TSTP Solution File: GEO274+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n029.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 : Wed Aug 30 23:32:25 EDT 2023
% Result : Theorem 1.77s 0.62s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 458
% Syntax : Number of formulae : 1887 ( 51 unt; 0 def)
% Number of atoms : 16553 (3460 equ)
% Maximal formula atoms : 57 ( 8 avg)
% Number of connectives : 25604 (10938 ~;13153 |;1013 &)
% ( 418 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 416 ( 414 usr; 397 prp; 0-17 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-3 aty)
% Number of variables : 6271 (;5977 !; 294 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5031,plain,
$false,
inference(avatar_sat_refutation,[],[f1408,f1412,f1441,f1445,f1449,f1450,f1465,f1494,f1506,f1518,f1530,f1542,f1576,f1589,f1594,f1599,f1603,f1607,f1611,f1615,f1619,f1623,f1627,f1631,f1636,f1640,f1644,f1648,f1652,f1664,f1668,f1672,f1706,f1710,f1732,f1741,f1746,f1751,f1755,f1759,f1763,f1767,f1771,f1775,f1776,f1777,f1779,f1780,f1784,f1788,f1792,f1804,f1808,f1812,f1820,f1975,f1999,f2000,f2001,f2002,f2091,f2096,f2101,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2138,f2142,f2146,f2150,f2154,f2162,f2166,f2170,f2176,f2190,f2249,f2254,f2259,f2263,f2267,f2271,f2275,f2279,f2283,f2284,f2285,f2287,f2288,f2292,f2296,f2300,f2308,f2312,f2316,f2387,f2392,f2397,f2401,f2405,f2409,f2413,f2417,f2421,f2425,f2429,f2434,f2438,f2442,f2446,f2450,f2458,f2462,f2466,f2469,f2498,f2503,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2533,f2534,f2536,f2537,f2541,f2545,f2549,f2553,f2557,f2558,f2636,f2641,f2646,f2650,f2654,f2658,f2662,f2666,f2670,f2674,f2678,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f2711,f2712,f2739,f2744,f2749,f2753,f2757,f2761,f2765,f2769,f2773,f2774,f2775,f2777,f2778,f2782,f2786,f2790,f2794,f2798,f2850,f2859,f2864,f2869,f2873,f2877,f2881,f2885,f2889,f2893,f2897,f2901,f2906,f2910,f2914,f2918,f2922,f2926,f2930,f2931,f2965,f2969,f2973,f2977,f2978,f3026,f3047,f3051,f3055,f3059,f3080,f3102,f3106,f3110,f3114,f3140,f3144,f3148,f3152,f3156,f3160,f3164,f3168,f3223,f3249,f3253,f3257,f3261,f3322,f3326,f3330,f3334,f3336,f3340,f3362,f3367,f3368,f3369,f3370,f3386,f3387,f3392,f3410,f3415,f3416,f3424,f3428,f3429,f3434,f3435,f3436,f3475,f3486,f3525,f3540,f3551,f3552,f3580,f3584,f3588,f3592,f3623,f3642,f3652,f3653,f3677,f3691,f3706,f3726,f3741,f3779,f3784,f3789,f3793,f3797,f3801,f3805,f3809,f3813,f3817,f3821,f3826,f3830,f3834,f3838,f3842,f3846,f3850,f3879,f3884,f3889,f3893,f3897,f3901,f3905,f3909,f3913,f3917,f3921,f3926,f3930,f3934,f3938,f3942,f3946,f3950,f3979,f3984,f3989,f3993,f3997,f4001,f4005,f4009,f4013,f4014,f4015,f4017,f4018,f4022,f4026,f4030,f4034,f4038,f4066,f4071,f4076,f4080,f4084,f4088,f4092,f4096,f4100,f4104,f4108,f4113,f4117,f4121,f4125,f4129,f4133,f4137,f4164,f4169,f4174,f4178,f4182,f4186,f4190,f4194,f4198,f4199,f4200,f4202,f4203,f4207,f4211,f4215,f4219,f4223,f4285,f4290,f4295,f4299,f4303,f4307,f4311,f4315,f4319,f4323,f4327,f4332,f4336,f4340,f4344,f4348,f4352,f4356,f4385,f4390,f4395,f4399,f4403,f4407,f4411,f4415,f4419,f4423,f4427,f4432,f4436,f4440,f4444,f4448,f4452,f4456,f4485,f4490,f4495,f4496,f4497,f4505,f4509,f4513,f4517,f4521,f4523,f4525,f4527,f4528,f4533,f4534,f4565,f4582,f4583,f4588,f4597,f4598,f4599,f4600,f4602,f4603,f4606,f4620,f4623,f4805,f4806,f4807,f4832,f4834,f4839,f4843,f4844,f4845,f4922,f4940,f4942,f4944,f4985]) ).
fof(f4985,plain,
~ spl84_391,
inference(avatar_split_clause,[],[f946,f4499]) ).
fof(f4499,plain,
( spl84_391
<=> vd1086 = sK83 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_391])]) ).
fof(f946,plain,
vd1086 != sK83,
inference(definition_unfolding,[],[f672,f941,f673]) ).
fof(f673,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','pred(225, 4)') ).
fof(f941,plain,
vd1080 = sK83,
inference(cnf_transformation,[],[f661]) ).
fof(f661,plain,
( rpoint(sK83)
& vd1080 = sK83 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f222,f660]) ).
fof(f660,plain,
( ? [X0] :
( rpoint(X0)
& vd1080 = X0 )
=> ( rpoint(sK83)
& vd1080 = sK83 ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( rpoint(X0)
& vd1080 = X0 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X1] :
( rpoint(X1)
& vd1080 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qe(s1(plural(224)))') ).
fof(f672,plain,
vd1080 != vd1085,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
vd1080 != vd1085,
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','holds(conjunct1(225), 1087, 0)') ).
fof(f4944,plain,
spl84_68,
inference(avatar_split_clause,[],[f668,f2088]) ).
fof(f2088,plain,
( spl84_68
<=> rpoint(vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_68])]) ).
fof(f668,plain,
rpoint(vd1086),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','pred(225, 1)') ).
fof(f4942,plain,
( spl84_240
| ~ spl84_235
| ~ spl84_238 ),
inference(avatar_split_clause,[],[f4941,f3431,f3418,f3483]) ).
fof(f3483,plain,
( spl84_240
<=> vd684 = sK49(vd1086,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_240])]) ).
fof(f3418,plain,
( spl84_235
<=> vd1089 = vd1086 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_235])]) ).
fof(f3431,plain,
( spl84_238
<=> vd684 = sK49(vd1089,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_238])]) ).
fof(f4941,plain,
( vd684 = sK49(vd1086,sK83)
| ~ spl84_235
| ~ spl84_238 ),
inference(backward_demodulation,[],[f3432,f3420]) ).
fof(f3420,plain,
( vd1089 = vd1086
| ~ spl84_235 ),
inference(avatar_component_clause,[],[f3418]) ).
fof(f3432,plain,
( vd684 = sK49(vd1089,sK83)
| ~ spl84_238 ),
inference(avatar_component_clause,[],[f3431]) ).
fof(f4940,plain,
( ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_contradiction_clause,[],[f4939]) ).
fof(f4939,plain,
( $false
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(trivial_inequality_removal,[],[f4938]) ).
fof(f4938,plain,
( vd14 != vd14
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(superposition,[],[f4658,f4722]) ).
fof(f4722,plain,
( vd1086 = vd14
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4501,f4629]) ).
fof(f4629,plain,
( vd14 = sK83
| ~ spl84_224
| ~ spl84_396 ),
inference(backward_demodulation,[],[f3318,f4532]) ).
fof(f4532,plain,
( vd1089 = vd14
| ~ spl84_396 ),
inference(avatar_component_clause,[],[f4530]) ).
fof(f4530,plain,
( spl84_396
<=> vd1089 = vd14 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_396])]) ).
fof(f3318,plain,
( vd1089 = sK83
| ~ spl84_224 ),
inference(avatar_component_clause,[],[f3316]) ).
fof(f3316,plain,
( spl84_224
<=> vd1089 = sK83 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_224])]) ).
fof(f4501,plain,
( vd1086 = sK83
| ~ spl84_391 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f4658,plain,
( vd1086 != vd14
| ~ spl84_224
| ~ spl84_396 ),
inference(backward_demodulation,[],[f946,f4629]) ).
fof(f4922,plain,
( ~ spl84_224
| ~ spl84_229
| ~ spl84_230
| spl84_238
| ~ spl84_396 ),
inference(avatar_contradiction_clause,[],[f4921]) ).
fof(f4921,plain,
( $false
| ~ spl84_224
| ~ spl84_229
| ~ spl84_230
| spl84_238
| ~ spl84_396 ),
inference(trivial_inequality_removal,[],[f4920]) ).
fof(f4920,plain,
( vd684 != vd684
| ~ spl84_224
| ~ spl84_229
| ~ spl84_230
| spl84_238
| ~ spl84_396 ),
inference(superposition,[],[f4656,f4652]) ).
fof(f4652,plain,
( vd684 = sK49(vd14,vd14)
| ~ spl84_229
| ~ spl84_230
| ~ spl84_396 ),
inference(backward_demodulation,[],[f4604,f4532]) ).
fof(f4604,plain,
( vd684 = sK49(vd1089,vd1089)
| ~ spl84_229
| ~ spl84_230 ),
inference(backward_demodulation,[],[f3361,f3366]) ).
fof(f3366,plain,
( vd684 = vf(vd1086,vd1089)
| ~ spl84_230 ),
inference(avatar_component_clause,[],[f3364]) ).
fof(f3364,plain,
( spl84_230
<=> vd684 = vf(vd1086,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_230])]) ).
fof(f3361,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1089)
| ~ spl84_229 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f3359,plain,
( spl84_229
<=> vf(vd1086,vd1089) = sK49(vd1089,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_229])]) ).
fof(f4656,plain,
( vd684 != sK49(vd14,vd14)
| ~ spl84_224
| spl84_238
| ~ spl84_396 ),
inference(backward_demodulation,[],[f4624,f4532]) ).
fof(f4624,plain,
( vd684 != sK49(vd1089,vd1089)
| ~ spl84_224
| spl84_238 ),
inference(forward_demodulation,[],[f3433,f3318]) ).
fof(f3433,plain,
( vd684 != sK49(vd1089,sK83)
| spl84_238 ),
inference(avatar_component_clause,[],[f3431]) ).
fof(f4845,plain,
( ~ spl84_244
| spl84_197
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4769,f4530,f4499,f3316,f3023,f3537]) ).
fof(f3537,plain,
( spl84_244
<=> ron(sK56(vd1092,vd14),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_244])]) ).
fof(f3023,plain,
( spl84_197
<=> ron(sK56(vd1092,vd1086),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_197])]) ).
fof(f4769,plain,
( ~ ron(sK56(vd1092,vd14),vd1092)
| spl84_197
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f3025,f4722]) ).
fof(f3025,plain,
( ~ ron(sK56(vd1092,vd1086),vd1092)
| spl84_197 ),
inference(avatar_component_clause,[],[f3023]) ).
fof(f4844,plain,
( spl84_243
| ~ spl84_196
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4768,f4530,f4499,f3316,f3019,f3533]) ).
fof(f3533,plain,
( spl84_243
<=> ron(sK56(vd1092,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_243])]) ).
fof(f3019,plain,
( spl84_196
<=> ron(sK56(vd1092,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_196])]) ).
fof(f4768,plain,
( ron(sK56(vd1092,vd14),sK36)
| ~ spl84_196
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f3020,f4722]) ).
fof(f3020,plain,
( ron(sK56(vd1092,vd1086),sK36)
| ~ spl84_196 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f4843,plain,
( spl84_223
| ~ spl84_194
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4842,f4530,f4499,f3316,f2975,f3259]) ).
fof(f3259,plain,
( spl84_223
<=> ! [X17,X14,X18,X16,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp))
| rS(X14,vd14,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ ron(vd14,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd14,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_223])]) ).
fof(f2975,plain,
( spl84_194
<=> ! [X17,X14,X18,X16,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp))
| rS(X14,vd1086,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ ron(vd1086,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_194])]) ).
fof(f4842,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(vd14,X18)
| rS(X14,vd14,vd1092)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp))
| ~ ron(vd14,X15)
| ~ ron(X14,X15)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) )
| ~ spl84_194
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4841,f4722]) ).
fof(f4841,plain,
( ! [X18,X16,X14,X17,X15] :
( rS(X14,vd14,vd1092)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp))
| ~ ron(vd14,X15)
| ~ ron(X14,X15)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) )
| ~ spl84_194
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4840,f4722]) ).
fof(f4840,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp))
| ~ ron(vd14,X15)
| ~ ron(X14,X15)
| rS(X14,vd1086,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) )
| ~ spl84_194
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4765,f4722]) ).
fof(f4765,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(vd14,X15)
| ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp))
| rS(X14,vd1086,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) )
| ~ spl84_194
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2976,f4722]) ).
fof(f2976,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp))
| rS(X14,vd1086,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ ron(vd1086,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) )
| ~ spl84_194 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f4839,plain,
( spl84_222
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4838,f4530,f4499,f3316,f2971,f3255]) ).
fof(f3255,plain,
( spl84_222
<=> ! [X10,X11,X13,X12,X9] :
( ~ rline(X9)
| rS(vd14,vd14,X9)
| ~ rS(X13,vd14,X10)
| ~ rS(X12,vd14,vd1092)
| ~ ron(vd14,X10)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd14,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_222])]) ).
fof(f2971,plain,
( spl84_193
<=> ! [X10,X11,X13,X12,X9] :
( ~ rline(X9)
| rS(vd1086,vd1086,X9)
| ~ rS(X13,vd1086,X10)
| ~ rS(X12,vd1086,vd1092)
| ~ ron(vd1086,X10)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_193])]) ).
fof(f4838,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rS(vd14,X13,X9)
| ~ rS(X12,vd14,vd1092)
| ~ rS(X13,vd14,X10)
| rS(vd14,vd14,X9)
| ~ ron(vd14,X10)
| ~ rline(X9)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4837,f4722]) ).
fof(f4837,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rS(X12,vd14,vd1092)
| ~ rS(X13,vd14,X10)
| rS(vd14,vd14,X9)
| ~ ron(vd14,X10)
| ~ rline(X9)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4836,f4722]) ).
fof(f4836,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rS(X13,vd14,X10)
| rS(vd14,vd14,X9)
| ~ ron(vd14,X10)
| ~ rline(X9)
| ~ rS(X12,vd1086,vd1092)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4835,f4722]) ).
fof(f4835,plain,
( ! [X10,X11,X9,X12,X13] :
( rS(vd14,vd14,X9)
| ~ ron(vd14,X10)
| ~ rline(X9)
| ~ rS(X13,vd1086,X10)
| ~ rS(X12,vd1086,vd1092)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4764,f4722]) ).
fof(f4764,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ ron(vd14,X10)
| ~ rline(X9)
| rS(vd1086,vd1086,X9)
| ~ rS(X13,vd1086,X10)
| ~ rS(X12,vd1086,vd1092)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2972,f4722]) ).
fof(f2972,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| rS(vd1086,vd1086,X9)
| ~ rS(X13,vd1086,X10)
| ~ rS(X12,vd1086,vd1092)
| ~ ron(vd1086,X10)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) )
| ~ spl84_193 ),
inference(avatar_component_clause,[],[f2971]) ).
fof(f4834,plain,
( spl84_221
| ~ spl84_192
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4833,f4530,f4499,f3316,f2967,f3251]) ).
fof(f3251,plain,
( spl84_221
<=> ! [X3] :
( ~ rpoint(X3)
| rS(vd14,X3,vd1092)
| ~ rR(X3,vd14,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_221])]) ).
fof(f2967,plain,
( spl84_192
<=> ! [X3] :
( ~ rpoint(X3)
| rS(vd1086,X3,vd1092)
| ~ rR(X3,vd1086,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_192])]) ).
fof(f4833,plain,
( ! [X3] :
( ~ rR(X3,vd14,vd14)
| rS(vd14,X3,vd1092)
| ~ rpoint(X3) )
| ~ spl84_192
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(forward_demodulation,[],[f4763,f4722]) ).
fof(f4763,plain,
( ! [X3] :
( rS(vd14,X3,vd1092)
| ~ rpoint(X3)
| ~ rR(X3,vd1086,vd1086) )
| ~ spl84_192
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2968,f4722]) ).
fof(f2968,plain,
( ! [X3] :
( ~ rpoint(X3)
| rS(vd1086,X3,vd1092)
| ~ rR(X3,vd1086,vd1086) )
| ~ spl84_192 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f4832,plain,
( spl84_220
| ~ spl84_191
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4762,f4530,f4499,f3316,f2963,f3247]) ).
fof(f3247,plain,
( spl84_220
<=> ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,vd1092)
| ~ rR(X2,vd14,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_220])]) ).
fof(f2963,plain,
( spl84_191
<=> ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,vd1092)
| ~ rR(X2,vd1086,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_191])]) ).
fof(f4762,plain,
( ! [X2] :
( ~ rR(X2,vd14,vd14)
| ~ rpoint(X2)
| ~ ron(X2,vd1092) )
| ~ spl84_191
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2964,f4722]) ).
fof(f2964,plain,
( ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,vd1092)
| ~ rR(X2,vd1086,vd1086) )
| ~ spl84_191 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f4807,plain,
( spl84_127
| ~ spl84_70
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4730,f4530,f4499,f3316,f2098,f2505]) ).
fof(f2505,plain,
( spl84_127
<=> rpoint(sK56(vd1092,vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_127])]) ).
fof(f2098,plain,
( spl84_70
<=> rpoint(sK56(vd1092,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_70])]) ).
fof(f4730,plain,
( rpoint(sK56(vd1092,vd14))
| ~ spl84_70
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2100,f4722]) ).
fof(f2100,plain,
( rpoint(sK56(vd1092,vd1086))
| ~ spl84_70 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f4806,plain,
( spl84_125
| ~ spl84_67
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4728,f4530,f4499,f3316,f2084,f2495]) ).
fof(f2495,plain,
( spl84_125
<=> rS(vd14,vd14,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_125])]) ).
fof(f2084,plain,
( spl84_67
<=> rS(vd1086,vd1086,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_67])]) ).
fof(f4728,plain,
( rS(vd14,vd14,vd1092)
| ~ spl84_67
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f2086,f4722]) ).
fof(f2086,plain,
( rS(vd1086,vd1086,vd1092)
| ~ spl84_67 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f4805,plain,
( ~ spl84_16
| spl84_13
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(avatar_split_clause,[],[f4727,f4530,f4499,f3316,f1503,f1515]) ).
fof(f1515,plain,
( spl84_16
<=> ron(vd14,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_16])]) ).
fof(f1503,plain,
( spl84_13
<=> ron(vd1086,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_13])]) ).
fof(f4727,plain,
( ~ ron(vd14,vd1092)
| spl84_13
| ~ spl84_224
| ~ spl84_391
| ~ spl84_396 ),
inference(backward_demodulation,[],[f1505,f4722]) ).
fof(f1505,plain,
( ~ ron(vd1086,vd1092)
| spl84_13 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f4623,plain,
( spl84_260
| ~ spl84_224
| ~ spl84_229
| ~ spl84_230
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4622,f3649,f3548,f3407,f3364,f3359,f3316,f3688]) ).
fof(f3688,plain,
( spl84_260
<=> vd684 = sK49(vd1086,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_260])]) ).
fof(f3407,plain,
( spl84_233
<=> sK49(vd1089,sK83) = sK49(vd1089,vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_233])]) ).
fof(f3548,plain,
( spl84_245
<=> sK49(vd1089,vd1086) = sK49(vd1086,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_245])]) ).
fof(f3649,plain,
( spl84_256
<=> sK49(vd1086,sK83) = sK49(vd1086,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_256])]) ).
fof(f4622,plain,
( vd684 = sK49(vd1086,vd1089)
| ~ spl84_224
| ~ spl84_229
| ~ spl84_230
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f4621,f4604]) ).
fof(f4621,plain,
( sK49(vd1089,vd1089) = sK49(vd1086,vd1089)
| ~ spl84_224
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3655,f3318]) ).
fof(f3655,plain,
( sK49(vd1089,sK83) = sK49(vd1086,vd1089)
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3553,f3651]) ).
fof(f3651,plain,
( sK49(vd1086,sK83) = sK49(vd1086,vd1089)
| ~ spl84_256 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f3553,plain,
( sK49(vd1089,sK83) = sK49(vd1086,sK83)
| ~ spl84_233
| ~ spl84_245 ),
inference(backward_demodulation,[],[f3409,f3550]) ).
fof(f3550,plain,
( sK49(vd1089,vd1086) = sK49(vd1086,sK83)
| ~ spl84_245 ),
inference(avatar_component_clause,[],[f3548]) ).
fof(f3409,plain,
( sK49(vd1089,sK83) = sK49(vd1089,vd1086)
| ~ spl84_233 ),
inference(avatar_component_clause,[],[f3407]) ).
fof(f4620,plain,
( spl84_260
| ~ spl84_224
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4619,f3649,f3548,f3407,f3383,f3364,f3316,f3688]) ).
fof(f3383,plain,
( spl84_231
<=> vf(vd1086,sK83) = sK49(vd1089,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_231])]) ).
fof(f4619,plain,
( vd684 = sK49(vd1086,vd1089)
| ~ spl84_224
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f4618,f3366]) ).
fof(f4618,plain,
( vf(vd1086,vd1089) = sK49(vd1086,vd1089)
| ~ spl84_224
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3656,f3318]) ).
fof(f3656,plain,
( vf(vd1086,sK83) = sK49(vd1086,vd1089)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3554,f3651]) ).
fof(f3554,plain,
( vf(vd1086,sK83) = sK49(vd1086,sK83)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245 ),
inference(backward_demodulation,[],[f3437,f3550]) ).
fof(f3437,plain,
( vf(vd1086,sK83) = sK49(vd1089,vd1086)
| ~ spl84_231
| ~ spl84_233 ),
inference(backward_demodulation,[],[f3385,f3409]) ).
fof(f3385,plain,
( vf(vd1086,sK83) = sK49(vd1089,sK83)
| ~ spl84_231 ),
inference(avatar_component_clause,[],[f3383]) ).
fof(f4606,plain,
( spl84_260
| ~ spl84_230
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4605,f3649,f3548,f3412,f3407,f3364,f3688]) ).
fof(f3412,plain,
( spl84_234
<=> vf(vd1086,vd1089) = sK49(vd1089,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_234])]) ).
fof(f4605,plain,
( vd684 = sK49(vd1086,vd1089)
| ~ spl84_230
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3661,f3366]) ).
fof(f3661,plain,
( vf(vd1086,vd1089) = sK49(vd1086,vd1089)
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3559,f3651]) ).
fof(f3559,plain,
( vf(vd1086,vd1089) = sK49(vd1086,sK83)
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245 ),
inference(backward_demodulation,[],[f3442,f3550]) ).
fof(f3442,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1086)
| ~ spl84_233
| ~ spl84_234 ),
inference(backward_demodulation,[],[f3414,f3409]) ).
fof(f3414,plain,
( vf(vd1086,vd1089) = sK49(vd1089,sK83)
| ~ spl84_234 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f4603,plain,
( ~ spl84_260
| ~ spl84_224
| spl84_240 ),
inference(avatar_split_clause,[],[f4596,f3483,f3316,f3688]) ).
fof(f4596,plain,
( vd684 != sK49(vd1086,vd1089)
| ~ spl84_224
| spl84_240 ),
inference(backward_demodulation,[],[f3485,f3318]) ).
fof(f3485,plain,
( vd684 != sK49(vd1086,sK83)
| spl84_240 ),
inference(avatar_component_clause,[],[f3483]) ).
fof(f4602,plain,
( ~ spl84_230
| ~ spl84_224
| spl84_232 ),
inference(avatar_split_clause,[],[f4595,f3389,f3316,f3364]) ).
fof(f3389,plain,
( spl84_232
<=> vd684 = vf(vd1086,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_232])]) ).
fof(f4595,plain,
( vd684 != vf(vd1086,vd1089)
| ~ spl84_224
| spl84_232 ),
inference(backward_demodulation,[],[f3391,f3318]) ).
fof(f3391,plain,
( vd684 != vf(vd1086,sK83)
| spl84_232 ),
inference(avatar_component_clause,[],[f3389]) ).
fof(f4600,plain,
( spl84_25
| ~ spl84_173
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f4592,f3316,f2856,f1586]) ).
fof(f1586,plain,
( spl84_25
<=> rpoint(vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_25])]) ).
fof(f2856,plain,
( spl84_173
<=> rpoint(sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_173])]) ).
fof(f4592,plain,
( rpoint(vd1089)
| ~ spl84_173
| ~ spl84_224 ),
inference(backward_demodulation,[],[f2857,f3318]) ).
fof(f2857,plain,
( rpoint(sK83)
| ~ spl84_173 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f4599,plain,
( spl84_10
| ~ spl84_22
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f4591,f3316,f1539,f1491]) ).
fof(f1491,plain,
( spl84_10
<=> ron(vd1089,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_10])]) ).
fof(f1539,plain,
( spl84_22
<=> ron(sK83,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_22])]) ).
fof(f4591,plain,
( ron(vd1089,vd1092)
| ~ spl84_22
| ~ spl84_224 ),
inference(backward_demodulation,[],[f1540,f3318]) ).
fof(f1540,plain,
( ron(sK83,vd1092)
| ~ spl84_22 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f4598,plain,
( spl84_9
| ~ spl84_21
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f4590,f3316,f1535,f1487]) ).
fof(f1487,plain,
( spl84_9
<=> ron(vd1089,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_9])]) ).
fof(f1535,plain,
( spl84_21
<=> ron(sK83,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_21])]) ).
fof(f4590,plain,
( ron(vd1089,sK36)
| ~ spl84_21
| ~ spl84_224 ),
inference(backward_demodulation,[],[f1536,f3318]) ).
fof(f1536,plain,
( ron(sK83,sK36)
| ~ spl84_21 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f4597,plain,
( spl84_8
| ~ spl84_20
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f4589,f3316,f1532,f1484]) ).
fof(f1484,plain,
( spl84_8
<=> ! [X0] :
( ~ ron(X0,vd1092)
| vd1089 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_8])]) ).
fof(f1532,plain,
( spl84_20
<=> ! [X37] :
( ~ ron(X37,vd1092)
| sK83 = X37
| ~ rpoint(X37)
| ~ ron(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_20])]) ).
fof(f4589,plain,
( ! [X37] :
( vd1089 = X37
| ~ ron(X37,vd1092)
| ~ rpoint(X37)
| ~ ron(X37,sK36) )
| ~ spl84_20
| ~ spl84_224 ),
inference(backward_demodulation,[],[f1533,f3318]) ).
fof(f1533,plain,
( ! [X37] :
( ~ ron(X37,vd1092)
| sK83 = X37
| ~ rpoint(X37)
| ~ ron(X37,sK36) )
| ~ spl84_20 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f4588,plain,
( spl84_391
| ~ spl84_224
| ~ spl84_235 ),
inference(avatar_split_clause,[],[f4587,f3418,f3316,f4499]) ).
fof(f4587,plain,
( vd1086 = sK83
| ~ spl84_224
| ~ spl84_235 ),
inference(forward_demodulation,[],[f3318,f3420]) ).
fof(f4583,plain,
( spl84_232
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4576,f3649,f3548,f3418,f3407,f3383,f3364,f3389]) ).
fof(f4576,plain,
( vd684 = vf(vd1086,sK83)
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f4543,f4574]) ).
fof(f4574,plain,
( vd684 = sK49(vd1086,vd1086)
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f4546,f4573]) ).
fof(f4573,plain,
( vd684 = vf(vd1086,vd1086)
| ~ spl84_230
| ~ spl84_235 ),
inference(forward_demodulation,[],[f3366,f3420]) ).
fof(f4546,plain,
( sK49(vd1086,vd1086) = vf(vd1086,vd1086)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3659,f3420]) ).
fof(f3659,plain,
( vf(vd1089,vd1086) = sK49(vd1086,vd1089)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3557,f3651]) ).
fof(f3557,plain,
( vf(vd1089,vd1086) = sK49(vd1086,sK83)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245 ),
inference(backward_demodulation,[],[f3440,f3550]) ).
fof(f3440,plain,
( vf(vd1089,vd1086) = sK49(vd1089,vd1086)
| ~ spl84_231
| ~ spl84_233 ),
inference(backward_demodulation,[],[f3395,f3409]) ).
fof(f3395,plain,
( vf(vd1089,vd1086) = sK49(vd1089,sK83)
| ~ spl84_231 ),
inference(backward_demodulation,[],[f3371,f3385]) ).
fof(f3371,plain,
vf(vd1086,sK83) = vf(vd1089,vd1086),
inference(backward_demodulation,[],[f948,f947]) ).
fof(f947,plain,
vf(vd1089,sK83) = vf(vd1086,sK83),
inference(definition_unfolding,[],[f675,f941,f673,f941]) ).
fof(f675,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','holds(226, 1090, 1)') ).
fof(f948,plain,
vf(vd1089,sK83) = vf(vd1089,vd1086),
inference(definition_unfolding,[],[f676,f941,f673]) ).
fof(f676,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','holds(226, 1090, 0)') ).
fof(f4543,plain,
( vf(vd1086,sK83) = sK49(vd1086,vd1086)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3656,f3420]) ).
fof(f4582,plain,
( spl84_240
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4575,f3649,f3548,f3418,f3407,f3383,f3364,f3483]) ).
fof(f4575,plain,
( vd684 = sK49(vd1086,sK83)
| ~ spl84_230
| ~ spl84_231
| ~ spl84_233
| ~ spl84_235
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f4541,f4574]) ).
fof(f4541,plain,
( sK49(vd1086,sK83) = sK49(vd1086,vd1086)
| ~ spl84_235
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3651,f3420]) ).
fof(f4565,plain,
( spl84_12
| ~ spl84_9
| ~ spl84_235 ),
inference(avatar_split_clause,[],[f4538,f3418,f1487,f1499]) ).
fof(f1499,plain,
( spl84_12
<=> ron(vd1086,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_12])]) ).
fof(f4538,plain,
( ron(vd1086,sK36)
| ~ spl84_9
| ~ spl84_235 ),
inference(backward_demodulation,[],[f1488,f3420]) ).
fof(f1488,plain,
( ron(vd1089,sK36)
| ~ spl84_9 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f4534,plain,
( ~ spl84_15
| ~ spl84_24
| ~ spl84_105
| ~ spl84_104 ),
inference(avatar_split_clause,[],[f3518,f2380,f2384,f1582,f1511]) ).
fof(f1511,plain,
( spl84_15
<=> ron(vd14,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_15])]) ).
fof(f1582,plain,
( spl84_24
<=> rline(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_24])]) ).
fof(f2384,plain,
( spl84_105
<=> rpoint(vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_105])]) ).
fof(f2380,plain,
( spl84_104
<=> rS(vd14,vd14,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_104])]) ).
fof(f3518,plain,
( ~ rpoint(vd14)
| ~ rline(sK36)
| ~ ron(vd14,sK36)
| ~ spl84_104 ),
inference(duplicate_literal_removal,[],[f3504]) ).
fof(f3504,plain,
( ~ rpoint(vd14)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ ron(vd14,sK36)
| ~ spl84_104 ),
inference(resolution,[],[f2382,f1102]) ).
fof(f1102,plain,
! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ ron(X4,X3) ),
inference(equality_resolution,[],[f1101]) ).
fof(f1101,plain,
! [X2,X3,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1100]) ).
fof(f1100,plain,
! [X2,X3,X1,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X1,X2) ),
inference(equality_resolution,[],[f805]) ).
fof(f805,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(ennf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X294,X295,X296,X297] :
( ( ? [X299] :
( rpoint(X299)
& X294 = X299 )
& ? [X298] :
( rpoint(X298)
& X295 = X298 )
& rline(X297)
& X296 = X297
& rS(X294,X295,X296) )
=> ~ ron(X294,X296) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f2382,plain,
( rS(vd14,vd14,sK36)
| ~ spl84_104 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f4533,plain,
( ~ spl84_15
| ~ spl84_16
| spl84_396
| ~ spl84_8 ),
inference(avatar_split_clause,[],[f4460,f1484,f4530,f1515,f1511]) ).
fof(f4460,plain,
( vd1089 = vd14
| ~ ron(vd14,vd1092)
| ~ ron(vd14,sK36)
| ~ spl84_8 ),
inference(resolution,[],[f1485,f667]) ).
fof(f667,plain,
rpoint(vd14),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','pred(axiom(5), 0)') ).
fof(f1485,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1089 = X0
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36) )
| ~ spl84_8 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f4528,plain,
( ~ spl84_12
| ~ spl84_24
| ~ spl84_68
| ~ spl84_88 ),
inference(avatar_split_clause,[],[f3502,f2246,f2088,f1582,f1499]) ).
fof(f2246,plain,
( spl84_88
<=> rS(vd1086,vd1086,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_88])]) ).
fof(f3502,plain,
( ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ ron(vd1086,sK36)
| ~ spl84_88 ),
inference(duplicate_literal_removal,[],[f3488]) ).
fof(f3488,plain,
( ~ rpoint(vd1086)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ ron(vd1086,sK36)
| ~ spl84_88 ),
inference(resolution,[],[f2248,f1102]) ).
fof(f2248,plain,
( rS(vd1086,vd1086,sK36)
| ~ spl84_88 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f4527,plain,
( ~ spl84_21
| ~ spl84_12
| spl84_391
| ~ spl84_173
| ~ spl84_68
| spl84_393
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4526,f3649,f3548,f3407,f3383,f4507,f2088,f2856,f4499,f1499,f1535]) ).
fof(f4507,plain,
( spl84_393
<=> ! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1086),sK49(vd1086,vd1089))
| rR(X0,vd1086,sK83)
| ~ ron(X0,sK36)
| rR(sK83,vd1086,X0)
| sK83 = X0
| vd1086 = X0
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_393])]) ).
fof(f4526,plain,
( ! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1086),sK49(vd1086,vd1089))
| ~ rpoint(vd1086)
| ~ rpoint(X0)
| ~ rpoint(sK83)
| vd1086 = X0
| vd1086 = sK83
| sK83 = X0
| rR(sK83,vd1086,X0)
| ~ ron(vd1086,sK36)
| ~ ron(X0,sK36)
| ~ ron(sK83,sK36)
| rR(X0,vd1086,sK83) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3543,f3654]) ).
fof(f3654,plain,
( sK49(vd1089,vd1086) = sK49(vd1086,vd1089)
| ~ spl84_245
| ~ spl84_256 ),
inference(backward_demodulation,[],[f3550,f3651]) ).
fof(f3543,plain,
( ! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1086),sK49(vd1089,vd1086))
| ~ rpoint(vd1086)
| ~ rpoint(X0)
| ~ rpoint(sK83)
| vd1086 = X0
| vd1086 = sK83
| sK83 = X0
| rR(sK83,vd1086,X0)
| ~ ron(vd1086,sK36)
| ~ ron(X0,sK36)
| ~ ron(sK83,sK36)
| rR(X0,vd1086,sK83) )
| ~ spl84_231
| ~ spl84_233 ),
inference(superposition,[],[f1702,f3437]) ).
fof(f1702,plain,
! [X6,X4,X5] :
( vf(X4,X6) = vplus(vf(X4,X5),vf(X5,X6))
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X6)
| X4 = X5
| X5 = X6
| X4 = X6
| rR(X6,X5,X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ ron(X6,sK36)
| rR(X4,X5,X6) ),
inference(duplicate_literal_removal,[],[f1674]) ).
fof(f1674,plain,
! [X6,X4,X5] :
( rR(X4,X5,X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X6)
| X4 = X5
| X5 = X6
| X4 = X6
| rR(X6,X5,X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| vf(X4,X6) = vplus(vf(X4,X5),vf(X5,X6)) ),
inference(resolution,[],[f1372,f995]) ).
fof(f995,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| vf(X3,X5) = vplus(vf(X3,X4),vf(X4,X5)) ),
inference(equality_resolution,[],[f994]) ).
fof(f994,plain,
! [X2,X3,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X4),vf(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f993]) ).
fof(f993,plain,
! [X2,X3,X1,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X1),vf(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f727]) ).
fof(f727,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X687,X688,X689] :
( ( ? [X692] :
( rpoint(X692)
& X687 = X692 )
& ? [X691] :
( rpoint(X691)
& X688 = X691 )
& ? [X690] :
( rpoint(X690)
& X689 = X690 )
& rR(X688,X687,X689) )
=> vplus(vf(X687,X688),vf(X688,X689)) = vf(X687,X689) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f1372,plain,
! [X8,X9,X7] :
( rR(X7,X8,X9)
| rR(X8,X7,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X7 = X8
| X7 = X9
| X8 = X9
| rR(X9,X7,X8)
| ~ ron(X7,sK36)
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) ),
inference(resolution,[],[f664,f1125]) ).
fof(f1125,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| rR(X7,X5,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1124,plain,
! [X3,X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1123]) ).
fof(f1123,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X2,X5,X6)
| rR(X5,X6,X2)
| rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1122]) ).
fof(f1122,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X2,X5,X1)
| rR(X5,X1,X2)
| rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f818]) ).
fof(f818,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X318,X319,X320,X321,X322] :
( ( ? [X325] :
( rpoint(X325)
& X318 = X325 )
& ? [X324] :
( rpoint(X324)
& X319 = X324 )
& ? [X323] :
( rpoint(X323)
& X320 = X323 )
& X318 != X319
& X318 != X320
& X319 != X320
& rline(X322)
& ron(X318,X321)
& ron(X319,X321)
& ron(X320,X321)
& X321 = X322 )
=> ( rR(X320,X318,X319)
| rR(X318,X319,X320)
| rR(X319,X318,X320) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f664,plain,
rline(sK36),
inference(cnf_transformation,[],[f494]) ).
fof(f494,plain,
( vd1092 != sK36
& rline(sK36)
& ron(vd1080,sK36)
& ron(vd1089,sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f228,f493]) ).
fof(f493,plain,
( ? [X0] :
( vd1092 != X0
& rline(X0)
& ron(vd1080,X0)
& ron(vd1089,X0) )
=> ( vd1092 != sK36
& rline(sK36)
& ron(vd1080,sK36)
& ron(vd1089,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
? [X0] :
( vd1092 != X0
& rline(X0)
& ron(vd1080,X0)
& ron(vd1089,X0) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
? [X0] :
( vd1092 != X0
& rline(X0)
& ron(vd1080,X0)
& ron(vd1089,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rline(X0)
& ron(vd1080,X0)
& ron(vd1089,X0) )
=> vd1092 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rline(X0)
& ron(vd1080,X0)
& ron(vd1089,X0) )
=> vd1092 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(theu(the(227), 1), imp(the(227)))') ).
fof(f4525,plain,
( ~ spl84_12
| ~ spl84_21
| spl84_391
| ~ spl84_68
| ~ spl84_173
| spl84_392
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4524,f3649,f3548,f3407,f3383,f4503,f2856,f2088,f4499,f1535,f1499]) ).
fof(f4503,plain,
( spl84_392
<=> ! [X1] :
( vf(vd1086,X1) = vplus(sK49(vd1086,vd1089),vf(sK83,X1))
| rR(vd1086,sK83,X1)
| ~ ron(X1,sK36)
| rR(X1,sK83,vd1086)
| vd1086 = X1
| sK83 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_392])]) ).
fof(f4524,plain,
( ! [X1] :
( vf(vd1086,X1) = vplus(sK49(vd1086,vd1089),vf(sK83,X1))
| ~ rpoint(sK83)
| ~ rpoint(vd1086)
| ~ rpoint(X1)
| vd1086 = sK83
| sK83 = X1
| vd1086 = X1
| rR(X1,sK83,vd1086)
| ~ ron(sK83,sK36)
| ~ ron(vd1086,sK36)
| ~ ron(X1,sK36)
| rR(vd1086,sK83,X1) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3544,f3654]) ).
fof(f3544,plain,
( ! [X1] :
( vf(vd1086,X1) = vplus(sK49(vd1089,vd1086),vf(sK83,X1))
| ~ rpoint(sK83)
| ~ rpoint(vd1086)
| ~ rpoint(X1)
| vd1086 = sK83
| sK83 = X1
| vd1086 = X1
| rR(X1,sK83,vd1086)
| ~ ron(sK83,sK36)
| ~ ron(vd1086,sK36)
| ~ ron(X1,sK36)
| rR(vd1086,sK83,X1) )
| ~ spl84_231
| ~ spl84_233 ),
inference(superposition,[],[f1702,f3437]) ).
fof(f4523,plain,
( ~ spl84_12
| ~ spl84_9
| spl84_235
| ~ spl84_68
| ~ spl84_25
| spl84_395
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4522,f3649,f3548,f3407,f3383,f4515,f1586,f2088,f3418,f1487,f1499]) ).
fof(f4515,plain,
( spl84_395
<=> ! [X0] :
( vf(X0,vd1086) = vplus(vf(X0,vd1089),sK49(vd1086,vd1089))
| rR(X0,vd1089,vd1086)
| ~ ron(X0,sK36)
| rR(vd1086,vd1089,X0)
| vd1086 = X0
| vd1089 = X0
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_395])]) ).
fof(f4522,plain,
( ! [X0] :
( vf(X0,vd1086) = vplus(vf(X0,vd1089),sK49(vd1086,vd1089))
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| ~ rpoint(vd1086)
| vd1089 = X0
| vd1089 = vd1086
| vd1086 = X0
| rR(vd1086,vd1089,X0)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| ~ ron(vd1086,sK36)
| rR(X0,vd1089,vd1086) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3596,f3651]) ).
fof(f3596,plain,
( ! [X0] :
( vf(X0,vd1086) = vplus(vf(X0,vd1089),sK49(vd1086,sK83))
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| ~ rpoint(vd1086)
| vd1089 = X0
| vd1089 = vd1086
| vd1086 = X0
| rR(vd1086,vd1089,X0)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| ~ ron(vd1086,sK36)
| rR(X0,vd1089,vd1086) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245 ),
inference(superposition,[],[f1702,f3557]) ).
fof(f4521,plain,
( ~ spl84_9
| ~ spl84_12
| spl84_235
| ~ spl84_25
| ~ spl84_68
| spl84_394
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f4520,f3649,f3548,f3407,f3383,f4511,f2088,f1586,f3418,f1499,f1487]) ).
fof(f4511,plain,
( spl84_394
<=> ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1086,vd1089),vf(vd1086,X1))
| rR(vd1089,vd1086,X1)
| ~ ron(X1,sK36)
| rR(X1,vd1086,vd1089)
| vd1089 = X1
| vd1086 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_394])]) ).
fof(f4520,plain,
( ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1086,vd1089),vf(vd1086,X1))
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| vd1089 = vd1086
| vd1086 = X1
| vd1089 = X1
| rR(X1,vd1086,vd1089)
| ~ ron(vd1086,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| rR(vd1089,vd1086,X1) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(forward_demodulation,[],[f3597,f3651]) ).
fof(f3597,plain,
( ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1086,sK83),vf(vd1086,X1))
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| vd1089 = vd1086
| vd1086 = X1
| vd1089 = X1
| rR(X1,vd1086,vd1089)
| ~ ron(vd1086,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| rR(vd1089,vd1086,X1) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245 ),
inference(superposition,[],[f1702,f3557]) ).
fof(f4517,plain,
( ~ spl84_12
| ~ spl84_9
| spl84_235
| ~ spl84_68
| ~ spl84_25
| spl84_395
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f3681,f3649,f3548,f3407,f3383,f4515,f1586,f2088,f3418,f1487,f1499]) ).
fof(f3681,plain,
( ! [X0] :
( vf(X0,vd1086) = vplus(vf(X0,vd1089),sK49(vd1086,vd1089))
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| ~ rpoint(vd1086)
| vd1089 = X0
| vd1089 = vd1086
| vd1086 = X0
| rR(vd1086,vd1089,X0)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| ~ ron(vd1086,sK36)
| rR(X0,vd1089,vd1086) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(superposition,[],[f1702,f3659]) ).
fof(f4513,plain,
( ~ spl84_9
| ~ spl84_12
| spl84_235
| ~ spl84_25
| ~ spl84_68
| spl84_394
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f3682,f3649,f3548,f3407,f3383,f4511,f2088,f1586,f3418,f1499,f1487]) ).
fof(f3682,plain,
( ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1086,vd1089),vf(vd1086,X1))
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| vd1089 = vd1086
| vd1086 = X1
| vd1089 = X1
| rR(X1,vd1086,vd1089)
| ~ ron(vd1086,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| rR(vd1089,vd1086,X1) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(superposition,[],[f1702,f3659]) ).
fof(f4509,plain,
( ~ spl84_21
| ~ spl84_12
| spl84_391
| ~ spl84_173
| ~ spl84_68
| spl84_393
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f3747,f3649,f3548,f3407,f3383,f4507,f2088,f2856,f4499,f1499,f1535]) ).
fof(f3747,plain,
( ! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1086),sK49(vd1086,vd1089))
| ~ rpoint(vd1086)
| ~ rpoint(X0)
| ~ rpoint(sK83)
| vd1086 = X0
| vd1086 = sK83
| sK83 = X0
| rR(sK83,vd1086,X0)
| ~ ron(vd1086,sK36)
| ~ ron(X0,sK36)
| ~ ron(sK83,sK36)
| rR(X0,vd1086,sK83) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(superposition,[],[f1702,f3656]) ).
fof(f4505,plain,
( ~ spl84_12
| ~ spl84_21
| spl84_391
| ~ spl84_68
| ~ spl84_173
| spl84_392
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f3748,f3649,f3548,f3407,f3383,f4503,f2856,f2088,f4499,f1535,f1499]) ).
fof(f3748,plain,
( ! [X1] :
( vf(vd1086,X1) = vplus(sK49(vd1086,vd1089),vf(sK83,X1))
| ~ rpoint(sK83)
| ~ rpoint(vd1086)
| ~ rpoint(X1)
| vd1086 = sK83
| sK83 = X1
| vd1086 = X1
| rR(X1,sK83,vd1086)
| ~ ron(sK83,sK36)
| ~ ron(vd1086,sK36)
| ~ ron(X1,sK36)
| rR(vd1086,sK83,X1) )
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(superposition,[],[f1702,f3656]) ).
fof(f4497,plain,
( ~ spl84_12
| ~ spl84_13
| spl84_235
| ~ spl84_8 ),
inference(avatar_split_clause,[],[f4458,f1484,f3418,f1503,f1499]) ).
fof(f4458,plain,
( vd1089 = vd1086
| ~ ron(vd1086,vd1092)
| ~ ron(vd1086,sK36)
| ~ spl84_8 ),
inference(resolution,[],[f1485,f668]) ).
fof(f4496,plain,
( ~ spl84_21
| ~ spl84_22
| spl84_224
| ~ spl84_8
| ~ spl84_173 ),
inference(avatar_split_clause,[],[f4480,f2856,f1484,f3316,f1539,f1535]) ).
fof(f4480,plain,
( vd1089 = sK83
| ~ ron(sK83,vd1092)
| ~ ron(sK83,sK36)
| ~ spl84_8
| ~ spl84_173 ),
inference(resolution,[],[f1485,f2857]) ).
fof(f4495,plain,
( ~ spl84_18
| ~ spl84_19
| spl84_390
| ~ spl84_8 ),
inference(avatar_split_clause,[],[f4479,f1484,f4492,f1527,f1523]) ).
fof(f1523,plain,
( spl84_18
<=> ron(sK82,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_18])]) ).
fof(f1527,plain,
( spl84_19
<=> ron(sK82,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_19])]) ).
fof(f4492,plain,
( spl84_390
<=> vd1089 = sK82 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_390])]) ).
fof(f4479,plain,
( vd1089 = sK82
| ~ ron(sK82,vd1092)
| ~ ron(sK82,sK36)
| ~ spl84_8 ),
inference(resolution,[],[f1485,f940]) ).
fof(f940,plain,
rpoint(sK82),
inference(cnf_transformation,[],[f659]) ).
fof(f659,plain,
( rpoint(sK82)
& vd1081 = sK82 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f221,f658]) ).
fof(f658,plain,
( ? [X0] :
( rpoint(X0)
& vd1081 = X0 )
=> ( rpoint(sK82)
& vd1081 = sK82 ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
? [X0] :
( rpoint(X0)
& vd1081 = X0 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
? [X15] :
( rpoint(X15)
& vd1081 = X15 ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qe(s2(plural(224)))') ).
fof(f4490,plain,
( ~ spl84_218
| ~ spl84_219
| spl84_389
| ~ spl84_8
| ~ spl84_107 ),
inference(avatar_split_clause,[],[f4478,f2394,f1484,f4487,f3220,f3216]) ).
fof(f3216,plain,
( spl84_218
<=> ron(sK56(sK36,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_218])]) ).
fof(f3220,plain,
( spl84_219
<=> ron(sK56(sK36,vd14),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_219])]) ).
fof(f4487,plain,
( spl84_389
<=> vd1089 = sK56(sK36,vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_389])]) ).
fof(f2394,plain,
( spl84_107
<=> rpoint(sK56(sK36,vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_107])]) ).
fof(f4478,plain,
( vd1089 = sK56(sK36,vd14)
| ~ ron(sK56(sK36,vd14),vd1092)
| ~ ron(sK56(sK36,vd14),sK36)
| ~ spl84_8
| ~ spl84_107 ),
inference(resolution,[],[f1485,f2396]) ).
fof(f2396,plain,
( rpoint(sK56(sK36,vd14))
| ~ spl84_107 ),
inference(avatar_component_clause,[],[f2394]) ).
fof(f4485,plain,
( ~ spl84_203
| ~ spl84_204
| spl84_388
| ~ spl84_8
| ~ spl84_90 ),
inference(avatar_split_clause,[],[f4477,f2256,f1484,f4482,f3077,f3073]) ).
fof(f3073,plain,
( spl84_203
<=> ron(sK56(sK36,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_203])]) ).
fof(f3077,plain,
( spl84_204
<=> ron(sK56(sK36,vd1086),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_204])]) ).
fof(f4482,plain,
( spl84_388
<=> vd1089 = sK56(sK36,vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_388])]) ).
fof(f2256,plain,
( spl84_90
<=> rpoint(sK56(sK36,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_90])]) ).
fof(f4477,plain,
( vd1089 = sK56(sK36,vd1086)
| ~ ron(sK56(sK36,vd1086),vd1092)
| ~ ron(sK56(sK36,vd1086),sK36)
| ~ spl84_8
| ~ spl84_90 ),
inference(resolution,[],[f1485,f2258]) ).
fof(f2258,plain,
( rpoint(sK56(sK36,vd1086))
| ~ spl84_90 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f4456,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_387
| spl84_251 ),
inference(avatar_split_clause,[],[f4380,f3616,f4454,f2643,f1582]) ).
fof(f2643,plain,
( spl84_142
<=> rpoint(sK56(vd1092,sK82)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_142])]) ).
fof(f4454,plain,
( spl84_387
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,sK82))
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_387])]) ).
fof(f3616,plain,
( spl84_251
<=> ron(sK56(vd1092,sK82),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_251])]) ).
fof(f4380,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,sK82)) )
| spl84_251 ),
inference(resolution,[],[f3618,f1367]) ).
fof(f1367,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( ron(X23,X17)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| vangle(X28,X29,X30) = vangle(X31,X32,X33)
| sP35(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ),
inference(equality_resolution,[],[f1366]) ).
fof(f1366,plain,
! [X23,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X32,X30,X33,X20] :
( vangle(X28,X29,X30) = vangle(X31,X32,X33)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1365]) ).
fof(f1365,plain,
! [X25,X33,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X15,X22,X24,X32,X30,X20,X23] :
( vangle(X28,X29,X30) = vangle(X31,X32,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1364]) ).
fof(f1364,plain,
! [X32,X33,X31,X21,X28,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X24,X23,X30,X20,X25] :
( vangle(X28,X29,X30) = vangle(X31,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1363]) ).
fof(f1363,plain,
! [X25,X32,X33,X31,X21,X28,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X24,X23,X13,X30,X20] :
( vangle(X13,X14,X15) = vangle(X28,X29,X30)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1362]) ).
fof(f1362,plain,
! [X25,X30,X32,X31,X21,X28,X33,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X12,X23,X13,X20,X24] :
( vangle(X13,X14,X15) = vangle(X28,X29,X12)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1361]) ).
fof(f1361,plain,
! [X25,X30,X32,X31,X21,X28,X33,X29,X11,X18,X19,X26,X16,X14,X27,X17,X15,X22,X12,X23,X13,X20,X24] :
( vangle(X13,X14,X15) = vangle(X28,X11,X12)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X11,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1360]) ).
fof(f1360,plain,
! [X21,X28,X11,X18,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1359]) ).
fof(f1359,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1358]) ).
fof(f1358,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1357]) ).
fof(f1357,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X7,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1356]) ).
fof(f1356,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1355]) ).
fof(f1355,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1354]) ).
fof(f1354,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1353]) ).
fof(f1353,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1352]) ).
fof(f1352,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X2 != X20
| X18 = X19
| X2 = X18
| X2 = X19
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1351]) ).
fof(f1351,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X1 = X18
| X2 = X18
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f937]) ).
fof(f937,plain,
! [X2,X21,X28,X0,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| X0 != X18
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(cnf_transformation,[],[f492]) ).
fof(f492,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(definition_folding,[],[f422,f491]) ).
fof(f491,plain,
! [X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5] :
( ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X34,X36,X35) = vangle(X0,X2,X1)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| ~ sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X34,X36,X35) = vangle(X0,X2,X1)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| X16 != X17 ),
inference(flattening,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X34,X36,X35) = vangle(X0,X2,X1)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| X16 != X17 ),
inference(ennf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( ? [X18] :
( rpoint(X18)
& X0 = X18 )
& ? [X19] :
( rpoint(X19)
& X1 = X19 )
& ? [X20] :
( rpoint(X20)
& X2 = X20 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X21] :
( rpoint(X21)
& X3 = X21 )
& ? [X22] :
( rpoint(X22)
& X4 = X22 )
& ? [X23] :
( rpoint(X23)
& X5 = X23 )
& ? [X24] :
( rpoint(X24)
& X6 = X24 )
& ? [X25] :
( rpoint(X25)
& X7 = X25 )
& ? [X26] :
( rpoint(X26)
& X8 = X26 )
& ? [X27] :
( rpoint(X27)
& X9 = X27 )
& ? [X28] :
( rpoint(X28)
& X10 = X28 )
& ? [X29] :
( rpoint(X29)
& X11 = X29 )
& ? [X30] :
( rpoint(X30)
& X12 = X30 )
& ? [X31] :
( rpoint(X31)
& X13 = X31 )
& ? [X32] :
( rpoint(X32)
& X14 = X32 )
& ? [X33] :
( rpoint(X33)
& X15 = X33 )
& rline(X17)
& ron(X3,X16)
& ron(X4,X16)
& ~ ron(X5,X16)
& ! [X34,X35,X36] :
( ( rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X34,X36,X35) = vangle(X0,X2,X1)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) )
& X16 = X17 )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70] :
( ( ? [X89] :
( rpoint(X89)
& X53 = X89 )
& ? [X88] :
( rpoint(X88)
& X54 = X88 )
& ? [X87] :
( rpoint(X87)
& X55 = X87 )
& X53 != X54
& X53 != X55
& X54 != X55
& ? [X86] :
( rpoint(X86)
& X56 = X86 )
& ? [X85] :
( rpoint(X85)
& X57 = X85 )
& ? [X84] :
( rpoint(X84)
& X58 = X84 )
& ? [X83] :
( rpoint(X83)
& X59 = X83 )
& ? [X82] :
( rpoint(X82)
& X60 = X82 )
& ? [X81] :
( rpoint(X81)
& X61 = X81 )
& ? [X80] :
( rpoint(X80)
& X62 = X80 )
& ? [X79] :
( rpoint(X79)
& X63 = X79 )
& ? [X78] :
( rpoint(X78)
& X64 = X78 )
& ? [X77] :
( rpoint(X77)
& X65 = X77 )
& ? [X76] :
( rpoint(X76)
& X66 = X76 )
& ? [X75] :
( rpoint(X75)
& X67 = X75 )
& ? [X74] :
( rpoint(X74)
& X68 = X74 )
& rline(X70)
& ron(X56,X69)
& ron(X57,X69)
& ~ ron(X58,X69)
& ! [X71,X72,X73] :
( ( rpoint(X71)
& rpoint(X72)
& rpoint(X73)
& X56 = X71
& vangle(X73,X72,X71) = vangle(X55,X54,X53)
& vangle(X72,X71,X73) = vangle(X54,X53,X55)
& vangle(X71,X73,X72) = vangle(X53,X55,X54)
& vf(X53,X54) = vf(X71,X72)
& vf(X54,X55) = vf(X72,X73)
& vf(X53,X55) = vf(X71,X73)
& ron(X72,X69)
& ~ rR(X56,X72,X57)
& rS(X73,X58,X69) )
=> ( vf(X59,X60) = vf(X61,X62)
& vangle(X63,X64,X65) = vangle(X66,X67,X68) ) )
& X69 = X70 )
=> ( vf(X59,X60) = vf(X61,X62)
& vangle(X63,X64,X65) = vangle(X66,X67,X68) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))') ).
fof(f3618,plain,
( ~ ron(sK56(vd1092,sK82),sK36)
| spl84_251 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f4452,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_386
| spl84_251 ),
inference(avatar_split_clause,[],[f4379,f3616,f4450,f2643,f1582]) ).
fof(f4450,plain,
( spl84_386
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,sK82))
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_386])]) ).
fof(f4379,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,sK82)) )
| spl84_251 ),
inference(resolution,[],[f3618,f1350]) ).
fof(f1350,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( ron(X23,X17)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| vf(X24,X25) = vf(X26,X27)
| sP35(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ),
inference(equality_resolution,[],[f1349]) ).
fof(f1349,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1348]) ).
fof(f1348,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1347]) ).
fof(f1347,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1346]) ).
fof(f1346,plain,
! [X32,X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X13] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1345]) ).
fof(f1345,plain,
! [X13,X32,X33,X31,X21,X28,X15,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X12] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1344]) ).
fof(f1344,plain,
! [X13,X32,X33,X31,X21,X28,X15,X29,X11,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X12] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X11,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1343]) ).
fof(f1343,plain,
! [X21,X28,X11,X18,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X24,X25) = vf(X26,X27)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X27,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1342]) ).
fof(f1342,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X24,X25) = vf(X26,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1341]) ).
fof(f1341,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X24,X25) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1340]) ).
fof(f1340,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vf(X8,X9) = vf(X24,X7)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X7,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1339]) ).
fof(f1339,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1338]) ).
fof(f1338,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1337]) ).
fof(f1337,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1336]) ).
fof(f1336,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1335]) ).
fof(f1335,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X2 != X20
| X18 = X19
| X2 = X18
| X2 = X19
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1334]) ).
fof(f1334,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X1 = X18
| X2 = X18
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f938]) ).
fof(f938,plain,
! [X2,X21,X28,X0,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| X0 != X18
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP35(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(cnf_transformation,[],[f492]) ).
fof(f4448,plain,
( spl84_385
| ~ spl84_142
| ~ spl84_24
| spl84_251 ),
inference(avatar_split_clause,[],[f4377,f3616,f1582,f2643,f4446]) ).
fof(f4446,plain,
( spl84_385
<=> ! [X34,X35] :
( sP31(sK36,sK56(vd1092,sK82),X34,X35)
| ~ rS(X35,sK56(vd1092,sK82),sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK56(vd1092,sK82),sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_385])]) ).
fof(f4377,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,sK82))
| sP31(sK36,sK56(vd1092,sK82),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(vd1092,sK82),sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK56(vd1092,sK82),sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1297]) ).
fof(f1297,plain,
! [X3,X1,X7,X5] :
( ron(X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| sP31(X1,X3,X5,X7)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1)
| ~ rpoint(X7)
| ~ rS(X7,X3,X1) ),
inference(equality_resolution,[],[f1296]) ).
fof(f1296,plain,
! [X2,X3,X1,X7,X5] :
( sP31(X1,X2,X5,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| ~ rpoint(X7)
| ~ rS(X7,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1295]) ).
fof(f1295,plain,
! [X2,X3,X1,X7,X4,X5] :
( sP31(X1,X2,X4,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| ~ rpoint(X7)
| ~ rS(X7,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f1294]) ).
fof(f1294,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( sP31(X1,X2,X4,X6)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| ~ rpoint(X7)
| ~ rS(X6,X2,X1)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f907]) ).
fof(f907,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP31(X0,X2,X4,X6)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP31(X0,X2,X4,X6)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(definition_folding,[],[f410,f484]) ).
fof(f484,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ sP31(X0,X2,X4,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f410,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(flattening,[],[f409]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(ennf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& rpoint(X7)
& rS(X6,X2,X0)
& X6 = X7
& X4 = X5
& X2 = X3 )
=> ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X460,X461,X462,X463,X464,X465,X466,X467] :
( ( rline(X461)
& X460 = X461
& rpoint(X463)
& ~ ron(X462,X460)
& rpoint(X465)
& rS(X464,X462,X460)
& rpoint(X467)
& rS(X466,X462,X460)
& X466 = X467
& X464 = X465
& X462 = X463 )
=> ? [X468] :
( rpoint(X468)
& rS(X468,X462,X460)
& X462 != X468
& X464 != X468
& X466 != X468 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))') ).
fof(f4444,plain,
( ~ spl84_142
| ~ spl84_24
| spl84_384
| spl84_251 ),
inference(avatar_split_clause,[],[f4376,f3616,f4442,f1582,f2643]) ).
fof(f4442,plain,
( spl84_384
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(vd1092,sK82),sK36)
| ~ ron(sK56(vd1092,sK82),X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK56(vd1092,sK82),X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_384])]) ).
fof(f4376,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(vd1092,sK82))
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK56(vd1092,sK82),X30)
| ~ rS(X33,sK56(vd1092,sK82),X29)
| rS(X32,sK56(vd1092,sK82),sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_251 ),
inference(resolution,[],[f3618,f1254]) ).
fof(f1254,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| rS(X11,X13,X8)
| rS(X11,X12,X9)
| X10 = X11 ),
inference(equality_resolution,[],[f1253]) ).
fof(f1253,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( rS(X11,X12,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X8)
| ~ ron(X6,X9)
| ~ rS(X12,X6,X7)
| rS(X11,X6,X8)
| ron(X6,X8)
| X10 = X11 ),
inference(equality_resolution,[],[f1252]) ).
fof(f1252,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( rS(X11,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X11,X6,X8)
| ron(X6,X8)
| X10 = X11 ),
inference(equality_resolution,[],[f1251]) ).
fof(f1251,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X4 = X10 ),
inference(equality_resolution,[],[f1250]) ).
fof(f1250,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X3 = X4 ),
inference(equality_resolution,[],[f1249]) ).
fof(f1249,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X3 = X4 ),
inference(equality_resolution,[],[f1248]) ).
fof(f1248,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(equality_resolution,[],[f879]) ).
fof(f879,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| X0 != X7
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f394]) ).
fof(f394,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rS(X4,X5,X2)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(flattening,[],[f393]) ).
fof(f393,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rS(X4,X5,X2)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(ennf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rline(X7)
& X0 = X7 )
& ? [X8] :
( rline(X8)
& X1 = X8 )
& ? [X9] :
( rline(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rpoint(X12)
& X5 = X12 )
& ? [X13] :
( rpoint(X13)
& X6 = X13 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& ~ rS(X4,X6,X1)
& ~ ron(X6,X1)
& X3 != X4 )
=> rS(X4,X5,X2) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X216,X217,X218,X219,X220,X221,X222] :
( ( ? [X229] :
( rline(X229)
& X216 = X229 )
& ? [X228] :
( rline(X228)
& X217 = X228 )
& ? [X227] :
( rline(X227)
& X218 = X227 )
& ? [X226] :
( rpoint(X226)
& X219 = X226 )
& ? [X225] :
( rpoint(X225)
& X220 = X225 )
& ? [X224] :
( rpoint(X224)
& X221 = X224 )
& ? [X223] :
( rpoint(X223)
& X222 = X223 )
& ron(X219,X216)
& ron(X219,X217)
& ron(X219,X218)
& ron(X220,X216)
& ron(X221,X217)
& ron(X222,X218)
& rS(X221,X222,X216)
& ~ rS(X220,X222,X217)
& ~ ron(X222,X217)
& X219 != X220 )
=> rS(X220,X221,X218) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).
fof(f4440,plain,
( spl84_383
| ~ spl84_142
| ~ spl84_24
| spl84_251 ),
inference(avatar_split_clause,[],[f4375,f3616,f1582,f2643,f4438]) ).
fof(f4438,plain,
( spl84_383
<=> ! [X28] :
( sP23(sK36,sK56(vd1092,sK82),X28)
| ~ rS(X28,sK56(vd1092,sK82),sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_383])]) ).
fof(f4375,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,sK82))
| sP23(sK36,sK56(vd1092,sK82),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(vd1092,sK82),sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1213]) ).
fof(f1213,plain,
! [X3,X1,X5] :
( ron(X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| sP23(X1,X3,X5)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1212]) ).
fof(f1212,plain,
! [X2,X3,X1,X5] :
( sP23(X1,X2,X5)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1211]) ).
fof(f1211,plain,
! [X2,X3,X1,X4,X5] :
( sP23(X1,X2,X4)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f857]) ).
fof(f857,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP23(X0,X2,X4)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP23(X0,X2,X4)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(definition_folding,[],[f374,f468]) ).
fof(f468,plain,
! [X0,X2,X4] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
| ~ sP23(X0,X2,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& X4 = X5
& X2 = X3 )
=> ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 ) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X469,X470,X471,X472,X473,X474] :
( ( rline(X470)
& X469 = X470
& rpoint(X472)
& ~ ron(X471,X469)
& rpoint(X474)
& rS(X473,X471,X469)
& X473 = X474
& X471 = X472 )
=> ? [X475] :
( rpoint(X475)
& rS(X475,X471,X469)
& X471 != X475
& X473 != X475 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))') ).
fof(f4436,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_382
| spl84_251 ),
inference(avatar_split_clause,[],[f4374,f3616,f4434,f2643,f1582]) ).
fof(f4434,plain,
( spl84_382
<=> ! [X25,X27,X26] :
( vangle(sK56(vd1092,sK82),X25,X26) != vangle(X27,X25,sK56(vd1092,sK82))
| vperp = vangle(X27,X25,sK56(vd1092,sK82))
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_382])]) ).
fof(f4374,plain,
( ! [X26,X27,X25] :
( vangle(sK56(vd1092,sK82),X25,X26) != vangle(X27,X25,sK56(vd1092,sK82))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(vd1092,sK82)) )
| spl84_251 ),
inference(resolution,[],[f3618,f1206]) ).
fof(f1206,plain,
! [X8,X6,X9,X7,X5] :
( ron(X9,X5)
| vangle(X9,X8,X7) != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| vperp = vangle(X6,X8,X9) ),
inference(equality_resolution,[],[f1205]) ).
fof(f1205,plain,
! [X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X8,X9)
| vangle(X9,X8,X7) != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X9,X4) ),
inference(equality_resolution,[],[f1204]) ).
fof(f1204,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X8,X3)
| vangle(X6,X8,X3) != vangle(X3,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1203]) ).
fof(f1203,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X2,X3)
| vangle(X6,X2,X3) != vangle(X3,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1202]) ).
fof(f1202,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X2,X3)
| vangle(X3,X2,X1) != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X1)
| ron(X3,X4) ),
inference(equality_resolution,[],[f850]) ).
fof(f850,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X0,X2,X3)
| vangle(X0,X2,X3) != vangle(X3,X2,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(cnf_transformation,[],[f609]) ).
fof(f609,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
| vperp != vangle(X0,X2,X3) )
& ( vperp = vangle(X0,X2,X3)
| vangle(X0,X2,X3) != vangle(X3,X2,X1) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(nnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(flattening,[],[f369]) ).
fof(f369,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(ennf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& rline(X5)
& X4 = X5
& rR(X2,X0,X1)
& ~ ron(X3,X4) )
=> ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) ) ),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X651,X652,X653,X654,X655,X656] :
( ( ? [X660] :
( rpoint(X660)
& X651 = X660 )
& ? [X659] :
( rpoint(X659)
& X652 = X659 )
& ? [X658] :
( rpoint(X658)
& X653 = X658 )
& ? [X657] :
( rpoint(X657)
& X654 = X657 )
& rline(X656)
& X655 = X656
& rR(X653,X651,X652)
& ~ ron(X654,X655) )
=> ( vangle(X651,X653,X654) = vangle(X654,X653,X652)
<=> vperp = vangle(X651,X653,X654) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))') ).
fof(f4432,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_381
| spl84_251 ),
inference(avatar_split_clause,[],[f4428,f3616,f4430,f2643,f1582]) ).
fof(f4430,plain,
( spl84_381
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,sK82))
| vperp = vangle(sK56(vd1092,sK82),X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_381])]) ).
fof(f4428,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,sK82))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(vd1092,sK82),X23,X24) )
| spl84_251 ),
inference(inner_rewriting,[],[f4373]) ).
fof(f4373,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,sK82))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(vd1092,sK82)) = vangle(sK56(vd1092,sK82),X23,X24) )
| spl84_251 ),
inference(resolution,[],[f3618,f1201]) ).
fof(f1201,plain,
! [X8,X6,X9,X7,X5] :
( ron(X9,X5)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| vangle(X9,X8,X7) = vangle(X6,X8,X9) ),
inference(equality_resolution,[],[f1200]) ).
fof(f1200,plain,
! [X8,X6,X9,X7,X4,X5] :
( vangle(X9,X8,X7) = vangle(X6,X8,X9)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X9,X4) ),
inference(equality_resolution,[],[f1199]) ).
fof(f1199,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X3) = vangle(X3,X8,X7)
| vperp != vangle(X6,X8,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1198]) ).
fof(f1198,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X2,X3) = vangle(X3,X2,X7)
| vperp != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1197]) ).
fof(f1197,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X2,X1) = vangle(X6,X2,X3)
| vperp != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X1)
| ron(X3,X4) ),
inference(equality_resolution,[],[f851]) ).
fof(f851,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X3) = vangle(X3,X2,X1)
| vperp != vangle(X0,X2,X3)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(cnf_transformation,[],[f609]) ).
fof(f4427,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_380
| spl84_251 ),
inference(avatar_split_clause,[],[f4372,f3616,f4425,f2643,f1582]) ).
fof(f4425,plain,
( spl84_380
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK56(vd1092,sK82),X21) = vplus(vg(X20,X19,sK56(vd1092,sK82)),vg(sK56(vd1092,sK82),X19,X21))
| sK56(vd1092,sK82) = X19
| sK56(vd1092,sK82) = X21
| X19 = X21
| sK56(vd1092,sK82) = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_380])]) ).
fof(f4372,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(vd1092,sK82))
| X20 = X21
| X19 = X20
| sK56(vd1092,sK82) = X20
| X19 = X21
| sK56(vd1092,sK82) = X21
| sK56(vd1092,sK82) = X19
| ~ rline(sK36)
| vg(X20,sK56(vd1092,sK82),X21) = vplus(vg(X20,X19,sK56(vd1092,sK82)),vg(sK56(vd1092,sK82),X19,X21)) )
| spl84_251 ),
inference(resolution,[],[f3618,f1196]) ).
fof(f1196,plain,
! [X8,X6,X9,X7,X5] :
( ron(X9,X5)
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| vg(X6,X9,X7) = vplus(vg(X6,X8,X9),vg(X9,X8,X7)) ),
inference(equality_resolution,[],[f1195]) ).
fof(f1195,plain,
! [X8,X6,X9,X7,X4,X5] :
( vg(X6,X9,X7) = vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| X4 != X5
| ron(X9,X4) ),
inference(equality_resolution,[],[f1194]) ).
fof(f1194,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vg(X6,X3,X7) = vplus(vg(X6,X8,X3),vg(X3,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X6 = X8
| X3 = X6
| X7 = X8
| X3 = X7
| X3 = X8
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1193]) ).
fof(f1193,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X6,X2,X3),vg(X3,X2,X7)) = vg(X6,X3,X7)
| ~ rR(X2,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X2 = X6
| X3 = X6
| X2 = X7
| X3 = X7
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1192]) ).
fof(f1192,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X6,X2,X3),vg(X3,X2,X1)) = vg(X6,X3,X1)
| ~ rR(X2,X6,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X1 = X6
| X2 = X6
| X3 = X6
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f848]) ).
fof(f848,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1)
| ~ rR(X2,X0,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(cnf_transformation,[],[f608]) ).
fof(f608,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( rR(X2,X0,X1)
| vplus(vg(X0,X2,X3),vg(X3,X2,X1)) != vg(X0,X3,X1) )
& ( vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1)
| ~ rR(X2,X0,X1) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(nnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(flattening,[],[f367]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& X0 != X1
& X0 != X2
& X0 != X3
& X1 != X2
& X1 != X3
& X2 != X3
& rline(X5)
& X4 = X5
& ~ ron(X3,X4) )
=> ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) ) ),
inference(rectify,[],[f101]) ).
fof(f101,axiom,
! [X583,X584,X585,X586,X587,X588] :
( ( ? [X592] :
( rpoint(X592)
& X583 = X592 )
& ? [X591] :
( rpoint(X591)
& X584 = X591 )
& ? [X590] :
( rpoint(X590)
& X585 = X590 )
& ? [X589] :
( rpoint(X589)
& X586 = X589 )
& X583 != X584
& X583 != X585
& X583 != X586
& X584 != X585
& X584 != X586
& X585 != X586
& rline(X588)
& X587 = X588
& ~ ron(X586,X587) )
=> ( rR(X585,X583,X584)
<=> vplus(vg(X583,X585,X586),vg(X586,X585,X584)) = vg(X583,X586,X584) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof(f4423,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_379
| spl84_251 ),
inference(avatar_split_clause,[],[f4371,f3616,f4421,f2643,f1582]) ).
fof(f4421,plain,
( spl84_379
<=> ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,sK82),X17) != vplus(vg(X16,X18,sK56(vd1092,sK82)),vg(sK56(vd1092,sK82),X18,X17))
| rR(X18,X16,X17)
| sK56(vd1092,sK82) = X18
| sK56(vd1092,sK82) = X17
| X17 = X18
| sK56(vd1092,sK82) = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_379])]) ).
fof(f4371,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,sK82),X17) != vplus(vg(X16,X18,sK56(vd1092,sK82)),vg(sK56(vd1092,sK82),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(vd1092,sK82))
| X16 = X17
| X16 = X18
| sK56(vd1092,sK82) = X16
| X17 = X18
| sK56(vd1092,sK82) = X17
| sK56(vd1092,sK82) = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_251 ),
inference(resolution,[],[f3618,f1191]) ).
fof(f1191,plain,
! [X8,X6,X9,X7,X5] :
( ron(X9,X5)
| vg(X6,X9,X7) != vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| rR(X8,X6,X7) ),
inference(equality_resolution,[],[f1190]) ).
fof(f1190,plain,
! [X8,X6,X9,X7,X4,X5] :
( rR(X8,X6,X7)
| vg(X6,X9,X7) != vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| X4 != X5
| ron(X9,X4) ),
inference(equality_resolution,[],[f1189]) ).
fof(f1189,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rR(X8,X6,X7)
| vg(X6,X3,X7) != vplus(vg(X6,X8,X3),vg(X3,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X6 = X8
| X3 = X6
| X7 = X8
| X3 = X7
| X3 = X8
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1188]) ).
fof(f1188,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rR(X2,X6,X7)
| vplus(vg(X6,X2,X3),vg(X3,X2,X7)) != vg(X6,X3,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X2 = X6
| X3 = X6
| X2 = X7
| X3 = X7
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1187]) ).
fof(f1187,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rR(X2,X6,X1)
| vplus(vg(X6,X2,X3),vg(X3,X2,X1)) != vg(X6,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X1 = X6
| X2 = X6
| X3 = X6
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f849]) ).
fof(f849,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X2,X0,X1)
| vplus(vg(X0,X2,X3),vg(X3,X2,X1)) != vg(X0,X3,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(cnf_transformation,[],[f608]) ).
fof(f4419,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_378
| spl84_251 ),
inference(avatar_split_clause,[],[f4370,f3616,f4417,f2643,f1582]) ).
fof(f4417,plain,
( spl84_378
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK56(vd1092,sK82),sK36,X12)
| ron(sK56(vd1092,sK82),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_378])]) ).
fof(f4370,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK56(vd1092,sK82),X15)
| sP22(X14,X15,X13,sK56(vd1092,sK82),sK36,X12)
| sK36 = X15 )
| spl84_251 ),
inference(resolution,[],[f3618,f1186]) ).
fof(f1186,plain,
! [X10,X11,X8,X6,X9,X7] :
( ron(X9,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| sP22(X8,X10,X7,X9,X11,X6)
| X10 = X11 ),
inference(equality_resolution,[],[f1185]) ).
fof(f1185,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( sP22(X8,X10,X7,X9,X5,X6)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f1184]) ).
fof(f1184,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( sP22(X8,X4,X7,X9,X5,X6)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1183]) ).
fof(f1183,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sP22(X8,X4,X7,X3,X5,X6)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1182]) ).
fof(f1182,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sP22(X2,X4,X7,X3,X5,X6)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1181]) ).
fof(f1181,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( sP22(X2,X4,X1,X3,X5,X6)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f847]) ).
fof(f847,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( sP22(X2,X4,X1,X3,X5,X0)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP22(X2,X4,X1,X3,X5,X0)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(definition_folding,[],[f366,f466,f465]) ).
fof(f465,plain,
! [X5,X3,X1,X4,X2] :
( sP21(X5,X3,X1,X4,X2)
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f466,plain,
! [X2,X4,X1,X3,X5,X0] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> sP21(X5,X3,X1,X4,X2) )
| ~ sP22(X2,X4,X1,X3,X5,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f366,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(flattening,[],[f365]) ).
fof(f365,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(ennf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rline(X10)
& X4 = X10 )
& ? [X11] :
( rline(X11)
& X5 = X11 )
& ron(X0,X4)
& ron(X0,X5)
& ron(X1,X4)
& ron(X2,X5)
& X0 != X1
& X0 != X2
& ~ ron(X3,X4)
& ~ ron(X3,X5)
& X4 != X5 )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X661,X662,X663,X664,X665,X666] :
( ( ? [X672] :
( rpoint(X672)
& X661 = X672 )
& ? [X671] :
( rpoint(X671)
& X662 = X671 )
& ? [X670] :
( rpoint(X670)
& X663 = X670 )
& ? [X669] :
( rpoint(X669)
& X664 = X669 )
& ? [X668] :
( rline(X668)
& X665 = X668 )
& ? [X667] :
( rline(X667)
& X666 = X667 )
& ron(X661,X665)
& ron(X661,X666)
& ron(X662,X665)
& ron(X663,X666)
& X661 != X662
& X661 != X663
& ~ ron(X664,X665)
& ~ ron(X664,X666)
& X665 != X666 )
=> ( vangle(X662,X661,X663) = vplus(vangle(X662,X661,X664),vangle(X664,X661,X663))
<=> ( rS(X662,X664,X666)
& rS(X663,X664,X665) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f4415,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_377
| spl84_251 ),
inference(avatar_split_clause,[],[f4369,f3616,f4413,f2643,f1582]) ).
fof(f4413,plain,
( spl84_377
<=> ! [X11,X10] :
( rS(X10,sK56(vd1092,sK82),sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK56(vd1092,sK82),sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_377])]) ).
fof(f4369,plain,
( ! [X10,X11] :
( rS(X10,sK56(vd1092,sK82),sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK56(vd1092,sK82),sK36)
| rS(X10,X11,sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1158]) ).
fof(f1158,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X5,X4)
| ron(X6,X4)
| rS(X6,X7,X4)
| rS(X5,X6,X4) ),
inference(equality_resolution,[],[f1157]) ).
fof(f1157,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| rS(X5,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X6,X3)
| ron(X7,X3)
| rS(X5,X6,X3) ),
inference(equality_resolution,[],[f1156]) ).
fof(f1156,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X6,X3)
| ron(X2,X3)
| rS(X5,X6,X3) ),
inference(equality_resolution,[],[f1155]) ).
fof(f1155,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X5,X1,X3) ),
inference(equality_resolution,[],[f830]) ).
fof(f830,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(flattening,[],[f353]) ).
fof(f353,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& ~ ron(X0,X3)
& ~ ron(X1,X3)
& ~ ron(X2,X3)
& ~ rS(X0,X1,X3) )
=> ( rS(X1,X2,X3)
| rS(X0,X2,X3) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X278,X279,X280,X281,X282] :
( ( ? [X285] :
( rpoint(X285)
& X278 = X285 )
& ? [X284] :
( rpoint(X284)
& X279 = X284 )
& ? [X283] :
( rpoint(X283)
& X280 = X283 )
& rline(X282)
& X281 = X282
& ~ ron(X278,X281)
& ~ ron(X279,X281)
& ~ ron(X280,X281)
& ~ rS(X278,X279,X281) )
=> ( rS(X279,X280,X281)
| rS(X278,X280,X281) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).
fof(f4411,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_376
| spl84_251 ),
inference(avatar_split_clause,[],[f4368,f3616,f4409,f2643,f1582]) ).
fof(f4409,plain,
( spl84_376
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(vd1092,sK82))
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_376])]) ).
fof(f4368,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(vd1092,sK82))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1141]) ).
fof(f1141,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| vd684 != vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1140]) ).
fof(f1140,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| vd684 != vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1139]) ).
fof(f1139,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X5,X6,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1138]) ).
fof(f1138,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X5,X1,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X1 = X5
| ~ ron(X5,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f955]) ).
fof(f955,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X0,X1,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(definition_unfolding,[],[f821,f674]) ).
fof(f674,plain,
v0 = vd684,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','pred(axiom(137), 2)') ).
fof(f821,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| v0 != vg(X0,X1,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f592]) ).
fof(f592,plain,
! [X0,X1,X2,X3,X4] :
( ( ( v0 = vg(X0,X1,X2)
| ~ ron(X2,X3) )
& ( ron(X2,X3)
| v0 != vg(X0,X1,X2) ) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(nnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4] :
( ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f345]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4] :
( ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& X0 != X1
& ron(X0,X3)
& ron(X1,X3) )
=> ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) ) ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X599,X600,X601,X602,X603] :
( ( ? [X606] :
( rpoint(X606)
& X599 = X606 )
& ? [X605] :
( rpoint(X605)
& X600 = X605 )
& ? [X604] :
( rpoint(X604)
& X601 = X604 )
& rline(X603)
& X602 = X603
& X599 != X600
& ron(X599,X602)
& ron(X600,X602) )
=> ( v0 = vg(X599,X600,X601)
<=> ron(X601,X602) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof(f4407,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_375
| spl84_251 ),
inference(avatar_split_clause,[],[f4367,f3616,f4405,f2643,f1582]) ).
fof(f4405,plain,
( spl84_375
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(vd1092,sK82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_375])]) ).
fof(f4367,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| ~ rR(X7,X6,sK56(vd1092,sK82))
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1133]) ).
fof(f1133,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1132]) ).
fof(f1132,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1131]) ).
fof(f1131,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1130]) ).
fof(f1130,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f820]) ).
fof(f820,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(flattening,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X350,X351,X352,X353,X354] :
( ( ? [X357] :
( rpoint(X357)
& X350 = X357 )
& ? [X356] :
( rpoint(X356)
& X351 = X356 )
& ? [X355] :
( rpoint(X355)
& X352 = X355 )
& rline(X354)
& rR(X351,X350,X352)
& ron(X350,X353)
& ron(X351,X353)
& X353 = X354 )
=> ron(X352,X353) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f4403,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_374
| spl84_251 ),
inference(avatar_split_clause,[],[f4366,f3616,f4401,f2643,f1582]) ).
fof(f4401,plain,
( spl84_374
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK56(vd1092,sK82),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_374])]) ).
fof(f4366,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,sK82),X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1129]) ).
fof(f1129,plain,
! [X6,X7,X4,X5] :
( ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1128,plain,
! [X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1127]) ).
fof(f1127,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1126]) ).
fof(f1126,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f819]) ).
fof(f819,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f341]) ).
fof(f341,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X2,X3)
& X3 = X4 )
=> ron(X1,X3) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X342,X343,X344,X345,X346] :
( ( ? [X349] :
( rpoint(X349)
& X342 = X349 )
& ? [X348] :
( rpoint(X348)
& X343 = X348 )
& ? [X347] :
( rpoint(X347)
& X344 = X347 )
& rline(X346)
& rR(X343,X342,X344)
& ron(X342,X345)
& ron(X344,X345)
& X345 = X346 )
=> ron(X343,X345) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f4399,plain,
( ~ spl84_24
| ~ spl84_142
| spl84_373
| spl84_251 ),
inference(avatar_split_clause,[],[f4365,f3616,f4397,f2643,f1582]) ).
fof(f4397,plain,
( spl84_373
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(vd1092,sK82),X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK56(vd1092,sK82),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_373])]) ).
fof(f4365,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(vd1092,sK82))
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,sK82),X2,X3)
| ~ ron(X2,sK36)
| rS(sK56(vd1092,sK82),X3,sK36) )
| spl84_251 ),
inference(resolution,[],[f3618,f1121]) ).
fof(f1121,plain,
! [X6,X7,X4,X5] :
( ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| rS(X6,X7,X4) ),
inference(equality_resolution,[],[f1120]) ).
fof(f1120,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1119]) ).
fof(f1119,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1118]) ).
fof(f1118,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ron(X1,X3) ),
inference(equality_resolution,[],[f817]) ).
fof(f817,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(flattening,[],[f337]) ).
fof(f337,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(ennf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X0,X3)
& ~ ron(X1,X3) )
=> rS(X1,X2,X3) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X262,X263,X264,X265,X266] :
( ( ? [X269] :
( rpoint(X269)
& X262 = X269 )
& ? [X268] :
( rpoint(X268)
& X263 = X268 )
& ? [X267] :
( rpoint(X267)
& X264 = X267 )
& rline(X266)
& X265 = X266
& rR(X263,X262,X264)
& ron(X262,X265)
& ~ ron(X263,X265) )
=> rS(X263,X264,X265) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).
fof(f4395,plain,
( spl84_372
| ~ spl84_142
| ~ spl84_24
| spl84_251 ),
inference(avatar_split_clause,[],[f4364,f3616,f1582,f2643,f4392]) ).
fof(f4392,plain,
( spl84_372
<=> rpoint(sK56(sK36,sK56(vd1092,sK82))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_372])]) ).
fof(f4364,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,sK82))
| rpoint(sK56(sK36,sK56(vd1092,sK82)))
| spl84_251 ),
inference(resolution,[],[f3618,f1055]) ).
fof(f1055,plain,
! [X3,X1] :
( ron(X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| rpoint(sK56(X1,X3)) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1054,plain,
! [X2,X3,X1] :
( rpoint(sK56(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f761]) ).
fof(f761,plain,
! [X2,X3,X0,X1] :
( rpoint(sK56(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f552]) ).
fof(f552,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK56(X0,X2))
& ~ rS(sK56(X0,X2),X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f296,f551]) ).
fof(f551,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
=> ( rpoint(sK56(X0,X2))
& ~ rS(sK56(X0,X2),X2,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
! [X455,X456,X457,X458] :
( ( rline(X456)
& X455 = X456
& rpoint(X458)
& ~ ron(X457,X455)
& X457 = X458 )
=> ? [X459] :
( rpoint(X459)
& ~ rS(X459,X457,X455) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))') ).
fof(f4390,plain,
( spl84_371
| ~ spl84_142
| ~ spl84_24
| spl84_251 ),
inference(avatar_split_clause,[],[f4363,f3616,f1582,f2643,f4387]) ).
fof(f4387,plain,
( spl84_371
<=> sP8(sK36,sK56(vd1092,sK82)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_371])]) ).
fof(f4363,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,sK82))
| sP8(sK36,sK56(vd1092,sK82))
| spl84_251 ),
inference(resolution,[],[f3618,f1053]) ).
fof(f1053,plain,
! [X3,X1] :
( ron(X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| sP8(X1,X3) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1052,plain,
! [X2,X3,X1] :
( sP8(X1,X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f759]) ).
fof(f759,plain,
! [X2,X3,X0,X1] :
( sP8(X0,X2)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f440]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( sP8(X0,X2)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(definition_folding,[],[f294,f439]) ).
fof(f439,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ sP8(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f294,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(flattening,[],[f293]) ).
fof(f293,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(ennf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 ) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X476,X477,X478,X479] :
( ( rline(X477)
& X476 = X477
& rpoint(X479)
& ~ ron(X478,X476)
& X478 = X479 )
=> ? [X480] :
( rpoint(X480)
& rS(X480,X478,X476)
& X478 != X480 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))') ).
fof(f4385,plain,
( spl84_370
| ~ spl84_24
| ~ spl84_142
| spl84_251 ),
inference(avatar_split_clause,[],[f4362,f3616,f2643,f1582,f4382]) ).
fof(f4382,plain,
( spl84_370
<=> rS(sK56(vd1092,sK82),sK56(vd1092,sK82),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_370])]) ).
fof(f4362,plain,
( ~ rpoint(sK56(vd1092,sK82))
| ~ rline(sK36)
| rS(sK56(vd1092,sK82),sK56(vd1092,sK82),sK36)
| spl84_251 ),
inference(resolution,[],[f3618,f1037]) ).
fof(f1037,plain,
! [X3,X1] :
( ron(X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| rS(X1,X1,X3) ),
inference(equality_resolution,[],[f1036]) ).
fof(f1036,plain,
! [X2,X3,X1] :
( rS(X1,X1,X2)
| ~ rpoint(X1)
| ~ rline(X3)
| X2 != X3
| ron(X1,X2) ),
inference(equality_resolution,[],[f748]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(ennf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& ~ ron(X0,X2) )
=> rS(X0,X0,X2) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X306,X307,X308,X309] :
( ( rpoint(X307)
& X306 = X307
& rline(X309)
& X308 = X309
& ~ ron(X306,X308) )
=> rS(X306,X306,X308) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof(f4356,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_369
| spl84_243 ),
inference(avatar_split_clause,[],[f4280,f3533,f4354,f2505,f1582]) ).
fof(f4354,plain,
( spl84_369
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,vd14))
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_369])]) ).
fof(f4280,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,vd14)) )
| spl84_243 ),
inference(resolution,[],[f3535,f1367]) ).
fof(f3535,plain,
( ~ ron(sK56(vd1092,vd14),sK36)
| spl84_243 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f4352,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_368
| spl84_243 ),
inference(avatar_split_clause,[],[f4279,f3533,f4350,f2505,f1582]) ).
fof(f4350,plain,
( spl84_368
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,vd14))
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_368])]) ).
fof(f4279,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,vd14)) )
| spl84_243 ),
inference(resolution,[],[f3535,f1350]) ).
fof(f4348,plain,
( spl84_367
| ~ spl84_127
| ~ spl84_24
| spl84_243 ),
inference(avatar_split_clause,[],[f4277,f3533,f1582,f2505,f4346]) ).
fof(f4346,plain,
( spl84_367
<=> ! [X34,X35] :
( sP31(sK36,sK56(vd1092,vd14),X34,X35)
| ~ rS(X35,sK56(vd1092,vd14),sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK56(vd1092,vd14),sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_367])]) ).
fof(f4277,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd14))
| sP31(sK36,sK56(vd1092,vd14),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(vd1092,vd14),sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK56(vd1092,vd14),sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1297]) ).
fof(f4344,plain,
( ~ spl84_127
| ~ spl84_24
| spl84_366
| spl84_243 ),
inference(avatar_split_clause,[],[f4276,f3533,f4342,f1582,f2505]) ).
fof(f4342,plain,
( spl84_366
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(vd1092,vd14),sK36)
| ~ ron(sK56(vd1092,vd14),X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK56(vd1092,vd14),X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_366])]) ).
fof(f4276,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(vd1092,vd14))
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK56(vd1092,vd14),X30)
| ~ rS(X33,sK56(vd1092,vd14),X29)
| rS(X32,sK56(vd1092,vd14),sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_243 ),
inference(resolution,[],[f3535,f1254]) ).
fof(f4340,plain,
( spl84_365
| ~ spl84_127
| ~ spl84_24
| spl84_243 ),
inference(avatar_split_clause,[],[f4275,f3533,f1582,f2505,f4338]) ).
fof(f4338,plain,
( spl84_365
<=> ! [X28] :
( sP23(sK36,sK56(vd1092,vd14),X28)
| ~ rS(X28,sK56(vd1092,vd14),sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_365])]) ).
fof(f4275,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd14))
| sP23(sK36,sK56(vd1092,vd14),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(vd1092,vd14),sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1213]) ).
fof(f4336,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_364
| spl84_243 ),
inference(avatar_split_clause,[],[f4274,f3533,f4334,f2505,f1582]) ).
fof(f4334,plain,
( spl84_364
<=> ! [X25,X27,X26] :
( vangle(sK56(vd1092,vd14),X25,X26) != vangle(X27,X25,sK56(vd1092,vd14))
| vperp = vangle(X27,X25,sK56(vd1092,vd14))
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_364])]) ).
fof(f4274,plain,
( ! [X26,X27,X25] :
( vangle(sK56(vd1092,vd14),X25,X26) != vangle(X27,X25,sK56(vd1092,vd14))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(vd1092,vd14)) )
| spl84_243 ),
inference(resolution,[],[f3535,f1206]) ).
fof(f4332,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_363
| spl84_243 ),
inference(avatar_split_clause,[],[f4328,f3533,f4330,f2505,f1582]) ).
fof(f4330,plain,
( spl84_363
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd14))
| vperp = vangle(sK56(vd1092,vd14),X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_363])]) ).
fof(f4328,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(vd1092,vd14),X23,X24) )
| spl84_243 ),
inference(inner_rewriting,[],[f4273]) ).
fof(f4273,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(vd1092,vd14)) = vangle(sK56(vd1092,vd14),X23,X24) )
| spl84_243 ),
inference(resolution,[],[f3535,f1201]) ).
fof(f4327,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_362
| spl84_243 ),
inference(avatar_split_clause,[],[f4272,f3533,f4325,f2505,f1582]) ).
fof(f4325,plain,
( spl84_362
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK56(vd1092,vd14),X21) = vplus(vg(X20,X19,sK56(vd1092,vd14)),vg(sK56(vd1092,vd14),X19,X21))
| sK56(vd1092,vd14) = X19
| sK56(vd1092,vd14) = X21
| X19 = X21
| sK56(vd1092,vd14) = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_362])]) ).
fof(f4272,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(vd1092,vd14))
| X20 = X21
| X19 = X20
| sK56(vd1092,vd14) = X20
| X19 = X21
| sK56(vd1092,vd14) = X21
| sK56(vd1092,vd14) = X19
| ~ rline(sK36)
| vg(X20,sK56(vd1092,vd14),X21) = vplus(vg(X20,X19,sK56(vd1092,vd14)),vg(sK56(vd1092,vd14),X19,X21)) )
| spl84_243 ),
inference(resolution,[],[f3535,f1196]) ).
fof(f4323,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_361
| spl84_243 ),
inference(avatar_split_clause,[],[f4271,f3533,f4321,f2505,f1582]) ).
fof(f4321,plain,
( spl84_361
<=> ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,vd14),X17) != vplus(vg(X16,X18,sK56(vd1092,vd14)),vg(sK56(vd1092,vd14),X18,X17))
| rR(X18,X16,X17)
| sK56(vd1092,vd14) = X18
| sK56(vd1092,vd14) = X17
| X17 = X18
| sK56(vd1092,vd14) = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_361])]) ).
fof(f4271,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,vd14),X17) != vplus(vg(X16,X18,sK56(vd1092,vd14)),vg(sK56(vd1092,vd14),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(vd1092,vd14))
| X16 = X17
| X16 = X18
| sK56(vd1092,vd14) = X16
| X17 = X18
| sK56(vd1092,vd14) = X17
| sK56(vd1092,vd14) = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_243 ),
inference(resolution,[],[f3535,f1191]) ).
fof(f4319,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_360
| spl84_243 ),
inference(avatar_split_clause,[],[f4270,f3533,f4317,f2505,f1582]) ).
fof(f4317,plain,
( spl84_360
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK56(vd1092,vd14),sK36,X12)
| ron(sK56(vd1092,vd14),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_360])]) ).
fof(f4270,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK56(vd1092,vd14),X15)
| sP22(X14,X15,X13,sK56(vd1092,vd14),sK36,X12)
| sK36 = X15 )
| spl84_243 ),
inference(resolution,[],[f3535,f1186]) ).
fof(f4315,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_359
| spl84_243 ),
inference(avatar_split_clause,[],[f4269,f3533,f4313,f2505,f1582]) ).
fof(f4313,plain,
( spl84_359
<=> ! [X11,X10] :
( rS(X10,sK56(vd1092,vd14),sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK56(vd1092,vd14),sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_359])]) ).
fof(f4269,plain,
( ! [X10,X11] :
( rS(X10,sK56(vd1092,vd14),sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK56(vd1092,vd14),sK36)
| rS(X10,X11,sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1158]) ).
fof(f4311,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_358
| spl84_243 ),
inference(avatar_split_clause,[],[f4268,f3533,f4309,f2505,f1582]) ).
fof(f4309,plain,
( spl84_358
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(vd1092,vd14))
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_358])]) ).
fof(f4268,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(vd1092,vd14))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1141]) ).
fof(f4307,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_357
| spl84_243 ),
inference(avatar_split_clause,[],[f4267,f3533,f4305,f2505,f1582]) ).
fof(f4305,plain,
( spl84_357
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(vd1092,vd14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_357])]) ).
fof(f4267,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| ~ rR(X7,X6,sK56(vd1092,vd14))
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1133]) ).
fof(f4303,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_356
| spl84_243 ),
inference(avatar_split_clause,[],[f4266,f3533,f4301,f2505,f1582]) ).
fof(f4301,plain,
( spl84_356
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK56(vd1092,vd14),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_356])]) ).
fof(f4266,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,vd14),X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1129]) ).
fof(f4299,plain,
( ~ spl84_24
| ~ spl84_127
| spl84_355
| spl84_243 ),
inference(avatar_split_clause,[],[f4265,f3533,f4297,f2505,f1582]) ).
fof(f4297,plain,
( spl84_355
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(vd1092,vd14),X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK56(vd1092,vd14),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_355])]) ).
fof(f4265,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(vd1092,vd14))
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,vd14),X2,X3)
| ~ ron(X2,sK36)
| rS(sK56(vd1092,vd14),X3,sK36) )
| spl84_243 ),
inference(resolution,[],[f3535,f1121]) ).
fof(f4295,plain,
( spl84_354
| ~ spl84_127
| ~ spl84_24
| spl84_243 ),
inference(avatar_split_clause,[],[f4264,f3533,f1582,f2505,f4292]) ).
fof(f4292,plain,
( spl84_354
<=> rpoint(sK56(sK36,sK56(vd1092,vd14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_354])]) ).
fof(f4264,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd14))
| rpoint(sK56(sK36,sK56(vd1092,vd14)))
| spl84_243 ),
inference(resolution,[],[f3535,f1055]) ).
fof(f4290,plain,
( spl84_353
| ~ spl84_127
| ~ spl84_24
| spl84_243 ),
inference(avatar_split_clause,[],[f4263,f3533,f1582,f2505,f4287]) ).
fof(f4287,plain,
( spl84_353
<=> sP8(sK36,sK56(vd1092,vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_353])]) ).
fof(f4263,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd14))
| sP8(sK36,sK56(vd1092,vd14))
| spl84_243 ),
inference(resolution,[],[f3535,f1053]) ).
fof(f4285,plain,
( spl84_352
| ~ spl84_24
| ~ spl84_127
| spl84_243 ),
inference(avatar_split_clause,[],[f4262,f3533,f2505,f1582,f4282]) ).
fof(f4282,plain,
( spl84_352
<=> rS(sK56(vd1092,vd14),sK56(vd1092,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_352])]) ).
fof(f4262,plain,
( ~ rpoint(sK56(vd1092,vd14))
| ~ rline(sK36)
| rS(sK56(vd1092,vd14),sK56(vd1092,vd14),sK36)
| spl84_243 ),
inference(resolution,[],[f3535,f1037]) ).
fof(f4223,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_351
| spl84_219 ),
inference(avatar_split_clause,[],[f4159,f3220,f4221,f2394,f1738]) ).
fof(f1738,plain,
( spl84_49
<=> rline(vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_49])]) ).
fof(f4221,plain,
( spl84_351
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK56(sK36,vd14))
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_351])]) ).
fof(f4159,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK56(sK36,vd14)) )
| spl84_219 ),
inference(resolution,[],[f3222,f1367]) ).
fof(f3222,plain,
( ~ ron(sK56(sK36,vd14),vd1092)
| spl84_219 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f4219,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_350
| spl84_219 ),
inference(avatar_split_clause,[],[f4158,f3220,f4217,f2394,f1738]) ).
fof(f4217,plain,
( spl84_350
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK56(sK36,vd14))
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_350])]) ).
fof(f4158,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK56(sK36,vd14)) )
| spl84_219 ),
inference(resolution,[],[f3222,f1350]) ).
fof(f4215,plain,
( spl84_349
| ~ spl84_107
| ~ spl84_49
| spl84_219 ),
inference(avatar_split_clause,[],[f4156,f3220,f1738,f2394,f4213]) ).
fof(f4213,plain,
( spl84_349
<=> ! [X34,X35] :
( sP31(vd1092,sK56(sK36,vd14),X34,X35)
| ~ rS(X35,sK56(sK36,vd14),vd1092)
| ~ rpoint(X35)
| ~ rS(X34,sK56(sK36,vd14),vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_349])]) ).
fof(f4156,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd14))
| sP31(vd1092,sK56(sK36,vd14),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(sK36,vd14),vd1092)
| ~ rpoint(X35)
| ~ rS(X35,sK56(sK36,vd14),vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1297]) ).
fof(f4211,plain,
( ~ spl84_107
| ~ spl84_49
| spl84_348
| spl84_219 ),
inference(avatar_split_clause,[],[f4155,f3220,f4209,f1738,f2394]) ).
fof(f4209,plain,
( spl84_348
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(sK36,vd14),vd1092)
| ~ ron(sK56(sK36,vd14),X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,sK56(sK36,vd14),X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_348])]) ).
fof(f4155,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(sK36,vd14))
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(sK56(sK36,vd14),X30)
| ~ rS(X33,sK56(sK36,vd14),X29)
| rS(X32,sK56(sK36,vd14),vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_219 ),
inference(resolution,[],[f3222,f1254]) ).
fof(f4207,plain,
( spl84_347
| ~ spl84_107
| ~ spl84_49
| spl84_219 ),
inference(avatar_split_clause,[],[f4154,f3220,f1738,f2394,f4205]) ).
fof(f4205,plain,
( spl84_347
<=> ! [X28] :
( sP23(vd1092,sK56(sK36,vd14),X28)
| ~ rS(X28,sK56(sK36,vd14),vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_347])]) ).
fof(f4154,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd14))
| sP23(vd1092,sK56(sK36,vd14),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(sK36,vd14),vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1213]) ).
fof(f4203,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_332
| spl84_219 ),
inference(avatar_split_clause,[],[f4153,f3220,f4115,f2394,f1738]) ).
fof(f4115,plain,
( spl84_332
<=> ! [X25,X27,X26] :
( vangle(sK56(sK36,vd14),X25,X26) != vangle(X27,X25,sK56(sK36,vd14))
| vperp = vangle(X27,X25,sK56(sK36,vd14))
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_332])]) ).
fof(f4153,plain,
( ! [X26,X27,X25] :
( vangle(sK56(sK36,vd14),X25,X26) != vangle(X27,X25,sK56(sK36,vd14))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(sK36,vd14)) )
| spl84_219 ),
inference(resolution,[],[f3222,f1206]) ).
fof(f4202,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_331
| spl84_219 ),
inference(avatar_split_clause,[],[f4201,f3220,f4111,f2394,f1738]) ).
fof(f4111,plain,
( spl84_331
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd14))
| vperp = vangle(sK56(sK36,vd14),X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_331])]) ).
fof(f4201,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(sK36,vd14),X23,X24) )
| spl84_219 ),
inference(inner_rewriting,[],[f4152]) ).
fof(f4152,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(sK36,vd14)) = vangle(sK56(sK36,vd14),X23,X24) )
| spl84_219 ),
inference(resolution,[],[f3222,f1201]) ).
fof(f4200,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_330
| spl84_219 ),
inference(avatar_split_clause,[],[f4151,f3220,f4106,f2394,f1738]) ).
fof(f4106,plain,
( spl84_330
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK56(sK36,vd14),X21) = vplus(vg(X20,X19,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X19,X21))
| sK56(sK36,vd14) = X19
| sK56(sK36,vd14) = X21
| X19 = X21
| sK56(sK36,vd14) = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_330])]) ).
fof(f4151,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(sK36,vd14))
| X20 = X21
| X19 = X20
| sK56(sK36,vd14) = X20
| X19 = X21
| sK56(sK36,vd14) = X21
| sK56(sK36,vd14) = X19
| ~ rline(vd1092)
| vg(X20,sK56(sK36,vd14),X21) = vplus(vg(X20,X19,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X19,X21)) )
| spl84_219 ),
inference(resolution,[],[f3222,f1196]) ).
fof(f4199,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_329
| spl84_219 ),
inference(avatar_split_clause,[],[f4150,f3220,f4102,f2394,f1738]) ).
fof(f4102,plain,
( spl84_329
<=> ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd14),X17) != vplus(vg(X16,X18,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X18,X17))
| rR(X18,X16,X17)
| sK56(sK36,vd14) = X18
| sK56(sK36,vd14) = X17
| X17 = X18
| sK56(sK36,vd14) = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_329])]) ).
fof(f4150,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd14),X17) != vplus(vg(X16,X18,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(sK36,vd14))
| X16 = X17
| X16 = X18
| sK56(sK36,vd14) = X16
| X17 = X18
| sK56(sK36,vd14) = X17
| sK56(sK36,vd14) = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_219 ),
inference(resolution,[],[f3222,f1191]) ).
fof(f4198,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_346
| spl84_219 ),
inference(avatar_split_clause,[],[f4149,f3220,f4196,f2394,f1738]) ).
fof(f4196,plain,
( spl84_346
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,sK56(sK36,vd14),vd1092,X12)
| ron(sK56(sK36,vd14),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_346])]) ).
fof(f4149,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(sK56(sK36,vd14),X15)
| sP22(X14,X15,X13,sK56(sK36,vd14),vd1092,X12)
| vd1092 = X15 )
| spl84_219 ),
inference(resolution,[],[f3222,f1186]) ).
fof(f4194,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_345
| spl84_219 ),
inference(avatar_split_clause,[],[f4148,f3220,f4192,f2394,f1738]) ).
fof(f4192,plain,
( spl84_345
<=> ! [X11,X10] :
( rS(X10,sK56(sK36,vd14),vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,sK56(sK36,vd14),vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_345])]) ).
fof(f4148,plain,
( ! [X10,X11] :
( rS(X10,sK56(sK36,vd14),vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,sK56(sK36,vd14),vd1092)
| rS(X10,X11,vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1158]) ).
fof(f4190,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_344
| spl84_219 ),
inference(avatar_split_clause,[],[f4147,f3220,f4188,f2394,f1738]) ).
fof(f4188,plain,
( spl84_344
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(sK36,vd14))
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_344])]) ).
fof(f4147,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(sK36,vd14))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1141]) ).
fof(f4186,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_343
| spl84_219 ),
inference(avatar_split_clause,[],[f4146,f3220,f4184,f2394,f1738]) ).
fof(f4184,plain,
( spl84_343
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(sK36,vd14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_343])]) ).
fof(f4146,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| ~ rR(X7,X6,sK56(sK36,vd14))
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1133]) ).
fof(f4182,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_342
| spl84_219 ),
inference(avatar_split_clause,[],[f4145,f3220,f4180,f2394,f1738]) ).
fof(f4180,plain,
( spl84_342
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(sK56(sK36,vd14),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_342])]) ).
fof(f4145,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(sK56(sK36,vd14),X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1129]) ).
fof(f4178,plain,
( ~ spl84_49
| ~ spl84_107
| spl84_341
| spl84_219 ),
inference(avatar_split_clause,[],[f4144,f3220,f4176,f2394,f1738]) ).
fof(f4176,plain,
( spl84_341
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(sK36,vd14),X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(sK56(sK36,vd14),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_341])]) ).
fof(f4144,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(sK56(sK36,vd14),X2,X3)
| ~ ron(X2,vd1092)
| rS(sK56(sK36,vd14),X3,vd1092) )
| spl84_219 ),
inference(resolution,[],[f3222,f1121]) ).
fof(f4174,plain,
( spl84_340
| ~ spl84_107
| ~ spl84_49
| spl84_219 ),
inference(avatar_split_clause,[],[f4143,f3220,f1738,f2394,f4171]) ).
fof(f4171,plain,
( spl84_340
<=> rpoint(sK56(vd1092,sK56(sK36,vd14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_340])]) ).
fof(f4143,plain,
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd14))
| rpoint(sK56(vd1092,sK56(sK36,vd14)))
| spl84_219 ),
inference(resolution,[],[f3222,f1055]) ).
fof(f4169,plain,
( spl84_339
| ~ spl84_107
| ~ spl84_49
| spl84_219 ),
inference(avatar_split_clause,[],[f4142,f3220,f1738,f2394,f4166]) ).
fof(f4166,plain,
( spl84_339
<=> sP8(vd1092,sK56(sK36,vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_339])]) ).
fof(f4142,plain,
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd14))
| sP8(vd1092,sK56(sK36,vd14))
| spl84_219 ),
inference(resolution,[],[f3222,f1053]) ).
fof(f4164,plain,
( spl84_338
| ~ spl84_49
| ~ spl84_107
| spl84_219 ),
inference(avatar_split_clause,[],[f4141,f3220,f2394,f1738,f4161]) ).
fof(f4161,plain,
( spl84_338
<=> rS(sK56(sK36,vd14),sK56(sK36,vd14),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_338])]) ).
fof(f4141,plain,
( ~ rpoint(sK56(sK36,vd14))
| ~ rline(vd1092)
| rS(sK56(sK36,vd14),sK56(sK36,vd14),vd1092)
| spl84_219 ),
inference(resolution,[],[f3222,f1037]) ).
fof(f4137,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_337
| spl84_218 ),
inference(avatar_split_clause,[],[f4061,f3216,f4135,f2394,f1582]) ).
fof(f4135,plain,
( spl84_337
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(sK36,vd14))
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_337])]) ).
fof(f4061,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(sK36,vd14)) )
| spl84_218 ),
inference(resolution,[],[f3218,f1367]) ).
fof(f3218,plain,
( ~ ron(sK56(sK36,vd14),sK36)
| spl84_218 ),
inference(avatar_component_clause,[],[f3216]) ).
fof(f4133,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_336
| spl84_218 ),
inference(avatar_split_clause,[],[f4060,f3216,f4131,f2394,f1582]) ).
fof(f4131,plain,
( spl84_336
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(sK36,vd14))
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_336])]) ).
fof(f4060,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(sK36,vd14)) )
| spl84_218 ),
inference(resolution,[],[f3218,f1350]) ).
fof(f4129,plain,
( spl84_335
| ~ spl84_107
| ~ spl84_24
| spl84_218 ),
inference(avatar_split_clause,[],[f4058,f3216,f1582,f2394,f4127]) ).
fof(f4127,plain,
( spl84_335
<=> ! [X34,X35] :
( sP31(sK36,sK56(sK36,vd14),X34,X35)
| ~ rS(X35,sK56(sK36,vd14),sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK56(sK36,vd14),sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_335])]) ).
fof(f4058,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd14))
| sP31(sK36,sK56(sK36,vd14),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(sK36,vd14),sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK56(sK36,vd14),sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1297]) ).
fof(f4125,plain,
( ~ spl84_107
| ~ spl84_24
| spl84_334
| spl84_218 ),
inference(avatar_split_clause,[],[f4057,f3216,f4123,f1582,f2394]) ).
fof(f4123,plain,
( spl84_334
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(sK36,vd14),sK36)
| ~ ron(sK56(sK36,vd14),X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK56(sK36,vd14),X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_334])]) ).
fof(f4057,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(sK36,vd14))
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK56(sK36,vd14),X30)
| ~ rS(X33,sK56(sK36,vd14),X29)
| rS(X32,sK56(sK36,vd14),sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_218 ),
inference(resolution,[],[f3218,f1254]) ).
fof(f4121,plain,
( spl84_333
| ~ spl84_107
| ~ spl84_24
| spl84_218 ),
inference(avatar_split_clause,[],[f4056,f3216,f1582,f2394,f4119]) ).
fof(f4119,plain,
( spl84_333
<=> ! [X28] :
( sP23(sK36,sK56(sK36,vd14),X28)
| ~ rS(X28,sK56(sK36,vd14),sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_333])]) ).
fof(f4056,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd14))
| sP23(sK36,sK56(sK36,vd14),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(sK36,vd14),sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1213]) ).
fof(f4117,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_332
| spl84_218 ),
inference(avatar_split_clause,[],[f4055,f3216,f4115,f2394,f1582]) ).
fof(f4055,plain,
( ! [X26,X27,X25] :
( vangle(sK56(sK36,vd14),X25,X26) != vangle(X27,X25,sK56(sK36,vd14))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(sK36,vd14)) )
| spl84_218 ),
inference(resolution,[],[f3218,f1206]) ).
fof(f4113,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_331
| spl84_218 ),
inference(avatar_split_clause,[],[f4109,f3216,f4111,f2394,f1582]) ).
fof(f4109,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(sK36,vd14),X23,X24) )
| spl84_218 ),
inference(inner_rewriting,[],[f4054]) ).
fof(f4054,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd14))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(sK36,vd14)) = vangle(sK56(sK36,vd14),X23,X24) )
| spl84_218 ),
inference(resolution,[],[f3218,f1201]) ).
fof(f4108,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_330
| spl84_218 ),
inference(avatar_split_clause,[],[f4053,f3216,f4106,f2394,f1582]) ).
fof(f4053,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(sK36,vd14))
| X20 = X21
| X19 = X20
| sK56(sK36,vd14) = X20
| X19 = X21
| sK56(sK36,vd14) = X21
| sK56(sK36,vd14) = X19
| ~ rline(sK36)
| vg(X20,sK56(sK36,vd14),X21) = vplus(vg(X20,X19,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X19,X21)) )
| spl84_218 ),
inference(resolution,[],[f3218,f1196]) ).
fof(f4104,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_329
| spl84_218 ),
inference(avatar_split_clause,[],[f4052,f3216,f4102,f2394,f1582]) ).
fof(f4052,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd14),X17) != vplus(vg(X16,X18,sK56(sK36,vd14)),vg(sK56(sK36,vd14),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(sK36,vd14))
| X16 = X17
| X16 = X18
| sK56(sK36,vd14) = X16
| X17 = X18
| sK56(sK36,vd14) = X17
| sK56(sK36,vd14) = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_218 ),
inference(resolution,[],[f3218,f1191]) ).
fof(f4100,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_328
| spl84_218 ),
inference(avatar_split_clause,[],[f4051,f3216,f4098,f2394,f1582]) ).
fof(f4098,plain,
( spl84_328
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK56(sK36,vd14),sK36,X12)
| ron(sK56(sK36,vd14),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_328])]) ).
fof(f4051,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK56(sK36,vd14),X15)
| sP22(X14,X15,X13,sK56(sK36,vd14),sK36,X12)
| sK36 = X15 )
| spl84_218 ),
inference(resolution,[],[f3218,f1186]) ).
fof(f4096,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_327
| spl84_218 ),
inference(avatar_split_clause,[],[f4050,f3216,f4094,f2394,f1582]) ).
fof(f4094,plain,
( spl84_327
<=> ! [X11,X10] :
( rS(X10,sK56(sK36,vd14),sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK56(sK36,vd14),sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_327])]) ).
fof(f4050,plain,
( ! [X10,X11] :
( rS(X10,sK56(sK36,vd14),sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK56(sK36,vd14),sK36)
| rS(X10,X11,sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1158]) ).
fof(f4092,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_326
| spl84_218 ),
inference(avatar_split_clause,[],[f4049,f3216,f4090,f2394,f1582]) ).
fof(f4090,plain,
( spl84_326
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(sK36,vd14))
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_326])]) ).
fof(f4049,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(sK36,vd14))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1141]) ).
fof(f4088,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_325
| spl84_218 ),
inference(avatar_split_clause,[],[f4048,f3216,f4086,f2394,f1582]) ).
fof(f4086,plain,
( spl84_325
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(sK36,vd14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_325])]) ).
fof(f4048,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| ~ rR(X7,X6,sK56(sK36,vd14))
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1133]) ).
fof(f4084,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_324
| spl84_218 ),
inference(avatar_split_clause,[],[f4047,f3216,f4082,f2394,f1582]) ).
fof(f4082,plain,
( spl84_324
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK56(sK36,vd14),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_324])]) ).
fof(f4047,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK56(sK36,vd14),X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1129]) ).
fof(f4080,plain,
( ~ spl84_24
| ~ spl84_107
| spl84_323
| spl84_218 ),
inference(avatar_split_clause,[],[f4046,f3216,f4078,f2394,f1582]) ).
fof(f4078,plain,
( spl84_323
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(sK36,vd14),X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK56(sK36,vd14),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_323])]) ).
fof(f4046,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(sK36,vd14))
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK56(sK36,vd14),X2,X3)
| ~ ron(X2,sK36)
| rS(sK56(sK36,vd14),X3,sK36) )
| spl84_218 ),
inference(resolution,[],[f3218,f1121]) ).
fof(f4076,plain,
( spl84_322
| ~ spl84_107
| ~ spl84_24
| spl84_218 ),
inference(avatar_split_clause,[],[f4045,f3216,f1582,f2394,f4073]) ).
fof(f4073,plain,
( spl84_322
<=> rpoint(sK56(sK36,sK56(sK36,vd14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_322])]) ).
fof(f4045,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd14))
| rpoint(sK56(sK36,sK56(sK36,vd14)))
| spl84_218 ),
inference(resolution,[],[f3218,f1055]) ).
fof(f4071,plain,
( spl84_321
| ~ spl84_107
| ~ spl84_24
| spl84_218 ),
inference(avatar_split_clause,[],[f4044,f3216,f1582,f2394,f4068]) ).
fof(f4068,plain,
( spl84_321
<=> sP8(sK36,sK56(sK36,vd14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_321])]) ).
fof(f4044,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd14))
| sP8(sK36,sK56(sK36,vd14))
| spl84_218 ),
inference(resolution,[],[f3218,f1053]) ).
fof(f4066,plain,
( spl84_320
| ~ spl84_24
| ~ spl84_107
| spl84_218 ),
inference(avatar_split_clause,[],[f4043,f3216,f2394,f1582,f4063]) ).
fof(f4063,plain,
( spl84_320
<=> rS(sK56(sK36,vd14),sK56(sK36,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_320])]) ).
fof(f4043,plain,
( ~ rpoint(sK56(sK36,vd14))
| ~ rline(sK36)
| rS(sK56(sK36,vd14),sK56(sK36,vd14),sK36)
| spl84_218 ),
inference(resolution,[],[f3218,f1037]) ).
fof(f4038,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_319
| spl84_204 ),
inference(avatar_split_clause,[],[f3974,f3077,f4036,f2256,f1738]) ).
fof(f4036,plain,
( spl84_319
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK56(sK36,vd1086))
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_319])]) ).
fof(f3974,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK56(sK36,vd1086)) )
| spl84_204 ),
inference(resolution,[],[f3079,f1367]) ).
fof(f3079,plain,
( ~ ron(sK56(sK36,vd1086),vd1092)
| spl84_204 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f4034,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_318
| spl84_204 ),
inference(avatar_split_clause,[],[f3973,f3077,f4032,f2256,f1738]) ).
fof(f4032,plain,
( spl84_318
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK56(sK36,vd1086))
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_318])]) ).
fof(f3973,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK56(sK36,vd1086)) )
| spl84_204 ),
inference(resolution,[],[f3079,f1350]) ).
fof(f4030,plain,
( spl84_317
| ~ spl84_90
| ~ spl84_49
| spl84_204 ),
inference(avatar_split_clause,[],[f3971,f3077,f1738,f2256,f4028]) ).
fof(f4028,plain,
( spl84_317
<=> ! [X34,X35] :
( sP31(vd1092,sK56(sK36,vd1086),X34,X35)
| ~ rS(X35,sK56(sK36,vd1086),vd1092)
| ~ rpoint(X35)
| ~ rS(X34,sK56(sK36,vd1086),vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_317])]) ).
fof(f3971,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd1086))
| sP31(vd1092,sK56(sK36,vd1086),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(sK36,vd1086),vd1092)
| ~ rpoint(X35)
| ~ rS(X35,sK56(sK36,vd1086),vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1297]) ).
fof(f4026,plain,
( ~ spl84_90
| ~ spl84_49
| spl84_316
| spl84_204 ),
inference(avatar_split_clause,[],[f3970,f3077,f4024,f1738,f2256]) ).
fof(f4024,plain,
( spl84_316
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(sK36,vd1086),vd1092)
| ~ ron(sK56(sK36,vd1086),X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,sK56(sK36,vd1086),X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_316])]) ).
fof(f3970,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(sK36,vd1086))
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(sK56(sK36,vd1086),X30)
| ~ rS(X33,sK56(sK36,vd1086),X29)
| rS(X32,sK56(sK36,vd1086),vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_204 ),
inference(resolution,[],[f3079,f1254]) ).
fof(f4022,plain,
( spl84_315
| ~ spl84_90
| ~ spl84_49
| spl84_204 ),
inference(avatar_split_clause,[],[f3969,f3077,f1738,f2256,f4020]) ).
fof(f4020,plain,
( spl84_315
<=> ! [X28] :
( sP23(vd1092,sK56(sK36,vd1086),X28)
| ~ rS(X28,sK56(sK36,vd1086),vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_315])]) ).
fof(f3969,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd1086))
| sP23(vd1092,sK56(sK36,vd1086),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(sK36,vd1086),vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1213]) ).
fof(f4018,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_300
| spl84_204 ),
inference(avatar_split_clause,[],[f3968,f3077,f3928,f2256,f1738]) ).
fof(f3928,plain,
( spl84_300
<=> ! [X25,X27,X26] :
( vangle(sK56(sK36,vd1086),X25,X26) != vangle(X27,X25,sK56(sK36,vd1086))
| vperp = vangle(X27,X25,sK56(sK36,vd1086))
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_300])]) ).
fof(f3968,plain,
( ! [X26,X27,X25] :
( vangle(sK56(sK36,vd1086),X25,X26) != vangle(X27,X25,sK56(sK36,vd1086))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(sK36,vd1086)) )
| spl84_204 ),
inference(resolution,[],[f3079,f1206]) ).
fof(f4017,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_299
| spl84_204 ),
inference(avatar_split_clause,[],[f4016,f3077,f3924,f2256,f1738]) ).
fof(f3924,plain,
( spl84_299
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd1086))
| vperp = vangle(sK56(sK36,vd1086),X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_299])]) ).
fof(f4016,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(sK36,vd1086),X23,X24) )
| spl84_204 ),
inference(inner_rewriting,[],[f3967]) ).
fof(f3967,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(sK36,vd1086)) = vangle(sK56(sK36,vd1086),X23,X24) )
| spl84_204 ),
inference(resolution,[],[f3079,f1201]) ).
fof(f4015,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_298
| spl84_204 ),
inference(avatar_split_clause,[],[f3966,f3077,f3919,f2256,f1738]) ).
fof(f3919,plain,
( spl84_298
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK56(sK36,vd1086),X21) = vplus(vg(X20,X19,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X19,X21))
| sK56(sK36,vd1086) = X19
| sK56(sK36,vd1086) = X21
| X19 = X21
| sK56(sK36,vd1086) = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_298])]) ).
fof(f3966,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(sK36,vd1086))
| X20 = X21
| X19 = X20
| sK56(sK36,vd1086) = X20
| X19 = X21
| sK56(sK36,vd1086) = X21
| sK56(sK36,vd1086) = X19
| ~ rline(vd1092)
| vg(X20,sK56(sK36,vd1086),X21) = vplus(vg(X20,X19,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X19,X21)) )
| spl84_204 ),
inference(resolution,[],[f3079,f1196]) ).
fof(f4014,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_297
| spl84_204 ),
inference(avatar_split_clause,[],[f3965,f3077,f3915,f2256,f1738]) ).
fof(f3915,plain,
( spl84_297
<=> ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd1086),X17) != vplus(vg(X16,X18,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X18,X17))
| rR(X18,X16,X17)
| sK56(sK36,vd1086) = X18
| sK56(sK36,vd1086) = X17
| X17 = X18
| sK56(sK36,vd1086) = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_297])]) ).
fof(f3965,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd1086),X17) != vplus(vg(X16,X18,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(sK36,vd1086))
| X16 = X17
| X16 = X18
| sK56(sK36,vd1086) = X16
| X17 = X18
| sK56(sK36,vd1086) = X17
| sK56(sK36,vd1086) = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_204 ),
inference(resolution,[],[f3079,f1191]) ).
fof(f4013,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_314
| spl84_204 ),
inference(avatar_split_clause,[],[f3964,f3077,f4011,f2256,f1738]) ).
fof(f4011,plain,
( spl84_314
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,sK56(sK36,vd1086),vd1092,X12)
| ron(sK56(sK36,vd1086),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_314])]) ).
fof(f3964,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(sK56(sK36,vd1086),X15)
| sP22(X14,X15,X13,sK56(sK36,vd1086),vd1092,X12)
| vd1092 = X15 )
| spl84_204 ),
inference(resolution,[],[f3079,f1186]) ).
fof(f4009,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_313
| spl84_204 ),
inference(avatar_split_clause,[],[f3963,f3077,f4007,f2256,f1738]) ).
fof(f4007,plain,
( spl84_313
<=> ! [X11,X10] :
( rS(X10,sK56(sK36,vd1086),vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,sK56(sK36,vd1086),vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_313])]) ).
fof(f3963,plain,
( ! [X10,X11] :
( rS(X10,sK56(sK36,vd1086),vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,sK56(sK36,vd1086),vd1092)
| rS(X10,X11,vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1158]) ).
fof(f4005,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_312
| spl84_204 ),
inference(avatar_split_clause,[],[f3962,f3077,f4003,f2256,f1738]) ).
fof(f4003,plain,
( spl84_312
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(sK36,vd1086))
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_312])]) ).
fof(f3962,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(sK36,vd1086))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1141]) ).
fof(f4001,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_311
| spl84_204 ),
inference(avatar_split_clause,[],[f3961,f3077,f3999,f2256,f1738]) ).
fof(f3999,plain,
( spl84_311
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(sK36,vd1086)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_311])]) ).
fof(f3961,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| ~ rR(X7,X6,sK56(sK36,vd1086))
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1133]) ).
fof(f3997,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_310
| spl84_204 ),
inference(avatar_split_clause,[],[f3960,f3077,f3995,f2256,f1738]) ).
fof(f3995,plain,
( spl84_310
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(sK56(sK36,vd1086),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_310])]) ).
fof(f3960,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(sK56(sK36,vd1086),X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1129]) ).
fof(f3993,plain,
( ~ spl84_49
| ~ spl84_90
| spl84_309
| spl84_204 ),
inference(avatar_split_clause,[],[f3959,f3077,f3991,f2256,f1738]) ).
fof(f3991,plain,
( spl84_309
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(sK36,vd1086),X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(sK56(sK36,vd1086),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_309])]) ).
fof(f3959,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(sK56(sK36,vd1086),X2,X3)
| ~ ron(X2,vd1092)
| rS(sK56(sK36,vd1086),X3,vd1092) )
| spl84_204 ),
inference(resolution,[],[f3079,f1121]) ).
fof(f3989,plain,
( spl84_308
| ~ spl84_90
| ~ spl84_49
| spl84_204 ),
inference(avatar_split_clause,[],[f3958,f3077,f1738,f2256,f3986]) ).
fof(f3986,plain,
( spl84_308
<=> rpoint(sK56(vd1092,sK56(sK36,vd1086))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_308])]) ).
fof(f3958,plain,
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd1086))
| rpoint(sK56(vd1092,sK56(sK36,vd1086)))
| spl84_204 ),
inference(resolution,[],[f3079,f1055]) ).
fof(f3984,plain,
( spl84_307
| ~ spl84_90
| ~ spl84_49
| spl84_204 ),
inference(avatar_split_clause,[],[f3957,f3077,f1738,f2256,f3981]) ).
fof(f3981,plain,
( spl84_307
<=> sP8(vd1092,sK56(sK36,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_307])]) ).
fof(f3957,plain,
( ~ rline(vd1092)
| ~ rpoint(sK56(sK36,vd1086))
| sP8(vd1092,sK56(sK36,vd1086))
| spl84_204 ),
inference(resolution,[],[f3079,f1053]) ).
fof(f3979,plain,
( spl84_306
| ~ spl84_49
| ~ spl84_90
| spl84_204 ),
inference(avatar_split_clause,[],[f3956,f3077,f2256,f1738,f3976]) ).
fof(f3976,plain,
( spl84_306
<=> rS(sK56(sK36,vd1086),sK56(sK36,vd1086),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_306])]) ).
fof(f3956,plain,
( ~ rpoint(sK56(sK36,vd1086))
| ~ rline(vd1092)
| rS(sK56(sK36,vd1086),sK56(sK36,vd1086),vd1092)
| spl84_204 ),
inference(resolution,[],[f3079,f1037]) ).
fof(f3950,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_305
| spl84_203 ),
inference(avatar_split_clause,[],[f3874,f3073,f3948,f2256,f1582]) ).
fof(f3948,plain,
( spl84_305
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(sK36,vd1086))
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_305])]) ).
fof(f3874,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(sK36,vd1086)) )
| spl84_203 ),
inference(resolution,[],[f3075,f1367]) ).
fof(f3075,plain,
( ~ ron(sK56(sK36,vd1086),sK36)
| spl84_203 ),
inference(avatar_component_clause,[],[f3073]) ).
fof(f3946,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_304
| spl84_203 ),
inference(avatar_split_clause,[],[f3873,f3073,f3944,f2256,f1582]) ).
fof(f3944,plain,
( spl84_304
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(sK36,vd1086))
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_304])]) ).
fof(f3873,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(sK36,vd1086)) )
| spl84_203 ),
inference(resolution,[],[f3075,f1350]) ).
fof(f3942,plain,
( spl84_303
| ~ spl84_90
| ~ spl84_24
| spl84_203 ),
inference(avatar_split_clause,[],[f3871,f3073,f1582,f2256,f3940]) ).
fof(f3940,plain,
( spl84_303
<=> ! [X34,X35] :
( sP31(sK36,sK56(sK36,vd1086),X34,X35)
| ~ rS(X35,sK56(sK36,vd1086),sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK56(sK36,vd1086),sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_303])]) ).
fof(f3871,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd1086))
| sP31(sK36,sK56(sK36,vd1086),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(sK36,vd1086),sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK56(sK36,vd1086),sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1297]) ).
fof(f3938,plain,
( ~ spl84_90
| ~ spl84_24
| spl84_302
| spl84_203 ),
inference(avatar_split_clause,[],[f3870,f3073,f3936,f1582,f2256]) ).
fof(f3936,plain,
( spl84_302
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(sK36,vd1086),sK36)
| ~ ron(sK56(sK36,vd1086),X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK56(sK36,vd1086),X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_302])]) ).
fof(f3870,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(sK36,vd1086))
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK56(sK36,vd1086),X30)
| ~ rS(X33,sK56(sK36,vd1086),X29)
| rS(X32,sK56(sK36,vd1086),sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_203 ),
inference(resolution,[],[f3075,f1254]) ).
fof(f3934,plain,
( spl84_301
| ~ spl84_90
| ~ spl84_24
| spl84_203 ),
inference(avatar_split_clause,[],[f3869,f3073,f1582,f2256,f3932]) ).
fof(f3932,plain,
( spl84_301
<=> ! [X28] :
( sP23(sK36,sK56(sK36,vd1086),X28)
| ~ rS(X28,sK56(sK36,vd1086),sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_301])]) ).
fof(f3869,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd1086))
| sP23(sK36,sK56(sK36,vd1086),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(sK36,vd1086),sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1213]) ).
fof(f3930,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_300
| spl84_203 ),
inference(avatar_split_clause,[],[f3868,f3073,f3928,f2256,f1582]) ).
fof(f3868,plain,
( ! [X26,X27,X25] :
( vangle(sK56(sK36,vd1086),X25,X26) != vangle(X27,X25,sK56(sK36,vd1086))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(sK36,vd1086)) )
| spl84_203 ),
inference(resolution,[],[f3075,f1206]) ).
fof(f3926,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_299
| spl84_203 ),
inference(avatar_split_clause,[],[f3922,f3073,f3924,f2256,f1582]) ).
fof(f3922,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(sK36,vd1086),X23,X24) )
| spl84_203 ),
inference(inner_rewriting,[],[f3867]) ).
fof(f3867,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(sK36,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(sK36,vd1086)) = vangle(sK56(sK36,vd1086),X23,X24) )
| spl84_203 ),
inference(resolution,[],[f3075,f1201]) ).
fof(f3921,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_298
| spl84_203 ),
inference(avatar_split_clause,[],[f3866,f3073,f3919,f2256,f1582]) ).
fof(f3866,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(sK36,vd1086))
| X20 = X21
| X19 = X20
| sK56(sK36,vd1086) = X20
| X19 = X21
| sK56(sK36,vd1086) = X21
| sK56(sK36,vd1086) = X19
| ~ rline(sK36)
| vg(X20,sK56(sK36,vd1086),X21) = vplus(vg(X20,X19,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X19,X21)) )
| spl84_203 ),
inference(resolution,[],[f3075,f1196]) ).
fof(f3917,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_297
| spl84_203 ),
inference(avatar_split_clause,[],[f3865,f3073,f3915,f2256,f1582]) ).
fof(f3865,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(sK36,vd1086),X17) != vplus(vg(X16,X18,sK56(sK36,vd1086)),vg(sK56(sK36,vd1086),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(sK36,vd1086))
| X16 = X17
| X16 = X18
| sK56(sK36,vd1086) = X16
| X17 = X18
| sK56(sK36,vd1086) = X17
| sK56(sK36,vd1086) = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_203 ),
inference(resolution,[],[f3075,f1191]) ).
fof(f3913,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_296
| spl84_203 ),
inference(avatar_split_clause,[],[f3864,f3073,f3911,f2256,f1582]) ).
fof(f3911,plain,
( spl84_296
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK56(sK36,vd1086),sK36,X12)
| ron(sK56(sK36,vd1086),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_296])]) ).
fof(f3864,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK56(sK36,vd1086),X15)
| sP22(X14,X15,X13,sK56(sK36,vd1086),sK36,X12)
| sK36 = X15 )
| spl84_203 ),
inference(resolution,[],[f3075,f1186]) ).
fof(f3909,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_295
| spl84_203 ),
inference(avatar_split_clause,[],[f3863,f3073,f3907,f2256,f1582]) ).
fof(f3907,plain,
( spl84_295
<=> ! [X11,X10] :
( rS(X10,sK56(sK36,vd1086),sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK56(sK36,vd1086),sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_295])]) ).
fof(f3863,plain,
( ! [X10,X11] :
( rS(X10,sK56(sK36,vd1086),sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK56(sK36,vd1086),sK36)
| rS(X10,X11,sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1158]) ).
fof(f3905,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_294
| spl84_203 ),
inference(avatar_split_clause,[],[f3862,f3073,f3903,f2256,f1582]) ).
fof(f3903,plain,
( spl84_294
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(sK36,vd1086))
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_294])]) ).
fof(f3862,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(sK36,vd1086))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1141]) ).
fof(f3901,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_293
| spl84_203 ),
inference(avatar_split_clause,[],[f3861,f3073,f3899,f2256,f1582]) ).
fof(f3899,plain,
( spl84_293
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(sK36,vd1086)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_293])]) ).
fof(f3861,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| ~ rR(X7,X6,sK56(sK36,vd1086))
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1133]) ).
fof(f3897,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_292
| spl84_203 ),
inference(avatar_split_clause,[],[f3860,f3073,f3895,f2256,f1582]) ).
fof(f3895,plain,
( spl84_292
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK56(sK36,vd1086),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_292])]) ).
fof(f3860,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK56(sK36,vd1086),X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1129]) ).
fof(f3893,plain,
( ~ spl84_24
| ~ spl84_90
| spl84_291
| spl84_203 ),
inference(avatar_split_clause,[],[f3859,f3073,f3891,f2256,f1582]) ).
fof(f3891,plain,
( spl84_291
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(sK36,vd1086),X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK56(sK36,vd1086),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_291])]) ).
fof(f3859,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(sK36,vd1086))
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK56(sK36,vd1086),X2,X3)
| ~ ron(X2,sK36)
| rS(sK56(sK36,vd1086),X3,sK36) )
| spl84_203 ),
inference(resolution,[],[f3075,f1121]) ).
fof(f3889,plain,
( spl84_290
| ~ spl84_90
| ~ spl84_24
| spl84_203 ),
inference(avatar_split_clause,[],[f3858,f3073,f1582,f2256,f3886]) ).
fof(f3886,plain,
( spl84_290
<=> rpoint(sK56(sK36,sK56(sK36,vd1086))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_290])]) ).
fof(f3858,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd1086))
| rpoint(sK56(sK36,sK56(sK36,vd1086)))
| spl84_203 ),
inference(resolution,[],[f3075,f1055]) ).
fof(f3884,plain,
( spl84_289
| ~ spl84_90
| ~ spl84_24
| spl84_203 ),
inference(avatar_split_clause,[],[f3857,f3073,f1582,f2256,f3881]) ).
fof(f3881,plain,
( spl84_289
<=> sP8(sK36,sK56(sK36,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_289])]) ).
fof(f3857,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(sK36,vd1086))
| sP8(sK36,sK56(sK36,vd1086))
| spl84_203 ),
inference(resolution,[],[f3075,f1053]) ).
fof(f3879,plain,
( spl84_288
| ~ spl84_24
| ~ spl84_90
| spl84_203 ),
inference(avatar_split_clause,[],[f3856,f3073,f2256,f1582,f3876]) ).
fof(f3876,plain,
( spl84_288
<=> rS(sK56(sK36,vd1086),sK56(sK36,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_288])]) ).
fof(f3856,plain,
( ~ rpoint(sK56(sK36,vd1086))
| ~ rline(sK36)
| rS(sK56(sK36,vd1086),sK56(sK36,vd1086),sK36)
| spl84_203 ),
inference(resolution,[],[f3075,f1037]) ).
fof(f3850,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_287
| spl84_196 ),
inference(avatar_split_clause,[],[f3774,f3019,f3848,f2098,f1582]) ).
fof(f3848,plain,
( spl84_287
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,vd1086))
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_287])]) ).
fof(f3774,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK56(vd1092,vd1086)) )
| spl84_196 ),
inference(resolution,[],[f3021,f1367]) ).
fof(f3021,plain,
( ~ ron(sK56(vd1092,vd1086),sK36)
| spl84_196 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f3846,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_286
| spl84_196 ),
inference(avatar_split_clause,[],[f3773,f3019,f3844,f2098,f1582]) ).
fof(f3844,plain,
( spl84_286
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,vd1086))
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_286])]) ).
fof(f3773,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK56(vd1092,vd1086)) )
| spl84_196 ),
inference(resolution,[],[f3021,f1350]) ).
fof(f3842,plain,
( spl84_285
| ~ spl84_70
| ~ spl84_24
| spl84_196 ),
inference(avatar_split_clause,[],[f3771,f3019,f1582,f2098,f3840]) ).
fof(f3840,plain,
( spl84_285
<=> ! [X34,X35] :
( sP31(sK36,sK56(vd1092,vd1086),X34,X35)
| ~ rS(X35,sK56(vd1092,vd1086),sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK56(vd1092,vd1086),sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_285])]) ).
fof(f3771,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd1086))
| sP31(sK36,sK56(vd1092,vd1086),X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK56(vd1092,vd1086),sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK56(vd1092,vd1086),sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1297]) ).
fof(f3838,plain,
( ~ spl84_70
| ~ spl84_24
| spl84_284
| spl84_196 ),
inference(avatar_split_clause,[],[f3770,f3019,f3836,f1582,f2098]) ).
fof(f3836,plain,
( spl84_284
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK56(vd1092,vd1086),sK36)
| ~ ron(sK56(vd1092,vd1086),X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK56(vd1092,vd1086),X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_284])]) ).
fof(f3770,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK56(vd1092,vd1086),X30)
| ~ rS(X33,sK56(vd1092,vd1086),X29)
| rS(X32,sK56(vd1092,vd1086),sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_196 ),
inference(resolution,[],[f3021,f1254]) ).
fof(f3834,plain,
( spl84_283
| ~ spl84_70
| ~ spl84_24
| spl84_196 ),
inference(avatar_split_clause,[],[f3769,f3019,f1582,f2098,f3832]) ).
fof(f3832,plain,
( spl84_283
<=> ! [X28] :
( sP23(sK36,sK56(vd1092,vd1086),X28)
| ~ rS(X28,sK56(vd1092,vd1086),sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_283])]) ).
fof(f3769,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd1086))
| sP23(sK36,sK56(vd1092,vd1086),X28)
| ~ rpoint(X28)
| ~ rS(X28,sK56(vd1092,vd1086),sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1213]) ).
fof(f3830,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_282
| spl84_196 ),
inference(avatar_split_clause,[],[f3768,f3019,f3828,f2098,f1582]) ).
fof(f3828,plain,
( spl84_282
<=> ! [X25,X27,X26] :
( vangle(sK56(vd1092,vd1086),X25,X26) != vangle(X27,X25,sK56(vd1092,vd1086))
| vperp = vangle(X27,X25,sK56(vd1092,vd1086))
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_282])]) ).
fof(f3768,plain,
( ! [X26,X27,X25] :
( vangle(sK56(vd1092,vd1086),X25,X26) != vangle(X27,X25,sK56(vd1092,vd1086))
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK56(vd1092,vd1086)) )
| spl84_196 ),
inference(resolution,[],[f3021,f1206]) ).
fof(f3826,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_281
| spl84_196 ),
inference(avatar_split_clause,[],[f3822,f3019,f3824,f2098,f1582]) ).
fof(f3824,plain,
( spl84_281
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd1086))
| vperp = vangle(sK56(vd1092,vd1086),X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_281])]) ).
fof(f3822,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK56(vd1092,vd1086),X23,X24) )
| spl84_196 ),
inference(inner_rewriting,[],[f3767]) ).
fof(f3767,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK56(vd1092,vd1086))
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK56(vd1092,vd1086)) = vangle(sK56(vd1092,vd1086),X23,X24) )
| spl84_196 ),
inference(resolution,[],[f3021,f1201]) ).
fof(f3821,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_280
| spl84_196 ),
inference(avatar_split_clause,[],[f3766,f3019,f3819,f2098,f1582]) ).
fof(f3819,plain,
( spl84_280
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK56(vd1092,vd1086),X21) = vplus(vg(X20,X19,sK56(vd1092,vd1086)),vg(sK56(vd1092,vd1086),X19,X21))
| sK56(vd1092,vd1086) = X19
| sK56(vd1092,vd1086) = X21
| X19 = X21
| sK56(vd1092,vd1086) = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_280])]) ).
fof(f3766,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK56(vd1092,vd1086))
| X20 = X21
| X19 = X20
| sK56(vd1092,vd1086) = X20
| X19 = X21
| sK56(vd1092,vd1086) = X21
| sK56(vd1092,vd1086) = X19
| ~ rline(sK36)
| vg(X20,sK56(vd1092,vd1086),X21) = vplus(vg(X20,X19,sK56(vd1092,vd1086)),vg(sK56(vd1092,vd1086),X19,X21)) )
| spl84_196 ),
inference(resolution,[],[f3021,f1196]) ).
fof(f3817,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_279
| spl84_196 ),
inference(avatar_split_clause,[],[f3765,f3019,f3815,f2098,f1582]) ).
fof(f3815,plain,
( spl84_279
<=> ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,vd1086),X17) != vplus(vg(X16,X18,sK56(vd1092,vd1086)),vg(sK56(vd1092,vd1086),X18,X17))
| rR(X18,X16,X17)
| sK56(vd1092,vd1086) = X18
| sK56(vd1092,vd1086) = X17
| X17 = X18
| sK56(vd1092,vd1086) = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_279])]) ).
fof(f3765,plain,
( ! [X18,X16,X17] :
( vg(X16,sK56(vd1092,vd1086),X17) != vplus(vg(X16,X18,sK56(vd1092,vd1086)),vg(sK56(vd1092,vd1086),X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK56(vd1092,vd1086))
| X16 = X17
| X16 = X18
| sK56(vd1092,vd1086) = X16
| X17 = X18
| sK56(vd1092,vd1086) = X17
| sK56(vd1092,vd1086) = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_196 ),
inference(resolution,[],[f3021,f1191]) ).
fof(f3813,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_278
| spl84_196 ),
inference(avatar_split_clause,[],[f3764,f3019,f3811,f2098,f1582]) ).
fof(f3811,plain,
( spl84_278
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK56(vd1092,vd1086),sK36,X12)
| ron(sK56(vd1092,vd1086),X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_278])]) ).
fof(f3764,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK56(vd1092,vd1086),X15)
| sP22(X14,X15,X13,sK56(vd1092,vd1086),sK36,X12)
| sK36 = X15 )
| spl84_196 ),
inference(resolution,[],[f3021,f1186]) ).
fof(f3809,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_277
| spl84_196 ),
inference(avatar_split_clause,[],[f3763,f3019,f3807,f2098,f1582]) ).
fof(f3807,plain,
( spl84_277
<=> ! [X11,X10] :
( rS(X10,sK56(vd1092,vd1086),sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK56(vd1092,vd1086),sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_277])]) ).
fof(f3763,plain,
( ! [X10,X11] :
( rS(X10,sK56(vd1092,vd1086),sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK56(vd1092,vd1086),sK36)
| rS(X10,X11,sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1158]) ).
fof(f3805,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_276
| spl84_196 ),
inference(avatar_split_clause,[],[f3762,f3019,f3803,f2098,f1582]) ).
fof(f3803,plain,
( spl84_276
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK56(vd1092,vd1086))
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_276])]) ).
fof(f3762,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK56(vd1092,vd1086))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1141]) ).
fof(f3801,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_275
| spl84_196 ),
inference(avatar_split_clause,[],[f3761,f3019,f3799,f2098,f1582]) ).
fof(f3799,plain,
( spl84_275
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK56(vd1092,vd1086)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_275])]) ).
fof(f3761,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| ~ rR(X7,X6,sK56(vd1092,vd1086))
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1133]) ).
fof(f3797,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_274
| spl84_196 ),
inference(avatar_split_clause,[],[f3760,f3019,f3795,f2098,f1582]) ).
fof(f3795,plain,
( spl84_274
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK56(vd1092,vd1086),X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_274])]) ).
fof(f3760,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,vd1086),X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1129]) ).
fof(f3793,plain,
( ~ spl84_24
| ~ spl84_70
| spl84_273
| spl84_196 ),
inference(avatar_split_clause,[],[f3759,f3019,f3791,f2098,f1582]) ).
fof(f3791,plain,
( spl84_273
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK56(vd1092,vd1086),X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK56(vd1092,vd1086),X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_273])]) ).
fof(f3759,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK56(vd1092,vd1086))
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK56(vd1092,vd1086),X2,X3)
| ~ ron(X2,sK36)
| rS(sK56(vd1092,vd1086),X3,sK36) )
| spl84_196 ),
inference(resolution,[],[f3021,f1121]) ).
fof(f3789,plain,
( spl84_272
| ~ spl84_70
| ~ spl84_24
| spl84_196 ),
inference(avatar_split_clause,[],[f3758,f3019,f1582,f2098,f3786]) ).
fof(f3786,plain,
( spl84_272
<=> rpoint(sK56(sK36,sK56(vd1092,vd1086))) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_272])]) ).
fof(f3758,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd1086))
| rpoint(sK56(sK36,sK56(vd1092,vd1086)))
| spl84_196 ),
inference(resolution,[],[f3021,f1055]) ).
fof(f3784,plain,
( spl84_271
| ~ spl84_70
| ~ spl84_24
| spl84_196 ),
inference(avatar_split_clause,[],[f3757,f3019,f1582,f2098,f3781]) ).
fof(f3781,plain,
( spl84_271
<=> sP8(sK36,sK56(vd1092,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_271])]) ).
fof(f3757,plain,
( ~ rline(sK36)
| ~ rpoint(sK56(vd1092,vd1086))
| sP8(sK36,sK56(vd1092,vd1086))
| spl84_196 ),
inference(resolution,[],[f3021,f1053]) ).
fof(f3779,plain,
( spl84_270
| ~ spl84_24
| ~ spl84_70
| spl84_196 ),
inference(avatar_split_clause,[],[f3756,f3019,f2098,f1582,f3776]) ).
fof(f3776,plain,
( spl84_270
<=> rS(sK56(vd1092,vd1086),sK56(vd1092,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_270])]) ).
fof(f3756,plain,
( ~ rpoint(sK56(vd1092,vd1086))
| ~ rline(sK36)
| rS(sK56(vd1092,vd1086),sK56(vd1092,vd1086),sK36)
| spl84_196 ),
inference(resolution,[],[f3021,f1037]) ).
fof(f3741,plain,
( spl84_267
| ~ spl84_268
| ~ spl84_269
| ~ spl84_7
| ~ spl84_126 ),
inference(avatar_split_clause,[],[f3727,f2500,f1463,f3738,f3734,f3731]) ).
fof(f3731,plain,
( spl84_267
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK55(vd1092,vd14) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_267])]) ).
fof(f3734,plain,
( spl84_268
<=> ron(sK55(vd1092,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_268])]) ).
fof(f3738,plain,
( spl84_269
<=> ron(sK55(vd1092,vd14),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_269])]) ).
fof(f1463,plain,
( spl84_7
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_7])]) ).
fof(f2500,plain,
( spl84_126
<=> sP8(vd1092,vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_126])]) ).
fof(f3727,plain,
( ! [X0] :
( ~ ron(sK55(vd1092,vd14),vd1092)
| ~ ron(sK55(vd1092,vd14),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK55(vd1092,vd14) = X0 )
| ~ spl84_7
| ~ spl84_126 ),
inference(resolution,[],[f3198,f1464]) ).
fof(f1464,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl84_7 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f3198,plain,
( rpoint(sK55(vd1092,vd14))
| ~ spl84_126 ),
inference(resolution,[],[f2502,f758]) ).
fof(f758,plain,
! [X0,X1] :
( ~ sP8(X0,X1)
| rpoint(sK55(X0,X1)) ),
inference(cnf_transformation,[],[f550]) ).
fof(f550,plain,
! [X0,X1] :
( ( rpoint(sK55(X0,X1))
& rS(sK55(X0,X1),X1,X0)
& sK55(X0,X1) != X1 )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f548,f549]) ).
fof(f549,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rS(X2,X1,X0)
& X1 != X2 )
=> ( rpoint(sK55(X0,X1))
& rS(sK55(X0,X1),X1,X0)
& sK55(X0,X1) != X1 ) ),
introduced(choice_axiom,[]) ).
fof(f548,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rS(X2,X1,X0)
& X1 != X2 )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f547]) ).
fof(f547,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ sP8(X0,X2) ),
inference(nnf_transformation,[],[f439]) ).
fof(f2502,plain,
( sP8(vd1092,vd14)
| ~ spl84_126 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f3726,plain,
( spl84_264
| ~ spl84_265
| ~ spl84_266
| ~ spl84_7
| ~ spl84_89 ),
inference(avatar_split_clause,[],[f3712,f2251,f1463,f3723,f3719,f3716]) ).
fof(f3716,plain,
( spl84_264
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK55(sK36,vd1086) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_264])]) ).
fof(f3719,plain,
( spl84_265
<=> ron(sK55(sK36,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_265])]) ).
fof(f3723,plain,
( spl84_266
<=> ron(sK55(sK36,vd1086),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_266])]) ).
fof(f2251,plain,
( spl84_89
<=> sP8(sK36,vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_89])]) ).
fof(f3712,plain,
( ! [X0] :
( ~ ron(sK55(sK36,vd1086),vd1092)
| ~ ron(sK55(sK36,vd1086),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK55(sK36,vd1086) = X0 )
| ~ spl84_7
| ~ spl84_89 ),
inference(resolution,[],[f3007,f1464]) ).
fof(f3007,plain,
( rpoint(sK55(sK36,vd1086))
| ~ spl84_89 ),
inference(resolution,[],[f2253,f758]) ).
fof(f2253,plain,
( sP8(sK36,vd1086)
| ~ spl84_89 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f3706,plain,
( spl84_261
| ~ spl84_262
| ~ spl84_263
| ~ spl84_7
| ~ spl84_141 ),
inference(avatar_split_clause,[],[f3692,f2638,f1463,f3703,f3699,f3696]) ).
fof(f3696,plain,
( spl84_261
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK55(vd1092,sK82) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_261])]) ).
fof(f3699,plain,
( spl84_262
<=> ron(sK55(vd1092,sK82),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_262])]) ).
fof(f3703,plain,
( spl84_263
<=> ron(sK55(vd1092,sK82),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_263])]) ).
fof(f2638,plain,
( spl84_141
<=> sP8(vd1092,sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_141])]) ).
fof(f3692,plain,
( ! [X0] :
( ~ ron(sK55(vd1092,sK82),vd1092)
| ~ ron(sK55(vd1092,sK82),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK55(vd1092,sK82) = X0 )
| ~ spl84_7
| ~ spl84_141 ),
inference(resolution,[],[f2943,f1464]) ).
fof(f2943,plain,
( rpoint(sK55(vd1092,sK82))
| ~ spl84_141 ),
inference(resolution,[],[f2640,f758]) ).
fof(f2640,plain,
( sP8(vd1092,sK82)
| ~ spl84_141 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f3691,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_235
| ~ spl84_260
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(avatar_split_clause,[],[f3684,f3649,f3548,f3407,f3383,f3688,f3418,f1586,f2088]) ).
fof(f3684,plain,
( vd684 != sK49(vd1086,vd1089)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231
| ~ spl84_233
| ~ spl84_245
| ~ spl84_256 ),
inference(superposition,[],[f983,f3659]) ).
fof(f983,plain,
! [X2,X3] :
( vf(X2,X3) != vd684
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f982]) ).
fof(f982,plain,
! [X2,X3,X1] :
( X1 = X2
| vd684 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f953]) ).
fof(f953,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vd684 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f718,f674]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f522]) ).
fof(f522,plain,
! [X0,X1] :
( ( ( v0 = vf(X0,X1)
| X0 != X1 )
& ( X0 = X1
| v0 != vf(X0,X1) ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X6,X7] :
( ( ? [X9] :
( rpoint(X9)
& X6 = X9 )
& ? [X8] :
( rpoint(X8)
& X7 = X8 ) )
=> ( vf(X6,X7) = v0
<=> X6 = X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f3677,plain,
( spl84_257
| ~ spl84_258
| ~ spl84_259
| ~ spl84_7
| ~ spl84_106 ),
inference(avatar_split_clause,[],[f3663,f2389,f1463,f3674,f3670,f3667]) ).
fof(f3667,plain,
( spl84_257
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK55(sK36,vd14) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_257])]) ).
fof(f3670,plain,
( spl84_258
<=> ron(sK55(sK36,vd14),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_258])]) ).
fof(f3674,plain,
( spl84_259
<=> ron(sK55(sK36,vd14),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_259])]) ).
fof(f2389,plain,
( spl84_106
<=> sP8(sK36,vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_106])]) ).
fof(f3663,plain,
( ! [X0] :
( ~ ron(sK55(sK36,vd14),vd1092)
| ~ ron(sK55(sK36,vd14),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK55(sK36,vd14) = X0 )
| ~ spl84_7
| ~ spl84_106 ),
inference(resolution,[],[f2939,f1464]) ).
fof(f2939,plain,
( rpoint(sK55(sK36,vd14))
| ~ spl84_106 ),
inference(resolution,[],[f2391,f758]) ).
fof(f2391,plain,
( sP8(sK36,vd14)
| ~ spl84_106 ),
inference(avatar_component_clause,[],[f2389]) ).
fof(f3653,plain,
( ~ spl84_25
| ~ spl84_68
| spl84_256
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245 ),
inference(avatar_split_clause,[],[f3646,f3548,f3412,f3407,f3649,f2088,f1586]) ).
fof(f3646,plain,
( sK49(vd1086,sK83) = sK49(vd1086,vd1089)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245 ),
inference(superposition,[],[f989,f3559]) ).
fof(f989,plain,
! [X3,X4] :
( vf(X3,X4) = sK49(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f988]) ).
fof(f988,plain,
! [X3,X1,X4] :
( sK49(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f724]) ).
fof(f724,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK49(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0,X1] :
( ( rreal(sK49(X0,X1))
& vf(X0,X1) = sK49(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f527,f528]) ).
fof(f528,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK49(X0,X1))
& vf(X0,X1) = sK49(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f527,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f260]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X24,X25] :
( ( ? [X27] :
( rpoint(X27)
& X24 = X27 )
& ? [X26] :
( rpoint(X26)
& X25 = X26 ) )
=> ? [X28] :
( rreal(X28)
& vf(X24,X25) = X28 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f3652,plain,
( ~ spl84_25
| ~ spl84_68
| spl84_256
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245 ),
inference(avatar_split_clause,[],[f3643,f3548,f3412,f3407,f3649,f2088,f1586]) ).
fof(f3643,plain,
( sK49(vd1086,sK83) = sK49(vd1086,vd1089)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl84_233
| ~ spl84_234
| ~ spl84_245 ),
inference(superposition,[],[f3559,f989]) ).
fof(f3642,plain,
( spl84_253
| ~ spl84_254
| ~ spl84_255
| ~ spl84_7
| ~ spl84_69 ),
inference(avatar_split_clause,[],[f3628,f2093,f1463,f3639,f3635,f3632]) ).
fof(f3632,plain,
( spl84_253
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK55(vd1092,vd1086) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_253])]) ).
fof(f3635,plain,
( spl84_254
<=> ron(sK55(vd1092,vd1086),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_254])]) ).
fof(f3639,plain,
( spl84_255
<=> ron(sK55(vd1092,vd1086),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_255])]) ).
fof(f2093,plain,
( spl84_69
<=> sP8(vd1092,vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_69])]) ).
fof(f3628,plain,
( ! [X0] :
( ~ ron(sK55(vd1092,vd1086),vd1092)
| ~ ron(sK55(vd1092,vd1086),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK55(vd1092,vd1086) = X0 )
| ~ spl84_7
| ~ spl84_69 ),
inference(resolution,[],[f2935,f1464]) ).
fof(f2935,plain,
( rpoint(sK55(vd1092,vd1086))
| ~ spl84_69 ),
inference(resolution,[],[f2095,f758]) ).
fof(f2095,plain,
( sP8(vd1092,vd1086)
| ~ spl84_69 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f3623,plain,
( spl84_250
| ~ spl84_251
| ~ spl84_252
| ~ spl84_7
| ~ spl84_142 ),
inference(avatar_split_clause,[],[f3609,f2643,f1463,f3620,f3616,f3613]) ).
fof(f3613,plain,
( spl84_250
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK56(vd1092,sK82) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_250])]) ).
fof(f3620,plain,
( spl84_252
<=> ron(sK56(vd1092,sK82),vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_252])]) ).
fof(f3609,plain,
( ! [X0] :
( ~ ron(sK56(vd1092,sK82),vd1092)
| ~ ron(sK56(vd1092,sK82),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK56(vd1092,sK82) = X0 )
| ~ spl84_7
| ~ spl84_142 ),
inference(resolution,[],[f2645,f1464]) ).
fof(f2645,plain,
( rpoint(sK56(vd1092,sK82))
| ~ spl84_142 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f3592,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_249
| ~ spl84_139 ),
inference(avatar_split_clause,[],[f3570,f2629,f3590,f2633,f1738]) ).
fof(f2633,plain,
( spl84_140
<=> rpoint(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_140])]) ).
fof(f3590,plain,
( spl84_249
<=> ! [X17,X14,X18,X16,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(sK82,X16,X17),vangle(X16,X17,sK82)),vplus(vperp,vperp))
| rS(X14,sK82,vd1092)
| X16 = X17
| ~ ron(X16,vd1092)
| ~ ron(sK82,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(sK82,X18)
| ~ ron(X17,X18)
| ~ ron(X17,vd1092)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_249])]) ).
fof(f2629,plain,
( spl84_139
<=> rS(sK82,sK82,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_139])]) ).
fof(f3570,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(sK82)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(sK82,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(sK82,X18)
| X16 = X17
| rS(X14,sK82,vd1092)
| ~ rless(vplus(vangle(sK82,X16,X17),vangle(X16,X17,sK82)),vplus(vperp,vperp)) )
| ~ spl84_139 ),
inference(duplicate_literal_removal,[],[f3569]) ).
fof(f3569,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(sK82)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(sK82)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(sK82,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(sK82,X18)
| X16 = X17
| rS(X14,sK82,vd1092)
| ~ rless(vplus(vangle(sK82,X16,X17),vangle(X16,X17,sK82)),vplus(vperp,vperp)) )
| ~ spl84_139 ),
inference(resolution,[],[f2631,f1333]) ).
fof(f1333,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( ~ rS(X8,X11,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| rS(X12,X8,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1332]) ).
fof(f1332,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1331]) ).
fof(f1331,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X13)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1330]) ).
fof(f1330,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X5)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1329]) ).
fof(f1329,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1328]) ).
fof(f1328,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1327]) ).
fof(f1327,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1326]) ).
fof(f1326,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f921]) ).
fof(f921,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(flattening,[],[f419]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X9] :
( rpoint(X9)
& X1 = X9 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rline(X13)
& X5 = X13 )
& ? [X14] :
( rline(X14)
& X6 = X14 )
& ? [X15] :
( rline(X15)
& X7 = X15 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X1,X6)
& ron(X2,X6)
& ron(X2,X7)
& ron(X3,X7)
& X1 != X2
& rS(X0,X3,X6)
& rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
=> ( rintersect(X5,X6)
& ( ( ron(X4,X5)
& ron(X4,X6) )
=> rS(X4,X0,X6) ) ) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X621,X622,X623,X624,X625,X626,X627,X628] :
( ( ? [X636] :
( rpoint(X636)
& X621 = X636 )
& ? [X635] :
( rpoint(X635)
& X622 = X635 )
& ? [X634] :
( rpoint(X634)
& X623 = X634 )
& ? [X633] :
( rpoint(X633)
& X624 = X633 )
& ? [X632] :
( rpoint(X632)
& X625 = X632 )
& ? [X631] :
( rline(X631)
& X626 = X631 )
& ? [X630] :
( rline(X630)
& X627 = X630 )
& ? [X629] :
( rline(X629)
& X628 = X629 )
& ron(X621,X626)
& ron(X622,X626)
& ron(X622,X627)
& ron(X623,X627)
& ron(X623,X628)
& ron(X624,X628)
& X622 != X623
& rS(X621,X624,X627)
& rless(vplus(vangle(X621,X622,X623),vangle(X622,X623,X624)),vplus(vperp,vperp)) )
=> ( rintersect(X626,X627)
& ( ( ron(X625,X626)
& ron(X625,X627) )
=> rS(X625,X621,X627) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f2631,plain,
( rS(sK82,sK82,vd1092)
| ~ spl84_139 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f3588,plain,
( ~ spl84_140
| ~ spl84_49
| spl84_248
| ~ spl84_139 ),
inference(avatar_split_clause,[],[f3568,f2629,f3586,f1738,f2633]) ).
fof(f3586,plain,
( spl84_248
<=> ! [X10,X11,X13,X12,X9] :
( ~ rline(X9)
| rS(sK82,sK82,X9)
| ~ rS(X13,sK82,X10)
| ~ rS(X12,sK82,vd1092)
| ~ ron(sK82,X10)
| ~ ron(X11,vd1092)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(sK82,X13,X9)
| ~ ron(X13,vd1092)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_248])]) ).
fof(f3568,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| ~ rline(X10)
| ~ rline(vd1092)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(sK82)
| ~ rpoint(X13)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X11,vd1092)
| ~ ron(X12,X9)
| ~ ron(sK82,X10)
| ~ ron(X13,vd1092)
| ~ rS(sK82,X13,X9)
| ~ rS(X12,sK82,vd1092)
| ~ rS(X13,sK82,X10)
| rS(sK82,sK82,X9) )
| ~ spl84_139 ),
inference(resolution,[],[f2631,f1317]) ).
fof(f1317,plain,
! [X10,X11,X8,X9,X7,X14,X12,X13] :
( ~ rS(X13,X7,X10)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X14,X10)
| ~ rS(X13,X14,X8)
| ~ rS(X12,X13,X10)
| ~ rS(X14,X7,X9)
| rS(X13,X7,X8) ),
inference(equality_resolution,[],[f1316]) ).
fof(f1316,plain,
! [X10,X11,X8,X6,X9,X7,X14,X12,X13] :
( rS(X13,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X6,X10)
| ~ rS(X13,X6,X8)
| ~ rS(X12,X13,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X13,X7,X10) ),
inference(equality_resolution,[],[f1315]) ).
fof(f1315,plain,
! [X10,X11,X8,X6,X9,X7,X14,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X12,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1314]) ).
fof(f1314,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1313]) ).
fof(f1313,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X3,X10)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1312]) ).
fof(f1312,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X3,X2)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X2) ),
inference(equality_resolution,[],[f1311]) ).
fof(f1311,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| X1 != X9
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X8)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(equality_resolution,[],[f920]) ).
fof(f920,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X0)
| ~ rline(X8)
| X0 != X8
| ~ rline(X9)
| X1 != X9
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X7,X0)
| ! [X8] :
( ~ rline(X8)
| X0 != X8 )
| ! [X9] :
( ~ rline(X9)
| X1 != X9 )
| ! [X10] :
( ~ rline(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X5 != X13 )
| ! [X14] :
( ~ rpoint(X14)
| X6 != X14 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(flattening,[],[f417]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X7,X0)
| ! [X8] :
( ~ rline(X8)
| X0 != X8 )
| ! [X9] :
( ~ rline(X9)
| X1 != X9 )
| ! [X10] :
( ~ rline(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X5 != X13 )
| ! [X14] :
( ~ rpoint(X14)
| X6 != X14 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(ennf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rline(X8)
& X0 = X8 )
& ? [X9] :
( rline(X9)
& X1 = X9 )
& ? [X10] :
( rline(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rpoint(X13)
& X5 = X13 )
& ? [X14] :
( rpoint(X14)
& X6 = X14 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2)
& rS(X6,X7,X1)
& rS(X5,X7,X2) )
=> rS(X5,X7,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X201,X202,X203,X204,X205,X206,X207,X208] :
( ( ? [X215] :
( rline(X215)
& X201 = X215 )
& ? [X214] :
( rline(X214)
& X202 = X214 )
& ? [X213] :
( rline(X213)
& X203 = X213 )
& ? [X212] :
( rpoint(X212)
& X204 = X212 )
& ? [X211] :
( rpoint(X211)
& X205 = X211 )
& ? [X210] :
( rpoint(X210)
& X206 = X210 )
& ? [X209] :
( rpoint(X209)
& X207 = X209 )
& ron(X204,X201)
& ron(X204,X202)
& ron(X204,X203)
& ron(X205,X201)
& ron(X206,X202)
& ron(X207,X203)
& rS(X206,X207,X201)
& rS(X205,X206,X203)
& rS(X207,X208,X202)
& rS(X206,X208,X203) )
=> rS(X206,X208,X201) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).
fof(f3584,plain,
( ~ spl84_49
| spl84_247
| ~ spl84_140
| ~ spl84_139 ),
inference(avatar_split_clause,[],[f3573,f2629,f2633,f3582,f1738]) ).
fof(f3582,plain,
( spl84_247
<=> ! [X3] :
( ~ rpoint(X3)
| rS(sK82,X3,vd1092)
| ~ rR(X3,sK82,sK82) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_247])]) ).
fof(f3573,plain,
( ! [X3] :
( ~ rpoint(sK82)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(X3,sK82,sK82)
| rS(sK82,X3,vd1092) )
| ~ spl84_139 ),
inference(duplicate_literal_removal,[],[f3565]) ).
fof(f3565,plain,
( ! [X3] :
( ~ rpoint(sK82)
| ~ rpoint(X3)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X3,sK82,sK82)
| rS(sK82,X3,vd1092) )
| ~ spl84_139 ),
inference(resolution,[],[f2631,f1174]) ).
fof(f1174,plain,
! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| rS(X5,X6,X4) ),
inference(equality_resolution,[],[f1173]) ).
fof(f1173,plain,
! [X3,X6,X7,X4,X5] :
( rS(X5,X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ rS(X5,X7,X3) ),
inference(equality_resolution,[],[f1172]) ).
fof(f1172,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X5,X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f1171]) ).
fof(f1171,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X5,X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f839]) ).
fof(f839,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X0,X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(flattening,[],[f359]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(ennf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& rS(X0,X2,X3) )
=> rS(X0,X1,X3) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X270,X271,X272,X273,X274] :
( ( ? [X277] :
( rpoint(X277)
& X270 = X277 )
& ? [X276] :
( rpoint(X276)
& X271 = X276 )
& ? [X275] :
( rpoint(X275)
& X272 = X275 )
& rline(X274)
& X273 = X274
& rR(X271,X270,X272)
& rS(X270,X272,X273) )
=> rS(X270,X271,X273) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).
fof(f3580,plain,
( ~ spl84_49
| spl84_246
| ~ spl84_140
| ~ spl84_139 ),
inference(avatar_split_clause,[],[f3574,f2629,f2633,f3578,f1738]) ).
fof(f3578,plain,
( spl84_246
<=> ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,vd1092)
| ~ rR(X2,sK82,sK82) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_246])]) ).
fof(f3574,plain,
( ! [X2] :
( ~ rpoint(sK82)
| ~ rpoint(X2)
| ~ rline(vd1092)
| ~ rR(X2,sK82,sK82)
| ~ ron(X2,vd1092) )
| ~ spl84_139 ),
inference(duplicate_literal_removal,[],[f3564]) ).
fof(f3564,plain,
( ! [X2] :
( ~ rpoint(sK82)
| ~ rpoint(X2)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X2,sK82,sK82)
| ~ ron(X2,vd1092) )
| ~ spl84_139 ),
inference(resolution,[],[f2631,f1154]) ).
fof(f1154,plain,
! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1153]) ).
fof(f1153,plain,
! [X3,X6,X7,X4,X5] :
( ~ rS(X5,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1152]) ).
fof(f1152,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1151]) ).
fof(f1151,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f829]) ).
fof(f829,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f351]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X1,X3) )
=> ~ rS(X0,X2,X3) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X254,X255,X256,X257,X258] :
( ( ? [X261] :
( rpoint(X261)
& X254 = X261 )
& ? [X260] :
( rpoint(X260)
& X255 = X260 )
& ? [X259] :
( rpoint(X259)
& X256 = X259 )
& rline(X258)
& X257 = X258
& rR(X255,X254,X256)
& ron(X255,X257) )
=> ~ rS(X254,X256,X257) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f3552,plain,
( ~ spl84_173
| ~ spl84_68
| spl84_245
| ~ spl84_231
| ~ spl84_233 ),
inference(avatar_split_clause,[],[f3545,f3407,f3383,f3548,f2088,f2856]) ).
fof(f3545,plain,
( sK49(vd1089,vd1086) = sK49(vd1086,sK83)
| ~ rpoint(vd1086)
| ~ rpoint(sK83)
| ~ spl84_231
| ~ spl84_233 ),
inference(superposition,[],[f989,f3437]) ).
fof(f3551,plain,
( ~ spl84_173
| ~ spl84_68
| spl84_245
| ~ spl84_231
| ~ spl84_233 ),
inference(avatar_split_clause,[],[f3541,f3407,f3383,f3548,f2088,f2856]) ).
fof(f3541,plain,
( sK49(vd1089,vd1086) = sK49(vd1086,sK83)
| ~ rpoint(vd1086)
| ~ rpoint(sK83)
| ~ spl84_231
| ~ spl84_233 ),
inference(superposition,[],[f3437,f989]) ).
fof(f3540,plain,
( spl84_242
| ~ spl84_243
| ~ spl84_244
| ~ spl84_7
| ~ spl84_127 ),
inference(avatar_split_clause,[],[f3526,f2505,f1463,f3537,f3533,f3530]) ).
fof(f3530,plain,
( spl84_242
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK56(vd1092,vd14) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_242])]) ).
fof(f3526,plain,
( ! [X0] :
( ~ ron(sK56(vd1092,vd14),vd1092)
| ~ ron(sK56(vd1092,vd14),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK56(vd1092,vd14) = X0 )
| ~ spl84_7
| ~ spl84_127 ),
inference(resolution,[],[f2507,f1464]) ).
fof(f2507,plain,
( rpoint(sK56(vd1092,vd14))
| ~ spl84_127 ),
inference(avatar_component_clause,[],[f2505]) ).
fof(f3525,plain,
( ~ spl84_173
| ~ spl84_25
| spl84_241
| ~ spl84_233 ),
inference(avatar_split_clause,[],[f3520,f3407,f3522,f1586,f2856]) ).
fof(f3522,plain,
( spl84_241
<=> rreal(sK49(vd1089,vd1086)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_241])]) ).
fof(f3520,plain,
( rreal(sK49(vd1089,vd1086))
| ~ rpoint(vd1089)
| ~ rpoint(sK83)
| ~ spl84_233 ),
inference(superposition,[],[f987,f3409]) ).
fof(f987,plain,
! [X3,X4] :
( rreal(sK49(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f986]) ).
fof(f986,plain,
! [X3,X1,X4] :
( rreal(sK49(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f725]) ).
fof(f725,plain,
! [X3,X0,X1,X4] :
( rreal(sK49(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f529]) ).
fof(f3486,plain,
( ~ spl84_173
| ~ spl84_68
| ~ spl84_240
| spl84_232 ),
inference(avatar_split_clause,[],[f3481,f3389,f3483,f2088,f2856]) ).
fof(f3481,plain,
( vd684 != sK49(vd1086,sK83)
| ~ rpoint(vd1086)
| ~ rpoint(sK83)
| spl84_232 ),
inference(superposition,[],[f3391,f989]) ).
fof(f3475,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_235
| ~ spl84_239
| ~ spl84_231
| ~ spl84_233 ),
inference(avatar_split_clause,[],[f3468,f3407,f3383,f3472,f3418,f1586,f2088]) ).
fof(f3472,plain,
( spl84_239
<=> vd684 = sK49(vd1089,vd1086) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_239])]) ).
fof(f3468,plain,
( vd684 != sK49(vd1089,vd1086)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231
| ~ spl84_233 ),
inference(superposition,[],[f983,f3440]) ).
fof(f3436,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_234
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3405,f3383,f3412,f1586,f2088]) ).
fof(f3405,plain,
( vf(vd1086,vd1089) = sK49(vd1089,sK83)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231 ),
inference(superposition,[],[f978,f3395]) ).
fof(f978,plain,
! [X2,X3] :
( vf(X2,X3) = vf(X3,X2)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f977]) ).
fof(f977,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f717]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X3] :
( ( ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 ) )
=> vf(X2,X3) = vf(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f3435,plain,
( ~ spl84_25
| ~ spl84_68
| spl84_234
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3404,f3383,f3412,f2088,f1586]) ).
fof(f3404,plain,
( vf(vd1086,vd1089) = sK49(vd1089,sK83)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl84_231 ),
inference(superposition,[],[f978,f3395]) ).
fof(f3434,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_235
| ~ spl84_238
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3403,f3383,f3431,f3418,f1586,f2088]) ).
fof(f3403,plain,
( vd684 != sK49(vd1089,sK83)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231 ),
inference(superposition,[],[f983,f3395]) ).
fof(f3429,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_233
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3402,f3383,f3407,f1586,f2088]) ).
fof(f3402,plain,
( sK49(vd1089,sK83) = sK49(vd1089,vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231 ),
inference(superposition,[],[f989,f3395]) ).
fof(f3428,plain,
( ~ spl84_9
| ~ spl84_12
| spl84_235
| ~ spl84_25
| ~ spl84_68
| spl84_237
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3401,f3383,f3426,f2088,f1586,f3418,f1499,f1487]) ).
fof(f3426,plain,
( spl84_237
<=> ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1089,sK83),vf(vd1086,X1))
| rR(vd1089,vd1086,X1)
| ~ ron(X1,sK36)
| rR(X1,vd1086,vd1089)
| vd1089 = X1
| vd1086 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_237])]) ).
fof(f3401,plain,
( ! [X1] :
( vf(vd1089,X1) = vplus(sK49(vd1089,sK83),vf(vd1086,X1))
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| vd1089 = vd1086
| vd1086 = X1
| vd1089 = X1
| rR(X1,vd1086,vd1089)
| ~ ron(vd1086,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| rR(vd1089,vd1086,X1) )
| ~ spl84_231 ),
inference(superposition,[],[f1702,f3395]) ).
fof(f3424,plain,
( ~ spl84_12
| ~ spl84_9
| spl84_235
| ~ spl84_68
| ~ spl84_25
| spl84_236
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3400,f3383,f3422,f1586,f2088,f3418,f1487,f1499]) ).
fof(f3422,plain,
( spl84_236
<=> ! [X0] :
( vplus(vf(X0,vd1089),sK49(vd1089,sK83)) = vf(X0,vd1086)
| rR(X0,vd1089,vd1086)
| ~ ron(X0,sK36)
| rR(vd1086,vd1089,X0)
| vd1086 = X0
| vd1089 = X0
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_236])]) ).
fof(f3400,plain,
( ! [X0] :
( vplus(vf(X0,vd1089),sK49(vd1089,sK83)) = vf(X0,vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| ~ rpoint(vd1086)
| vd1089 = X0
| vd1089 = vd1086
| vd1086 = X0
| rR(vd1086,vd1089,X0)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| ~ ron(vd1086,sK36)
| rR(X0,vd1089,vd1086) )
| ~ spl84_231 ),
inference(superposition,[],[f1702,f3395]) ).
fof(f3416,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_234
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3399,f3383,f3412,f1586,f2088]) ).
fof(f3399,plain,
( vf(vd1086,vd1089) = sK49(vd1089,sK83)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231 ),
inference(superposition,[],[f3395,f978]) ).
fof(f3415,plain,
( ~ spl84_25
| ~ spl84_68
| spl84_234
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3398,f3383,f3412,f2088,f1586]) ).
fof(f3398,plain,
( vf(vd1086,vd1089) = sK49(vd1089,sK83)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl84_231 ),
inference(superposition,[],[f3395,f978]) ).
fof(f3410,plain,
( ~ spl84_68
| ~ spl84_25
| spl84_233
| ~ spl84_231 ),
inference(avatar_split_clause,[],[f3397,f3383,f3407,f1586,f2088]) ).
fof(f3397,plain,
( sK49(vd1089,sK83) = sK49(vd1089,vd1086)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl84_231 ),
inference(superposition,[],[f3395,f989]) ).
fof(f3392,plain,
( ~ spl84_173
| ~ spl84_25
| spl84_224
| ~ spl84_232 ),
inference(avatar_split_clause,[],[f3381,f3389,f3316,f1586,f2856]) ).
fof(f3381,plain,
( vd684 != vf(vd1086,sK83)
| vd1089 = sK83
| ~ rpoint(vd1089)
| ~ rpoint(sK83) ),
inference(superposition,[],[f983,f947]) ).
fof(f3387,plain,
( ~ spl84_173
| ~ spl84_25
| spl84_231 ),
inference(avatar_split_clause,[],[f3380,f3383,f1586,f2856]) ).
fof(f3380,plain,
( vf(vd1086,sK83) = sK49(vd1089,sK83)
| ~ rpoint(vd1089)
| ~ rpoint(sK83) ),
inference(superposition,[],[f989,f947]) ).
fof(f3386,plain,
( ~ spl84_173
| ~ spl84_25
| spl84_231 ),
inference(avatar_split_clause,[],[f3377,f3383,f1586,f2856]) ).
fof(f3377,plain,
( vf(vd1086,sK83) = sK49(vd1089,sK83)
| ~ rpoint(vd1089)
| ~ rpoint(sK83) ),
inference(superposition,[],[f947,f989]) ).
fof(f3370,plain,
spl84_22,
inference(avatar_split_clause,[],[f949,f1539]) ).
fof(f949,plain,
ron(sK83,vd1092),
inference(definition_unfolding,[],[f678,f941]) ).
fof(f678,plain,
ron(vd1080,vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rline(vd1092)
& ron(vd1080,vd1092)
& ron(vd1089,vd1092) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).
fof(f3369,plain,
( ~ spl84_25
| spl84_230
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f3355,f3316,f3364,f1586]) ).
fof(f3355,plain,
( vd684 = vf(vd1086,vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(superposition,[],[f1368,f3342]) ).
fof(f3342,plain,
( vf(vd1089,vd1089) = vf(vd1086,vd1089)
| ~ spl84_224 ),
inference(backward_demodulation,[],[f947,f3318]) ).
fof(f1368,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f981,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f980]) ).
fof(f980,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f979]) ).
fof(f979,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f952]) ).
fof(f952,plain,
! [X2,X3,X0,X1] :
( vd684 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f719,f674]) ).
fof(f719,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f522]) ).
fof(f3368,plain,
( ~ spl84_25
| spl84_229
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f3356,f3316,f3359,f1586]) ).
fof(f3356,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(duplicate_literal_removal,[],[f3353]) ).
fof(f3353,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1089)
| ~ rpoint(vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(superposition,[],[f989,f3342]) ).
fof(f3367,plain,
( ~ spl84_25
| spl84_230
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f3350,f3316,f3364,f1586]) ).
fof(f3350,plain,
( vd684 = vf(vd1086,vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(superposition,[],[f3342,f1368]) ).
fof(f3362,plain,
( ~ spl84_25
| spl84_229
| ~ spl84_224 ),
inference(avatar_split_clause,[],[f3357,f3316,f3359,f1586]) ).
fof(f3357,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(duplicate_literal_removal,[],[f3349]) ).
fof(f3349,plain,
( vf(vd1086,vd1089) = sK49(vd1089,vd1089)
| ~ rpoint(vd1089)
| ~ rpoint(vd1089)
| ~ spl84_224 ),
inference(superposition,[],[f3342,f989]) ).
fof(f3340,plain,
spl84_173,
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| spl84_173 ),
inference(resolution,[],[f2858,f942]) ).
fof(f942,plain,
rpoint(sK83),
inference(cnf_transformation,[],[f661]) ).
fof(f2858,plain,
( ~ rpoint(sK83)
| spl84_173 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f3336,plain,
spl84_25,
inference(avatar_contradiction_clause,[],[f3335]) ).
fof(f3335,plain,
( $false
| spl84_25 ),
inference(resolution,[],[f1588,f669]) ).
fof(f669,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','pred(226, 0)') ).
fof(f1588,plain,
( ~ rpoint(vd1089)
| spl84_25 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f3334,plain,
( ~ spl84_21
| ~ spl84_9
| spl84_224
| ~ spl84_173
| ~ spl84_25
| spl84_228 ),
inference(avatar_split_clause,[],[f3299,f3332,f1586,f2856,f3316,f1487,f1535]) ).
fof(f3332,plain,
( spl84_228
<=> ! [X1] :
( vf(X1,sK83) = vplus(vf(X1,vd1089),vf(vd1086,sK83))
| rR(X1,vd1089,sK83)
| ~ ron(X1,sK36)
| rR(sK83,vd1089,X1)
| sK83 = X1
| vd1089 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_228])]) ).
fof(f3299,plain,
! [X1] :
( vf(X1,sK83) = vplus(vf(X1,vd1089),vf(vd1086,sK83))
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| ~ rpoint(sK83)
| vd1089 = X1
| vd1089 = sK83
| sK83 = X1
| rR(sK83,vd1089,X1)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| ~ ron(sK83,sK36)
| rR(X1,vd1089,sK83) ),
inference(superposition,[],[f1702,f947]) ).
fof(f3330,plain,
( ~ spl84_21
| ~ spl84_9
| spl84_224
| ~ spl84_173
| ~ spl84_25
| spl84_227 ),
inference(avatar_split_clause,[],[f3298,f3328,f1586,f2856,f3316,f1487,f1535]) ).
fof(f3328,plain,
( spl84_227
<=> ! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1089),vf(vd1089,vd1086))
| rR(X0,vd1089,sK83)
| ~ ron(X0,sK36)
| rR(sK83,vd1089,X0)
| sK83 = X0
| vd1089 = X0
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_227])]) ).
fof(f3298,plain,
! [X0] :
( vf(X0,sK83) = vplus(vf(X0,vd1089),vf(vd1089,vd1086))
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| ~ rpoint(sK83)
| vd1089 = X0
| vd1089 = sK83
| sK83 = X0
| rR(sK83,vd1089,X0)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| ~ ron(sK83,sK36)
| rR(X0,vd1089,sK83) ),
inference(superposition,[],[f1702,f948]) ).
fof(f3326,plain,
( ~ spl84_9
| ~ spl84_21
| spl84_224
| ~ spl84_25
| ~ spl84_173
| spl84_226 ),
inference(avatar_split_clause,[],[f3292,f3324,f2856,f1586,f3316,f1535,f1487]) ).
fof(f3324,plain,
( spl84_226
<=> ! [X1] :
( vf(vd1089,X1) = vplus(vf(vd1086,sK83),vf(sK83,X1))
| rR(vd1089,sK83,X1)
| ~ ron(X1,sK36)
| rR(X1,sK83,vd1089)
| vd1089 = X1
| sK83 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_226])]) ).
fof(f3292,plain,
! [X1] :
( vf(vd1089,X1) = vplus(vf(vd1086,sK83),vf(sK83,X1))
| ~ rpoint(sK83)
| ~ rpoint(vd1089)
| ~ rpoint(X1)
| vd1089 = sK83
| sK83 = X1
| vd1089 = X1
| rR(X1,sK83,vd1089)
| ~ ron(sK83,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X1,sK36)
| rR(vd1089,sK83,X1) ),
inference(superposition,[],[f1702,f947]) ).
fof(f3322,plain,
( ~ spl84_9
| ~ spl84_21
| spl84_224
| ~ spl84_25
| ~ spl84_173
| spl84_225 ),
inference(avatar_split_clause,[],[f3291,f3320,f2856,f1586,f3316,f1535,f1487]) ).
fof(f3320,plain,
( spl84_225
<=> ! [X0] :
( vf(vd1089,X0) = vplus(vf(vd1089,vd1086),vf(sK83,X0))
| rR(vd1089,sK83,X0)
| ~ ron(X0,sK36)
| rR(X0,sK83,vd1089)
| vd1089 = X0
| sK83 = X0
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_225])]) ).
fof(f3291,plain,
! [X0] :
( vf(vd1089,X0) = vplus(vf(vd1089,vd1086),vf(sK83,X0))
| ~ rpoint(sK83)
| ~ rpoint(vd1089)
| ~ rpoint(X0)
| vd1089 = sK83
| sK83 = X0
| vd1089 = X0
| rR(X0,sK83,vd1089)
| ~ ron(sK83,sK36)
| ~ ron(vd1089,sK36)
| ~ ron(X0,sK36)
| rR(vd1089,sK83,X0) ),
inference(superposition,[],[f1702,f948]) ).
fof(f3261,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_223
| ~ spl84_125 ),
inference(avatar_split_clause,[],[f3239,f2495,f3259,f2384,f1738]) ).
fof(f3239,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(vd14)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(vd14,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(vd14,X18)
| X16 = X17
| rS(X14,vd14,vd1092)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp)) )
| ~ spl84_125 ),
inference(duplicate_literal_removal,[],[f3238]) ).
fof(f3238,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(vd14)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(vd14)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(vd14,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(vd14,X18)
| X16 = X17
| rS(X14,vd14,vd1092)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp)) )
| ~ spl84_125 ),
inference(resolution,[],[f2497,f1333]) ).
fof(f2497,plain,
( rS(vd14,vd14,vd1092)
| ~ spl84_125 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f3257,plain,
( ~ spl84_105
| ~ spl84_49
| spl84_222
| ~ spl84_125 ),
inference(avatar_split_clause,[],[f3237,f2495,f3255,f1738,f2384]) ).
fof(f3237,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| ~ rline(X10)
| ~ rline(vd1092)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(vd14)
| ~ rpoint(X13)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X11,vd1092)
| ~ ron(X12,X9)
| ~ ron(vd14,X10)
| ~ ron(X13,vd1092)
| ~ rS(vd14,X13,X9)
| ~ rS(X12,vd14,vd1092)
| ~ rS(X13,vd14,X10)
| rS(vd14,vd14,X9) )
| ~ spl84_125 ),
inference(resolution,[],[f2497,f1317]) ).
fof(f3253,plain,
( ~ spl84_49
| spl84_221
| ~ spl84_105
| ~ spl84_125 ),
inference(avatar_split_clause,[],[f3242,f2495,f2384,f3251,f1738]) ).
fof(f3242,plain,
( ! [X3] :
( ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(X3,vd14,vd14)
| rS(vd14,X3,vd1092) )
| ~ spl84_125 ),
inference(duplicate_literal_removal,[],[f3234]) ).
fof(f3234,plain,
( ! [X3] :
( ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X3,vd14,vd14)
| rS(vd14,X3,vd1092) )
| ~ spl84_125 ),
inference(resolution,[],[f2497,f1174]) ).
fof(f3249,plain,
( ~ spl84_49
| spl84_220
| ~ spl84_105
| ~ spl84_125 ),
inference(avatar_split_clause,[],[f3243,f2495,f2384,f3247,f1738]) ).
fof(f3243,plain,
( ! [X2] :
( ~ rpoint(vd14)
| ~ rpoint(X2)
| ~ rline(vd1092)
| ~ rR(X2,vd14,vd14)
| ~ ron(X2,vd1092) )
| ~ spl84_125 ),
inference(duplicate_literal_removal,[],[f3233]) ).
fof(f3233,plain,
( ! [X2] :
( ~ rpoint(vd14)
| ~ rpoint(X2)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X2,vd14,vd14)
| ~ ron(X2,vd1092) )
| ~ spl84_125 ),
inference(resolution,[],[f2497,f1154]) ).
fof(f3223,plain,
( spl84_217
| ~ spl84_218
| ~ spl84_219
| ~ spl84_7
| ~ spl84_107 ),
inference(avatar_split_clause,[],[f3209,f2394,f1463,f3220,f3216,f3213]) ).
fof(f3213,plain,
( spl84_217
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK56(sK36,vd14) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_217])]) ).
fof(f3209,plain,
( ! [X0] :
( ~ ron(sK56(sK36,vd14),vd1092)
| ~ ron(sK56(sK36,vd14),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK56(sK36,vd14) = X0 )
| ~ spl84_7
| ~ spl84_107 ),
inference(resolution,[],[f2396,f1464]) ).
fof(f3168,plain,
( ~ spl84_24
| spl84_216
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3128,f1818,f3166,f1582]) ).
fof(f3166,plain,
( spl84_216
<=> ! [X41,X43,X40,X46,X44,X42,X45,X47] :
( ~ ron(X40,sK36)
| ~ rless(vplus(vangle(X42,X45,X46),vangle(X45,X46,X41)),vplus(vperp,vperp))
| rS(X43,X42,sK36)
| X45 = X46
| ~ ron(X41,X47)
| ~ ron(X45,sK36)
| ~ ron(X42,X44)
| ~ rpoint(X46)
| ~ ron(X46,X47)
| ~ ron(X46,sK36)
| ~ rline(X47)
| ~ rpoint(X45)
| ~ ron(X45,X44)
| ~ ron(X43,X44)
| ~ rline(X44)
| ~ rpoint(X43)
| ~ ron(X43,sK36)
| X41 = X42
| ~ rpoint(X41)
| X40 = X42
| X40 = X41
| rR(X40,X42,X41)
| ~ ron(X42,vd1092)
| ~ rpoint(X42)
| ~ ron(X41,vd1092)
| ~ rpoint(X40)
| ~ ron(X40,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_216])]) ).
fof(f1818,plain,
( spl84_66
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ ron(X0,sK36)
| ~ ron(X0,vd1092)
| rS(X2,X1,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X2,vd1092)
| ~ rpoint(X2)
| rR(X0,X2,X1)
| X0 = X1
| X0 = X2
| ~ rpoint(X1)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_66])]) ).
fof(f3128,plain,
( ! [X40,X41,X46,X47,X44,X45,X42,X43] :
( ~ ron(X40,sK36)
| ~ ron(X40,vd1092)
| ~ rpoint(X40)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| ~ rpoint(X42)
| rR(X40,X42,X41)
| X40 = X41
| X40 = X42
| ~ rpoint(X41)
| X41 = X42
| ~ ron(X43,X44)
| ~ ron(X43,sK36)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X43)
| ~ rline(X44)
| ~ rline(sK36)
| ~ rline(X47)
| ~ ron(X42,X44)
| ~ ron(X45,X44)
| ~ ron(X45,sK36)
| ~ ron(X46,sK36)
| ~ ron(X46,X47)
| ~ ron(X41,X47)
| X45 = X46
| rS(X43,X42,sK36)
| ~ rless(vplus(vangle(X42,X45,X46),vangle(X45,X46,X41)),vplus(vperp,vperp)) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3124]) ).
fof(f3124,plain,
( ! [X40,X41,X46,X47,X44,X45,X42,X43] :
( ~ ron(X40,sK36)
| ~ ron(X40,vd1092)
| ~ rpoint(X40)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| ~ rpoint(X42)
| rR(X40,X42,X41)
| X40 = X41
| X40 = X42
| ~ rpoint(X41)
| X41 = X42
| ~ ron(X43,X44)
| ~ ron(X43,sK36)
| ~ rpoint(X42)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X41)
| ~ rpoint(X43)
| ~ rline(X44)
| ~ rline(sK36)
| ~ rline(X47)
| ~ ron(X42,X44)
| ~ ron(X45,X44)
| ~ ron(X45,sK36)
| ~ ron(X46,sK36)
| ~ ron(X46,X47)
| ~ ron(X41,X47)
| X45 = X46
| rS(X43,X42,sK36)
| ~ rless(vplus(vangle(X42,X45,X46),vangle(X45,X46,X41)),vplus(vperp,vperp)) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1333]) ).
fof(f1819,plain,
( ! [X2,X0,X1] :
( rS(X2,X1,sK36)
| ~ ron(X0,sK36)
| ~ ron(X0,vd1092)
| ~ rpoint(X0)
| ~ ron(X1,vd1092)
| ~ ron(X2,vd1092)
| ~ rpoint(X2)
| rR(X0,X2,X1)
| X0 = X1
| X0 = X2
| ~ rpoint(X1)
| X1 = X2 )
| ~ spl84_66 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f3164,plain,
( ~ spl84_24
| spl84_215
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3129,f1818,f3162,f1582]) ).
fof(f3162,plain,
( spl84_215
<=> ! [X38,X35,X34,X36,X33,X37,X32,X39] :
( ~ ron(X32,sK36)
| rS(X34,X33,X35)
| ~ rS(X39,X33,X36)
| ~ rS(X38,X34,sK36)
| ~ rS(X34,X39,X35)
| ~ ron(X34,X36)
| ~ rpoint(X39)
| ~ ron(X39,sK36)
| ~ rpoint(X38)
| ~ ron(X38,X35)
| ~ rline(X36)
| ~ rline(X35)
| ~ ron(X37,sK36)
| ~ ron(X37,X36)
| ~ rpoint(X37)
| ~ ron(X37,X35)
| X33 = X34
| ~ rpoint(X33)
| X32 = X34
| X32 = X33
| rR(X32,X34,X33)
| ~ ron(X34,vd1092)
| ~ rpoint(X34)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_215])]) ).
fof(f3129,plain,
( ! [X38,X39,X36,X37,X34,X35,X32,X33] :
( ~ ron(X32,sK36)
| ~ ron(X32,vd1092)
| ~ rpoint(X32)
| ~ ron(X33,vd1092)
| ~ ron(X34,vd1092)
| ~ rpoint(X34)
| rR(X32,X34,X33)
| X32 = X33
| X32 = X34
| ~ rpoint(X33)
| X33 = X34
| ~ rline(X35)
| ~ rline(X36)
| ~ rline(sK36)
| ~ rpoint(X37)
| ~ rpoint(X38)
| ~ rpoint(X39)
| ~ ron(X37,X35)
| ~ ron(X37,X36)
| ~ ron(X37,sK36)
| ~ ron(X38,X35)
| ~ ron(X34,X36)
| ~ ron(X39,sK36)
| ~ rS(X34,X39,X35)
| ~ rS(X38,X34,sK36)
| ~ rS(X39,X33,X36)
| rS(X34,X33,X35) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3123]) ).
fof(f3123,plain,
( ! [X38,X39,X36,X37,X34,X35,X32,X33] :
( ~ ron(X32,sK36)
| ~ ron(X32,vd1092)
| ~ rpoint(X32)
| ~ ron(X33,vd1092)
| ~ ron(X34,vd1092)
| ~ rpoint(X34)
| rR(X32,X34,X33)
| X32 = X33
| X32 = X34
| ~ rpoint(X33)
| X33 = X34
| ~ rline(X35)
| ~ rline(X36)
| ~ rline(sK36)
| ~ rpoint(X37)
| ~ rpoint(X38)
| ~ rpoint(X34)
| ~ rpoint(X39)
| ~ ron(X37,X35)
| ~ ron(X37,X36)
| ~ ron(X37,sK36)
| ~ ron(X38,X35)
| ~ ron(X34,X36)
| ~ ron(X39,sK36)
| ~ rS(X34,X39,X35)
| ~ rS(X38,X34,sK36)
| ~ rS(X39,X33,X36)
| rS(X34,X33,X35) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1317]) ).
fof(f3160,plain,
( ~ spl84_24
| spl84_214
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3130,f1818,f3158,f1582]) ).
fof(f3158,plain,
( spl84_214
<=> ! [X28,X31,X30,X29,X27,X25,X26] :
( ~ ron(X25,sK36)
| ~ rS(X27,X31,X29)
| ~ rS(X31,X26,X28)
| ~ ron(X26,X29)
| ~ ron(X27,X28)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X29)
| ~ rline(X28)
| ~ ron(X30,X29)
| ~ ron(X30,sK36)
| ~ rpoint(X30)
| ~ ron(X30,X28)
| X26 = X27
| ~ rpoint(X26)
| X25 = X27
| X25 = X26
| rR(X25,X27,X26)
| ~ ron(X27,vd1092)
| ~ rpoint(X27)
| ~ ron(X26,vd1092)
| ~ rpoint(X25)
| ~ ron(X25,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_214])]) ).
fof(f3130,plain,
( ! [X31,X28,X29,X26,X27,X25,X30] :
( ~ ron(X25,sK36)
| ~ ron(X25,vd1092)
| ~ rpoint(X25)
| ~ ron(X26,vd1092)
| ~ ron(X27,vd1092)
| ~ rpoint(X27)
| rR(X25,X27,X26)
| X25 = X26
| X25 = X27
| ~ rpoint(X26)
| X26 = X27
| ~ rline(X28)
| ~ rline(sK36)
| ~ rline(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ ron(X30,X28)
| ~ ron(X30,sK36)
| ~ ron(X30,X29)
| ~ ron(X27,X28)
| ~ ron(X31,X29)
| ~ ron(X26,X29)
| ~ rS(X31,X26,X28)
| ~ rS(X27,X31,X29) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3122]) ).
fof(f3122,plain,
( ! [X31,X28,X29,X26,X27,X25,X30] :
( ~ ron(X25,sK36)
| ~ ron(X25,vd1092)
| ~ rpoint(X25)
| ~ ron(X26,vd1092)
| ~ ron(X27,vd1092)
| ~ rpoint(X27)
| rR(X25,X27,X26)
| X25 = X26
| X25 = X27
| ~ rpoint(X26)
| X26 = X27
| ~ rline(X28)
| ~ rline(sK36)
| ~ rline(X29)
| ~ rpoint(X30)
| ~ rpoint(X27)
| ~ rpoint(X31)
| ~ rpoint(X26)
| ~ ron(X30,X28)
| ~ ron(X30,sK36)
| ~ ron(X30,X29)
| ~ ron(X27,X28)
| ~ ron(X31,X29)
| ~ ron(X26,X29)
| ~ rS(X31,X26,X28)
| ~ rS(X27,X31,X29) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1289]) ).
fof(f1289,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rS(X11,X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| ~ rS(X11,X12,X9) ),
inference(equality_resolution,[],[f1288]) ).
fof(f1288,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( ~ rS(X11,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X6,X9)
| ~ rS(X12,X6,X7)
| ~ rS(X11,X12,X9) ),
inference(equality_resolution,[],[f1287]) ).
fof(f1287,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( ~ rS(X11,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X11,X5,X9) ),
inference(equality_resolution,[],[f1286]) ).
fof(f1286,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X9) ),
inference(equality_resolution,[],[f1285]) ).
fof(f1285,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X9) ),
inference(equality_resolution,[],[f1284]) ).
fof(f1284,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1283]) ).
fof(f1283,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X1)
| ~ rline(X7)
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f896]) ).
fof(f896,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X1)
| ~ rline(X7)
| X0 != X7
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(cnf_transformation,[],[f406]) ).
fof(f406,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X4,X6,X1)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(flattening,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X4,X6,X1)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(ennf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rline(X7)
& X0 = X7 )
& ? [X8] :
( rline(X8)
& X1 = X8 )
& ? [X9] :
( rline(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rpoint(X12)
& X5 = X12 )
& ? [X13] :
( rpoint(X13)
& X6 = X13 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X2)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2) )
=> ~ rS(X4,X6,X1) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X230,X231,X232,X233,X234,X235,X236] :
( ( ? [X243] :
( rline(X243)
& X230 = X243 )
& ? [X242] :
( rline(X242)
& X231 = X242 )
& ? [X241] :
( rline(X241)
& X232 = X241 )
& ? [X240] :
( rpoint(X240)
& X233 = X240 )
& ? [X239] :
( rpoint(X239)
& X234 = X239 )
& ? [X238] :
( rpoint(X238)
& X235 = X238 )
& ? [X237] :
( rpoint(X237)
& X236 = X237 )
& ron(X233,X230)
& ron(X233,X231)
& ron(X233,X232)
& ron(X234,X230)
& ron(X235,X232)
& ron(X236,X232)
& rS(X235,X236,X230)
& rS(X234,X235,X232) )
=> ~ rS(X234,X236,X231) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof(f3156,plain,
( ~ spl84_24
| spl84_213
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3131,f1818,f3154,f1582]) ).
fof(f3154,plain,
( spl84_213
<=> ! [X24,X21,X23,X22] :
( ~ ron(X21,sK36)
| rS(X24,X22,sK36)
| ~ rS(X23,X24,sK36)
| ~ rpoint(X24)
| X22 = X23
| ~ rpoint(X22)
| X21 = X23
| X21 = X22
| rR(X21,X23,X22)
| ~ ron(X23,vd1092)
| ~ rpoint(X23)
| ~ ron(X22,vd1092)
| ~ rpoint(X21)
| ~ ron(X21,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_213])]) ).
fof(f3131,plain,
( ! [X21,X24,X22,X23] :
( ~ ron(X21,sK36)
| ~ ron(X21,vd1092)
| ~ rpoint(X21)
| ~ ron(X22,vd1092)
| ~ ron(X23,vd1092)
| ~ rpoint(X23)
| rR(X21,X23,X22)
| X21 = X22
| X21 = X23
| ~ rpoint(X22)
| X22 = X23
| ~ rpoint(X24)
| ~ rline(sK36)
| ~ rS(X23,X24,sK36)
| rS(X24,X22,sK36) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3121]) ).
fof(f3121,plain,
( ! [X21,X24,X22,X23] :
( ~ ron(X21,sK36)
| ~ ron(X21,vd1092)
| ~ rpoint(X21)
| ~ ron(X22,vd1092)
| ~ ron(X23,vd1092)
| ~ rpoint(X23)
| rR(X21,X23,X22)
| X21 = X22
| X21 = X23
| ~ rpoint(X22)
| X22 = X23
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22)
| ~ rline(sK36)
| ~ rS(X23,X24,sK36)
| rS(X24,X22,sK36) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1178]) ).
fof(f1178,plain,
! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rS(X5,X6,X4)
| rS(X6,X7,X4) ),
inference(equality_resolution,[],[f1177]) ).
fof(f1177,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X6,X3)
| ~ rS(X5,X7,X3) ),
inference(equality_resolution,[],[f1176]) ).
fof(f1176,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X6,X3)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f1175]) ).
fof(f1175,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X1,X3)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f840]) ).
fof(f840,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(flattening,[],[f361]) ).
fof(f361,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(ennf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rS(X0,X1,X3)
& rS(X0,X2,X3) )
=> rS(X1,X2,X3) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X286,X287,X288,X289,X290] :
( ( ? [X293] :
( rpoint(X293)
& X286 = X293 )
& ? [X292] :
( rpoint(X292)
& X287 = X292 )
& ? [X291] :
( rpoint(X291)
& X288 = X291 )
& rline(X290)
& X289 = X290
& rS(X286,X287,X289)
& rS(X286,X288,X289) )
=> rS(X287,X288,X289) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof(f3152,plain,
( ~ spl84_24
| spl84_212
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3132,f1818,f3150,f1582]) ).
fof(f3150,plain,
( spl84_212
<=> ! [X18,X20,X17,X19] :
( ~ ron(X17,sK36)
| rS(X19,X20,sK36)
| ~ rR(X20,X19,X18)
| ~ rpoint(X20)
| X18 = X19
| ~ rpoint(X18)
| X17 = X19
| X17 = X18
| rR(X17,X19,X18)
| ~ ron(X19,vd1092)
| ~ rpoint(X19)
| ~ ron(X18,vd1092)
| ~ rpoint(X17)
| ~ ron(X17,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_212])]) ).
fof(f3132,plain,
( ! [X18,X19,X17,X20] :
( ~ ron(X17,sK36)
| ~ ron(X17,vd1092)
| ~ rpoint(X17)
| ~ ron(X18,vd1092)
| ~ ron(X19,vd1092)
| ~ rpoint(X19)
| rR(X17,X19,X18)
| X17 = X18
| X17 = X19
| ~ rpoint(X18)
| X18 = X19
| ~ rpoint(X20)
| ~ rline(sK36)
| ~ rR(X20,X19,X18)
| rS(X19,X20,sK36) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3120]) ).
fof(f3120,plain,
( ! [X18,X19,X17,X20] :
( ~ ron(X17,sK36)
| ~ ron(X17,vd1092)
| ~ rpoint(X17)
| ~ ron(X18,vd1092)
| ~ ron(X19,vd1092)
| ~ rpoint(X19)
| rR(X17,X19,X18)
| X17 = X18
| X17 = X19
| ~ rpoint(X18)
| X18 = X19
| ~ rpoint(X19)
| ~ rpoint(X20)
| ~ rpoint(X18)
| ~ rline(sK36)
| ~ rR(X20,X19,X18)
| rS(X19,X20,sK36) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1174]) ).
fof(f3148,plain,
( ~ spl84_24
| spl84_211
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3133,f1818,f3146,f1582]) ).
fof(f3146,plain,
( spl84_211
<=> ! [X13,X14,X16,X15] :
( ~ ron(X13,sK36)
| ~ ron(X16,sK36)
| ~ rR(X16,X15,X14)
| ~ rpoint(X16)
| X14 = X15
| ~ rpoint(X14)
| X13 = X15
| X13 = X14
| rR(X13,X15,X14)
| ~ ron(X15,vd1092)
| ~ rpoint(X15)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_211])]) ).
fof(f3133,plain,
( ! [X16,X14,X15,X13] :
( ~ ron(X13,sK36)
| ~ ron(X13,vd1092)
| ~ rpoint(X13)
| ~ ron(X14,vd1092)
| ~ ron(X15,vd1092)
| ~ rpoint(X15)
| rR(X13,X15,X14)
| X13 = X14
| X13 = X15
| ~ rpoint(X14)
| X14 = X15
| ~ rpoint(X16)
| ~ rline(sK36)
| ~ rR(X16,X15,X14)
| ~ ron(X16,sK36) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3119]) ).
fof(f3119,plain,
( ! [X16,X14,X15,X13] :
( ~ ron(X13,sK36)
| ~ ron(X13,vd1092)
| ~ rpoint(X13)
| ~ ron(X14,vd1092)
| ~ ron(X15,vd1092)
| ~ rpoint(X15)
| rR(X13,X15,X14)
| X13 = X14
| X13 = X15
| ~ rpoint(X14)
| X14 = X15
| ~ rpoint(X15)
| ~ rpoint(X16)
| ~ rpoint(X14)
| ~ rline(sK36)
| ~ rR(X16,X15,X14)
| ~ ron(X16,sK36) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1154]) ).
fof(f3144,plain,
( ~ spl84_24
| spl84_210
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3134,f1818,f3142,f1582]) ).
fof(f3142,plain,
( spl84_210
<=> ! [X11,X12,X10] :
( ~ ron(X10,sK36)
| rS(X11,X12,sK36)
| X11 = X12
| ~ rpoint(X11)
| X10 = X12
| X10 = X11
| rR(X10,X12,X11)
| ~ ron(X12,vd1092)
| ~ rpoint(X12)
| ~ ron(X11,vd1092)
| ~ rpoint(X10)
| ~ ron(X10,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_210])]) ).
fof(f3134,plain,
( ! [X10,X11,X12] :
( ~ ron(X10,sK36)
| ~ ron(X10,vd1092)
| ~ rpoint(X10)
| ~ ron(X11,vd1092)
| ~ ron(X12,vd1092)
| ~ rpoint(X12)
| rR(X10,X12,X11)
| X10 = X11
| X10 = X12
| ~ rpoint(X11)
| X11 = X12
| ~ rline(sK36)
| rS(X11,X12,sK36) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3118]) ).
fof(f3118,plain,
( ! [X10,X11,X12] :
( ~ ron(X10,sK36)
| ~ ron(X10,vd1092)
| ~ rpoint(X10)
| ~ ron(X11,vd1092)
| ~ ron(X12,vd1092)
| ~ rpoint(X12)
| rR(X10,X12,X11)
| X10 = X11
| X10 = X12
| ~ rpoint(X11)
| X11 = X12
| ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rline(sK36)
| rS(X11,X12,sK36) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1105]) ).
fof(f1105,plain,
! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| rS(X5,X4,X3) ),
inference(equality_resolution,[],[f1104]) ).
fof(f1104,plain,
! [X2,X3,X4,X5] :
( rS(X5,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1103]) ).
fof(f1103,plain,
! [X2,X3,X1,X4,X5] :
( rS(X1,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X1,X2) ),
inference(equality_resolution,[],[f806]) ).
fof(f806,plain,
! [X2,X3,X0,X1,X4,X5] :
( rS(X1,X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0,X1,X2,X3] :
( rS(X1,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0,X1,X2,X3] :
( rS(X1,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(ennf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> rS(X1,X0,X2) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X300,X301,X302,X303] :
( ( ? [X305] :
( rpoint(X305)
& X300 = X305 )
& ? [X304] :
( rpoint(X304)
& X301 = X304 )
& rline(X303)
& X302 = X303
& rS(X300,X301,X302) )
=> rS(X301,X300,X302) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof(f3140,plain,
( ~ spl84_24
| spl84_209
| ~ spl84_66 ),
inference(avatar_split_clause,[],[f3136,f1818,f3138,f1582]) ).
fof(f3138,plain,
( spl84_209
<=> ! [X0,X1] :
( ~ ron(X0,sK36)
| ron(X1,sK36)
| sK56(sK36,X1) = X1
| ~ rpoint(X1)
| sK56(sK36,X1) = X0
| X0 = X1
| rR(X0,sK56(sK36,X1),X1)
| ~ ron(X1,vd1092)
| ~ rpoint(sK56(sK36,X1))
| ~ ron(sK56(sK36,X1),vd1092)
| ~ rpoint(X0)
| ~ ron(X0,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_209])]) ).
fof(f3136,plain,
( ! [X0,X1] :
( ~ ron(X0,sK36)
| ~ ron(X0,vd1092)
| ~ rpoint(X0)
| ~ ron(X1,vd1092)
| ~ ron(sK56(sK36,X1),vd1092)
| ~ rpoint(sK56(sK36,X1))
| rR(X0,sK56(sK36,X1),X1)
| X0 = X1
| sK56(sK36,X1) = X0
| ~ rpoint(X1)
| sK56(sK36,X1) = X1
| ~ rline(sK36)
| ron(X1,sK36) )
| ~ spl84_66 ),
inference(duplicate_literal_removal,[],[f3115]) ).
fof(f3115,plain,
( ! [X0,X1] :
( ~ ron(X0,sK36)
| ~ ron(X0,vd1092)
| ~ rpoint(X0)
| ~ ron(X1,vd1092)
| ~ ron(sK56(sK36,X1),vd1092)
| ~ rpoint(sK56(sK36,X1))
| rR(X0,sK56(sK36,X1),X1)
| X0 = X1
| sK56(sK36,X1) = X0
| ~ rpoint(X1)
| sK56(sK36,X1) = X1
| ~ rline(sK36)
| ~ rpoint(X1)
| ron(X1,sK36) )
| ~ spl84_66 ),
inference(resolution,[],[f1819,f1057]) ).
fof(f1057,plain,
! [X3,X1] :
( ~ rS(sK56(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
! [X2,X3,X1] :
( ~ rS(sK56(X1,X2),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f760]) ).
fof(f760,plain,
! [X2,X3,X0,X1] :
( ~ rS(sK56(X0,X2),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f552]) ).
fof(f3114,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_208
| ~ spl84_104 ),
inference(avatar_split_clause,[],[f3092,f2380,f3112,f2384,f1582]) ).
fof(f3112,plain,
( spl84_208
<=> ! [X17,X14,X18,X16,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp))
| rS(X14,vd14,sK36)
| X16 = X17
| ~ ron(X16,sK36)
| ~ ron(vd14,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd14,X18)
| ~ ron(X17,X18)
| ~ ron(X17,sK36)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_208])]) ).
fof(f3092,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,sK36)
| ~ rpoint(vd14)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(sK36)
| ~ rline(X18)
| ~ ron(vd14,X15)
| ~ ron(X16,X15)
| ~ ron(X16,sK36)
| ~ ron(X17,sK36)
| ~ ron(X17,X18)
| ~ ron(vd14,X18)
| X16 = X17
| rS(X14,vd14,sK36)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp)) )
| ~ spl84_104 ),
inference(duplicate_literal_removal,[],[f3091]) ).
fof(f3091,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,sK36)
| ~ rpoint(vd14)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(vd14)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(sK36)
| ~ rline(X18)
| ~ ron(vd14,X15)
| ~ ron(X16,X15)
| ~ ron(X16,sK36)
| ~ ron(X17,sK36)
| ~ ron(X17,X18)
| ~ ron(vd14,X18)
| X16 = X17
| rS(X14,vd14,sK36)
| ~ rless(vplus(vangle(vd14,X16,X17),vangle(X16,X17,vd14)),vplus(vperp,vperp)) )
| ~ spl84_104 ),
inference(resolution,[],[f2382,f1333]) ).
fof(f3110,plain,
( ~ spl84_105
| ~ spl84_24
| spl84_207
| ~ spl84_104 ),
inference(avatar_split_clause,[],[f3090,f2380,f3108,f1582,f2384]) ).
fof(f3108,plain,
( spl84_207
<=> ! [X10,X11,X13,X12,X9] :
( ~ rline(X9)
| rS(vd14,vd14,X9)
| ~ rS(X13,vd14,X10)
| ~ rS(X12,vd14,sK36)
| ~ ron(vd14,X10)
| ~ ron(X11,sK36)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd14,X13,X9)
| ~ ron(X13,sK36)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_207])]) ).
fof(f3090,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| ~ rline(X10)
| ~ rline(sK36)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(vd14)
| ~ rpoint(X13)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X11,sK36)
| ~ ron(X12,X9)
| ~ ron(vd14,X10)
| ~ ron(X13,sK36)
| ~ rS(vd14,X13,X9)
| ~ rS(X12,vd14,sK36)
| ~ rS(X13,vd14,X10)
| rS(vd14,vd14,X9) )
| ~ spl84_104 ),
inference(resolution,[],[f2382,f1317]) ).
fof(f3106,plain,
( ~ spl84_24
| spl84_206
| ~ spl84_105
| ~ spl84_104 ),
inference(avatar_split_clause,[],[f3095,f2380,f2384,f3104,f1582]) ).
fof(f3104,plain,
( spl84_206
<=> ! [X3] :
( ~ rpoint(X3)
| rS(vd14,X3,sK36)
| ~ rR(X3,vd14,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_206])]) ).
fof(f3095,plain,
( ! [X3] :
( ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(X3,vd14,vd14)
| rS(vd14,X3,sK36) )
| ~ spl84_104 ),
inference(duplicate_literal_removal,[],[f3087]) ).
fof(f3087,plain,
( ! [X3] :
( ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X3,vd14,vd14)
| rS(vd14,X3,sK36) )
| ~ spl84_104 ),
inference(resolution,[],[f2382,f1174]) ).
fof(f3102,plain,
( ~ spl84_24
| spl84_205
| ~ spl84_105
| ~ spl84_104 ),
inference(avatar_split_clause,[],[f3096,f2380,f2384,f3100,f1582]) ).
fof(f3100,plain,
( spl84_205
<=> ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,sK36)
| ~ rR(X2,vd14,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_205])]) ).
fof(f3096,plain,
( ! [X2] :
( ~ rpoint(vd14)
| ~ rpoint(X2)
| ~ rline(sK36)
| ~ rR(X2,vd14,vd14)
| ~ ron(X2,sK36) )
| ~ spl84_104 ),
inference(duplicate_literal_removal,[],[f3086]) ).
fof(f3086,plain,
( ! [X2] :
( ~ rpoint(vd14)
| ~ rpoint(X2)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X2,vd14,vd14)
| ~ ron(X2,sK36) )
| ~ spl84_104 ),
inference(resolution,[],[f2382,f1154]) ).
fof(f3080,plain,
( spl84_202
| ~ spl84_203
| ~ spl84_204
| ~ spl84_7
| ~ spl84_90 ),
inference(avatar_split_clause,[],[f3066,f2256,f1463,f3077,f3073,f3070]) ).
fof(f3070,plain,
( spl84_202
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK56(sK36,vd1086) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_202])]) ).
fof(f3066,plain,
( ! [X0] :
( ~ ron(sK56(sK36,vd1086),vd1092)
| ~ ron(sK56(sK36,vd1086),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK56(sK36,vd1086) = X0 )
| ~ spl84_7
| ~ spl84_90 ),
inference(resolution,[],[f2258,f1464]) ).
fof(f3059,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_201
| ~ spl84_88 ),
inference(avatar_split_clause,[],[f3037,f2246,f3057,f2088,f1582]) ).
fof(f3057,plain,
( spl84_201
<=> ! [X17,X14,X18,X16,X15] :
( ~ ron(X14,X15)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp))
| rS(X14,vd1086,sK36)
| X16 = X17
| ~ ron(X16,sK36)
| ~ ron(vd1086,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ rpoint(X17)
| ~ ron(vd1086,X18)
| ~ ron(X17,X18)
| ~ ron(X17,sK36)
| ~ rline(X18)
| ~ rpoint(X16)
| ~ ron(X16,X15)
| ~ ron(X14,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_201])]) ).
fof(f3037,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,sK36)
| ~ rpoint(vd1086)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(sK36)
| ~ rline(X18)
| ~ ron(vd1086,X15)
| ~ ron(X16,X15)
| ~ ron(X16,sK36)
| ~ ron(X17,sK36)
| ~ ron(X17,X18)
| ~ ron(vd1086,X18)
| X16 = X17
| rS(X14,vd1086,sK36)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp)) )
| ~ spl84_88 ),
inference(duplicate_literal_removal,[],[f3036]) ).
fof(f3036,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,sK36)
| ~ rpoint(vd1086)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(vd1086)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(sK36)
| ~ rline(X18)
| ~ ron(vd1086,X15)
| ~ ron(X16,X15)
| ~ ron(X16,sK36)
| ~ ron(X17,sK36)
| ~ ron(X17,X18)
| ~ ron(vd1086,X18)
| X16 = X17
| rS(X14,vd1086,sK36)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp)) )
| ~ spl84_88 ),
inference(resolution,[],[f2248,f1333]) ).
fof(f3055,plain,
( ~ spl84_68
| ~ spl84_24
| spl84_200
| ~ spl84_88 ),
inference(avatar_split_clause,[],[f3035,f2246,f3053,f1582,f2088]) ).
fof(f3053,plain,
( spl84_200
<=> ! [X10,X11,X13,X12,X9] :
( ~ rline(X9)
| rS(vd1086,vd1086,X9)
| ~ rS(X13,vd1086,X10)
| ~ rS(X12,vd1086,sK36)
| ~ ron(vd1086,X10)
| ~ ron(X11,sK36)
| ~ ron(X11,X10)
| ~ rpoint(X13)
| ~ rS(vd1086,X13,X9)
| ~ ron(X13,sK36)
| ~ rpoint(X12)
| ~ ron(X12,X9)
| ~ rpoint(X11)
| ~ ron(X11,X9)
| ~ rline(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_200])]) ).
fof(f3035,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| ~ rline(X10)
| ~ rline(sK36)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(vd1086)
| ~ rpoint(X13)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X11,sK36)
| ~ ron(X12,X9)
| ~ ron(vd1086,X10)
| ~ ron(X13,sK36)
| ~ rS(vd1086,X13,X9)
| ~ rS(X12,vd1086,sK36)
| ~ rS(X13,vd1086,X10)
| rS(vd1086,vd1086,X9) )
| ~ spl84_88 ),
inference(resolution,[],[f2248,f1317]) ).
fof(f3051,plain,
( ~ spl84_24
| spl84_199
| ~ spl84_68
| ~ spl84_88 ),
inference(avatar_split_clause,[],[f3040,f2246,f2088,f3049,f1582]) ).
fof(f3049,plain,
( spl84_199
<=> ! [X3] :
( ~ rpoint(X3)
| rS(vd1086,X3,sK36)
| ~ rR(X3,vd1086,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_199])]) ).
fof(f3040,plain,
( ! [X3] :
( ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(X3,vd1086,vd1086)
| rS(vd1086,X3,sK36) )
| ~ spl84_88 ),
inference(duplicate_literal_removal,[],[f3032]) ).
fof(f3032,plain,
( ! [X3] :
( ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X3,vd1086,vd1086)
| rS(vd1086,X3,sK36) )
| ~ spl84_88 ),
inference(resolution,[],[f2248,f1174]) ).
fof(f3047,plain,
( ~ spl84_24
| spl84_198
| ~ spl84_68
| ~ spl84_88 ),
inference(avatar_split_clause,[],[f3041,f2246,f2088,f3045,f1582]) ).
fof(f3045,plain,
( spl84_198
<=> ! [X2] :
( ~ rpoint(X2)
| ~ ron(X2,sK36)
| ~ rR(X2,vd1086,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_198])]) ).
fof(f3041,plain,
( ! [X2] :
( ~ rpoint(vd1086)
| ~ rpoint(X2)
| ~ rline(sK36)
| ~ rR(X2,vd1086,vd1086)
| ~ ron(X2,sK36) )
| ~ spl84_88 ),
inference(duplicate_literal_removal,[],[f3031]) ).
fof(f3031,plain,
( ! [X2] :
( ~ rpoint(vd1086)
| ~ rpoint(X2)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X2,vd1086,vd1086)
| ~ ron(X2,sK36) )
| ~ spl84_88 ),
inference(resolution,[],[f2248,f1154]) ).
fof(f3026,plain,
( spl84_195
| ~ spl84_196
| ~ spl84_197
| ~ spl84_7
| ~ spl84_70 ),
inference(avatar_split_clause,[],[f3012,f2098,f1463,f3023,f3019,f3016]) ).
fof(f3016,plain,
( spl84_195
<=> ! [X0] :
( ~ ron(X0,vd1092)
| sK56(vd1092,vd1086) = X0
| ~ rpoint(X0)
| ~ ron(X0,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_195])]) ).
fof(f3012,plain,
( ! [X0] :
( ~ ron(sK56(vd1092,vd1086),vd1092)
| ~ ron(sK56(vd1092,vd1086),sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| sK56(vd1092,vd1086) = X0 )
| ~ spl84_7
| ~ spl84_70 ),
inference(resolution,[],[f2100,f1464]) ).
fof(f2978,plain,
( spl84_11
| ~ spl84_12
| ~ spl84_13
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f2321,f1463,f1503,f1499,f1496]) ).
fof(f1496,plain,
( spl84_11
<=> ! [X1] :
( ~ ron(X1,vd1092)
| vd1086 = X1
| ~ rpoint(X1)
| ~ ron(X1,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_11])]) ).
fof(f2321,plain,
( ! [X1] :
( ~ ron(vd1086,vd1092)
| ~ ron(vd1086,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| vd1086 = X1 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f668]) ).
fof(f2977,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_194
| ~ spl84_67 ),
inference(avatar_split_clause,[],[f2955,f2084,f2975,f2088,f1738]) ).
fof(f2955,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(vd1086)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(vd1086,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(vd1086,X18)
| X16 = X17
| rS(X14,vd1086,vd1092)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp)) )
| ~ spl84_67 ),
inference(duplicate_literal_removal,[],[f2954]) ).
fof(f2954,plain,
( ! [X18,X16,X14,X17,X15] :
( ~ ron(X14,X15)
| ~ ron(X14,vd1092)
| ~ rpoint(vd1086)
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(vd1086)
| ~ rpoint(X14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ rline(X18)
| ~ ron(vd1086,X15)
| ~ ron(X16,X15)
| ~ ron(X16,vd1092)
| ~ ron(X17,vd1092)
| ~ ron(X17,X18)
| ~ ron(vd1086,X18)
| X16 = X17
| rS(X14,vd1086,vd1092)
| ~ rless(vplus(vangle(vd1086,X16,X17),vangle(X16,X17,vd1086)),vplus(vperp,vperp)) )
| ~ spl84_67 ),
inference(resolution,[],[f2086,f1333]) ).
fof(f2973,plain,
( ~ spl84_68
| ~ spl84_49
| spl84_193
| ~ spl84_67 ),
inference(avatar_split_clause,[],[f2953,f2084,f2971,f1738,f2088]) ).
fof(f2953,plain,
( ! [X10,X11,X9,X12,X13] :
( ~ rline(X9)
| ~ rline(X10)
| ~ rline(vd1092)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(vd1086)
| ~ rpoint(X13)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X11,vd1092)
| ~ ron(X12,X9)
| ~ ron(vd1086,X10)
| ~ ron(X13,vd1092)
| ~ rS(vd1086,X13,X9)
| ~ rS(X12,vd1086,vd1092)
| ~ rS(X13,vd1086,X10)
| rS(vd1086,vd1086,X9) )
| ~ spl84_67 ),
inference(resolution,[],[f2086,f1317]) ).
fof(f2969,plain,
( ~ spl84_49
| spl84_192
| ~ spl84_68
| ~ spl84_67 ),
inference(avatar_split_clause,[],[f2958,f2084,f2088,f2967,f1738]) ).
fof(f2958,plain,
( ! [X3] :
( ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(X3,vd1086,vd1086)
| rS(vd1086,X3,vd1092) )
| ~ spl84_67 ),
inference(duplicate_literal_removal,[],[f2950]) ).
fof(f2950,plain,
( ! [X3] :
( ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X3,vd1086,vd1086)
| rS(vd1086,X3,vd1092) )
| ~ spl84_67 ),
inference(resolution,[],[f2086,f1174]) ).
fof(f2965,plain,
( ~ spl84_49
| spl84_191
| ~ spl84_68
| ~ spl84_67 ),
inference(avatar_split_clause,[],[f2959,f2084,f2088,f2963,f1738]) ).
fof(f2959,plain,
( ! [X2] :
( ~ rpoint(vd1086)
| ~ rpoint(X2)
| ~ rline(vd1092)
| ~ rR(X2,vd1086,vd1086)
| ~ ron(X2,vd1092) )
| ~ spl84_67 ),
inference(duplicate_literal_removal,[],[f2949]) ).
fof(f2949,plain,
( ! [X2] :
( ~ rpoint(vd1086)
| ~ rpoint(X2)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X2,vd1086,vd1086)
| ~ ron(X2,vd1092) )
| ~ spl84_67 ),
inference(resolution,[],[f2086,f1154]) ).
fof(f2931,plain,
( spl84_20
| ~ spl84_21
| ~ spl84_22
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f2336,f1463,f1539,f1535,f1532]) ).
fof(f2336,plain,
( ! [X37] :
( ~ ron(sK83,vd1092)
| ~ ron(sK83,sK36)
| ~ ron(X37,vd1092)
| ~ ron(X37,sK36)
| ~ rpoint(X37)
| sK83 = X37 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f942]) ).
fof(f2930,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_190
| spl84_22 ),
inference(avatar_split_clause,[],[f2849,f1539,f2928,f2856,f1738]) ).
fof(f2928,plain,
( spl84_190
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK83)
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_190])]) ).
fof(f2849,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK83)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK83) )
| spl84_22 ),
inference(resolution,[],[f1541,f1367]) ).
fof(f1541,plain,
( ~ ron(sK83,vd1092)
| spl84_22 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f2926,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_189
| spl84_22 ),
inference(avatar_split_clause,[],[f2848,f1539,f2924,f2856,f1738]) ).
fof(f2924,plain,
( spl84_189
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK83)
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_189])]) ).
fof(f2848,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK83)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK83) )
| spl84_22 ),
inference(resolution,[],[f1541,f1350]) ).
fof(f2922,plain,
( spl84_188
| ~ spl84_173
| ~ spl84_49
| spl84_22 ),
inference(avatar_split_clause,[],[f2846,f1539,f1738,f2856,f2920]) ).
fof(f2920,plain,
( spl84_188
<=> ! [X34,X35] :
( sP31(vd1092,sK83,X34,X35)
| ~ rS(X35,sK83,vd1092)
| ~ rpoint(X35)
| ~ rS(X34,sK83,vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_188])]) ).
fof(f2846,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(sK83)
| sP31(vd1092,sK83,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK83,vd1092)
| ~ rpoint(X35)
| ~ rS(X35,sK83,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1297]) ).
fof(f2918,plain,
( ~ spl84_173
| ~ spl84_49
| spl84_187
| spl84_22 ),
inference(avatar_split_clause,[],[f2845,f1539,f2916,f1738,f2856]) ).
fof(f2916,plain,
( spl84_187
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK83,vd1092)
| ~ ron(sK83,X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,sK83,X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_187])]) ).
fof(f2845,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK83)
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(sK83,X30)
| ~ rS(X33,sK83,X29)
| rS(X32,sK83,vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_22 ),
inference(resolution,[],[f1541,f1254]) ).
fof(f2914,plain,
( spl84_186
| ~ spl84_173
| ~ spl84_49
| spl84_22 ),
inference(avatar_split_clause,[],[f2844,f1539,f1738,f2856,f2912]) ).
fof(f2912,plain,
( spl84_186
<=> ! [X28] :
( sP23(vd1092,sK83,X28)
| ~ rS(X28,sK83,vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_186])]) ).
fof(f2844,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(sK83)
| sP23(vd1092,sK83,X28)
| ~ rpoint(X28)
| ~ rS(X28,sK83,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1213]) ).
fof(f2910,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_185
| spl84_22 ),
inference(avatar_split_clause,[],[f2843,f1539,f2908,f2856,f1738]) ).
fof(f2908,plain,
( spl84_185
<=> ! [X25,X27,X26] :
( vangle(sK83,X25,X26) != vangle(X27,X25,sK83)
| vperp = vangle(X27,X25,sK83)
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_185])]) ).
fof(f2843,plain,
( ! [X26,X27,X25] :
( vangle(sK83,X25,X26) != vangle(X27,X25,sK83)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK83) )
| spl84_22 ),
inference(resolution,[],[f1541,f1206]) ).
fof(f2906,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_184
| spl84_22 ),
inference(avatar_split_clause,[],[f2902,f1539,f2904,f2856,f1738]) ).
fof(f2904,plain,
( spl84_184
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK83)
| vperp = vangle(sK83,X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_184])]) ).
fof(f2902,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK83)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK83,X23,X24) )
| spl84_22 ),
inference(inner_rewriting,[],[f2842]) ).
fof(f2842,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK83)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK83) = vangle(sK83,X23,X24) )
| spl84_22 ),
inference(resolution,[],[f1541,f1201]) ).
fof(f2901,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_183
| spl84_22 ),
inference(avatar_split_clause,[],[f2841,f1539,f2899,f2856,f1738]) ).
fof(f2899,plain,
( spl84_183
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK83,X21) = vplus(vg(X20,X19,sK83),vg(sK83,X19,X21))
| sK83 = X19
| sK83 = X21
| X19 = X21
| sK83 = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_183])]) ).
fof(f2841,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK83)
| X20 = X21
| X19 = X20
| sK83 = X20
| X19 = X21
| sK83 = X21
| sK83 = X19
| ~ rline(vd1092)
| vg(X20,sK83,X21) = vplus(vg(X20,X19,sK83),vg(sK83,X19,X21)) )
| spl84_22 ),
inference(resolution,[],[f1541,f1196]) ).
fof(f2897,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_182
| spl84_22 ),
inference(avatar_split_clause,[],[f2840,f1539,f2895,f2856,f1738]) ).
fof(f2895,plain,
( spl84_182
<=> ! [X18,X16,X17] :
( vg(X16,sK83,X17) != vplus(vg(X16,X18,sK83),vg(sK83,X18,X17))
| rR(X18,X16,X17)
| sK83 = X18
| sK83 = X17
| X17 = X18
| sK83 = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_182])]) ).
fof(f2840,plain,
( ! [X18,X16,X17] :
( vg(X16,sK83,X17) != vplus(vg(X16,X18,sK83),vg(sK83,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK83)
| X16 = X17
| X16 = X18
| sK83 = X16
| X17 = X18
| sK83 = X17
| sK83 = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_22 ),
inference(resolution,[],[f1541,f1191]) ).
fof(f2893,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_181
| spl84_22 ),
inference(avatar_split_clause,[],[f2839,f1539,f2891,f2856,f1738]) ).
fof(f2891,plain,
( spl84_181
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,sK83,vd1092,X12)
| ron(sK83,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_181])]) ).
fof(f2839,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK83)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(sK83,X15)
| sP22(X14,X15,X13,sK83,vd1092,X12)
| vd1092 = X15 )
| spl84_22 ),
inference(resolution,[],[f1541,f1186]) ).
fof(f2889,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_180
| spl84_22 ),
inference(avatar_split_clause,[],[f2838,f1539,f2887,f2856,f1738]) ).
fof(f2887,plain,
( spl84_180
<=> ! [X11,X10] :
( rS(X10,sK83,vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,sK83,vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_180])]) ).
fof(f2838,plain,
( ! [X10,X11] :
( rS(X10,sK83,vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,sK83,vd1092)
| rS(X10,X11,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1158]) ).
fof(f2885,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_179
| spl84_22 ),
inference(avatar_split_clause,[],[f2837,f1539,f2883,f2856,f1738]) ).
fof(f2883,plain,
( spl84_179
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK83)
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_179])]) ).
fof(f2837,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK83)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1141]) ).
fof(f2881,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_178
| spl84_22 ),
inference(avatar_split_clause,[],[f2836,f1539,f2879,f2856,f1738]) ).
fof(f2879,plain,
( spl84_178
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK83) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_178])]) ).
fof(f2836,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK83)
| ~ rline(vd1092)
| ~ rR(X7,X6,sK83)
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1133]) ).
fof(f2877,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_177
| spl84_22 ),
inference(avatar_split_clause,[],[f2835,f1539,f2875,f2856,f1738]) ).
fof(f2875,plain,
( spl84_177
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(sK83,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_177])]) ).
fof(f2835,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK83)
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(sK83,X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1129]) ).
fof(f2873,plain,
( ~ spl84_49
| ~ spl84_173
| spl84_176
| spl84_22 ),
inference(avatar_split_clause,[],[f2834,f1539,f2871,f2856,f1738]) ).
fof(f2871,plain,
( spl84_176
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK83,X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(sK83,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_176])]) ).
fof(f2834,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK83)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(sK83,X2,X3)
| ~ ron(X2,vd1092)
| rS(sK83,X3,vd1092) )
| spl84_22 ),
inference(resolution,[],[f1541,f1121]) ).
fof(f2869,plain,
( spl84_175
| ~ spl84_173
| ~ spl84_49
| spl84_22 ),
inference(avatar_split_clause,[],[f2833,f1539,f1738,f2856,f2866]) ).
fof(f2866,plain,
( spl84_175
<=> rpoint(sK56(vd1092,sK83)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_175])]) ).
fof(f2833,plain,
( ~ rline(vd1092)
| ~ rpoint(sK83)
| rpoint(sK56(vd1092,sK83))
| spl84_22 ),
inference(resolution,[],[f1541,f1055]) ).
fof(f2864,plain,
( spl84_174
| ~ spl84_173
| ~ spl84_49
| spl84_22 ),
inference(avatar_split_clause,[],[f2832,f1539,f1738,f2856,f2861]) ).
fof(f2861,plain,
( spl84_174
<=> sP8(vd1092,sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_174])]) ).
fof(f2832,plain,
( ~ rline(vd1092)
| ~ rpoint(sK83)
| sP8(vd1092,sK83)
| spl84_22 ),
inference(resolution,[],[f1541,f1053]) ).
fof(f2859,plain,
( spl84_172
| ~ spl84_49
| ~ spl84_173
| spl84_22 ),
inference(avatar_split_clause,[],[f2831,f1539,f2856,f1738,f2852]) ).
fof(f2852,plain,
( spl84_172
<=> rS(sK83,sK83,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_172])]) ).
fof(f2831,plain,
( ~ rpoint(sK83)
| ~ rline(vd1092)
| rS(sK83,sK83,vd1092)
| spl84_22 ),
inference(resolution,[],[f1541,f1037]) ).
fof(f2850,plain,
spl84_22,
inference(avatar_contradiction_clause,[],[f2829]) ).
fof(f2829,plain,
( $false
| spl84_22 ),
inference(resolution,[],[f1541,f949]) ).
fof(f2798,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_171
| spl84_18 ),
inference(avatar_split_clause,[],[f2734,f1523,f2796,f2633,f1582]) ).
fof(f2796,plain,
( spl84_171
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK82)
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_171])]) ).
fof(f2734,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK82)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,sK82) )
| spl84_18 ),
inference(resolution,[],[f1525,f1367]) ).
fof(f1525,plain,
( ~ ron(sK82,sK36)
| spl84_18 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f2794,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_170
| spl84_18 ),
inference(avatar_split_clause,[],[f2733,f1523,f2792,f2633,f1582]) ).
fof(f2792,plain,
( spl84_170
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK82)
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_170])]) ).
fof(f2733,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK82)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,sK82) )
| spl84_18 ),
inference(resolution,[],[f1525,f1350]) ).
fof(f2790,plain,
( spl84_169
| ~ spl84_140
| ~ spl84_24
| spl84_18 ),
inference(avatar_split_clause,[],[f2731,f1523,f1582,f2633,f2788]) ).
fof(f2788,plain,
( spl84_169
<=> ! [X34,X35] :
( sP31(sK36,sK82,X34,X35)
| ~ rS(X35,sK82,sK36)
| ~ rpoint(X35)
| ~ rS(X34,sK82,sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_169])]) ).
fof(f2731,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(sK82)
| sP31(sK36,sK82,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK82,sK36)
| ~ rpoint(X35)
| ~ rS(X35,sK82,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1297]) ).
fof(f2786,plain,
( ~ spl84_140
| ~ spl84_24
| spl84_168
| spl84_18 ),
inference(avatar_split_clause,[],[f2730,f1523,f2784,f1582,f2633]) ).
fof(f2784,plain,
( spl84_168
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK82,sK36)
| ~ ron(sK82,X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,sK82,X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_168])]) ).
fof(f2730,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK82)
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(sK82,X30)
| ~ rS(X33,sK82,X29)
| rS(X32,sK82,sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_18 ),
inference(resolution,[],[f1525,f1254]) ).
fof(f2782,plain,
( spl84_167
| ~ spl84_140
| ~ spl84_24
| spl84_18 ),
inference(avatar_split_clause,[],[f2729,f1523,f1582,f2633,f2780]) ).
fof(f2780,plain,
( spl84_167
<=> ! [X28] :
( sP23(sK36,sK82,X28)
| ~ rS(X28,sK82,sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_167])]) ).
fof(f2729,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(sK82)
| sP23(sK36,sK82,X28)
| ~ rpoint(X28)
| ~ rS(X28,sK82,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1213]) ).
fof(f2778,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_152
| spl84_18 ),
inference(avatar_split_clause,[],[f2728,f1523,f2685,f2633,f1582]) ).
fof(f2685,plain,
( spl84_152
<=> ! [X25,X27,X26] :
( vangle(sK82,X25,X26) != vangle(X27,X25,sK82)
| vperp = vangle(X27,X25,sK82)
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_152])]) ).
fof(f2728,plain,
( ! [X26,X27,X25] :
( vangle(sK82,X25,X26) != vangle(X27,X25,sK82)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK82)
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK82) )
| spl84_18 ),
inference(resolution,[],[f1525,f1206]) ).
fof(f2777,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_151
| spl84_18 ),
inference(avatar_split_clause,[],[f2776,f1523,f2681,f2633,f1582]) ).
fof(f2681,plain,
( spl84_151
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,sK82)
| vperp = vangle(sK82,X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_151])]) ).
fof(f2776,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK82)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK82)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK82,X23,X24) )
| spl84_18 ),
inference(inner_rewriting,[],[f2727]) ).
fof(f2727,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK82)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK82)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK82) = vangle(sK82,X23,X24) )
| spl84_18 ),
inference(resolution,[],[f1525,f1201]) ).
fof(f2775,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_150
| spl84_18 ),
inference(avatar_split_clause,[],[f2726,f1523,f2676,f2633,f1582]) ).
fof(f2676,plain,
( spl84_150
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,sK82,X21) = vplus(vg(X20,X19,sK82),vg(sK82,X19,X21))
| sK82 = X19
| sK82 = X21
| X19 = X21
| sK82 = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_150])]) ).
fof(f2726,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK82)
| X20 = X21
| X19 = X20
| sK82 = X20
| X19 = X21
| sK82 = X21
| sK82 = X19
| ~ rline(sK36)
| vg(X20,sK82,X21) = vplus(vg(X20,X19,sK82),vg(sK82,X19,X21)) )
| spl84_18 ),
inference(resolution,[],[f1525,f1196]) ).
fof(f2774,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_149
| spl84_18 ),
inference(avatar_split_clause,[],[f2725,f1523,f2672,f2633,f1582]) ).
fof(f2672,plain,
( spl84_149
<=> ! [X18,X16,X17] :
( vg(X16,sK82,X17) != vplus(vg(X16,X18,sK82),vg(sK82,X18,X17))
| rR(X18,X16,X17)
| sK82 = X18
| sK82 = X17
| X17 = X18
| sK82 = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_149])]) ).
fof(f2725,plain,
( ! [X18,X16,X17] :
( vg(X16,sK82,X17) != vplus(vg(X16,X18,sK82),vg(sK82,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK82)
| X16 = X17
| X16 = X18
| sK82 = X16
| X17 = X18
| sK82 = X17
| sK82 = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_18 ),
inference(resolution,[],[f1525,f1191]) ).
fof(f2773,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_166
| spl84_18 ),
inference(avatar_split_clause,[],[f2724,f1523,f2771,f2633,f1582]) ).
fof(f2771,plain,
( spl84_166
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,sK82,sK36,X12)
| ron(sK82,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_166])]) ).
fof(f2724,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK82)
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(sK82,X15)
| sP22(X14,X15,X13,sK82,sK36,X12)
| sK36 = X15 )
| spl84_18 ),
inference(resolution,[],[f1525,f1186]) ).
fof(f2769,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_165
| spl84_18 ),
inference(avatar_split_clause,[],[f2723,f1523,f2767,f2633,f1582]) ).
fof(f2767,plain,
( spl84_165
<=> ! [X11,X10] :
( rS(X10,sK82,sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,sK82,sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_165])]) ).
fof(f2723,plain,
( ! [X10,X11] :
( rS(X10,sK82,sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK82)
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,sK82,sK36)
| rS(X10,X11,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1158]) ).
fof(f2765,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_164
| spl84_18 ),
inference(avatar_split_clause,[],[f2722,f1523,f2763,f2633,f1582]) ).
fof(f2763,plain,
( spl84_164
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK82)
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_164])]) ).
fof(f2722,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK82)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK82)
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1141]) ).
fof(f2761,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_163
| spl84_18 ),
inference(avatar_split_clause,[],[f2721,f1523,f2759,f2633,f1582]) ).
fof(f2759,plain,
( spl84_163
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK82) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_163])]) ).
fof(f2721,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK82)
| ~ rline(sK36)
| ~ rR(X7,X6,sK82)
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1133]) ).
fof(f2757,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_162
| spl84_18 ),
inference(avatar_split_clause,[],[f2720,f1523,f2755,f2633,f1582]) ).
fof(f2755,plain,
( spl84_162
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(sK82,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_162])]) ).
fof(f2720,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK82)
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(sK82,X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1129]) ).
fof(f2753,plain,
( ~ spl84_24
| ~ spl84_140
| spl84_161
| spl84_18 ),
inference(avatar_split_clause,[],[f2719,f1523,f2751,f2633,f1582]) ).
fof(f2751,plain,
( spl84_161
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK82,X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(sK82,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_161])]) ).
fof(f2719,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK82)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(sK82,X2,X3)
| ~ ron(X2,sK36)
| rS(sK82,X3,sK36) )
| spl84_18 ),
inference(resolution,[],[f1525,f1121]) ).
fof(f2749,plain,
( spl84_160
| ~ spl84_140
| ~ spl84_24
| spl84_18 ),
inference(avatar_split_clause,[],[f2718,f1523,f1582,f2633,f2746]) ).
fof(f2746,plain,
( spl84_160
<=> rpoint(sK56(sK36,sK82)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_160])]) ).
fof(f2718,plain,
( ~ rline(sK36)
| ~ rpoint(sK82)
| rpoint(sK56(sK36,sK82))
| spl84_18 ),
inference(resolution,[],[f1525,f1055]) ).
fof(f2744,plain,
( spl84_159
| ~ spl84_140
| ~ spl84_24
| spl84_18 ),
inference(avatar_split_clause,[],[f2717,f1523,f1582,f2633,f2741]) ).
fof(f2741,plain,
( spl84_159
<=> sP8(sK36,sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_159])]) ).
fof(f2717,plain,
( ~ rline(sK36)
| ~ rpoint(sK82)
| sP8(sK36,sK82)
| spl84_18 ),
inference(resolution,[],[f1525,f1053]) ).
fof(f2739,plain,
( spl84_158
| ~ spl84_24
| ~ spl84_140
| spl84_18 ),
inference(avatar_split_clause,[],[f2716,f1523,f2633,f1582,f2736]) ).
fof(f2736,plain,
( spl84_158
<=> rS(sK82,sK82,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_158])]) ).
fof(f2716,plain,
( ~ rpoint(sK82)
| ~ rline(sK36)
| rS(sK82,sK82,sK36)
| spl84_18 ),
inference(resolution,[],[f1525,f1037]) ).
fof(f2712,plain,
( spl84_17
| ~ spl84_18
| ~ spl84_19
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f2335,f1463,f1527,f1523,f1520]) ).
fof(f1520,plain,
( spl84_17
<=> ! [X36] :
( ~ ron(X36,vd1092)
| sK82 = X36
| ~ rpoint(X36)
| ~ ron(X36,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_17])]) ).
fof(f2335,plain,
( ! [X36] :
( ~ ron(sK82,vd1092)
| ~ ron(sK82,sK36)
| ~ ron(X36,vd1092)
| ~ ron(X36,sK36)
| ~ rpoint(X36)
| sK82 = X36 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f940]) ).
fof(f2711,plain,
spl84_140,
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2710,plain,
( $false
| spl84_140 ),
inference(resolution,[],[f2635,f940]) ).
fof(f2635,plain,
( ~ rpoint(sK82)
| spl84_140 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2707,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_157
| spl84_19 ),
inference(avatar_split_clause,[],[f2627,f1527,f2705,f2633,f1738]) ).
fof(f2705,plain,
( spl84_157
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK82)
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_157])]) ).
fof(f2627,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(sK82)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,sK82) )
| spl84_19 ),
inference(resolution,[],[f1529,f1367]) ).
fof(f1529,plain,
( ~ ron(sK82,vd1092)
| spl84_19 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f2703,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_156
| spl84_19 ),
inference(avatar_split_clause,[],[f2626,f1527,f2701,f2633,f1738]) ).
fof(f2701,plain,
( spl84_156
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK82)
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_156])]) ).
fof(f2626,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(sK82)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,sK82) )
| spl84_19 ),
inference(resolution,[],[f1529,f1350]) ).
fof(f2699,plain,
( spl84_155
| ~ spl84_140
| ~ spl84_49
| spl84_19 ),
inference(avatar_split_clause,[],[f2624,f1527,f1738,f2633,f2697]) ).
fof(f2697,plain,
( spl84_155
<=> ! [X34,X35] :
( sP31(vd1092,sK82,X34,X35)
| ~ rS(X35,sK82,vd1092)
| ~ rpoint(X35)
| ~ rS(X34,sK82,vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_155])]) ).
fof(f2624,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(sK82)
| sP31(vd1092,sK82,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,sK82,vd1092)
| ~ rpoint(X35)
| ~ rS(X35,sK82,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1297]) ).
fof(f2695,plain,
( ~ spl84_140
| ~ spl84_49
| spl84_154
| spl84_19 ),
inference(avatar_split_clause,[],[f2623,f1527,f2693,f1738,f2633]) ).
fof(f2693,plain,
( spl84_154
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,sK82,vd1092)
| ~ ron(sK82,X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,sK82,X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_154])]) ).
fof(f2623,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK82)
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(sK82,X30)
| ~ rS(X33,sK82,X29)
| rS(X32,sK82,vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_19 ),
inference(resolution,[],[f1529,f1254]) ).
fof(f2691,plain,
( spl84_153
| ~ spl84_140
| ~ spl84_49
| spl84_19 ),
inference(avatar_split_clause,[],[f2622,f1527,f1738,f2633,f2689]) ).
fof(f2689,plain,
( spl84_153
<=> ! [X28] :
( sP23(vd1092,sK82,X28)
| ~ rS(X28,sK82,vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_153])]) ).
fof(f2622,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(sK82)
| sP23(vd1092,sK82,X28)
| ~ rpoint(X28)
| ~ rS(X28,sK82,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1213]) ).
fof(f2687,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_152
| spl84_19 ),
inference(avatar_split_clause,[],[f2621,f1527,f2685,f2633,f1738]) ).
fof(f2621,plain,
( ! [X26,X27,X25] :
( vangle(sK82,X25,X26) != vangle(X27,X25,sK82)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,sK82) )
| spl84_19 ),
inference(resolution,[],[f1529,f1206]) ).
fof(f2683,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_151
| spl84_19 ),
inference(avatar_split_clause,[],[f2679,f1527,f2681,f2633,f1738]) ).
fof(f2679,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK82)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(sK82,X23,X24) )
| spl84_19 ),
inference(inner_rewriting,[],[f2620]) ).
fof(f2620,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,sK82)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,sK82) = vangle(sK82,X23,X24) )
| spl84_19 ),
inference(resolution,[],[f1529,f1201]) ).
fof(f2678,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_150
| spl84_19 ),
inference(avatar_split_clause,[],[f2619,f1527,f2676,f2633,f1738]) ).
fof(f2619,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(sK82)
| X20 = X21
| X19 = X20
| sK82 = X20
| X19 = X21
| sK82 = X21
| sK82 = X19
| ~ rline(vd1092)
| vg(X20,sK82,X21) = vplus(vg(X20,X19,sK82),vg(sK82,X19,X21)) )
| spl84_19 ),
inference(resolution,[],[f1529,f1196]) ).
fof(f2674,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_149
| spl84_19 ),
inference(avatar_split_clause,[],[f2618,f1527,f2672,f2633,f1738]) ).
fof(f2618,plain,
( ! [X18,X16,X17] :
( vg(X16,sK82,X17) != vplus(vg(X16,X18,sK82),vg(sK82,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK82)
| X16 = X17
| X16 = X18
| sK82 = X16
| X17 = X18
| sK82 = X17
| sK82 = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_19 ),
inference(resolution,[],[f1529,f1191]) ).
fof(f2670,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_148
| spl84_19 ),
inference(avatar_split_clause,[],[f2617,f1527,f2668,f2633,f1738]) ).
fof(f2668,plain,
( spl84_148
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,sK82,vd1092,X12)
| ron(sK82,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_148])]) ).
fof(f2617,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(sK82)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(sK82,X15)
| sP22(X14,X15,X13,sK82,vd1092,X12)
| vd1092 = X15 )
| spl84_19 ),
inference(resolution,[],[f1529,f1186]) ).
fof(f2666,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_147
| spl84_19 ),
inference(avatar_split_clause,[],[f2616,f1527,f2664,f2633,f1738]) ).
fof(f2664,plain,
( spl84_147
<=> ! [X11,X10] :
( rS(X10,sK82,vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,sK82,vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_147])]) ).
fof(f2616,plain,
( ! [X10,X11] :
( rS(X10,sK82,vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,sK82,vd1092)
| rS(X10,X11,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1158]) ).
fof(f2662,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_146
| spl84_19 ),
inference(avatar_split_clause,[],[f2615,f1527,f2660,f2633,f1738]) ).
fof(f2660,plain,
( spl84_146
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,sK82)
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_146])]) ).
fof(f2615,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,sK82)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1141]) ).
fof(f2658,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_145
| spl84_19 ),
inference(avatar_split_clause,[],[f2614,f1527,f2656,f2633,f1738]) ).
fof(f2656,plain,
( spl84_145
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,sK82) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_145])]) ).
fof(f2614,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(sK82)
| ~ rline(vd1092)
| ~ rR(X7,X6,sK82)
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1133]) ).
fof(f2654,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_144
| spl84_19 ),
inference(avatar_split_clause,[],[f2613,f1527,f2652,f2633,f1738]) ).
fof(f2652,plain,
( spl84_144
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(sK82,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_144])]) ).
fof(f2613,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(sK82)
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(sK82,X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1129]) ).
fof(f2650,plain,
( ~ spl84_49
| ~ spl84_140
| spl84_143
| spl84_19 ),
inference(avatar_split_clause,[],[f2612,f1527,f2648,f2633,f1738]) ).
fof(f2648,plain,
( spl84_143
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(sK82,X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(sK82,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_143])]) ).
fof(f2612,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(sK82)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(sK82,X2,X3)
| ~ ron(X2,vd1092)
| rS(sK82,X3,vd1092) )
| spl84_19 ),
inference(resolution,[],[f1529,f1121]) ).
fof(f2646,plain,
( spl84_142
| ~ spl84_140
| ~ spl84_49
| spl84_19 ),
inference(avatar_split_clause,[],[f2611,f1527,f1738,f2633,f2643]) ).
fof(f2611,plain,
( ~ rline(vd1092)
| ~ rpoint(sK82)
| rpoint(sK56(vd1092,sK82))
| spl84_19 ),
inference(resolution,[],[f1529,f1055]) ).
fof(f2641,plain,
( spl84_141
| ~ spl84_140
| ~ spl84_49
| spl84_19 ),
inference(avatar_split_clause,[],[f2610,f1527,f1738,f2633,f2638]) ).
fof(f2610,plain,
( ~ rline(vd1092)
| ~ rpoint(sK82)
| sP8(vd1092,sK82)
| spl84_19 ),
inference(resolution,[],[f1529,f1053]) ).
fof(f2636,plain,
( spl84_139
| ~ spl84_49
| ~ spl84_140
| spl84_19 ),
inference(avatar_split_clause,[],[f2609,f1527,f2633,f1738,f2629]) ).
fof(f2609,plain,
( ~ rpoint(sK82)
| ~ rline(vd1092)
| rS(sK82,sK82,vd1092)
| spl84_19 ),
inference(resolution,[],[f1529,f1037]) ).
fof(f2558,plain,
( spl84_14
| ~ spl84_15
| ~ spl84_16
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f2323,f1463,f1515,f1511,f1508]) ).
fof(f1508,plain,
( spl84_14
<=> ! [X5] :
( ~ ron(X5,vd1092)
| vd14 = X5
| ~ rpoint(X5)
| ~ ron(X5,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_14])]) ).
fof(f2323,plain,
( ! [X5] :
( ~ ron(vd14,vd1092)
| ~ ron(vd14,sK36)
| ~ ron(X5,vd1092)
| ~ ron(X5,sK36)
| ~ rpoint(X5)
| vd14 = X5 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f667]) ).
fof(f2557,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_138
| spl84_16 ),
inference(avatar_split_clause,[],[f2493,f1515,f2555,f2384,f1738]) ).
fof(f2555,plain,
( spl84_138
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd14)
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_138])]) ).
fof(f2493,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd14)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd14) )
| spl84_16 ),
inference(resolution,[],[f1517,f1367]) ).
fof(f1517,plain,
( ~ ron(vd14,vd1092)
| spl84_16 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f2553,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_137
| spl84_16 ),
inference(avatar_split_clause,[],[f2492,f1515,f2551,f2384,f1738]) ).
fof(f2551,plain,
( spl84_137
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd14)
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_137])]) ).
fof(f2492,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd14)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd14) )
| spl84_16 ),
inference(resolution,[],[f1517,f1350]) ).
fof(f2549,plain,
( spl84_136
| ~ spl84_105
| ~ spl84_49
| spl84_16 ),
inference(avatar_split_clause,[],[f2490,f1515,f1738,f2384,f2547]) ).
fof(f2547,plain,
( spl84_136
<=> ! [X34,X35] :
( sP31(vd1092,vd14,X34,X35)
| ~ rS(X35,vd14,vd1092)
| ~ rpoint(X35)
| ~ rS(X34,vd14,vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_136])]) ).
fof(f2490,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(vd14)
| sP31(vd1092,vd14,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd14,vd1092)
| ~ rpoint(X35)
| ~ rS(X35,vd14,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1297]) ).
fof(f2545,plain,
( ~ spl84_105
| ~ spl84_49
| spl84_135
| spl84_16 ),
inference(avatar_split_clause,[],[f2489,f1515,f2543,f1738,f2384]) ).
fof(f2543,plain,
( spl84_135
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd14,vd1092)
| ~ ron(vd14,X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,vd14,X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_135])]) ).
fof(f2489,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd14)
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(vd14,X30)
| ~ rS(X33,vd14,X29)
| rS(X32,vd14,vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_16 ),
inference(resolution,[],[f1517,f1254]) ).
fof(f2541,plain,
( spl84_134
| ~ spl84_105
| ~ spl84_49
| spl84_16 ),
inference(avatar_split_clause,[],[f2488,f1515,f1738,f2384,f2539]) ).
fof(f2539,plain,
( spl84_134
<=> ! [X28] :
( sP23(vd1092,vd14,X28)
| ~ rS(X28,vd14,vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_134])]) ).
fof(f2488,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(vd14)
| sP23(vd1092,vd14,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd14,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1213]) ).
fof(f2537,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_117
| spl84_16 ),
inference(avatar_split_clause,[],[f2487,f1515,f2436,f2384,f1738]) ).
fof(f2436,plain,
( spl84_117
<=> ! [X25,X27,X26] :
( vangle(vd14,X25,X26) != vangle(X27,X25,vd14)
| vperp = vangle(X27,X25,vd14)
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_117])]) ).
fof(f2487,plain,
( ! [X26,X27,X25] :
( vangle(vd14,X25,X26) != vangle(X27,X25,vd14)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd14) )
| spl84_16 ),
inference(resolution,[],[f1517,f1206]) ).
fof(f2536,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_116
| spl84_16 ),
inference(avatar_split_clause,[],[f2535,f1515,f2432,f2384,f1738]) ).
fof(f2432,plain,
( spl84_116
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,vd14)
| vperp = vangle(vd14,X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_116])]) ).
fof(f2535,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd14)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd14,X23,X24) )
| spl84_16 ),
inference(inner_rewriting,[],[f2486]) ).
fof(f2486,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd14)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd14) = vangle(vd14,X23,X24) )
| spl84_16 ),
inference(resolution,[],[f1517,f1201]) ).
fof(f2534,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_115
| spl84_16 ),
inference(avatar_split_clause,[],[f2485,f1515,f2427,f2384,f1738]) ).
fof(f2427,plain,
( spl84_115
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,vd14,X21) = vplus(vg(X20,X19,vd14),vg(vd14,X19,X21))
| vd14 = X19
| vd14 = X21
| X19 = X21
| vd14 = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_115])]) ).
fof(f2485,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd14)
| X20 = X21
| X19 = X20
| vd14 = X20
| X19 = X21
| vd14 = X21
| vd14 = X19
| ~ rline(vd1092)
| vg(X20,vd14,X21) = vplus(vg(X20,X19,vd14),vg(vd14,X19,X21)) )
| spl84_16 ),
inference(resolution,[],[f1517,f1196]) ).
fof(f2533,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_114
| spl84_16 ),
inference(avatar_split_clause,[],[f2484,f1515,f2423,f2384,f1738]) ).
fof(f2423,plain,
( spl84_114
<=> ! [X18,X16,X17] :
( vg(X16,vd14,X17) != vplus(vg(X16,X18,vd14),vg(vd14,X18,X17))
| rR(X18,X16,X17)
| vd14 = X18
| vd14 = X17
| X17 = X18
| vd14 = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_114])]) ).
fof(f2484,plain,
( ! [X18,X16,X17] :
( vg(X16,vd14,X17) != vplus(vg(X16,X18,vd14),vg(vd14,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd14)
| X16 = X17
| X16 = X18
| vd14 = X16
| X17 = X18
| vd14 = X17
| vd14 = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_16 ),
inference(resolution,[],[f1517,f1191]) ).
fof(f2532,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_133
| spl84_16 ),
inference(avatar_split_clause,[],[f2483,f1515,f2530,f2384,f1738]) ).
fof(f2530,plain,
( spl84_133
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,vd14,vd1092,X12)
| ron(vd14,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_133])]) ).
fof(f2483,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd14)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(vd14,X15)
| sP22(X14,X15,X13,vd14,vd1092,X12)
| vd1092 = X15 )
| spl84_16 ),
inference(resolution,[],[f1517,f1186]) ).
fof(f2528,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_132
| spl84_16 ),
inference(avatar_split_clause,[],[f2482,f1515,f2526,f2384,f1738]) ).
fof(f2526,plain,
( spl84_132
<=> ! [X11,X10] :
( rS(X10,vd14,vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,vd14,vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_132])]) ).
fof(f2482,plain,
( ! [X10,X11] :
( rS(X10,vd14,vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,vd14,vd1092)
| rS(X10,X11,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1158]) ).
fof(f2524,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_131
| spl84_16 ),
inference(avatar_split_clause,[],[f2481,f1515,f2522,f2384,f1738]) ).
fof(f2522,plain,
( spl84_131
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd14)
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_131])]) ).
fof(f2481,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1141]) ).
fof(f2520,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_130
| spl84_16 ),
inference(avatar_split_clause,[],[f2480,f1515,f2518,f2384,f1738]) ).
fof(f2518,plain,
( spl84_130
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_130])]) ).
fof(f2480,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd14)
| ~ rline(vd1092)
| ~ rR(X7,X6,vd14)
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1133]) ).
fof(f2516,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_129
| spl84_16 ),
inference(avatar_split_clause,[],[f2479,f1515,f2514,f2384,f1738]) ).
fof(f2514,plain,
( spl84_129
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(vd14,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_129])]) ).
fof(f2479,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd14)
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(vd14,X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1129]) ).
fof(f2512,plain,
( ~ spl84_49
| ~ spl84_105
| spl84_128
| spl84_16 ),
inference(avatar_split_clause,[],[f2478,f1515,f2510,f2384,f1738]) ).
fof(f2510,plain,
( spl84_128
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd14,X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(vd14,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_128])]) ).
fof(f2478,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(vd14,X2,X3)
| ~ ron(X2,vd1092)
| rS(vd14,X3,vd1092) )
| spl84_16 ),
inference(resolution,[],[f1517,f1121]) ).
fof(f2508,plain,
( spl84_127
| ~ spl84_105
| ~ spl84_49
| spl84_16 ),
inference(avatar_split_clause,[],[f2477,f1515,f1738,f2384,f2505]) ).
fof(f2477,plain,
( ~ rline(vd1092)
| ~ rpoint(vd14)
| rpoint(sK56(vd1092,vd14))
| spl84_16 ),
inference(resolution,[],[f1517,f1055]) ).
fof(f2503,plain,
( spl84_126
| ~ spl84_105
| ~ spl84_49
| spl84_16 ),
inference(avatar_split_clause,[],[f2476,f1515,f1738,f2384,f2500]) ).
fof(f2476,plain,
( ~ rline(vd1092)
| ~ rpoint(vd14)
| sP8(vd1092,vd14)
| spl84_16 ),
inference(resolution,[],[f1517,f1053]) ).
fof(f2498,plain,
( spl84_125
| ~ spl84_49
| ~ spl84_105
| spl84_16 ),
inference(avatar_split_clause,[],[f2475,f1515,f2384,f1738,f2495]) ).
fof(f2475,plain,
( ~ rpoint(vd14)
| ~ rline(vd1092)
| rS(vd14,vd14,vd1092)
| spl84_16 ),
inference(resolution,[],[f1517,f1037]) ).
fof(f2469,plain,
spl84_105,
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| spl84_105 ),
inference(resolution,[],[f2386,f667]) ).
fof(f2386,plain,
( ~ rpoint(vd14)
| spl84_105 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f2466,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_124
| spl84_15 ),
inference(avatar_split_clause,[],[f2378,f1511,f2464,f2384,f1582]) ).
fof(f2464,plain,
( spl84_124
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd14)
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_124])]) ).
fof(f2378,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd14)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd14) )
| spl84_15 ),
inference(resolution,[],[f1513,f1367]) ).
fof(f1513,plain,
( ~ ron(vd14,sK36)
| spl84_15 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f2462,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_123
| spl84_15 ),
inference(avatar_split_clause,[],[f2377,f1511,f2460,f2384,f1582]) ).
fof(f2460,plain,
( spl84_123
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd14)
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_123])]) ).
fof(f2377,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd14)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd14) )
| spl84_15 ),
inference(resolution,[],[f1513,f1350]) ).
fof(f2458,plain,
( spl84_121
| ~ spl84_105
| spl84_122
| ~ spl84_43
| spl84_15 ),
inference(avatar_split_clause,[],[f2376,f1511,f1661,f2456,f2384,f2452]) ).
fof(f2452,plain,
( spl84_121
<=> rinside(vd14,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_121])]) ).
fof(f2456,plain,
( spl84_122
<=> ! [X36,X37] :
( ~ rline(X36)
| ~ ron(vd14,X36)
| sP32(X36,sK36,vd14,X37)
| ~ rpoint(X37)
| ~ ron(X37,X36)
| ~ rinside(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_122])]) ).
fof(f1661,plain,
( spl84_43
<=> rcircle(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_43])]) ).
fof(f2376,plain,
( ! [X36,X37] :
( ~ rcircle(sK36)
| ~ rline(X36)
| ~ rpoint(X37)
| ~ rinside(X37,sK36)
| ~ ron(X37,X36)
| ~ rpoint(vd14)
| rinside(vd14,sK36)
| sP32(X36,sK36,vd14,X37)
| ~ ron(vd14,X36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1301]) ).
fof(f1301,plain,
! [X3,X1,X7,X5] :
( ron(X7,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| sP32(X3,X1,X7,X5)
| ~ ron(X7,X3) ),
inference(equality_resolution,[],[f1300]) ).
fof(f1300,plain,
! [X3,X1,X6,X7,X5] :
( sP32(X3,X1,X6,X5)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1299]) ).
fof(f1299,plain,
! [X3,X1,X6,X7,X4,X5] :
( sP32(X3,X1,X6,X4)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1298]) ).
fof(f1298,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( sP32(X2,X1,X6,X4)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X2) ),
inference(equality_resolution,[],[f912]) ).
fof(f912,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP32(X2,X0,X6,X4)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(cnf_transformation,[],[f487]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP32(X2,X0,X6,X4)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(definition_folding,[],[f412,f486]) ).
fof(f486,plain,
! [X2,X0,X6,X4] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
| ~ sP32(X2,X0,X6,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(flattening,[],[f411]) ).
fof(f411,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(ennf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rinside(X4,X0)
& ron(X4,X2)
& rpoint(X7)
& X6 = X7
& ~ rinside(X6,X0)
& ~ ron(X6,X0)
& ron(X6,X2) )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) ) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X407,X408,X409,X410,X411,X412,X413,X414] :
( ( rcircle(X408)
& X407 = X408
& rline(X410)
& X409 = X410
& rpoint(X412)
& X411 = X412
& rinside(X411,X407)
& ron(X411,X409)
& rpoint(X414)
& X413 = X414
& ~ rinside(X413,X407)
& ~ ron(X413,X407)
& ron(X413,X409) )
=> ? [X415] :
( rpoint(X415)
& ron(X415,X409)
& ron(X415,X407)
& rR(X415,X411,X413) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof(f2450,plain,
( spl84_120
| ~ spl84_105
| ~ spl84_24
| spl84_15 ),
inference(avatar_split_clause,[],[f2375,f1511,f1582,f2384,f2448]) ).
fof(f2448,plain,
( spl84_120
<=> ! [X34,X35] :
( sP31(sK36,vd14,X34,X35)
| ~ rS(X35,vd14,sK36)
| ~ rpoint(X35)
| ~ rS(X34,vd14,sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_120])]) ).
fof(f2375,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(vd14)
| sP31(sK36,vd14,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd14,sK36)
| ~ rpoint(X35)
| ~ rS(X35,vd14,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1297]) ).
fof(f2446,plain,
( ~ spl84_105
| ~ spl84_24
| spl84_119
| spl84_15 ),
inference(avatar_split_clause,[],[f2374,f1511,f2444,f1582,f2384]) ).
fof(f2444,plain,
( spl84_119
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd14,sK36)
| ~ ron(vd14,X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,vd14,X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_119])]) ).
fof(f2374,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd14)
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(vd14,X30)
| ~ rS(X33,vd14,X29)
| rS(X32,vd14,sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_15 ),
inference(resolution,[],[f1513,f1254]) ).
fof(f2442,plain,
( spl84_118
| ~ spl84_105
| ~ spl84_24
| spl84_15 ),
inference(avatar_split_clause,[],[f2373,f1511,f1582,f2384,f2440]) ).
fof(f2440,plain,
( spl84_118
<=> ! [X28] :
( sP23(sK36,vd14,X28)
| ~ rS(X28,vd14,sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_118])]) ).
fof(f2373,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(vd14)
| sP23(sK36,vd14,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd14,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1213]) ).
fof(f2438,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_117
| spl84_15 ),
inference(avatar_split_clause,[],[f2372,f1511,f2436,f2384,f1582]) ).
fof(f2372,plain,
( ! [X26,X27,X25] :
( vangle(vd14,X25,X26) != vangle(X27,X25,vd14)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd14) )
| spl84_15 ),
inference(resolution,[],[f1513,f1206]) ).
fof(f2434,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_116
| spl84_15 ),
inference(avatar_split_clause,[],[f2430,f1511,f2432,f2384,f1582]) ).
fof(f2430,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd14)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd14,X23,X24) )
| spl84_15 ),
inference(inner_rewriting,[],[f2371]) ).
fof(f2371,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd14)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd14) = vangle(vd14,X23,X24) )
| spl84_15 ),
inference(resolution,[],[f1513,f1201]) ).
fof(f2429,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_115
| spl84_15 ),
inference(avatar_split_clause,[],[f2370,f1511,f2427,f2384,f1582]) ).
fof(f2370,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd14)
| X20 = X21
| X19 = X20
| vd14 = X20
| X19 = X21
| vd14 = X21
| vd14 = X19
| ~ rline(sK36)
| vg(X20,vd14,X21) = vplus(vg(X20,X19,vd14),vg(vd14,X19,X21)) )
| spl84_15 ),
inference(resolution,[],[f1513,f1196]) ).
fof(f2425,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_114
| spl84_15 ),
inference(avatar_split_clause,[],[f2369,f1511,f2423,f2384,f1582]) ).
fof(f2369,plain,
( ! [X18,X16,X17] :
( vg(X16,vd14,X17) != vplus(vg(X16,X18,vd14),vg(vd14,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd14)
| X16 = X17
| X16 = X18
| vd14 = X16
| X17 = X18
| vd14 = X17
| vd14 = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_15 ),
inference(resolution,[],[f1513,f1191]) ).
fof(f2421,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_113
| spl84_15 ),
inference(avatar_split_clause,[],[f2368,f1511,f2419,f2384,f1582]) ).
fof(f2419,plain,
( spl84_113
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,vd14,sK36,X12)
| ron(vd14,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_113])]) ).
fof(f2368,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd14)
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(vd14,X15)
| sP22(X14,X15,X13,vd14,sK36,X12)
| sK36 = X15 )
| spl84_15 ),
inference(resolution,[],[f1513,f1186]) ).
fof(f2417,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_112
| spl84_15 ),
inference(avatar_split_clause,[],[f2367,f1511,f2415,f2384,f1582]) ).
fof(f2415,plain,
( spl84_112
<=> ! [X11,X10] :
( rS(X10,vd14,sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,vd14,sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_112])]) ).
fof(f2367,plain,
( ! [X10,X11] :
( rS(X10,vd14,sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,vd14,sK36)
| rS(X10,X11,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1158]) ).
fof(f2413,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_111
| spl84_15 ),
inference(avatar_split_clause,[],[f2366,f1511,f2411,f2384,f1582]) ).
fof(f2411,plain,
( spl84_111
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd14)
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_111])]) ).
fof(f2366,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd14)
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1141]) ).
fof(f2409,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_110
| spl84_15 ),
inference(avatar_split_clause,[],[f2365,f1511,f2407,f2384,f1582]) ).
fof(f2407,plain,
( spl84_110
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_110])]) ).
fof(f2365,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd14)
| ~ rline(sK36)
| ~ rR(X7,X6,vd14)
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1133]) ).
fof(f2405,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_109
| spl84_15 ),
inference(avatar_split_clause,[],[f2364,f1511,f2403,f2384,f1582]) ).
fof(f2403,plain,
( spl84_109
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(vd14,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_109])]) ).
fof(f2364,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd14)
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(vd14,X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1129]) ).
fof(f2401,plain,
( ~ spl84_24
| ~ spl84_105
| spl84_108
| spl84_15 ),
inference(avatar_split_clause,[],[f2363,f1511,f2399,f2384,f1582]) ).
fof(f2399,plain,
( spl84_108
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd14,X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(vd14,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_108])]) ).
fof(f2363,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd14)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(vd14,X2,X3)
| ~ ron(X2,sK36)
| rS(vd14,X3,sK36) )
| spl84_15 ),
inference(resolution,[],[f1513,f1121]) ).
fof(f2397,plain,
( spl84_107
| ~ spl84_105
| ~ spl84_24
| spl84_15 ),
inference(avatar_split_clause,[],[f2362,f1511,f1582,f2384,f2394]) ).
fof(f2362,plain,
( ~ rline(sK36)
| ~ rpoint(vd14)
| rpoint(sK56(sK36,vd14))
| spl84_15 ),
inference(resolution,[],[f1513,f1055]) ).
fof(f2392,plain,
( spl84_106
| ~ spl84_105
| ~ spl84_24
| spl84_15 ),
inference(avatar_split_clause,[],[f2361,f1511,f1582,f2384,f2389]) ).
fof(f2361,plain,
( ~ rline(sK36)
| ~ rpoint(vd14)
| sP8(sK36,vd14)
| spl84_15 ),
inference(resolution,[],[f1513,f1053]) ).
fof(f2387,plain,
( spl84_104
| ~ spl84_24
| ~ spl84_105
| spl84_15 ),
inference(avatar_split_clause,[],[f2360,f1511,f2384,f1582,f2380]) ).
fof(f2360,plain,
( ~ rpoint(vd14)
| ~ rline(sK36)
| rS(vd14,vd14,sK36)
| spl84_15 ),
inference(resolution,[],[f1513,f1037]) ).
fof(f2316,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_103
| spl84_12 ),
inference(avatar_split_clause,[],[f2244,f1499,f2314,f2088,f1582]) ).
fof(f2314,plain,
( spl84_103
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd1086)
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_103])]) ).
fof(f2244,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd1086)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd1086) )
| spl84_12 ),
inference(resolution,[],[f1501,f1367]) ).
fof(f1501,plain,
( ~ ron(vd1086,sK36)
| spl84_12 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f2312,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_102
| spl84_12 ),
inference(avatar_split_clause,[],[f2243,f1499,f2310,f2088,f1582]) ).
fof(f2310,plain,
( spl84_102
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd1086)
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_102])]) ).
fof(f2243,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd1086)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd1086) )
| spl84_12 ),
inference(resolution,[],[f1501,f1350]) ).
fof(f2308,plain,
( spl84_100
| ~ spl84_68
| spl84_101
| ~ spl84_43
| spl84_12 ),
inference(avatar_split_clause,[],[f2242,f1499,f1661,f2306,f2088,f2302]) ).
fof(f2302,plain,
( spl84_100
<=> rinside(vd1086,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_100])]) ).
fof(f2306,plain,
( spl84_101
<=> ! [X36,X37] :
( ~ rline(X36)
| ~ ron(vd1086,X36)
| sP32(X36,sK36,vd1086,X37)
| ~ rpoint(X37)
| ~ ron(X37,X36)
| ~ rinside(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_101])]) ).
fof(f2242,plain,
( ! [X36,X37] :
( ~ rcircle(sK36)
| ~ rline(X36)
| ~ rpoint(X37)
| ~ rinside(X37,sK36)
| ~ ron(X37,X36)
| ~ rpoint(vd1086)
| rinside(vd1086,sK36)
| sP32(X36,sK36,vd1086,X37)
| ~ ron(vd1086,X36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1301]) ).
fof(f2300,plain,
( spl84_99
| ~ spl84_68
| ~ spl84_24
| spl84_12 ),
inference(avatar_split_clause,[],[f2241,f1499,f1582,f2088,f2298]) ).
fof(f2298,plain,
( spl84_99
<=> ! [X34,X35] :
( sP31(sK36,vd1086,X34,X35)
| ~ rS(X35,vd1086,sK36)
| ~ rpoint(X35)
| ~ rS(X34,vd1086,sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_99])]) ).
fof(f2241,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(vd1086)
| sP31(sK36,vd1086,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd1086,sK36)
| ~ rpoint(X35)
| ~ rS(X35,vd1086,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1297]) ).
fof(f2296,plain,
( ~ spl84_68
| ~ spl84_24
| spl84_98
| spl84_12 ),
inference(avatar_split_clause,[],[f2240,f1499,f2294,f1582,f2088]) ).
fof(f2294,plain,
( spl84_98
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd1086,sK36)
| ~ ron(vd1086,X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,vd1086,X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_98])]) ).
fof(f2240,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd1086)
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(vd1086,X30)
| ~ rS(X33,vd1086,X29)
| rS(X32,vd1086,sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_12 ),
inference(resolution,[],[f1501,f1254]) ).
fof(f2292,plain,
( spl84_97
| ~ spl84_68
| ~ spl84_24
| spl84_12 ),
inference(avatar_split_clause,[],[f2239,f1499,f1582,f2088,f2290]) ).
fof(f2290,plain,
( spl84_97
<=> ! [X28] :
( sP23(sK36,vd1086,X28)
| ~ rS(X28,vd1086,sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_97])]) ).
fof(f2239,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(vd1086)
| sP23(sK36,vd1086,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd1086,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1213]) ).
fof(f2288,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_80
| spl84_12 ),
inference(avatar_split_clause,[],[f2238,f1499,f2140,f2088,f1582]) ).
fof(f2140,plain,
( spl84_80
<=> ! [X25,X27,X26] :
( vangle(vd1086,X25,X26) != vangle(X27,X25,vd1086)
| vperp = vangle(X27,X25,vd1086)
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_80])]) ).
fof(f2238,plain,
( ! [X26,X27,X25] :
( vangle(vd1086,X25,X26) != vangle(X27,X25,vd1086)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd1086) )
| spl84_12 ),
inference(resolution,[],[f1501,f1206]) ).
fof(f2287,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_79
| spl84_12 ),
inference(avatar_split_clause,[],[f2286,f1499,f2136,f2088,f1582]) ).
fof(f2136,plain,
( spl84_79
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,vd1086)
| vperp = vangle(vd1086,X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_79])]) ).
fof(f2286,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1086)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd1086,X23,X24) )
| spl84_12 ),
inference(inner_rewriting,[],[f2237]) ).
fof(f2237,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1086)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd1086) = vangle(vd1086,X23,X24) )
| spl84_12 ),
inference(resolution,[],[f1501,f1201]) ).
fof(f2285,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_78
| spl84_12 ),
inference(avatar_split_clause,[],[f2236,f1499,f2131,f2088,f1582]) ).
fof(f2131,plain,
( spl84_78
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,vd1086,X21) = vplus(vg(X20,X19,vd1086),vg(vd1086,X19,X21))
| vd1086 = X19
| vd1086 = X21
| X19 = X21
| vd1086 = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_78])]) ).
fof(f2236,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd1086)
| X20 = X21
| X19 = X20
| vd1086 = X20
| X19 = X21
| vd1086 = X21
| vd1086 = X19
| ~ rline(sK36)
| vg(X20,vd1086,X21) = vplus(vg(X20,X19,vd1086),vg(vd1086,X19,X21)) )
| spl84_12 ),
inference(resolution,[],[f1501,f1196]) ).
fof(f2284,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_77
| spl84_12 ),
inference(avatar_split_clause,[],[f2235,f1499,f2127,f2088,f1582]) ).
fof(f2127,plain,
( spl84_77
<=> ! [X18,X16,X17] :
( vg(X16,vd1086,X17) != vplus(vg(X16,X18,vd1086),vg(vd1086,X18,X17))
| rR(X18,X16,X17)
| vd1086 = X18
| vd1086 = X17
| X17 = X18
| vd1086 = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_77])]) ).
fof(f2235,plain,
( ! [X18,X16,X17] :
( vg(X16,vd1086,X17) != vplus(vg(X16,X18,vd1086),vg(vd1086,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd1086)
| X16 = X17
| X16 = X18
| vd1086 = X16
| X17 = X18
| vd1086 = X17
| vd1086 = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_12 ),
inference(resolution,[],[f1501,f1191]) ).
fof(f2283,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_96
| spl84_12 ),
inference(avatar_split_clause,[],[f2234,f1499,f2281,f2088,f1582]) ).
fof(f2281,plain,
( spl84_96
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,vd1086,sK36,X12)
| ron(vd1086,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_96])]) ).
fof(f2234,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd1086)
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(vd1086,X15)
| sP22(X14,X15,X13,vd1086,sK36,X12)
| sK36 = X15 )
| spl84_12 ),
inference(resolution,[],[f1501,f1186]) ).
fof(f2279,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_95
| spl84_12 ),
inference(avatar_split_clause,[],[f2233,f1499,f2277,f2088,f1582]) ).
fof(f2277,plain,
( spl84_95
<=> ! [X11,X10] :
( rS(X10,vd1086,sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,vd1086,sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_95])]) ).
fof(f2233,plain,
( ! [X10,X11] :
( rS(X10,vd1086,sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,vd1086,sK36)
| rS(X10,X11,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1158]) ).
fof(f2275,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_94
| spl84_12 ),
inference(avatar_split_clause,[],[f2232,f1499,f2273,f2088,f1582]) ).
fof(f2273,plain,
( spl84_94
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd1086)
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_94])]) ).
fof(f2232,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd1086)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1141]) ).
fof(f2271,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_93
| spl84_12 ),
inference(avatar_split_clause,[],[f2231,f1499,f2269,f2088,f1582]) ).
fof(f2269,plain,
( spl84_93
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_93])]) ).
fof(f2231,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd1086)
| ~ rline(sK36)
| ~ rR(X7,X6,vd1086)
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1133]) ).
fof(f2267,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_92
| spl84_12 ),
inference(avatar_split_clause,[],[f2230,f1499,f2265,f2088,f1582]) ).
fof(f2265,plain,
( spl84_92
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(vd1086,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_92])]) ).
fof(f2230,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd1086)
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(vd1086,X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1129]) ).
fof(f2263,plain,
( ~ spl84_24
| ~ spl84_68
| spl84_91
| spl84_12 ),
inference(avatar_split_clause,[],[f2229,f1499,f2261,f2088,f1582]) ).
fof(f2261,plain,
( spl84_91
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd1086,X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(vd1086,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_91])]) ).
fof(f2229,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(vd1086,X2,X3)
| ~ ron(X2,sK36)
| rS(vd1086,X3,sK36) )
| spl84_12 ),
inference(resolution,[],[f1501,f1121]) ).
fof(f2259,plain,
( spl84_90
| ~ spl84_68
| ~ spl84_24
| spl84_12 ),
inference(avatar_split_clause,[],[f2228,f1499,f1582,f2088,f2256]) ).
fof(f2228,plain,
( ~ rline(sK36)
| ~ rpoint(vd1086)
| rpoint(sK56(sK36,vd1086))
| spl84_12 ),
inference(resolution,[],[f1501,f1055]) ).
fof(f2254,plain,
( spl84_89
| ~ spl84_68
| ~ spl84_24
| spl84_12 ),
inference(avatar_split_clause,[],[f2227,f1499,f1582,f2088,f2251]) ).
fof(f2227,plain,
( ~ rline(sK36)
| ~ rpoint(vd1086)
| sP8(sK36,vd1086)
| spl84_12 ),
inference(resolution,[],[f1501,f1053]) ).
fof(f2249,plain,
( spl84_88
| ~ spl84_24
| ~ spl84_68
| spl84_12 ),
inference(avatar_split_clause,[],[f2226,f1499,f2088,f1582,f2246]) ).
fof(f2226,plain,
( ~ rpoint(vd1086)
| ~ rline(sK36)
| rS(vd1086,vd1086,sK36)
| spl84_12 ),
inference(resolution,[],[f1501,f1037]) ).
fof(f2190,plain,
spl84_49,
inference(avatar_contradiction_clause,[],[f2189]) ).
fof(f2189,plain,
( $false
| spl84_49 ),
inference(resolution,[],[f1740,f679]) ).
fof(f679,plain,
rline(vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f1740,plain,
( ~ rline(vd1092)
| spl84_49 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f2176,plain,
spl84_68,
inference(avatar_contradiction_clause,[],[f2175]) ).
fof(f2175,plain,
( $false
| spl84_68 ),
inference(resolution,[],[f2090,f668]) ).
fof(f2090,plain,
( ~ rpoint(vd1086)
| spl84_68 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f2170,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_87
| spl84_13 ),
inference(avatar_split_clause,[],[f2082,f1503,f2168,f2088,f1738]) ).
fof(f2168,plain,
( spl84_87
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd1086)
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_87])]) ).
fof(f2082,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd1086)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd1086) )
| spl84_13 ),
inference(resolution,[],[f1505,f1367]) ).
fof(f2166,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_86
| spl84_13 ),
inference(avatar_split_clause,[],[f2081,f1503,f2164,f2088,f1738]) ).
fof(f2164,plain,
( spl84_86
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd1086)
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_86])]) ).
fof(f2081,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd1086)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd1086) )
| spl84_13 ),
inference(resolution,[],[f1505,f1350]) ).
fof(f2162,plain,
( spl84_84
| ~ spl84_68
| spl84_85
| ~ spl84_63
| spl84_13 ),
inference(avatar_split_clause,[],[f2080,f1503,f1801,f2160,f2088,f2156]) ).
fof(f2156,plain,
( spl84_84
<=> rinside(vd1086,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_84])]) ).
fof(f2160,plain,
( spl84_85
<=> ! [X36,X37] :
( ~ rline(X36)
| ~ ron(vd1086,X36)
| sP32(X36,vd1092,vd1086,X37)
| ~ rpoint(X37)
| ~ ron(X37,X36)
| ~ rinside(X37,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_85])]) ).
fof(f1801,plain,
( spl84_63
<=> rcircle(vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_63])]) ).
fof(f2080,plain,
( ! [X36,X37] :
( ~ rcircle(vd1092)
| ~ rline(X36)
| ~ rpoint(X37)
| ~ rinside(X37,vd1092)
| ~ ron(X37,X36)
| ~ rpoint(vd1086)
| rinside(vd1086,vd1092)
| sP32(X36,vd1092,vd1086,X37)
| ~ ron(vd1086,X36) )
| spl84_13 ),
inference(resolution,[],[f1505,f1301]) ).
fof(f2154,plain,
( spl84_83
| ~ spl84_68
| ~ spl84_49
| spl84_13 ),
inference(avatar_split_clause,[],[f2079,f1503,f1738,f2088,f2152]) ).
fof(f2152,plain,
( spl84_83
<=> ! [X34,X35] :
( sP31(vd1092,vd1086,X34,X35)
| ~ rS(X35,vd1086,vd1092)
| ~ rpoint(X35)
| ~ rS(X34,vd1086,vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_83])]) ).
fof(f2079,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(vd1086)
| sP31(vd1092,vd1086,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd1086,vd1092)
| ~ rpoint(X35)
| ~ rS(X35,vd1086,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1297]) ).
fof(f2150,plain,
( ~ spl84_68
| ~ spl84_49
| spl84_82
| spl84_13 ),
inference(avatar_split_clause,[],[f2078,f1503,f2148,f1738,f2088]) ).
fof(f2148,plain,
( spl84_82
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd1086,vd1092)
| ~ ron(vd1086,X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,vd1086,X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_82])]) ).
fof(f2078,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd1086)
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(vd1086,X30)
| ~ rS(X33,vd1086,X29)
| rS(X32,vd1086,vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_13 ),
inference(resolution,[],[f1505,f1254]) ).
fof(f2146,plain,
( spl84_81
| ~ spl84_68
| ~ spl84_49
| spl84_13 ),
inference(avatar_split_clause,[],[f2077,f1503,f1738,f2088,f2144]) ).
fof(f2144,plain,
( spl84_81
<=> ! [X28] :
( sP23(vd1092,vd1086,X28)
| ~ rS(X28,vd1086,vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_81])]) ).
fof(f2077,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(vd1086)
| sP23(vd1092,vd1086,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd1086,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1213]) ).
fof(f2142,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_80
| spl84_13 ),
inference(avatar_split_clause,[],[f2076,f1503,f2140,f2088,f1738]) ).
fof(f2076,plain,
( ! [X26,X27,X25] :
( vangle(vd1086,X25,X26) != vangle(X27,X25,vd1086)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd1086) )
| spl84_13 ),
inference(resolution,[],[f1505,f1206]) ).
fof(f2138,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_79
| spl84_13 ),
inference(avatar_split_clause,[],[f2134,f1503,f2136,f2088,f1738]) ).
fof(f2134,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1086)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd1086,X23,X24) )
| spl84_13 ),
inference(inner_rewriting,[],[f2075]) ).
fof(f2075,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1086)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd1086) = vangle(vd1086,X23,X24) )
| spl84_13 ),
inference(resolution,[],[f1505,f1201]) ).
fof(f2133,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_78
| spl84_13 ),
inference(avatar_split_clause,[],[f2074,f1503,f2131,f2088,f1738]) ).
fof(f2074,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd1086)
| X20 = X21
| X19 = X20
| vd1086 = X20
| X19 = X21
| vd1086 = X21
| vd1086 = X19
| ~ rline(vd1092)
| vg(X20,vd1086,X21) = vplus(vg(X20,X19,vd1086),vg(vd1086,X19,X21)) )
| spl84_13 ),
inference(resolution,[],[f1505,f1196]) ).
fof(f2129,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_77
| spl84_13 ),
inference(avatar_split_clause,[],[f2073,f1503,f2127,f2088,f1738]) ).
fof(f2073,plain,
( ! [X18,X16,X17] :
( vg(X16,vd1086,X17) != vplus(vg(X16,X18,vd1086),vg(vd1086,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd1086)
| X16 = X17
| X16 = X18
| vd1086 = X16
| X17 = X18
| vd1086 = X17
| vd1086 = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_13 ),
inference(resolution,[],[f1505,f1191]) ).
fof(f2125,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_76
| spl84_13 ),
inference(avatar_split_clause,[],[f2072,f1503,f2123,f2088,f1738]) ).
fof(f2123,plain,
( spl84_76
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,vd1086,vd1092,X12)
| ron(vd1086,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_76])]) ).
fof(f2072,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd1086)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(vd1086,X15)
| sP22(X14,X15,X13,vd1086,vd1092,X12)
| vd1092 = X15 )
| spl84_13 ),
inference(resolution,[],[f1505,f1186]) ).
fof(f2121,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_75
| spl84_13 ),
inference(avatar_split_clause,[],[f2071,f1503,f2119,f2088,f1738]) ).
fof(f2119,plain,
( spl84_75
<=> ! [X11,X10] :
( rS(X10,vd1086,vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,vd1086,vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_75])]) ).
fof(f2071,plain,
( ! [X10,X11] :
( rS(X10,vd1086,vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,vd1086,vd1092)
| rS(X10,X11,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1158]) ).
fof(f2117,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_74
| spl84_13 ),
inference(avatar_split_clause,[],[f2070,f1503,f2115,f2088,f1738]) ).
fof(f2115,plain,
( spl84_74
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd1086)
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_74])]) ).
fof(f2070,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd1086)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1141]) ).
fof(f2113,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_73
| spl84_13 ),
inference(avatar_split_clause,[],[f2069,f1503,f2111,f2088,f1738]) ).
fof(f2111,plain,
( spl84_73
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd1086) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_73])]) ).
fof(f2069,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd1086)
| ~ rline(vd1092)
| ~ rR(X7,X6,vd1086)
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1133]) ).
fof(f2109,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_72
| spl84_13 ),
inference(avatar_split_clause,[],[f2068,f1503,f2107,f2088,f1738]) ).
fof(f2107,plain,
( spl84_72
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(vd1086,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_72])]) ).
fof(f2068,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd1086)
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(vd1086,X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1129]) ).
fof(f2105,plain,
( ~ spl84_49
| ~ spl84_68
| spl84_71
| spl84_13 ),
inference(avatar_split_clause,[],[f2067,f1503,f2103,f2088,f1738]) ).
fof(f2103,plain,
( spl84_71
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd1086,X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(vd1086,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_71])]) ).
fof(f2067,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd1086)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(vd1086,X2,X3)
| ~ ron(X2,vd1092)
| rS(vd1086,X3,vd1092) )
| spl84_13 ),
inference(resolution,[],[f1505,f1121]) ).
fof(f2101,plain,
( spl84_70
| ~ spl84_68
| ~ spl84_49
| spl84_13 ),
inference(avatar_split_clause,[],[f2066,f1503,f1738,f2088,f2098]) ).
fof(f2066,plain,
( ~ rline(vd1092)
| ~ rpoint(vd1086)
| rpoint(sK56(vd1092,vd1086))
| spl84_13 ),
inference(resolution,[],[f1505,f1055]) ).
fof(f2096,plain,
( spl84_69
| ~ spl84_68
| ~ spl84_49
| spl84_13 ),
inference(avatar_split_clause,[],[f2065,f1503,f1738,f2088,f2093]) ).
fof(f2065,plain,
( ~ rline(vd1092)
| ~ rpoint(vd1086)
| sP8(vd1092,vd1086)
| spl84_13 ),
inference(resolution,[],[f1505,f1053]) ).
fof(f2091,plain,
( spl84_67
| ~ spl84_49
| ~ spl84_68
| spl84_13 ),
inference(avatar_split_clause,[],[f2064,f1503,f2088,f1738,f2084]) ).
fof(f2064,plain,
( ~ rpoint(vd1086)
| ~ rline(vd1092)
| rS(vd1086,vd1086,vd1092)
| spl84_13 ),
inference(resolution,[],[f1505,f1037]) ).
fof(f2002,plain,
spl84_9,
inference(avatar_split_clause,[],[f662,f1487]) ).
fof(f662,plain,
ron(vd1089,sK36),
inference(cnf_transformation,[],[f494]) ).
fof(f2001,plain,
spl84_24,
inference(avatar_split_clause,[],[f664,f1582]) ).
fof(f2000,plain,
spl84_21,
inference(avatar_split_clause,[],[f943,f1535]) ).
fof(f943,plain,
ron(sK83,sK36),
inference(definition_unfolding,[],[f663,f941]) ).
fof(f663,plain,
ron(vd1080,sK36),
inference(cnf_transformation,[],[f494]) ).
fof(f1999,plain,
~ spl84_6,
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f1998,plain,
( $false
| ~ spl84_6 ),
inference(trivial_inequality_removal,[],[f1997]) ).
fof(f1997,plain,
( vd1092 != vd1092
| ~ spl84_6 ),
inference(superposition,[],[f665,f1461]) ).
fof(f1461,plain,
( vd1092 = sK36
| ~ spl84_6 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl84_6
<=> vd1092 = sK36 ),
introduced(avatar_definition,[new_symbols(naming,[spl84_6])]) ).
fof(f665,plain,
vd1092 != sK36,
inference(cnf_transformation,[],[f494]) ).
fof(f1975,plain,
( ~ spl84_16
| ~ spl84_6
| spl84_15 ),
inference(avatar_split_clause,[],[f1873,f1511,f1459,f1515]) ).
fof(f1873,plain,
( ~ ron(vd14,vd1092)
| ~ spl84_6
| spl84_15 ),
inference(backward_demodulation,[],[f1513,f1461]) ).
fof(f1820,plain,
( spl84_6
| spl84_66 ),
inference(avatar_split_clause,[],[f1813,f1818,f1459]) ).
fof(f1813,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| X1 = X2
| X0 = X1
| rR(X0,X2,X1)
| ~ rpoint(X2)
| vd1092 = sK36
| ~ ron(X2,vd1092)
| ~ ron(X1,vd1092)
| rS(X2,X1,sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36) ),
inference(resolution,[],[f1374,f679]) ).
fof(f1374,plain,
! [X16,X14,X15,X13] :
( ~ rline(X16)
| ~ rpoint(X14)
| ~ rpoint(X15)
| X13 = X14
| X13 = X15
| X14 = X15
| rR(X14,X13,X15)
| ~ rpoint(X13)
| sK36 = X16
| ~ ron(X13,X16)
| ~ ron(X15,X16)
| rS(X13,X15,sK36)
| ~ ron(X14,X16)
| ~ ron(X14,sK36) ),
inference(resolution,[],[f664,f1150]) ).
fof(f1150,plain,
! [X8,X6,X9,X7,X5] :
( ~ rline(X8)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| rR(X6,X5,X7)
| ~ rline(X9)
| X8 = X9
| ~ ron(X5,X9)
| ~ ron(X7,X9)
| rS(X5,X7,X8)
| ~ ron(X6,X9)
| ~ ron(X6,X8) ),
inference(equality_resolution,[],[f1149]) ).
fof(f1149,plain,
! [X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| ~ rline(X9)
| X4 != X9
| X4 = X8
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| rS(X5,X7,X8)
| ~ ron(X6,X4)
| ~ ron(X6,X8) ),
inference(equality_resolution,[],[f1148]) ).
fof(f1148,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| rS(X5,X7,X3)
| ~ ron(X6,X4)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1147]) ).
fof(f1147,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X2,X4)
| rS(X5,X2,X3)
| ~ ron(X6,X4)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1146]) ).
fof(f1146,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X2,X4)
| rS(X5,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f828]) ).
fof(f828,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X8] :
( ~ rline(X8)
| X3 != X8 )
| ! [X9] :
( ~ rline(X9)
| X4 != X9 )
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(flattening,[],[f349]) ).
fof(f349,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X8] :
( ~ rline(X8)
| X3 != X8 )
| ! [X9] :
( ~ rline(X9)
| X4 != X9 )
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X8] :
( rline(X8)
& X3 = X8 )
& ? [X9] :
( rline(X9)
& X4 = X9 )
& X3 != X4
& ron(X0,X4)
& ron(X2,X4)
& ~ rS(X0,X2,X3)
& ron(X1,X4)
& ron(X1,X3) )
=> rR(X1,X0,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X244,X245,X246,X247,X248] :
( ( ? [X253] :
( rpoint(X253)
& X244 = X253 )
& ? [X252] :
( rpoint(X252)
& X245 = X252 )
& ? [X251] :
( rpoint(X251)
& X246 = X251 )
& X244 != X245
& X244 != X246
& X245 != X246
& ? [X250] :
( rline(X250)
& X247 = X250 )
& ? [X249] :
( rline(X249)
& X248 = X249 )
& X247 != X248
& ron(X244,X248)
& ron(X246,X248)
& ~ rS(X244,X246,X247)
& ron(X245,X248)
& ron(X245,X247) )
=> rR(X245,X244,X246) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).
fof(f1812,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_65
| spl84_10 ),
inference(avatar_split_clause,[],[f1731,f1491,f1810,f1586,f1738]) ).
fof(f1810,plain,
( spl84_65
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd1089)
| ~ rpoint(X57)
| ~ ron(X57,vd1092)
| ~ rpoint(X56)
| ~ ron(X56,vd1092)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_65])]) ).
fof(f1731,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd1089)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(vd1092)
| ~ ron(X56,vd1092)
| ~ ron(X57,vd1092)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,vd1092,X57,vd1089) )
| spl84_10 ),
inference(resolution,[],[f1493,f1367]) ).
fof(f1493,plain,
( ~ ron(vd1089,vd1092)
| spl84_10 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1808,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_64
| spl84_10 ),
inference(avatar_split_clause,[],[f1730,f1491,f1806,f1586,f1738]) ).
fof(f1806,plain,
( spl84_64
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd1089)
| ~ rpoint(X42)
| ~ ron(X42,vd1092)
| ~ rpoint(X41)
| ~ ron(X41,vd1092)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_64])]) ).
fof(f1730,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd1089)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(vd1092)
| ~ ron(X41,vd1092)
| ~ ron(X42,vd1092)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,vd1092,X42,vd1089) )
| spl84_10 ),
inference(resolution,[],[f1493,f1350]) ).
fof(f1804,plain,
( spl84_61
| ~ spl84_25
| spl84_62
| ~ spl84_63
| spl84_10 ),
inference(avatar_split_clause,[],[f1729,f1491,f1801,f1798,f1586,f1794]) ).
fof(f1794,plain,
( spl84_61
<=> rinside(vd1089,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_61])]) ).
fof(f1798,plain,
( spl84_62
<=> ! [X36,X37] :
( ~ rline(X36)
| ~ ron(vd1089,X36)
| sP32(X36,vd1092,vd1089,X37)
| ~ rpoint(X37)
| ~ ron(X37,X36)
| ~ rinside(X37,vd1092) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_62])]) ).
fof(f1729,plain,
( ! [X36,X37] :
( ~ rcircle(vd1092)
| ~ rline(X36)
| ~ rpoint(X37)
| ~ rinside(X37,vd1092)
| ~ ron(X37,X36)
| ~ rpoint(vd1089)
| rinside(vd1089,vd1092)
| sP32(X36,vd1092,vd1089,X37)
| ~ ron(vd1089,X36) )
| spl84_10 ),
inference(resolution,[],[f1493,f1301]) ).
fof(f1792,plain,
( spl84_60
| ~ spl84_25
| ~ spl84_49
| spl84_10 ),
inference(avatar_split_clause,[],[f1728,f1491,f1738,f1586,f1790]) ).
fof(f1790,plain,
( spl84_60
<=> ! [X34,X35] :
( sP31(vd1092,vd1089,X34,X35)
| ~ rS(X35,vd1089,vd1092)
| ~ rpoint(X35)
| ~ rS(X34,vd1089,vd1092)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_60])]) ).
fof(f1728,plain,
( ! [X34,X35] :
( ~ rline(vd1092)
| ~ rpoint(vd1089)
| sP31(vd1092,vd1089,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd1089,vd1092)
| ~ rpoint(X35)
| ~ rS(X35,vd1089,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1297]) ).
fof(f1788,plain,
( ~ spl84_25
| ~ spl84_49
| spl84_59
| spl84_10 ),
inference(avatar_split_clause,[],[f1727,f1491,f1786,f1738,f1586]) ).
fof(f1786,plain,
( spl84_59
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd1089,vd1092)
| ~ ron(vd1089,X30)
| ~ ron(X31,X30)
| ~ ron(X31,vd1092)
| ~ rpoint(X33)
| ~ rS(X33,vd1089,X29)
| ~ ron(X33,vd1092)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_59])]) ).
fof(f1727,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(vd1092)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd1089)
| ~ ron(X31,X29)
| ~ ron(X31,vd1092)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,vd1092)
| ~ ron(vd1089,X30)
| ~ rS(X33,vd1089,X29)
| rS(X32,vd1089,vd1092)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_10 ),
inference(resolution,[],[f1493,f1254]) ).
fof(f1784,plain,
( spl84_58
| ~ spl84_25
| ~ spl84_49
| spl84_10 ),
inference(avatar_split_clause,[],[f1726,f1491,f1738,f1586,f1782]) ).
fof(f1782,plain,
( spl84_58
<=> ! [X28] :
( sP23(vd1092,vd1089,X28)
| ~ rS(X28,vd1089,vd1092)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_58])]) ).
fof(f1726,plain,
( ! [X28] :
( ~ rline(vd1092)
| ~ rpoint(vd1089)
| sP23(vd1092,vd1089,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd1089,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1213]) ).
fof(f1780,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_37
| spl84_10 ),
inference(avatar_split_clause,[],[f1725,f1491,f1638,f1586,f1738]) ).
fof(f1638,plain,
( spl84_37
<=> ! [X25,X27,X26] :
( vangle(vd1089,X25,X26) != vangle(X27,X25,vd1089)
| vperp = vangle(X27,X25,vd1089)
| ~ rR(X25,X27,X26)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_37])]) ).
fof(f1725,plain,
( ! [X26,X27,X25] :
( vangle(vd1089,X25,X26) != vangle(X27,X25,vd1089)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd1089) )
| spl84_10 ),
inference(resolution,[],[f1493,f1206]) ).
fof(f1779,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_36
| spl84_10 ),
inference(avatar_split_clause,[],[f1778,f1491,f1634,f1586,f1738]) ).
fof(f1634,plain,
( spl84_36
<=> ! [X22,X24,X23] :
( vperp != vangle(X22,X23,vd1089)
| vperp = vangle(vd1089,X23,X24)
| ~ rR(X23,X22,X24)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_36])]) ).
fof(f1778,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1089)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd1089,X23,X24) )
| spl84_10 ),
inference(inner_rewriting,[],[f1724]) ).
fof(f1724,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1089)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd1089) = vangle(vd1089,X23,X24) )
| spl84_10 ),
inference(resolution,[],[f1493,f1201]) ).
fof(f1777,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_35
| spl84_10 ),
inference(avatar_split_clause,[],[f1723,f1491,f1629,f1586,f1738]) ).
fof(f1629,plain,
( spl84_35
<=> ! [X20,X21,X19] :
( ~ rR(X19,X20,X21)
| vg(X20,vd1089,X21) = vplus(vg(X20,X19,vd1089),vg(vd1089,X19,X21))
| vd1089 = X19
| vd1089 = X21
| X19 = X21
| vd1089 = X20
| X19 = X20
| X20 = X21
| ~ rpoint(X19)
| ~ rpoint(X21)
| ~ rpoint(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_35])]) ).
fof(f1723,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd1089)
| X20 = X21
| X19 = X20
| vd1089 = X20
| X19 = X21
| vd1089 = X21
| vd1089 = X19
| ~ rline(vd1092)
| vg(X20,vd1089,X21) = vplus(vg(X20,X19,vd1089),vg(vd1089,X19,X21)) )
| spl84_10 ),
inference(resolution,[],[f1493,f1196]) ).
fof(f1776,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_34
| spl84_10 ),
inference(avatar_split_clause,[],[f1722,f1491,f1625,f1586,f1738]) ).
fof(f1625,plain,
( spl84_34
<=> ! [X18,X16,X17] :
( vg(X16,vd1089,X17) != vplus(vg(X16,X18,vd1089),vg(vd1089,X18,X17))
| rR(X18,X16,X17)
| vd1089 = X18
| vd1089 = X17
| X17 = X18
| vd1089 = X16
| X16 = X18
| X16 = X17
| ~ rpoint(X18)
| ~ rpoint(X17)
| ~ rpoint(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_34])]) ).
fof(f1722,plain,
( ! [X18,X16,X17] :
( vg(X16,vd1089,X17) != vplus(vg(X16,X18,vd1089),vg(vd1089,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd1089)
| X16 = X17
| X16 = X18
| vd1089 = X16
| X17 = X18
| vd1089 = X17
| vd1089 = X18
| ~ rline(vd1092)
| rR(X18,X16,X17) )
| spl84_10 ),
inference(resolution,[],[f1493,f1191]) ).
fof(f1775,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_57
| spl84_10 ),
inference(avatar_split_clause,[],[f1721,f1491,f1773,f1586,f1738]) ).
fof(f1773,plain,
( spl84_57
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| vd1092 = X15
| sP22(X14,X15,X13,vd1089,vd1092,X12)
| ron(vd1089,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,vd1092)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,vd1092)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_57])]) ).
fof(f1721,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd1089)
| ~ rline(X15)
| ~ rline(vd1092)
| ~ ron(X12,X15)
| ~ ron(X12,vd1092)
| ~ ron(X13,X15)
| ~ ron(X14,vd1092)
| X12 = X13
| X12 = X14
| ron(vd1089,X15)
| sP22(X14,X15,X13,vd1089,vd1092,X12)
| vd1092 = X15 )
| spl84_10 ),
inference(resolution,[],[f1493,f1186]) ).
fof(f1771,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_56
| spl84_10 ),
inference(avatar_split_clause,[],[f1720,f1491,f1769,f1586,f1738]) ).
fof(f1769,plain,
( spl84_56
<=> ! [X11,X10] :
( rS(X10,vd1089,vd1092)
| rS(X10,X11,vd1092)
| ron(X10,vd1092)
| ~ rpoint(X11)
| rS(X11,vd1089,vd1092)
| ron(X11,vd1092)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_56])]) ).
fof(f1720,plain,
( ! [X10,X11] :
( rS(X10,vd1089,vd1092)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| ron(X10,vd1092)
| ron(X11,vd1092)
| rS(X11,vd1089,vd1092)
| rS(X10,X11,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1158]) ).
fof(f1767,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_55
| spl84_10 ),
inference(avatar_split_clause,[],[f1719,f1491,f1765,f1586,f1738]) ).
fof(f1765,plain,
( spl84_55
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd1089)
| ~ ron(X9,vd1092)
| ~ ron(X8,vd1092)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_55])]) ).
fof(f1719,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd1089)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| X8 = X9
| ~ ron(X8,vd1092)
| ~ ron(X9,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1141]) ).
fof(f1763,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_54
| spl84_10 ),
inference(avatar_split_clause,[],[f1718,f1491,f1761,f1586,f1738]) ).
fof(f1761,plain,
( spl84_54
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,vd1092)
| ~ ron(X6,vd1092)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd1089) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_54])]) ).
fof(f1718,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd1089)
| ~ rline(vd1092)
| ~ rR(X7,X6,vd1089)
| ~ ron(X6,vd1092)
| ~ ron(X7,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1133]) ).
fof(f1759,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_53
| spl84_10 ),
inference(avatar_split_clause,[],[f1717,f1491,f1757,f1586,f1738]) ).
fof(f1757,plain,
( spl84_53
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,vd1092)
| ~ ron(X4,vd1092)
| ~ rR(vd1089,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_53])]) ).
fof(f1717,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd1089)
| ~ rpoint(X5)
| ~ rline(vd1092)
| ~ rR(vd1089,X4,X5)
| ~ ron(X4,vd1092)
| ~ ron(X5,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1129]) ).
fof(f1755,plain,
( ~ spl84_49
| ~ spl84_25
| spl84_52
| spl84_10 ),
inference(avatar_split_clause,[],[f1716,f1491,f1753,f1586,f1738]) ).
fof(f1753,plain,
( spl84_52
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd1089,X3,vd1092)
| ~ ron(X2,vd1092)
| ~ rR(vd1089,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_52])]) ).
fof(f1716,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd1089)
| ~ rpoint(X3)
| ~ rline(vd1092)
| ~ rR(vd1089,X2,X3)
| ~ ron(X2,vd1092)
| rS(vd1089,X3,vd1092) )
| spl84_10 ),
inference(resolution,[],[f1493,f1121]) ).
fof(f1751,plain,
( spl84_51
| ~ spl84_25
| ~ spl84_49
| spl84_10 ),
inference(avatar_split_clause,[],[f1715,f1491,f1738,f1586,f1748]) ).
fof(f1748,plain,
( spl84_51
<=> rpoint(sK56(vd1092,vd1089)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_51])]) ).
fof(f1715,plain,
( ~ rline(vd1092)
| ~ rpoint(vd1089)
| rpoint(sK56(vd1092,vd1089))
| spl84_10 ),
inference(resolution,[],[f1493,f1055]) ).
fof(f1746,plain,
( spl84_50
| ~ spl84_25
| ~ spl84_49
| spl84_10 ),
inference(avatar_split_clause,[],[f1714,f1491,f1738,f1586,f1743]) ).
fof(f1743,plain,
( spl84_50
<=> sP8(vd1092,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_50])]) ).
fof(f1714,plain,
( ~ rline(vd1092)
| ~ rpoint(vd1089)
| sP8(vd1092,vd1089)
| spl84_10 ),
inference(resolution,[],[f1493,f1053]) ).
fof(f1741,plain,
( spl84_48
| ~ spl84_49
| ~ spl84_25
| spl84_10 ),
inference(avatar_split_clause,[],[f1713,f1491,f1586,f1738,f1734]) ).
fof(f1734,plain,
( spl84_48
<=> rS(vd1089,vd1089,vd1092) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_48])]) ).
fof(f1713,plain,
( ~ rpoint(vd1089)
| ~ rline(vd1092)
| rS(vd1089,vd1089,vd1092)
| spl84_10 ),
inference(resolution,[],[f1493,f1037]) ).
fof(f1732,plain,
spl84_10,
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1711,plain,
( $false
| spl84_10 ),
inference(resolution,[],[f1493,f677]) ).
fof(f677,plain,
ron(vd1089,vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f1710,plain,
( spl84_1
| spl84_47 ),
inference(avatar_split_clause,[],[f1691,f1708,f1403]) ).
fof(f1403,plain,
( spl84_1
<=> ! [X34] : ~ rline(X34) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_1])]) ).
fof(f1708,plain,
( spl84_47
<=> ! [X48,X50,X49,X52] :
( rR(X48,X49,X50)
| rinside(X49,X52)
| sP29(X52,X50)
| ~ ron(X48,X52)
| ~ rcircle(X52)
| ~ ron(X50,sK36)
| ~ ron(X48,sK36)
| ~ ron(X49,sK36)
| rR(X50,X49,X48)
| X48 = X50
| X49 = X50
| X48 = X49
| ~ rpoint(X50)
| ~ rpoint(X48)
| ~ rpoint(X49) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_47])]) ).
fof(f1691,plain,
! [X50,X51,X48,X49,X52] :
( rR(X48,X49,X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X50)
| X48 = X49
| X49 = X50
| X48 = X50
| rR(X50,X49,X48)
| ~ ron(X49,sK36)
| ~ ron(X48,sK36)
| ~ ron(X50,sK36)
| ~ rline(X51)
| ~ rcircle(X52)
| ~ ron(X48,X52)
| sP29(X52,X50)
| rinside(X49,X52) ),
inference(duplicate_literal_removal,[],[f1685]) ).
fof(f1685,plain,
! [X50,X51,X48,X49,X52] :
( rR(X48,X49,X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X50)
| X48 = X49
| X49 = X50
| X48 = X50
| rR(X50,X49,X48)
| ~ ron(X49,sK36)
| ~ ron(X48,sK36)
| ~ ron(X50,sK36)
| ~ rpoint(X48)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rline(X51)
| ~ rcircle(X52)
| ~ ron(X48,X52)
| sP29(X52,X50)
| rinside(X49,X52) ),
inference(resolution,[],[f1372,f1282]) ).
fof(f1282,plain,
! [X8,X6,X9,X7,X4] :
( ~ rR(X9,X7,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ ron(X7,X6)
| sP29(X6,X8)
| rinside(X9,X6) ),
inference(equality_resolution,[],[f1281]) ).
fof(f1281,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| sP29(X5,X8)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1280]) ).
fof(f1280,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| sP29(X5,X8)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1279]) ).
fof(f1279,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| sP29(X5,X8)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1278]) ).
fof(f1278,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| sP29(X5,X1)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f894]) ).
fof(f894,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X5)
| sP29(X5,X1)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| sP29(X5,X1)
| ~ rR(X2,X0,X1) ),
inference(definition_folding,[],[f404,f480]) ).
fof(f480,plain,
! [X5,X1] :
( ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ sP29(X5,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f404,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f403]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ( rinside(X0,X5)
| ron(X0,X5) )
& ( rinside(X1,X5)
| ron(X1,X5) )
& rR(X2,X0,X1) )
=> rinside(X2,X5) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X181,X182,X183,X184,X185,X186,X187] :
( ( ? [X190] :
( rpoint(X190)
& X181 = X190 )
& ? [X189] :
( rpoint(X189)
& X182 = X189 )
& ? [X188] :
( rpoint(X188)
& X183 = X188 )
& rline(X185)
& X184 = X185
& rcircle(X187)
& X186 = X187
& ( rinside(X181,X186)
| ron(X181,X186) )
& ( rinside(X182,X186)
| ron(X182,X186) )
& rR(X183,X181,X182) )
=> rinside(X183,X186) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f1706,plain,
( spl84_1
| spl84_46 ),
inference(avatar_split_clause,[],[f1692,f1704,f1403]) ).
fof(f1704,plain,
( spl84_46
<=> ! [X44,X43,X47,X45] :
( rR(X43,X44,X45)
| rinside(X44,X47)
| sP29(X47,X45)
| ~ rinside(X43,X47)
| ~ rcircle(X47)
| ~ ron(X45,sK36)
| ~ ron(X43,sK36)
| ~ ron(X44,sK36)
| rR(X45,X44,X43)
| X43 = X45
| X44 = X45
| X43 = X44
| ~ rpoint(X45)
| ~ rpoint(X43)
| ~ rpoint(X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_46])]) ).
fof(f1692,plain,
! [X46,X47,X44,X45,X43] :
( rR(X43,X44,X45)
| ~ rpoint(X44)
| ~ rpoint(X43)
| ~ rpoint(X45)
| X43 = X44
| X44 = X45
| X43 = X45
| rR(X45,X44,X43)
| ~ ron(X44,sK36)
| ~ ron(X43,sK36)
| ~ ron(X45,sK36)
| ~ rline(X46)
| ~ rcircle(X47)
| ~ rinside(X43,X47)
| sP29(X47,X45)
| rinside(X44,X47) ),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1684,plain,
! [X46,X47,X44,X45,X43] :
( rR(X43,X44,X45)
| ~ rpoint(X44)
| ~ rpoint(X43)
| ~ rpoint(X45)
| X43 = X44
| X44 = X45
| X43 = X45
| rR(X45,X44,X43)
| ~ ron(X44,sK36)
| ~ ron(X43,sK36)
| ~ ron(X45,sK36)
| ~ rpoint(X43)
| ~ rpoint(X45)
| ~ rpoint(X44)
| ~ rline(X46)
| ~ rcircle(X47)
| ~ rinside(X43,X47)
| sP29(X47,X45)
| rinside(X44,X47) ),
inference(resolution,[],[f1372,f1277]) ).
fof(f1277,plain,
! [X8,X6,X9,X7,X4] :
( ~ rR(X9,X7,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| sP29(X6,X8)
| rinside(X9,X6) ),
inference(equality_resolution,[],[f1276]) ).
fof(f1276,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| sP29(X5,X8)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1275]) ).
fof(f1275,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| sP29(X5,X8)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1274]) ).
fof(f1274,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| sP29(X5,X8)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1273]) ).
fof(f1273,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| sP29(X5,X1)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f895]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X0,X5)
| sP29(X5,X1)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
fof(f1672,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_45
| spl84_9 ),
inference(avatar_split_clause,[],[f1575,f1487,f1670,f1586,f1582]) ).
fof(f1670,plain,
( spl84_45
<=> ! [X65,X58,X59,X56,X54,X57,X55,X62,X60,X63,X53,X66,X61,X67,X64] :
( ~ rpoint(X53)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd1089)
| ~ rpoint(X57)
| ~ ron(X57,sK36)
| ~ rpoint(X56)
| ~ ron(X56,sK36)
| ~ rpoint(X58)
| ~ rpoint(X66)
| ~ rpoint(X65)
| ~ rpoint(X64)
| ~ rpoint(X63)
| ~ rpoint(X62)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| ~ rpoint(X67)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| X54 = X55
| X53 = X55
| X53 = X54
| ~ rpoint(X55)
| ~ rpoint(X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_45])]) ).
fof(f1575,plain,
( ! [X65,X58,X59,X56,X54,X57,X55,X62,X63,X53,X60,X66,X61,X67,X64] :
( ~ rpoint(X53)
| ~ rpoint(X54)
| ~ rpoint(X55)
| X53 = X54
| X53 = X55
| X54 = X55
| ~ rpoint(X56)
| ~ rpoint(X57)
| ~ rpoint(vd1089)
| ~ rpoint(X58)
| ~ rpoint(X59)
| ~ rpoint(X60)
| ~ rpoint(X61)
| ~ rpoint(X62)
| ~ rpoint(X63)
| ~ rpoint(X64)
| ~ rpoint(X65)
| ~ rpoint(X66)
| ~ rpoint(X67)
| ~ rline(sK36)
| ~ ron(X56,sK36)
| ~ ron(X57,sK36)
| vangle(X62,X63,X64) = vangle(X65,X66,X67)
| sP35(X61,X60,X59,X58,X67,X66,X65,X64,X63,X62,X56,X53,X54,X55,sK36,X57,vd1089) )
| spl84_9 ),
inference(resolution,[],[f1489,f1367]) ).
fof(f1489,plain,
( ~ ron(vd1089,sK36)
| spl84_9 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1668,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_44
| spl84_9 ),
inference(avatar_split_clause,[],[f1574,f1487,f1666,f1586,f1582]) ).
fof(f1666,plain,
( spl84_44
<=> ! [X50,X40,X38,X41,X48,X46,X49,X47,X39,X44,X45,X52,X51,X42,X43] :
( ~ rpoint(X38)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd1089)
| ~ rpoint(X42)
| ~ ron(X42,sK36)
| ~ rpoint(X41)
| ~ ron(X41,sK36)
| ~ rpoint(X43)
| vf(X43,X44) = vf(X45,X46)
| ~ rpoint(X52)
| ~ rpoint(X51)
| ~ rpoint(X50)
| ~ rpoint(X49)
| ~ rpoint(X48)
| ~ rpoint(X47)
| ~ rpoint(X46)
| ~ rpoint(X45)
| ~ rpoint(X44)
| X39 = X40
| X38 = X40
| X38 = X39
| ~ rpoint(X40)
| ~ rpoint(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_44])]) ).
fof(f1574,plain,
( ! [X50,X40,X38,X41,X39,X46,X48,X49,X51,X47,X44,X45,X52,X42,X43] :
( ~ rpoint(X38)
| ~ rpoint(X39)
| ~ rpoint(X40)
| X38 = X39
| X38 = X40
| X39 = X40
| ~ rpoint(X41)
| ~ rpoint(X42)
| ~ rpoint(vd1089)
| ~ rpoint(X43)
| ~ rpoint(X44)
| ~ rpoint(X45)
| ~ rpoint(X46)
| ~ rpoint(X47)
| ~ rpoint(X48)
| ~ rpoint(X49)
| ~ rpoint(X50)
| ~ rpoint(X51)
| ~ rpoint(X52)
| ~ rline(sK36)
| ~ ron(X41,sK36)
| ~ ron(X42,sK36)
| vf(X43,X44) = vf(X45,X46)
| sP35(X46,X45,X44,X43,X52,X51,X50,X49,X48,X47,X41,X38,X39,X40,sK36,X42,vd1089) )
| spl84_9 ),
inference(resolution,[],[f1489,f1350]) ).
fof(f1664,plain,
( spl84_41
| ~ spl84_25
| spl84_42
| ~ spl84_43
| spl84_9 ),
inference(avatar_split_clause,[],[f1573,f1487,f1661,f1658,f1586,f1654]) ).
fof(f1654,plain,
( spl84_41
<=> rinside(vd1089,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_41])]) ).
fof(f1658,plain,
( spl84_42
<=> ! [X36,X37] :
( ~ rline(X36)
| ~ ron(vd1089,X36)
| sP32(X36,sK36,vd1089,X37)
| ~ rpoint(X37)
| ~ ron(X37,X36)
| ~ rinside(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_42])]) ).
fof(f1573,plain,
( ! [X36,X37] :
( ~ rcircle(sK36)
| ~ rline(X36)
| ~ rpoint(X37)
| ~ rinside(X37,sK36)
| ~ ron(X37,X36)
| ~ rpoint(vd1089)
| rinside(vd1089,sK36)
| sP32(X36,sK36,vd1089,X37)
| ~ ron(vd1089,X36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1301]) ).
fof(f1652,plain,
( spl84_40
| ~ spl84_25
| ~ spl84_24
| spl84_9 ),
inference(avatar_split_clause,[],[f1572,f1487,f1582,f1586,f1650]) ).
fof(f1650,plain,
( spl84_40
<=> ! [X34,X35] :
( sP31(sK36,vd1089,X34,X35)
| ~ rS(X35,vd1089,sK36)
| ~ rpoint(X35)
| ~ rS(X34,vd1089,sK36)
| ~ rpoint(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_40])]) ).
fof(f1572,plain,
( ! [X34,X35] :
( ~ rline(sK36)
| ~ rpoint(vd1089)
| sP31(sK36,vd1089,X34,X35)
| ~ rpoint(X34)
| ~ rS(X34,vd1089,sK36)
| ~ rpoint(X35)
| ~ rS(X35,vd1089,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1297]) ).
fof(f1648,plain,
( ~ spl84_25
| ~ spl84_24
| spl84_39
| spl84_9 ),
inference(avatar_split_clause,[],[f1571,f1487,f1646,f1582,f1586]) ).
fof(f1646,plain,
( spl84_39
<=> ! [X31,X33,X29,X32,X30] :
( ~ rline(X29)
| X31 = X32
| rS(X32,X33,X30)
| rS(X32,vd1089,sK36)
| ~ ron(vd1089,X30)
| ~ ron(X31,X30)
| ~ ron(X31,sK36)
| ~ rpoint(X33)
| ~ rS(X33,vd1089,X29)
| ~ ron(X33,sK36)
| ~ rpoint(X32)
| ~ ron(X32,X29)
| ~ rpoint(X31)
| ~ ron(X31,X29)
| ~ rline(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_39])]) ).
fof(f1571,plain,
( ! [X31,X29,X32,X30,X33] :
( ~ rline(X29)
| ~ rline(sK36)
| ~ rline(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(vd1089)
| ~ ron(X31,X29)
| ~ ron(X31,sK36)
| ~ ron(X31,X30)
| ~ ron(X32,X29)
| ~ ron(X33,sK36)
| ~ ron(vd1089,X30)
| ~ rS(X33,vd1089,X29)
| rS(X32,vd1089,sK36)
| rS(X32,X33,X30)
| X31 = X32 )
| spl84_9 ),
inference(resolution,[],[f1489,f1254]) ).
fof(f1644,plain,
( spl84_38
| ~ spl84_25
| ~ spl84_24
| spl84_9 ),
inference(avatar_split_clause,[],[f1570,f1487,f1582,f1586,f1642]) ).
fof(f1642,plain,
( spl84_38
<=> ! [X28] :
( sP23(sK36,vd1089,X28)
| ~ rS(X28,vd1089,sK36)
| ~ rpoint(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_38])]) ).
fof(f1570,plain,
( ! [X28] :
( ~ rline(sK36)
| ~ rpoint(vd1089)
| sP23(sK36,vd1089,X28)
| ~ rpoint(X28)
| ~ rS(X28,vd1089,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1213]) ).
fof(f1640,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_37
| spl84_9 ),
inference(avatar_split_clause,[],[f1569,f1487,f1638,f1586,f1582]) ).
fof(f1569,plain,
( ! [X26,X27,X25] :
( vangle(vd1089,X25,X26) != vangle(X27,X25,vd1089)
| ~ rpoint(X27)
| ~ rpoint(X26)
| ~ rpoint(X25)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| ~ rR(X25,X27,X26)
| vperp = vangle(X27,X25,vd1089) )
| spl84_9 ),
inference(resolution,[],[f1489,f1206]) ).
fof(f1636,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_36
| spl84_9 ),
inference(avatar_split_clause,[],[f1632,f1487,f1634,f1586,f1582]) ).
fof(f1632,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1089)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vperp = vangle(vd1089,X23,X24) )
| spl84_9 ),
inference(inner_rewriting,[],[f1568]) ).
fof(f1568,plain,
( ! [X24,X22,X23] :
( vperp != vangle(X22,X23,vd1089)
| ~ rpoint(X22)
| ~ rpoint(X24)
| ~ rpoint(X23)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| ~ rR(X23,X22,X24)
| vangle(X22,X23,vd1089) = vangle(vd1089,X23,X24) )
| spl84_9 ),
inference(resolution,[],[f1489,f1201]) ).
fof(f1631,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_35
| spl84_9 ),
inference(avatar_split_clause,[],[f1567,f1487,f1629,f1586,f1582]) ).
fof(f1567,plain,
( ! [X21,X19,X20] :
( ~ rR(X19,X20,X21)
| ~ rpoint(X20)
| ~ rpoint(X21)
| ~ rpoint(X19)
| ~ rpoint(vd1089)
| X20 = X21
| X19 = X20
| vd1089 = X20
| X19 = X21
| vd1089 = X21
| vd1089 = X19
| ~ rline(sK36)
| vg(X20,vd1089,X21) = vplus(vg(X20,X19,vd1089),vg(vd1089,X19,X21)) )
| spl84_9 ),
inference(resolution,[],[f1489,f1196]) ).
fof(f1627,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_34
| spl84_9 ),
inference(avatar_split_clause,[],[f1566,f1487,f1625,f1586,f1582]) ).
fof(f1566,plain,
( ! [X18,X16,X17] :
( vg(X16,vd1089,X17) != vplus(vg(X16,X18,vd1089),vg(vd1089,X18,X17))
| ~ rpoint(X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(vd1089)
| X16 = X17
| X16 = X18
| vd1089 = X16
| X17 = X18
| vd1089 = X17
| vd1089 = X18
| ~ rline(sK36)
| rR(X18,X16,X17) )
| spl84_9 ),
inference(resolution,[],[f1489,f1191]) ).
fof(f1623,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_33
| spl84_9 ),
inference(avatar_split_clause,[],[f1565,f1487,f1621,f1586,f1582]) ).
fof(f1621,plain,
( spl84_33
<=> ! [X13,X14,X12,X15] :
( ~ rpoint(X12)
| sK36 = X15
| sP22(X14,X15,X13,vd1089,sK36,X12)
| ron(vd1089,X15)
| X12 = X14
| X12 = X13
| ~ ron(X12,sK36)
| ~ ron(X12,X15)
| ~ rline(X15)
| ~ rpoint(X14)
| ~ ron(X14,sK36)
| ~ rpoint(X13)
| ~ ron(X13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_33])]) ).
fof(f1565,plain,
( ! [X14,X15,X12,X13] :
( ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ rpoint(vd1089)
| ~ rline(X15)
| ~ rline(sK36)
| ~ ron(X12,X15)
| ~ ron(X12,sK36)
| ~ ron(X13,X15)
| ~ ron(X14,sK36)
| X12 = X13
| X12 = X14
| ron(vd1089,X15)
| sP22(X14,X15,X13,vd1089,sK36,X12)
| sK36 = X15 )
| spl84_9 ),
inference(resolution,[],[f1489,f1186]) ).
fof(f1619,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_32
| spl84_9 ),
inference(avatar_split_clause,[],[f1564,f1487,f1617,f1586,f1582]) ).
fof(f1617,plain,
( spl84_32
<=> ! [X11,X10] :
( rS(X10,vd1089,sK36)
| rS(X10,X11,sK36)
| ron(X10,sK36)
| ~ rpoint(X11)
| rS(X11,vd1089,sK36)
| ron(X11,sK36)
| ~ rpoint(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_32])]) ).
fof(f1564,plain,
( ! [X10,X11] :
( rS(X10,vd1089,sK36)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| ron(X10,sK36)
| ron(X11,sK36)
| rS(X11,vd1089,sK36)
| rS(X10,X11,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1158]) ).
fof(f1615,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_31
| spl84_9 ),
inference(avatar_split_clause,[],[f1563,f1487,f1613,f1586,f1582]) ).
fof(f1613,plain,
( spl84_31
<=> ! [X9,X8] :
( vd684 != vg(X8,X9,vd1089)
| ~ ron(X9,sK36)
| ~ ron(X8,sK36)
| X8 = X9
| ~ rpoint(X9)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_31])]) ).
fof(f1563,plain,
( ! [X8,X9] :
( vd684 != vg(X8,X9,vd1089)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| X8 = X9
| ~ ron(X8,sK36)
| ~ ron(X9,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1141]) ).
fof(f1611,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_30
| spl84_9 ),
inference(avatar_split_clause,[],[f1562,f1487,f1609,f1586,f1582]) ).
fof(f1609,plain,
( spl84_30
<=> ! [X6,X7] :
( ~ rpoint(X6)
| ~ ron(X7,sK36)
| ~ ron(X6,sK36)
| ~ rpoint(X7)
| ~ rR(X7,X6,vd1089) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_30])]) ).
fof(f1562,plain,
( ! [X6,X7] :
( ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(vd1089)
| ~ rline(sK36)
| ~ rR(X7,X6,vd1089)
| ~ ron(X6,sK36)
| ~ ron(X7,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1133]) ).
fof(f1607,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_29
| spl84_9 ),
inference(avatar_split_clause,[],[f1561,f1487,f1605,f1586,f1582]) ).
fof(f1605,plain,
( spl84_29
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ ron(X5,sK36)
| ~ ron(X4,sK36)
| ~ rR(vd1089,X4,X5)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_29])]) ).
fof(f1561,plain,
( ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(vd1089)
| ~ rpoint(X5)
| ~ rline(sK36)
| ~ rR(vd1089,X4,X5)
| ~ ron(X4,sK36)
| ~ ron(X5,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1129]) ).
fof(f1603,plain,
( ~ spl84_24
| ~ spl84_25
| spl84_28
| spl84_9 ),
inference(avatar_split_clause,[],[f1560,f1487,f1601,f1586,f1582]) ).
fof(f1601,plain,
( spl84_28
<=> ! [X2,X3] :
( ~ rpoint(X2)
| rS(vd1089,X3,sK36)
| ~ ron(X2,sK36)
| ~ rR(vd1089,X2,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_28])]) ).
fof(f1560,plain,
( ! [X2,X3] :
( ~ rpoint(X2)
| ~ rpoint(vd1089)
| ~ rpoint(X3)
| ~ rline(sK36)
| ~ rR(vd1089,X2,X3)
| ~ ron(X2,sK36)
| rS(vd1089,X3,sK36) )
| spl84_9 ),
inference(resolution,[],[f1489,f1121]) ).
fof(f1599,plain,
( spl84_27
| ~ spl84_25
| ~ spl84_24
| spl84_9 ),
inference(avatar_split_clause,[],[f1559,f1487,f1582,f1586,f1596]) ).
fof(f1596,plain,
( spl84_27
<=> rpoint(sK56(sK36,vd1089)) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_27])]) ).
fof(f1559,plain,
( ~ rline(sK36)
| ~ rpoint(vd1089)
| rpoint(sK56(sK36,vd1089))
| spl84_9 ),
inference(resolution,[],[f1489,f1055]) ).
fof(f1594,plain,
( spl84_26
| ~ spl84_25
| ~ spl84_24
| spl84_9 ),
inference(avatar_split_clause,[],[f1558,f1487,f1582,f1586,f1591]) ).
fof(f1591,plain,
( spl84_26
<=> sP8(sK36,vd1089) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_26])]) ).
fof(f1558,plain,
( ~ rline(sK36)
| ~ rpoint(vd1089)
| sP8(sK36,vd1089)
| spl84_9 ),
inference(resolution,[],[f1489,f1053]) ).
fof(f1589,plain,
( spl84_23
| ~ spl84_24
| ~ spl84_25
| spl84_9 ),
inference(avatar_split_clause,[],[f1557,f1487,f1586,f1582,f1578]) ).
fof(f1578,plain,
( spl84_23
<=> rS(vd1089,vd1089,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_23])]) ).
fof(f1557,plain,
( ~ rpoint(vd1089)
| ~ rline(sK36)
| rS(vd1089,vd1089,sK36)
| spl84_9 ),
inference(resolution,[],[f1489,f1037]) ).
fof(f1576,plain,
spl84_9,
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1555,plain,
( $false
| spl84_9 ),
inference(resolution,[],[f1489,f662]) ).
fof(f1542,plain,
( spl84_20
| ~ spl84_21
| ~ spl84_22
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f1482,f1463,f1539,f1535,f1532]) ).
fof(f1482,plain,
( ! [X37] :
( ~ ron(sK83,vd1092)
| ~ ron(sK83,sK36)
| ~ ron(X37,vd1092)
| ~ ron(X37,sK36)
| ~ rpoint(X37)
| sK83 = X37 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f942]) ).
fof(f1530,plain,
( spl84_17
| ~ spl84_18
| ~ spl84_19
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f1481,f1463,f1527,f1523,f1520]) ).
fof(f1481,plain,
( ! [X36] :
( ~ ron(sK82,vd1092)
| ~ ron(sK82,sK36)
| ~ ron(X36,vd1092)
| ~ ron(X36,sK36)
| ~ rpoint(X36)
| sK82 = X36 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f940]) ).
fof(f1518,plain,
( spl84_14
| ~ spl84_15
| ~ spl84_16
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f1469,f1463,f1515,f1511,f1508]) ).
fof(f1469,plain,
( ! [X5] :
( ~ ron(vd14,vd1092)
| ~ ron(vd14,sK36)
| ~ ron(X5,vd1092)
| ~ ron(X5,sK36)
| ~ rpoint(X5)
| vd14 = X5 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f667]) ).
fof(f1506,plain,
( spl84_11
| ~ spl84_12
| ~ spl84_13
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f1467,f1463,f1503,f1499,f1496]) ).
fof(f1467,plain,
( ! [X1] :
( ~ ron(vd1086,vd1092)
| ~ ron(vd1086,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| vd1086 = X1 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f668]) ).
fof(f1494,plain,
( spl84_8
| ~ spl84_9
| ~ spl84_10
| ~ spl84_7 ),
inference(avatar_split_clause,[],[f1466,f1463,f1491,f1487,f1484]) ).
fof(f1466,plain,
( ! [X0] :
( ~ ron(vd1089,vd1092)
| ~ ron(vd1089,sK36)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK36)
| ~ rpoint(X0)
| vd1089 = X0 )
| ~ spl84_7 ),
inference(resolution,[],[f1464,f669]) ).
fof(f1465,plain,
( spl84_6
| spl84_7 ),
inference(avatar_split_clause,[],[f1454,f1463,f1459]) ).
fof(f1454,plain,
! [X0,X1] :
( ~ rpoint(X0)
| X0 = X1
| vd1092 = sK36
| ~ rpoint(X1)
| ~ ron(X1,sK36)
| ~ ron(X1,vd1092)
| ~ ron(X0,sK36)
| ~ ron(X0,vd1092) ),
inference(resolution,[],[f1371,f679]) ).
fof(f1371,plain,
! [X6,X4,X5] :
( ~ rline(X6)
| ~ rpoint(X5)
| X4 = X5
| sK36 = X6
| ~ rpoint(X4)
| ~ ron(X4,sK36)
| ~ ron(X4,X6)
| ~ ron(X5,sK36)
| ~ ron(X5,X6) ),
inference(resolution,[],[f664,f1084]) ).
fof(f1084,plain,
! [X6,X7,X4,X5] :
( ~ rline(X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| X6 = X7
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7) ),
inference(equality_resolution,[],[f1083]) ).
fof(f1083,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1082]) ).
fof(f1082,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1081]) ).
fof(f1081,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f796]) ).
fof(f796,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X368,X369,X370,X371] :
( ( ? [X375] :
( rpoint(X375)
& X368 = X375 )
& ? [X374] :
( rpoint(X374)
& X369 = X374 )
& X368 != X369
& ? [X373] :
( rline(X373)
& X370 = X373 )
& ? [X372] :
( rline(X372)
& X371 = X372 )
& ron(X368,X370)
& ron(X368,X371)
& ron(X369,X370)
& ron(X369,X371) )
=> X370 = X371 ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f1450,plain,
~ spl84_1,
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl84_1 ),
inference(resolution,[],[f1404,f679]) ).
fof(f1404,plain,
( ! [X34] : ~ rline(X34)
| ~ spl84_1 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1449,plain,
~ spl84_1,
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1448,plain,
( $false
| ~ spl84_1 ),
inference(resolution,[],[f1404,f664]) ).
fof(f1445,plain,
( spl84_1
| spl84_5 ),
inference(avatar_split_clause,[],[f1426,f1443,f1403]) ).
fof(f1443,plain,
( spl84_5
<=> ! [X36,X37,X39] :
( ~ rpoint(X36)
| rinside(sK53(X36,X37),X39)
| sP29(X39,X37)
| ~ ron(X36,X39)
| ~ rcircle(X39)
| ~ rpoint(sK53(X36,X37))
| X36 = X37
| ~ ron(X36,sK36)
| ~ rpoint(X37)
| ~ ron(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_5])]) ).
fof(f1426,plain,
! [X38,X39,X36,X37] :
( ~ rpoint(X36)
| ~ rpoint(X37)
| ~ ron(X36,sK36)
| ~ ron(X37,sK36)
| X36 = X37
| ~ rpoint(sK53(X36,X37))
| ~ rline(X38)
| ~ rcircle(X39)
| ~ ron(X36,X39)
| sP29(X39,X37)
| rinside(sK53(X36,X37),X39) ),
inference(duplicate_literal_removal,[],[f1425]) ).
fof(f1425,plain,
! [X38,X39,X36,X37] :
( ~ rpoint(X36)
| ~ rpoint(X37)
| ~ ron(X36,sK36)
| ~ ron(X37,sK36)
| X36 = X37
| ~ rpoint(X36)
| ~ rpoint(X37)
| ~ rpoint(sK53(X36,X37))
| ~ rline(X38)
| ~ rcircle(X39)
| ~ ron(X36,X39)
| sP29(X39,X37)
| rinside(sK53(X36,X37),X39) ),
inference(resolution,[],[f1370,f1282]) ).
fof(f1370,plain,
! [X2,X3] :
( rR(sK53(X2,X3),X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,sK36)
| ~ ron(X3,sK36)
| X2 = X3 ),
inference(resolution,[],[f664,f1027]) ).
fof(f1027,plain,
! [X1,X6,X5] :
( ~ rline(X1)
| rR(sK53(X5,X6),X5,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1026]) ).
fof(f1026,plain,
! [X3,X1,X6,X5] :
( rR(sK53(X5,X3),X5,X3)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1025]) ).
fof(f1025,plain,
! [X2,X3,X1,X6,X5] :
( rR(sK53(X2,X3),X2,X3)
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f744]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(sK53(X2,X3),X2,X3)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f544]) ).
fof(f544,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK53(X2,X3))
& rR(sK53(X2,X3),X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f542,f543]) ).
fof(f543,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X4,X2,X3) )
=> ( rpoint(sK53(X2,X3))
& rR(sK53(X2,X3),X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f542,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X4,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X4] :
( rpoint(X4)
& X2 = X4 )
& ? [X5] :
( rpoint(X5)
& X3 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X517,X518,X519,X520] :
( ( rline(X518)
& X517 = X518
& ? [X522] :
( rpoint(X522)
& X519 = X522 )
& ? [X521] :
( rpoint(X521)
& X520 = X521 )
& ron(X519,X517)
& ron(X520,X517)
& X519 != X520 )
=> ? [X523] :
( rpoint(X523)
& rR(X523,X519,X520) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))') ).
fof(f1441,plain,
( spl84_1
| spl84_4 ),
inference(avatar_split_clause,[],[f1427,f1439,f1403]) ).
fof(f1439,plain,
( spl84_4
<=> ! [X32,X35,X33] :
( ~ rpoint(X32)
| rinside(sK53(X32,X33),X35)
| sP29(X35,X33)
| ~ rinside(X32,X35)
| ~ rcircle(X35)
| ~ rpoint(sK53(X32,X33))
| X32 = X33
| ~ ron(X32,sK36)
| ~ rpoint(X33)
| ~ ron(X33,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_4])]) ).
fof(f1427,plain,
! [X34,X35,X32,X33] :
( ~ rpoint(X32)
| ~ rpoint(X33)
| ~ ron(X32,sK36)
| ~ ron(X33,sK36)
| X32 = X33
| ~ rpoint(sK53(X32,X33))
| ~ rline(X34)
| ~ rcircle(X35)
| ~ rinside(X32,X35)
| sP29(X35,X33)
| rinside(sK53(X32,X33),X35) ),
inference(duplicate_literal_removal,[],[f1424]) ).
fof(f1424,plain,
! [X34,X35,X32,X33] :
( ~ rpoint(X32)
| ~ rpoint(X33)
| ~ ron(X32,sK36)
| ~ ron(X33,sK36)
| X32 = X33
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rpoint(sK53(X32,X33))
| ~ rline(X34)
| ~ rcircle(X35)
| ~ rinside(X32,X35)
| sP29(X35,X33)
| rinside(sK53(X32,X33),X35) ),
inference(resolution,[],[f1370,f1277]) ).
fof(f1412,plain,
( spl84_1
| spl84_3 ),
inference(avatar_split_clause,[],[f1390,f1410,f1403]) ).
fof(f1410,plain,
( spl84_3
<=> ! [X36,X37,X39] :
( ~ rpoint(X36)
| rinside(X37,X39)
| sP29(X39,sK52(X36,X37))
| ~ ron(X36,X39)
| ~ rcircle(X39)
| ~ rpoint(sK52(X36,X37))
| X36 = X37
| ~ ron(X36,sK36)
| ~ rpoint(X37)
| ~ ron(X37,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_3])]) ).
fof(f1390,plain,
! [X38,X39,X36,X37] :
( ~ rpoint(X36)
| ~ rpoint(X37)
| ~ ron(X36,sK36)
| ~ ron(X37,sK36)
| X36 = X37
| ~ rpoint(sK52(X36,X37))
| ~ rline(X38)
| ~ rcircle(X39)
| ~ ron(X36,X39)
| sP29(X39,sK52(X36,X37))
| rinside(X37,X39) ),
inference(duplicate_literal_removal,[],[f1389]) ).
fof(f1389,plain,
! [X38,X39,X36,X37] :
( ~ rpoint(X36)
| ~ rpoint(X37)
| ~ ron(X36,sK36)
| ~ ron(X37,sK36)
| X36 = X37
| ~ rpoint(X36)
| ~ rpoint(sK52(X36,X37))
| ~ rpoint(X37)
| ~ rline(X38)
| ~ rcircle(X39)
| ~ ron(X36,X39)
| sP29(X39,sK52(X36,X37))
| rinside(X37,X39) ),
inference(resolution,[],[f1369,f1282]) ).
fof(f1369,plain,
! [X0,X1] :
( rR(X0,X1,sK52(X1,X0))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,sK36)
| ~ ron(X0,sK36)
| X0 = X1 ),
inference(resolution,[],[f664,f1021]) ).
fof(f1021,plain,
! [X1,X6,X5] :
( ~ rline(X1)
| rR(X6,X5,sK52(X5,X6))
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1020]) ).
fof(f1020,plain,
! [X3,X1,X6,X5] :
( rR(X3,X5,sK52(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1019]) ).
fof(f1019,plain,
! [X2,X3,X1,X6,X5] :
( rR(X3,X2,sK52(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f742]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(X3,X2,sK52(X2,X3))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f541]) ).
fof(f541,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK52(X2,X3))
& rR(X3,X2,sK52(X2,X3)) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f539,f540]) ).
fof(f540,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X3,X2,X4) )
=> ( rpoint(sK52(X2,X3))
& rR(X3,X2,sK52(X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f539,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X3,X2,X4) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(ennf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X4] :
( rpoint(X4)
& X2 = X4 )
& ? [X5] :
( rpoint(X5)
& X3 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) ) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X490,X491,X492,X493] :
( ( rline(X491)
& X490 = X491
& ? [X495] :
( rpoint(X495)
& X492 = X495 )
& ? [X494] :
( rpoint(X494)
& X493 = X494 )
& ron(X492,X490)
& ron(X493,X490)
& X492 != X493 )
=> ? [X496] :
( rpoint(X496)
& rR(X493,X492,X496) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof(f1408,plain,
( spl84_1
| spl84_2 ),
inference(avatar_split_clause,[],[f1391,f1406,f1403]) ).
fof(f1406,plain,
( spl84_2
<=> ! [X32,X35,X33] :
( ~ rpoint(X32)
| rinside(X33,X35)
| sP29(X35,sK52(X32,X33))
| ~ rinside(X32,X35)
| ~ rcircle(X35)
| ~ rpoint(sK52(X32,X33))
| X32 = X33
| ~ ron(X32,sK36)
| ~ rpoint(X33)
| ~ ron(X33,sK36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl84_2])]) ).
fof(f1391,plain,
! [X34,X35,X32,X33] :
( ~ rpoint(X32)
| ~ rpoint(X33)
| ~ ron(X32,sK36)
| ~ ron(X33,sK36)
| X32 = X33
| ~ rpoint(sK52(X32,X33))
| ~ rline(X34)
| ~ rcircle(X35)
| ~ rinside(X32,X35)
| sP29(X35,sK52(X32,X33))
| rinside(X33,X35) ),
inference(duplicate_literal_removal,[],[f1388]) ).
fof(f1388,plain,
! [X34,X35,X32,X33] :
( ~ rpoint(X32)
| ~ rpoint(X33)
| ~ ron(X32,sK36)
| ~ ron(X33,sK36)
| X32 = X33
| ~ rpoint(X32)
| ~ rpoint(sK52(X32,X33))
| ~ rpoint(X33)
| ~ rline(X34)
| ~ rcircle(X35)
| ~ rinside(X32,X35)
| sP29(X35,sK52(X32,X33))
| rinside(X33,X35) ),
inference(resolution,[],[f1369,f1277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 23:23:12 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.PRZEQOGmmA/Vampire---4.8_13558
% 0.15/0.38 % (13665)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13669)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.44 % (13672)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44 % (13668)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.44 % (13667)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (13670)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (13666)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.44 % (13671)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 1.56/0.60 % (13666)First to succeed.
% 1.77/0.62 % (13666)Refutation found. Thanks to Tanya!
% 1.77/0.62 % SZS status Theorem for Vampire---4
% 1.77/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 1.77/0.63 % (13666)------------------------------
% 1.77/0.63 % (13666)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.77/0.63 % (13666)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.77/0.63 % (13666)Termination reason: Refutation
% 1.77/0.63
% 1.77/0.63 % (13666)Memory used [KB]: 10874
% 1.77/0.63 % (13666)Time elapsed: 0.170 s
% 1.77/0.63 % (13666)------------------------------
% 1.77/0.63 % (13666)------------------------------
% 1.77/0.63 % (13665)Success in time 0.256 s
% 1.77/0.63 % Vampire---4.8 exiting
%------------------------------------------------------------------------------