
fof(f2353,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f5,f13,f17,f27,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8,f2352,f6]) ).
fof(f2352,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f34,f21,f5,f13,f17,f27,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15,f2350,f7,f2351,f414,f896,f1207,f712,f901,f8]) ).
fof(f420,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f52,f208]) ).
fof(f482,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f411,f31]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f531,f31]) ).
fof(f1721,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1720,f528]) ).
fof(f1720,plain,
( inverse(sk_c6) = multiply(sk_c1,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f902,f836]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(superposition,[],[f52,f211]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_1 ),
inference(superposition,[],[f412,f31]) ).
fof(f1049,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c1,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f938,f211]) ).
fof(f1069,plain,
( ! [X0] : multiply(multiply(X0,sk_c1),sk_c6) = X0
| ~ spl0_1 ),
inference(superposition,[],[f938,f31]) ).
fof(f2174,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c1) = X0
| ~ spl0_1 ),
inference(superposition,[],[f1066,f31]) ).
fof(f929,plain,
( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c6,inverse(X0))
| ~ spl0_1 ),
inference(superposition,[],[f211,f844]) ).
fof(f2350,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| spl0_2 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f414,f409,f34,f21,f5,f13,f17,f27,f8,f6,f24,f22,f1066,f2179,f2187,f2188,f2189,f2190,f1048,f663,f419,f16,f2345,f20,f2346,f18,f14,f1053,f1205,f1210,f19,f2349,f15]) ).
fof(f1251,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f530,f234]) ).
fof(f1255,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1250,f545]) ).
fof(f1250,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f484,f234]) ).
fof(f1248,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_6 ),
inference(superposition,[],[f411,f234]) ).
fof(f1247,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f52,f234]) ).
fof(f1249,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
| ~ spl0_6 ),
inference(superposition,[],[f412,f234]) ).
fof(f1254,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
| ~ spl0_6 ),
inference(superposition,[],[f938,f234]) ).
fof(f1252,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f531,f234]) ).
fof(f2175,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c2) = X0
| ~ spl0_6 ),
inference(superposition,[],[f1066,f234]) ).
fof(f2236,plain,
( identity = multiply(sk_c4,sk_c6)
| identity = sk_c3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2235,f1400]) ).
fof(f2235,plain,
( identity = sk_c3
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2234,f1]) ).
fof(f2234,plain,
( sk_c3 = multiply(identity,identity)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1727,f2101]) ).
fof(f2226,plain,
( identity = multiply(sk_c4,sk_c6)
| sk_c6 = sk_c3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1621,f1400]) ).
fof(f1621,plain,
( sk_c6 = sk_c3
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1620,f1]) ).
fof(f1620,plain,
( sk_c6 = multiply(identity,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f16,f1400]) ).
fof(f2108,plain,
( sk_c3 = multiply(sk_c2,identity)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2107,f1400]) ).
fof(f2107,plain,
( identity = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f19,f1400]) ).
fof(f2106,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2105,f836]) ).
fof(f2104,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1246,f1400]) ).
fof(f2103,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1251,f1400]) ).
fof(f2102,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1255,f1400]) ).
fof(f2090,plain,
( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1247,f1400]) ).
fof(f1701,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1700,f1]) ).
fof(f1700,plain,
( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = X0
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1252,f1400]) ).
fof(f1854,plain,
( ! [X0] : multiply(multiply(X0,sk_c2),identity) = X0
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1254,f1400]) ).
fof(f2078,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2077,f1]) ).
fof(f2077,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,X0)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2076,f836]) ).
fof(f2076,plain,
( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c2,X0)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1249,f1400]) ).
fof(f1952,plain,
( identity = sk_c6
| identity = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1951,f1400]) ).
fof(f1951,plain,
( sk_c6 = sk_c7
| identity = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1950,f1]) ).
fof(f1950,plain,
( sk_c7 = multiply(identity,sk_c6)
| identity = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1949,f1543]) ).
fof(f1949,plain,
( identity = sk_c3
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1729,f1543]) ).
fof(f1945,plain,
( identity = sk_c6
| sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1944,f1400]) ).
fof(f1944,plain,
( sk_c6 = sk_c7
| sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1943,f1]) ).
fof(f1943,plain,
( sk_c7 = multiply(identity,sk_c6)
| sk_c6 = sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1621,f1543]) ).
fof(f1537,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1526,f1]) ).
fof(f1526,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_9 ),
inference(superposition,[],[f45,f1400]) ).
fof(f1341,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1334,f1]) ).
fof(f1334,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f598]) ).
fof(f598,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f530,f230]) ).
fof(f1311,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f1219]) ).
fof(f836,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f734,f208]) ).
fof(f734,plain,
( identity = inverse(multiply(sk_c6,sk_c1))
| ~ spl0_1 ),
inference(superposition,[],[f600,f211]) ).
fof(f1276,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
| ~ spl0_5 ),
inference(superposition,[],[f938,f580]) ).
fof(f1278,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1272,f545]) ).
fof(f1272,plain,
( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f484,f580]) ).
fof(f1269,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f52,f580]) ).
fof(f1268,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f580]) ).
fof(f234,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f245,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f45,f240]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(superposition,[],[f52,f240]) ).
fof(f424,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f52,f236]) ).
fof(f483,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f411,f230]) ).
fof(f527,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(superposition,[],[f412,f230]) ).
fof(f646,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f531,f230]) ).
fof(f713,plain,
( identity = multiply(sk_c6,multiply(sk_c1,inverse(identity)))
| ~ spl0_1 ),
inference(superposition,[],[f600,f208]) ).
fof(f717,plain,
( identity = multiply(sk_c7,multiply(sk_c4,inverse(identity)))
| ~ spl0_5 ),
inference(superposition,[],[f600,f236]) ).
fof(f853,plain,
( identity = inverse(identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f748,f208]) ).
fof(f748,plain,
( identity = inverse(multiply(sk_c6,sk_c1))
| ~ spl0_1 ),
inference(superposition,[],[f211,f600]) ).
fof(f902,plain,
( inverse(sk_c6) = multiply(sk_c1,inverse(identity))
| ~ spl0_1 ),
inference(superposition,[],[f844,f208]) ).
fof(f1194,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f903,f938]) ).
fof(f903,plain,
( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c4,X0),inverse(X0))
| ~ spl0_5 ),
inference(superposition,[],[f844,f240]) ).
fof(f906,plain,
( inverse(sk_c7) = multiply(sk_c4,inverse(identity))
| ~ spl0_5 ),
inference(superposition,[],[f844,f236]) ).
fof(f930,plain,
( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c7,inverse(X0))
| ~ spl0_5 ),
inference(superposition,[],[f240,f844]) ).
fof(f1055,plain,
( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c4,X0)))
| ~ spl0_5 ),
inference(superposition,[],[f938,f240]) ).
fof(f1070,plain,
( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
| ~ spl0_5 ),
inference(superposition,[],[f938,f230]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f208]) ).
fof(f208,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f2643,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
fof(f2642,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628,f2634,f2621,f2622,f2641]) ).
fof(f2640,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2639]) ).
fof(f2639,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628,f2634,f2621,f2622]) ).
fof(f2638,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2637]) ).
fof(f2637,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628,f2634,f2621]) ).
fof(f2636,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2635,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628,f2634]) ).
fof(f2630,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2629]) ).
fof(f2629,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f902,f1197,f1198,f935,f1199,f884,f861,f853,f849,f843,f840,f833,f830,f717,f713,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f836,f1219,f1311,f598,f1341,f1537,f1945,f1952,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2236,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f579,f2371,f2372,f2382,f2379,f2380,f2370,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2413,f2414,f2415,f2411,f2417,f2351,f2418,f2424,f2426,f2427,f2428,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2451,f2456,f2471,f2466,f1246,f2455,f2488,f2421,f2489,f2490,f2491,f2492,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2494,f2509,f2510,f2523,f2524,f2514,f2525,f2517,f2529,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2507,f2559,f2519,f2526,f2508,f2560,f2101,f2561,f1536,f2227,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f1684,f2577,f2470,f2467,f2446,f2612,f2472,f2614,f1543,f2615,f2616,f2617,f1776,f2627,f2628]) ).
fof(f2611,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2610,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592,f2598,f2585,f2586,f2605,f2609]) ).
fof(f2609,plain,
( identity = multiply(sk_c1,identity)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2608,f2262]) ).
fof(f2608,plain,
( sk_c6 = multiply(sk_c1,identity)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2588,f2541]) ).
fof(f2588,plain,
( sk_c7 = multiply(sk_c1,identity)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f2351,f2262]) ).
fof(f2605,plain,
( identity = sk_c1
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2587,f836]) ).
fof(f2587,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f579,f2262]) ).
fof(f2586,plain,
( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f211,f2262]) ).
fof(f2585,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f208,f2262]) ).
fof(f2598,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2597,f1]) ).
fof(f2597,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,X0)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2596,f2262]) ).
fof(f2596,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2595,f2541]) ).
fof(f2595,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2584,f1]) ).
fof(f2584,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(identity,multiply(sk_c7,X0))
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f45,f2262]) ).
fof(f2592,plain,
( identity != sk_c5
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2583,f836]) ).
fof(f2583,plain,
( sk_c5 != inverse(identity)
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f34,f2262]) ).
fof(f2591,plain,
( identity = sk_c5
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2590,f2262]) ).
fof(f2590,plain,
( sk_c6 = sk_c5
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2589,f2541]) ).
fof(f2589,plain,
( sk_c7 = sk_c5
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2582,f1]) ).
fof(f2582,plain,
( sk_c5 = multiply(identity,sk_c7)
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f4,f2262]) ).
fof(f2262,plain,
( identity = sk_c6
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2261,f1]) ).
fof(f2261,plain,
( sk_c6 = multiply(identity,identity)
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2231,f2153]) ).
fof(f2118,plain,
( identity != inverse(sk_c4)
| spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f229,f1400]) ).
fof(f2153,plain,
( identity = sk_c3
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2152,f1]) ).
fof(f2152,plain,
( sk_c3 = multiply(identity,identity)
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2151,f2101]) ).
fof(f2151,plain,
( sk_c3 = multiply(sk_c2,identity)
| spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2108,f2118]) ).
fof(f229,plain,
( sk_c7 != inverse(sk_c4)
| spl0_5 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f2257,plain,
( identity = sk_c6
| identity = multiply(sk_c4,sk_c6)
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2226,f2153]) ).
fof(f2237,plain,
( identity = sk_c3
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f21,f5,f13,f17,f27,f8,f16,f20,f18,f14,f6,f24,f22,f234,f1246,f1247,f1248,f1249,f1255,f1251,f1252,f1253,f1254,f1400,f1537,f1536,f1854,f1701,f2090,f2102,f2103,f2104,f2108,f2101,f2118,f1066,f2179,f2187,f2188,f2189,f2190,f2153,f2226,f2231,f2236]) ).
fof(f2231,plain,
( sk_c6 = multiply(identity,sk_c3)
| spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f2110,f2118]) ).
fof(f2110,plain,
( sk_c6 = multiply(identity,sk_c3)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2109,f1400]) ).
fof(f2109,plain,
( identity = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c3)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f15,f1400]) ).
fof(f2607,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2606]) ).
fof(f2606,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592,f2598,f2585,f2586,f2605]) ).
fof(f2604,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2603,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592,f2598,f2585,f2586]) ).
fof(f2602,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2601]) ).
fof(f2601,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592,f2598,f2585]) ).
fof(f2600,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2599]) ).
fof(f2599,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592,f2598]) ).
fof(f2594,plain,
( ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2593,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f31,f208,f211,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1193,f1034,f926,f902,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f1208,f701,f762,f696,f659,f654,f605,f599,f1212,f553,f1213,f544,f511,f510,f409,f21,f24,f22,f234,f836,f1537,f2078,f1854,f1701,f2090,f2102,f2103,f2104,f2106,f2108,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2231,f2236,f2237,f2257,f2175,f1048,f663,f419,f16,f1252,f20,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f19,f15,f2350,f7,f414,f896,f929,f2174,f1069,f1049,f1207,f712,f526,f415,f1721,f901,f645,f482,f420,f8,f2352,f6,f2353,f597,f1195,f27,f2354,f17,f13,f2356,f5,f2357,f34,f579,f2371,f2372,f2382,f2379,f2380,f2370,f2345,f2406,f2407,f2414,f2411,f2351,f2418,f2424,f2428,f2423,f1246,f2421,f2489,f229,f1253,f2495,f2496,f2506,f2500,f2501,f2503,f2504,f2530,f2531,f2349,f2355,f2346,f2538,f2539,f2535,f2537,f2541,f2542,f2543,f2547,f2548,f2549,f2554,f2560,f2153,f2101,f2561,f2118,f1536,f1400,f2563,f2571,f2572,f2573,f2568,f2575,f2570,f2262,f2591,f2592]) ).
fof(f2556,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2555]) ).
fof(f2555,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f2554,f1683]) ).
fof(f1683,plain,
( sk_c6 != sk_c3
| spl0_10 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f2528,plain,
( ~ spl0_1
| spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2527]) ).
fof(f2527,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2526,f1399]) ).
fof(f2521,plain,
( ~ spl0_1
| spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2519,f1399]) ).
fof(f2487,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f2486,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1954,f1965,f1966,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443,f2477,f1953,f1688]) ).
fof(f2477,plain,
( sk_c6 = sk_c5
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1980,f2438]) ).
fof(f2443,plain,
( identity != sk_c6
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9 ),
inference(superposition,[],[f1399,f2438]) ).
fof(f1966,plain,
( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1959,f1]) ).
fof(f1959,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c6,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f1688]) ).
fof(f1965,plain,
( identity = sk_c6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1958,f2]) ).
fof(f1958,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl0_11 ),
inference(superposition,[],[f52,f1688]) ).
fof(f1954,plain,
( identity = sk_c6
| ~ spl0_11 ),
inference(superposition,[],[f1,f1688]) ).
fof(f2485,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2484,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1688,f1954,f1965,f1966,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443,f2477,f1953]) ).
fof(f2483,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2482,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f1970,f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1688,f1954,f1965,f1966,f1953,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443,f2477]) ).
fof(f1970,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f208,f1953]) ).
fof(f2481,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2480,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(global_subsumption,[],[f2139,f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1688,f1954,f1965,f1966,f1953,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443,f2477]) ).
fof(f2479,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2478]) ).
fof(f2478,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1688,f1954,f1965,f1966,f1953,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443,f2477]) ).
fof(f2476,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f12,f10,f11,f23,f236,f240,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1070,f1055,f1193,f1034,f930,f926,f906,f1194,f1197,f1198,f935,f1199,f884,f861,f849,f843,f840,f833,f830,f717,f1208,f701,f762,f696,f659,f654,f646,f605,f599,f1212,f553,f1213,f544,f527,f511,f510,f483,f424,f421,f409,f245,f21,f24,f22,f234,f1268,f1269,f1278,f1276,f1219,f1311,f598,f1341,f1688,f1954,f1965,f1966,f1953,f1066,f2179,f2187,f2188,f2189,f2190,f2175,f1048,f663,f419,f16,f1252,f20,f2346,f18,f1254,f14,f1249,f1247,f1053,f1205,f1210,f1248,f1255,f1251,f1246,f1253,f19,f2349,f15,f2350,f7,f414,f896,f1207,f712,f901,f8,f2352,f6,f2353,f27,f2354,f17,f2355,f13,f2356,f5,f2357,f1399,f34,f1291,f2358,f230,f2359,f2360,f2361,f2362,f2369,f2364,f2365,f2366,f2367,f2368,f580,f2383,f2384,f2394,f2388,f2389,f2391,f2392,f2345,f2406,f2407,f2415,f2411,f2417,f2351,f2427,f2423,f2429,f2416,f2435,f2436,f2432,f2434,f2438,f2439,f2440,f2444,f2445,f2443]) ).
fof(f2474,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2473]) ).
fof(f2473,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f2472,f1690]) ).
fof(f2469,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f2467,f1690]) ).
fof(f2453,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
fof(f2452,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f2451,f1683]) ).
fof(f2344,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2343,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1241,f1368,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693,f1305,f1237,f16,f2340,f1399]) ).
fof(f1693,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f645,f548]) ).
fof(f1233,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f211,f548]) ).
fof(f1469,plain,
( identity = sk_c7
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1468,f1236]) ).
fof(f1468,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8,f548]) ).
fof(f1898,plain,
( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1049,f548]) ).
fof(f1937,plain,
( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1069,f548]) ).
fof(f2269,plain,
( identity = sk_c7
| sk_c7 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2268,f1236]) ).
fof(f2268,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f7,f548]) ).
fof(f2202,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2174,f548]) ).
fof(f2249,plain,
( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c5))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f929,f548]) ).
fof(f1368,plain,
( identity = sk_c7
| sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1367,f1236]) ).
fof(f1367,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6,f548]) ).
fof(f1235,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f31,f548]) ).
fof(f1234,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f208,f548]) ).
fof(f548,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f528,f209]) ).
fof(f590,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f579,f35]) ).
fof(f627,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f626,f35]) ).
fof(f626,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f608,f209]) ).
fof(f608,plain,
( inverse(sk_c6) = multiply(sk_c5,identity)
| ~ spl0_2 ),
inference(superposition,[],[f54,f530]) ).
fof(f1133,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1064,f938]) ).
fof(f1064,plain,
( ! [X0] : sk_c1 = multiply(multiply(sk_c5,X0),inverse(X0))
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f938,f214]) ).
fof(f559,plain,
( sk_c5 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f209,f528]) ).
fof(f221,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f217,f37]) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f211,f214]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f211]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f208]) ).
fof(f2342,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2341]) ).
fof(f2341,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693,f1305,f1237,f16,f2340]) ).
fof(f2339,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2338,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693,f1305,f1237,f16]) ).
fof(f2337,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2336]) ).
fof(f2336,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693,f1305,f1237]) ).
fof(f2335,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2334,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693,f1305]) ).
fof(f2333,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2332,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242,f1693]) ).
fof(f2331,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2330]) ).
fof(f2330,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233,f1242]) ).
fof(f2329,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2328]) ).
fof(f2328,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1252,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233]) ).
fof(f2327,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2326,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353,f1233]) ).
fof(f2325,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2324,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257,f1353]) ).
fof(f2323,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2322,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1266,f1261,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262,f1257]) ).
fof(f2321,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20,f1262]) ).
fof(f2319,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2318,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18,f20]) ).
fof(f2317,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2316,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469,f18]) ).
fof(f2315,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
fof(f2314,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244,f1469]) ).
fof(f2313,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2312]) ).
fof(f2312,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1410,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244]) ).
fof(f2311,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2310]) ).
fof(f2310,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8
| spl0_9 ),
inference(global_subsumption,[],[f1396,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244]) ).
fof(f2309,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2308,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898,f1244]) ).
fof(f2307,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2306,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1254,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898]) ).
fof(f2305,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2304,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232,f1898]) ).
fof(f2303,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2302,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264,f1232]) ).
fof(f2301,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2300]) ).
fof(f2300,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937,f1264]) ).
fof(f2299,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2298]) ).
fof(f2298,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14,f1937]) ).
fof(f2297,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053,f14]) ).
fof(f2295,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2294,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1249,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053]) ).
fof(f2293,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2292,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1247,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053]) ).
fof(f2291,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2290]) ).
fof(f2290,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205,f1053]) ).
fof(f2289,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
fof(f2288,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210,f1205]) ).
fof(f2287,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2286,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19,f1210]) ).
fof(f2285,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2284]) ).
fof(f2284,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1248,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2283,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2282,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1255,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2281,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2280]) ).
fof(f2280,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1251,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2279,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2278]) ).
fof(f2278,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1246,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2277,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2276,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_6
| spl0_9 ),
inference(global_subsumption,[],[f1253,f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2275,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2274]) ).
fof(f2274,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15,f19]) ).
fof(f2273,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2272]) ).
fof(f2272,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f19,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269,f15]) ).
fof(f2271,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2270,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_9 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f37,f3,f54,f59,f62,f45,f67,f74,f19,f15,f12,f10,f7,f11,f31,f208,f209,f213,f211,f214,f217,f221,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1069,f1053,f1049,f1193,f1034,f929,f926,f902,f901,f1195,f896,f1197,f1198,f935,f1199,f884,f1205,f853,f849,f843,f833,f830,f713,f712,f1207,f1208,f701,f762,f696,f659,f654,f645,f1210,f605,f599,f597,f579,f1212,f553,f1213,f544,f526,f511,f510,f482,f420,f419,f415,f414,f409,f21,f1228,f5,f1229,f13,f1230,f17,f1231,f27,f1232,f8,f16,f20,f18,f14,f6,f24,f22,f559,f1133,f627,f841,f590,f868,f548,f1233,f1234,f1235,f35,f1237,f1238,f1239,f1245,f1242,f1243,f1244,f577,f1256,f1257,f1266,f1261,f1262,f1264,f836,f1236,f1305,f1241,f1353,f1368,f1399,f1066,f2179,f2187,f2188,f2189,f2190,f2249,f1896,f1892,f2265,f2172,f2266,f2202,f2173,f1048,f663,f2267,f229,f2269]) ).
fof(f2264,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f2262,f2259]) ).
fof(f2259,plain,
( identity != sk_c6
| spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1683,f2153]) ).
fof(f2256,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2255,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f21,f5,f13,f17,f27,f8,f16,f20,f18,f14,f6,f24,f22,f234,f1246,f1247,f1248,f1249,f1255,f1251,f1252,f1253,f1254,f1400,f1537,f1536,f1854,f1701,f2090,f2102,f2103,f2104,f2108,f2101,f2118,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2227,f2231,f2236,f2237,f1690,f1687,f1684,f2153,f2251,f2252]) ).
fof(f2252,plain,
( identity = sk_c6
| spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1684,f2153]) ).
fof(f2251,plain,
( identity = sk_c6
| spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f2153,f1684]) ).
fof(f2254,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2253,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(global_subsumption,[],[f26,f4,f1,f2,f9,f3,f45,f19,f15,f12,f10,f7,f11,f23,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1073,f1074,f1075,f1076,f1053,f1048,f1193,f1034,f926,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f419,f414,f409,f21,f5,f13,f17,f27,f8,f16,f20,f18,f14,f6,f24,f22,f234,f1246,f1247,f1248,f1249,f1255,f1251,f1252,f1253,f1254,f1400,f1537,f1536,f1854,f1701,f2090,f2102,f2103,f2104,f2108,f2101,f2118,f1066,f2179,f2187,f2188,f2189,f2190,f2226,f2227,f2231,f2236,f2237,f1690,f1687,f1684,f2153,f2251]) ).
fof(f2222,plain,
( spl0_7
| spl0_4
| spl0_4
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2069,f1686,f1398,f33,f205,f205,f1151]) ).
fof(f1151,plain,
( spl0_7
<=> ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f205,plain,
( spl0_4
<=> ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2069,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2068,f1400]) ).
fof(f2068,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2067,f1953]) ).
fof(f2067,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2066,f1400]) ).
fof(f2066,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2065,f1953]) ).
fof(f2065,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2064,f1953]) ).
fof(f2064,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,X5)
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2063,f528]) ).
fof(f2063,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2062,f1400]) ).
fof(f2062,plain,
( ! [X3,X6,X5] :
( identity != inverse(X3)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2061,f1953]) ).
fof(f2061,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f2060,f1400]) ).
fof(f2060,plain,
( ! [X3,X6,X5] :
( identity != sk_c7
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2059,f528]) ).
fof(f2059,plain,
( ! [X3,X6,X5] :
( identity != multiply(sk_c7,identity)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1929,f1953]) ).
fof(f1929,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(sk_c7,sk_c6)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1928,f1536]) ).
fof(f1928,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1927,f1400]) ).
fof(f1927,plain,
( ! [X3,X6,X5] :
( identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1232,f1400]) ).
fof(f2132,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2131,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f2130,f2118]) ).
fof(f2130,plain,
( identity = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2129,f836]) ).
fof(f2129,plain,
( inverse(sk_c4) = inverse(identity)
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2124,f1]) ).
fof(f2124,plain,
( inverse(sk_c4) = multiply(identity,inverse(identity))
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f844,f2058]) ).
fof(f2058,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2057,f1400]) ).
fof(f2057,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2056,f1953]) ).
fof(f2056,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1621,f1683]) ).
fof(f2055,plain,
( spl0_4
| spl0_7
| spl0_4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2024,f1686,f1398,f228,f33,f205,f1151,f205]) ).
fof(f2024,plain,
( ! [X3,X6,X5] :
( identity != inverse(X3)
| identity != multiply(identity,X5)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2023,f1953]) ).
fof(f2023,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,X5)
| identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2022,f1953]) ).
fof(f2022,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2021,f1953]) ).
fof(f2021,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1935,f1953]) ).
fof(f1935,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,sk_c6)
| identity != multiply(X3,sk_c6)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1934,f1400]) ).
fof(f1934,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,sk_c6)
| sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1933,f1400]) ).
fof(f1933,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1932,f528]) ).
fof(f1932,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1931,f1400]) ).
fof(f1931,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1930,f1536]) ).
fof(f1930,plain,
( ! [X3,X6,X5] :
( sk_c6 != sk_c5
| identity != inverse(X5)
| identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1929,f1356]) ).
fof(f1926,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1925,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1924,f545]) ).
fof(f1924,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1911,f844]) ).
fof(f1911,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1910]) ).
fof(f1910,plain,
( ! [X0] :
( identity != identity
| identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
| ~ spl0_7 ),
inference(superposition,[],[f1152,f600]) ).
fof(f1152,plain,
( ! [X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1917,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1916,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1912,f545]) ).
fof(f1912,plain,
( identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1907]) ).
fof(f1907,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_7 ),
inference(superposition,[],[f1152,f530]) ).
fof(f1915,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1914,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1913,f836]) ).
fof(f1913,plain,
( identity != inverse(identity)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1906]) ).
fof(f1906,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_7 ),
inference(superposition,[],[f1152,f528]) ).
fof(f1889,plain,
( spl0_7
| spl0_4
| spl0_4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1878,f1682,f1398,f232,f228,f33,f29,f205,f205,f1151]) ).
fof(f1878,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1877,f1400]) ).
fof(f1877,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1876,f1776]) ).
fof(f1876,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1875,f1400]) ).
fof(f1875,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1874,f1776]) ).
fof(f1874,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1873,f1776]) ).
fof(f1873,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,X5)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1872,f528]) ).
fof(f1872,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1871,f1400]) ).
fof(f1871,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1870,f1536]) ).
fof(f1870,plain,
( ! [X3,X6,X5] :
( sk_c6 != sk_c5
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1869,f1356]) ).
fof(f1869,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(sk_c7,sk_c6)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1868,f1536]) ).
fof(f1868,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1867,f1400]) ).
fof(f1867,plain,
( ! [X3,X6,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1866,f1400]) ).
fof(f1866,plain,
( ! [X3,X6,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1232,f1776]) ).
fof(f1770,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1769]) ).
fof(f1769,plain,
( $false
| spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1768,f1]) ).
fof(f1768,plain,
( sk_c6 != multiply(identity,sk_c6)
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1767,f1400]) ).
fof(f1767,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1395,f1536]) ).
fof(f1395,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_8 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1744,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1743,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1742,f1690]) ).
fof(f1742,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f1741,f1400]) ).
fof(f1741,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f1740,f1]) ).
fof(f1740,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f1739,f1543]) ).
fof(f1739,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1738,f1690]) ).
fof(f1737,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1735,f1687]) ).
fof(f1735,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f1734,f1400]) ).
fof(f1734,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f1733,f1409]) ).
fof(f1733,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f1732,f1690]) ).
fof(f1732,plain,
( identity = sk_c6
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1731,f1400]) ).
fof(f1731,plain,
( sk_c6 = sk_c7
| sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1730,f1409]) ).
fof(f1689,plain,
( spl0_10
| spl0_11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1623,f1398,f1394,f228,f33,f1686,f1682]) ).
fof(f1623,plain,
( identity = multiply(identity,sk_c6)
| sk_c6 = sk_c3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1622,f1400]) ).
fof(f1622,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| sk_c6 = sk_c3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1621,f1409]) ).
fof(f1521,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1520,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f1519,f1399]) ).
fof(f1519,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1511,f1418]) ).
fof(f1511,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f1364,f1499]) ).
fof(f1499,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1489,f1]) ).
fof(f1489,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f4,f1488]) ).
fof(f1488,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1478,f2]) ).
fof(f1478,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(superposition,[],[f52,f1471]) ).
fof(f1471,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(forward_demodulation,[],[f1470,f1409]) ).
fof(f1470,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_9 ),
inference(subsumption_resolution,[],[f1469,f1399]) ).
fof(f1401,plain,
( spl0_8
| spl0_9
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1368,f33,f29,f1398,f1394]) ).
fof(f1227,plain,
( spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1226,plain,
( $false
| spl0_2
| spl0_6 ),
inference(global_subsumption,[],[f21,f26,f27,f4,f1,f2,f9,f3,f45,f18,f14,f6,f24,f22,f19,f15,f12,f10,f7,f11,f23,f233,f248,f52,f410,f411,f494,f484,f512,f522,f412,f532,f534,f535,f536,f528,f566,f554,f570,f545,f586,f587,f530,f624,f606,f531,f655,f660,f600,f700,f725,f832,f846,f848,f850,f844,f932,f886,f889,f914,f1013,f919,f920,f922,f923,f938,f1037,f1040,f1066,f1073,f1074,f1075,f1076,f1057,f1053,f1048,f1193,f1034,f926,f905,f901,f896,f1197,f1198,f935,f1199,f884,f1205,f849,f843,f833,f830,f716,f712,f1207,f1208,f701,f762,f696,f663,f659,f654,f1210,f605,f599,f1212,f553,f1213,f544,f511,f510,f423,f419,f414,f409,f20,f1216,f16,f1217,f250,f8,f1218,f253,f249,f1220,f1221,f17,f1222,f13,f1223,f5,f1224,f1225,f34]) ).
fof(f1192,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1190,f284]) ).
fof(f284,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f257,f275]) ).
fof(f275,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f270,f1]) ).
fof(f270,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f59,f263]) ).
fof(f263,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f262,f4]) ).
fof(f262,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f260,f37]) ).
fof(f260,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f45,f259]) ).
fof(f259,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f253,f252]) ).
fof(f252,plain,
( sk_c7 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f251,f59]) ).
fof(f251,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f249,f241]) ).
fof(f241,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f217,f239]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f237,f221]) ).
fof(f257,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f230,f252]) ).
fof(f1190,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f1189,f276]) ).
fof(f276,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f271,f1]) ).
fof(f271,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f209,f263]) ).
fof(f1189,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1188,f1]) ).
fof(f1188,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f1163,f263]) ).
fof(f1163,plain,
( identity != multiply(sk_c5,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f206,f214]) ).
fof(f206,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f1187,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1185,f284]) ).
fof(f1185,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f1184,f263]) ).
fof(f1184,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1162,f276]) ).
fof(f1162,plain,
( identity != sk_c1
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f206,f209]) ).
fof(f1183,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1182,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1181,f284]) ).
fof(f1181,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f1180,f288]) ).
fof(f288,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f287,f263]) ).
fof(f287,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f279,f221]) ).
fof(f279,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f4,f275]) ).
fof(f1180,plain,
( identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1161,f288]) ).
fof(f1161,plain,
( identity != sk_c6
| identity != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f206,f221]) ).
fof(f1177,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1175,f545]) ).
fof(f1175,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1164,f545]) ).
fof(f1164,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1159]) ).
fof(f1159,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4 ),
inference(superposition,[],[f206,f484]) ).
fof(f1173,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1165,f545]) ).
fof(f1165,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1157]) ).
fof(f1157,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(superposition,[],[f206,f2]) ).
fof(f1168,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f1166,f284]) ).
fof(f1166,plain,
( identity != inverse(identity)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1155]) ).
fof(f1155,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f206,f1]) ).
fof(f1153,plain,
( spl0_4
| spl0_4
| spl0_7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f640,f232,f228,f33,f29,f1151,f205,f205]) ).
fof(f640,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,X5)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f504,f528]) ).
fof(f504,plain,
( ! [X3,X6,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f503,f275]) ).
fof(f503,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f502,f288]) ).
fof(f502,plain,
( ! [X3,X6,X5] :
( identity != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f501,f275]) ).
fof(f501,plain,
( ! [X3,X6,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f500,f288]) ).
fof(f500,plain,
( ! [X3,X6,X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f499,f288]) ).
fof(f499,plain,
( ! [X3,X6,X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f498,f275]) ).
fof(f498,plain,
( ! [X3,X6,X5] :
( identity != inverse(X5)
| identity != inverse(X6)
| identity != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f497,f275]) ).
fof(f497,plain,
( ! [X3,X6,X5] :
( identity != inverse(X6)
| identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f496,f275]) ).
fof(f496,plain,
( ! [X3,X6,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f495,f288]) ).
fof(f495,plain,
( ! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f74,f248]) ).
fof(f235,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f232,f228]) ).
fof(f207,plain,
( spl0_3
| spl0_4
| spl0_4
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f33,f29,f205,f205,f202]) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f33,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP326-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:51:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2743)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (2746)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2744)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2745)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (2747)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2746)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (2748)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (2749)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (2750)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.44 TRYING [6]
% 0.21/0.46 TRYING [5]
% 0.21/0.48 % (2746)First to succeed.
% 0.21/0.49 % (2746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2743"
% 0.21/0.50 % (2746)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (2746)------------------------------
% 0.21/0.50 % (2746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.50 % (2746)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (2746)Memory used [KB]: 2318
% 0.21/0.50 % (2746)Time elapsed: 0.118 s
% 0.21/0.50 % (2746)Instructions burned: 263 (million)
% 0.21/0.50 % (2743)Success in time 0.142 s
%------------------------------------------------------------------------------