TSTP Solution File: GRP246-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP246-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:56:21 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 85
% Syntax : Number of formulae : 1400 ( 10 unt; 0 def)
% Number of atoms : 5918 (1179 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 8150 (3632 ~;4491 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 236 ( 236 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2886,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f119,f165,f194,f208,f219,f239,f253,f260,f273,f275,f277,f279,f281,f283,f285,f287,f289,f292,f294,f296,f298,f300,f323,f336,f350,f357,f371,f383,f385,f387,f389,f392,f394,f404,f424,f461,f647,f653,f656,f659,f661,f663,f665,f668,f705,f710,f738,f955,f1046,f1073,f1314,f1317,f1332,f1335,f1338,f1340,f1353,f1360,f1365,f1369,f1373,f1375,f1423,f1429,f1445,f1446,f1491,f1498,f1566,f1604,f1649,f1651,f1654,f1673,f1682,f1686,f1688,f1690,f1692,f1694,f1697,f1700,f1703,f1705,f1713,f1716,f1767,f1769,f1772,f1777,f1781,f1785,f1786,f1787,f1788,f1816,f1824,f1826,f1829,f1832,f1835,f1838,f1840,f1851,f1852,f1961,f1963,f1965,f1968,f1971,f1974,f1978,f1981,f2010,f2181,f2226,f2235,f2237,f2239,f2241,f2244,f2251,f2257,f2277,f2280,f2294,f2296,f2298,f2301,f2304,f2306,f2308,f2310,f2312,f2314,f2316,f2318,f2320,f2324,f2330,f2334,f2336,f2338,f2340,f2342,f2345,f2347,f2349,f2351,f2353,f2355,f2357,f2359,f2361,f2366,f2368,f2372,f2375,f2380,f2382,f2385,f2387,f2389,f2391,f2393,f2395,f2398,f2400,f2485,f2546,f2562,f2582,f2596,f2629,f2640,f2667,f2669,f2671,f2673,f2675,f2679,f2681,f2683,f2685,f2687,f2689,f2691,f2693,f2695,f2697,f2721,f2726,f2732,f2737,f2748,f2751,f2754,f2758,f2767,f2773,f2778,f2783,f2785,f2787,f2791,f2794,f2797,f2799,f2802,f2805,f2808,f2812,f2816,f2819,f2822,f2826,f2829,f2832,f2835,f2838,f2841,f2843,f2846,f2851,f2853,f2855,f2857,f2859,f2861,f2863,f2865,f2867,f2869,f2871,f2873,f2875,f2877,f2880,f2882,f2885]) ).
fof(f2885,plain,
( spl0_9
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2884,plain,
( $false
| spl0_9
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2883,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41,f225]) ).
fof(f225,plain,
( sk_c11 = inverse(sk_c3)
| spl0_11 ),
inference(subsumption_resolution,[],[f43,f217]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f9,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f1247,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f93,f1]) ).
fof(f57,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f55,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f51,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f1269,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f93,f93]) ).
fof(f1252,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f93,f3]) ).
fof(f1248,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f93,f2]) ).
fof(f93,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f82,f1]) ).
fof(f82,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f899,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| spl0_27 ),
inference(superposition,[],[f3,f898]) ).
fof(f898,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_27 ),
inference(subsumption_resolution,[],[f30,f736]) ).
fof(f880,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_27 ),
inference(superposition,[],[f3,f878]) ).
fof(f878,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_27 ),
inference(subsumption_resolution,[],[f28,f736]) ).
fof(f819,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| spl0_27 ),
inference(superposition,[],[f3,f816]) ).
fof(f816,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_27 ),
inference(subsumption_resolution,[],[f27,f736]) ).
fof(f781,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| spl0_27 ),
inference(superposition,[],[f3,f779]) ).
fof(f779,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_27 ),
inference(subsumption_resolution,[],[f24,f736]) ).
fof(f736,plain,
( sk_c9 != multiply(sk_c2,sk_c10)
| spl0_27 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl0_27
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f13,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f26,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f50,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f8,axiom,
( sk_c11 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f44,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f43,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f40,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f42,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f46,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f48,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f56,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f290,plain,
( sk_c11 = inverse(sk_c1)
| spl0_11 ),
inference(subsumption_resolution,[],[f16,f217]) ).
fof(f265,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| spl0_11 ),
inference(superposition,[],[f3,f263]) ).
fof(f263,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| spl0_11 ),
inference(superposition,[],[f228,f262]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| spl0_11 ),
inference(superposition,[],[f3,f262]) ).
fof(f262,plain,
( sk_c11 = multiply(sk_c3,sk_c9)
| spl0_11 ),
inference(subsumption_resolution,[],[f52,f217]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| spl0_11 ),
inference(superposition,[],[f3,f254]) ).
fof(f254,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| spl0_11 ),
inference(subsumption_resolution,[],[f25,f217]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| spl0_11 ),
inference(superposition,[],[f3,f240]) ).
fof(f240,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| spl0_11 ),
inference(subsumption_resolution,[],[f7,f217]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| spl0_11 ),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f227,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| spl0_11 ),
inference(superposition,[],[f3,f226]) ).
fof(f226,plain,
( identity = multiply(sk_c11,sk_c3)
| spl0_11 ),
inference(superposition,[],[f2,f225]) ).
fof(f217,plain,
( sk_c10 != inverse(sk_c5)
| spl0_11 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl0_11
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f31,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f59,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X6)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X7,sk_c10)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(X5,sk_c9)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X6,sk_c11)
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(X9,inverse(X9)) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X6)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(X7)
| inverse(X9) != X10
| sk_c9 != multiply(X7,sk_c10)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(X5,sk_c9)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != multiply(X10,sk_c9)
| sk_c10 != multiply(X6,sk_c11)
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
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(f14,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
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(f32,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f2883,plain,
( identity != sk_c9
| spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f207,f348]) ).
fof(f348,plain,
( identity = sk_c10
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl0_21
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f207,plain,
( sk_c10 != sk_c9
| spl0_9 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl0_9
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2882,plain,
( spl0_9
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2881]) ).
fof(f2881,plain,
( $false
| spl0_9
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f1698,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41,f225]) ).
fof(f1698,plain,
( identity != sk_c9
| spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f207,f348]) ).
fof(f2880,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2879]) ).
fof(f2879,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2878,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41,f225]) ).
fof(f2878,plain,
( identity != inverse(sk_c5)
| spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f217,f348]) ).
fof(f2877,plain,
( spl0_11
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2876]) ).
fof(f2876,plain,
( $false
| spl0_11
| spl0_27 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41,f225]) ).
fof(f2875,plain,
( spl0_11
| spl0_13
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2874,plain,
( $false
| spl0_11
| spl0_13
| spl0_27 ),
inference(global_subsumption,[],[f238,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f238,plain,
( identity != sk_c9
| spl0_13 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_13
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2873,plain,
( spl0_11
| ~ spl0_18
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2872]) ).
fof(f2872,plain,
( $false
| spl0_11
| ~ spl0_18
| spl0_27 ),
inference(global_subsumption,[],[f331,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f331,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_18
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2871,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2870]) ).
fof(f2870,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f1606,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f1606,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1396,f1398]) ).
fof(f1398,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1392,f1]) ).
fof(f1392,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c1)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f717,f348]) ).
fof(f717,plain,
( multiply(sk_c1,identity) = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f401,f716]) ).
fof(f716,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_1
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_22 ),
inference(superposition,[],[f3,f366]) ).
fof(f366,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl0_22
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1396,plain,
( sk_c3 = multiply(sk_c1,identity)
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1390,f1]) ).
fof(f1390,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c3)
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f469,f348]) ).
fof(f469,plain,
( multiply(sk_c1,identity) = multiply(sk_c10,sk_c3)
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f401,f337]) ).
fof(f337,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_18 ),
inference(superposition,[],[f2,f331]) ).
fof(f2869,plain,
( spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2868,plain,
( $false
| spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f912,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f912,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f337]) ).
fof(f891,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f674,f843]) ).
fof(f843,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f828,f674]) ).
fof(f828,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f819,f726]) ).
fof(f726,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f725,f1]) ).
fof(f725,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f724,f3]) ).
fof(f724,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f671]) ).
fof(f671,plain,
( multiply(sk_c10,sk_c6) = multiply(sk_c1,identity)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f401,f669]) ).
fof(f669,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl0_19 ),
inference(superposition,[],[f2,f335]) ).
fof(f335,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl0_19
<=> sk_c11 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f674,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_19 ),
inference(forward_demodulation,[],[f672,f1]) ).
fof(f672,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f669]) ).
fof(f2867,plain,
( spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2866,plain,
( $false
| spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f929,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f929,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f337,f891]) ).
fof(f2865,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
fof(f2864,plain,
( $false
| ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f1100,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f1100,plain,
( sk_c3 = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f1090,f469]) ).
fof(f1090,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1089,f1]) ).
fof(f1089,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(identity,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1088]) ).
fof(f1088,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_8 ),
inference(superposition,[],[f2,f202]) ).
fof(f202,plain,
( sk_c10 = inverse(identity)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl0_8
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2863,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2862,plain,
( $false
| ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f1111,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f1111,plain,
( sk_c3 = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f469,f1090]) ).
fof(f2861,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2860]) ).
fof(f2860,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_11
| ~ spl0_18
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f1141,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f1141,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1100,f1095]) ).
fof(f1095,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f1090,f717]) ).
fof(f2859,plain,
( spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2858,plain,
( $false
| spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f1396,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2857,plain,
( spl0_11
| ~ spl0_18
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2856,plain,
( $false
| spl0_11
| ~ spl0_18
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2496,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2496,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2495,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f337,f339,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1287,f1262,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f331]) ).
fof(f1262,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_18 ),
inference(superposition,[],[f93,f339]) ).
fof(f1287,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_18 ),
inference(superposition,[],[f93,f337]) ).
fof(f339,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_18 ),
inference(superposition,[],[f3,f337]) ).
fof(f2495,plain,
( identity = multiply(sk_c4,sk_c11)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f40,f348]) ).
fof(f2855,plain,
( spl0_11
| ~ spl0_18
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2854,plain,
( $false
| spl0_11
| ~ spl0_18
| spl0_27 ),
inference(global_subsumption,[],[f2497,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2497,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_18 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f337,f339,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1287,f1262,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f331,f41]) ).
fof(f2853,plain,
( spl0_11
| ~ spl0_18
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2852,plain,
( $false
| spl0_11
| ~ spl0_18
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2503,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2503,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2410,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f337,f339,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1287,f1262,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f331,f41,f2497]) ).
fof(f2410,plain,
( identity = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f46,f348]) ).
fof(f2851,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2850]) ).
fof(f2850,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2849,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2849,plain,
( identity != sk_c9
| ~ spl0_10
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f2848,f1]) ).
fof(f2848,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl0_10
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f2847,f1410]) ).
fof(f1410,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f1381,f1]) ).
fof(f1381,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f220,f348]) ).
fof(f220,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f214]) ).
fof(f214,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl0_10
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2847,plain,
( sk_c9 != multiply(sk_c2,identity)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f736,f348]) ).
fof(f2846,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2845]) ).
fof(f2845,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2844,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2844,plain,
( sk_c9 = multiply(sk_c5,identity)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f779,f348]) ).
fof(f2843,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2842]) ).
fof(f2842,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f921,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f921,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f716,f891]) ).
fof(f2841,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
fof(f2840,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2839,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2839,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f923,f348]) ).
fof(f923,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f400,f891]) ).
fof(f400,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f312,f366]) ).
fof(f312,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f311,f1]) ).
fof(f311,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f309]) ).
fof(f309,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f63]) ).
fof(f2838,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2837]) ).
fof(f2837,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2836,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2836,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f924,f1607]) ).
fof(f1607,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1395,f1398]) ).
fof(f1395,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1389,f1]) ).
fof(f1389,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c4)
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f467,f348]) ).
fof(f467,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f401,f412]) ).
fof(f412,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_2
<=> sk_c11 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f924,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f412,f891]) ).
fof(f2835,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2834]) ).
fof(f2834,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2833,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2833,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f927,f1605]) ).
fof(f1605,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1397,f1398]) ).
fof(f1397,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1391,f1]) ).
fof(f1391,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c6)
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f671,f348]) ).
fof(f927,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f669,f891]) ).
fof(f2832,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2831]) ).
fof(f2831,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2830,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2830,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f795,f348]) ).
fof(f795,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f786,f779]) ).
fof(f786,plain,
( multiply(sk_c5,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f781,f722]) ).
fof(f722,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f720,f366]) ).
fof(f720,plain,
( multiply(sk_c1,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f401,f400]) ).
fof(f2829,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2828]) ).
fof(f2828,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2827,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2827,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f937,f1605]) ).
fof(f937,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f843,f905]) ).
fof(f905,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f716]) ).
fof(f2826,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2825]) ).
fof(f2825,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f938,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f938,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f719,f905]) ).
fof(f719,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f718,f1]) ).
fof(f718,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f716]) ).
fof(f2822,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2821,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2820,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2820,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f878,f348]) ).
fof(f2819,plain,
( spl0_11
| ~ spl0_21
| ~ spl0_23
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
fof(f2818,plain,
( $false
| spl0_11
| ~ spl0_21
| ~ spl0_23
| spl0_27 ),
inference(global_subsumption,[],[f2817,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2817,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_21
| ~ spl0_23
| spl0_27 ),
inference(forward_demodulation,[],[f879,f348]) ).
fof(f879,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl0_23
| spl0_27 ),
inference(superposition,[],[f374,f878]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_23 ),
inference(forward_demodulation,[],[f373,f1]) ).
fof(f373,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_23 ),
inference(superposition,[],[f3,f372]) ).
fof(f372,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_23 ),
inference(superposition,[],[f2,f370]) ).
fof(f370,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_23
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f2816,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2815]) ).
fof(f2815,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2814,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2814,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f2813,f1605]) ).
fof(f2813,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f816,f348]) ).
fof(f2812,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2811]) ).
fof(f2811,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2810,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2810,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f2809,f1607]) ).
fof(f2809,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f945,f1605]) ).
fof(f945,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f843,f908]) ).
fof(f908,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f412]) ).
fof(f2808,plain,
( spl0_11
| ~ spl0_19
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2807]) ).
fof(f2807,plain,
( $false
| spl0_11
| ~ spl0_19
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2806,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2806,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_19
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f818,f348]) ).
fof(f818,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_19
| spl0_27 ),
inference(superposition,[],[f674,f816]) ).
fof(f2805,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2804]) ).
fof(f2804,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2803,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2803,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f946,f1607]) ).
fof(f946,plain,
( sk_c4 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f719,f908]) ).
fof(f2802,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2801]) ).
fof(f2801,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2800,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2800,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f898,f348]) ).
fof(f2799,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2798]) ).
fof(f2798,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f905,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2797,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2796]) ).
fof(f2796,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2795,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2795,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f907,f348]) ).
fof(f907,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f400]) ).
fof(f2794,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2793]) ).
fof(f2793,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2792,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2792,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f908,f1607]) ).
fof(f2791,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2790]) ).
fof(f2790,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2789,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2789,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f910,f1605]) ).
fof(f910,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f669]) ).
fof(f2787,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2786]) ).
fof(f2786,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2410,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2785,plain,
( ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2784,plain,
( $false
| ~ spl0_1
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2677,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2677,plain,
( sk_c11 = multiply(sk_c1,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2195,f1605]) ).
fof(f2195,plain,
( sk_c11 = multiply(sk_c6,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f45,f348]) ).
fof(f2783,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2782,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2781,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2781,plain,
( identity = multiply(sk_c8,sk_c9)
| identity = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2780,f348]) ).
fof(f2780,plain,
( identity = sk_c9
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2779,f1]) ).
fof(f2779,plain,
( sk_c9 = multiply(identity,identity)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2252,f1410]) ).
fof(f2252,plain,
( sk_c9 = multiply(sk_c2,identity)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f30,f348]) ).
fof(f2778,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2777]) ).
fof(f2777,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2776,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2776,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2775,f348]) ).
fof(f2775,plain,
( identity = sk_c9
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2774,f1]) ).
fof(f2774,plain,
( sk_c9 = multiply(identity,identity)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2258,f1410]) ).
fof(f2258,plain,
( sk_c9 = multiply(sk_c2,identity)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f28,f348]) ).
fof(f2773,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2772,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| spl0_11
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_27 ),
inference(global_subsumption,[],[f2771,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2771,plain,
( sk_c11 = multiply(sk_c1,identity)
| identity = sk_c9
| ~ spl0_1
| ~ spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2770,f1605]) ).
fof(f2770,plain,
( sk_c11 = multiply(sk_c6,identity)
| identity = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2769,f348]) ).
fof(f2769,plain,
( identity = sk_c9
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2768,f1]) ).
fof(f2768,plain,
( sk_c9 = multiply(identity,identity)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2261,f1410]) ).
fof(f2261,plain,
( sk_c9 = multiply(sk_c2,identity)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f27,f348]) ).
fof(f2767,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2766,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2765,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2765,plain,
( sk_c9 = multiply(sk_c5,identity)
| identity = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2764,f348]) ).
fof(f2764,plain,
( identity = sk_c9
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2763,f1]) ).
fof(f2763,plain,
( sk_c9 = multiply(identity,identity)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2265,f1410]) ).
fof(f2265,plain,
( sk_c9 = multiply(sk_c2,identity)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f24,f348]) ).
fof(f2758,plain,
( spl0_11
| ~ spl0_24
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2757]) ).
fof(f2757,plain,
( $false
| spl0_11
| ~ spl0_24
| spl0_27 ),
inference(global_subsumption,[],[f455,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f455,plain,
( identity = inverse(inverse(sk_c9))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl0_24
<=> identity = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2754,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2753]) ).
fof(f2753,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2752,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2752,plain,
( sk_c9 = multiply(sk_c5,identity)
| sk_c11 = multiply(sk_c3,sk_c9)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f51,f348]) ).
fof(f2751,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2750]) ).
fof(f2750,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2749,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2749,plain,
( identity = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f48,f348]) ).
fof(f2748,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2747]) ).
fof(f2747,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2746,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2746,plain,
( sk_c9 = multiply(sk_c5,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f42,f348]) ).
fof(f2737,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2736]) ).
fof(f2736,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2735,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2735,plain,
( identity = inverse(sk_c5)
| sk_c11 = inverse(sk_c3)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f43,f348]) ).
fof(f2732,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2731,plain,
( $false
| ~ spl0_10
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2730,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2730,plain,
( identity = sk_c9
| identity = inverse(sk_c5)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2729,f1]) ).
fof(f2729,plain,
( sk_c9 = multiply(identity,identity)
| identity = inverse(sk_c5)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2728,f1410]) ).
fof(f2728,plain,
( sk_c9 = multiply(sk_c2,identity)
| identity = inverse(sk_c5)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2727,f348]) ).
fof(f2727,plain,
( identity = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f25,f348]) ).
fof(f2726,plain,
( spl0_11
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2725,plain,
( $false
| spl0_11
| ~ spl0_21
| spl0_27 ),
inference(global_subsumption,[],[f2724,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f290,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f736,f779,f781,f816,f819,f878,f880,f898,f899,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f41]) ).
fof(f2724,plain,
( identity = inverse(sk_c5)
| sk_c11 = multiply(sk_c3,sk_c9)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f52,f348]) ).
fof(f2721,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2720]) ).
fof(f2720,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2719,f63]) ).
fof(f2719,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2715]) ).
fof(f2715,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1985,f2448]) ).
fof(f2448,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2402,f1605]) ).
fof(f2402,plain,
( sk_c11 = multiply(sk_c6,identity)
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1613,f1615,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f348,f2015,f2022,f2025,f330,f2195]) ).
fof(f330,plain,
( sk_c11 != inverse(sk_c3)
| spl0_18 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f2025,plain,
( identity = multiply(sk_c1,sk_c11)
| sk_c11 = multiply(sk_c6,identity)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2024,f348]) ).
fof(f2024,plain,
( sk_c11 = multiply(sk_c6,identity)
| multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f9,f348]) ).
fof(f2022,plain,
( identity = multiply(sk_c1,sk_c11)
| identity = multiply(sk_c7,sk_c8)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2021,f348]) ).
fof(f2021,plain,
( identity = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f10,f348]) ).
fof(f2015,plain,
( identity = multiply(sk_c1,sk_c11)
| identity = multiply(sk_c4,sk_c11)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2014,f348]) ).
fof(f2014,plain,
( identity = multiply(sk_c4,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f4,f348]) ).
fof(f1615,plain,
( sk_c11 = multiply(sk_c6,identity)
| identity = inverse(sk_c2)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1614,f348]) ).
fof(f1614,plain,
( identity = inverse(sk_c2)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f36,f348]) ).
fof(f1613,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = inverse(sk_c2)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1612,f348]) ).
fof(f1612,plain,
( identity = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f37,f348]) ).
fof(f1985,plain,
( ! [X8] :
( sk_c11 != multiply(X8,identity)
| sk_c11 != inverse(X8) )
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f115,f348]) ).
fof(f115,plain,
( ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_6
<=> ! [X8] :
( sk_c11 != inverse(X8)
| sk_c11 != multiply(X8,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2697,plain,
( spl0_2
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f2696]) ).
fof(f2696,plain,
( $false
| spl0_2
| spl0_18 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f66,f41,f330]) ).
fof(f66,plain,
( sk_c11 != inverse(sk_c4)
| spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f398,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| spl0_2 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f8,f11,f66,f5,f395,f23,f396,f50,f397,f4]) ).
fof(f397,plain,
( sk_c11 = multiply(sk_c3,sk_c9)
| spl0_2 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f8,f11,f66,f5,f395,f23,f396,f50]) ).
fof(f396,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| spl0_2 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f8,f11,f50,f66,f5,f395,f23]) ).
fof(f395,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| spl0_2 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f8,f11,f50,f23,f66,f5]) ).
fof(f2695,plain,
( ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2694]) ).
fof(f2694,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2470,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2470,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2468,f63]) ).
fof(f2468,plain,
( identity = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_1
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f93,f2448]) ).
fof(f2693,plain,
( spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2692,plain,
( $false
| spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2460,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2460,plain,
( identity = sk_c8
| ~ spl0_13
| spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2459,f2406]) ).
fof(f2406,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f237,f348,f2015,f2022,f2025,f330,f2233,f2255,f2195,f2402,f2263,f2332,f2328,f2322]) ).
fof(f2322,plain,
( identity = multiply(sk_c8,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2321,f348]) ).
fof(f2321,plain,
( sk_c10 = multiply(sk_c8,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f48,f237]) ).
fof(f2328,plain,
( sk_c11 = multiply(sk_c3,identity)
| sk_c11 = inverse(sk_c6)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f53,f237]) ).
fof(f2332,plain,
( identity = multiply(sk_c2,identity)
| sk_c11 = inverse(sk_c6)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2331,f237]) ).
fof(f2331,plain,
( sk_c9 = multiply(sk_c2,identity)
| sk_c11 = inverse(sk_c6)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f26,f348]) ).
fof(f2263,plain,
( sk_c11 = multiply(sk_c6,identity)
| identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2262,f348]) ).
fof(f2262,plain,
( identity = multiply(sk_c2,identity)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2261,f237]) ).
fof(f2255,plain,
( identity = multiply(sk_c8,identity)
| identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2254,f348]) ).
fof(f2254,plain,
( sk_c10 = multiply(sk_c8,identity)
| identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2253,f237]) ).
fof(f2253,plain,
( identity = multiply(sk_c2,identity)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2252,f237]) ).
fof(f2233,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2232,f348]) ).
fof(f2232,plain,
( sk_c10 = multiply(sk_c8,identity)
| ~ spl0_13
| spl0_18 ),
inference(forward_demodulation,[],[f2231,f237]) ).
fof(f2231,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_18 ),
inference(subsumption_resolution,[],[f48,f330]) ).
fof(f237,plain,
( identity = sk_c9
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f1618,plain,
( identity = multiply(sk_c5,identity)
| identity = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1617,f348]) ).
fof(f1617,plain,
( identity = multiply(sk_c5,sk_c10)
| identity = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1616,f237]) ).
fof(f1616,plain,
( identity = inverse(sk_c2)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f33,f348]) ).
fof(f1611,plain,
( identity = multiply(sk_c8,identity)
| identity = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1610,f348]) ).
fof(f1610,plain,
( sk_c10 = multiply(sk_c8,identity)
| identity = inverse(sk_c2)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1609,f237]) ).
fof(f1609,plain,
( identity = inverse(sk_c2)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f39,f348]) ).
fof(f2459,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2456,f370]) ).
fof(f2456,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f93,f2411]) ).
fof(f2411,plain,
( identity = multiply(sk_c7,sk_c8)
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1613,f1615,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f348,f2015,f2022,f2025,f330,f2195,f2402,f2410]) ).
fof(f2691,plain,
( ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2467,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2467,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f2448]) ).
fof(f2689,plain,
( ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2688]) ).
fof(f2688,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2448,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2687,plain,
( spl0_2
| spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2686,plain,
( $false
| spl0_2
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2495,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2685,plain,
( spl0_2
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f2684]) ).
fof(f2684,plain,
( $false
| spl0_2
| spl0_18 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f66,f41]) ).
fof(f2683,plain,
( spl0_2
| spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2682]) ).
fof(f2682,plain,
( $false
| spl0_2
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2410,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2681,plain,
( spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2680,plain,
( $false
| spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2322,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2679,plain,
( ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2678]) ).
fof(f2678,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2677,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2675,plain,
( spl0_2
| ~ spl0_13
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
fof(f2674,plain,
( $false
| spl0_2
| ~ spl0_13
| spl0_18 ),
inference(global_subsumption,[],[f2490,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2490,plain,
( sk_c11 = multiply(sk_c3,identity)
| sk_c11 = inverse(sk_c4)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f50,f237]) ).
fof(f2673,plain,
( spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2672,plain,
( $false
| spl0_2
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2488,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2488,plain,
( identity = multiply(sk_c4,sk_c11)
| sk_c11 = multiply(sk_c3,identity)
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2284,f348]) ).
fof(f2284,plain,
( sk_c11 = multiply(sk_c3,identity)
| sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f49,f237]) ).
fof(f2671,plain,
( spl0_2
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f2670]) ).
fof(f2670,plain,
( $false
| spl0_2
| spl0_18 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f2669,plain,
( spl0_2
| spl0_18
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2668,plain,
( $false
| spl0_2
| spl0_18
| ~ spl0_21
| ~ spl0_26 ),
inference(global_subsumption,[],[f1880,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f330,f41,f66]) ).
fof(f1880,plain,
( identity = multiply(sk_c4,sk_c11)
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f733,f348]) ).
fof(f733,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl0_26
<=> sk_c10 = multiply(sk_c4,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2667,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2666]) ).
fof(f2666,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2665,f63]) ).
fof(f2665,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2661,f1575]) ).
fof(f1575,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1574,f1141]) ).
fof(f1574,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1396,f1441]) ).
fof(f1441,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1155,f348]) ).
fof(f1155,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1154]) ).
fof(f1154,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1153,f1141]) ).
fof(f1153,plain,
( sk_c11 = multiply(sk_c3,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1152,f206]) ).
fof(f206,plain,
( sk_c10 = sk_c9
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f1152,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c3,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f54,f1135]) ).
fof(f1135,plain,
( sk_c1 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1098,f1095]) ).
fof(f1098,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1090,f671]) ).
fof(f2661,plain,
( sk_c1 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1985,f2531]) ).
fof(f2531,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1441,f1575]) ).
fof(f2640,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f2639]) ).
fof(f2639,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(global_subsumption,[],[f32,f1,f2,f14,f69,f3,f96,f59,f49,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f309,f312,f44,f337,f339,f8,f358,f360,f11,f5,f4,f366,f50,f23,f412,f439,f401,f462,f463,f467,f477,f468,f480,f469,f483,f26,f666,f53,f667,f669,f21,f711,f19,f712,f18,f713,f15,f714,f13,f715,f63,f716,f400,f722,f671,f674,f727,f22,f717,f719,f464,f726,f1079,f1080,f1081,f1083,f1088,f1090,f1092,f1094,f1103,f1105,f1106,f1155,f1156,f1165,f1158,f1166,f1190,f1191,f1192,f1193,f1194,f1197,f1179,f1200,f1201,f1183,f1202,f1203,f1204,f1207,f93,f1248,f1249,f1250,f1252,f1254,f1255,f1259,f1298,f1299,f1302,f1305,f1269,f1307,f1274,f1319,f1321,f1323,f1325,f1327,f1329,f1315,f1312,f1343,f1344,f1345,f51,f55,f57,f1288,f1287,f1284,f1283,f1281,f1280,f1271,f1266,f1264,f1262,f1261,f1377,f1247,f723,f721,f746,f744,f743,f54,f1388,f1394,f1440,f1463,f1467,f1484,f1487,f1488,f1504,f1511,f1515,f1522,f1547,f1551,f1553,f1557,f1538,f1541,f1613,f1615,f33,f36,f37,f39,f30,f28,f27,f24,f1260,f6,f9,f10,f12,f202,f1740,f1739,f206,f1821,f732,f1833,f1438,f1714,f348,f1868,f1444,f1869,f1904,f1906,f1976,f1986,f1987,f1988,f1990,f2012,f2015,f2019,f2022,f2025,f2056,f2057,f2061,f2062,f2063,f2105,f1270,f1387,f1095,f2050,f1398,f2196,f2202,f2203,f2051,f2204,f2208,f2195,f2417,f2420,f2426,f2207,f2495,f2496,f41,f2497,f2410,f2503,f2505,f2506,f1588,f1579,f1578,f2508,f1441,f1577,f1396,f1141,f1111,f1100,f2047,f1598,f1597,f1594,f1590,f331,f2515,f1606,f2183,f2187,f2185,f1125,f1107,f1096,f1395,f67,f1607,f2535,f2516,f2514,f2427,f2157,f2118,f2074,f2060,f2106,f2127,f2531,f2046,f2186,f2184,f2182,f2159,f2158,f1205,f1170,f1466,f2603,f2604,f2507,f1397,f2539,f1135,f1109,f1098,f1575,f335,f1524,f2609,f2610,f2613,f1605,f2630,f2638]) ).
fof(f2638,plain,
( identity != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(forward_demodulation,[],[f2637,f348]) ).
fof(f2637,plain,
( sk_c10 != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(forward_demodulation,[],[f2636,f1607]) ).
fof(f2636,plain,
( sk_c10 != multiply(sk_c4,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(forward_demodulation,[],[f732,f1524]) ).
fof(f2630,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2207,f1524]) ).
fof(f2613,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f2051,f1524]) ).
fof(f2610,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f1524]) ).
fof(f2609,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f716,f1524]) ).
fof(f1524,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1523,f1125]) ).
fof(f1523,plain,
( sk_c11 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1395,f1441]) ).
fof(f1109,plain,
( sk_c6 = multiply(sk_c1,identity)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f671,f1090]) ).
fof(f2539,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2508,f1575]) ).
fof(f2507,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1156,f348]) ).
fof(f2604,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1155,f348]) ).
fof(f2603,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1156,f348]) ).
fof(f1466,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1464,f63]) ).
fof(f1464,plain,
( identity = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f93,f1441]) ).
fof(f1170,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f716]) ).
fof(f1205,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f719,f1170]) ).
fof(f2158,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2062,f1607]) ).
fof(f2159,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2063,f1605]) ).
fof(f2182,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1109,f1605]) ).
fof(f2184,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1098,f1605]) ).
fof(f2186,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1397,f1605]) ).
fof(f2046,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1156,f348]) ).
fof(f2127,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2046,f1524]) ).
fof(f2106,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2051,f1524]) ).
fof(f2060,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f716,f1524]) ).
fof(f2074,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1441,f1524]) ).
fof(f2118,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1466,f1524]) ).
fof(f2157,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2056,f1606]) ).
fof(f2427,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2426,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f358,f360,f11,f5,f4,f50,f23,f26,f666,f53,f667,f669,f21,f19,f18,f15,f13,f674,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1283,f1261,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f335,f1986,f1987,f1988,f1990]) ).
fof(f2514,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f716,f1575]) ).
fof(f2516,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f2051,f1575]) ).
fof(f2535,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2047,f1575]) ).
fof(f1096,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f1090,f467]) ).
fof(f1107,plain,
( sk_c4 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f467,f1090]) ).
fof(f1125,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1096,f1095]) ).
fof(f2185,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1096,f1607]) ).
fof(f2187,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1395,f1607]) ).
fof(f2183,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1107,f1607]) ).
fof(f2515,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f1575]) ).
fof(f1590,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1589,f1141]) ).
fof(f1589,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1100,f1441]) ).
fof(f1594,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1593,f1135]) ).
fof(f1593,plain,
( sk_c11 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1109,f1441]) ).
fof(f1597,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1596,f1141]) ).
fof(f1596,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1111,f1441]) ).
fof(f1598,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1387,f1205]) ).
fof(f2047,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1155,f348]) ).
fof(f1577,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1576,f1135]) ).
fof(f1576,plain,
( sk_c11 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1397,f1441]) ).
fof(f2508,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1155,f348]) ).
fof(f1578,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1398,f1441]) ).
fof(f1579,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1441,f1398]) ).
fof(f1588,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1587,f1135]) ).
fof(f1587,plain,
( sk_c11 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1098,f1441]) ).
fof(f2506,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2505,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f337,f339,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1287,f1262,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f331,f41,f2497]) ).
fof(f2505,plain,
( sk_c11 = multiply(sk_c1,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2195,f1605]) ).
fof(f2207,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2205,f63]) ).
fof(f2205,plain,
( sk_c11 = multiply(inverse(sk_c1),identity)
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f93,f2051]) ).
fof(f2426,plain,
( identity = inverse(sk_c2)
| sk_c11 = inverse(sk_c6)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f35,f348]) ).
fof(f2420,plain,
( identity = multiply(sk_c7,sk_c8)
| identity = inverse(sk_c2)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2419,f348]) ).
fof(f2419,plain,
( identity = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f37,f348]) ).
fof(f2417,plain,
( sk_c11 = multiply(sk_c6,identity)
| identity = inverse(sk_c2)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2416,f348]) ).
fof(f2416,plain,
( identity = inverse(sk_c2)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f36,f348]) ).
fof(f2208,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2206,f1]) ).
fof(f2206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f3,f2051]) ).
fof(f2204,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f2051]) ).
fof(f2051,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f366,f348]) ).
fof(f2203,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f2202,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f366,f50,f23,f401,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1613,f1615,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f348,f2015,f2022,f2025,f2051]) ).
fof(f2202,plain,
( identity = multiply(sk_c1,sk_c11)
| sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2201,f348]) ).
fof(f2201,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f40,f1607]) ).
fof(f2196,plain,
( sk_c11 = multiply(sk_c1,identity)
| sk_c11 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2195,f1605]) ).
fof(f2050,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f400,f348]) ).
fof(f1387,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f400,f348]) ).
fof(f1270,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_1 ),
inference(superposition,[],[f93,f716]) ).
fof(f2105,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2047,f1524]) ).
fof(f2063,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1987,f1524]) ).
fof(f2062,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1869,f1524]) ).
fof(f2061,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f1524]) ).
fof(f2057,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f339,f1524]) ).
fof(f2056,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f337,f1524]) ).
fof(f2019,plain,
( identity = multiply(sk_c1,sk_c11)
| identity = multiply(sk_c8,identity)
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2018,f348]) ).
fof(f2018,plain,
( identity = multiply(sk_c8,identity)
| multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2017,f348]) ).
fof(f2017,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_9 ),
inference(forward_demodulation,[],[f12,f206]) ).
fof(f2012,plain,
( identity = multiply(sk_c4,sk_c11)
| sk_c11 = multiply(sk_c3,identity)
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2011,f348]) ).
fof(f2011,plain,
( sk_c11 = multiply(sk_c3,identity)
| sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1821,f348]) ).
fof(f1990,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1989,f1]) ).
fof(f1989,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f1987]) ).
fof(f1988,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl0_19 ),
inference(superposition,[],[f93,f1987]) ).
fof(f1987,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl0_19 ),
inference(superposition,[],[f2,f335]) ).
fof(f1986,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_19 ),
inference(superposition,[],[f93,f335]) ).
fof(f1976,plain,
( sk_c11 = multiply(sk_c3,identity)
| sk_c11 = inverse(sk_c6)
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1975,f348]) ).
fof(f1975,plain,
( sk_c11 = multiply(sk_c3,sk_c10)
| sk_c11 = inverse(sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f53,f206]) ).
fof(f1906,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1905,f1]) ).
fof(f1905,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f1869]) ).
fof(f1904,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl0_2 ),
inference(superposition,[],[f93,f1869]) ).
fof(f1869,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f67]) ).
fof(f1444,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f202,f348]) ).
fof(f1868,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f93,f67]) ).
fof(f1714,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f202,f348]) ).
fof(f1438,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f206,f348]) ).
fof(f1833,plain,
( sk_c11 = multiply(sk_c3,sk_c10)
| sk_c11 = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f50,f206]) ).
fof(f732,plain,
( sk_c10 != multiply(sk_c4,sk_c11)
| spl0_26 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1821,plain,
( sk_c11 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f49,f206]) ).
fof(f1739,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_8 ),
inference(superposition,[],[f2,f202]) ).
fof(f1740,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1738,f1]) ).
fof(f1738,plain,
( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f93,f202]) ).
fof(f1260,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_2 ),
inference(superposition,[],[f93,f439]) ).
fof(f1541,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1205,f1524]) ).
fof(f1538,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f1524]) ).
fof(f1557,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1536,f1135]) ).
fof(f1536,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f674,f1524]) ).
fof(f1553,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1552,f1]) ).
fof(f1552,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1531,f348]) ).
fof(f1531,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f401,f1524]) ).
fof(f1551,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1530,f348]) ).
fof(f1530,plain,
( sk_c1 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f400,f1524]) ).
fof(f1547,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1527,f1141]) ).
fof(f1527,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f339,f1524]) ).
fof(f1522,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1516,f1]) ).
fof(f1516,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c11,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f1205]) ).
fof(f1515,plain,
( identity = multiply(inverse(sk_c11),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f1205]) ).
fof(f1511,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1505,f1]) ).
fof(f1505,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f3,f1466]) ).
fof(f1504,plain,
( sk_c11 = multiply(inverse(sk_c11),identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f93,f1466]) ).
fof(f1488,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1486,f1]) ).
fof(f1486,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f1170]) ).
fof(f1487,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1485,f63]) ).
fof(f1485,plain,
( sk_c1 = multiply(inverse(sk_c1),identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f1170]) ).
fof(f1484,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f719,f1170]) ).
fof(f1467,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1465,f1]) ).
fof(f1465,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f3,f1441]) ).
fof(f1463,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f719,f1441]) ).
fof(f1440,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1156,f348]) ).
fof(f1394,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(identity,multiply(sk_c6,X0))
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f726,f348]) ).
fof(f1388,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(identity,multiply(sk_c3,X0))
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f464,f348]) ).
fof(f743,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f742,f1]) ).
fof(f742,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f741,f3]) ).
fof(f741,plain,
( ! [X0] : multiply(multiply(sk_c1,identity),X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f3,f717]) ).
fof(f744,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f719,f401]) ).
fof(f746,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f401,f719]) ).
fof(f721,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f3,f400]) ).
fof(f723,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f3,f722]) ).
fof(f1377,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1257,f63]) ).
fof(f1257,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c1),multiply(sk_c10,X0))
| ~ spl0_22 ),
inference(superposition,[],[f93,f401]) ).
fof(f1261,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_19 ),
inference(superposition,[],[f93,f674]) ).
fof(f1264,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c10),multiply(sk_c1,X0))
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f726]) ).
fof(f1266,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c10),multiply(sk_c1,X0))
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f93,f464]) ).
fof(f1271,plain,
( sk_c1 = multiply(inverse(sk_c10),multiply(sk_c1,identity))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f93,f717]) ).
fof(f1280,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl0_2 ),
inference(superposition,[],[f93,f412]) ).
fof(f1281,plain,
( sk_c4 = multiply(inverse(sk_c10),multiply(sk_c1,identity))
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f93,f467]) ).
fof(f1283,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl0_19 ),
inference(superposition,[],[f93,f669]) ).
fof(f1284,plain,
( sk_c6 = multiply(inverse(sk_c10),multiply(sk_c1,identity))
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f671]) ).
fof(f1288,plain,
( sk_c3 = multiply(inverse(sk_c10),multiply(sk_c1,identity))
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f93,f469]) ).
fof(f1345,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1152,f1141]) ).
fof(f1344,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f55,f1141]) ).
fof(f1343,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f57,f1141]) ).
fof(f1312,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1277,f2]) ).
fof(f1277,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f93,f400]) ).
fof(f1315,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1278,f2]) ).
fof(f1278,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f93,f722]) ).
fof(f1329,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1328,f1141]) ).
fof(f1328,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1288,f1095]) ).
fof(f1327,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1287,f1141]) ).
fof(f1325,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1324,f1135]) ).
fof(f1324,plain,
( sk_c6 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1284,f1095]) ).
fof(f1323,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1283,f1135]) ).
fof(f1321,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1320,f1125]) ).
fof(f1320,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1281,f1095]) ).
fof(f1319,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1280,f1125]) ).
fof(f1274,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f1156]) ).
fof(f1307,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1271,f1095]) ).
fof(f1305,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1266,f1141]) ).
fof(f1302,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c10),multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1264,f1135]) ).
fof(f1299,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1262,f1141]) ).
fof(f1298,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1261,f1135]) ).
fof(f1259,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c11),X0)
| ~ spl0_1 ),
inference(superposition,[],[f93,f719]) ).
fof(f1255,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl0_8 ),
inference(superposition,[],[f93,f1088]) ).
fof(f1254,plain,
( identity = multiply(inverse(sk_c11),sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f1205]) ).
fof(f1250,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_8 ),
inference(superposition,[],[f93,f1090]) ).
fof(f1249,plain,
( ! [X0] : multiply(inverse(sk_c11),multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f93,f1158]) ).
fof(f1207,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1206,f1]) ).
fof(f1206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f1170]) ).
fof(f1204,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1188,f1141]) ).
fof(f1188,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f337,f1158]) ).
fof(f1203,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1187,f1135]) ).
fof(f1187,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f669,f1158]) ).
fof(f1202,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1186,f1125]) ).
fof(f1186,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f412,f1158]) ).
fof(f1183,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f716,f1158]) ).
fof(f1201,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1182,f1141]) ).
fof(f1182,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f339,f1158]) ).
fof(f1200,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1181,f1135]) ).
fof(f1181,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f674,f1158]) ).
fof(f1179,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f719,f1158]) ).
fof(f1197,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1177,f1090]) ).
fof(f1177,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f401,f1158]) ).
fof(f1194,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1175,f1141]) ).
fof(f1175,plain,
( identity = multiply(sk_c1,sk_c3)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f337]) ).
fof(f1193,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1174,f1135]) ).
fof(f1174,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f669]) ).
fof(f1192,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1173,f1125]) ).
fof(f1173,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f412]) ).
fof(f1191,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1169,f1141]) ).
fof(f1169,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f339]) ).
fof(f1190,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1168,f1135]) ).
fof(f1168,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f674]) ).
fof(f1166,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1158,f719]) ).
fof(f1158,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1157,f1090]) ).
fof(f1157,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f1155]) ).
fof(f1165,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1161,f1090]) ).
fof(f1161,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f1156]) ).
fof(f1156,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f719,f1155]) ).
fof(f1106,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f717,f1090]) ).
fof(f1105,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f464,f1090]) ).
fof(f1103,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f726,f1090]) ).
fof(f1094,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f1090,f464]) ).
fof(f1092,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f1090,f726]) ).
fof(f1083,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1082,f206]) ).
fof(f1082,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_9 ),
inference(forward_demodulation,[],[f24,f206]) ).
fof(f1081,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f27,f206]) ).
fof(f1080,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f28,f206]) ).
fof(f1079,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1078,f206]) ).
fof(f1078,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f30,f206]) ).
fof(f464,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f401,f339]) ).
fof(f727,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f401,f674]) ).
fof(f715,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f63,f309,f312,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f711,f19,f712,f18,f713,f15,f714,f13]) ).
fof(f714,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f63,f309,f312,f44,f8,f11,f5,f4,f13,f50,f23,f26,f53,f21,f711,f19,f712,f18,f713,f15]) ).
fof(f713,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f63,f309,f312,f44,f8,f11,f5,f4,f15,f13,f50,f23,f26,f53,f21,f711,f19,f712,f18]) ).
fof(f712,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f63,f309,f312,f44,f8,f11,f5,f4,f18,f15,f13,f50,f23,f26,f53,f21,f711,f19]) ).
fof(f711,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f63,f309,f312,f44,f8,f11,f5,f4,f19,f18,f15,f13,f50,f23,f26,f53,f21]) ).
fof(f667,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f335,f358,f360,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f26,f666,f53]) ).
fof(f666,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f335,f358,f360,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f53,f26]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f482,f1]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f481,f3]) ).
fof(f481,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f3,f469]) ).
fof(f480,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f479,f1]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f478,f3]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f3,f468]) ).
fof(f468,plain,
( multiply(sk_c10,sk_c6) = multiply(sk_c1,identity)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f401,f358]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f476,f1]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(sk_c1,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f475,f3]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(multiply(sk_c1,identity),X0)
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f3,f467]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f401,f360]) ).
fof(f462,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(sk_c1,X0)
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f401,f439]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f438,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f412]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_19 ),
inference(forward_demodulation,[],[f359,f1]) ).
fof(f359,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl0_19 ),
inference(superposition,[],[f2,f335]) ).
fof(f308,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f16,f301,f17,f302,f20,f303,f13,f304,f15,f305,f18,f306,f19,f307,f21]) ).
fof(f307,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f16,f301,f17,f302,f20,f303,f13,f304,f15,f305,f18,f306,f19]) ).
fof(f306,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f16,f301,f17,f302,f20,f303,f13,f304,f15,f305,f18]) ).
fof(f305,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f18,f16,f301,f17,f302,f20,f303,f13,f304,f15]) ).
fof(f304,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f18,f15,f16,f301,f17,f302,f20,f303,f13]) ).
fof(f303,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f18,f15,f13,f16,f301,f17,f302,f20]) ).
fof(f302,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f18,f15,f13,f20,f16,f301,f17]) ).
fof(f301,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_1 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f63,f197,f199,f34,f21,f19,f18,f15,f13,f20,f17,f16]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f197]) ).
fof(f197,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f63]) ).
fof(f96,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f87,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f67]) ).
fof(f2629,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2628,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f2627,f1569]) ).
fof(f1569,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1568,f1524]) ).
fof(f1568,plain,
( sk_c1 = inverse(sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1567,f63]) ).
fof(f1567,plain,
( sk_c1 = inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f344,f1524]) ).
fof(f344,plain,
( sk_c11 = inverse(inverse(sk_c11))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl0_20
<=> sk_c11 = inverse(inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2627,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f2593,f1524]) ).
fof(f2593,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2589]) ).
fof(f2589,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_26 ),
inference(superposition,[],[f1985,f1933]) ).
fof(f1933,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl0_2
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1310,f348]) ).
fof(f1310,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1275,f67]) ).
fof(f1275,plain,
( sk_c11 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_26 ),
inference(superposition,[],[f93,f733]) ).
fof(f2596,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2595,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2594,f63]) ).
fof(f2594,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2588]) ).
fof(f2588,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1985,f2567]) ).
fof(f2567,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2550,f334]) ).
fof(f334,plain,
( sk_c11 != inverse(sk_c6)
| spl0_19 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f2550,plain,
( sk_c11 = multiply(sk_c1,identity)
| sk_c11 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2328,f1606]) ).
fof(f2582,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2581]) ).
fof(f2581,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2580,f63]) ).
fof(f2580,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2576]) ).
fof(f2576,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1932,f2567]) ).
fof(f1932,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1850,f348]) ).
fof(f1850,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c10)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f118,f206]) ).
fof(f118,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c9)
| sk_c11 != inverse(X5) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_7
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2562,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2561,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2560,f63]) ).
fof(f2560,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2556]) ).
fof(f2556,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1932,f2537]) ).
fof(f2537,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2491,f1606]) ).
fof(f2491,plain,
( sk_c11 = multiply(sk_c3,identity)
| spl0_2
| ~ spl0_13 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f66,f237,f2328,f2490]) ).
fof(f2546,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2544,f63]) ).
fof(f2544,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2540,f1575]) ).
fof(f2540,plain,
( sk_c1 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1932,f2531]) ).
fof(f2485,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2484,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2482,f63]) ).
fof(f2482,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2478]) ).
fof(f2478,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1932,f2448]) ).
fof(f2400,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_27 ),
inference(global_subsumption,[],[f1231,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f1972,plain,
( sk_c11 = inverse(sk_c6)
| spl0_10 ),
inference(subsumption_resolution,[],[f35,f213]) ).
fof(f1830,plain,
( sk_c11 = inverse(sk_c4)
| spl0_10 ),
inference(subsumption_resolution,[],[f32,f213]) ).
fof(f1818,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| spl0_10 ),
inference(subsumption_resolution,[],[f31,f213]) ).
fof(f213,plain,
( sk_c10 != inverse(sk_c2)
| spl0_10 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| spl0_19 ),
inference(superposition,[],[f3,f351]) ).
fof(f351,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| spl0_19 ),
inference(subsumption_resolution,[],[f8,f334]) ).
fof(f1231,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1086,f1090]) ).
fof(f1086,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_9
| ~ spl0_27 ),
inference(superposition,[],[f3,f1084]) ).
fof(f1084,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[],[f737,f206]) ).
fof(f737,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f2398,plain,
( ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2397,plain,
( $false
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f2396,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2396,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1084,f348]) ).
fof(f2395,plain,
( ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2394,plain,
( $false
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1430,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f1430,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1084,f348]) ).
fof(f2393,plain,
( ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2392]) ).
fof(f2392,plain,
( $false
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1643,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f1643,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1642,f1]) ).
fof(f1642,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f3,f1430]) ).
fof(f2391,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2390,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2095,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2095,plain,
( identity = sk_c8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2094,f2020]) ).
fof(f2020,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f2019,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1684,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f237,f348,f1619,f1972,f1889,f2015]) ).
fof(f1889,plain,
( identity = multiply(sk_c4,sk_c11)
| spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1818,f348]) ).
fof(f1619,plain,
( identity != inverse(sk_c2)
| spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f213,f348]) ).
fof(f1684,plain,
( identity = multiply(sk_c8,sk_c9)
| spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1683,f348]) ).
fof(f1683,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_10
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1609,f1619]) ).
fof(f2094,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2091,f370]) ).
fof(f2091,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f93,f2023]) ).
fof(f2023,plain,
( identity = multiply(sk_c7,sk_c8)
| spl0_10
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1613,f1615,f1684,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f348,f1619,f1972,f1889,f2015,f2022]) ).
fof(f2389,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2388]) ).
fof(f2388,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_26 ),
inference(global_subsumption,[],[f2223,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2223,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2218]) ).
fof(f2218,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_26 ),
inference(superposition,[],[f1932,f1933]) ).
fof(f2387,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2386]) ).
fof(f2386,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2052,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2052,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1850,f348]) ).
fof(f2385,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2384]) ).
fof(f2384,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2383,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2383,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2053,f348]) ).
fof(f2053,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c10)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f118,f206]) ).
fof(f2382,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2381]) ).
fof(f2381,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2054,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2054,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2053,f348]) ).
fof(f2380,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2379,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2129,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2129,plain,
( identity = sk_c7
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f2097,f1]) ).
fof(f2097,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f372,f2095]) ).
fof(f2375,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2373,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2373,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1850,f348]) ).
fof(f2372,plain,
( ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2371]) ).
fof(f2371,plain,
( $false
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1860,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f1860,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f1084,f348]) ).
fof(f2368,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2367]) ).
fof(f2367,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f1932,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2366,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2365]) ).
fof(f2365,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2364,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2364,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2363,f348]) ).
fof(f2363,plain,
( sk_c10 = sk_c8
| ~ spl0_8
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2137,f202]) ).
fof(f2137,plain,
( sk_c8 = inverse(identity)
| ~ spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f370,f2129]) ).
fof(f2361,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2360,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_26 ),
inference(global_subsumption,[],[f2302,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2302,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2218]) ).
fof(f2359,plain,
( spl0_10
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2358]) ).
fof(f2358,plain,
( $false
| spl0_10
| ~ spl0_18
| spl0_19 ),
inference(global_subsumption,[],[f331,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2357,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| ~ spl0_1
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f1606,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2355,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2354]) ).
fof(f2354,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(global_subsumption,[],[f1100,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2353,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2352]) ).
fof(f2352,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(global_subsumption,[],[f1111,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2351,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2350]) ).
fof(f2350,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_22 ),
inference(global_subsumption,[],[f1141,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2349,plain,
( spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2348]) ).
fof(f2348,plain,
( $false
| spl0_10
| ~ spl0_18
| spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f1396,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2347,plain,
( spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2346]) ).
fof(f2346,plain,
( $false
| spl0_10
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f1972,f334]) ).
fof(f2345,plain,
( spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2344]) ).
fof(f2344,plain,
( $false
| spl0_10
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2342,plain,
( spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2341]) ).
fof(f2341,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2026,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2026,plain,
( sk_c11 = multiply(sk_c6,identity)
| spl0_10
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1613,f1615,f1684,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f348,f1619,f1972,f1889,f2015,f2022,f2023,f2025]) ).
fof(f2340,plain,
( spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2339]) ).
fof(f2339,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2040,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2040,plain,
( sk_c11 = multiply(sk_c6,identity)
| spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2039,f348]) ).
fof(f2039,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_10 ),
inference(subsumption_resolution,[],[f36,f213]) ).
fof(f2338,plain,
( spl0_10
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2337]) ).
fof(f2337,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2195,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2336,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2335]) ).
fof(f2335,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2263,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2334,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2333]) ).
fof(f2333,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2332,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2330,plain,
( spl0_10
| ~ spl0_13
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2329,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19 ),
inference(global_subsumption,[],[f2328,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2324,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2323]) ).
fof(f2323,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2322,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2320,plain,
( spl0_10
| spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2319]) ).
fof(f2319,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_23 ),
inference(global_subsumption,[],[f1285,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f1285,plain,
( sk_c7 = multiply(inverse(sk_c8),identity)
| ~ spl0_23 ),
inference(superposition,[],[f93,f372]) ).
fof(f2318,plain,
( spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
fof(f2317,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2094,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2316,plain,
( spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
fof(f2315,plain,
( $false
| spl0_10
| spl0_19
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2090,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2090,plain,
( sk_c8 = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f374,f2023]) ).
fof(f2314,plain,
( ~ spl0_7
| spl0_10
| ~ spl0_13
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2313]) ).
fof(f2313,plain,
( $false
| ~ spl0_7
| spl0_10
| ~ spl0_13
| spl0_19 ),
inference(global_subsumption,[],[f2242,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2242,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f118,f237]) ).
fof(f2312,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2311,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2249,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2249,plain,
( identity = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2248,f348]) ).
fof(f2248,plain,
( sk_c10 = multiply(sk_c8,identity)
| spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2034,f237]) ).
fof(f2034,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_10 ),
inference(subsumption_resolution,[],[f39,f213]) ).
fof(f2310,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
fof(f2309,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21 ),
inference(global_subsumption,[],[f2255,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2308,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2307,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1881,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f1881,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1741,f348]) ).
fof(f1741,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f737,f237]) ).
fof(f2306,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2305]) ).
fof(f2305,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f2278,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2278,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1400,f237]) ).
fof(f1400,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f737,f348]) ).
fof(f2304,plain,
( spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2303]) ).
fof(f2303,plain,
( $false
| spl0_10
| ~ spl0_13
| spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f2292,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f213,f1818,f1830,f334,f1972]) ).
fof(f2292,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f2291,f237]) ).
fof(f2291,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f737,f348]) ).
fof(f2301,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2300]) ).
fof(f2300,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f2299,f348]) ).
fof(f2299,plain,
( identity != sk_c10
| spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f207,f237]) ).
fof(f2298,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2297,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1698,f237]) ).
fof(f2296,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2295,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1731,f348]) ).
fof(f1731,plain,
( identity != sk_c10
| spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f207,f237]) ).
fof(f2294,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2293,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f2292,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025,f2255]) ).
fof(f2280,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2279]) ).
fof(f2279,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f2278,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025,f2255]) ).
fof(f2277,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2276,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1881,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025,f2255]) ).
fof(f2257,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2256,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025,f2255]) ).
fof(f2251,plain,
( spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2250,plain,
( $false
| spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f2249,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2244,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2243]) ).
fof(f2243,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f2242,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2241,plain,
( spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2240]) ).
fof(f2240,plain,
( $false
| spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2090,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2239,plain,
( spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2238]) ).
fof(f2238,plain,
( $false
| spl0_9
| spl0_10
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f2094,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2237,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2236]) ).
fof(f2236,plain,
( $false
| spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_23 ),
inference(global_subsumption,[],[f1285,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2235,plain,
( spl0_9
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2234,plain,
( $false
| spl0_9
| ~ spl0_13
| spl0_18
| ~ spl0_21 ),
inference(global_subsumption,[],[f2233,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f1611,f1613,f1615,f1618,f1698,f33,f36,f37,f39,f30,f28,f27,f24,f6,f9,f10,f12,f207,f1731,f237,f348,f2015,f2022,f2025]) ).
fof(f2226,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2225]) ).
fof(f2225,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2224,f63]) ).
fof(f2224,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2217]) ).
fof(f2217,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1932,f2101]) ).
fof(f2101,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl0_1
| spl0_10
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2026,f1605]) ).
fof(f2181,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2180,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f2179,f1569]) ).
fof(f2179,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f2174]) ).
fof(f2174,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f2120,f2074]) ).
fof(f2120,plain,
( ! [X5] :
( sk_c1 != multiply(X5,identity)
| sk_c1 != inverse(X5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2119,f1524]) ).
fof(f2119,plain,
( ! [X5] :
( sk_c1 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1932,f1524]) ).
fof(f2010,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2009,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f2008,f335]) ).
fof(f2008,plain,
( sk_c11 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_21
| spl0_22 ),
inference(trivial_inequality_removal,[],[f2000]) ).
fof(f2000,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c6)
| ~ spl0_6
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f1985,f1861]) ).
fof(f1861,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f1718,f348]) ).
fof(f1718,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f33,f1717,f36]) ).
fof(f1717,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f33]) ).
fof(f390,plain,
( sk_c11 = inverse(sk_c4)
| spl0_22 ),
inference(subsumption_resolution,[],[f5,f365]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| spl0_22 ),
inference(superposition,[],[f3,f377]) ).
fof(f377,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| spl0_22 ),
inference(subsumption_resolution,[],[f4,f365]) ).
fof(f365,plain,
( multiply(sk_c1,sk_c11) != sk_c10
| spl0_22 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f1981,plain,
( spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f1980,plain,
( $false
| spl0_19
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390,f1969,f334]) ).
fof(f1969,plain,
( sk_c11 = inverse(sk_c6)
| spl0_22 ),
inference(subsumption_resolution,[],[f8,f365]) ).
fof(f1827,plain,
( sk_c11 = inverse(sk_c4)
| spl0_22 ),
inference(subsumption_resolution,[],[f5,f365]) ).
fof(f1817,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| spl0_22 ),
inference(subsumption_resolution,[],[f4,f365]) ).
fof(f1720,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39]) ).
fof(f1721,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f28,f27,f24,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30]) ).
fof(f1730,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12]) ).
fof(f1750,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_22 ),
inference(superposition,[],[f3,f1719]) ).
fof(f1719,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37]) ).
fof(f1746,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| spl0_22 ),
inference(superposition,[],[f3,f1718]) ).
fof(f1729,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10]) ).
fof(f1728,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9]) ).
fof(f1727,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27,f1723,f24,f1724,f6]) ).
fof(f1724,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27,f1723,f24]) ).
fof(f1723,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f24,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28,f1722,f27]) ).
fof(f1722,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f365,f377,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f27,f24,f51,f55,f57,f1247,f54,f33,f1717,f36,f1718,f37,f1719,f39,f1720,f30,f1721,f28]) ).
fof(f1978,plain,
( ~ spl0_9
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f1977,plain,
( $false
| ~ spl0_9
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(global_subsumption,[],[f1976,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390,f1969]) ).
fof(f1974,plain,
( spl0_10
| spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1973,plain,
( $false
| spl0_10
| spl0_19
| spl0_22 ),
inference(global_subsumption,[],[f1972,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390,f1969]) ).
fof(f1971,plain,
( spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1970,plain,
( $false
| spl0_19
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390,f1969]) ).
fof(f1968,plain,
( spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1967,plain,
( $false
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(global_subsumption,[],[f1966,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390]) ).
fof(f1966,plain,
( identity = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_21
| spl0_22 ),
inference(forward_demodulation,[],[f1745,f348]) ).
fof(f1745,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c11)
| spl0_22 ),
inference(superposition,[],[f93,f1718]) ).
fof(f1965,plain,
( spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1964]) ).
fof(f1964,plain,
( $false
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(global_subsumption,[],[f1940,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390]) ).
fof(f1940,plain,
( identity = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f93,f1861]) ).
fof(f1963,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1962,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_19
| ~ spl0_21
| spl0_22 ),
inference(global_subsumption,[],[f1959,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f380,f5,f4,f50,f23,f334,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f1827,f390]) ).
fof(f1959,plain,
( sk_c11 != inverse(sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| spl0_22 ),
inference(trivial_inequality_removal,[],[f1951]) ).
fof(f1951,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f1932,f1861]) ).
fof(f1961,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1960,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f1959,f335]) ).
fof(f1852,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1845,f735,f347,f205,f201,f236]) ).
fof(f1845,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1400,f1231]) ).
fof(f1851,plain,
( spl0_13
| spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1680,f347,f216,f212,f236]) ).
fof(f1680,plain,
( identity = sk_c9
| spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1679,f1]) ).
fof(f1679,plain,
( sk_c9 = multiply(identity,identity)
| spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1678,f1661]) ).
fof(f1661,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f1384,f1]) ).
fof(f1384,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f310,f348]) ).
fof(f310,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f2,f218]) ).
fof(f218,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f1678,plain,
( sk_c9 = multiply(sk_c5,identity)
| spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1677,f348]) ).
fof(f1677,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_10
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1616,f1619]) ).
fof(f1840,plain,
( spl0_2
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1839,plain,
( $false
| spl0_2
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390,f1827,f66]) ).
fof(f1838,plain,
( spl0_2
| spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1837,plain,
( $false
| spl0_2
| spl0_22
| ~ spl0_26 ),
inference(global_subsumption,[],[f733,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f66,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390,f1827]) ).
fof(f1835,plain,
( spl0_2
| ~ spl0_9
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| spl0_2
| ~ spl0_9
| spl0_22 ),
inference(global_subsumption,[],[f1833,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f66,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390,f1827]) ).
fof(f1832,plain,
( spl0_2
| spl0_10
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1831]) ).
fof(f1831,plain,
( $false
| spl0_2
| spl0_10
| spl0_22 ),
inference(global_subsumption,[],[f1830,f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f66,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390,f1827]) ).
fof(f1829,plain,
( spl0_2
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1828,plain,
( $false
| spl0_2
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f66,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390,f1827]) ).
fof(f1826,plain,
( spl0_2
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1825]) ).
fof(f1825,plain,
( $false
| spl0_2
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f5,f395,f396,f397,f4,f398,f66,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f390]) ).
fof(f1824,plain,
( spl0_22
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1823]) ).
fof(f1823,plain,
( $false
| spl0_22
| spl0_26 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f380,f390,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f51,f55,f57,f1247,f54,f33,f1717,f36,f37,f39,f30,f28,f1722,f27,f1723,f24,f1724,f6,f1727,f9,f1728,f10,f1729,f12,f365,f1718,f1746,f1719,f1750,f1730,f1721,f1720,f377,f1817,f732]) ).
fof(f1816,plain,
( ~ spl0_2
| spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1815,plain,
( $false
| ~ spl0_2
| spl0_21
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f1814,f349]) ).
fof(f349,plain,
( identity != sk_c10
| spl0_21 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f1814,plain,
( identity = sk_c10
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1811,f2]) ).
fof(f1811,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f93,f1310]) ).
fof(f1788,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(avatar_split_clause,[],[f1783,f364,f216,f201,f205]) ).
fof(f1783,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1782,f1]) ).
fof(f1782,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1717,f1097]) ).
fof(f1097,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f1090,f310]) ).
fof(f1787,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(avatar_split_clause,[],[f1779,f364,f216,f201,f205]) ).
fof(f1779,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1778,f1]) ).
fof(f1778,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1724,f1097]) ).
fof(f1786,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(avatar_split_clause,[],[f1775,f364,f216,f201,f205]) ).
fof(f1775,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1774,f1]) ).
fof(f1774,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[],[f1727,f1097]) ).
fof(f1785,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(subsumption_resolution,[],[f1783,f207]) ).
fof(f1781,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1780,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(subsumption_resolution,[],[f1779,f207]) ).
fof(f1777,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1776,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_11
| spl0_22 ),
inference(subsumption_resolution,[],[f1775,f207]) ).
fof(f1772,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1771,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f1770,f349]) ).
fof(f1770,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(forward_demodulation,[],[f1764,f2]) ).
fof(f1764,plain,
( sk_c10 = multiply(inverse(identity),identity)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(superposition,[],[f93,f1743]) ).
fof(f1743,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(forward_demodulation,[],[f1742,f1097]) ).
fof(f1742,plain,
( identity = multiply(sk_c5,sk_c10)
| ~ spl0_13
| spl0_22 ),
inference(forward_demodulation,[],[f1717,f237]) ).
fof(f1769,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1768,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f1763,f349]) ).
fof(f1763,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(superposition,[],[f1,f1743]) ).
fof(f1767,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_21
| spl0_22 ),
inference(subsumption_resolution,[],[f1762,f349]) ).
fof(f1762,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| spl0_22 ),
inference(superposition,[],[f1743,f1]) ).
fof(f1716,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1715,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1714,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1671,plain,
( identity = inverse(identity)
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1667,f348]) ).
fof(f1667,plain,
( sk_c10 = inverse(identity)
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f218,f1661]) ).
fof(f1666,plain,
( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1664,f1]) ).
fof(f1664,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c5,X0))
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f3,f1384]) ).
fof(f1665,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1663,f2]) ).
fof(f1663,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f93,f1384]) ).
fof(f1662,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f1,f1384]) ).
fof(f1385,plain,
( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f314,f348]) ).
fof(f1263,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_11 ),
inference(superposition,[],[f93,f314]) ).
fof(f1282,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl0_11 ),
inference(superposition,[],[f93,f310]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f313,f1]) ).
fof(f313,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f310]) ).
fof(f1713,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_9
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1712,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_9
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(global_subsumption,[],[f1349,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1349,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f207,f199,f34,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f309,f310,f312,f314,f44,f331,f337,f339,f8,f11,f5,f4,f366,f50,f23,f401,f469,f483,f26,f53,f21,f711,f19,f712,f18,f713,f15,f714,f13,f715,f63,f716,f400,f721,f722,f723,f22,f717,f743,f719,f744,f746,f464,f202,f1088,f1090,f1091,f1094,f1100,f1102,f1105,f1106,f1108,f1111,f1097,f1095,f1141,f93,f1248,f1250,f1252,f1255,f1259,f1299,f1301,f1305,f1269,f1270,f1307,f1322,f1327,f1329,f1315,f1312,f1343,f1344,f1348]) ).
fof(f1348,plain,
( sk_c10 = sk_c9
| sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1347,f1]) ).
fof(f1347,plain,
( sk_c9 = multiply(identity,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1346,f1097]) ).
fof(f1346,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f51,f1141]) ).
fof(f1322,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1282,f1097]) ).
fof(f1301,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1300,f1]) ).
fof(f1300,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1263,f1097]) ).
fof(f1108,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f310,f1090]) ).
fof(f1102,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f314,f1090]) ).
fof(f1091,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f1090,f314]) ).
fof(f1705,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1704,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1444,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1703,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1702]) ).
fof(f1702,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1701,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1701,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1450,f348]) ).
fof(f1450,plain,
( sk_c10 = inverse(identity)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f218,f1097]) ).
fof(f1700,plain,
( spl0_9
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1699,plain,
( $false
| spl0_9
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1698,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1697,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
fof(f1696,plain,
( $false
| spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1695,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1695,plain,
( identity = inverse(inverse(identity))
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f233,f348]) ).
fof(f233,plain,
( sk_c10 = inverse(inverse(sk_c10))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_12
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1694,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1693]) ).
fof(f1693,plain,
( $false
| spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1492,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1492,plain,
( identity = inverse(inverse(identity))
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f233,f348]) ).
fof(f1692,plain,
( spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1691]) ).
fof(f1691,plain,
( $false
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684,f238]) ).
fof(f1690,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1689,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f1341,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f238,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684]) ).
fof(f1341,plain,
( identity != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_3
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f155,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f106,f22,f93,f1248,f1252,f1269,f348,f166]) ).
fof(f166,plain,
( identity != sk_c10
| identity != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_3 ),
inference(inner_rewriting,[],[f155]) ).
fof(f106,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_3
<=> ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X9,inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f155,plain,
( identity != sk_c10
| sk_c10 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_3 ),
inference(superposition,[],[f106,f2]) ).
fof(f1688,plain,
( spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1687,plain,
( $false
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(global_subsumption,[],[f1402,f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f238,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684]) ).
fof(f1402,plain,
( identity = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f93,f1400]) ).
fof(f1686,plain,
( spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1685,plain,
( $false
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f238,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680,f1684]) ).
fof(f1682,plain,
( spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1681]) ).
fof(f1681,plain,
( $false
| spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f238,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f218,f310,f314,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1282,f1263,f1247,f54,f348,f1385,f1613,f1615,f1619,f1384,f1662,f1665,f1666,f1661,f1671,f1680]) ).
fof(f1673,plain,
( spl0_8
| ~ spl0_11
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| spl0_8
| ~ spl0_11
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1671,f1399]) ).
fof(f1399,plain,
( identity != inverse(identity)
| spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f203,f348]) ).
fof(f203,plain,
( sk_c10 != inverse(identity)
| spl0_8 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f1654,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1653,plain,
( $false
| spl0_12
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f234,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f348,f237,f1499,f1611,f1613,f1615,f1618,f1383,f1652]) ).
fof(f1652,plain,
( identity != inverse(inverse(identity))
| spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f234,f348]) ).
fof(f1383,plain,
( identity != inverse(inverse(identity))
| spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f234,f348]) ).
fof(f1499,plain,
( identity = inverse(inverse(identity))
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f455,f237]) ).
fof(f234,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl0_12 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1651,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1650,plain,
( $false
| spl0_12
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f234,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f93,f1248,f1252,f1269,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f348,f237,f1499,f1611,f1613,f1615,f1618,f1383]) ).
fof(f1649,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f49,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f106,f22,f93,f1248,f1252,f1269,f166,f1341,f155,f1342,f30,f28,f27,f24,f51,f55,f57,f1247,f54,f348,f237,f1601,f1611,f1613,f1615,f1618,f1492,f1646,f1647]) ).
fof(f1647,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f2,f1492]) ).
fof(f1646,plain,
( ! [X0] : multiply(identity,multiply(inverse(identity),X0)) = X0
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f93,f1492]) ).
fof(f1601,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl0_3
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1341,f237]) ).
fof(f1342,plain,
( sk_c10 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_3
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f106,f22,f93,f1248,f1252,f1269,f348,f166,f1341,f155]) ).
fof(f1604,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1603,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1602,f1]) ).
fof(f1602,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1601,f1444]) ).
fof(f1566,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1565,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1564,f1524]) ).
fof(f1564,plain,
( sk_c1 != sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f1549,f63]) ).
fof(f1549,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1548,f1524]) ).
fof(f1548,plain,
( sk_c1 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1528,f63]) ).
fof(f1528,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f345,f1524]) ).
fof(f345,plain,
( sk_c11 != inverse(inverse(sk_c11))
| spl0_20 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f1498,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| spl0_24 ),
inference(subsumption_resolution,[],[f1496,f1444]) ).
fof(f1496,plain,
( identity != inverse(identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_21
| spl0_24 ),
inference(forward_demodulation,[],[f1437,f1444]) ).
fof(f1437,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9
| ~ spl0_21
| spl0_24 ),
inference(forward_demodulation,[],[f959,f348]) ).
fof(f959,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl0_9
| spl0_24 ),
inference(superposition,[],[f456,f206]) ).
fof(f456,plain,
( identity != inverse(inverse(sk_c9))
| spl0_24 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f1491,plain,
( ~ spl0_8
| spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl0_8
| spl0_12
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1489,f1444]) ).
fof(f1489,plain,
( identity != inverse(identity)
| ~ spl0_8
| spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1383,f1444]) ).
fof(f1446,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1442,f347,f216,f212,f201,f236]) ).
fof(f1442,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1358,f348]) ).
fof(f1358,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1357,plain,
( sk_c10 = sk_c9
| sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1356,f1]) ).
fof(f1356,plain,
( sk_c9 = multiply(identity,sk_c10)
| sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1355,f1097]) ).
fof(f1355,plain,
( sk_c10 = sk_c9
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1354,f1]) ).
fof(f1354,plain,
( sk_c9 = multiply(identity,sk_c10)
| multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f24,f1099]) ).
fof(f1099,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f1090,f220]) ).
fof(f1445,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1439,f735,f347,f212,f201,f236]) ).
fof(f1439,plain,
( identity = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1351,f348]) ).
fof(f1351,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1350,f1]) ).
fof(f1350,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_demodulation,[],[f737,f1099]) ).
fof(f1429,plain,
( ~ spl0_10
| spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| ~ spl0_10
| spl0_13
| ~ spl0_21
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1427,f238]) ).
fof(f1427,plain,
( identity = sk_c9
| ~ spl0_10
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1420,f1]) ).
fof(f1420,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_10
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f1400,f1410]) ).
fof(f1423,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1422,plain,
( $false
| spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1421,f1399]) ).
fof(f1421,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1416,f348]) ).
fof(f1416,plain,
( sk_c10 = inverse(identity)
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f214,f1410]) ).
fof(f1375,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1374,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351,f1367,f1371,f207]) ).
fof(f1371,plain,
( sk_c10 = sk_c9
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1370,f1]) ).
fof(f1370,plain,
( sk_c9 = multiply(identity,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f30,f1099]) ).
fof(f1367,plain,
( sk_c10 = sk_c9
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1366,f1]) ).
fof(f1366,plain,
( sk_c9 = multiply(identity,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f28,f1099]) ).
fof(f1326,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1286,f1099]) ).
fof(f1286,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_10 ),
inference(superposition,[],[f93,f220]) ).
fof(f1304,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1303,f1]) ).
fof(f1303,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1265,f1099]) ).
fof(f1265,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_10 ),
inference(superposition,[],[f93,f222]) ).
fof(f1110,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f220,f1090]) ).
fof(f1104,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f222,f1090]) ).
fof(f1093,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f1090,f222]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f221,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f220]) ).
fof(f1373,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1372,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f207,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351,f1367,f1371]) ).
fof(f1369,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1368,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f207,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351,f1367]) ).
fof(f1365,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1364,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(global_subsumption,[],[f1363,f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f207,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351]) ).
fof(f1363,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1362,f1135]) ).
fof(f1362,plain,
( sk_c10 = sk_c9
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1361,f1]) ).
fof(f1361,plain,
( sk_c9 = multiply(identity,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f27,f1099]) ).
fof(f1360,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_27 ),
inference(global_subsumption,[],[f1358,f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f207,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351]) ).
fof(f1353,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1352,plain,
( $false
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_27 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f207,f34,f214,f220,f222,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f202,f1088,f1090,f1093,f1104,f1110,f1099,f93,f1248,f1250,f1252,f1255,f1304,f1269,f1326,f1351]) ).
fof(f1340,plain,
( ~ spl0_9
| spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl0_9
| spl0_13
| ~ spl0_21 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f238,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f8,f11,f5,f4,f50,f23,f26,f53,f21,f19,f18,f15,f13,f22,f206,f1079,f1080,f1081,f1083,f93,f1248,f1252,f1269,f957,f348]) ).
fof(f957,plain,
( identity != sk_c10
| ~ spl0_9
| spl0_13 ),
inference(superposition,[],[f238,f206]) ).
fof(f1338,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(global_subsumption,[],[f1336,f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f238,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f309,f312,f44,f8,f11,f5,f4,f366,f50,f23,f401,f26,f53,f21,f711,f19,f712,f18,f713,f15,f714,f13,f715,f63,f716,f400,f721,f722,f723,f22,f717,f743,f719,f744,f746,f206,f1079,f1080,f1081,f1083,f93,f1248,f1252,f1259,f1269,f1270,f1315,f1312,f957]) ).
fof(f1336,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| identity != sk_c10
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f166,f206]) ).
fof(f1335,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(global_subsumption,[],[f1333,f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f238,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f309,f312,f44,f8,f11,f5,f4,f366,f50,f23,f401,f26,f53,f21,f711,f19,f712,f18,f713,f15,f714,f13,f715,f63,f716,f400,f721,f722,f723,f22,f717,f743,f719,f744,f746,f206,f1079,f1080,f1081,f1083,f93,f1248,f1252,f1259,f1269,f1270,f1315,f1312,f957]) ).
fof(f1333,plain,
( sk_c10 != multiply(sk_c10,inverse(sk_c10))
| identity != sk_c10
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f155,f206]) ).
fof(f1332,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1331,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_13
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f197,f199,f34,f238,f16,f301,f17,f302,f20,f303,f304,f305,f306,f307,f308,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f309,f312,f44,f8,f11,f5,f4,f366,f50,f23,f401,f26,f53,f21,f711,f19,f712,f18,f713,f15,f714,f13,f715,f63,f716,f400,f721,f722,f723,f22,f717,f743,f719,f744,f746,f206,f1079,f1080,f1081,f1083,f93,f1248,f1252,f1259,f1269,f1270,f1315,f1312,f957]) ).
fof(f1317,plain,
( ~ spl0_1
| spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl0_1
| spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1315,f349]) ).
fof(f1314,plain,
( ~ spl0_1
| spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl0_1
| spl0_21
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1312,f349]) ).
fof(f1073,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1072,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_27 ),
inference(subsumption_resolution,[],[f1071,f206]) ).
fof(f1071,plain,
( sk_c10 != sk_c9
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_27 ),
inference(forward_demodulation,[],[f1067,f1]) ).
fof(f1067,plain,
( sk_c9 != multiply(identity,sk_c10)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f736,f1015]) ).
fof(f1015,plain,
( identity = sk_c2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f988,f220]) ).
fof(f988,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(forward_demodulation,[],[f984,f1]) ).
fof(f984,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(identity,X0))
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f3,f979]) ).
fof(f979,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f314,f968]) ).
fof(f968,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(forward_demodulation,[],[f961,f310]) ).
fof(f961,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c5,identity)
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f788,f206]) ).
fof(f788,plain,
( multiply(sk_c9,sk_c5) = multiply(sk_c5,identity)
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f781,f310]) ).
fof(f1046,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1045,plain,
( $false
| spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(subsumption_resolution,[],[f1036,f203]) ).
fof(f1036,plain,
( sk_c10 = inverse(identity)
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f218,f1011]) ).
fof(f1011,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f988,f310]) ).
fof(f955,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f954,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(subsumption_resolution,[],[f953,f207]) ).
fof(f953,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(forward_demodulation,[],[f951,f818]) ).
fof(f951,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f719,f909]) ).
fof(f909,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22
| spl0_27 ),
inference(superposition,[],[f891,f849]) ).
fof(f849,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_11
| spl0_27 ),
inference(forward_demodulation,[],[f836,f816]) ).
fof(f836,plain,
( multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9)
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f819,f780]) ).
fof(f780,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_11
| spl0_27 ),
inference(superposition,[],[f314,f779]) ).
fof(f738,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f22,f735,f731]) ).
fof(f710,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f708,f67]) ).
fof(f708,plain,
( sk_c11 != inverse(sk_c4)
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f699,f620]) ).
fof(f620,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f610,f443]) ).
fof(f443,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f439,f425]) ).
fof(f425,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f62]) ).
fof(f62,plain,
( sk_c11 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f610,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| spl0_1
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f360,f597]) ).
fof(f597,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f596,f1]) ).
fof(f596,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,multiply(identity,X0)))
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f595,f3]) ).
fof(f595,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c1,identity),X0))
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f3,f568]) ).
fof(f568,plain,
( identity = multiply(sk_c6,multiply(sk_c1,identity))
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f558,f412]) ).
fof(f558,plain,
( multiply(sk_c11,sk_c4) = multiply(sk_c6,multiply(sk_c1,identity))
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f434,f467]) ).
fof(f434,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| spl0_1 ),
inference(superposition,[],[f3,f427]) ).
fof(f427,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f18,f62]) ).
fof(f699,plain,
( sk_c11 != multiply(sk_c1,sk_c10)
| sk_c11 != inverse(sk_c4)
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_22 ),
inference(superposition,[],[f115,f506]) ).
fof(f506,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,X0)
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f505,f1]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c1,multiply(identity,X0))
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f504,f3]) ).
fof(f504,plain,
( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(multiply(sk_c1,identity),X0)
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(superposition,[],[f3,f498]) ).
fof(f498,plain,
( multiply(sk_c4,identity) = multiply(sk_c1,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f491,f467]) ).
fof(f491,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c4,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f430,f412]) ).
fof(f430,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| spl0_1 ),
inference(superposition,[],[f3,f425]) ).
fof(f705,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f701,f335]) ).
fof(f701,plain,
( sk_c11 != inverse(sk_c6)
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f695]) ).
fof(f695,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c6)
| spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f115,f427]) ).
fof(f668,plain,
( spl0_19
| spl0_1 ),
inference(avatar_split_clause,[],[f72,f61,f333]) ).
fof(f72,plain,
( sk_c11 = inverse(sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f62]) ).
fof(f665,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f664,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f70,f71,f73,f75,f76,f77,f78,f79,f80,f3,f93,f85,f86,f89,f92,f59,f97,f120,f123,f98,f124,f127,f99,f128,f131,f84,f133,f137,f134,f174,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f74,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f351,f354,f8,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f62,f425,f426,f427,f428,f436,f429,f437,f430,f432,f434,f72,f657,f53,f26,f334]) ).
fof(f657,plain,
( sk_c11 = inverse(sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f62]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| spl0_1 ),
inference(superposition,[],[f3,f426]) ).
fof(f437,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f429]) ).
fof(f429,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_1 ),
inference(subsumption_resolution,[],[f21,f62]) ).
fof(f436,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_1 ),
inference(superposition,[],[f3,f428]) ).
fof(f428,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f19,f62]) ).
fof(f426,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f62]) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f20,f62]) ).
fof(f174,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c10,multiply(sk_c11,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f173,f3]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(multiply(sk_c10,sk_c11),X0)
| spl0_1 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( multiply(sk_c10,sk_c11) = multiply(sk_c4,sk_c10)
| spl0_1 ),
inference(superposition,[],[f84,f124]) ).
fof(f137,plain,
( multiply(sk_c4,identity) = multiply(sk_c10,sk_c6)
| spl0_1 ),
inference(superposition,[],[f84,f73]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f84,f98]) ).
fof(f84,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| spl0_1 ),
inference(superposition,[],[f3,f76]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| spl0_1 ),
inference(superposition,[],[f3,f128]) ).
fof(f128,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| spl0_1 ),
inference(superposition,[],[f99,f79]) ).
fof(f99,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f91,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f75]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| spl0_1 ),
inference(superposition,[],[f3,f124]) ).
fof(f124,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| spl0_1 ),
inference(superposition,[],[f98,f78]) ).
fof(f98,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f90,f1]) ).
fof(f90,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f73]) ).
fof(f123,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f120]) ).
fof(f120,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| spl0_1 ),
inference(superposition,[],[f97,f77]) ).
fof(f97,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f88,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| spl0_1 ),
inference(superposition,[],[f3,f71]) ).
fof(f92,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl0_1 ),
inference(superposition,[],[f3,f79]) ).
fof(f89,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| spl0_1 ),
inference(superposition,[],[f3,f80]) ).
fof(f86,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| spl0_1 ),
inference(superposition,[],[f3,f78]) ).
fof(f85,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| spl0_1 ),
inference(superposition,[],[f3,f77]) ).
fof(f80,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| spl0_1 ),
inference(subsumption_resolution,[],[f21,f62]) ).
fof(f79,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| spl0_1 ),
inference(subsumption_resolution,[],[f19,f62]) ).
fof(f78,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| spl0_1 ),
inference(subsumption_resolution,[],[f18,f62]) ).
fof(f77,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| spl0_1 ),
inference(subsumption_resolution,[],[f15,f62]) ).
fof(f76,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f62]) ).
fof(f75,plain,
( identity = multiply(sk_c8,sk_c7)
| spl0_1 ),
inference(superposition,[],[f2,f74]) ).
fof(f73,plain,
( identity = multiply(sk_c11,sk_c6)
| spl0_1 ),
inference(superposition,[],[f2,f72]) ).
fof(f71,plain,
( identity = multiply(sk_c10,sk_c5)
| spl0_1 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c5)
| spl0_1 ),
inference(subsumption_resolution,[],[f16,f62]) ).
fof(f663,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f70,f71,f73,f75,f76,f77,f78,f79,f80,f3,f93,f85,f86,f89,f92,f59,f97,f120,f123,f98,f124,f127,f99,f128,f131,f84,f133,f137,f134,f174,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f74,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f25,f7,f47,f43,f44,f334,f351,f354,f8,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f62,f425,f426,f427,f428,f436,f429,f437,f430,f432,f434,f72,f657,f53,f26]) ).
fof(f661,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f70,f71,f73,f75,f76,f77,f78,f79,f80,f3,f93,f85,f86,f89,f92,f59,f97,f120,f123,f98,f124,f127,f99,f128,f131,f84,f133,f137,f134,f174,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f74,f16,f17,f20,f56,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f334,f351,f354,f8,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f62,f425,f426,f427,f428,f436,f429,f437,f430,f432,f434,f72,f657,f53]) ).
fof(f659,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f70,f71,f73,f75,f76,f77,f78,f79,f80,f3,f93,f85,f86,f89,f92,f59,f97,f120,f123,f98,f124,f127,f99,f128,f131,f84,f133,f137,f134,f174,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f74,f16,f17,f20,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f334,f351,f354,f8,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f62,f425,f426,f427,f428,f436,f429,f437,f430,f432,f434,f72,f657]) ).
fof(f656,plain,
( spl0_1
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| spl0_1
| spl0_19 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f70,f71,f73,f75,f76,f77,f78,f79,f80,f3,f93,f85,f86,f89,f92,f59,f97,f120,f123,f98,f124,f127,f99,f128,f131,f84,f133,f137,f134,f174,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f74,f16,f17,f20,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f44,f334,f351,f354,f8,f11,f5,f4,f21,f19,f18,f15,f13,f50,f23,f62,f425,f426,f427,f428,f436,f429,f437,f430,f432,f434,f72]) ).
fof(f653,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f652,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f639,f521]) ).
fof(f521,plain,
( sk_c11 != multiply(sk_c1,sk_c9)
| spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f519,f67]) ).
fof(f519,plain,
( sk_c11 != multiply(sk_c1,sk_c9)
| sk_c11 != inverse(sk_c4)
| spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_22 ),
inference(superposition,[],[f118,f506]) ).
fof(f639,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| spl0_1
| ~ spl0_2
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f569,f610]) ).
fof(f569,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f560,f427]) ).
fof(f560,plain,
( multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9)
| spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f434,f431]) ).
fof(f431,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f314,f426]) ).
fof(f647,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f622,f521]) ).
fof(f622,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| spl0_1
| ~ spl0_2
| ~ spl0_11
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f610,f569]) ).
fof(f461,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f452,f117,f458,f454]) ).
fof(f458,plain,
( spl0_25
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f452,plain,
( identity != sk_c11
| identity != inverse(inverse(sk_c9))
| ~ spl0_7 ),
inference(inner_rewriting,[],[f450]) ).
fof(f450,plain,
( identity != sk_c11
| sk_c11 != inverse(inverse(sk_c9))
| ~ spl0_7 ),
inference(superposition,[],[f118,f2]) ).
fof(f424,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f422,f67]) ).
fof(f422,plain,
( sk_c11 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f420]) ).
fof(f420,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f112,f409]) ).
fof(f409,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_5
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f5,f23,f50,f4,f366,f401,f402,f21,f405,f19,f406,f18,f407,f15,f408,f13]) ).
fof(f408,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| ~ spl0_5
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f5,f23,f50,f4,f366,f401,f402,f21,f405,f19,f406,f18,f407,f15]) ).
fof(f407,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_5
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f5,f23,f50,f4,f366,f401,f402,f21,f405,f19,f406,f18]) ).
fof(f406,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_5
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f5,f23,f50,f4,f366,f401,f402,f21,f405,f19]) ).
fof(f405,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_5
| ~ spl0_22 ),
inference(global_subsumption,[],[f41,f32,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f5,f23,f50,f4,f366,f401,f402,f21]) ).
fof(f402,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f112,f366]) ).
fof(f269,plain,
( identity != sk_c10
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_5 ),
inference(superposition,[],[f112,f2]) ).
fof(f268,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_5 ),
inference(superposition,[],[f112,f1]) ).
fof(f270,plain,
( ! [X0,X1] :
( sk_c10 != multiply(X0,multiply(X1,sk_c11))
| sk_c11 != inverse(multiply(X0,X1)) )
| ~ spl0_5 ),
inference(superposition,[],[f112,f3]) ).
fof(f112,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_5
<=> ! [X6] :
( sk_c11 != inverse(X6)
| sk_c10 != multiply(X6,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f404,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f402,f63]) ).
fof(f394,plain,
( spl0_2
| ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl0_2
| ~ spl0_5
| spl0_22 ),
inference(global_subsumption,[],[f66,f41,f32,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f365,f377,f380,f381,f50,f23,f390]) ).
fof(f381,plain,
( sk_c11 != inverse(sk_c4)
| ~ spl0_5
| spl0_22 ),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f378,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c4)
| ~ spl0_5
| spl0_22 ),
inference(superposition,[],[f112,f377]) ).
fof(f392,plain,
( ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl0_5
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f365,f377,f380,f381,f50,f23,f390]) ).
fof(f389,plain,
( ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl0_5
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f365,f377,f380,f381,f50,f23]) ).
fof(f387,plain,
( ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl0_5
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f23,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f365,f377,f380,f381,f50]) ).
fof(f385,plain,
( ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl0_5
| spl0_22 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f39,f37,f36,f33,f31,f38,f35,f34,f112,f270,f16,f17,f20,f13,f15,f18,f19,f21,f56,f53,f52,f48,f46,f45,f42,f40,f29,f26,f25,f7,f47,f43,f268,f44,f269,f8,f11,f365,f377,f380,f381]) ).
fof(f383,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_22 ),
inference(subsumption_resolution,[],[f381,f67]) ).
fof(f371,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f11,f368,f364]) ).
fof(f357,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_19 ),
inference(subsumption_resolution,[],[f355,f63]) ).
fof(f355,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_5
| spl0_19 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_5
| spl0_19 ),
inference(superposition,[],[f112,f351]) ).
fof(f350,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f269,f111,f347,f343]) ).
fof(f336,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f333,f329]) ).
fof(f323,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f268,f111,f320,f316]) ).
fof(f316,plain,
( spl0_16
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f320,plain,
( spl0_17
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f300,plain,
( spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f62,f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20,f17,f290]) ).
fof(f271,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_5
| spl0_11 ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_5
| spl0_11 ),
inference(superposition,[],[f112,f240]) ).
fof(f298,plain,
( spl0_1
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| spl0_1
| spl0_11 ),
inference(subsumption_resolution,[],[f70,f217]) ).
fof(f296,plain,
( spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f72,f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20,f17,f290]) ).
fof(f294,plain,
( spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f74,f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20,f17,f290]) ).
fof(f292,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20,f17,f290]) ).
fof(f289,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20,f17]) ).
fof(f287,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13,f20]) ).
fof(f285,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15,f13]) ).
fof(f283,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f13,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18,f15]) ).
fof(f281,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f15,f13,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19,f18]) ).
fof(f279,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f18,f15,f13,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21,f19]) ).
fof(f277,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f19,f18,f15,f13,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271,f21]) ).
fof(f275,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(global_subsumption,[],[f41,f32,f23,f50,f5,f1,f2,f14,f3,f93,f59,f57,f55,f54,f51,f49,f30,f28,f27,f24,f22,f12,f10,f9,f6,f4,f56,f53,f52,f48,f46,f45,f42,f40,f39,f37,f36,f33,f31,f29,f26,f25,f21,f19,f18,f15,f13,f11,f8,f7,f47,f44,f43,f38,f35,f20,f17,f16,f34,f217,f225,f226,f228,f240,f242,f254,f257,f262,f264,f263,f265,f112,f268,f269,f270,f271]) ).
fof(f273,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(subsumption_resolution,[],[f271,f63]) ).
fof(f260,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f258,f214]) ).
fof(f258,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl0_4
| spl0_11 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl0_4
| spl0_11 ),
inference(superposition,[],[f109,f254]) ).
fof(f109,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl0_4
<=> ! [X7] :
( sk_c10 != inverse(X7)
| sk_c9 != multiply(X7,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f253,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_1
| ~ spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f243,f216,f108,f61,f250,f246]) ).
fof(f246,plain,
( spl0_14
<=> sk_c10 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f250,plain,
( spl0_15
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f243,plain,
( sk_c11 != sk_c9
| sk_c10 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_4
| spl0_11 ),
inference(superposition,[],[f109,f241]) ).
fof(f241,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_1
| spl0_11 ),
inference(superposition,[],[f199,f240]) ).
fof(f239,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f186,f108,f236,f232]) ).
fof(f186,plain,
( identity != sk_c9
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_4 ),
inference(superposition,[],[f109,f2]) ).
fof(f219,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f34,f216,f212]) ).
fof(f208,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f185,f108,f205,f201]) ).
fof(f185,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f109,f1]) ).
fof(f194,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f188,f70]) ).
fof(f188,plain,
( sk_c10 != inverse(sk_c5)
| spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f182]) ).
fof(f182,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c5)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f109,f77]) ).
fof(f165,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f164,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f163,f79]) ).
fof(f163,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f162,f74]) ).
fof(f162,plain,
( sk_c10 != multiply(sk_c7,inverse(sk_c7))
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f154,f80]) ).
fof(f154,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| sk_c10 != multiply(sk_c7,inverse(sk_c7))
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f106,f74]) ).
fof(f119,plain,
( spl0_3
| spl0_4
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f59,f111,f117,f114,f111,f108,f108,f105]) ).
fof(f68,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f65,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP246-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:38:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (796)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (805)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)
% 0.13/0.37 % (802)WARNING: value z3 for option sas not known
% 0.13/0.37 % (799)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (800)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (803)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (802)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)
% 0.13/0.37 % (804)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)
% 0.13/0.37 % (806)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.47 TRYING [6]
% 0.20/0.50 % (802)First to succeed.
% 0.20/0.50 % (806)Also succeeded, but the first one will report.
% 0.20/0.51 % (802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-796"
% 0.20/0.51 % (802)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (802)------------------------------
% 0.20/0.52 % (802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.52 % (802)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (802)Memory used [KB]: 1981
% 0.20/0.52 % (802)Time elapsed: 0.140 s
% 0.20/0.52 % (802)Instructions burned: 308 (million)
% 0.20/0.52 % (796)Success in time 0.162 s
%------------------------------------------------------------------------------