TSTP Solution File: SWC392+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n006.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 : Sat Sep 2 12:52:54 EDT 2023
% Result : Theorem 3.13s 0.87s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 403
% Syntax : Number of formulae : 2158 ( 53 unt; 0 def)
% Number of atoms : 8181 (1870 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 10051 (4028 ~;4602 |; 811 &)
% ( 312 <=>; 298 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 275 ( 273 usr; 236 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 8 con; 0-2 aty)
% Number of variables : 2324 (;1973 !; 351 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5003,plain,
$false,
inference(avatar_smt_refutation,[],[f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f721,f736,f744,f749,f756,f816,f821,f822,f823,f828,f860,f865,f866,f867,f922,f941,f944,f950,f956,f962,f968,f974,f980,f1032,f1036,f1057,f1061,f1118,f1123,f1124,f1125,f1171,f1176,f1177,f1178,f1240,f1245,f1250,f1313,f1318,f1323,f1354,f1360,f1365,f1402,f1407,f1412,f1429,f1434,f1450,f1457,f1483,f1490,f1494,f1511,f1516,f1527,f1531,f1538,f1543,f1636,f1642,f1679,f1685,f1691,f1696,f1741,f1759,f1760,f1771,f1776,f1781,f1787,f1796,f1805,f1823,f1852,f1872,f1877,f1930,f1935,f1936,f1937,f1966,f1970,f1985,f2036,f2047,f2048,f2066,f2070,f2081,f2091,f2096,f2101,f2106,f2111,f2116,f2121,f2126,f2145,f2150,f2184,f2189,f2194,f2199,f2204,f2209,f2214,f2219,f2224,f2278,f2283,f2314,f2321,f2325,f2343,f2348,f2353,f2434,f2451,f2456,f2462,f2467,f2472,f2498,f2511,f2516,f2543,f2548,f2555,f2587,f2592,f2596,f2601,f2675,f2676,f2721,f2739,f2744,f2749,f2755,f2785,f2790,f2795,f2802,f2818,f2833,f2865,f2870,f2890,f2894,f2940,f2945,f2967,f2971,f3003,f3055,f3063,f3069,f3075,f3088,f3093,f3098,f3103,f3108,f3113,f3118,f3123,f3128,f3133,f3177,f3182,f3279,f3284,f3290,f3360,f3458,f3471,f3542,f3614,f3619,f3626,f3677,f3682,f3687,f3742,f3747,f3752,f3803,f3808,f3813,f3873,f3878,f3883,f3937,f3942,f3947,f3998,f4003,f4008,f4071,f4079,f4089,f4096,f4144,f4151,f4157,f4162,f4167,f4168,f4181,f4186,f4191,f4192,f4197,f4202,f4207,f4208,f4213,f4218,f4223,f4283,f4288,f4293,f4298,f4299,f4304,f4309,f4314,f4315,f4576,f5002]) ).
fof(f5002,plain,
( spl72_235
| ~ spl72_5
| ~ spl72_14
| ~ spl72_19
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f4996,f1802,f934,f919,f706,f681,f636,f4999]) ).
fof(f4999,plain,
( spl72_235
<=> sK24 = hd(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_235])]) ).
fof(f636,plain,
( spl72_5
<=> ssItem(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f681,plain,
( spl72_14
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f706,plain,
( spl72_19
<=> memberP(sK20,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f919,plain,
( spl72_32
<=> sK20 = cons(sK19(sK21,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_32])]) ).
fof(f934,plain,
( spl72_33
<=> ssItem(sK19(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_33])]) ).
fof(f1802,plain,
( spl72_87
<=> sK19(sK21,sK20) = hd(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f4996,plain,
( sK24 = hd(sK20)
| ~ spl72_5
| ~ spl72_14
| ~ spl72_19
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(subsumption_resolution,[],[f4993,f638]) ).
fof(f638,plain,
( ssItem(sK24)
| ~ spl72_5 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f4993,plain,
( sK24 = hd(sK20)
| ~ ssItem(sK24)
| ~ spl72_14
| ~ spl72_19
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(resolution,[],[f4971,f708]) ).
fof(f708,plain,
( memberP(sK20,sK24)
| ~ spl72_19 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f4971,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| hd(sK20) = X0
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(forward_demodulation,[],[f4970,f1804]) ).
fof(f1804,plain,
( sK19(sK21,sK20) = hd(sK20)
| ~ spl72_87 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f4970,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f4969,f407]) ).
fof(f407,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax38) ).
fof(f4969,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f4968,f935]) ).
fof(f935,plain,
( ssItem(sK19(sK21,sK20))
| ~ spl72_33 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f4968,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32 ),
inference(subsumption_resolution,[],[f4955,f683]) ).
fof(f683,plain,
( ssList(nil)
| ~ spl72_14 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f4955,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_32 ),
inference(superposition,[],[f437,f921]) ).
fof(f921,plain,
( sK20 = cons(sK19(sK21,sK20),nil)
| ~ spl72_32 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax37) ).
fof(f4576,plain,
( spl72_234
| ~ spl72_99
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3965,f2718,f2059,f4573]) ).
fof(f4573,plain,
( spl72_234
<=> hd(sK21) = hd(cons(hd(sK21),app(sK20,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_234])]) ).
fof(f2059,plain,
( spl72_99
<=> ssItem(hd(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_99])]) ).
fof(f2718,plain,
( spl72_143
<=> ssList(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_143])]) ).
fof(f3965,plain,
( hd(sK21) = hd(cons(hd(sK21),app(sK20,sK20)))
| ~ spl72_99
| ~ spl72_143 ),
inference(resolution,[],[f2729,f2060]) ).
fof(f2060,plain,
( ssItem(hd(sK21))
| ~ spl72_99 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2729,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,app(sK20,sK20))) = X1 )
| ~ spl72_143 ),
inference(resolution,[],[f2720,f572]) ).
fof(f572,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax23) ).
fof(f2720,plain,
( ssList(app(sK20,sK20))
| ~ spl72_143 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f4315,plain,
( spl72_233
| ~ spl72_94
| ~ spl72_130
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3928,f2964,f2431,f1959,f4311]) ).
fof(f4311,plain,
( spl72_233
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_233])]) ).
fof(f1959,plain,
( spl72_94
<=> ssItem(sK26(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_94])]) ).
fof(f2431,plain,
( spl72_130
<=> hd(sK20) = sK26(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_130])]) ).
fof(f2964,plain,
( spl72_161
<=> ssList(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_161])]) ).
fof(f3928,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK71,sK20)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_161 ),
inference(forward_demodulation,[],[f3906,f2433]) ).
fof(f2433,plain,
( hd(sK20) = sK26(sK20)
| ~ spl72_130 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f3906,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK71,sK20)))
| ~ spl72_94
| ~ spl72_161 ),
inference(resolution,[],[f2991,f1960]) ).
fof(f1960,plain,
( ssItem(sK26(sK20))
| ~ spl72_94 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f2991,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK71,sK20))) = X1 )
| ~ spl72_161 ),
inference(resolution,[],[f2966,f572]) ).
fof(f2966,plain,
( ssList(cons(sK71,sK20))
| ~ spl72_161 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f4314,plain,
( spl72_233
| ~ spl72_33
| ~ spl72_87
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3927,f2964,f1802,f934,f4311]) ).
fof(f3927,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK71,sK20)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_161 ),
inference(forward_demodulation,[],[f3903,f1804]) ).
fof(f3903,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK71,sK20)))
| ~ spl72_33
| ~ spl72_161 ),
inference(resolution,[],[f2991,f935]) ).
fof(f4309,plain,
( spl72_232
| ~ spl72_96
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3907,f2964,f1978,f4306]) ).
fof(f4306,plain,
( spl72_232
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_232])]) ).
fof(f1978,plain,
( spl72_96
<=> ssItem(sK26(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_96])]) ).
fof(f3907,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK20)))
| ~ spl72_96
| ~ spl72_161 ),
inference(resolution,[],[f2991,f1979]) ).
fof(f1979,plain,
( ssItem(sK26(sK21))
| ~ spl72_96 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f4304,plain,
( spl72_231
| ~ spl72_99
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3901,f2964,f2059,f4301]) ).
fof(f4301,plain,
( spl72_231
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_231])]) ).
fof(f3901,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK20)))
| ~ spl72_99
| ~ spl72_161 ),
inference(resolution,[],[f2991,f2060]) ).
fof(f4299,plain,
( spl72_230
| ~ spl72_94
| ~ spl72_130
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3867,f2960,f2431,f1959,f4295]) ).
fof(f4295,plain,
( spl72_230
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_230])]) ).
fof(f2960,plain,
( spl72_160
<=> ssList(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_160])]) ).
fof(f3867,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK71,nil)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_160 ),
inference(forward_demodulation,[],[f3845,f2433]) ).
fof(f3845,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK71,nil)))
| ~ spl72_94
| ~ spl72_160 ),
inference(resolution,[],[f2979,f1960]) ).
fof(f2979,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK71,nil))) = X1 )
| ~ spl72_160 ),
inference(resolution,[],[f2961,f572]) ).
fof(f2961,plain,
( ssList(cons(sK71,nil))
| ~ spl72_160 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f4298,plain,
( spl72_230
| ~ spl72_33
| ~ spl72_87
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3866,f2960,f1802,f934,f4295]) ).
fof(f3866,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK71,nil)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_160 ),
inference(forward_demodulation,[],[f3842,f1804]) ).
fof(f3842,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK71,nil)))
| ~ spl72_33
| ~ spl72_160 ),
inference(resolution,[],[f2979,f935]) ).
fof(f4293,plain,
( spl72_229
| ~ spl72_96
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3846,f2960,f1978,f4290]) ).
fof(f4290,plain,
( spl72_229
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_229])]) ).
fof(f3846,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,nil)))
| ~ spl72_96
| ~ spl72_160 ),
inference(resolution,[],[f2979,f1979]) ).
fof(f4288,plain,
( spl72_228
| ~ spl72_99
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3840,f2960,f2059,f4285]) ).
fof(f4285,plain,
( spl72_228
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_228])]) ).
fof(f3840,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK71,nil)))
| ~ spl72_99
| ~ spl72_160 ),
inference(resolution,[],[f2979,f2060]) ).
fof(f4283,plain,
( spl72_227
| ~ spl72_94
| ~ spl72_130
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3797,f2887,f2431,f1959,f4220]) ).
fof(f4220,plain,
( spl72_227
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_227])]) ).
fof(f2887,plain,
( spl72_157
<=> ssList(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_157])]) ).
fof(f3797,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK70,sK20)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_157 ),
inference(forward_demodulation,[],[f3775,f2433]) ).
fof(f3775,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK70,sK20)))
| ~ spl72_94
| ~ spl72_157 ),
inference(resolution,[],[f2928,f1960]) ).
fof(f2928,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK70,sK20))) = X1 )
| ~ spl72_157 ),
inference(resolution,[],[f2889,f572]) ).
fof(f2889,plain,
( ssList(cons(sK70,sK20))
| ~ spl72_157 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f4223,plain,
( spl72_227
| ~ spl72_33
| ~ spl72_87
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3796,f2887,f1802,f934,f4220]) ).
fof(f3796,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK70,sK20)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_157 ),
inference(forward_demodulation,[],[f3772,f1804]) ).
fof(f3772,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK70,sK20)))
| ~ spl72_33
| ~ spl72_157 ),
inference(resolution,[],[f2928,f935]) ).
fof(f4218,plain,
( spl72_226
| ~ spl72_96
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3776,f2887,f1978,f4215]) ).
fof(f4215,plain,
( spl72_226
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_226])]) ).
fof(f3776,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK20)))
| ~ spl72_96
| ~ spl72_157 ),
inference(resolution,[],[f2928,f1979]) ).
fof(f4213,plain,
( spl72_225
| ~ spl72_99
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3770,f2887,f2059,f4210]) ).
fof(f4210,plain,
( spl72_225
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_225])]) ).
fof(f3770,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK20)))
| ~ spl72_99
| ~ spl72_157 ),
inference(resolution,[],[f2928,f2060]) ).
fof(f4208,plain,
( spl72_224
| ~ spl72_94
| ~ spl72_130
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3736,f2883,f2431,f1959,f4204]) ).
fof(f4204,plain,
( spl72_224
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_224])]) ).
fof(f2883,plain,
( spl72_156
<=> ssList(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_156])]) ).
fof(f3736,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK70,nil)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_156 ),
inference(forward_demodulation,[],[f3714,f2433]) ).
fof(f3714,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK70,nil)))
| ~ spl72_94
| ~ spl72_156 ),
inference(resolution,[],[f2902,f1960]) ).
fof(f2902,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK70,nil))) = X1 )
| ~ spl72_156 ),
inference(resolution,[],[f2884,f572]) ).
fof(f2884,plain,
( ssList(cons(sK70,nil))
| ~ spl72_156 ),
inference(avatar_component_clause,[],[f2883]) ).
fof(f4207,plain,
( spl72_224
| ~ spl72_33
| ~ spl72_87
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3735,f2883,f1802,f934,f4204]) ).
fof(f3735,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK70,nil)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_156 ),
inference(forward_demodulation,[],[f3711,f1804]) ).
fof(f3711,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK70,nil)))
| ~ spl72_33
| ~ spl72_156 ),
inference(resolution,[],[f2902,f935]) ).
fof(f4202,plain,
( spl72_223
| ~ spl72_96
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3715,f2883,f1978,f4199]) ).
fof(f4199,plain,
( spl72_223
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_223])]) ).
fof(f3715,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,nil)))
| ~ spl72_96
| ~ spl72_156 ),
inference(resolution,[],[f2902,f1979]) ).
fof(f4197,plain,
( spl72_222
| ~ spl72_99
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3709,f2883,f2059,f4194]) ).
fof(f4194,plain,
( spl72_222
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_222])]) ).
fof(f3709,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK70,nil)))
| ~ spl72_99
| ~ spl72_156 ),
inference(resolution,[],[f2902,f2060]) ).
fof(f4192,plain,
( spl72_221
| ~ spl72_94
| ~ spl72_130
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3671,f2815,f2431,f1959,f4188]) ).
fof(f4188,plain,
( spl72_221
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_221])]) ).
fof(f2815,plain,
( spl72_153
<=> ssList(cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_153])]) ).
fof(f3671,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK24,sK20)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_153 ),
inference(forward_demodulation,[],[f3649,f2433]) ).
fof(f3649,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK24,sK20)))
| ~ spl72_94
| ~ spl72_153 ),
inference(resolution,[],[f2853,f1960]) ).
fof(f2853,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK24,sK20))) = X1 )
| ~ spl72_153 ),
inference(resolution,[],[f2817,f572]) ).
fof(f2817,plain,
( ssList(cons(sK24,sK20))
| ~ spl72_153 ),
inference(avatar_component_clause,[],[f2815]) ).
fof(f4191,plain,
( spl72_221
| ~ spl72_33
| ~ spl72_87
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3670,f2815,f1802,f934,f4188]) ).
fof(f3670,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK24,sK20)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_153 ),
inference(forward_demodulation,[],[f3646,f1804]) ).
fof(f3646,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK24,sK20)))
| ~ spl72_33
| ~ spl72_153 ),
inference(resolution,[],[f2853,f935]) ).
fof(f4186,plain,
( spl72_220
| ~ spl72_96
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3650,f2815,f1978,f4183]) ).
fof(f4183,plain,
( spl72_220
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_220])]) ).
fof(f3650,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK24,sK20)))
| ~ spl72_96
| ~ spl72_153 ),
inference(resolution,[],[f2853,f1979]) ).
fof(f4181,plain,
( spl72_219
| ~ spl72_99
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3644,f2815,f2059,f4178]) ).
fof(f4178,plain,
( spl72_219
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_219])]) ).
fof(f3644,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK24,sK20)))
| ~ spl72_99
| ~ spl72_153 ),
inference(resolution,[],[f2853,f2060]) ).
fof(f4168,plain,
( spl72_218
| ~ spl72_94
| ~ spl72_130
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3608,f2811,f2431,f1959,f4164]) ).
fof(f4164,plain,
( spl72_218
<=> hd(sK20) = hd(cons(hd(sK20),cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_218])]) ).
fof(f2811,plain,
( spl72_152
<=> ssList(cons(sK24,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_152])]) ).
fof(f3608,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK24,nil)))
| ~ spl72_94
| ~ spl72_130
| ~ spl72_152 ),
inference(forward_demodulation,[],[f3586,f2433]) ).
fof(f3586,plain,
( sK26(sK20) = hd(cons(sK26(sK20),cons(sK24,nil)))
| ~ spl72_94
| ~ spl72_152 ),
inference(resolution,[],[f2841,f1960]) ).
fof(f2841,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK24,nil))) = X1 )
| ~ spl72_152 ),
inference(resolution,[],[f2812,f572]) ).
fof(f2812,plain,
( ssList(cons(sK24,nil))
| ~ spl72_152 ),
inference(avatar_component_clause,[],[f2811]) ).
fof(f4167,plain,
( spl72_218
| ~ spl72_33
| ~ spl72_87
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3607,f2811,f1802,f934,f4164]) ).
fof(f3607,plain,
( hd(sK20) = hd(cons(hd(sK20),cons(sK24,nil)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_152 ),
inference(forward_demodulation,[],[f3583,f1804]) ).
fof(f3583,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),cons(sK24,nil)))
| ~ spl72_33
| ~ spl72_152 ),
inference(resolution,[],[f2841,f935]) ).
fof(f4162,plain,
( spl72_217
| ~ spl72_96
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3587,f2811,f1978,f4159]) ).
fof(f4159,plain,
( spl72_217
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_217])]) ).
fof(f3587,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK24,nil)))
| ~ spl72_96
| ~ spl72_152 ),
inference(resolution,[],[f2841,f1979]) ).
fof(f4157,plain,
( spl72_216
| ~ spl72_99
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3581,f2811,f2059,f4154]) ).
fof(f4154,plain,
( spl72_216
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_216])]) ).
fof(f3581,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK24,nil)))
| ~ spl72_99
| ~ spl72_152 ),
inference(resolution,[],[f2841,f2060]) ).
fof(f4151,plain,
( ~ spl72_215
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_161
| spl72_213 ),
inference(avatar_split_clause,[],[f4146,f4137,f2964,f813,f681,f616,f4148]) ).
fof(f4148,plain,
( spl72_215
<=> rearsegP(nil,cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_215])]) ).
fof(f616,plain,
( spl72_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f813,plain,
( spl72_27
<=> sK20 = app(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_27])]) ).
fof(f4137,plain,
( spl72_213
<=> rearsegP(sK20,cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_213])]) ).
fof(f4146,plain,
( ~ rearsegP(nil,cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_161
| spl72_213 ),
inference(subsumption_resolution,[],[f4145,f2966]) ).
fof(f4145,plain,
( ~ rearsegP(nil,cons(sK71,sK20))
| ~ ssList(cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| spl72_213 ),
inference(resolution,[],[f4139,f3428]) ).
fof(f3428,plain,
( ! [X15] :
( rearsegP(sK20,X15)
| ~ rearsegP(nil,X15)
| ~ ssList(X15) )
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27 ),
inference(subsumption_resolution,[],[f3427,f683]) ).
fof(f3427,plain,
( ! [X15] :
( rearsegP(sK20,X15)
| ~ rearsegP(nil,X15)
| ~ ssList(X15)
| ~ ssList(nil) )
| ~ spl72_1
| ~ spl72_27 ),
inference(subsumption_resolution,[],[f3399,f618]) ).
fof(f618,plain,
( ssList(sK20)
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f3399,plain,
( ! [X15] :
( rearsegP(sK20,X15)
| ~ rearsegP(nil,X15)
| ~ ssList(sK20)
| ~ ssList(X15)
| ~ ssList(nil) )
| ~ spl72_27 ),
inference(superposition,[],[f604,f815]) ).
fof(f815,plain,
( sK20 = app(sK20,nil)
| ~ spl72_27 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f604,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax50) ).
fof(f4139,plain,
( ~ rearsegP(sK20,cons(sK71,sK20))
| spl72_213 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f4144,plain,
( ~ spl72_213
| spl72_214
| ~ spl72_1
| ~ spl72_161
| ~ spl72_185 ),
inference(avatar_split_clause,[],[f3548,f3539,f2964,f616,f4141,f4137]) ).
fof(f4141,plain,
( spl72_214
<=> sK20 = cons(sK71,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_214])]) ).
fof(f3539,plain,
( spl72_185
<=> rearsegP(cons(sK71,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_185])]) ).
fof(f3548,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_161
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f3547,f618]) ).
fof(f3547,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ ssList(sK20)
| ~ spl72_161
| ~ spl72_185 ),
inference(subsumption_resolution,[],[f3544,f2966]) ).
fof(f3544,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ ssList(cons(sK71,sK20))
| ~ ssList(sK20)
| ~ spl72_185 ),
inference(resolution,[],[f3541,f582]) ).
fof(f582,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax48) ).
fof(f3541,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ spl72_185 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f4096,plain,
( ~ spl72_212
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_157
| spl72_210 ),
inference(avatar_split_clause,[],[f4091,f4082,f2887,f813,f681,f616,f4093]) ).
fof(f4093,plain,
( spl72_212
<=> rearsegP(nil,cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_212])]) ).
fof(f4082,plain,
( spl72_210
<=> rearsegP(sK20,cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_210])]) ).
fof(f4091,plain,
( ~ rearsegP(nil,cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_157
| spl72_210 ),
inference(subsumption_resolution,[],[f4090,f2889]) ).
fof(f4090,plain,
( ~ rearsegP(nil,cons(sK70,sK20))
| ~ ssList(cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| spl72_210 ),
inference(resolution,[],[f4084,f3428]) ).
fof(f4084,plain,
( ~ rearsegP(sK20,cons(sK70,sK20))
| spl72_210 ),
inference(avatar_component_clause,[],[f4082]) ).
fof(f4089,plain,
( ~ spl72_210
| spl72_211
| ~ spl72_1
| ~ spl72_157
| ~ spl72_184 ),
inference(avatar_split_clause,[],[f3477,f3468,f2887,f616,f4086,f4082]) ).
fof(f4086,plain,
( spl72_211
<=> sK20 = cons(sK70,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_211])]) ).
fof(f3468,plain,
( spl72_184
<=> rearsegP(cons(sK70,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_184])]) ).
fof(f3477,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_157
| ~ spl72_184 ),
inference(subsumption_resolution,[],[f3476,f618]) ).
fof(f3476,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ ssList(sK20)
| ~ spl72_157
| ~ spl72_184 ),
inference(subsumption_resolution,[],[f3473,f2889]) ).
fof(f3473,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ ssList(cons(sK70,sK20))
| ~ ssList(sK20)
| ~ spl72_184 ),
inference(resolution,[],[f3470,f582]) ).
fof(f3470,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ spl72_184 ),
inference(avatar_component_clause,[],[f3468]) ).
fof(f4079,plain,
( ~ spl72_209
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_153
| spl72_207 ),
inference(avatar_split_clause,[],[f4073,f4064,f2815,f813,f681,f616,f4076]) ).
fof(f4076,plain,
( spl72_209
<=> rearsegP(nil,cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_209])]) ).
fof(f4064,plain,
( spl72_207
<=> rearsegP(sK20,cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_207])]) ).
fof(f4073,plain,
( ~ rearsegP(nil,cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| ~ spl72_153
| spl72_207 ),
inference(subsumption_resolution,[],[f4072,f2817]) ).
fof(f4072,plain,
( ~ rearsegP(nil,cons(sK24,sK20))
| ~ ssList(cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_14
| ~ spl72_27
| spl72_207 ),
inference(resolution,[],[f4066,f3428]) ).
fof(f4066,plain,
( ~ rearsegP(sK20,cons(sK24,sK20))
| spl72_207 ),
inference(avatar_component_clause,[],[f4064]) ).
fof(f4071,plain,
( ~ spl72_207
| spl72_208
| ~ spl72_1
| ~ spl72_153
| ~ spl72_183 ),
inference(avatar_split_clause,[],[f3464,f3455,f2815,f616,f4068,f4064]) ).
fof(f4068,plain,
( spl72_208
<=> sK20 = cons(sK24,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_208])]) ).
fof(f3455,plain,
( spl72_183
<=> rearsegP(cons(sK24,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_183])]) ).
fof(f3464,plain,
( sK20 = cons(sK24,sK20)
| ~ rearsegP(sK20,cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_153
| ~ spl72_183 ),
inference(subsumption_resolution,[],[f3463,f618]) ).
fof(f3463,plain,
( sK20 = cons(sK24,sK20)
| ~ rearsegP(sK20,cons(sK24,sK20))
| ~ ssList(sK20)
| ~ spl72_153
| ~ spl72_183 ),
inference(subsumption_resolution,[],[f3460,f2817]) ).
fof(f3460,plain,
( sK20 = cons(sK24,sK20)
| ~ rearsegP(sK20,cons(sK24,sK20))
| ~ ssList(cons(sK24,sK20))
| ~ ssList(sK20)
| ~ spl72_183 ),
inference(resolution,[],[f3457,f582]) ).
fof(f3457,plain,
( rearsegP(cons(sK24,sK20),sK20)
| ~ spl72_183 ),
inference(avatar_component_clause,[],[f3455]) ).
fof(f4008,plain,
( spl72_206
| ~ spl72_16
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3990,f2718,f691,f4005]) ).
fof(f4005,plain,
( spl72_206
<=> sK71 = hd(cons(sK71,app(sK20,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_206])]) ).
fof(f691,plain,
( spl72_16
<=> ssItem(sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f3990,plain,
( sK71 = hd(cons(sK71,app(sK20,sK20)))
| ~ spl72_16
| ~ spl72_143 ),
inference(resolution,[],[f2729,f693]) ).
fof(f693,plain,
( ssItem(sK71)
| ~ spl72_16 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f4003,plain,
( spl72_205
| ~ spl72_15
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3989,f2718,f686,f4000]) ).
fof(f4000,plain,
( spl72_205
<=> sK70 = hd(cons(sK70,app(sK20,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_205])]) ).
fof(f686,plain,
( spl72_15
<=> ssItem(sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f3989,plain,
( sK70 = hd(cons(sK70,app(sK20,sK20)))
| ~ spl72_15
| ~ spl72_143 ),
inference(resolution,[],[f2729,f688]) ).
fof(f688,plain,
( ssItem(sK70)
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f3998,plain,
( spl72_204
| ~ spl72_5
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3968,f2718,f636,f3995]) ).
fof(f3995,plain,
( spl72_204
<=> sK24 = hd(cons(sK24,app(sK20,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_204])]) ).
fof(f3968,plain,
( sK24 = hd(cons(sK24,app(sK20,sK20)))
| ~ spl72_5
| ~ spl72_143 ),
inference(resolution,[],[f2729,f638]) ).
fof(f3947,plain,
( spl72_203
| ~ spl72_16
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3926,f2964,f691,f3944]) ).
fof(f3944,plain,
( spl72_203
<=> sK71 = hd(cons(sK71,cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_203])]) ).
fof(f3926,plain,
( sK71 = hd(cons(sK71,cons(sK71,sK20)))
| ~ spl72_16
| ~ spl72_161 ),
inference(resolution,[],[f2991,f693]) ).
fof(f3942,plain,
( spl72_202
| ~ spl72_15
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3925,f2964,f686,f3939]) ).
fof(f3939,plain,
( spl72_202
<=> sK70 = hd(cons(sK70,cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_202])]) ).
fof(f3925,plain,
( sK70 = hd(cons(sK70,cons(sK71,sK20)))
| ~ spl72_15
| ~ spl72_161 ),
inference(resolution,[],[f2991,f688]) ).
fof(f3937,plain,
( spl72_201
| ~ spl72_5
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3904,f2964,f636,f3934]) ).
fof(f3934,plain,
( spl72_201
<=> sK24 = hd(cons(sK24,cons(sK71,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_201])]) ).
fof(f3904,plain,
( sK24 = hd(cons(sK24,cons(sK71,sK20)))
| ~ spl72_5
| ~ spl72_161 ),
inference(resolution,[],[f2991,f638]) ).
fof(f3883,plain,
( spl72_200
| ~ spl72_16
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3865,f2960,f691,f3880]) ).
fof(f3880,plain,
( spl72_200
<=> sK71 = hd(cons(sK71,cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_200])]) ).
fof(f3865,plain,
( sK71 = hd(cons(sK71,cons(sK71,nil)))
| ~ spl72_16
| ~ spl72_160 ),
inference(resolution,[],[f2979,f693]) ).
fof(f3878,plain,
( spl72_199
| ~ spl72_15
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3864,f2960,f686,f3875]) ).
fof(f3875,plain,
( spl72_199
<=> sK70 = hd(cons(sK70,cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_199])]) ).
fof(f3864,plain,
( sK70 = hd(cons(sK70,cons(sK71,nil)))
| ~ spl72_15
| ~ spl72_160 ),
inference(resolution,[],[f2979,f688]) ).
fof(f3873,plain,
( spl72_198
| ~ spl72_5
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3843,f2960,f636,f3870]) ).
fof(f3870,plain,
( spl72_198
<=> sK24 = hd(cons(sK24,cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_198])]) ).
fof(f3843,plain,
( sK24 = hd(cons(sK24,cons(sK71,nil)))
| ~ spl72_5
| ~ spl72_160 ),
inference(resolution,[],[f2979,f638]) ).
fof(f3813,plain,
( spl72_197
| ~ spl72_16
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3795,f2887,f691,f3810]) ).
fof(f3810,plain,
( spl72_197
<=> sK71 = hd(cons(sK71,cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_197])]) ).
fof(f3795,plain,
( sK71 = hd(cons(sK71,cons(sK70,sK20)))
| ~ spl72_16
| ~ spl72_157 ),
inference(resolution,[],[f2928,f693]) ).
fof(f3808,plain,
( spl72_196
| ~ spl72_15
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3794,f2887,f686,f3805]) ).
fof(f3805,plain,
( spl72_196
<=> sK70 = hd(cons(sK70,cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_196])]) ).
fof(f3794,plain,
( sK70 = hd(cons(sK70,cons(sK70,sK20)))
| ~ spl72_15
| ~ spl72_157 ),
inference(resolution,[],[f2928,f688]) ).
fof(f3803,plain,
( spl72_195
| ~ spl72_5
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3773,f2887,f636,f3800]) ).
fof(f3800,plain,
( spl72_195
<=> sK24 = hd(cons(sK24,cons(sK70,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_195])]) ).
fof(f3773,plain,
( sK24 = hd(cons(sK24,cons(sK70,sK20)))
| ~ spl72_5
| ~ spl72_157 ),
inference(resolution,[],[f2928,f638]) ).
fof(f3752,plain,
( spl72_194
| ~ spl72_16
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3734,f2883,f691,f3749]) ).
fof(f3749,plain,
( spl72_194
<=> sK71 = hd(cons(sK71,cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_194])]) ).
fof(f3734,plain,
( sK71 = hd(cons(sK71,cons(sK70,nil)))
| ~ spl72_16
| ~ spl72_156 ),
inference(resolution,[],[f2902,f693]) ).
fof(f3747,plain,
( spl72_193
| ~ spl72_15
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3733,f2883,f686,f3744]) ).
fof(f3744,plain,
( spl72_193
<=> sK70 = hd(cons(sK70,cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_193])]) ).
fof(f3733,plain,
( sK70 = hd(cons(sK70,cons(sK70,nil)))
| ~ spl72_15
| ~ spl72_156 ),
inference(resolution,[],[f2902,f688]) ).
fof(f3742,plain,
( spl72_192
| ~ spl72_5
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3712,f2883,f636,f3739]) ).
fof(f3739,plain,
( spl72_192
<=> sK24 = hd(cons(sK24,cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_192])]) ).
fof(f3712,plain,
( sK24 = hd(cons(sK24,cons(sK70,nil)))
| ~ spl72_5
| ~ spl72_156 ),
inference(resolution,[],[f2902,f638]) ).
fof(f3687,plain,
( spl72_191
| ~ spl72_16
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3669,f2815,f691,f3684]) ).
fof(f3684,plain,
( spl72_191
<=> sK71 = hd(cons(sK71,cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_191])]) ).
fof(f3669,plain,
( sK71 = hd(cons(sK71,cons(sK24,sK20)))
| ~ spl72_16
| ~ spl72_153 ),
inference(resolution,[],[f2853,f693]) ).
fof(f3682,plain,
( spl72_190
| ~ spl72_15
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3668,f2815,f686,f3679]) ).
fof(f3679,plain,
( spl72_190
<=> sK70 = hd(cons(sK70,cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_190])]) ).
fof(f3668,plain,
( sK70 = hd(cons(sK70,cons(sK24,sK20)))
| ~ spl72_15
| ~ spl72_153 ),
inference(resolution,[],[f2853,f688]) ).
fof(f3677,plain,
( spl72_189
| ~ spl72_5
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3647,f2815,f636,f3674]) ).
fof(f3674,plain,
( spl72_189
<=> sK24 = hd(cons(sK24,cons(sK24,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_189])]) ).
fof(f3647,plain,
( sK24 = hd(cons(sK24,cons(sK24,sK20)))
| ~ spl72_5
| ~ spl72_153 ),
inference(resolution,[],[f2853,f638]) ).
fof(f3626,plain,
( spl72_188
| ~ spl72_16
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3606,f2811,f691,f3623]) ).
fof(f3623,plain,
( spl72_188
<=> sK71 = hd(cons(sK71,cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_188])]) ).
fof(f3606,plain,
( sK71 = hd(cons(sK71,cons(sK24,nil)))
| ~ spl72_16
| ~ spl72_152 ),
inference(resolution,[],[f2841,f693]) ).
fof(f3619,plain,
( spl72_187
| ~ spl72_15
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3605,f2811,f686,f3616]) ).
fof(f3616,plain,
( spl72_187
<=> sK70 = hd(cons(sK70,cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_187])]) ).
fof(f3605,plain,
( sK70 = hd(cons(sK70,cons(sK24,nil)))
| ~ spl72_15
| ~ spl72_152 ),
inference(resolution,[],[f2841,f688]) ).
fof(f3614,plain,
( spl72_186
| ~ spl72_5
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3584,f2811,f636,f3611]) ).
fof(f3611,plain,
( spl72_186
<=> sK24 = hd(cons(sK24,cons(sK24,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_186])]) ).
fof(f3584,plain,
( sK24 = hd(cons(sK24,cons(sK24,nil)))
| ~ spl72_5
| ~ spl72_152 ),
inference(resolution,[],[f2841,f638]) ).
fof(f3542,plain,
( spl72_185
| ~ spl72_1
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f3479,f2964,f2960,f2792,f616,f3539]) ).
fof(f2792,plain,
( spl72_150
<=> cons(sK71,sK20) = app(cons(sK71,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_150])]) ).
fof(f3479,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ spl72_1
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f3478,f2966]) ).
fof(f3478,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ ssList(cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_150
| ~ spl72_160 ),
inference(equality_resolution,[],[f3153]) ).
fof(f3153,plain,
( ! [X7] :
( cons(sK71,sK20) != X7
| rearsegP(X7,sK20)
| ~ ssList(X7) )
| ~ spl72_1
| ~ spl72_150
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f3152,f618]) ).
fof(f3152,plain,
( ! [X7] :
( cons(sK71,sK20) != X7
| rearsegP(X7,sK20)
| ~ ssList(sK20)
| ~ ssList(X7) )
| ~ spl72_150
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f3141,f2961]) ).
fof(f3141,plain,
( ! [X7] :
( cons(sK71,sK20) != X7
| rearsegP(X7,sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK20)
| ~ ssList(X7) )
| ~ spl72_150 ),
inference(superposition,[],[f589,f2794]) ).
fof(f2794,plain,
( cons(sK71,sK20) = app(cons(sK71,nil),sK20)
| ~ spl72_150 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f589,plain,
! [X2,X0,X1] :
( app(X2,X1) != X0
| rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax6) ).
fof(f3471,plain,
( spl72_184
| ~ spl72_1
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f3466,f2887,f2883,f2787,f616,f3468]) ).
fof(f2787,plain,
( spl72_149
<=> cons(sK70,sK20) = app(cons(sK70,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_149])]) ).
fof(f3466,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ spl72_1
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(subsumption_resolution,[],[f3465,f2889]) ).
fof(f3465,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ ssList(cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_149
| ~ spl72_156 ),
inference(equality_resolution,[],[f3151]) ).
fof(f3151,plain,
( ! [X6] :
( cons(sK70,sK20) != X6
| rearsegP(X6,sK20)
| ~ ssList(X6) )
| ~ spl72_1
| ~ spl72_149
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f3150,f618]) ).
fof(f3150,plain,
( ! [X6] :
( cons(sK70,sK20) != X6
| rearsegP(X6,sK20)
| ~ ssList(sK20)
| ~ ssList(X6) )
| ~ spl72_149
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f3140,f2884]) ).
fof(f3140,plain,
( ! [X6] :
( cons(sK70,sK20) != X6
| rearsegP(X6,sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK20)
| ~ ssList(X6) )
| ~ spl72_149 ),
inference(superposition,[],[f589,f2789]) ).
fof(f2789,plain,
( cons(sK70,sK20) = app(cons(sK70,nil),sK20)
| ~ spl72_149 ),
inference(avatar_component_clause,[],[f2787]) ).
fof(f3458,plain,
( spl72_183
| ~ spl72_1
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f3453,f2815,f2811,f2782,f616,f3455]) ).
fof(f2782,plain,
( spl72_148
<=> cons(sK24,sK20) = app(cons(sK24,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_148])]) ).
fof(f3453,plain,
( rearsegP(cons(sK24,sK20),sK20)
| ~ spl72_1
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(subsumption_resolution,[],[f3452,f2817]) ).
fof(f3452,plain,
( rearsegP(cons(sK24,sK20),sK20)
| ~ ssList(cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_148
| ~ spl72_152 ),
inference(equality_resolution,[],[f3149]) ).
fof(f3149,plain,
( ! [X5] :
( cons(sK24,sK20) != X5
| rearsegP(X5,sK20)
| ~ ssList(X5) )
| ~ spl72_1
| ~ spl72_148
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f3148,f618]) ).
fof(f3148,plain,
( ! [X5] :
( cons(sK24,sK20) != X5
| rearsegP(X5,sK20)
| ~ ssList(sK20)
| ~ ssList(X5) )
| ~ spl72_148
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f3139,f2812]) ).
fof(f3139,plain,
( ! [X5] :
( cons(sK24,sK20) != X5
| rearsegP(X5,sK20)
| ~ ssList(cons(sK24,nil))
| ~ ssList(sK20)
| ~ ssList(X5) )
| ~ spl72_148 ),
inference(superposition,[],[f589,f2784]) ).
fof(f2784,plain,
( cons(sK24,sK20) = app(cons(sK24,nil),sK20)
| ~ spl72_148 ),
inference(avatar_component_clause,[],[f2782]) ).
fof(f3360,plain,
( spl72_182
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143
| ~ spl72_146 ),
inference(avatar_split_clause,[],[f3355,f2746,f2718,f2672,f1756,f616,f3357]) ).
fof(f3357,plain,
( spl72_182
<=> sK20 = sK28(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_182])]) ).
fof(f1756,plain,
( spl72_81
<=> ssItem(hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_81])]) ).
fof(f2672,plain,
( spl72_142
<=> cons(hd(sK20),sK20) = app(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_142])]) ).
fof(f2746,plain,
( spl72_146
<=> sK20 = tl(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_146])]) ).
fof(f3355,plain,
( sK20 = sK28(app(sK20,sK20))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143
| ~ spl72_146 ),
inference(forward_demodulation,[],[f2734,f2748]) ).
fof(f2748,plain,
( sK20 = tl(app(sK20,sK20))
| ~ spl72_146 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f2734,plain,
( tl(app(sK20,sK20)) = sK28(app(sK20,sK20))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f439,f437,f442,f441,f440,f449,f457,f461,f460,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1758,f1764,f1766,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f2674,f2710,f2702,f2703,f2704,f2705,f2714,f2716,f2712,f2720,f2722,f2723,f2724,f2731,f2725,f2732,f2726,f2733,f2727]) ).
fof(f2727,plain,
( nil = app(sK20,sK20)
| tl(app(sK20,sK20)) = sK28(app(sK20,sK20))
| ~ spl72_143 ),
inference(resolution,[],[f2720,f479]) ).
fof(f2733,plain,
( hd(app(sK20,sK20)) = sK27(app(sK20,sK20))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f439,f437,f442,f441,f440,f449,f457,f461,f460,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1758,f1764,f1766,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f2674,f2710,f2702,f2703,f2704,f2705,f2714,f2716,f2712,f2720,f2722,f2723,f2724,f2731,f2725,f2732,f2726]) ).
fof(f2726,plain,
( nil = app(sK20,sK20)
| hd(app(sK20,sK20)) = sK27(app(sK20,sK20))
| ~ spl72_143 ),
inference(resolution,[],[f2720,f477]) ).
fof(f2732,plain,
( app(sK20,sK20) = cons(hd(app(sK20,sK20)),tl(app(sK20,sK20)))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f439,f437,f442,f441,f440,f449,f457,f461,f460,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1758,f1764,f1766,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f2674,f2710,f2702,f2703,f2704,f2705,f2714,f2716,f2712,f2720,f2722,f2723,f2724,f2731,f2725]) ).
fof(f2725,plain,
( nil = app(sK20,sK20)
| app(sK20,sK20) = cons(hd(app(sK20,sK20)),tl(app(sK20,sK20)))
| ~ spl72_143 ),
inference(resolution,[],[f2720,f475]) ).
fof(f2731,plain,
( app(sK20,sK20) = cons(sK26(app(sK20,sK20)),sK25(app(sK20,sK20)))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f439,f437,f442,f441,f440,f449,f457,f461,f460,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1758,f1764,f1766,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f2674,f2710,f2702,f2703,f2704,f2705,f2714,f2716,f2712,f2720,f2722,f2723,f2724]) ).
fof(f2724,plain,
( nil = app(sK20,sK20)
| app(sK20,sK20) = cons(sK26(app(sK20,sK20)),sK25(app(sK20,sK20)))
| ~ spl72_143 ),
inference(resolution,[],[f2720,f472]) ).
fof(f2723,plain,
( app(sK20,sK20) = app(nil,app(sK20,sK20))
| ~ spl72_143 ),
inference(resolution,[],[f2720,f469]) ).
fof(f2722,plain,
( app(sK20,sK20) = app(app(sK20,sK20),nil)
| ~ spl72_143 ),
inference(resolution,[],[f2720,f468]) ).
fof(f2712,plain,
( ssList(app(sK20,sK20))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2711,f618]) ).
fof(f2711,plain,
( ssList(app(sK20,sK20))
| ~ ssList(sK20)
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2706,f1758]) ).
fof(f2706,plain,
( ssList(app(sK20,sK20))
| ~ ssItem(hd(sK20))
| ~ ssList(sK20)
| ~ spl72_142 ),
inference(superposition,[],[f568,f2674]) ).
fof(f2716,plain,
( sK20 != app(sK20,sK20)
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2715,f618]) ).
fof(f2715,plain,
( sK20 != app(sK20,sK20)
| ~ ssList(sK20)
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2708,f1758]) ).
fof(f2708,plain,
( sK20 != app(sK20,sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(sK20)
| ~ spl72_142 ),
inference(superposition,[],[f570,f2674]) ).
fof(f2714,plain,
( nil != app(sK20,sK20)
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2713,f618]) ).
fof(f2713,plain,
( nil != app(sK20,sK20)
| ~ ssList(sK20)
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2707,f1758]) ).
fof(f2707,plain,
( nil != app(sK20,sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(sK20)
| ~ spl72_142 ),
inference(superposition,[],[f569,f2674]) ).
fof(f2705,plain,
( strictorderedP(app(sK20,sK20))
| ~ sP3(sK20,hd(sK20))
| ~ sP4(hd(sK20),sK20)
| ~ spl72_142 ),
inference(superposition,[],[f452,f2674]) ).
fof(f2704,plain,
( ~ strictorderedP(app(sK20,sK20))
| sP3(sK20,hd(sK20))
| ~ sP4(hd(sK20),sK20)
| ~ spl72_142 ),
inference(superposition,[],[f451,f2674]) ).
fof(f2703,plain,
( totalorderedP(app(sK20,sK20))
| ~ sP1(sK20,hd(sK20))
| ~ sP2(hd(sK20),sK20)
| ~ spl72_142 ),
inference(superposition,[],[f444,f2674]) ).
fof(f2702,plain,
( ~ totalorderedP(app(sK20,sK20))
| sP1(sK20,hd(sK20))
| ~ sP2(hd(sK20),sK20)
| ~ spl72_142 ),
inference(superposition,[],[f443,f2674]) ).
fof(f2710,plain,
( ! [X0] :
( memberP(app(sK20,sK20),X0)
| hd(sK20) != X0
| ~ ssItem(X0) )
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2709,f1758]) ).
fof(f2709,plain,
( ! [X0] :
( memberP(app(sK20,sK20),X0)
| hd(sK20) != X0
| ~ ssItem(hd(sK20))
| ~ ssItem(X0) )
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f2701,f618]) ).
fof(f2701,plain,
( ! [X0] :
( memberP(app(sK20,sK20),X0)
| hd(sK20) != X0
| ~ ssList(sK20)
| ~ ssItem(hd(sK20))
| ~ ssItem(X0) )
| ~ spl72_142 ),
inference(superposition,[],[f438,f2674]) ).
fof(f2674,plain,
( cons(hd(sK20),sK20) = app(sK20,sK20)
| ~ spl72_142 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f438,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f2661,plain,
( ! [X19] :
( cons(sK60(X19),sK20) = app(cons(sK60(X19),nil),sK20)
| sP17(X19) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f555]) ).
fof(f2660,plain,
( ! [X18] :
( cons(sK59(X18),sK20) = app(cons(sK59(X18),nil),sK20)
| sP17(X18) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f554]) ).
fof(f2659,plain,
( ! [X17] :
( cons(sK55(X17),sK20) = app(cons(sK55(X17),nil),sK20)
| sP15(X17) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f544]) ).
fof(f2658,plain,
( ! [X16] :
( cons(sK54(X16),sK20) = app(cons(sK54(X16),nil),sK20)
| sP15(X16) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f543]) ).
fof(f2657,plain,
( ! [X15] :
( cons(sK50(X15),sK20) = app(cons(sK50(X15),nil),sK20)
| sP13(X15) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f532]) ).
fof(f2656,plain,
( ! [X14] :
( cons(sK49(X14),sK20) = app(cons(sK49(X14),nil),sK20)
| sP13(X14) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f531]) ).
fof(f2655,plain,
( ! [X13] :
( cons(sK45(X13),sK20) = app(cons(sK45(X13),nil),sK20)
| sP11(X13) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f520]) ).
fof(f2654,plain,
( ! [X12] :
( cons(sK44(X12),sK20) = app(cons(sK44(X12),nil),sK20)
| sP11(X12) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f519]) ).
fof(f2653,plain,
( ! [X11] :
( cons(sK40(X11),sK20) = app(cons(sK40(X11),nil),sK20)
| sP9(X11) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f508]) ).
fof(f2652,plain,
( ! [X10] :
( cons(sK39(X10),sK20) = app(cons(sK39(X10),nil),sK20)
| sP9(X10) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f507]) ).
fof(f2651,plain,
( ! [X9] :
( cons(sK35(X9),sK20) = app(cons(sK35(X9),nil),sK20)
| sP7(X9) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f497]) ).
fof(f2650,plain,
( ! [X8] :
( cons(sK34(X8),sK20) = app(cons(sK34(X8),nil),sK20)
| sP7(X8) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f496]) ).
fof(f2649,plain,
( ! [X7] :
( cons(sK31(X7),sK20) = app(cons(sK31(X7),nil),sK20)
| sP5(X7) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f487]) ).
fof(f2648,plain,
( ! [X6] :
( cons(sK30(X6),sK20) = app(cons(sK30(X6),nil),sK20)
| sP5(X6) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f486]) ).
fof(f2646,plain,
( ! [X5] :
( cons(sK29(X5),sK20) = app(cons(sK29(X5),nil),sK20)
| ~ singletonP(X5)
| ~ ssList(X5) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f480]) ).
fof(f2645,plain,
( ! [X4] :
( cons(sK27(X4),sK20) = app(cons(sK27(X4),nil),sK20)
| nil = X4
| ~ ssList(X4) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f476]) ).
fof(f2642,plain,
( ! [X3] :
( cons(sK26(X3),sK20) = app(cons(sK26(X3),nil),sK20)
| nil = X3
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f471]) ).
fof(f2639,plain,
( ! [X2,X1] :
( cons(sK19(X1,X2),sK20) = app(cons(sK19(X1,X2),nil),sK20)
| ~ sP0(X1,X2) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f383]) ).
fof(f2636,plain,
( ! [X0] :
( cons(hd(X0),sK20) = app(cons(hd(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f2395,f473]) ).
fof(f2395,plain,
( ! [X9] :
( ~ ssItem(X9)
| cons(X9,sK20) = app(cons(X9,nil),sK20) )
| ~ spl72_1 ),
inference(resolution,[],[f573,f618]) ).
fof(f584,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax41) ).
fof(f583,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax54) ).
fof(f2427,plain,
! [X73,X74,X75] :
( ~ ssItem(X73)
| cons(X73,sK69(X74,X75)) = app(cons(X73,nil),sK69(X74,X75))
| ~ frontsegP(X74,X75)
| ~ ssList(X75)
| ~ ssList(X74) ),
inference(resolution,[],[f573,f594]) ).
fof(f2426,plain,
! [X72,X70,X71] :
( ~ ssItem(X70)
| cons(X70,sK68(X71,X72)) = app(cons(X70,nil),sK68(X71,X72))
| ~ segmentP(X71,X72)
| ~ ssList(X72)
| ~ ssList(X71) ),
inference(resolution,[],[f573,f591]) ).
fof(f2425,plain,
! [X68,X69,X67] :
( ~ ssItem(X67)
| cons(X67,sK67(X68,X69)) = app(cons(X67,nil),sK67(X68,X69))
| ~ segmentP(X68,X69)
| ~ ssList(X69)
| ~ ssList(X68) ),
inference(resolution,[],[f573,f590]) ).
fof(f2424,plain,
! [X65,X66,X64] :
( ~ ssItem(X64)
| cons(X64,sK66(X65,X66)) = app(cons(X64,nil),sK66(X65,X66))
| ~ rearsegP(X65,X66)
| ~ ssList(X66)
| ~ ssList(X65) ),
inference(resolution,[],[f573,f587]) ).
fof(f2423,plain,
! [X62,X63,X61] :
( ~ ssItem(X61)
| cons(X61,sK65(X62,X63)) = app(cons(X61,nil),sK65(X62,X63))
| ~ memberP(X62,X63)
| ~ ssItem(X63)
| ~ ssList(X62) ),
inference(resolution,[],[f573,f575]) ).
fof(f2422,plain,
! [X58,X59,X60] :
( ~ ssItem(X58)
| cons(X58,sK64(X59,X60)) = app(cons(X58,nil),sK64(X59,X60))
| ~ memberP(X59,X60)
| ~ ssItem(X60)
| ~ ssList(X59) ),
inference(resolution,[],[f573,f574]) ).
fof(f2421,plain,
! [X56,X57] :
( ~ ssItem(X56)
| cons(X56,sK63(X57)) = app(cons(X56,nil),sK63(X57))
| sP17(X57) ),
inference(resolution,[],[f573,f558]) ).
fof(f2420,plain,
! [X54,X55] :
( ~ ssItem(X54)
| cons(X54,sK62(X55)) = app(cons(X54,nil),sK62(X55))
| sP17(X55) ),
inference(resolution,[],[f573,f557]) ).
fof(f2419,plain,
! [X52,X53] :
( ~ ssItem(X52)
| cons(X52,sK61(X53)) = app(cons(X52,nil),sK61(X53))
| sP17(X53) ),
inference(resolution,[],[f573,f556]) ).
fof(f2418,plain,
! [X50,X51] :
( ~ ssItem(X50)
| cons(X50,sK58(X51)) = app(cons(X50,nil),sK58(X51))
| sP15(X51) ),
inference(resolution,[],[f573,f547]) ).
fof(f2417,plain,
! [X48,X49] :
( ~ ssItem(X48)
| cons(X48,sK57(X49)) = app(cons(X48,nil),sK57(X49))
| sP15(X49) ),
inference(resolution,[],[f573,f546]) ).
fof(f2416,plain,
! [X46,X47] :
( ~ ssItem(X46)
| cons(X46,sK56(X47)) = app(cons(X46,nil),sK56(X47))
| sP15(X47) ),
inference(resolution,[],[f573,f545]) ).
fof(f2415,plain,
! [X44,X45] :
( ~ ssItem(X44)
| cons(X44,sK53(X45)) = app(cons(X44,nil),sK53(X45))
| sP13(X45) ),
inference(resolution,[],[f573,f535]) ).
fof(f2414,plain,
! [X42,X43] :
( ~ ssItem(X42)
| cons(X42,sK52(X43)) = app(cons(X42,nil),sK52(X43))
| sP13(X43) ),
inference(resolution,[],[f573,f534]) ).
fof(f2413,plain,
! [X40,X41] :
( ~ ssItem(X40)
| cons(X40,sK51(X41)) = app(cons(X40,nil),sK51(X41))
| sP13(X41) ),
inference(resolution,[],[f573,f533]) ).
fof(f2412,plain,
! [X38,X39] :
( ~ ssItem(X38)
| cons(X38,sK48(X39)) = app(cons(X38,nil),sK48(X39))
| sP11(X39) ),
inference(resolution,[],[f573,f523]) ).
fof(f2411,plain,
! [X36,X37] :
( ~ ssItem(X36)
| cons(X36,sK47(X37)) = app(cons(X36,nil),sK47(X37))
| sP11(X37) ),
inference(resolution,[],[f573,f522]) ).
fof(f2410,plain,
! [X34,X35] :
( ~ ssItem(X34)
| cons(X34,sK46(X35)) = app(cons(X34,nil),sK46(X35))
| sP11(X35) ),
inference(resolution,[],[f573,f521]) ).
fof(f2409,plain,
! [X32,X33] :
( ~ ssItem(X32)
| cons(X32,sK43(X33)) = app(cons(X32,nil),sK43(X33))
| sP9(X33) ),
inference(resolution,[],[f573,f511]) ).
fof(f2408,plain,
! [X31,X30] :
( ~ ssItem(X30)
| cons(X30,sK42(X31)) = app(cons(X30,nil),sK42(X31))
| sP9(X31) ),
inference(resolution,[],[f573,f510]) ).
fof(f2407,plain,
! [X28,X29] :
( ~ ssItem(X28)
| cons(X28,sK41(X29)) = app(cons(X28,nil),sK41(X29))
| sP9(X29) ),
inference(resolution,[],[f573,f509]) ).
fof(f2406,plain,
! [X26,X27] :
( ~ ssItem(X26)
| cons(X26,sK38(X27)) = app(cons(X26,nil),sK38(X27))
| sP7(X27) ),
inference(resolution,[],[f573,f500]) ).
fof(f2405,plain,
! [X24,X25] :
( ~ ssItem(X24)
| cons(X24,sK37(X25)) = app(cons(X24,nil),sK37(X25))
| sP7(X25) ),
inference(resolution,[],[f573,f499]) ).
fof(f2404,plain,
! [X22,X23] :
( ~ ssItem(X22)
| cons(X22,sK36(X23)) = app(cons(X22,nil),sK36(X23))
| sP7(X23) ),
inference(resolution,[],[f573,f498]) ).
fof(f2403,plain,
! [X21,X20] :
( ~ ssItem(X20)
| cons(X20,sK33(X21)) = app(cons(X20,nil),sK33(X21))
| sP5(X21) ),
inference(resolution,[],[f573,f489]) ).
fof(f2402,plain,
! [X18,X19] :
( ~ ssItem(X18)
| cons(X18,sK32(X19)) = app(cons(X18,nil),sK32(X19))
| sP5(X19) ),
inference(resolution,[],[f573,f488]) ).
fof(f2401,plain,
! [X16,X17] :
( ~ ssItem(X16)
| cons(X16,sK28(X17)) = app(cons(X16,nil),sK28(X17))
| nil = X17
| ~ ssList(X17) ),
inference(resolution,[],[f573,f478]) ).
fof(f2399,plain,
! [X14,X13] :
( ~ ssItem(X13)
| cons(X13,sK25(X14)) = app(cons(X13,nil),sK25(X14))
| nil = X14
| ~ ssList(X14) ),
inference(resolution,[],[f573,f470]) ).
fof(f2394,plain,
! [X8,X7] :
( ~ ssItem(X7)
| cons(X7,tl(X8)) = app(cons(X7,nil),tl(X8))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f573,f474]) ).
fof(f2392,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| cons(X3,app(X4,X5)) = app(cons(X3,nil),app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f573,f578]) ).
fof(f2391,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f573,f568]) ).
fof(f573,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax81) ).
fof(f2305,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2301,f766]) ).
fof(f2301,plain,
! [X3] :
( sP13(X3)
| sK50(X3) = sK49(X3) ),
inference(subsumption_resolution,[],[f2300,f532]) ).
fof(f2300,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ ssItem(sK50(X3))
| sP13(X3) ),
inference(subsumption_resolution,[],[f2299,f531]) ).
fof(f2299,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ ssItem(sK49(X3))
| ~ ssItem(sK50(X3))
| sP13(X3) ),
inference(subsumption_resolution,[],[f2296,f538]) ).
fof(f2296,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ leq(sK50(X3),sK49(X3))
| ~ ssItem(sK49(X3))
| ~ ssItem(sK50(X3))
| sP13(X3) ),
inference(resolution,[],[f422,f537]) ).
fof(f2304,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| sP13(X4) ),
inference(subsumption_resolution,[],[f2303,f531]) ).
fof(f2303,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ ssItem(sK49(X4))
| sP13(X4) ),
inference(subsumption_resolution,[],[f2302,f532]) ).
fof(f2302,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ ssItem(sK50(X4))
| ~ ssItem(sK49(X4))
| sP13(X4) ),
inference(subsumption_resolution,[],[f2297,f537]) ).
fof(f2297,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ leq(sK49(X4),sK50(X4))
| ~ ssItem(sK50(X4))
| ~ ssItem(sK49(X4))
| sP13(X4) ),
inference(resolution,[],[f422,f538]) ).
fof(f2295,plain,
! [X2,X1] :
( hd(X1) = X2
| ~ leq(hd(X1),X2)
| ~ ssItem(X2)
| ~ ssItem(hd(X1))
| nil = X1
| ~ sP1(X1,X2) ),
inference(resolution,[],[f422,f447]) ).
fof(f422,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax29) ).
fof(f2237,plain,
! [X2,X1] :
( X1 = X2
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2) ),
inference(duplicate_literal_removal,[],[f2236]) ).
fof(f2236,plain,
! [X2,X1] :
( X1 = X2
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f421,f428]) ).
fof(f421,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax87) ).
fof(f2179,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| sP17(X11) ),
inference(subsumption_resolution,[],[f2178,f554]) ).
fof(f2178,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| ~ ssItem(sK59(X11))
| sP17(X11) ),
inference(subsumption_resolution,[],[f2168,f555]) ).
fof(f2168,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| ~ ssItem(sK60(X11))
| ~ ssItem(sK59(X11))
| sP17(X11) ),
inference(resolution,[],[f419,f560]) ).
fof(f2177,plain,
! [X10] :
( sK45(X10) = sK44(X10)
| ~ leq(sK45(X10),sK44(X10))
| sP11(X10) ),
inference(subsumption_resolution,[],[f2176,f520]) ).
fof(f2176,plain,
! [X10] :
( sK45(X10) = sK44(X10)
| ~ leq(sK45(X10),sK44(X10))
| ~ ssItem(sK45(X10))
| sP11(X10) ),
inference(subsumption_resolution,[],[f2167,f519]) ).
fof(f2167,plain,
! [X10] :
( sK45(X10) = sK44(X10)
| ~ leq(sK45(X10),sK44(X10))
| ~ ssItem(sK44(X10))
| ~ ssItem(sK45(X10))
| sP11(X10) ),
inference(resolution,[],[f419,f526]) ).
fof(f2175,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| sP11(X9) ),
inference(subsumption_resolution,[],[f2174,f519]) ).
fof(f2174,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| ~ ssItem(sK44(X9))
| sP11(X9) ),
inference(subsumption_resolution,[],[f2166,f520]) ).
fof(f2166,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| ~ ssItem(sK45(X9))
| ~ ssItem(sK44(X9))
| sP11(X9) ),
inference(resolution,[],[f419,f525]) ).
fof(f2165,plain,
! [X8,X7] :
( hd(X8) = X7
| ~ leq(X7,hd(X8))
| ~ ssItem(hd(X8))
| ~ ssItem(X7)
| sP3(X8,X7)
| ~ strictorderedP(X8) ),
inference(resolution,[],[f419,f1782]) ).
fof(f2173,plain,
! [X6,X5] :
( ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5) ),
inference(subsumption_resolution,[],[f2169,f429]) ).
fof(f2169,plain,
! [X6,X5] :
( X5 = X6
| ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5) ),
inference(duplicate_literal_removal,[],[f2164]) ).
fof(f2164,plain,
! [X6,X5] :
( X5 = X6
| ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5)
| ~ ssItem(X5)
| ~ ssItem(X6) ),
inference(resolution,[],[f419,f420]) ).
fof(f419,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax92) ).
fof(f598,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f379,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f378]) ).
fof(f378,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax83) ).
fof(f597,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f2021,plain,
! [X38,X37] :
( nil = sK69(X37,X38)
| sK69(X37,X38) = cons(hd(sK69(X37,X38)),tl(sK69(X37,X38)))
| ~ frontsegP(X37,X38)
| ~ ssList(X38)
| ~ ssList(X37) ),
inference(resolution,[],[f475,f594]) ).
fof(f2020,plain,
! [X36,X35] :
( nil = sK68(X35,X36)
| sK68(X35,X36) = cons(hd(sK68(X35,X36)),tl(sK68(X35,X36)))
| ~ segmentP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) ),
inference(resolution,[],[f475,f591]) ).
fof(f2019,plain,
! [X34,X33] :
( nil = sK67(X33,X34)
| sK67(X33,X34) = cons(hd(sK67(X33,X34)),tl(sK67(X33,X34)))
| ~ segmentP(X33,X34)
| ~ ssList(X34)
| ~ ssList(X33) ),
inference(resolution,[],[f475,f590]) ).
fof(f2018,plain,
! [X31,X32] :
( nil = sK66(X31,X32)
| sK66(X31,X32) = cons(hd(sK66(X31,X32)),tl(sK66(X31,X32)))
| ~ rearsegP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) ),
inference(resolution,[],[f475,f587]) ).
fof(f2017,plain,
! [X29,X30] :
( nil = sK65(X29,X30)
| sK65(X29,X30) = cons(hd(sK65(X29,X30)),tl(sK65(X29,X30)))
| ~ memberP(X29,X30)
| ~ ssItem(X30)
| ~ ssList(X29) ),
inference(resolution,[],[f475,f575]) ).
fof(f2016,plain,
! [X28,X27] :
( nil = sK64(X27,X28)
| sK64(X27,X28) = cons(hd(sK64(X27,X28)),tl(sK64(X27,X28)))
| ~ memberP(X27,X28)
| ~ ssItem(X28)
| ~ ssList(X27) ),
inference(resolution,[],[f475,f574]) ).
fof(f2015,plain,
! [X26] :
( nil = sK63(X26)
| sK63(X26) = cons(hd(sK63(X26)),tl(sK63(X26)))
| sP17(X26) ),
inference(resolution,[],[f475,f558]) ).
fof(f2014,plain,
! [X25] :
( nil = sK62(X25)
| sK62(X25) = cons(hd(sK62(X25)),tl(sK62(X25)))
| sP17(X25) ),
inference(resolution,[],[f475,f557]) ).
fof(f2013,plain,
! [X24] :
( nil = sK61(X24)
| sK61(X24) = cons(hd(sK61(X24)),tl(sK61(X24)))
| sP17(X24) ),
inference(resolution,[],[f475,f556]) ).
fof(f2012,plain,
! [X23] :
( nil = sK58(X23)
| sK58(X23) = cons(hd(sK58(X23)),tl(sK58(X23)))
| sP15(X23) ),
inference(resolution,[],[f475,f547]) ).
fof(f2011,plain,
! [X22] :
( nil = sK57(X22)
| sK57(X22) = cons(hd(sK57(X22)),tl(sK57(X22)))
| sP15(X22) ),
inference(resolution,[],[f475,f546]) ).
fof(f2010,plain,
! [X21] :
( nil = sK56(X21)
| sK56(X21) = cons(hd(sK56(X21)),tl(sK56(X21)))
| sP15(X21) ),
inference(resolution,[],[f475,f545]) ).
fof(f2009,plain,
! [X20] :
( nil = sK53(X20)
| sK53(X20) = cons(hd(sK53(X20)),tl(sK53(X20)))
| sP13(X20) ),
inference(resolution,[],[f475,f535]) ).
fof(f2008,plain,
! [X19] :
( nil = sK52(X19)
| sK52(X19) = cons(hd(sK52(X19)),tl(sK52(X19)))
| sP13(X19) ),
inference(resolution,[],[f475,f534]) ).
fof(f2007,plain,
! [X18] :
( nil = sK51(X18)
| sK51(X18) = cons(hd(sK51(X18)),tl(sK51(X18)))
| sP13(X18) ),
inference(resolution,[],[f475,f533]) ).
fof(f2006,plain,
! [X17] :
( nil = sK48(X17)
| sK48(X17) = cons(hd(sK48(X17)),tl(sK48(X17)))
| sP11(X17) ),
inference(resolution,[],[f475,f523]) ).
fof(f2005,plain,
! [X16] :
( nil = sK47(X16)
| sK47(X16) = cons(hd(sK47(X16)),tl(sK47(X16)))
| sP11(X16) ),
inference(resolution,[],[f475,f522]) ).
fof(f2004,plain,
! [X15] :
( nil = sK46(X15)
| sK46(X15) = cons(hd(sK46(X15)),tl(sK46(X15)))
| sP11(X15) ),
inference(resolution,[],[f475,f521]) ).
fof(f2003,plain,
! [X14] :
( nil = sK43(X14)
| sK43(X14) = cons(hd(sK43(X14)),tl(sK43(X14)))
| sP9(X14) ),
inference(resolution,[],[f475,f511]) ).
fof(f2002,plain,
! [X13] :
( nil = sK42(X13)
| sK42(X13) = cons(hd(sK42(X13)),tl(sK42(X13)))
| sP9(X13) ),
inference(resolution,[],[f475,f510]) ).
fof(f2001,plain,
! [X12] :
( nil = sK41(X12)
| sK41(X12) = cons(hd(sK41(X12)),tl(sK41(X12)))
| sP9(X12) ),
inference(resolution,[],[f475,f509]) ).
fof(f2000,plain,
! [X11] :
( nil = sK38(X11)
| sK38(X11) = cons(hd(sK38(X11)),tl(sK38(X11)))
| sP7(X11) ),
inference(resolution,[],[f475,f500]) ).
fof(f1999,plain,
! [X10] :
( nil = sK37(X10)
| sK37(X10) = cons(hd(sK37(X10)),tl(sK37(X10)))
| sP7(X10) ),
inference(resolution,[],[f475,f499]) ).
fof(f1998,plain,
! [X9] :
( nil = sK36(X9)
| sK36(X9) = cons(hd(sK36(X9)),tl(sK36(X9)))
| sP7(X9) ),
inference(resolution,[],[f475,f498]) ).
fof(f1997,plain,
! [X8] :
( nil = sK33(X8)
| sK33(X8) = cons(hd(sK33(X8)),tl(sK33(X8)))
| sP5(X8) ),
inference(resolution,[],[f475,f489]) ).
fof(f1996,plain,
! [X7] :
( nil = sK32(X7)
| sK32(X7) = cons(hd(sK32(X7)),tl(sK32(X7)))
| sP5(X7) ),
inference(resolution,[],[f475,f488]) ).
fof(f1995,plain,
! [X6] :
( nil = sK28(X6)
| sK28(X6) = cons(hd(sK28(X6)),tl(sK28(X6)))
| nil = X6
| ~ ssList(X6) ),
inference(resolution,[],[f475,f478]) ).
fof(f1994,plain,
! [X5] :
( nil = sK25(X5)
| sK25(X5) = cons(hd(sK25(X5)),tl(sK25(X5)))
| nil = X5
| ~ ssList(X5) ),
inference(resolution,[],[f475,f470]) ).
fof(f1989,plain,
! [X4] :
( nil = tl(X4)
| tl(X4) = cons(hd(tl(X4)),tl(tl(X4)))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f475,f474]) ).
fof(f1987,plain,
! [X2,X3] :
( nil = app(X2,X3)
| app(X2,X3) = cons(hd(app(X2,X3)),tl(app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f475,f578]) ).
fof(f2022,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1986,f569]) ).
fof(f1986,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f475,f568]) ).
fof(f475,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax78) ).
fof(f1916,plain,
! [X38,X37] :
( nil = sK69(X37,X38)
| sK69(X37,X38) = cons(sK26(sK69(X37,X38)),sK25(sK69(X37,X38)))
| ~ frontsegP(X37,X38)
| ~ ssList(X38)
| ~ ssList(X37) ),
inference(resolution,[],[f472,f594]) ).
fof(f1915,plain,
! [X36,X35] :
( nil = sK68(X35,X36)
| sK68(X35,X36) = cons(sK26(sK68(X35,X36)),sK25(sK68(X35,X36)))
| ~ segmentP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) ),
inference(resolution,[],[f472,f591]) ).
fof(f1914,plain,
! [X34,X33] :
( nil = sK67(X33,X34)
| sK67(X33,X34) = cons(sK26(sK67(X33,X34)),sK25(sK67(X33,X34)))
| ~ segmentP(X33,X34)
| ~ ssList(X34)
| ~ ssList(X33) ),
inference(resolution,[],[f472,f590]) ).
fof(f1913,plain,
! [X31,X32] :
( nil = sK66(X31,X32)
| sK66(X31,X32) = cons(sK26(sK66(X31,X32)),sK25(sK66(X31,X32)))
| ~ rearsegP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) ),
inference(resolution,[],[f472,f587]) ).
fof(f1912,plain,
! [X29,X30] :
( nil = sK65(X29,X30)
| sK65(X29,X30) = cons(sK26(sK65(X29,X30)),sK25(sK65(X29,X30)))
| ~ memberP(X29,X30)
| ~ ssItem(X30)
| ~ ssList(X29) ),
inference(resolution,[],[f472,f575]) ).
fof(f1911,plain,
! [X28,X27] :
( nil = sK64(X27,X28)
| sK64(X27,X28) = cons(sK26(sK64(X27,X28)),sK25(sK64(X27,X28)))
| ~ memberP(X27,X28)
| ~ ssItem(X28)
| ~ ssList(X27) ),
inference(resolution,[],[f472,f574]) ).
fof(f1910,plain,
! [X26] :
( nil = sK63(X26)
| sK63(X26) = cons(sK26(sK63(X26)),sK25(sK63(X26)))
| sP17(X26) ),
inference(resolution,[],[f472,f558]) ).
fof(f1909,plain,
! [X25] :
( nil = sK62(X25)
| sK62(X25) = cons(sK26(sK62(X25)),sK25(sK62(X25)))
| sP17(X25) ),
inference(resolution,[],[f472,f557]) ).
fof(f1908,plain,
! [X24] :
( nil = sK61(X24)
| sK61(X24) = cons(sK26(sK61(X24)),sK25(sK61(X24)))
| sP17(X24) ),
inference(resolution,[],[f472,f556]) ).
fof(f1907,plain,
! [X23] :
( nil = sK58(X23)
| sK58(X23) = cons(sK26(sK58(X23)),sK25(sK58(X23)))
| sP15(X23) ),
inference(resolution,[],[f472,f547]) ).
fof(f1906,plain,
! [X22] :
( nil = sK57(X22)
| sK57(X22) = cons(sK26(sK57(X22)),sK25(sK57(X22)))
| sP15(X22) ),
inference(resolution,[],[f472,f546]) ).
fof(f1905,plain,
! [X21] :
( nil = sK56(X21)
| sK56(X21) = cons(sK26(sK56(X21)),sK25(sK56(X21)))
| sP15(X21) ),
inference(resolution,[],[f472,f545]) ).
fof(f1904,plain,
! [X20] :
( nil = sK53(X20)
| sK53(X20) = cons(sK26(sK53(X20)),sK25(sK53(X20)))
| sP13(X20) ),
inference(resolution,[],[f472,f535]) ).
fof(f1903,plain,
! [X19] :
( nil = sK52(X19)
| sK52(X19) = cons(sK26(sK52(X19)),sK25(sK52(X19)))
| sP13(X19) ),
inference(resolution,[],[f472,f534]) ).
fof(f1902,plain,
! [X18] :
( nil = sK51(X18)
| sK51(X18) = cons(sK26(sK51(X18)),sK25(sK51(X18)))
| sP13(X18) ),
inference(resolution,[],[f472,f533]) ).
fof(f1901,plain,
! [X17] :
( nil = sK48(X17)
| sK48(X17) = cons(sK26(sK48(X17)),sK25(sK48(X17)))
| sP11(X17) ),
inference(resolution,[],[f472,f523]) ).
fof(f1900,plain,
! [X16] :
( nil = sK47(X16)
| sK47(X16) = cons(sK26(sK47(X16)),sK25(sK47(X16)))
| sP11(X16) ),
inference(resolution,[],[f472,f522]) ).
fof(f1899,plain,
! [X15] :
( nil = sK46(X15)
| sK46(X15) = cons(sK26(sK46(X15)),sK25(sK46(X15)))
| sP11(X15) ),
inference(resolution,[],[f472,f521]) ).
fof(f1898,plain,
! [X14] :
( nil = sK43(X14)
| sK43(X14) = cons(sK26(sK43(X14)),sK25(sK43(X14)))
| sP9(X14) ),
inference(resolution,[],[f472,f511]) ).
fof(f1897,plain,
! [X13] :
( nil = sK42(X13)
| sK42(X13) = cons(sK26(sK42(X13)),sK25(sK42(X13)))
| sP9(X13) ),
inference(resolution,[],[f472,f510]) ).
fof(f1896,plain,
! [X12] :
( nil = sK41(X12)
| sK41(X12) = cons(sK26(sK41(X12)),sK25(sK41(X12)))
| sP9(X12) ),
inference(resolution,[],[f472,f509]) ).
fof(f1895,plain,
! [X11] :
( nil = sK38(X11)
| sK38(X11) = cons(sK26(sK38(X11)),sK25(sK38(X11)))
| sP7(X11) ),
inference(resolution,[],[f472,f500]) ).
fof(f1894,plain,
! [X10] :
( nil = sK37(X10)
| sK37(X10) = cons(sK26(sK37(X10)),sK25(sK37(X10)))
| sP7(X10) ),
inference(resolution,[],[f472,f499]) ).
fof(f1893,plain,
! [X9] :
( nil = sK36(X9)
| sK36(X9) = cons(sK26(sK36(X9)),sK25(sK36(X9)))
| sP7(X9) ),
inference(resolution,[],[f472,f498]) ).
fof(f1892,plain,
! [X8] :
( nil = sK33(X8)
| sK33(X8) = cons(sK26(sK33(X8)),sK25(sK33(X8)))
| sP5(X8) ),
inference(resolution,[],[f472,f489]) ).
fof(f1891,plain,
! [X7] :
( nil = sK32(X7)
| sK32(X7) = cons(sK26(sK32(X7)),sK25(sK32(X7)))
| sP5(X7) ),
inference(resolution,[],[f472,f488]) ).
fof(f1890,plain,
! [X6] :
( nil = sK28(X6)
| sK28(X6) = cons(sK26(sK28(X6)),sK25(sK28(X6)))
| nil = X6
| ~ ssList(X6) ),
inference(resolution,[],[f472,f478]) ).
fof(f1889,plain,
! [X5] :
( nil = sK25(X5)
| sK25(X5) = cons(sK26(sK25(X5)),sK25(sK25(X5)))
| nil = X5
| ~ ssList(X5) ),
inference(resolution,[],[f472,f470]) ).
fof(f1884,plain,
! [X4] :
( nil = tl(X4)
| tl(X4) = cons(sK26(tl(X4)),sK25(tl(X4)))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f472,f474]) ).
fof(f1882,plain,
! [X2,X3] :
( nil = app(X2,X3)
| app(X2,X3) = cons(sK26(app(X2,X3)),sK25(app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f472,f578]) ).
fof(f1917,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1881,f569]) ).
fof(f1881,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f472,f568]) ).
fof(f472,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK26(X0),sK25(X0)) = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( cons(sK26(X0),sK25(X0)) = X0
& ssItem(sK26(X0))
& ssList(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f150,f284,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK25(X0)) = X0
& ssItem(X2) )
& ssList(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK25(X0)) = X0
& ssItem(X2) )
=> ( cons(sK26(X0),sK25(X0)) = X0
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax20) ).
fof(f1782,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP3(X0,X1)
| ~ strictorderedP(X0) ),
inference(subsumption_resolution,[],[f457,f456]) ).
fof(f1766,plain,
( sK20 = tl(cons(hd(sK20),sK20))
| ~ spl72_1
| ~ spl72_81 ),
inference(resolution,[],[f1758,f1185]) ).
fof(f1764,plain,
( hd(sK20) = hd(cons(hd(sK20),sK20))
| ~ spl72_1
| ~ spl72_81 ),
inference(resolution,[],[f1758,f1258]) ).
fof(f1758,plain,
( ssItem(hd(sK20))
| ~ spl72_81 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1698,plain,
! [X2] :
( sP1(X2,hd(X2))
| ~ totalorderedP(X2)
| ~ ssItem(hd(X2)) ),
inference(resolution,[],[f1637,f410]) ).
fof(f1637,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP1(X0,X1)
| ~ totalorderedP(X0) ),
inference(subsumption_resolution,[],[f449,f448]) ).
fof(f1621,plain,
! [X12,X13] :
( ~ frontsegP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK69(X12,X13) = app(sK69(X12,X13),nil) ),
inference(resolution,[],[f594,f468]) ).
fof(f1620,plain,
! [X10,X11] :
( ~ frontsegP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK69(X10,X11) = app(nil,sK69(X10,X11)) ),
inference(resolution,[],[f594,f469]) ).
fof(f1619,plain,
! [X8,X9] :
( ~ frontsegP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK69(X8,X9)
| hd(sK69(X8,X9)) = sK27(sK69(X8,X9)) ),
inference(resolution,[],[f594,f477]) ).
fof(f1618,plain,
! [X6,X7] :
( ~ frontsegP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK69(X6,X7)
| tl(sK69(X6,X7)) = sK28(sK69(X6,X7)) ),
inference(resolution,[],[f594,f479]) ).
fof(f1617,plain,
! [X3,X4,X5] :
( ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK69(X3,X4) = tl(cons(X5,sK69(X3,X4))) ),
inference(resolution,[],[f594,f571]) ).
fof(f1616,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK69(X0,X1))) = X2 ),
inference(resolution,[],[f594,f572]) ).
fof(f594,plain,
! [X0,X1] :
( ssList(sK69(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f375,f376]) ).
fof(f376,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f375,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f374]) ).
fof(f374,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax5) ).
fof(f1611,plain,
( ! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1347,f770]) ).
fof(f1347,plain,
( ! [X19] :
( sP17(X19)
| sK60(X19) = hd(cons(sK60(X19),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f555]) ).
fof(f1610,plain,
( ! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1346,f770]) ).
fof(f1346,plain,
( ! [X18] :
( sP17(X18)
| sK59(X18) = hd(cons(sK59(X18),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f554]) ).
fof(f1609,plain,
( ! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1345,f768]) ).
fof(f1345,plain,
( ! [X17] :
( sP15(X17)
| sK55(X17) = hd(cons(sK55(X17),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f544]) ).
fof(f1608,plain,
( ! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1344,f768]) ).
fof(f1344,plain,
( ! [X16] :
( sP15(X16)
| sK54(X16) = hd(cons(sK54(X16),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f543]) ).
fof(f1607,plain,
( ! [X0] :
( sK50(X0) = hd(cons(sK50(X0),sK20))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1343,f766]) ).
fof(f1343,plain,
( ! [X15] :
( sP13(X15)
| sK50(X15) = hd(cons(sK50(X15),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f532]) ).
fof(f1606,plain,
( ! [X0] :
( sK49(X0) = hd(cons(sK49(X0),sK20))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1342,f766]) ).
fof(f1342,plain,
( ! [X14] :
( sP13(X14)
| sK49(X14) = hd(cons(sK49(X14),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f531]) ).
fof(f1605,plain,
( ! [X0] :
( sK45(X0) = hd(cons(sK45(X0),sK20))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1341,f764]) ).
fof(f1341,plain,
( ! [X13] :
( sP11(X13)
| sK45(X13) = hd(cons(sK45(X13),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f520]) ).
fof(f1604,plain,
! [X12,X13] :
( ~ segmentP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK68(X12,X13) = app(sK68(X12,X13),nil) ),
inference(resolution,[],[f591,f468]) ).
fof(f1603,plain,
! [X10,X11] :
( ~ segmentP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK68(X10,X11) = app(nil,sK68(X10,X11)) ),
inference(resolution,[],[f591,f469]) ).
fof(f1602,plain,
! [X8,X9] :
( ~ segmentP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK68(X8,X9)
| hd(sK68(X8,X9)) = sK27(sK68(X8,X9)) ),
inference(resolution,[],[f591,f477]) ).
fof(f1601,plain,
! [X6,X7] :
( ~ segmentP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK68(X6,X7)
| tl(sK68(X6,X7)) = sK28(sK68(X6,X7)) ),
inference(resolution,[],[f591,f479]) ).
fof(f1600,plain,
! [X3,X4,X5] :
( ~ segmentP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK68(X3,X4) = tl(cons(X5,sK68(X3,X4))) ),
inference(resolution,[],[f591,f571]) ).
fof(f1599,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ),
inference(resolution,[],[f591,f572]) ).
fof(f591,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
& ssList(sK68(X0,X1))
& ssList(sK67(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f370,f372,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK67(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK67(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax7) ).
fof(f1598,plain,
( ! [X0] :
( sK44(X0) = hd(cons(sK44(X0),sK20))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1340,f764]) ).
fof(f1340,plain,
( ! [X12] :
( sP11(X12)
| sK44(X12) = hd(cons(sK44(X12),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f519]) ).
fof(f1597,plain,
( ! [X0] :
( sK40(X0) = hd(cons(sK40(X0),sK20))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1339,f762]) ).
fof(f1339,plain,
( ! [X11] :
( sP9(X11)
| sK40(X11) = hd(cons(sK40(X11),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f508]) ).
fof(f1596,plain,
( ! [X0] :
( sK39(X0) = hd(cons(sK39(X0),sK20))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1338,f762]) ).
fof(f1338,plain,
( ! [X10] :
( sP9(X10)
| sK39(X10) = hd(cons(sK39(X10),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f507]) ).
fof(f1595,plain,
( ! [X0] :
( sK35(X0) = hd(cons(sK35(X0),sK20))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1337,f760]) ).
fof(f1337,plain,
( ! [X9] :
( sP7(X9)
| sK35(X9) = hd(cons(sK35(X9),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f497]) ).
fof(f1594,plain,
( ! [X0] :
( sK34(X0) = hd(cons(sK34(X0),sK20))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1336,f760]) ).
fof(f1336,plain,
( ! [X8] :
( sP7(X8)
| sK34(X8) = hd(cons(sK34(X8),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f496]) ).
fof(f1593,plain,
( ! [X0] :
( sK31(X0) = hd(cons(sK31(X0),sK20))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1335,f758]) ).
fof(f1335,plain,
( ! [X7] :
( sP5(X7)
| sK31(X7) = hd(cons(sK31(X7),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f487]) ).
fof(f1592,plain,
( ! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK20))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1334,f758]) ).
fof(f1334,plain,
( ! [X6] :
( sP5(X6)
| sK30(X6) = hd(cons(sK30(X6),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f486]) ).
fof(f1587,plain,
! [X12,X13] :
( ~ segmentP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK67(X12,X13) = app(sK67(X12,X13),nil) ),
inference(resolution,[],[f590,f468]) ).
fof(f1586,plain,
! [X10,X11] :
( ~ segmentP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK67(X10,X11) = app(nil,sK67(X10,X11)) ),
inference(resolution,[],[f590,f469]) ).
fof(f1585,plain,
! [X8,X9] :
( ~ segmentP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK67(X8,X9)
| hd(sK67(X8,X9)) = sK27(sK67(X8,X9)) ),
inference(resolution,[],[f590,f477]) ).
fof(f1584,plain,
! [X6,X7] :
( ~ segmentP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK67(X6,X7)
| tl(sK67(X6,X7)) = sK28(sK67(X6,X7)) ),
inference(resolution,[],[f590,f479]) ).
fof(f1583,plain,
! [X3,X4,X5] :
( ~ segmentP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK67(X3,X4) = tl(cons(X5,sK67(X3,X4))) ),
inference(resolution,[],[f590,f571]) ).
fof(f1582,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f590,f572]) ).
fof(f590,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1571,plain,
( ! [X0] :
( sK20 = tl(cons(sK60(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1233,f770]) ).
fof(f1233,plain,
( ! [X19] :
( sP17(X19)
| sK20 = tl(cons(sK60(X19),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f555]) ).
fof(f1570,plain,
! [X12,X13] :
( ~ rearsegP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK66(X12,X13) = app(sK66(X12,X13),nil) ),
inference(resolution,[],[f587,f468]) ).
fof(f1569,plain,
! [X10,X11] :
( ~ rearsegP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK66(X10,X11) = app(nil,sK66(X10,X11)) ),
inference(resolution,[],[f587,f469]) ).
fof(f1568,plain,
! [X8,X9] :
( ~ rearsegP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK66(X8,X9)
| hd(sK66(X8,X9)) = sK27(sK66(X8,X9)) ),
inference(resolution,[],[f587,f477]) ).
fof(f1567,plain,
! [X6,X7] :
( ~ rearsegP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK66(X6,X7)
| tl(sK66(X6,X7)) = sK28(sK66(X6,X7)) ),
inference(resolution,[],[f587,f479]) ).
fof(f1566,plain,
! [X3,X4,X5] :
( ~ rearsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK66(X3,X4) = tl(cons(X5,sK66(X3,X4))) ),
inference(resolution,[],[f587,f571]) ).
fof(f1565,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f587,f572]) ).
fof(f587,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1564,plain,
( ! [X0] :
( sK20 = tl(cons(sK59(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1232,f770]) ).
fof(f1232,plain,
( ! [X18] :
( sP17(X18)
| sK20 = tl(cons(sK59(X18),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f554]) ).
fof(f1563,plain,
( ! [X0] :
( sK20 = tl(cons(sK55(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1231,f768]) ).
fof(f1231,plain,
( ! [X17] :
( sP15(X17)
| sK20 = tl(cons(sK55(X17),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f544]) ).
fof(f1562,plain,
( ! [X0] :
( sK20 = tl(cons(sK54(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1230,f768]) ).
fof(f1230,plain,
( ! [X16] :
( sP15(X16)
| sK20 = tl(cons(sK54(X16),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f543]) ).
fof(f1561,plain,
( ! [X0] :
( sK20 = tl(cons(sK50(X0),sK20))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1229,f766]) ).
fof(f1229,plain,
( ! [X15] :
( sP13(X15)
| sK20 = tl(cons(sK50(X15),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f532]) ).
fof(f1560,plain,
( ! [X0] :
( sK20 = tl(cons(sK49(X0),sK20))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1228,f766]) ).
fof(f1228,plain,
( ! [X14] :
( sP13(X14)
| sK20 = tl(cons(sK49(X14),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f531]) ).
fof(f1559,plain,
( ! [X0] :
( sK20 = tl(cons(sK45(X0),sK20))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1227,f764]) ).
fof(f1227,plain,
( ! [X13] :
( sP11(X13)
| sK20 = tl(cons(sK45(X13),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f520]) ).
fof(f1558,plain,
( ! [X0] :
( sK20 = tl(cons(sK44(X0),sK20))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1226,f764]) ).
fof(f1226,plain,
( ! [X12] :
( sP11(X12)
| sK20 = tl(cons(sK44(X12),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f519]) ).
fof(f1557,plain,
( ! [X0] :
( sK20 = tl(cons(sK40(X0),sK20))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1225,f762]) ).
fof(f1225,plain,
( ! [X11] :
( sP9(X11)
| sK20 = tl(cons(sK40(X11),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f508]) ).
fof(f1556,plain,
( ! [X0] :
( sK20 = tl(cons(sK39(X0),sK20))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1224,f762]) ).
fof(f1224,plain,
( ! [X10] :
( sP9(X10)
| sK20 = tl(cons(sK39(X10),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f507]) ).
fof(f1549,plain,
! [X12,X13] :
( ~ memberP(X12,X13)
| ~ ssItem(X13)
| ~ ssList(X12)
| sK65(X12,X13) = app(sK65(X12,X13),nil) ),
inference(resolution,[],[f575,f468]) ).
fof(f1548,plain,
! [X10,X11] :
( ~ memberP(X10,X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| sK65(X10,X11) = app(nil,sK65(X10,X11)) ),
inference(resolution,[],[f575,f469]) ).
fof(f1547,plain,
! [X8,X9] :
( ~ memberP(X8,X9)
| ~ ssItem(X9)
| ~ ssList(X8)
| nil = sK65(X8,X9)
| hd(sK65(X8,X9)) = sK27(sK65(X8,X9)) ),
inference(resolution,[],[f575,f477]) ).
fof(f1546,plain,
! [X6,X7] :
( ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ ssList(X6)
| nil = sK65(X6,X7)
| tl(sK65(X6,X7)) = sK28(sK65(X6,X7)) ),
inference(resolution,[],[f575,f479]) ).
fof(f1545,plain,
! [X3,X4,X5] :
( ~ memberP(X3,X4)
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK65(X3,X4) = tl(cons(X5,sK65(X3,X4))) ),
inference(resolution,[],[f575,f571]) ).
fof(f1544,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f575,f572]) ).
fof(f575,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
& ssList(sK65(X0,X1))
& ssList(sK64(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f360,f362,f361]) ).
fof(f361,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK64(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X5] :
( app(sK64(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax3) ).
fof(f1505,plain,
! [X12,X13] :
( ~ memberP(X12,X13)
| ~ ssItem(X13)
| ~ ssList(X12)
| sK64(X12,X13) = app(sK64(X12,X13),nil) ),
inference(resolution,[],[f574,f468]) ).
fof(f1504,plain,
! [X10,X11] :
( ~ memberP(X10,X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| sK64(X10,X11) = app(nil,sK64(X10,X11)) ),
inference(resolution,[],[f574,f469]) ).
fof(f1503,plain,
! [X8,X9] :
( ~ memberP(X8,X9)
| ~ ssItem(X9)
| ~ ssList(X8)
| nil = sK64(X8,X9)
| hd(sK64(X8,X9)) = sK27(sK64(X8,X9)) ),
inference(resolution,[],[f574,f477]) ).
fof(f1502,plain,
! [X6,X7] :
( ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ ssList(X6)
| nil = sK64(X6,X7)
| tl(sK64(X6,X7)) = sK28(sK64(X6,X7)) ),
inference(resolution,[],[f574,f479]) ).
fof(f1501,plain,
! [X3,X4,X5] :
( ~ memberP(X3,X4)
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK64(X3,X4) = tl(cons(X5,sK64(X3,X4))) ),
inference(resolution,[],[f574,f571]) ).
fof(f1500,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f574,f572]) ).
fof(f574,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f1442,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(equality_resolution,[],[f482]) ).
fof(f482,plain,
! [X0,X1] :
( cons(X1,nil) != X0
| singletonP(X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f291,f292]) ).
fof(f292,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax4) ).
fof(f1440,plain,
( ! [X0] :
( sK20 = tl(cons(sK35(X0),sK20))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1223,f760]) ).
fof(f1223,plain,
( ! [X9] :
( sP7(X9)
| sK20 = tl(cons(sK35(X9),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f497]) ).
fof(f1439,plain,
( ! [X0] :
( sK20 = tl(cons(sK34(X0),sK20))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1222,f760]) ).
fof(f1222,plain,
( ! [X8] :
( sP7(X8)
| sK20 = tl(cons(sK34(X8),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f496]) ).
fof(f1438,plain,
( ! [X0] :
( sK20 = tl(cons(sK31(X0),sK20))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1221,f758]) ).
fof(f1221,plain,
( ! [X7] :
( sP5(X7)
| sK20 = tl(cons(sK31(X7),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f487]) ).
fof(f1437,plain,
( ! [X0] :
( sK20 = tl(cons(sK30(X0),sK20))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1220,f758]) ).
fof(f1220,plain,
( ! [X6] :
( sP5(X6)
| sK20 = tl(cons(sK30(X6),sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f486]) ).
fof(f586,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax15) ).
fof(f585,plain,
! [X0,X1] :
( ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1333,plain,
( ! [X5] :
( sK29(X5) = hd(cons(sK29(X5),sK20))
| ~ singletonP(X5)
| ~ ssList(X5) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f480]) ).
fof(f1332,plain,
( ! [X4] :
( sK27(X4) = hd(cons(sK27(X4),sK20))
| nil = X4
| ~ ssList(X4) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f476]) ).
fof(f1331,plain,
( ! [X3] :
( sK26(X3) = hd(cons(sK26(X3),sK20))
| nil = X3
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f471]) ).
fof(f1328,plain,
( ! [X2,X1] :
( sK19(X1,X2) = hd(cons(sK19(X1,X2),sK20))
| ~ sP0(X1,X2) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f383]) ).
fof(f1327,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),sK20))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1258,f473]) ).
fof(f1258,plain,
( ! [X9] :
( ~ ssItem(X9)
| hd(cons(X9,sK20)) = X9 )
| ~ spl72_1 ),
inference(resolution,[],[f572,f618]) ).
fof(f1283,plain,
! [X56,X55] :
( ~ ssItem(X55)
| hd(cons(X55,sK63(X56))) = X55
| sP17(X56) ),
inference(resolution,[],[f572,f558]) ).
fof(f1282,plain,
! [X54,X53] :
( ~ ssItem(X53)
| hd(cons(X53,sK62(X54))) = X53
| sP17(X54) ),
inference(resolution,[],[f572,f557]) ).
fof(f1281,plain,
! [X51,X52] :
( ~ ssItem(X51)
| hd(cons(X51,sK61(X52))) = X51
| sP17(X52) ),
inference(resolution,[],[f572,f556]) ).
fof(f1280,plain,
! [X50,X49] :
( ~ ssItem(X49)
| hd(cons(X49,sK58(X50))) = X49
| sP15(X50) ),
inference(resolution,[],[f572,f547]) ).
fof(f1279,plain,
! [X48,X47] :
( ~ ssItem(X47)
| hd(cons(X47,sK57(X48))) = X47
| sP15(X48) ),
inference(resolution,[],[f572,f546]) ).
fof(f1278,plain,
! [X46,X45] :
( ~ ssItem(X45)
| hd(cons(X45,sK56(X46))) = X45
| sP15(X46) ),
inference(resolution,[],[f572,f545]) ).
fof(f1277,plain,
! [X44,X43] :
( ~ ssItem(X43)
| hd(cons(X43,sK53(X44))) = X43
| sP13(X44) ),
inference(resolution,[],[f572,f535]) ).
fof(f1276,plain,
! [X41,X42] :
( ~ ssItem(X41)
| hd(cons(X41,sK52(X42))) = X41
| sP13(X42) ),
inference(resolution,[],[f572,f534]) ).
fof(f1275,plain,
! [X40,X39] :
( ~ ssItem(X39)
| hd(cons(X39,sK51(X40))) = X39
| sP13(X40) ),
inference(resolution,[],[f572,f533]) ).
fof(f1274,plain,
! [X38,X37] :
( ~ ssItem(X37)
| hd(cons(X37,sK48(X38))) = X37
| sP11(X38) ),
inference(resolution,[],[f572,f523]) ).
fof(f1273,plain,
! [X36,X35] :
( ~ ssItem(X35)
| hd(cons(X35,sK47(X36))) = X35
| sP11(X36) ),
inference(resolution,[],[f572,f522]) ).
fof(f1272,plain,
! [X34,X33] :
( ~ ssItem(X33)
| hd(cons(X33,sK46(X34))) = X33
| sP11(X34) ),
inference(resolution,[],[f572,f521]) ).
fof(f1271,plain,
! [X31,X32] :
( ~ ssItem(X31)
| hd(cons(X31,sK43(X32))) = X31
| sP9(X32) ),
inference(resolution,[],[f572,f511]) ).
fof(f1270,plain,
! [X29,X30] :
( ~ ssItem(X29)
| hd(cons(X29,sK42(X30))) = X29
| sP9(X30) ),
inference(resolution,[],[f572,f510]) ).
fof(f1269,plain,
! [X28,X27] :
( ~ ssItem(X27)
| hd(cons(X27,sK41(X28))) = X27
| sP9(X28) ),
inference(resolution,[],[f572,f509]) ).
fof(f1268,plain,
! [X26,X25] :
( ~ ssItem(X25)
| hd(cons(X25,sK38(X26))) = X25
| sP7(X26) ),
inference(resolution,[],[f572,f500]) ).
fof(f1267,plain,
! [X24,X23] :
( ~ ssItem(X23)
| hd(cons(X23,sK37(X24))) = X23
| sP7(X24) ),
inference(resolution,[],[f572,f499]) ).
fof(f1266,plain,
! [X21,X22] :
( ~ ssItem(X21)
| hd(cons(X21,sK36(X22))) = X21
| sP7(X22) ),
inference(resolution,[],[f572,f498]) ).
fof(f1265,plain,
! [X19,X20] :
( ~ ssItem(X19)
| hd(cons(X19,sK33(X20))) = X19
| sP5(X20) ),
inference(resolution,[],[f572,f489]) ).
fof(f1264,plain,
! [X18,X17] :
( ~ ssItem(X17)
| hd(cons(X17,sK32(X18))) = X17
| sP5(X18) ),
inference(resolution,[],[f572,f488]) ).
fof(f1263,plain,
! [X16,X15] :
( ~ ssItem(X15)
| hd(cons(X15,sK28(X16))) = X15
| nil = X16
| ~ ssList(X16) ),
inference(resolution,[],[f572,f478]) ).
fof(f1262,plain,
! [X14,X13] :
( ~ ssItem(X13)
| hd(cons(X13,sK25(X14))) = X13
| nil = X14
| ~ ssList(X14) ),
inference(resolution,[],[f572,f470]) ).
fof(f1257,plain,
! [X8,X7] :
( ~ ssItem(X7)
| hd(cons(X7,tl(X8))) = X7
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f572,f474]) ).
fof(f1255,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| hd(cons(X3,app(X4,X5))) = X3
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f572,f578]) ).
fof(f1254,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f572,f568]) ).
fof(f1219,plain,
( ! [X5] :
( sK20 = tl(cons(sK29(X5),sK20))
| ~ singletonP(X5)
| ~ ssList(X5) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f480]) ).
fof(f1218,plain,
( ! [X4] :
( sK20 = tl(cons(sK27(X4),sK20))
| nil = X4
| ~ ssList(X4) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f476]) ).
fof(f1217,plain,
( ! [X3] :
( sK20 = tl(cons(sK26(X3),sK20))
| nil = X3
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f471]) ).
fof(f1214,plain,
( ! [X2,X1] :
( sK20 = tl(cons(sK19(X1,X2),sK20))
| ~ sP0(X1,X2) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f383]) ).
fof(f1213,plain,
( ! [X0] :
( sK20 = tl(cons(hd(X0),sK20))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1185,f473]) ).
fof(f1185,plain,
( ! [X9] :
( ~ ssItem(X9)
| sK20 = tl(cons(X9,sK20)) )
| ~ spl72_1 ),
inference(resolution,[],[f571,f618]) ).
fof(f1210,plain,
! [X56,X55] :
( ~ ssItem(X55)
| sK63(X56) = tl(cons(X55,sK63(X56)))
| sP17(X56) ),
inference(resolution,[],[f571,f558]) ).
fof(f1209,plain,
! [X54,X53] :
( ~ ssItem(X53)
| sK62(X54) = tl(cons(X53,sK62(X54)))
| sP17(X54) ),
inference(resolution,[],[f571,f557]) ).
fof(f1208,plain,
! [X51,X52] :
( ~ ssItem(X51)
| sK61(X52) = tl(cons(X51,sK61(X52)))
| sP17(X52) ),
inference(resolution,[],[f571,f556]) ).
fof(f1207,plain,
! [X50,X49] :
( ~ ssItem(X49)
| sK58(X50) = tl(cons(X49,sK58(X50)))
| sP15(X50) ),
inference(resolution,[],[f571,f547]) ).
fof(f1206,plain,
! [X48,X47] :
( ~ ssItem(X47)
| sK57(X48) = tl(cons(X47,sK57(X48)))
| sP15(X48) ),
inference(resolution,[],[f571,f546]) ).
fof(f1205,plain,
! [X46,X45] :
( ~ ssItem(X45)
| sK56(X46) = tl(cons(X45,sK56(X46)))
| sP15(X46) ),
inference(resolution,[],[f571,f545]) ).
fof(f1204,plain,
! [X44,X43] :
( ~ ssItem(X43)
| sK53(X44) = tl(cons(X43,sK53(X44)))
| sP13(X44) ),
inference(resolution,[],[f571,f535]) ).
fof(f1203,plain,
! [X41,X42] :
( ~ ssItem(X41)
| sK52(X42) = tl(cons(X41,sK52(X42)))
| sP13(X42) ),
inference(resolution,[],[f571,f534]) ).
fof(f1202,plain,
! [X40,X39] :
( ~ ssItem(X39)
| sK51(X40) = tl(cons(X39,sK51(X40)))
| sP13(X40) ),
inference(resolution,[],[f571,f533]) ).
fof(f1201,plain,
! [X38,X37] :
( ~ ssItem(X37)
| sK48(X38) = tl(cons(X37,sK48(X38)))
| sP11(X38) ),
inference(resolution,[],[f571,f523]) ).
fof(f1200,plain,
! [X36,X35] :
( ~ ssItem(X35)
| sK47(X36) = tl(cons(X35,sK47(X36)))
| sP11(X36) ),
inference(resolution,[],[f571,f522]) ).
fof(f1199,plain,
! [X34,X33] :
( ~ ssItem(X33)
| sK46(X34) = tl(cons(X33,sK46(X34)))
| sP11(X34) ),
inference(resolution,[],[f571,f521]) ).
fof(f1198,plain,
! [X31,X32] :
( ~ ssItem(X31)
| sK43(X32) = tl(cons(X31,sK43(X32)))
| sP9(X32) ),
inference(resolution,[],[f571,f511]) ).
fof(f1197,plain,
! [X29,X30] :
( ~ ssItem(X29)
| sK42(X30) = tl(cons(X29,sK42(X30)))
| sP9(X30) ),
inference(resolution,[],[f571,f510]) ).
fof(f1196,plain,
! [X28,X27] :
( ~ ssItem(X27)
| sK41(X28) = tl(cons(X27,sK41(X28)))
| sP9(X28) ),
inference(resolution,[],[f571,f509]) ).
fof(f1195,plain,
! [X26,X25] :
( ~ ssItem(X25)
| sK38(X26) = tl(cons(X25,sK38(X26)))
| sP7(X26) ),
inference(resolution,[],[f571,f500]) ).
fof(f1194,plain,
! [X24,X23] :
( ~ ssItem(X23)
| sK37(X24) = tl(cons(X23,sK37(X24)))
| sP7(X24) ),
inference(resolution,[],[f571,f499]) ).
fof(f1193,plain,
! [X21,X22] :
( ~ ssItem(X21)
| sK36(X22) = tl(cons(X21,sK36(X22)))
| sP7(X22) ),
inference(resolution,[],[f571,f498]) ).
fof(f1192,plain,
! [X19,X20] :
( ~ ssItem(X19)
| sK33(X20) = tl(cons(X19,sK33(X20)))
| sP5(X20) ),
inference(resolution,[],[f571,f489]) ).
fof(f1191,plain,
! [X18,X17] :
( ~ ssItem(X17)
| sK32(X18) = tl(cons(X17,sK32(X18)))
| sP5(X18) ),
inference(resolution,[],[f571,f488]) ).
fof(f1190,plain,
! [X16,X15] :
( ~ ssItem(X15)
| sK28(X16) = tl(cons(X15,sK28(X16)))
| nil = X16
| ~ ssList(X16) ),
inference(resolution,[],[f571,f478]) ).
fof(f1189,plain,
! [X14,X13] :
( ~ ssItem(X13)
| sK25(X14) = tl(cons(X13,sK25(X14)))
| nil = X14
| ~ ssList(X14) ),
inference(resolution,[],[f571,f470]) ).
fof(f1184,plain,
! [X8,X7] :
( ~ ssItem(X7)
| tl(X8) = tl(cons(X7,tl(X8)))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f571,f474]) ).
fof(f1182,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| app(X4,X5) = tl(cons(X3,app(X4,X5)))
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f571,f578]) ).
fof(f1181,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f571,f568]) ).
fof(f571,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax25) ).
fof(f481,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK29(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f1157,plain,
! [X26] :
( nil = sK63(X26)
| tl(sK63(X26)) = sK28(sK63(X26))
| sP17(X26) ),
inference(resolution,[],[f479,f558]) ).
fof(f1156,plain,
! [X25] :
( nil = sK62(X25)
| tl(sK62(X25)) = sK28(sK62(X25))
| sP17(X25) ),
inference(resolution,[],[f479,f557]) ).
fof(f1155,plain,
! [X24] :
( nil = sK61(X24)
| tl(sK61(X24)) = sK28(sK61(X24))
| sP17(X24) ),
inference(resolution,[],[f479,f556]) ).
fof(f1154,plain,
! [X23] :
( nil = sK58(X23)
| tl(sK58(X23)) = sK28(sK58(X23))
| sP15(X23) ),
inference(resolution,[],[f479,f547]) ).
fof(f1153,plain,
! [X22] :
( nil = sK57(X22)
| tl(sK57(X22)) = sK28(sK57(X22))
| sP15(X22) ),
inference(resolution,[],[f479,f546]) ).
fof(f1152,plain,
! [X21] :
( nil = sK56(X21)
| tl(sK56(X21)) = sK28(sK56(X21))
| sP15(X21) ),
inference(resolution,[],[f479,f545]) ).
fof(f1151,plain,
! [X20] :
( nil = sK53(X20)
| tl(sK53(X20)) = sK28(sK53(X20))
| sP13(X20) ),
inference(resolution,[],[f479,f535]) ).
fof(f1150,plain,
! [X19] :
( nil = sK52(X19)
| tl(sK52(X19)) = sK28(sK52(X19))
| sP13(X19) ),
inference(resolution,[],[f479,f534]) ).
fof(f1149,plain,
! [X18] :
( nil = sK51(X18)
| tl(sK51(X18)) = sK28(sK51(X18))
| sP13(X18) ),
inference(resolution,[],[f479,f533]) ).
fof(f1148,plain,
! [X17] :
( nil = sK48(X17)
| tl(sK48(X17)) = sK28(sK48(X17))
| sP11(X17) ),
inference(resolution,[],[f479,f523]) ).
fof(f1147,plain,
! [X16] :
( nil = sK47(X16)
| tl(sK47(X16)) = sK28(sK47(X16))
| sP11(X16) ),
inference(resolution,[],[f479,f522]) ).
fof(f1146,plain,
! [X15] :
( nil = sK46(X15)
| tl(sK46(X15)) = sK28(sK46(X15))
| sP11(X15) ),
inference(resolution,[],[f479,f521]) ).
fof(f1145,plain,
! [X14] :
( nil = sK43(X14)
| tl(sK43(X14)) = sK28(sK43(X14))
| sP9(X14) ),
inference(resolution,[],[f479,f511]) ).
fof(f1144,plain,
! [X13] :
( nil = sK42(X13)
| tl(sK42(X13)) = sK28(sK42(X13))
| sP9(X13) ),
inference(resolution,[],[f479,f510]) ).
fof(f1143,plain,
! [X12] :
( nil = sK41(X12)
| tl(sK41(X12)) = sK28(sK41(X12))
| sP9(X12) ),
inference(resolution,[],[f479,f509]) ).
fof(f1142,plain,
! [X11] :
( nil = sK38(X11)
| tl(sK38(X11)) = sK28(sK38(X11))
| sP7(X11) ),
inference(resolution,[],[f479,f500]) ).
fof(f1141,plain,
! [X10] :
( nil = sK37(X10)
| tl(sK37(X10)) = sK28(sK37(X10))
| sP7(X10) ),
inference(resolution,[],[f479,f499]) ).
fof(f1140,plain,
! [X9] :
( nil = sK36(X9)
| tl(sK36(X9)) = sK28(sK36(X9))
| sP7(X9) ),
inference(resolution,[],[f479,f498]) ).
fof(f1139,plain,
! [X8] :
( nil = sK33(X8)
| tl(sK33(X8)) = sK28(sK33(X8))
| sP5(X8) ),
inference(resolution,[],[f479,f489]) ).
fof(f1138,plain,
! [X7] :
( nil = sK32(X7)
| tl(sK32(X7)) = sK28(sK32(X7))
| sP5(X7) ),
inference(resolution,[],[f479,f488]) ).
fof(f1137,plain,
! [X6] :
( nil = sK28(X6)
| tl(sK28(X6)) = sK28(sK28(X6))
| nil = X6
| ~ ssList(X6) ),
inference(resolution,[],[f479,f478]) ).
fof(f1136,plain,
! [X5] :
( nil = sK25(X5)
| tl(sK25(X5)) = sK28(sK25(X5))
| nil = X5
| ~ ssList(X5) ),
inference(resolution,[],[f479,f470]) ).
fof(f1131,plain,
! [X4] :
( nil = tl(X4)
| tl(tl(X4)) = sK28(tl(X4))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f479,f474]) ).
fof(f1129,plain,
! [X2,X3] :
( nil = app(X2,X3)
| tl(app(X2,X3)) = sK28(app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f479,f578]) ).
fof(f1158,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1128,f569]) ).
fof(f1128,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f479,f568]) ).
fof(f479,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK28(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f160,f288]) ).
fof(f288,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax76) ).
fof(f1104,plain,
! [X26] :
( nil = sK63(X26)
| hd(sK63(X26)) = sK27(sK63(X26))
| sP17(X26) ),
inference(resolution,[],[f477,f558]) ).
fof(f1103,plain,
! [X25] :
( nil = sK62(X25)
| hd(sK62(X25)) = sK27(sK62(X25))
| sP17(X25) ),
inference(resolution,[],[f477,f557]) ).
fof(f1102,plain,
! [X24] :
( nil = sK61(X24)
| hd(sK61(X24)) = sK27(sK61(X24))
| sP17(X24) ),
inference(resolution,[],[f477,f556]) ).
fof(f1101,plain,
! [X23] :
( nil = sK58(X23)
| hd(sK58(X23)) = sK27(sK58(X23))
| sP15(X23) ),
inference(resolution,[],[f477,f547]) ).
fof(f1100,plain,
! [X22] :
( nil = sK57(X22)
| hd(sK57(X22)) = sK27(sK57(X22))
| sP15(X22) ),
inference(resolution,[],[f477,f546]) ).
fof(f1099,plain,
! [X21] :
( nil = sK56(X21)
| hd(sK56(X21)) = sK27(sK56(X21))
| sP15(X21) ),
inference(resolution,[],[f477,f545]) ).
fof(f1098,plain,
! [X20] :
( nil = sK53(X20)
| hd(sK53(X20)) = sK27(sK53(X20))
| sP13(X20) ),
inference(resolution,[],[f477,f535]) ).
fof(f1097,plain,
! [X19] :
( nil = sK52(X19)
| hd(sK52(X19)) = sK27(sK52(X19))
| sP13(X19) ),
inference(resolution,[],[f477,f534]) ).
fof(f1096,plain,
! [X18] :
( nil = sK51(X18)
| hd(sK51(X18)) = sK27(sK51(X18))
| sP13(X18) ),
inference(resolution,[],[f477,f533]) ).
fof(f1095,plain,
! [X17] :
( nil = sK48(X17)
| hd(sK48(X17)) = sK27(sK48(X17))
| sP11(X17) ),
inference(resolution,[],[f477,f523]) ).
fof(f1094,plain,
! [X16] :
( nil = sK47(X16)
| hd(sK47(X16)) = sK27(sK47(X16))
| sP11(X16) ),
inference(resolution,[],[f477,f522]) ).
fof(f1093,plain,
! [X15] :
( nil = sK46(X15)
| hd(sK46(X15)) = sK27(sK46(X15))
| sP11(X15) ),
inference(resolution,[],[f477,f521]) ).
fof(f1092,plain,
! [X14] :
( nil = sK43(X14)
| hd(sK43(X14)) = sK27(sK43(X14))
| sP9(X14) ),
inference(resolution,[],[f477,f511]) ).
fof(f1091,plain,
! [X13] :
( nil = sK42(X13)
| hd(sK42(X13)) = sK27(sK42(X13))
| sP9(X13) ),
inference(resolution,[],[f477,f510]) ).
fof(f1090,plain,
! [X12] :
( nil = sK41(X12)
| hd(sK41(X12)) = sK27(sK41(X12))
| sP9(X12) ),
inference(resolution,[],[f477,f509]) ).
fof(f1089,plain,
! [X11] :
( nil = sK38(X11)
| hd(sK38(X11)) = sK27(sK38(X11))
| sP7(X11) ),
inference(resolution,[],[f477,f500]) ).
fof(f1088,plain,
! [X10] :
( nil = sK37(X10)
| hd(sK37(X10)) = sK27(sK37(X10))
| sP7(X10) ),
inference(resolution,[],[f477,f499]) ).
fof(f1087,plain,
! [X9] :
( nil = sK36(X9)
| hd(sK36(X9)) = sK27(sK36(X9))
| sP7(X9) ),
inference(resolution,[],[f477,f498]) ).
fof(f1086,plain,
! [X8] :
( nil = sK33(X8)
| hd(sK33(X8)) = sK27(sK33(X8))
| sP5(X8) ),
inference(resolution,[],[f477,f489]) ).
fof(f1085,plain,
! [X7] :
( nil = sK32(X7)
| hd(sK32(X7)) = sK27(sK32(X7))
| sP5(X7) ),
inference(resolution,[],[f477,f488]) ).
fof(f1084,plain,
! [X6] :
( nil = sK28(X6)
| hd(sK28(X6)) = sK27(sK28(X6))
| nil = X6
| ~ ssList(X6) ),
inference(resolution,[],[f477,f478]) ).
fof(f1083,plain,
! [X5] :
( nil = sK25(X5)
| hd(sK25(X5)) = sK27(sK25(X5))
| nil = X5
| ~ ssList(X5) ),
inference(resolution,[],[f477,f470]) ).
fof(f1078,plain,
! [X4] :
( nil = tl(X4)
| hd(tl(X4)) = sK27(tl(X4))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f477,f474]) ).
fof(f1076,plain,
! [X2,X3] :
( nil = app(X2,X3)
| hd(app(X2,X3)) = sK27(app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f477,f578]) ).
fof(f1105,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1075,f569]) ).
fof(f1075,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f477,f568]) ).
fof(f477,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK27(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f158,f286]) ).
fof(f286,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax75) ).
fof(f1074,plain,
! [X6,X5] :
( nil = X5
| ~ sP3(X5,X6)
| ~ lt(hd(X5),X6)
| ~ ssItem(X6)
| ~ ssItem(hd(X5)) ),
inference(resolution,[],[f455,f420]) ).
fof(f1073,plain,
! [X3,X4] :
( nil = X3
| ~ sP3(X3,X4)
| hd(X3) != X4
| ~ ssItem(hd(X3))
| ~ ssItem(X4) ),
inference(resolution,[],[f455,f429]) ).
fof(f1072,plain,
! [X2,X1] :
( nil = X1
| ~ sP3(X1,X2)
| leq(X2,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X2) ),
inference(resolution,[],[f455,f430]) ).
fof(f1071,plain,
! [X0] :
( nil = X0
| ~ sP3(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f455,f408]) ).
fof(f455,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f279]) ).
fof(f279,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f278]) ).
fof(f278,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f452,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0) )
& ( sP3(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP3(X1,X0) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1046,plain,
! [X0] :
( ~ sP4(X0,nil)
| sP3(nil,X0)
| ~ ssItem(X0) ),
inference(resolution,[],[f451,f416]) ).
fof(f451,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f447,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1021,plain,
! [X0] :
( ~ sP2(X0,nil)
| sP1(nil,X0)
| ~ ssItem(X0) ),
inference(resolution,[],[f443,f417]) ).
fof(f444,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f443,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f430,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax93) ).
fof(f429,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| X0 != X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f428,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax32) ).
fof(f427,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1015,plain,
! [X2,X3] :
( ~ lt(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X2,X3) ),
inference(duplicate_literal_removal,[],[f1014]) ).
fof(f1014,plain,
! [X2,X3] :
( ~ lt(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(resolution,[],[f426,f418]) ).
fof(f426,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax35) ).
fof(f868,plain,
! [X0] :
( duplicatefreeP(X0)
| sK34(X0) = sK35(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f502,f760]) ).
fof(f425,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1012,plain,
! [X0] :
( sK63(X0) = app(nil,sK63(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f853,f770]) ).
fof(f853,plain,
! [X19] :
( sP17(X19)
| sK63(X19) = app(nil,sK63(X19)) ),
inference(resolution,[],[f469,f558]) ).
fof(f1011,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f852,f770]) ).
fof(f852,plain,
! [X18] :
( sP17(X18)
| sK62(X18) = app(nil,sK62(X18)) ),
inference(resolution,[],[f469,f557]) ).
fof(f1010,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f851,f770]) ).
fof(f851,plain,
! [X17] :
( sP17(X17)
| sK61(X17) = app(nil,sK61(X17)) ),
inference(resolution,[],[f469,f556]) ).
fof(f1009,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f850,f768]) ).
fof(f850,plain,
! [X16] :
( sP15(X16)
| sK58(X16) = app(nil,sK58(X16)) ),
inference(resolution,[],[f469,f547]) ).
fof(f1008,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f849,f768]) ).
fof(f849,plain,
! [X15] :
( sP15(X15)
| sK57(X15) = app(nil,sK57(X15)) ),
inference(resolution,[],[f469,f546]) ).
fof(f1007,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f848,f768]) ).
fof(f848,plain,
! [X14] :
( sP15(X14)
| sK56(X14) = app(nil,sK56(X14)) ),
inference(resolution,[],[f469,f545]) ).
fof(f1006,plain,
! [X0] :
( sK53(X0) = app(nil,sK53(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f847,f766]) ).
fof(f847,plain,
! [X13] :
( sP13(X13)
| sK53(X13) = app(nil,sK53(X13)) ),
inference(resolution,[],[f469,f535]) ).
fof(f1005,plain,
! [X0] :
( sK52(X0) = app(nil,sK52(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f846,f766]) ).
fof(f846,plain,
! [X12] :
( sP13(X12)
| sK52(X12) = app(nil,sK52(X12)) ),
inference(resolution,[],[f469,f534]) ).
fof(f1004,plain,
! [X0] :
( sK51(X0) = app(nil,sK51(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f845,f766]) ).
fof(f845,plain,
! [X11] :
( sP13(X11)
| sK51(X11) = app(nil,sK51(X11)) ),
inference(resolution,[],[f469,f533]) ).
fof(f1003,plain,
! [X0] :
( sK48(X0) = app(nil,sK48(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f844,f764]) ).
fof(f844,plain,
! [X10] :
( sP11(X10)
| sK48(X10) = app(nil,sK48(X10)) ),
inference(resolution,[],[f469,f523]) ).
fof(f1002,plain,
! [X0] :
( sK47(X0) = app(nil,sK47(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f843,f764]) ).
fof(f843,plain,
! [X9] :
( sP11(X9)
| sK47(X9) = app(nil,sK47(X9)) ),
inference(resolution,[],[f469,f522]) ).
fof(f424,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax1) ).
fof(f999,plain,
! [X0] :
( sK46(X0) = app(nil,sK46(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f842,f764]) ).
fof(f842,plain,
! [X8] :
( sP11(X8)
| sK46(X8) = app(nil,sK46(X8)) ),
inference(resolution,[],[f469,f521]) ).
fof(f998,plain,
! [X0] :
( sK43(X0) = app(nil,sK43(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f841,f762]) ).
fof(f841,plain,
! [X7] :
( sP9(X7)
| sK43(X7) = app(nil,sK43(X7)) ),
inference(resolution,[],[f469,f511]) ).
fof(f997,plain,
! [X0] :
( sK42(X0) = app(nil,sK42(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f840,f762]) ).
fof(f840,plain,
! [X6] :
( sP9(X6)
| sK42(X6) = app(nil,sK42(X6)) ),
inference(resolution,[],[f469,f510]) ).
fof(f996,plain,
! [X0] :
( sK41(X0) = app(nil,sK41(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f839,f762]) ).
fof(f839,plain,
! [X5] :
( sP9(X5)
| sK41(X5) = app(nil,sK41(X5)) ),
inference(resolution,[],[f469,f509]) ).
fof(f995,plain,
! [X0] :
( sK38(X0) = app(nil,sK38(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f838,f760]) ).
fof(f838,plain,
! [X4] :
( sP7(X4)
| sK38(X4) = app(nil,sK38(X4)) ),
inference(resolution,[],[f469,f500]) ).
fof(f994,plain,
! [X0] :
( sK37(X0) = app(nil,sK37(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f837,f760]) ).
fof(f837,plain,
! [X3] :
( sP7(X3)
| sK37(X3) = app(nil,sK37(X3)) ),
inference(resolution,[],[f469,f499]) ).
fof(f993,plain,
! [X0] :
( sK36(X0) = app(nil,sK36(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f836,f760]) ).
fof(f836,plain,
! [X2] :
( sP7(X2)
| sK36(X2) = app(nil,sK36(X2)) ),
inference(resolution,[],[f469,f498]) ).
fof(f992,plain,
! [X0] :
( sK33(X0) = app(nil,sK33(X0))
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f835,f758]) ).
fof(f835,plain,
! [X1] :
( sP5(X1)
| sK33(X1) = app(nil,sK33(X1)) ),
inference(resolution,[],[f469,f489]) ).
fof(f991,plain,
! [X0] :
( sK32(X0) = app(nil,sK32(X0))
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f834,f758]) ).
fof(f834,plain,
! [X0] :
( sP5(X0)
| sK32(X0) = app(nil,sK32(X0)) ),
inference(resolution,[],[f469,f488]) ).
fof(f990,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f809,f770]) ).
fof(f809,plain,
! [X19] :
( sP17(X19)
| sK63(X19) = app(sK63(X19),nil) ),
inference(resolution,[],[f468,f558]) ).
fof(f989,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f808,f770]) ).
fof(f808,plain,
! [X18] :
( sP17(X18)
| sK62(X18) = app(sK62(X18),nil) ),
inference(resolution,[],[f468,f557]) ).
fof(f423,plain,
! [X0,X1] :
( ~ neq(X0,X1)
| X0 != X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f988,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f807,f770]) ).
fof(f807,plain,
! [X17] :
( sP17(X17)
| sK61(X17) = app(sK61(X17),nil) ),
inference(resolution,[],[f468,f556]) ).
fof(f987,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f806,f768]) ).
fof(f806,plain,
! [X16] :
( sP15(X16)
| sK58(X16) = app(sK58(X16),nil) ),
inference(resolution,[],[f468,f547]) ).
fof(f986,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f805,f768]) ).
fof(f805,plain,
! [X15] :
( sP15(X15)
| sK57(X15) = app(sK57(X15),nil) ),
inference(resolution,[],[f468,f546]) ).
fof(f985,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f804,f768]) ).
fof(f804,plain,
! [X14] :
( sP15(X14)
| sK56(X14) = app(sK56(X14),nil) ),
inference(resolution,[],[f468,f545]) ).
fof(f984,plain,
! [X0] :
( sK53(X0) = app(sK53(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f803,f766]) ).
fof(f803,plain,
! [X13] :
( sP13(X13)
| sK53(X13) = app(sK53(X13),nil) ),
inference(resolution,[],[f468,f535]) ).
fof(f983,plain,
! [X0] :
( sK52(X0) = app(sK52(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f802,f766]) ).
fof(f802,plain,
! [X12] :
( sP13(X12)
| sK52(X12) = app(sK52(X12),nil) ),
inference(resolution,[],[f468,f534]) ).
fof(f982,plain,
! [X0] :
( sK51(X0) = app(sK51(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f801,f766]) ).
fof(f801,plain,
! [X11] :
( sP13(X11)
| sK51(X11) = app(sK51(X11),nil) ),
inference(resolution,[],[f468,f533]) ).
fof(f981,plain,
! [X0] :
( sK48(X0) = app(sK48(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f800,f764]) ).
fof(f800,plain,
! [X10] :
( sP11(X10)
| sK48(X10) = app(sK48(X10),nil) ),
inference(resolution,[],[f468,f523]) ).
fof(f420,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax33) ).
fof(f418,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax94) ).
fof(f384,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK19(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ leq(X3,sK19(X0,X1))
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f254,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X3,X2)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
=> ( ! [X3] :
( ~ leq(X3,sK19(X0,X1))
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X3,X2)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f916,plain,
! [X0] :
( sK47(X0) = app(sK47(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f799,f764]) ).
fof(f799,plain,
! [X9] :
( sP11(X9)
| sK47(X9) = app(sK47(X9),nil) ),
inference(resolution,[],[f468,f522]) ).
fof(f915,plain,
! [X0] :
( sK46(X0) = app(sK46(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f798,f764]) ).
fof(f798,plain,
! [X8] :
( sP11(X8)
| sK46(X8) = app(sK46(X8),nil) ),
inference(resolution,[],[f468,f521]) ).
fof(f914,plain,
! [X0] :
( sK43(X0) = app(sK43(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f797,f762]) ).
fof(f797,plain,
! [X7] :
( sP9(X7)
| sK43(X7) = app(sK43(X7),nil) ),
inference(resolution,[],[f468,f511]) ).
fof(f913,plain,
! [X0] :
( sK42(X0) = app(sK42(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f796,f762]) ).
fof(f796,plain,
! [X6] :
( sP9(X6)
| sK42(X6) = app(sK42(X6),nil) ),
inference(resolution,[],[f468,f510]) ).
fof(f912,plain,
! [X0] :
( sK41(X0) = app(sK41(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f795,f762]) ).
fof(f795,plain,
! [X5] :
( sP9(X5)
| sK41(X5) = app(sK41(X5),nil) ),
inference(resolution,[],[f468,f509]) ).
fof(f911,plain,
! [X0] :
( sK38(X0) = app(sK38(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f794,f760]) ).
fof(f794,plain,
! [X4] :
( sP7(X4)
| sK38(X4) = app(sK38(X4),nil) ),
inference(resolution,[],[f468,f500]) ).
fof(f910,plain,
! [X0] :
( sK37(X0) = app(sK37(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f793,f760]) ).
fof(f793,plain,
! [X3] :
( sP7(X3)
| sK37(X3) = app(sK37(X3),nil) ),
inference(resolution,[],[f468,f499]) ).
fof(f909,plain,
! [X0] :
( sK36(X0) = app(sK36(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f792,f760]) ).
fof(f792,plain,
! [X2] :
( sP7(X2)
| sK36(X2) = app(sK36(X2),nil) ),
inference(resolution,[],[f468,f498]) ).
fof(f908,plain,
! [X0] :
( sK33(X0) = app(sK33(X0),nil)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f791,f758]) ).
fof(f791,plain,
! [X1] :
( sP5(X1)
| sK33(X1) = app(sK33(X1),nil) ),
inference(resolution,[],[f468,f489]) ).
fof(f907,plain,
! [X0] :
( sK32(X0) = app(sK32(X0),nil)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f790,f758]) ).
fof(f790,plain,
! [X0] :
( sP5(X0)
| sK32(X0) = app(sK32(X0),nil) ),
inference(resolution,[],[f468,f488]) ).
fof(f570,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax18) ).
fof(f569,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax21) ).
fof(f900,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) = app(app(X3,X2),nil) ),
inference(resolution,[],[f578,f468]) ).
fof(f899,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f578,f469]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax26) ).
fof(f898,plain,
! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| cons(X2,X3) = app(cons(X2,X3),nil) ),
inference(resolution,[],[f568,f468]) ).
fof(f897,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f568,f469]) ).
fof(f568,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax16) ).
fof(f567,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax46) ).
fof(f566,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f565,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax52) ).
fof(f564,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f563,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax58) ).
fof(f562,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f878,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| sK28(X1) = app(sK28(X1),nil) ),
inference(resolution,[],[f478,f468]) ).
fof(f877,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(nil,sK28(X0)) ),
inference(resolution,[],[f478,f469]) ).
fof(f478,plain,
! [X0] :
( ssList(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f476,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f876,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| tl(X1) = app(tl(X1),nil) ),
inference(resolution,[],[f474,f468]) ).
fof(f875,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f474,f469]) ).
fof(f474,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax24) ).
fof(f473,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax22) ).
fof(f471,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f874,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| sK25(X1) = app(sK25(X1),nil) ),
inference(resolution,[],[f470,f468]) ).
fof(f873,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f470,f469]) ).
fof(f470,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f454,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f446,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f870,plain,
! [X0] : ~ sP0(nil,X0),
inference(subsumption_resolution,[],[f869,f383]) ).
fof(f869,plain,
! [X0] :
( ~ sP0(nil,X0)
| ~ ssItem(sK19(nil,X0)) ),
inference(resolution,[],[f385,f407]) ).
fof(f385,plain,
! [X0,X1] :
( memberP(X0,sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f560,plain,
! [X0] :
( ~ lt(sK59(X0),sK60(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ( sP17(X0)
| ( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0
& ssList(sK63(X0))
& ssList(sK62(X0))
& ssList(sK61(X0))
& ssItem(sK60(X0))
& ssItem(sK59(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP17(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62,sK63])],[f349,f354,f353,f352,f351,f350]) ).
fof(f350,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),X2)
& app(app(X3,cons(sK59(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),X2)
& app(app(X3,cons(sK59(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(X3,cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(X3,cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0
& ssList(sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ( sP17(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP17(X0) ) ),
inference(rectify,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( sP17(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP17(X0) ) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP17(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f549,plain,
! [X0] :
( ~ leq(sK54(X0),sK55(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( sP15(X0)
| ( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0
& ssList(sK58(X0))
& ssList(sK57(X0))
& ssList(sK56(X0))
& ssItem(sK55(X0))
& ssItem(sK54(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP15(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57,sK58])],[f340,f345,f344,f343,f342,f341]) ).
fof(f341,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),X2)
& app(app(X3,cons(sK54(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),X2)
& app(app(X3,cons(sK54(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(X3,cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(X3,cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0
& ssList(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ( sP15(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP15(X0) ) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP15(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP15(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP15(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f538,plain,
! [X0] :
( leq(sK50(X0),sK49(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ( sP13(X0)
| ( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0
& ssList(sK53(X0))
& ssList(sK52(X0))
& ssList(sK51(X0))
& ssItem(sK50(X0))
& ssItem(sK49(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP13(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52,sK53])],[f331,f336,f335,f334,f333,f332]) ).
fof(f332,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK49(X0))
& leq(sK49(X0),X2)
& app(app(X3,cons(sK49(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK49(X0))
& leq(sK49(X0),X2)
& app(app(X3,cons(sK49(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(X3,cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(X3,cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0
& ssList(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ( sP13(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP13(X0) ) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP13(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP13(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP13(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f537,plain,
! [X0] :
( leq(sK49(X0),sK50(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f526,plain,
! [X0] :
( ~ lt(sK45(X0),sK44(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP11(X0)
| ( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0))
& ssList(sK47(X0))
& ssList(sK46(X0))
& ssItem(sK45(X0))
& ssItem(sK44(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP11(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48])],[f322,f327,f326,f325,f324,f323]) ).
fof(f323,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK44(X0))
& ~ lt(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK44(X0))
& ~ lt(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ( sP11(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP11(X0) ) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP11(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP11(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP11(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f525,plain,
! [X0] :
( ~ lt(sK44(X0),sK45(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f514,plain,
! [X0] :
( ~ leq(sK40(X0),sK39(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( sP9(X0)
| ( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssList(sK41(X0))
& ssItem(sK40(X0))
& ssItem(sK39(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP9(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43])],[f313,f318,f317,f316,f315,f314]) ).
fof(f314,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK39(X0))
& ~ leq(sK39(X0),X2)
& app(app(X3,cons(sK39(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK39(X0))
& ~ leq(sK39(X0),X2)
& app(app(X3,cons(sK39(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(X3,cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(X3,cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ( sP9(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP9(X0) ) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP9(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP9(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP9(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f513,plain,
! [X0] :
( ~ leq(sK39(X0),sK40(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f502,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = sK35(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( sP7(X0)
| ( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0
& ssList(sK38(X0))
& ssList(sK37(X0))
& ssList(sK36(X0))
& ssItem(sK35(X0))
& ssItem(sK34(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP7(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f304,f309,f308,f307,f306,f305]) ).
fof(f305,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = X2
& app(app(X3,cons(sK34(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = X2
& app(app(X3,cons(sK34(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(X3,cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(X3,cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),X5)) = X0
& ssList(X5) )
=> ( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ( sP7(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP7(X0) ) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP7(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP7(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP7(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f491,plain,
! [X0] :
( sK30(X0) != sK31(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( sP5(X0)
| ( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0
& ssList(sK33(X0))
& ssList(sK32(X0))
& ssItem(sK31(X0))
& ssItem(sK30(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f296,f300,f299,f298,f297]) ).
fof(f297,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != X2
& app(X3,cons(sK30(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != X2
& app(X3,cons(sK30(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(X3,cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(X3,cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
=> ( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP5(X0) ) ),
inference(rectify,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( sP5(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP5(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP5(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f480,plain,
! [X0] :
( ssItem(sK29(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f830,plain,
( sK20 = app(nil,sK20)
| ~ spl72_1 ),
inference(resolution,[],[f469,f618]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax28) ).
fof(f786,plain,
( sK20 = app(sK20,nil)
| ~ spl72_1 ),
inference(resolution,[],[f468,f618]) ).
fof(f468,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax84) ).
fof(f458,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f139,f230,f229]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax70) ).
fof(f770,plain,
! [X0] :
( ~ sP17(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f552,f561]) ).
fof(f450,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f227,f226]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax67) ).
fof(f769,plain,
! [X0] :
( sP17(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f551,f561]) ).
fof(f768,plain,
! [X0] :
( ~ sP15(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f541,f550]) ).
fof(f767,plain,
! [X0] :
( sP15(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f540,f550]) ).
fof(f766,plain,
! [X0] :
( ~ sP13(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f529,f539]) ).
fof(f765,plain,
! [X0] :
( sP13(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f528,f539]) ).
fof(f764,plain,
! [X0] :
( ~ sP11(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f517,f527]) ).
fof(f763,plain,
! [X0] :
( sP11(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f516,f527]) ).
fof(f762,plain,
! [X0] :
( ~ sP9(X0)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f505,f515]) ).
fof(f761,plain,
! [X0] :
( sP9(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f504,f515]) ).
fof(f760,plain,
! [X0] :
( ~ sP7(X0)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f494,f503]) ).
fof(f759,plain,
! [X0] :
( sP7(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f493,f503]) ).
fof(f383,plain,
! [X0,X1] :
( ssItem(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f758,plain,
! [X0] :
( ~ sP5(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f484,f492]) ).
fof(f757,plain,
! [X0] :
( sP5(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f483,f492]) ).
fof(f552,plain,
! [X0] :
( ~ sP18(X0)
| ~ sP17(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP17(X0) )
& ( sP17(X0)
| ~ strictorderedP(X0) ) )
| ~ sP18(X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP17(X0) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f551,plain,
! [X0] :
( ~ sP18(X0)
| ~ strictorderedP(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f541,plain,
! [X0] :
( ~ sP16(X0)
| ~ sP15(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP15(X0) )
& ( sP15(X0)
| ~ totalorderedP(X0) ) )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP15(X0) )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f540,plain,
! [X0] :
( ~ sP16(X0)
| ~ totalorderedP(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f529,plain,
! [X0] :
( ~ sP14(X0)
| ~ sP13(X0)
| cyclefreeP(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP13(X0) )
& ( sP13(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP13(X0) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f528,plain,
! [X0] :
( ~ sP14(X0)
| ~ cyclefreeP(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f517,plain,
! [X0] :
( ~ sP12(X0)
| ~ sP11(X0)
| strictorderP(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP11(X0) )
& ( sP11(X0)
| ~ strictorderP(X0) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP11(X0) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f516,plain,
! [X0] :
( ~ sP12(X0)
| ~ strictorderP(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f505,plain,
! [X0] :
( ~ sP10(X0)
| ~ sP9(X0)
| totalorderP(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP9(X0) )
& ( sP9(X0)
| ~ totalorderP(X0) ) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP9(X0) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f504,plain,
! [X0] :
( ~ sP10(X0)
| ~ totalorderP(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f494,plain,
! [X0] :
( ~ sP8(X0)
| ~ sP7(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP7(X0) )
& ( sP7(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP7(X0) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f493,plain,
! [X0] :
( ~ sP8(X0)
| ~ duplicatefreeP(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f484,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP5(X0)
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP5(X0) )
& ( sP5(X0)
| ~ equalelemsP(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP5(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f483,plain,
! [X0] :
( ~ sP6(X0)
| ~ equalelemsP(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f456,plain,
! [X0,X1] :
( sP3(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f448,plain,
! [X0,X1] :
( sP1(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f417,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax65) ).
fof(f416,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax68) ).
fof(f415,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax63) ).
fof(f414,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax61) ).
fof(f413,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax59) ).
fof(f412,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax71) ).
fof(f411,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax73) ).
fof(f558,plain,
! [X0] :
( ssList(sK63(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f557,plain,
! [X0] :
( ssList(sK62(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f556,plain,
! [X0] :
( ssList(sK61(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f555,plain,
! [X0] :
( ssItem(sK60(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f554,plain,
! [X0] :
( ssItem(sK59(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f547,plain,
! [X0] :
( ssList(sK58(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( ssList(sK57(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f545,plain,
! [X0] :
( ssList(sK56(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f544,plain,
! [X0] :
( ssItem(sK55(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f543,plain,
! [X0] :
( ssItem(sK54(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f535,plain,
! [X0] :
( ssList(sK53(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
! [X0] :
( ssList(sK52(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f533,plain,
! [X0] :
( ssList(sK51(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f532,plain,
! [X0] :
( ssItem(sK50(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f531,plain,
! [X0] :
( ssItem(sK49(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f523,plain,
! [X0] :
( ssList(sK48(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f522,plain,
! [X0] :
( ssList(sK47(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f521,plain,
! [X0] :
( ssList(sK46(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f520,plain,
! [X0] :
( ssItem(sK45(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f519,plain,
! [X0] :
( ssItem(sK44(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f511,plain,
! [X0] :
( ssList(sK43(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f510,plain,
! [X0] :
( ssList(sK42(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f509,plain,
! [X0] :
( ssList(sK41(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X0] :
( ssItem(sK40(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f507,plain,
! [X0] :
( ssItem(sK39(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f500,plain,
! [X0] :
( ssList(sK38(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( ssList(sK37(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0] :
( ssList(sK36(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f497,plain,
! [X0] :
( ssItem(sK35(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f496,plain,
! [X0] :
( ssItem(sK34(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f489,plain,
! [X0] :
( ssList(sK33(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( ssList(sK32(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK31(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f486,plain,
! [X0] :
( ssItem(sK30(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f467,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax49) ).
fof(f466,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax55) ).
fof(f465,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax45) ).
fof(f464,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax42) ).
fof(f463,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax51) ).
fof(f462,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax57) ).
fof(f410,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax31) ).
fof(f409,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax89) ).
fof(f408,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax90) ).
fof(f561,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f175,f251,f250]) ).
fof(f175,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax12) ).
fof(f550,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f173,f248,f247]) ).
fof(f173,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax11) ).
fof(f539,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f171,f245,f244]) ).
fof(f171,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax8) ).
fof(f527,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f169,f242,f241]) ).
fof(f169,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax10) ).
fof(f515,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f167,f239,f238]) ).
fof(f167,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax9) ).
fof(f503,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f165,f236,f235]) ).
fof(f165,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax13) ).
fof(f492,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f163,f233,f232]) ).
fof(f163,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax14) ).
fof(f614,plain,
sK70 != sK71,
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
( sK70 != sK71
& ssItem(sK71)
& ssItem(sK70) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f2,f381,f380]) ).
fof(f380,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK70 != X1
& ssItem(X1) )
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f381,plain,
( ? [X1] :
( sK70 != X1
& ssItem(X1) )
=> ( sK70 != sK71
& ssItem(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax2) ).
fof(f395,plain,
~ memberP(sK21,sK24),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ~ memberP(sK21,sK24)
& memberP(sK20,sK24)
& ssItem(sK24)
& sK20 = sK22
& sK21 = sK23
& ssList(sK23)
& ssList(sK22)
& ssList(sK21)
& ssList(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24])],[f257,f262,f261,f260,f259,f258]) ).
fof(f258,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
=> ( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
& sK20 = sK22
& sK21 = sK23
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X4] :
( ~ memberP(sK21,X4)
& memberP(sK20,X4)
& ssItem(X4) )
=> ( ~ memberP(sK21,sK24)
& memberP(sK20,sK24)
& ssItem(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f100,f224]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X0,X6) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',co1) ).
fof(f394,plain,
memberP(sK20,sK24),
inference(cnf_transformation,[],[f263]) ).
fof(f392,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f263]) ).
fof(f391,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f263]) ).
fof(f613,plain,
ssItem(sK71),
inference(cnf_transformation,[],[f382]) ).
fof(f612,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f382]) ).
fof(f406,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax17) ).
fof(f405,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax66) ).
fof(f404,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax69) ).
fof(f403,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax62) ).
fof(f402,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax64) ).
fof(f401,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax60) ).
fof(f400,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax72) ).
fof(f399,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax74) ).
fof(f398,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax39) ).
fof(f393,plain,
ssItem(sK24),
inference(cnf_transformation,[],[f263]) ).
fof(f390,plain,
ssList(sK23),
inference(cnf_transformation,[],[f263]) ).
fof(f389,plain,
ssList(sK22),
inference(cnf_transformation,[],[f263]) ).
fof(f388,plain,
ssList(sK21),
inference(cnf_transformation,[],[f263]) ).
fof(f387,plain,
ssList(sK20),
inference(cnf_transformation,[],[f263]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax56) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax40) ).
fof(f609,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax47) ).
fof(f608,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax53) ).
fof(f607,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax80) ).
fof(f606,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax79) ).
fof(f605,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax43) ).
fof(f603,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax82) ).
fof(f601,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax19) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f600,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax27) ).
fof(f599,plain,
! [X0,X1] :
( nil != X1
| nil != X0
| nil = app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f595,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK69(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f596,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f592,plain,
! [X0,X1] :
( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f593,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f588,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK66(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f581,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax77) ).
fof(f580,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax86) ).
fof(f579,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax85) ).
fof(f576,plain,
! [X0,X1] :
( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f577,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f553,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f559,plain,
! [X0] :
( sP17(X0)
| app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0 ),
inference(cnf_transformation,[],[f355]) ).
fof(f542,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f548,plain,
! [X0] :
( sP15(X0)
| app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0 ),
inference(cnf_transformation,[],[f346]) ).
fof(f530,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0] :
( sP13(X0)
| app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0 ),
inference(cnf_transformation,[],[f337]) ).
fof(f518,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f524,plain,
! [X0] :
( sP11(X0)
| app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f506,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f512,plain,
! [X0] :
( sP9(X0)
| app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f495,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0] :
( sP7(X0)
| app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f485,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f490,plain,
! [X0] :
( sP5(X0)
| app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f459,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax36) ).
fof(f460,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f461,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f457,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f449,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax44) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( frontsegP(X2,X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f439,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax34) ).
fof(f435,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax91) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax30) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| geq(X0,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax88) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.psbWQNHLHG/Vampire---4.8_20902',ax95) ).
fof(f431,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f396,plain,
( nil = sK23
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f263]) ).
fof(f397,plain,
( nil = sK22
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f263]) ).
fof(f386,plain,
! [X3,X0,X1] :
( ~ leq(X3,sK19(X0,X1))
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f3290,plain,
( spl72_181
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3285,f2752,f2718,f2672,f1756,f616,f3287]) ).
fof(f3287,plain,
( spl72_181
<=> hd(sK20) = sK27(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_181])]) ).
fof(f2752,plain,
( spl72_147
<=> hd(sK20) = hd(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_147])]) ).
fof(f3285,plain,
( hd(sK20) = sK27(app(sK20,sK20))
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142
| ~ spl72_143
| ~ spl72_147 ),
inference(forward_demodulation,[],[f2733,f2754]) ).
fof(f2754,plain,
( hd(sK20) = hd(app(sK20,sK20))
| ~ spl72_147 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f3284,plain,
( spl72_180
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f2723,f2718,f3281]) ).
fof(f3281,plain,
( spl72_180
<=> app(sK20,sK20) = app(nil,app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_180])]) ).
fof(f3279,plain,
( spl72_179
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f2722,f2718,f3276]) ).
fof(f3276,plain,
( spl72_179
<=> app(sK20,sK20) = app(app(sK20,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_179])]) ).
fof(f3182,plain,
( spl72_178
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f2985,f2964,f3179]) ).
fof(f3179,plain,
( spl72_178
<=> cons(sK71,sK20) = app(nil,cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_178])]) ).
fof(f2985,plain,
( cons(sK71,sK20) = app(nil,cons(sK71,sK20))
| ~ spl72_161 ),
inference(resolution,[],[f2966,f469]) ).
fof(f3177,plain,
( spl72_177
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f2984,f2964,f3174]) ).
fof(f3174,plain,
( spl72_177
<=> cons(sK71,sK20) = app(cons(sK71,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_177])]) ).
fof(f2984,plain,
( cons(sK71,sK20) = app(cons(sK71,sK20),nil)
| ~ spl72_161 ),
inference(resolution,[],[f2966,f468]) ).
fof(f3133,plain,
( spl72_176
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f2973,f2960,f3130]) ).
fof(f3130,plain,
( spl72_176
<=> cons(sK71,nil) = app(nil,cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_176])]) ).
fof(f2973,plain,
( cons(sK71,nil) = app(nil,cons(sK71,nil))
| ~ spl72_160 ),
inference(resolution,[],[f2961,f469]) ).
fof(f3128,plain,
( spl72_175
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f2972,f2960,f3125]) ).
fof(f3125,plain,
( spl72_175
<=> cons(sK71,nil) = app(cons(sK71,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_175])]) ).
fof(f2972,plain,
( cons(sK71,nil) = app(cons(sK71,nil),nil)
| ~ spl72_160 ),
inference(resolution,[],[f2961,f468]) ).
fof(f3123,plain,
( spl72_174
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f2922,f2887,f3120]) ).
fof(f3120,plain,
( spl72_174
<=> cons(sK70,sK20) = app(nil,cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_174])]) ).
fof(f2922,plain,
( cons(sK70,sK20) = app(nil,cons(sK70,sK20))
| ~ spl72_157 ),
inference(resolution,[],[f2889,f469]) ).
fof(f3118,plain,
( spl72_173
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f2921,f2887,f3115]) ).
fof(f3115,plain,
( spl72_173
<=> cons(sK70,sK20) = app(cons(sK70,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_173])]) ).
fof(f2921,plain,
( cons(sK70,sK20) = app(cons(sK70,sK20),nil)
| ~ spl72_157 ),
inference(resolution,[],[f2889,f468]) ).
fof(f3113,plain,
( spl72_172
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f2896,f2883,f3110]) ).
fof(f3110,plain,
( spl72_172
<=> cons(sK70,nil) = app(nil,cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_172])]) ).
fof(f2896,plain,
( cons(sK70,nil) = app(nil,cons(sK70,nil))
| ~ spl72_156 ),
inference(resolution,[],[f2884,f469]) ).
fof(f3108,plain,
( spl72_171
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f2895,f2883,f3105]) ).
fof(f3105,plain,
( spl72_171
<=> cons(sK70,nil) = app(cons(sK70,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_171])]) ).
fof(f2895,plain,
( cons(sK70,nil) = app(cons(sK70,nil),nil)
| ~ spl72_156 ),
inference(resolution,[],[f2884,f468]) ).
fof(f3103,plain,
( spl72_170
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f2847,f2815,f3100]) ).
fof(f3100,plain,
( spl72_170
<=> cons(sK24,sK20) = app(nil,cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_170])]) ).
fof(f2847,plain,
( cons(sK24,sK20) = app(nil,cons(sK24,sK20))
| ~ spl72_153 ),
inference(resolution,[],[f2817,f469]) ).
fof(f3098,plain,
( spl72_169
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f2846,f2815,f3095]) ).
fof(f3095,plain,
( spl72_169
<=> cons(sK24,sK20) = app(cons(sK24,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_169])]) ).
fof(f2846,plain,
( cons(sK24,sK20) = app(cons(sK24,sK20),nil)
| ~ spl72_153 ),
inference(resolution,[],[f2817,f468]) ).
fof(f3093,plain,
( spl72_168
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f2835,f2811,f3090]) ).
fof(f3090,plain,
( spl72_168
<=> cons(sK24,nil) = app(nil,cons(sK24,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_168])]) ).
fof(f2835,plain,
( cons(sK24,nil) = app(nil,cons(sK24,nil))
| ~ spl72_152 ),
inference(resolution,[],[f2812,f469]) ).
fof(f3088,plain,
( spl72_167
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f2834,f2811,f3085]) ).
fof(f3085,plain,
( spl72_167
<=> cons(sK24,nil) = app(cons(sK24,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_167])]) ).
fof(f2834,plain,
( cons(sK24,nil) = app(cons(sK24,nil),nil)
| ~ spl72_152 ),
inference(resolution,[],[f2812,f468]) ).
fof(f3075,plain,
( ~ spl72_166
| ~ spl72_1
| spl72_26
| ~ spl72_150
| ~ spl72_160 ),
inference(avatar_split_clause,[],[f3070,f2960,f2792,f753,f616,f3072]) ).
fof(f3072,plain,
( spl72_166
<=> nil = cons(sK71,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_166])]) ).
fof(f753,plain,
( spl72_26
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f3070,plain,
( nil != cons(sK71,sK20)
| ~ spl72_1
| spl72_26
| ~ spl72_150
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f2957,f2961]) ).
fof(f2957,plain,
( nil != cons(sK71,sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| spl72_26
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2956,f618]) ).
fof(f2956,plain,
( nil != cons(sK71,sK20)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| spl72_26
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2951,f754]) ).
fof(f754,plain,
( nil != sK20
| spl72_26 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f2951,plain,
( nil != cons(sK71,sK20)
| nil = sK20
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_150 ),
inference(superposition,[],[f597,f2794]) ).
fof(f3069,plain,
( ~ spl72_165
| ~ spl72_1
| spl72_26
| ~ spl72_149
| ~ spl72_156 ),
inference(avatar_split_clause,[],[f3064,f2883,f2787,f753,f616,f3066]) ).
fof(f3066,plain,
( spl72_165
<=> nil = cons(sK70,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_165])]) ).
fof(f3064,plain,
( nil != cons(sK70,sK20)
| ~ spl72_1
| spl72_26
| ~ spl72_149
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f2880,f2884]) ).
fof(f2880,plain,
( nil != cons(sK70,sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_1
| spl72_26
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2879,f618]) ).
fof(f2879,plain,
( nil != cons(sK70,sK20)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| spl72_26
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2875,f754]) ).
fof(f2875,plain,
( nil != cons(sK70,sK20)
| nil = sK20
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_149 ),
inference(superposition,[],[f597,f2789]) ).
fof(f3063,plain,
( ~ spl72_164
| ~ spl72_1
| spl72_26
| ~ spl72_148
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3058,f2811,f2782,f753,f616,f3060]) ).
fof(f3060,plain,
( spl72_164
<=> nil = cons(sK24,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_164])]) ).
fof(f3058,plain,
( nil != cons(sK24,sK20)
| ~ spl72_1
| spl72_26
| ~ spl72_148
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f2808,f2812]) ).
fof(f2808,plain,
( nil != cons(sK24,sK20)
| ~ ssList(cons(sK24,nil))
| ~ spl72_1
| spl72_26
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2807,f618]) ).
fof(f2807,plain,
( nil != cons(sK24,sK20)
| ~ ssList(sK20)
| ~ ssList(cons(sK24,nil))
| spl72_26
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2804,f754]) ).
fof(f2804,plain,
( nil != cons(sK24,sK20)
| nil = sK20
| ~ ssList(sK20)
| ~ ssList(cons(sK24,nil))
| ~ spl72_148 ),
inference(superposition,[],[f597,f2784]) ).
fof(f3055,plain,
( spl72_163
| ~ spl72_1
| spl72_26
| ~ spl72_51
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f2998,f2964,f2960,f2792,f1247,f753,f616,f3052]) ).
fof(f3052,plain,
( spl72_163
<=> sK20 = sK28(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_163])]) ).
fof(f1247,plain,
( spl72_51
<=> sK20 = tl(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f2998,plain,
( sK20 = sK28(cons(sK71,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_51
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f1249,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f461,f2794,f2953,f2954,f2955,f2957,f2958,f2961,f2972,f2973,f2974,f2978,f2979,f2980,f2966,f2984,f2985,f2986,f2993,f2997]) ).
fof(f2997,plain,
( sK20 = sK28(cons(sK71,sK20))
| nil = cons(sK71,sK20)
| ~ spl72_51
| ~ spl72_161 ),
inference(forward_demodulation,[],[f2989,f1249]) ).
fof(f2989,plain,
( nil = cons(sK71,sK20)
| tl(cons(sK71,sK20)) = sK28(cons(sK71,sK20))
| ~ spl72_161 ),
inference(resolution,[],[f2966,f479]) ).
fof(f2993,plain,
( cons(sK71,sK20) = cons(sK26(cons(sK71,sK20)),sK25(cons(sK71,sK20)))
| ~ spl72_1
| spl72_26
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f461,f2794,f2953,f2954,f2955,f2957,f2958,f2961,f2972,f2973,f2974,f2978,f2979,f2980,f2966,f2984,f2985,f2986]) ).
fof(f2986,plain,
( nil = cons(sK71,sK20)
| cons(sK71,sK20) = cons(sK26(cons(sK71,sK20)),sK25(cons(sK71,sK20)))
| ~ spl72_161 ),
inference(resolution,[],[f2966,f472]) ).
fof(f2980,plain,
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,cons(sK71,nil)) = app(cons(X2,nil),cons(sK71,nil)) )
| ~ spl72_160 ),
inference(resolution,[],[f2961,f573]) ).
fof(f2978,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(sK71,nil) = tl(cons(X0,cons(sK71,nil))) )
| ~ spl72_160 ),
inference(resolution,[],[f2961,f571]) ).
fof(f2974,plain,
( nil = cons(sK71,nil)
| cons(sK71,nil) = cons(sK26(cons(sK71,nil)),sK25(cons(sK71,nil)))
| ~ spl72_160 ),
inference(resolution,[],[f2961,f472]) ).
fof(f2958,plain,
( ssList(cons(sK71,sK20))
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2952,f618]) ).
fof(f2952,plain,
( ssList(cons(sK71,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_150 ),
inference(superposition,[],[f578,f2794]) ).
fof(f2955,plain,
( nil != cons(sK71,sK20)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2950,f618]) ).
fof(f2950,plain,
( nil != cons(sK71,sK20)
| nil = cons(sK71,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_150 ),
inference(superposition,[],[f598,f2794]) ).
fof(f2954,plain,
( ! [X1] :
( memberP(cons(sK71,sK20),X1)
| ~ memberP(cons(sK71,nil),X1)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X1) )
| ~ spl72_1
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2949,f618]) ).
fof(f2949,plain,
( ! [X1] :
( memberP(cons(sK71,sK20),X1)
| ~ memberP(cons(sK71,nil),X1)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X1) )
| ~ spl72_150 ),
inference(superposition,[],[f460,f2794]) ).
fof(f2953,plain,
( ! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) )
| ~ spl72_1
| ~ spl72_150 ),
inference(subsumption_resolution,[],[f2948,f618]) ).
fof(f2948,plain,
( ! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) )
| ~ spl72_150 ),
inference(superposition,[],[f461,f2794]) ).
fof(f1918,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_1
| spl72_26 ),
inference(subsumption_resolution,[],[f1885,f754]) ).
fof(f1885,plain,
( nil = sK20
| sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_1 ),
inference(resolution,[],[f472,f618]) ).
fof(f1249,plain,
( sK20 = tl(cons(sK71,sK20))
| ~ spl72_51 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1159,plain,
( tl(sK20) = sK28(sK20)
| ~ spl72_1
| spl72_26 ),
inference(subsumption_resolution,[],[f1132,f754]) ).
fof(f1132,plain,
( nil = sK20
| tl(sK20) = sK28(sK20)
| ~ spl72_1 ),
inference(resolution,[],[f479,f618]) ).
fof(f1106,plain,
( hd(sK20) = sK27(sK20)
| ~ spl72_1
| spl72_26 ),
inference(subsumption_resolution,[],[f1079,f754]) ).
fof(f1079,plain,
( nil = sK20
| hd(sK20) = sK27(sK20)
| ~ spl72_1 ),
inference(resolution,[],[f477,f618]) ).
fof(f3003,plain,
( spl72_162
| ~ spl72_1
| spl72_26
| ~ spl72_57
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(avatar_split_clause,[],[f2996,f2964,f2960,f2792,f1362,f753,f616,f3000]) ).
fof(f3000,plain,
( spl72_162
<=> sK71 = sK27(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_162])]) ).
fof(f1362,plain,
( spl72_57
<=> sK71 = hd(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_57])]) ).
fof(f2996,plain,
( sK71 = sK27(cons(sK71,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_57
| ~ spl72_150
| ~ spl72_160
| ~ spl72_161 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f1364,f1372,f1373,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1703,f1782,f1829,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f461,f2794,f2953,f2954,f2955,f2957,f2958,f2961,f2972,f2973,f2974,f2978,f2979,f2980,f2966,f2984,f2985,f2986,f2993,f2995]) ).
fof(f2995,plain,
( sK71 = sK27(cons(sK71,sK20))
| nil = cons(sK71,sK20)
| ~ spl72_57
| ~ spl72_161 ),
inference(forward_demodulation,[],[f2988,f1364]) ).
fof(f2988,plain,
( nil = cons(sK71,sK20)
| hd(cons(sK71,sK20)) = sK27(cons(sK71,sK20))
| ~ spl72_161 ),
inference(resolution,[],[f2966,f477]) ).
fof(f1829,plain,
( ! [X4] :
( ~ lt(X4,sK71)
| sP3(cons(sK71,sK20),X4)
| ~ strictorderedP(cons(sK71,sK20)) )
| ~ spl72_57 ),
inference(superposition,[],[f1782,f1364]) ).
fof(f1703,plain,
( ! [X4] :
( ~ leq(X4,sK71)
| sP1(cons(sK71,sK20),X4)
| ~ totalorderedP(cons(sK71,sK20)) )
| ~ spl72_57 ),
inference(superposition,[],[f1637,f1364]) ).
fof(f1373,plain,
( ! [X1] :
( leq(X1,sK71)
| nil = cons(sK71,sK20)
| ~ sP1(cons(sK71,sK20),X1) )
| ~ spl72_57 ),
inference(superposition,[],[f447,f1364]) ).
fof(f1372,plain,
( ! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK20)
| ~ sP3(cons(sK71,sK20),X0) )
| ~ spl72_57 ),
inference(superposition,[],[f455,f1364]) ).
fof(f1364,plain,
( sK71 = hd(cons(sK71,sK20))
| ~ spl72_57 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f2971,plain,
( ~ spl72_14
| ~ spl72_16
| spl72_160 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2970,plain,
( $false
| ~ spl72_14
| ~ spl72_16
| spl72_160 ),
inference(subsumption_resolution,[],[f2969,f683]) ).
fof(f2969,plain,
( ~ ssList(nil)
| ~ spl72_16
| spl72_160 ),
inference(subsumption_resolution,[],[f2968,f693]) ).
fof(f2968,plain,
( ~ ssItem(sK71)
| ~ ssList(nil)
| spl72_160 ),
inference(resolution,[],[f2962,f568]) ).
fof(f2962,plain,
( ~ ssList(cons(sK71,nil))
| spl72_160 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f2967,plain,
( ~ spl72_160
| spl72_161
| ~ spl72_1
| ~ spl72_150 ),
inference(avatar_split_clause,[],[f2958,f2792,f616,f2964,f2960]) ).
fof(f2945,plain,
( spl72_159
| ~ spl72_1
| spl72_26
| ~ spl72_50
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f2935,f2887,f2883,f2787,f1242,f753,f616,f2942]) ).
fof(f2942,plain,
( spl72_159
<=> sK20 = sK28(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_159])]) ).
fof(f1242,plain,
( spl72_50
<=> sK20 = tl(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_50])]) ).
fof(f2935,plain,
( sK20 = sK28(cons(sK70,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_50
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f1244,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f2789,f2877,f2878,f2880,f2881,f2884,f2895,f2896,f2897,f2901,f2902,f2903,f461,f2920,f2889,f2921,f2922,f2923,f2930,f2934]) ).
fof(f2934,plain,
( sK20 = sK28(cons(sK70,sK20))
| nil = cons(sK70,sK20)
| ~ spl72_50
| ~ spl72_157 ),
inference(forward_demodulation,[],[f2926,f1244]) ).
fof(f2926,plain,
( nil = cons(sK70,sK20)
| tl(cons(sK70,sK20)) = sK28(cons(sK70,sK20))
| ~ spl72_157 ),
inference(resolution,[],[f2889,f479]) ).
fof(f2930,plain,
( cons(sK70,sK20) = cons(sK26(cons(sK70,sK20)),sK25(cons(sK70,sK20)))
| ~ spl72_1
| spl72_26
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f2789,f2877,f2878,f2880,f2881,f2884,f2895,f2896,f2897,f2901,f2902,f2903,f461,f2920,f2889,f2921,f2922,f2923]) ).
fof(f2923,plain,
( nil = cons(sK70,sK20)
| cons(sK70,sK20) = cons(sK26(cons(sK70,sK20)),sK25(cons(sK70,sK20)))
| ~ spl72_157 ),
inference(resolution,[],[f2889,f472]) ).
fof(f2920,plain,
( ! [X6] :
( memberP(cons(sK70,sK20),X6)
| ~ memberP(sK20,X6)
| ~ ssItem(X6) )
| ~ spl72_1
| ~ spl72_149
| ~ spl72_156 ),
inference(subsumption_resolution,[],[f2919,f2884]) ).
fof(f2919,plain,
( ! [X6] :
( memberP(cons(sK70,sK20),X6)
| ~ memberP(sK20,X6)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X6) )
| ~ spl72_1
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2913,f618]) ).
fof(f2913,plain,
( ! [X6] :
( memberP(cons(sK70,sK20),X6)
| ~ memberP(sK20,X6)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X6) )
| ~ spl72_149 ),
inference(superposition,[],[f461,f2789]) ).
fof(f2903,plain,
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,cons(sK70,nil)) = app(cons(X2,nil),cons(sK70,nil)) )
| ~ spl72_156 ),
inference(resolution,[],[f2884,f573]) ).
fof(f2901,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(sK70,nil) = tl(cons(X0,cons(sK70,nil))) )
| ~ spl72_156 ),
inference(resolution,[],[f2884,f571]) ).
fof(f2897,plain,
( nil = cons(sK70,nil)
| cons(sK70,nil) = cons(sK26(cons(sK70,nil)),sK25(cons(sK70,nil)))
| ~ spl72_156 ),
inference(resolution,[],[f2884,f472]) ).
fof(f2881,plain,
( ssList(cons(sK70,sK20))
| ~ ssList(cons(sK70,nil))
| ~ spl72_1
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2876,f618]) ).
fof(f2876,plain,
( ssList(cons(sK70,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_149 ),
inference(superposition,[],[f578,f2789]) ).
fof(f2878,plain,
( nil != cons(sK70,sK20)
| nil = cons(sK70,nil)
| ~ ssList(cons(sK70,nil))
| ~ spl72_1
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2874,f618]) ).
fof(f2874,plain,
( nil != cons(sK70,sK20)
| nil = cons(sK70,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_149 ),
inference(superposition,[],[f598,f2789]) ).
fof(f2877,plain,
( ! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) )
| ~ spl72_1
| ~ spl72_149 ),
inference(subsumption_resolution,[],[f2873,f618]) ).
fof(f2873,plain,
( ! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) )
| ~ spl72_149 ),
inference(superposition,[],[f460,f2789]) ).
fof(f1244,plain,
( sK20 = tl(cons(sK70,sK20))
| ~ spl72_50 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f2940,plain,
( spl72_158
| ~ spl72_1
| spl72_26
| ~ spl72_56
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(avatar_split_clause,[],[f2933,f2887,f2883,f2787,f1357,f753,f616,f2937]) ).
fof(f2937,plain,
( spl72_158
<=> sK70 = sK27(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_158])]) ).
fof(f1357,plain,
( spl72_56
<=> sK70 = hd(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f2933,plain,
( sK70 = sK27(cons(sK70,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_56
| ~ spl72_149
| ~ spl72_156
| ~ spl72_157 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f1359,f1369,f1370,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1702,f1782,f1828,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f460,f2789,f2877,f2878,f2880,f2881,f2884,f2895,f2896,f2897,f2901,f2902,f2903,f461,f2920,f2889,f2921,f2922,f2923,f2930,f2932]) ).
fof(f2932,plain,
( sK70 = sK27(cons(sK70,sK20))
| nil = cons(sK70,sK20)
| ~ spl72_56
| ~ spl72_157 ),
inference(forward_demodulation,[],[f2925,f1359]) ).
fof(f2925,plain,
( nil = cons(sK70,sK20)
| hd(cons(sK70,sK20)) = sK27(cons(sK70,sK20))
| ~ spl72_157 ),
inference(resolution,[],[f2889,f477]) ).
fof(f1828,plain,
( ! [X3] :
( ~ lt(X3,sK70)
| sP3(cons(sK70,sK20),X3)
| ~ strictorderedP(cons(sK70,sK20)) )
| ~ spl72_56 ),
inference(superposition,[],[f1782,f1359]) ).
fof(f1702,plain,
( ! [X3] :
( ~ leq(X3,sK70)
| sP1(cons(sK70,sK20),X3)
| ~ totalorderedP(cons(sK70,sK20)) )
| ~ spl72_56 ),
inference(superposition,[],[f1637,f1359]) ).
fof(f1370,plain,
( ! [X1] :
( leq(X1,sK70)
| nil = cons(sK70,sK20)
| ~ sP1(cons(sK70,sK20),X1) )
| ~ spl72_56 ),
inference(superposition,[],[f447,f1359]) ).
fof(f1369,plain,
( ! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK20)
| ~ sP3(cons(sK70,sK20),X0) )
| ~ spl72_56 ),
inference(superposition,[],[f455,f1359]) ).
fof(f1359,plain,
( sK70 = hd(cons(sK70,sK20))
| ~ spl72_56 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f2894,plain,
( ~ spl72_14
| ~ spl72_15
| spl72_156 ),
inference(avatar_contradiction_clause,[],[f2893]) ).
fof(f2893,plain,
( $false
| ~ spl72_14
| ~ spl72_15
| spl72_156 ),
inference(subsumption_resolution,[],[f2892,f683]) ).
fof(f2892,plain,
( ~ ssList(nil)
| ~ spl72_15
| spl72_156 ),
inference(subsumption_resolution,[],[f2891,f688]) ).
fof(f2891,plain,
( ~ ssItem(sK70)
| ~ ssList(nil)
| spl72_156 ),
inference(resolution,[],[f2885,f568]) ).
fof(f2885,plain,
( ~ ssList(cons(sK70,nil))
| spl72_156 ),
inference(avatar_component_clause,[],[f2883]) ).
fof(f2890,plain,
( ~ spl72_156
| spl72_157
| ~ spl72_1
| ~ spl72_149 ),
inference(avatar_split_clause,[],[f2881,f2787,f616,f2887,f2883]) ).
fof(f2870,plain,
( spl72_155
| ~ spl72_1
| spl72_26
| ~ spl72_49
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f2860,f2815,f2811,f2782,f1237,f753,f616,f2867]) ).
fof(f2867,plain,
( spl72_155
<=> sK20 = sK28(cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_155])]) ).
fof(f1237,plain,
( spl72_49
<=> sK20 = tl(cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f2860,plain,
( sK20 = sK28(cons(sK24,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_49
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f461,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f1239,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f2784,f2806,f2808,f2809,f460,f2828,f2812,f2834,f2835,f2836,f2840,f2841,f2842,f2817,f2846,f2847,f2848,f2855,f2859]) ).
fof(f2859,plain,
( sK20 = sK28(cons(sK24,sK20))
| nil = cons(sK24,sK20)
| ~ spl72_49
| ~ spl72_153 ),
inference(forward_demodulation,[],[f2851,f1239]) ).
fof(f2851,plain,
( nil = cons(sK24,sK20)
| tl(cons(sK24,sK20)) = sK28(cons(sK24,sK20))
| ~ spl72_153 ),
inference(resolution,[],[f2817,f479]) ).
fof(f2855,plain,
( cons(sK24,sK20) = cons(sK26(cons(sK24,sK20)),sK25(cons(sK24,sK20)))
| ~ spl72_1
| spl72_26
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f461,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1782,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f2784,f2806,f2808,f2809,f460,f2828,f2812,f2834,f2835,f2836,f2840,f2841,f2842,f2817,f2846,f2847,f2848]) ).
fof(f2848,plain,
( nil = cons(sK24,sK20)
| cons(sK24,sK20) = cons(sK26(cons(sK24,sK20)),sK25(cons(sK24,sK20)))
| ~ spl72_153 ),
inference(resolution,[],[f2817,f472]) ).
fof(f2842,plain,
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,cons(sK24,nil)) = app(cons(X2,nil),cons(sK24,nil)) )
| ~ spl72_152 ),
inference(resolution,[],[f2812,f573]) ).
fof(f2840,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(sK24,nil) = tl(cons(X0,cons(sK24,nil))) )
| ~ spl72_152 ),
inference(resolution,[],[f2812,f571]) ).
fof(f2836,plain,
( nil = cons(sK24,nil)
| cons(sK24,nil) = cons(sK26(cons(sK24,nil)),sK25(cons(sK24,nil)))
| ~ spl72_152 ),
inference(resolution,[],[f2812,f472]) ).
fof(f2828,plain,
( ! [X5] :
( memberP(cons(sK24,sK20),X5)
| ~ memberP(cons(sK24,nil),X5)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X5) )
| ~ spl72_1
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2824,f618]) ).
fof(f2824,plain,
( ! [X5] :
( memberP(cons(sK24,sK20),X5)
| ~ memberP(cons(sK24,nil),X5)
| ~ ssList(sK20)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X5) )
| ~ spl72_148 ),
inference(superposition,[],[f460,f2784]) ).
fof(f2809,plain,
( ssList(cons(sK24,sK20))
| ~ ssList(cons(sK24,nil))
| ~ spl72_1
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2805,f618]) ).
fof(f2805,plain,
( ssList(cons(sK24,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK24,nil))
| ~ spl72_148 ),
inference(superposition,[],[f578,f2784]) ).
fof(f2806,plain,
( nil != cons(sK24,sK20)
| nil = cons(sK24,nil)
| ~ ssList(cons(sK24,nil))
| ~ spl72_1
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f2803,f618]) ).
fof(f2803,plain,
( nil != cons(sK24,sK20)
| nil = cons(sK24,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK24,nil))
| ~ spl72_148 ),
inference(superposition,[],[f598,f2784]) ).
fof(f1239,plain,
( sK20 = tl(cons(sK24,sK20))
| ~ spl72_49 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f2865,plain,
( spl72_154
| ~ spl72_1
| spl72_26
| ~ spl72_55
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(avatar_split_clause,[],[f2858,f2815,f2811,f2782,f1351,f753,f616,f2862]) ).
fof(f2862,plain,
( spl72_154
<=> sK24 = sK27(cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_154])]) ).
fof(f1351,plain,
( spl72_55
<=> sK24 = hd(cons(sK24,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_55])]) ).
fof(f2858,plain,
( sK24 = sK27(cons(sK24,sK20))
| ~ spl72_1
| spl72_26
| ~ spl72_55
| ~ spl72_148
| ~ spl72_152
| ~ spl72_153 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f432,f433,f434,f435,f436,f437,f442,f441,f440,f449,f457,f461,f459,f490,f485,f501,f495,f512,f506,f524,f518,f536,f530,f548,f542,f559,f553,f577,f576,f579,f580,f581,f589,f588,f593,f592,f596,f595,f599,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f393,f618,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f394,f395,f614,f492,f503,f515,f527,f539,f550,f561,f754,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f411,f412,f413,f414,f415,f416,f417,f448,f456,f483,f484,f493,f494,f504,f505,f516,f517,f528,f529,f540,f541,f551,f552,f757,f758,f383,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f450,f770,f458,f468,f786,f469,f830,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f870,f446,f454,f470,f873,f874,f471,f473,f474,f875,f876,f476,f478,f877,f878,f562,f563,f564,f565,f566,f567,f568,f897,f898,f578,f899,f900,f569,f570,f790,f907,f791,f908,f792,f909,f793,f910,f794,f911,f795,f912,f796,f913,f797,f914,f798,f915,f799,f916,f384,f418,f420,f800,f981,f801,f982,f802,f983,f803,f984,f804,f985,f805,f986,f806,f987,f807,f988,f423,f808,f989,f809,f990,f834,f991,f835,f992,f836,f993,f837,f994,f838,f995,f839,f996,f840,f997,f841,f998,f842,f999,f424,f843,f1002,f844,f1003,f845,f1004,f846,f1005,f847,f1006,f848,f1007,f849,f1008,f850,f1009,f851,f1010,f852,f1011,f853,f1012,f425,f868,f426,f1015,f427,f428,f429,f430,f443,f444,f1021,f447,f451,f1046,f452,f455,f1071,f1072,f1073,f1074,f477,f1105,f1076,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1103,f1104,f1106,f479,f1158,f1129,f1131,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1149,f1150,f1151,f1152,f1153,f1154,f1155,f1156,f1157,f1159,f481,f571,f1181,f1182,f1184,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1185,f1213,f1214,f1217,f1218,f1219,f572,f1254,f1255,f1257,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1276,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1258,f1327,f1328,f1331,f1332,f1333,f585,f1353,f1366,f1367,f586,f1220,f1437,f1221,f1438,f1222,f1439,f1223,f1440,f482,f1442,f574,f1500,f1501,f1502,f1503,f1504,f1505,f575,f1544,f1545,f1546,f1547,f1548,f1549,f1224,f1556,f1225,f1557,f1226,f1558,f1227,f1559,f1228,f1560,f1229,f1561,f1230,f1562,f1231,f1563,f1232,f1564,f587,f1565,f1566,f1567,f1568,f1569,f1570,f1233,f1571,f590,f1582,f1583,f1584,f1585,f1586,f1587,f1334,f1592,f1335,f1593,f1336,f1594,f1337,f1595,f1338,f1596,f1339,f1597,f1340,f1598,f591,f1599,f1600,f1601,f1602,f1603,f1604,f1341,f1605,f1342,f1606,f1343,f1607,f1344,f1608,f1345,f1609,f1346,f1610,f1347,f1611,f594,f1616,f1617,f1618,f1619,f1620,f1621,f1637,f1698,f1700,f1782,f1826,f472,f1917,f1882,f1884,f1889,f1890,f1891,f1892,f1893,f1894,f1895,f1896,f1897,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1918,f475,f2022,f1987,f1989,f1994,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f597,f598,f419,f2173,f2165,f2175,f2177,f2179,f421,f2237,f422,f2295,f2304,f2301,f2305,f573,f2391,f2392,f2394,f2399,f2401,f2402,f2403,f2404,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2412,f2413,f2414,f2415,f2416,f2417,f2418,f2419,f2420,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f582,f583,f584,f2395,f2636,f2639,f2642,f2645,f2646,f2648,f2649,f2650,f2651,f2652,f2653,f2654,f2655,f2656,f2657,f2658,f2659,f2660,f2661,f438,f439,f2784,f2806,f2808,f2809,f460,f2828,f2812,f2834,f2835,f2836,f2840,f2841,f2842,f2817,f2846,f2847,f2848,f2855,f2857]) ).
fof(f2857,plain,
( sK24 = sK27(cons(sK24,sK20))
| nil = cons(sK24,sK20)
| ~ spl72_55
| ~ spl72_153 ),
inference(forward_demodulation,[],[f2850,f1353]) ).
fof(f2850,plain,
( nil = cons(sK24,sK20)
| hd(cons(sK24,sK20)) = sK27(cons(sK24,sK20))
| ~ spl72_153 ),
inference(resolution,[],[f2817,f477]) ).
fof(f1826,plain,
( ! [X1] :
( ~ lt(X1,sK24)
| sP3(cons(sK24,sK20),X1)
| ~ strictorderedP(cons(sK24,sK20)) )
| ~ spl72_55 ),
inference(superposition,[],[f1782,f1353]) ).
fof(f1700,plain,
( ! [X1] :
( ~ leq(X1,sK24)
| sP1(cons(sK24,sK20),X1)
| ~ totalorderedP(cons(sK24,sK20)) )
| ~ spl72_55 ),
inference(superposition,[],[f1637,f1353]) ).
fof(f1367,plain,
( ! [X1] :
( leq(X1,sK24)
| nil = cons(sK24,sK20)
| ~ sP1(cons(sK24,sK20),X1) )
| ~ spl72_55 ),
inference(superposition,[],[f447,f1353]) ).
fof(f1366,plain,
( ! [X0] :
( lt(X0,sK24)
| nil = cons(sK24,sK20)
| ~ sP3(cons(sK24,sK20),X0) )
| ~ spl72_55 ),
inference(superposition,[],[f455,f1353]) ).
fof(f1353,plain,
( sK24 = hd(cons(sK24,sK20))
| ~ spl72_55 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f2833,plain,
( ~ spl72_5
| ~ spl72_14
| spl72_152 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2832,plain,
( $false
| ~ spl72_5
| ~ spl72_14
| spl72_152 ),
inference(subsumption_resolution,[],[f2831,f683]) ).
fof(f2831,plain,
( ~ ssList(nil)
| ~ spl72_5
| spl72_152 ),
inference(subsumption_resolution,[],[f2830,f638]) ).
fof(f2830,plain,
( ~ ssItem(sK24)
| ~ ssList(nil)
| spl72_152 ),
inference(resolution,[],[f2813,f568]) ).
fof(f2813,plain,
( ~ ssList(cons(sK24,nil))
| spl72_152 ),
inference(avatar_component_clause,[],[f2811]) ).
fof(f2818,plain,
( ~ spl72_152
| spl72_153
| ~ spl72_1
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f2809,f2782,f616,f2815,f2811]) ).
fof(f2802,plain,
( spl72_151
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33
| ~ spl72_81
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f2797,f1802,f1756,f934,f919,f681,f2799]) ).
fof(f2799,plain,
( spl72_151
<=> memberP(sK20,hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_151])]) ).
fof(f2797,plain,
( memberP(sK20,hd(sK20))
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33
| ~ spl72_81
| ~ spl72_87 ),
inference(subsumption_resolution,[],[f2796,f1758]) ).
fof(f2796,plain,
( memberP(sK20,hd(sK20))
| ~ ssItem(hd(sK20))
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(equality_resolution,[],[f2686]) ).
fof(f2686,plain,
( ! [X0] :
( hd(sK20) != X0
| memberP(sK20,X0)
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(forward_demodulation,[],[f2685,f1804]) ).
fof(f2685,plain,
( ! [X0] :
( memberP(sK20,X0)
| sK19(sK21,sK20) != X0
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f2684,f935]) ).
fof(f2684,plain,
( ! [X0] :
( memberP(sK20,X0)
| sK19(sK21,sK20) != X0
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_14
| ~ spl72_32 ),
inference(subsumption_resolution,[],[f2677,f683]) ).
fof(f2677,plain,
( ! [X0] :
( memberP(sK20,X0)
| sK19(sK21,sK20) != X0
| ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_32 ),
inference(superposition,[],[f438,f921]) ).
fof(f2795,plain,
( spl72_150
| ~ spl72_1
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f2663,f691,f616,f2792]) ).
fof(f2663,plain,
( cons(sK71,sK20) = app(cons(sK71,nil),sK20)
| ~ spl72_1
| ~ spl72_16 ),
inference(resolution,[],[f2395,f693]) ).
fof(f2790,plain,
( spl72_149
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f2662,f686,f616,f2787]) ).
fof(f2662,plain,
( cons(sK70,sK20) = app(cons(sK70,nil),sK20)
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f2395,f688]) ).
fof(f2785,plain,
( spl72_148
| ~ spl72_1
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f2641,f636,f616,f2782]) ).
fof(f2641,plain,
( cons(sK24,sK20) = app(cons(sK24,nil),sK20)
| ~ spl72_1
| ~ spl72_5 ),
inference(resolution,[],[f2395,f638]) ).
fof(f2755,plain,
( spl72_147
| ~ spl72_121
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f2699,f2672,f2275,f2752]) ).
fof(f2275,plain,
( spl72_121
<=> hd(sK20) = hd(cons(hd(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_121])]) ).
fof(f2699,plain,
( hd(sK20) = hd(app(sK20,sK20))
| ~ spl72_121
| ~ spl72_142 ),
inference(superposition,[],[f2277,f2674]) ).
fof(f2277,plain,
( hd(sK20) = hd(cons(hd(sK20),sK20))
| ~ spl72_121 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2749,plain,
( spl72_146
| ~ spl72_90
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f2700,f2672,f1869,f2746]) ).
fof(f1869,plain,
( spl72_90
<=> sK20 = tl(cons(hd(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f2700,plain,
( sK20 = tl(app(sK20,sK20))
| ~ spl72_90
| ~ spl72_142 ),
inference(superposition,[],[f1871,f2674]) ).
fof(f1871,plain,
( sK20 = tl(cons(hd(sK20),sK20))
| ~ spl72_90 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f2744,plain,
( ~ spl72_145
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f2716,f2672,f1756,f616,f2741]) ).
fof(f2741,plain,
( spl72_145
<=> sK20 = app(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_145])]) ).
fof(f2739,plain,
( ~ spl72_144
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f2714,f2672,f1756,f616,f2736]) ).
fof(f2736,plain,
( spl72_144
<=> nil = app(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_144])]) ).
fof(f2721,plain,
( spl72_143
| ~ spl72_1
| ~ spl72_81
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f2712,f2672,f1756,f616,f2718]) ).
fof(f2676,plain,
( spl72_142
| ~ spl72_1
| ~ spl72_89
| ~ spl72_94
| ~ spl72_130 ),
inference(avatar_split_clause,[],[f2668,f2431,f1959,f1849,f616,f2672]) ).
fof(f1849,plain,
( spl72_89
<=> sK20 = cons(hd(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f2668,plain,
( cons(hd(sK20),sK20) = app(sK20,sK20)
| ~ spl72_1
| ~ spl72_89
| ~ spl72_94
| ~ spl72_130 ),
inference(forward_demodulation,[],[f2667,f1851]) ).
fof(f1851,plain,
( sK20 = cons(hd(sK20),nil)
| ~ spl72_89 ),
inference(avatar_component_clause,[],[f1849]) ).
fof(f2667,plain,
( cons(hd(sK20),sK20) = app(cons(hd(sK20),nil),sK20)
| ~ spl72_1
| ~ spl72_94
| ~ spl72_130 ),
inference(forward_demodulation,[],[f2643,f2433]) ).
fof(f2643,plain,
( cons(sK26(sK20),sK20) = app(cons(sK26(sK20),nil),sK20)
| ~ spl72_1
| ~ spl72_94 ),
inference(resolution,[],[f2395,f1960]) ).
fof(f2675,plain,
( spl72_142
| ~ spl72_1
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f2666,f1802,f934,f919,f616,f2672]) ).
fof(f2666,plain,
( cons(hd(sK20),sK20) = app(sK20,sK20)
| ~ spl72_1
| ~ spl72_32
| ~ spl72_33
| ~ spl72_87 ),
inference(forward_demodulation,[],[f2665,f1804]) ).
fof(f2665,plain,
( cons(sK19(sK21,sK20),sK20) = app(sK20,sK20)
| ~ spl72_1
| ~ spl72_32
| ~ spl72_33 ),
inference(forward_demodulation,[],[f2640,f921]) ).
fof(f2640,plain,
( cons(sK19(sK21,sK20),sK20) = app(cons(sK19(sK21,sK20),nil),sK20)
| ~ spl72_1
| ~ spl72_33 ),
inference(resolution,[],[f2395,f935]) ).
fof(f2601,plain,
( ~ spl72_67
| ~ spl72_76
| ~ spl72_80
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(avatar_contradiction_clause,[],[f2600]) ).
fof(f2600,plain,
( $false
| ~ spl72_67
| ~ spl72_76
| ~ spl72_80
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(subsumption_resolution,[],[f2599,f2341]) ).
fof(f2341,plain,
( nil != sK25(sK20)
| spl72_127 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f2340,plain,
( spl72_127
<=> nil = sK25(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_127])]) ).
fof(f2599,plain,
( nil = sK25(sK20)
| ~ spl72_67
| ~ spl72_76
| ~ spl72_80
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2598,f1678]) ).
fof(f1678,plain,
( nil = tl(sK20)
| ~ spl72_76 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1676,plain,
( spl72_76
<=> nil = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_76])]) ).
fof(f2598,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_67
| ~ spl72_80
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2597,f2497]) ).
fof(f2497,plain,
( sK20 = cons(hd(sK20),sK25(sK20))
| ~ spl72_136 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2495,plain,
( spl72_136
<=> sK20 = cons(hd(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_136])]) ).
fof(f2597,plain,
( sK25(sK20) = tl(cons(hd(sK20),sK25(sK20)))
| ~ spl72_67
| ~ spl72_80
| ~ spl72_125 ),
inference(forward_demodulation,[],[f2567,f1740]) ).
fof(f1740,plain,
( hd(sK20) = sK29(sK20)
| ~ spl72_80 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1738,plain,
( spl72_80
<=> hd(sK20) = sK29(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_80])]) ).
fof(f2567,plain,
( sK25(sK20) = tl(cons(sK29(sK20),sK25(sK20)))
| ~ spl72_67
| ~ spl72_125 ),
inference(resolution,[],[f2332,f1488]) ).
fof(f1488,plain,
( ssItem(sK29(sK20))
| ~ spl72_67 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1487,plain,
( spl72_67
<=> ssItem(sK29(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f2332,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK25(sK20) = tl(cons(X0,sK25(sK20))) )
| ~ spl72_125 ),
inference(resolution,[],[f2319,f571]) ).
fof(f2319,plain,
( ssList(sK25(sK20))
| ~ spl72_125 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2318,plain,
( spl72_125
<=> ssList(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_125])]) ).
fof(f2596,plain,
( ~ spl72_76
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125
| spl72_127 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2595,plain,
( $false
| ~ spl72_76
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125
| spl72_127 ),
inference(subsumption_resolution,[],[f2594,f2341]) ).
fof(f2594,plain,
( nil = sK25(sK20)
| ~ spl72_76
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125 ),
inference(forward_demodulation,[],[f2593,f1678]) ).
fof(f2593,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125 ),
inference(forward_demodulation,[],[f2563,f1929]) ).
fof(f1929,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_92 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1927,plain,
( spl72_92
<=> sK20 = cons(sK26(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f2563,plain,
( sK25(sK20) = tl(cons(sK26(sK20),sK25(sK20)))
| ~ spl72_94
| ~ spl72_125 ),
inference(resolution,[],[f2332,f1960]) ).
fof(f2592,plain,
( ~ spl72_33
| ~ spl72_76
| ~ spl72_87
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(avatar_contradiction_clause,[],[f2591]) ).
fof(f2591,plain,
( $false
| ~ spl72_33
| ~ spl72_76
| ~ spl72_87
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(subsumption_resolution,[],[f2590,f2341]) ).
fof(f2590,plain,
( nil = sK25(sK20)
| ~ spl72_33
| ~ spl72_76
| ~ spl72_87
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2589,f1678]) ).
fof(f2589,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_33
| ~ spl72_87
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2588,f2497]) ).
fof(f2588,plain,
( sK25(sK20) = tl(cons(hd(sK20),sK25(sK20)))
| ~ spl72_33
| ~ spl72_87
| ~ spl72_125 ),
inference(forward_demodulation,[],[f2560,f1804]) ).
fof(f2560,plain,
( sK25(sK20) = tl(cons(sK19(sK21,sK20),sK25(sK20)))
| ~ spl72_33
| ~ spl72_125 ),
inference(resolution,[],[f2332,f935]) ).
fof(f2587,plain,
( ~ spl72_76
| ~ spl72_81
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(avatar_contradiction_clause,[],[f2586]) ).
fof(f2586,plain,
( $false
| ~ spl72_76
| ~ spl72_81
| ~ spl72_125
| spl72_127
| ~ spl72_136 ),
inference(subsumption_resolution,[],[f2585,f2341]) ).
fof(f2585,plain,
( nil = sK25(sK20)
| ~ spl72_76
| ~ spl72_81
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2584,f1678]) ).
fof(f2584,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_81
| ~ spl72_125
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2557,f2497]) ).
fof(f2557,plain,
( sK25(sK20) = tl(cons(hd(sK20),sK25(sK20)))
| ~ spl72_81
| ~ spl72_125 ),
inference(resolution,[],[f2332,f1758]) ).
fof(f2555,plain,
( spl72_141
| spl72_127
| ~ spl72_139 ),
inference(avatar_split_clause,[],[f2550,f2536,f2340,f2552]) ).
fof(f2552,plain,
( spl72_141
<=> strictorderedP(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_141])]) ).
fof(f2536,plain,
( spl72_139
<=> sP3(sK25(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_139])]) ).
fof(f2550,plain,
( strictorderedP(sK25(sK20))
| spl72_127
| ~ spl72_139 ),
inference(subsumption_resolution,[],[f2549,f2341]) ).
fof(f2549,plain,
( nil = sK25(sK20)
| strictorderedP(sK25(sK20))
| ~ spl72_139 ),
inference(resolution,[],[f2538,f454]) ).
fof(f2538,plain,
( sP3(sK25(sK20),hd(sK20))
| ~ spl72_139 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f2548,plain,
( ~ spl72_81
| ~ spl72_125
| spl72_140 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
fof(f2547,plain,
( $false
| ~ spl72_81
| ~ spl72_125
| spl72_140 ),
inference(subsumption_resolution,[],[f2546,f1758]) ).
fof(f2546,plain,
( ~ ssItem(hd(sK20))
| ~ spl72_125
| spl72_140 ),
inference(subsumption_resolution,[],[f2545,f2319]) ).
fof(f2545,plain,
( ~ ssList(sK25(sK20))
| ~ ssItem(hd(sK20))
| spl72_140 ),
inference(resolution,[],[f2542,f458]) ).
fof(f2542,plain,
( ~ sP4(hd(sK20),sK25(sK20))
| spl72_140 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f2540,plain,
( spl72_140
<=> sP4(hd(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_140])]) ).
fof(f2543,plain,
( spl72_139
| ~ spl72_140
| ~ spl72_39
| ~ spl72_92
| ~ spl72_130 ),
inference(avatar_split_clause,[],[f2528,f2431,f1927,f971,f2540,f2536]) ).
fof(f971,plain,
( spl72_39
<=> strictorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_39])]) ).
fof(f2528,plain,
( ~ sP4(hd(sK20),sK25(sK20))
| sP3(sK25(sK20),hd(sK20))
| ~ spl72_39
| ~ spl72_92
| ~ spl72_130 ),
inference(forward_demodulation,[],[f2527,f2433]) ).
fof(f2527,plain,
( sP3(sK25(sK20),hd(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_39
| ~ spl72_92
| ~ spl72_130 ),
inference(forward_demodulation,[],[f1946,f2433]) ).
fof(f1946,plain,
( sP3(sK25(sK20),sK26(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_39
| ~ spl72_92 ),
inference(subsumption_resolution,[],[f1940,f973]) ).
fof(f973,plain,
( strictorderedP(sK20)
| ~ spl72_39 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f1940,plain,
( ~ strictorderedP(sK20)
| sP3(sK25(sK20),sK26(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_92 ),
inference(superposition,[],[f451,f1929]) ).
fof(f2516,plain,
( spl72_138
| ~ spl72_96
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2368,f2318,f1978,f2513]) ).
fof(f2513,plain,
( spl72_138
<=> sK26(sK21) = hd(cons(sK26(sK21),sK25(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_138])]) ).
fof(f2368,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK25(sK20)))
| ~ spl72_96
| ~ spl72_125 ),
inference(resolution,[],[f2333,f1979]) ).
fof(f2333,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,sK25(sK20))) = X1 )
| ~ spl72_125 ),
inference(resolution,[],[f2319,f572]) ).
fof(f2511,plain,
( spl72_137
| ~ spl72_99
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2362,f2318,f2059,f2508]) ).
fof(f2508,plain,
( spl72_137
<=> hd(sK21) = hd(cons(hd(sK21),sK25(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_137])]) ).
fof(f2362,plain,
( hd(sK21) = hd(cons(hd(sK21),sK25(sK20)))
| ~ spl72_99
| ~ spl72_125 ),
inference(resolution,[],[f2333,f2060]) ).
fof(f2498,plain,
( spl72_136
| ~ spl72_92
| ~ spl72_130 ),
inference(avatar_split_clause,[],[f2435,f2431,f1927,f2495]) ).
fof(f2435,plain,
( sK20 = cons(hd(sK20),sK25(sK20))
| ~ spl72_92
| ~ spl72_130 ),
inference(superposition,[],[f1929,f2433]) ).
fof(f2472,plain,
( spl72_135
| ~ spl72_16
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2387,f2318,f691,f2469]) ).
fof(f2469,plain,
( spl72_135
<=> sK71 = hd(cons(sK71,sK25(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_135])]) ).
fof(f2387,plain,
( sK71 = hd(cons(sK71,sK25(sK20)))
| ~ spl72_16
| ~ spl72_125 ),
inference(resolution,[],[f2333,f693]) ).
fof(f2467,plain,
( spl72_134
| ~ spl72_15
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2386,f2318,f686,f2464]) ).
fof(f2464,plain,
( spl72_134
<=> sK70 = hd(cons(sK70,sK25(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_134])]) ).
fof(f2386,plain,
( sK70 = hd(cons(sK70,sK25(sK20)))
| ~ spl72_15
| ~ spl72_125 ),
inference(resolution,[],[f2333,f688]) ).
fof(f2462,plain,
( spl72_133
| ~ spl72_5
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2365,f2318,f636,f2459]) ).
fof(f2459,plain,
( spl72_133
<=> sK24 = hd(cons(sK24,sK25(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_133])]) ).
fof(f2365,plain,
( sK24 = hd(cons(sK24,sK25(sK20)))
| ~ spl72_5
| ~ spl72_125 ),
inference(resolution,[],[f2333,f638]) ).
fof(f2456,plain,
( spl72_132
| ~ spl72_124
| ~ spl72_130 ),
inference(avatar_split_clause,[],[f2444,f2431,f2311,f2453]) ).
fof(f2453,plain,
( spl72_132
<=> sP1(sK25(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_132])]) ).
fof(f2311,plain,
( spl72_124
<=> sP1(sK25(sK20),sK26(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_124])]) ).
fof(f2444,plain,
( sP1(sK25(sK20),hd(sK20))
| ~ spl72_124
| ~ spl72_130 ),
inference(superposition,[],[f2313,f2433]) ).
fof(f2313,plain,
( sP1(sK25(sK20),sK26(sK20))
| ~ spl72_124 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f2451,plain,
( spl72_131
| ~ spl72_123
| ~ spl72_130 ),
inference(avatar_split_clause,[],[f2443,f2431,f2307,f2448]) ).
fof(f2448,plain,
( spl72_131
<=> sP2(hd(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_131])]) ).
fof(f2307,plain,
( spl72_123
<=> sP2(sK26(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_123])]) ).
fof(f2443,plain,
( sP2(hd(sK20),sK25(sK20))
| ~ spl72_123
| ~ spl72_130 ),
inference(superposition,[],[f2308,f2433]) ).
fof(f2308,plain,
( sP2(sK26(sK20),sK25(sK20))
| ~ spl72_123 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2434,plain,
( spl72_130
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2389,f2318,f1959,f1927,f2431]) ).
fof(f2389,plain,
( hd(sK20) = sK26(sK20)
| ~ spl72_92
| ~ spl72_94
| ~ spl72_125 ),
inference(forward_demodulation,[],[f2367,f1929]) ).
fof(f2367,plain,
( sK26(sK20) = hd(cons(sK26(sK20),sK25(sK20)))
| ~ spl72_94
| ~ spl72_125 ),
inference(resolution,[],[f2333,f1960]) ).
fof(f2353,plain,
( spl72_129
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2327,f2318,f2350]) ).
fof(f2350,plain,
( spl72_129
<=> sK25(sK20) = app(nil,sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_129])]) ).
fof(f2327,plain,
( sK25(sK20) = app(nil,sK25(sK20))
| ~ spl72_125 ),
inference(resolution,[],[f2319,f469]) ).
fof(f2348,plain,
( spl72_128
| ~ spl72_125 ),
inference(avatar_split_clause,[],[f2326,f2318,f2345]) ).
fof(f2345,plain,
( spl72_128
<=> sK25(sK20) = app(sK25(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_128])]) ).
fof(f2326,plain,
( sK25(sK20) = app(sK25(sK20),nil)
| ~ spl72_125 ),
inference(resolution,[],[f2319,f468]) ).
fof(f2343,plain,
( spl72_126
| spl72_127
| ~ spl72_124 ),
inference(avatar_split_clause,[],[f2334,f2311,f2340,f2336]) ).
fof(f2336,plain,
( spl72_126
<=> totalorderedP(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_126])]) ).
fof(f2334,plain,
( nil = sK25(sK20)
| totalorderedP(sK25(sK20))
| ~ spl72_124 ),
inference(resolution,[],[f2313,f446]) ).
fof(f2325,plain,
( ~ spl72_1
| spl72_26
| spl72_125 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2324,plain,
( $false
| ~ spl72_1
| spl72_26
| spl72_125 ),
inference(subsumption_resolution,[],[f2323,f618]) ).
fof(f2323,plain,
( ~ ssList(sK20)
| spl72_26
| spl72_125 ),
inference(subsumption_resolution,[],[f2322,f754]) ).
fof(f2322,plain,
( nil = sK20
| ~ ssList(sK20)
| spl72_125 ),
inference(resolution,[],[f2320,f470]) ).
fof(f2320,plain,
( ~ ssList(sK25(sK20))
| spl72_125 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2321,plain,
( ~ spl72_125
| ~ spl72_94
| spl72_123 ),
inference(avatar_split_clause,[],[f2316,f2307,f1959,f2318]) ).
fof(f2316,plain,
( ~ ssList(sK25(sK20))
| ~ spl72_94
| spl72_123 ),
inference(subsumption_resolution,[],[f2315,f1960]) ).
fof(f2315,plain,
( ~ ssList(sK25(sK20))
| ~ ssItem(sK26(sK20))
| spl72_123 ),
inference(resolution,[],[f2309,f450]) ).
fof(f2309,plain,
( ~ sP2(sK26(sK20),sK25(sK20))
| spl72_123 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2314,plain,
( ~ spl72_123
| spl72_124
| ~ spl72_40
| ~ spl72_92 ),
inference(avatar_split_clause,[],[f1945,f1927,f977,f2311,f2307]) ).
fof(f977,plain,
( spl72_40
<=> totalorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_40])]) ).
fof(f1945,plain,
( sP1(sK25(sK20),sK26(sK20))
| ~ sP2(sK26(sK20),sK25(sK20))
| ~ spl72_40
| ~ spl72_92 ),
inference(subsumption_resolution,[],[f1938,f979]) ).
fof(f979,plain,
( totalorderedP(sK20)
| ~ spl72_40 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1938,plain,
( ~ totalorderedP(sK20)
| sP1(sK25(sK20),sK26(sK20))
| ~ sP2(sK26(sK20),sK25(sK20))
| ~ spl72_92 ),
inference(superposition,[],[f443,f1929]) ).
fof(f2283,plain,
( spl72_122
| ~ spl72_75
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1815,f1802,f1639,f2280]) ).
fof(f2280,plain,
( spl72_122
<=> hd(sK20) = hd(cons(hd(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_122])]) ).
fof(f1639,plain,
( spl72_75
<=> sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_75])]) ).
fof(f1815,plain,
( hd(sK20) = hd(cons(hd(sK20),sK21))
| ~ spl72_75
| ~ spl72_87 ),
inference(superposition,[],[f1641,f1804]) ).
fof(f1641,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK21))
| ~ spl72_75 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f2278,plain,
( spl72_121
| ~ spl72_74
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1814,f1802,f1633,f2275]) ).
fof(f1633,plain,
( spl72_74
<=> sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_74])]) ).
fof(f1814,plain,
( hd(sK20) = hd(cons(hd(sK20),sK20))
| ~ spl72_74
| ~ spl72_87 ),
inference(superposition,[],[f1635,f1804]) ).
fof(f1635,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK20))
| ~ spl72_74 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f2224,plain,
( spl72_120
| ~ spl72_1
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2074,f2059,f616,f2221]) ).
fof(f2221,plain,
( spl72_120
<=> hd(sK21) = hd(cons(hd(sK21),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_120])]) ).
fof(f2074,plain,
( hd(sK21) = hd(cons(hd(sK21),sK20))
| ~ spl72_1
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1258]) ).
fof(f2219,plain,
( spl72_119
| ~ spl72_2
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2073,f2059,f621,f2216]) ).
fof(f2216,plain,
( spl72_119
<=> hd(sK21) = hd(cons(hd(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_119])]) ).
fof(f621,plain,
( spl72_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f2073,plain,
( hd(sK21) = hd(cons(hd(sK21),sK21))
| ~ spl72_2
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1259]) ).
fof(f1259,plain,
( ! [X10] :
( ~ ssItem(X10)
| hd(cons(X10,sK21)) = X10 )
| ~ spl72_2 ),
inference(resolution,[],[f572,f623]) ).
fof(f623,plain,
( ssList(sK21)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f2214,plain,
( spl72_118
| ~ spl72_14
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2071,f2059,f681,f2211]) ).
fof(f2211,plain,
( spl72_118
<=> hd(sK21) = hd(cons(hd(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_118])]) ).
fof(f2071,plain,
( hd(sK21) = hd(cons(hd(sK21),nil))
| ~ spl72_14
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1256]) ).
fof(f1256,plain,
( ! [X6] :
( ~ ssItem(X6)
| hd(cons(X6,nil)) = X6 )
| ~ spl72_14 ),
inference(resolution,[],[f572,f683]) ).
fof(f2209,plain,
( spl72_117
| ~ spl72_1
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2040,f1978,f616,f2206]) ).
fof(f2206,plain,
( spl72_117
<=> sK26(sK21) = hd(cons(sK26(sK21),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_117])]) ).
fof(f2040,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK20))
| ~ spl72_1
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1258]) ).
fof(f2204,plain,
( spl72_116
| ~ spl72_2
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2039,f1978,f621,f2201]) ).
fof(f2201,plain,
( spl72_116
<=> sK26(sK21) = hd(cons(sK26(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_116])]) ).
fof(f2039,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK21))
| ~ spl72_2
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1259]) ).
fof(f2199,plain,
( spl72_115
| ~ spl72_14
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2037,f1978,f681,f2196]) ).
fof(f2196,plain,
( spl72_115
<=> sK26(sK21) = hd(cons(sK26(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_115])]) ).
fof(f2037,plain,
( sK26(sK21) = hd(cons(sK26(sK21),nil))
| ~ spl72_14
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1256]) ).
fof(f2194,plain,
( spl72_114
| ~ spl72_1
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1974,f1959,f616,f2191]) ).
fof(f2191,plain,
( spl72_114
<=> sK26(sK20) = hd(cons(sK26(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_114])]) ).
fof(f1974,plain,
( sK26(sK20) = hd(cons(sK26(sK20),sK20))
| ~ spl72_1
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1258]) ).
fof(f2189,plain,
( spl72_113
| ~ spl72_2
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1973,f1959,f621,f2186]) ).
fof(f2186,plain,
( spl72_113
<=> sK26(sK20) = hd(cons(sK26(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_113])]) ).
fof(f1973,plain,
( sK26(sK20) = hd(cons(sK26(sK20),sK21))
| ~ spl72_2
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1259]) ).
fof(f2184,plain,
( spl72_112
| ~ spl72_14
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1971,f1959,f681,f2181]) ).
fof(f2181,plain,
( spl72_112
<=> sK26(sK20) = hd(cons(sK26(sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_112])]) ).
fof(f1971,plain,
( sK26(sK20) = hd(cons(sK26(sK20),nil))
| ~ spl72_14
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1256]) ).
fof(f2150,plain,
( spl72_111
| ~ spl72_14
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1734,f691,f681,f2147]) ).
fof(f2147,plain,
( spl72_111
<=> sK71 = hd(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_111])]) ).
fof(f1734,plain,
( sK71 = hd(cons(sK71,nil))
| ~ spl72_14
| ~ spl72_16 ),
inference(resolution,[],[f1256,f693]) ).
fof(f2145,plain,
( spl72_110
| ~ spl72_14
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1733,f686,f681,f2142]) ).
fof(f2142,plain,
( spl72_110
<=> sK70 = hd(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_110])]) ).
fof(f1733,plain,
( sK70 = hd(cons(sK70,nil))
| ~ spl72_14
| ~ spl72_15 ),
inference(resolution,[],[f1256,f688]) ).
fof(f2126,plain,
( spl72_109
| ~ spl72_1
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2076,f2059,f616,f2123]) ).
fof(f2123,plain,
( spl72_109
<=> sK20 = tl(cons(hd(sK21),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_109])]) ).
fof(f2076,plain,
( sK20 = tl(cons(hd(sK21),sK20))
| ~ spl72_1
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1185]) ).
fof(f2121,plain,
( spl72_108
| ~ spl72_2
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2075,f2059,f621,f2118]) ).
fof(f2118,plain,
( spl72_108
<=> sK21 = tl(cons(hd(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_108])]) ).
fof(f2075,plain,
( sK21 = tl(cons(hd(sK21),sK21))
| ~ spl72_2
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1186]) ).
fof(f1186,plain,
( ! [X10] :
( ~ ssItem(X10)
| sK21 = tl(cons(X10,sK21)) )
| ~ spl72_2 ),
inference(resolution,[],[f571,f623]) ).
fof(f2116,plain,
( spl72_107
| ~ spl72_14
| ~ spl72_99 ),
inference(avatar_split_clause,[],[f2072,f2059,f681,f2113]) ).
fof(f2113,plain,
( spl72_107
<=> nil = tl(cons(hd(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_107])]) ).
fof(f2072,plain,
( nil = tl(cons(hd(sK21),nil))
| ~ spl72_14
| ~ spl72_99 ),
inference(resolution,[],[f2060,f1183]) ).
fof(f1183,plain,
( ! [X6] :
( ~ ssItem(X6)
| nil = tl(cons(X6,nil)) )
| ~ spl72_14 ),
inference(resolution,[],[f571,f683]) ).
fof(f2111,plain,
( spl72_106
| ~ spl72_1
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2042,f1978,f616,f2108]) ).
fof(f2108,plain,
( spl72_106
<=> sK20 = tl(cons(sK26(sK21),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_106])]) ).
fof(f2042,plain,
( sK20 = tl(cons(sK26(sK21),sK20))
| ~ spl72_1
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1185]) ).
fof(f2106,plain,
( spl72_105
| ~ spl72_2
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2041,f1978,f621,f2103]) ).
fof(f2103,plain,
( spl72_105
<=> sK21 = tl(cons(sK26(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_105])]) ).
fof(f2041,plain,
( sK21 = tl(cons(sK26(sK21),sK21))
| ~ spl72_2
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1186]) ).
fof(f2101,plain,
( spl72_104
| ~ spl72_14
| ~ spl72_96 ),
inference(avatar_split_clause,[],[f2038,f1978,f681,f2098]) ).
fof(f2098,plain,
( spl72_104
<=> nil = tl(cons(sK26(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_104])]) ).
fof(f2038,plain,
( nil = tl(cons(sK26(sK21),nil))
| ~ spl72_14
| ~ spl72_96 ),
inference(resolution,[],[f1979,f1183]) ).
fof(f2096,plain,
( spl72_103
| ~ spl72_1
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1976,f1959,f616,f2093]) ).
fof(f2093,plain,
( spl72_103
<=> sK20 = tl(cons(sK26(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_103])]) ).
fof(f1976,plain,
( sK20 = tl(cons(sK26(sK20),sK20))
| ~ spl72_1
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1185]) ).
fof(f2091,plain,
( spl72_102
| ~ spl72_2
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1975,f1959,f621,f2088]) ).
fof(f2088,plain,
( spl72_102
<=> sK21 = tl(cons(sK26(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_102])]) ).
fof(f1975,plain,
( sK21 = tl(cons(sK26(sK20),sK21))
| ~ spl72_2
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1186]) ).
fof(f2081,plain,
( spl72_101
| ~ spl72_14
| ~ spl72_94 ),
inference(avatar_split_clause,[],[f1972,f1959,f681,f2078]) ).
fof(f2078,plain,
( spl72_101
<=> nil = tl(cons(sK26(sK20),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_101])]) ).
fof(f1972,plain,
( nil = tl(cons(sK26(sK20),nil))
| ~ spl72_14
| ~ spl72_94 ),
inference(resolution,[],[f1960,f1183]) ).
fof(f2070,plain,
( ~ spl72_2
| spl72_22
| spl72_99 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| ~ spl72_2
| spl72_22
| spl72_99 ),
inference(subsumption_resolution,[],[f2068,f623]) ).
fof(f2068,plain,
( ~ ssList(sK21)
| spl72_22
| spl72_99 ),
inference(subsumption_resolution,[],[f2067,f730]) ).
fof(f730,plain,
( nil != sK21
| spl72_22 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl72_22
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f2067,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_99 ),
inference(resolution,[],[f2061,f473]) ).
fof(f2061,plain,
( ~ ssItem(hd(sK21))
| spl72_99 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f2066,plain,
( ~ spl72_99
| ~ spl72_100
| ~ spl72_2
| ~ spl72_98 ),
inference(avatar_split_clause,[],[f2057,f2044,f621,f2063,f2059]) ).
fof(f2063,plain,
( spl72_100
<=> sK21 = tl(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_100])]) ).
fof(f2044,plain,
( spl72_98
<=> sK21 = cons(hd(sK21),tl(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_98])]) ).
fof(f2057,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ spl72_2
| ~ spl72_98 ),
inference(subsumption_resolution,[],[f2056,f623]) ).
fof(f2056,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(sK21)
| ~ spl72_98 ),
inference(inner_rewriting,[],[f2055]) ).
fof(f2055,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(tl(sK21))
| ~ spl72_98 ),
inference(superposition,[],[f570,f2046]) ).
fof(f2046,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_98 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f2048,plain,
( spl72_98
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(avatar_split_clause,[],[f2032,f729,f696,f631,f2044]) ).
fof(f631,plain,
( spl72_4
<=> ssList(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f696,plain,
( spl72_17
<=> sK21 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f2032,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(forward_demodulation,[],[f2031,f698]) ).
fof(f698,plain,
( sK21 = sK23
| ~ spl72_17 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f2031,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(subsumption_resolution,[],[f2030,f730]) ).
fof(f2030,plain,
( nil = sK21
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1993,f698]) ).
fof(f1993,plain,
( nil = sK23
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_4 ),
inference(resolution,[],[f475,f633]) ).
fof(f633,plain,
( ssList(sK23)
| ~ spl72_4 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f2047,plain,
( spl72_98
| ~ spl72_2
| spl72_22 ),
inference(avatar_split_clause,[],[f2025,f729,f621,f2044]) ).
fof(f2025,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_2
| spl72_22 ),
inference(subsumption_resolution,[],[f1991,f730]) ).
fof(f1991,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_2 ),
inference(resolution,[],[f475,f623]) ).
fof(f2036,plain,
( ~ spl72_2
| spl72_22
| spl72_96 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
fof(f2035,plain,
( $false
| ~ spl72_2
| spl72_22
| spl72_96 ),
inference(subsumption_resolution,[],[f2034,f623]) ).
fof(f2034,plain,
( ~ ssList(sK21)
| spl72_22
| spl72_96 ),
inference(subsumption_resolution,[],[f2033,f730]) ).
fof(f2033,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_96 ),
inference(resolution,[],[f1980,f471]) ).
fof(f1980,plain,
( ~ ssItem(sK26(sK21))
| spl72_96 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f1985,plain,
( ~ spl72_96
| ~ spl72_97
| ~ spl72_2
| ~ spl72_93 ),
inference(avatar_split_clause,[],[f1957,f1932,f621,f1982,f1978]) ).
fof(f1982,plain,
( spl72_97
<=> sK21 = sK25(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_97])]) ).
fof(f1932,plain,
( spl72_93
<=> sK21 = cons(sK26(sK21),sK25(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f1957,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ spl72_2
| ~ spl72_93 ),
inference(subsumption_resolution,[],[f1956,f623]) ).
fof(f1956,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK21)
| ~ spl72_93 ),
inference(inner_rewriting,[],[f1955]) ).
fof(f1955,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK25(sK21))
| ~ spl72_93 ),
inference(superposition,[],[f570,f1934]) ).
fof(f1934,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_93 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1970,plain,
( ~ spl72_1
| spl72_26
| spl72_94 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
fof(f1969,plain,
( $false
| ~ spl72_1
| spl72_26
| spl72_94 ),
inference(subsumption_resolution,[],[f1968,f618]) ).
fof(f1968,plain,
( ~ ssList(sK20)
| spl72_26
| spl72_94 ),
inference(subsumption_resolution,[],[f1967,f754]) ).
fof(f1967,plain,
( nil = sK20
| ~ ssList(sK20)
| spl72_94 ),
inference(resolution,[],[f1961,f471]) ).
fof(f1961,plain,
( ~ ssItem(sK26(sK20))
| spl72_94 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1966,plain,
( ~ spl72_94
| ~ spl72_95
| ~ spl72_1
| ~ spl72_92 ),
inference(avatar_split_clause,[],[f1948,f1927,f616,f1963,f1959]) ).
fof(f1963,plain,
( spl72_95
<=> sK20 = sK25(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_95])]) ).
fof(f1948,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ spl72_1
| ~ spl72_92 ),
inference(subsumption_resolution,[],[f1947,f618]) ).
fof(f1947,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK20)
| ~ spl72_92 ),
inference(inner_rewriting,[],[f1944]) ).
fof(f1944,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK25(sK20))
| ~ spl72_92 ),
inference(superposition,[],[f570,f1929]) ).
fof(f1937,plain,
( spl72_93
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(avatar_split_clause,[],[f1925,f729,f696,f631,f1932]) ).
fof(f1925,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(forward_demodulation,[],[f1924,f698]) ).
fof(f1924,plain,
( sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(subsumption_resolution,[],[f1923,f730]) ).
fof(f1923,plain,
( nil = sK21
| sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1888,f698]) ).
fof(f1888,plain,
( nil = sK23
| sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_4 ),
inference(resolution,[],[f472,f633]) ).
fof(f1936,plain,
( spl72_92
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(avatar_split_clause,[],[f1922,f753,f701,f626,f1927]) ).
fof(f626,plain,
( spl72_3
<=> ssList(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f701,plain,
( spl72_18
<=> sK20 = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1922,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(forward_demodulation,[],[f1921,f703]) ).
fof(f703,plain,
( sK20 = sK22
| ~ spl72_18 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1921,plain,
( sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(subsumption_resolution,[],[f1920,f754]) ).
fof(f1920,plain,
( nil = sK20
| sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_3
| ~ spl72_18 ),
inference(forward_demodulation,[],[f1887,f703]) ).
fof(f1887,plain,
( nil = sK22
| sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_3 ),
inference(resolution,[],[f472,f628]) ).
fof(f628,plain,
( ssList(sK22)
| ~ spl72_3 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1935,plain,
( spl72_93
| ~ spl72_2
| spl72_22 ),
inference(avatar_split_clause,[],[f1919,f729,f621,f1932]) ).
fof(f1919,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_2
| spl72_22 ),
inference(subsumption_resolution,[],[f1886,f730]) ).
fof(f1886,plain,
( nil = sK21
| sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_2 ),
inference(resolution,[],[f472,f623]) ).
fof(f1930,plain,
( spl72_92
| ~ spl72_1
| spl72_26 ),
inference(avatar_split_clause,[],[f1918,f753,f616,f1927]) ).
fof(f1877,plain,
( spl72_91
| ~ spl72_62
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1813,f1802,f1431,f1874]) ).
fof(f1874,plain,
( spl72_91
<=> sK21 = tl(cons(hd(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_91])]) ).
fof(f1431,plain,
( spl72_62
<=> sK21 = tl(cons(sK19(sK21,sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f1813,plain,
( sK21 = tl(cons(hd(sK20),sK21))
| ~ spl72_62
| ~ spl72_87 ),
inference(superposition,[],[f1433,f1804]) ).
fof(f1433,plain,
( sK21 = tl(cons(sK19(sK21,sK20),sK21))
| ~ spl72_62 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1872,plain,
( spl72_90
| ~ spl72_61
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1812,f1802,f1426,f1869]) ).
fof(f1426,plain,
( spl72_61
<=> sK20 = tl(cons(sK19(sK21,sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f1812,plain,
( sK20 = tl(cons(hd(sK20),sK20))
| ~ spl72_61
| ~ spl72_87 ),
inference(superposition,[],[f1428,f1804]) ).
fof(f1428,plain,
( sK20 = tl(cons(sK19(sK21,sK20),sK20))
| ~ spl72_61 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1852,plain,
( spl72_89
| ~ spl72_32
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1806,f1802,f919,f1849]) ).
fof(f1806,plain,
( sK20 = cons(hd(sK20),nil)
| ~ spl72_32
| ~ spl72_87 ),
inference(superposition,[],[f921,f1804]) ).
fof(f1823,plain,
( spl72_88
| ~ spl72_23
| ~ spl72_87 ),
inference(avatar_split_clause,[],[f1818,f1802,f733,f1820]) ).
fof(f1820,plain,
( spl72_88
<=> memberP(sK21,hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f733,plain,
( spl72_23
<=> sP0(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_23])]) ).
fof(f1818,plain,
( memberP(sK21,hd(sK20))
| ~ spl72_23
| ~ spl72_87 ),
inference(subsumption_resolution,[],[f1816,f735]) ).
fof(f735,plain,
( sP0(sK21,sK20)
| ~ spl72_23 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f1816,plain,
( memberP(sK21,hd(sK20))
| ~ sP0(sK21,sK20)
| ~ spl72_87 ),
inference(superposition,[],[f385,f1804]) ).
fof(f1805,plain,
( spl72_87
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1735,f934,f919,f681,f1802]) ).
fof(f1735,plain,
( sK19(sK21,sK20) = hd(sK20)
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(forward_demodulation,[],[f1713,f921]) ).
fof(f1713,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),nil))
| ~ spl72_14
| ~ spl72_33 ),
inference(resolution,[],[f1256,f935]) ).
fof(f1796,plain,
( spl72_86
| ~ spl72_5
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1714,f681,f636,f1793]) ).
fof(f1793,plain,
( spl72_86
<=> sK24 = hd(cons(sK24,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_86])]) ).
fof(f1714,plain,
( sK24 = hd(cons(sK24,nil))
| ~ spl72_5
| ~ spl72_14 ),
inference(resolution,[],[f1256,f638]) ).
fof(f1787,plain,
( spl72_85
| ~ spl72_71
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1749,f1738,f1524,f1784]) ).
fof(f1784,plain,
( spl72_85
<=> sP3(nil,hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_85])]) ).
fof(f1524,plain,
( spl72_71
<=> sP3(nil,sK29(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_71])]) ).
fof(f1749,plain,
( sP3(nil,hd(sK20))
| ~ spl72_71
| ~ spl72_80 ),
inference(superposition,[],[f1526,f1740]) ).
fof(f1526,plain,
( sP3(nil,sK29(sK20))
| ~ spl72_71 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1781,plain,
( spl72_84
| ~ spl72_70
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1748,f1738,f1520,f1778]) ).
fof(f1778,plain,
( spl72_84
<=> sP4(hd(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_84])]) ).
fof(f1520,plain,
( spl72_70
<=> sP4(sK29(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_70])]) ).
fof(f1748,plain,
( sP4(hd(sK20),nil)
| ~ spl72_70
| ~ spl72_80 ),
inference(superposition,[],[f1521,f1740]) ).
fof(f1521,plain,
( sP4(sK29(sK20),nil)
| ~ spl72_70 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1776,plain,
( spl72_83
| ~ spl72_66
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1744,f1738,f1480,f1773]) ).
fof(f1773,plain,
( spl72_83
<=> sP1(nil,hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_83])]) ).
fof(f1480,plain,
( spl72_66
<=> sP1(nil,sK29(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_66])]) ).
fof(f1744,plain,
( sP1(nil,hd(sK20))
| ~ spl72_66
| ~ spl72_80 ),
inference(superposition,[],[f1482,f1740]) ).
fof(f1482,plain,
( sP1(nil,sK29(sK20))
| ~ spl72_66 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1771,plain,
( spl72_82
| ~ spl72_65
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1743,f1738,f1476,f1768]) ).
fof(f1768,plain,
( spl72_82
<=> sP2(hd(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_82])]) ).
fof(f1476,plain,
( spl72_65
<=> sP2(sK29(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_65])]) ).
fof(f1743,plain,
( sP2(hd(sK20),nil)
| ~ spl72_65
| ~ spl72_80 ),
inference(superposition,[],[f1477,f1740]) ).
fof(f1477,plain,
( sP2(sK29(sK20),nil)
| ~ spl72_65 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1760,plain,
( spl72_81
| ~ spl72_1
| ~ spl72_63
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1754,f1738,f1447,f616,f1756]) ).
fof(f1447,plain,
( spl72_63
<=> singletonP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f1754,plain,
( ssItem(hd(sK20))
| ~ spl72_1
| ~ spl72_63
| ~ spl72_80 ),
inference(subsumption_resolution,[],[f1753,f618]) ).
fof(f1753,plain,
( ssItem(hd(sK20))
| ~ ssList(sK20)
| ~ spl72_63
| ~ spl72_80 ),
inference(subsumption_resolution,[],[f1752,f1449]) ).
fof(f1449,plain,
( singletonP(sK20)
| ~ spl72_63 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1752,plain,
( ssItem(hd(sK20))
| ~ singletonP(sK20)
| ~ ssList(sK20)
| ~ spl72_80 ),
inference(superposition,[],[f480,f1740]) ).
fof(f1759,plain,
( spl72_81
| ~ spl72_67
| ~ spl72_80 ),
inference(avatar_split_clause,[],[f1745,f1738,f1487,f1756]) ).
fof(f1745,plain,
( ssItem(hd(sK20))
| ~ spl72_67
| ~ spl72_80 ),
inference(superposition,[],[f1488,f1740]) ).
fof(f1741,plain,
( spl72_80
| ~ spl72_14
| ~ spl72_64
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1736,f1487,f1454,f681,f1738]) ).
fof(f1454,plain,
( spl72_64
<=> sK20 = cons(sK29(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_64])]) ).
fof(f1736,plain,
( hd(sK20) = sK29(sK20)
| ~ spl72_14
| ~ spl72_64
| ~ spl72_67 ),
inference(forward_demodulation,[],[f1718,f1456]) ).
fof(f1456,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ spl72_64 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1718,plain,
( sK29(sK20) = hd(cons(sK29(sK20),nil))
| ~ spl72_14
| ~ spl72_67 ),
inference(resolution,[],[f1256,f1488]) ).
fof(f1696,plain,
( spl72_79
| ~ spl72_14
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1672,f691,f681,f1693]) ).
fof(f1693,plain,
( spl72_79
<=> nil = tl(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_79])]) ).
fof(f1672,plain,
( nil = tl(cons(sK71,nil))
| ~ spl72_14
| ~ spl72_16 ),
inference(resolution,[],[f1183,f693]) ).
fof(f1691,plain,
( spl72_78
| ~ spl72_14
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1671,f686,f681,f1688]) ).
fof(f1688,plain,
( spl72_78
<=> nil = tl(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_78])]) ).
fof(f1671,plain,
( nil = tl(cons(sK70,nil))
| ~ spl72_14
| ~ spl72_15 ),
inference(resolution,[],[f1183,f688]) ).
fof(f1685,plain,
( spl72_77
| ~ spl72_5
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1652,f681,f636,f1682]) ).
fof(f1682,plain,
( spl72_77
<=> nil = tl(cons(sK24,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_77])]) ).
fof(f1652,plain,
( nil = tl(cons(sK24,nil))
| ~ spl72_5
| ~ spl72_14 ),
inference(resolution,[],[f1183,f638]) ).
fof(f1679,plain,
( spl72_76
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1673,f934,f919,f681,f1676]) ).
fof(f1673,plain,
( nil = tl(sK20)
| ~ spl72_14
| ~ spl72_32
| ~ spl72_33 ),
inference(forward_demodulation,[],[f1651,f921]) ).
fof(f1651,plain,
( nil = tl(cons(sK19(sK21,sK20),nil))
| ~ spl72_14
| ~ spl72_33 ),
inference(resolution,[],[f1183,f935]) ).
fof(f1642,plain,
( spl72_75
| ~ spl72_2
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1377,f934,f621,f1639]) ).
fof(f1377,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK21))
| ~ spl72_2
| ~ spl72_33 ),
inference(resolution,[],[f1259,f935]) ).
fof(f1636,plain,
( spl72_74
| ~ spl72_1
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1329,f934,f616,f1633]) ).
fof(f1329,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK20))
| ~ spl72_1
| ~ spl72_33 ),
inference(resolution,[],[f1258,f935]) ).
fof(f1543,plain,
( spl72_73
| ~ spl72_1
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1496,f1487,f616,f1540]) ).
fof(f1540,plain,
( spl72_73
<=> sK29(sK20) = hd(cons(sK29(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_73])]) ).
fof(f1496,plain,
( sK29(sK20) = hd(cons(sK29(sK20),sK20))
| ~ spl72_1
| ~ spl72_67 ),
inference(resolution,[],[f1488,f1258]) ).
fof(f1538,plain,
( spl72_72
| ~ spl72_2
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1495,f1487,f621,f1535]) ).
fof(f1535,plain,
( spl72_72
<=> sK29(sK20) = hd(cons(sK29(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_72])]) ).
fof(f1495,plain,
( sK29(sK20) = hd(cons(sK29(sK20),sK21))
| ~ spl72_2
| ~ spl72_67 ),
inference(resolution,[],[f1488,f1259]) ).
fof(f1531,plain,
( ~ spl72_14
| ~ spl72_67
| spl72_70 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl72_14
| ~ spl72_67
| spl72_70 ),
inference(subsumption_resolution,[],[f1529,f1488]) ).
fof(f1529,plain,
( ~ ssItem(sK29(sK20))
| ~ spl72_14
| spl72_70 ),
inference(subsumption_resolution,[],[f1528,f683]) ).
fof(f1528,plain,
( ~ ssList(nil)
| ~ ssItem(sK29(sK20))
| spl72_70 ),
inference(resolution,[],[f1522,f458]) ).
fof(f1522,plain,
( ~ sP4(sK29(sK20),nil)
| spl72_70 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1527,plain,
( ~ spl72_70
| spl72_71
| ~ spl72_39
| ~ spl72_64 ),
inference(avatar_split_clause,[],[f1474,f1454,f971,f1524,f1520]) ).
fof(f1474,plain,
( sP3(nil,sK29(sK20))
| ~ sP4(sK29(sK20),nil)
| ~ spl72_39
| ~ spl72_64 ),
inference(subsumption_resolution,[],[f1468,f973]) ).
fof(f1468,plain,
( ~ strictorderedP(sK20)
| sP3(nil,sK29(sK20))
| ~ sP4(sK29(sK20),nil)
| ~ spl72_64 ),
inference(superposition,[],[f451,f1456]) ).
fof(f1516,plain,
( spl72_69
| ~ spl72_1
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1498,f1487,f616,f1513]) ).
fof(f1513,plain,
( spl72_69
<=> sK20 = tl(cons(sK29(sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_69])]) ).
fof(f1498,plain,
( sK20 = tl(cons(sK29(sK20),sK20))
| ~ spl72_1
| ~ spl72_67 ),
inference(resolution,[],[f1488,f1185]) ).
fof(f1511,plain,
( spl72_68
| ~ spl72_2
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1497,f1487,f621,f1508]) ).
fof(f1508,plain,
( spl72_68
<=> sK21 = tl(cons(sK29(sK20),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_68])]) ).
fof(f1497,plain,
( sK21 = tl(cons(sK29(sK20),sK21))
| ~ spl72_2
| ~ spl72_67 ),
inference(resolution,[],[f1488,f1186]) ).
fof(f1494,plain,
( ~ spl72_1
| ~ spl72_63
| spl72_67 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1493,plain,
( $false
| ~ spl72_1
| ~ spl72_63
| spl72_67 ),
inference(subsumption_resolution,[],[f1492,f618]) ).
fof(f1492,plain,
( ~ ssList(sK20)
| ~ spl72_63
| spl72_67 ),
inference(subsumption_resolution,[],[f1491,f1449]) ).
fof(f1491,plain,
( ~ singletonP(sK20)
| ~ ssList(sK20)
| spl72_67 ),
inference(resolution,[],[f1489,f480]) ).
fof(f1489,plain,
( ~ ssItem(sK29(sK20))
| spl72_67 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1490,plain,
( ~ spl72_67
| ~ spl72_14
| spl72_65 ),
inference(avatar_split_clause,[],[f1485,f1476,f681,f1487]) ).
fof(f1485,plain,
( ~ ssItem(sK29(sK20))
| ~ spl72_14
| spl72_65 ),
inference(subsumption_resolution,[],[f1484,f683]) ).
fof(f1484,plain,
( ~ ssList(nil)
| ~ ssItem(sK29(sK20))
| spl72_65 ),
inference(resolution,[],[f1478,f450]) ).
fof(f1478,plain,
( ~ sP2(sK29(sK20),nil)
| spl72_65 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1483,plain,
( ~ spl72_65
| spl72_66
| ~ spl72_40
| ~ spl72_64 ),
inference(avatar_split_clause,[],[f1473,f1454,f977,f1480,f1476]) ).
fof(f1473,plain,
( sP1(nil,sK29(sK20))
| ~ sP2(sK29(sK20),nil)
| ~ spl72_40
| ~ spl72_64 ),
inference(subsumption_resolution,[],[f1466,f979]) ).
fof(f1466,plain,
( ~ totalorderedP(sK20)
| sP1(nil,sK29(sK20))
| ~ sP2(sK29(sK20),nil)
| ~ spl72_64 ),
inference(superposition,[],[f443,f1456]) ).
fof(f1457,plain,
( spl72_64
| ~ spl72_1
| ~ spl72_63 ),
inference(avatar_split_clause,[],[f1452,f1447,f616,f1454]) ).
fof(f1452,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ spl72_1
| ~ spl72_63 ),
inference(subsumption_resolution,[],[f1451,f618]) ).
fof(f1451,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ ssList(sK20)
| ~ spl72_63 ),
inference(resolution,[],[f1449,f481]) ).
fof(f1450,plain,
( spl72_63
| ~ spl72_1
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1445,f934,f919,f616,f1447]) ).
fof(f1445,plain,
( singletonP(sK20)
| ~ spl72_1
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f1444,f618]) ).
fof(f1444,plain,
( singletonP(sK20)
| ~ ssList(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(equality_resolution,[],[f1443]) ).
fof(f1443,plain,
( ! [X0] :
( sK20 != X0
| singletonP(X0)
| ~ ssList(X0) )
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f1441,f935]) ).
fof(f1441,plain,
( ! [X0] :
( sK20 != X0
| singletonP(X0)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssList(X0) )
| ~ spl72_32 ),
inference(superposition,[],[f482,f921]) ).
fof(f1434,plain,
( spl72_62
| ~ spl72_2
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1288,f934,f621,f1431]) ).
fof(f1288,plain,
( sK21 = tl(cons(sK19(sK21,sK20),sK21))
| ~ spl72_2
| ~ spl72_33 ),
inference(resolution,[],[f1186,f935]) ).
fof(f1429,plain,
( spl72_61
| ~ spl72_1
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1215,f934,f616,f1426]) ).
fof(f1215,plain,
( sK20 = tl(cons(sK19(sK21,sK20),sK20))
| ~ spl72_1
| ~ spl72_33 ),
inference(resolution,[],[f1185,f935]) ).
fof(f1412,plain,
( spl72_60
| ~ spl72_2
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1397,f691,f621,f1409]) ).
fof(f1409,plain,
( spl72_60
<=> sK71 = hd(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_60])]) ).
fof(f1397,plain,
( sK71 = hd(cons(sK71,sK21))
| ~ spl72_2
| ~ spl72_16 ),
inference(resolution,[],[f1259,f693]) ).
fof(f1407,plain,
( spl72_59
| ~ spl72_2
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1396,f686,f621,f1404]) ).
fof(f1404,plain,
( spl72_59
<=> sK70 = hd(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_59])]) ).
fof(f1396,plain,
( sK70 = hd(cons(sK70,sK21))
| ~ spl72_2
| ~ spl72_15 ),
inference(resolution,[],[f1259,f688]) ).
fof(f1402,plain,
( spl72_58
| ~ spl72_2
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f1378,f636,f621,f1399]) ).
fof(f1399,plain,
( spl72_58
<=> sK24 = hd(cons(sK24,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_58])]) ).
fof(f1378,plain,
( sK24 = hd(cons(sK24,sK21))
| ~ spl72_2
| ~ spl72_5 ),
inference(resolution,[],[f1259,f638]) ).
fof(f1365,plain,
( spl72_57
| ~ spl72_1
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1349,f691,f616,f1362]) ).
fof(f1349,plain,
( sK71 = hd(cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_16 ),
inference(resolution,[],[f1258,f693]) ).
fof(f1360,plain,
( spl72_56
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1348,f686,f616,f1357]) ).
fof(f1348,plain,
( sK70 = hd(cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f1258,f688]) ).
fof(f1354,plain,
( spl72_55
| ~ spl72_1
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f1330,f636,f616,f1351]) ).
fof(f1330,plain,
( sK24 = hd(cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_5 ),
inference(resolution,[],[f1258,f638]) ).
fof(f1323,plain,
( spl72_54
| ~ spl72_2
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1308,f691,f621,f1320]) ).
fof(f1320,plain,
( spl72_54
<=> sK21 = tl(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_54])]) ).
fof(f1308,plain,
( sK21 = tl(cons(sK71,sK21))
| ~ spl72_2
| ~ spl72_16 ),
inference(resolution,[],[f1186,f693]) ).
fof(f1318,plain,
( spl72_53
| ~ spl72_2
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1307,f686,f621,f1315]) ).
fof(f1315,plain,
( spl72_53
<=> sK21 = tl(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_53])]) ).
fof(f1307,plain,
( sK21 = tl(cons(sK70,sK21))
| ~ spl72_2
| ~ spl72_15 ),
inference(resolution,[],[f1186,f688]) ).
fof(f1313,plain,
( spl72_52
| ~ spl72_2
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f1289,f636,f621,f1310]) ).
fof(f1310,plain,
( spl72_52
<=> sK21 = tl(cons(sK24,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_52])]) ).
fof(f1289,plain,
( sK21 = tl(cons(sK24,sK21))
| ~ spl72_2
| ~ spl72_5 ),
inference(resolution,[],[f1186,f638]) ).
fof(f1250,plain,
( spl72_51
| ~ spl72_1
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f1235,f691,f616,f1247]) ).
fof(f1235,plain,
( sK20 = tl(cons(sK71,sK20))
| ~ spl72_1
| ~ spl72_16 ),
inference(resolution,[],[f1185,f693]) ).
fof(f1245,plain,
( spl72_50
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1234,f686,f616,f1242]) ).
fof(f1234,plain,
( sK20 = tl(cons(sK70,sK20))
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f1185,f688]) ).
fof(f1240,plain,
( spl72_49
| ~ spl72_1
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f1216,f636,f616,f1237]) ).
fof(f1216,plain,
( sK20 = tl(cons(sK24,sK20))
| ~ spl72_1
| ~ spl72_5 ),
inference(resolution,[],[f1185,f638]) ).
fof(f1178,plain,
( spl72_48
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(avatar_split_clause,[],[f1166,f729,f696,f631,f1173]) ).
fof(f1173,plain,
( spl72_48
<=> tl(sK21) = sK28(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_48])]) ).
fof(f1166,plain,
( tl(sK21) = sK28(sK21)
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(forward_demodulation,[],[f1165,f698]) ).
fof(f1165,plain,
( tl(sK23) = sK28(sK23)
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(subsumption_resolution,[],[f1164,f730]) ).
fof(f1164,plain,
( nil = sK21
| tl(sK23) = sK28(sK23)
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1135,f698]) ).
fof(f1135,plain,
( nil = sK23
| tl(sK23) = sK28(sK23)
| ~ spl72_4 ),
inference(resolution,[],[f479,f633]) ).
fof(f1177,plain,
( spl72_47
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(avatar_split_clause,[],[f1163,f753,f701,f626,f1168]) ).
fof(f1168,plain,
( spl72_47
<=> tl(sK20) = sK28(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_47])]) ).
fof(f1163,plain,
( tl(sK20) = sK28(sK20)
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(forward_demodulation,[],[f1162,f703]) ).
fof(f1162,plain,
( tl(sK22) = sK28(sK22)
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(subsumption_resolution,[],[f1161,f754]) ).
fof(f1161,plain,
( nil = sK20
| tl(sK22) = sK28(sK22)
| ~ spl72_3
| ~ spl72_18 ),
inference(forward_demodulation,[],[f1134,f703]) ).
fof(f1134,plain,
( nil = sK22
| tl(sK22) = sK28(sK22)
| ~ spl72_3 ),
inference(resolution,[],[f479,f628]) ).
fof(f1176,plain,
( spl72_48
| ~ spl72_2
| spl72_22 ),
inference(avatar_split_clause,[],[f1160,f729,f621,f1173]) ).
fof(f1160,plain,
( tl(sK21) = sK28(sK21)
| ~ spl72_2
| spl72_22 ),
inference(subsumption_resolution,[],[f1133,f730]) ).
fof(f1133,plain,
( nil = sK21
| tl(sK21) = sK28(sK21)
| ~ spl72_2 ),
inference(resolution,[],[f479,f623]) ).
fof(f1171,plain,
( spl72_47
| ~ spl72_1
| spl72_26 ),
inference(avatar_split_clause,[],[f1159,f753,f616,f1168]) ).
fof(f1125,plain,
( spl72_46
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(avatar_split_clause,[],[f1113,f729,f696,f631,f1120]) ).
fof(f1120,plain,
( spl72_46
<=> hd(sK21) = sK27(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f1113,plain,
( hd(sK21) = sK27(sK21)
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(forward_demodulation,[],[f1112,f698]) ).
fof(f1112,plain,
( hd(sK23) = sK27(sK23)
| ~ spl72_4
| ~ spl72_17
| spl72_22 ),
inference(subsumption_resolution,[],[f1111,f730]) ).
fof(f1111,plain,
( nil = sK21
| hd(sK23) = sK27(sK23)
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1082,f698]) ).
fof(f1082,plain,
( nil = sK23
| hd(sK23) = sK27(sK23)
| ~ spl72_4 ),
inference(resolution,[],[f477,f633]) ).
fof(f1124,plain,
( spl72_45
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(avatar_split_clause,[],[f1110,f753,f701,f626,f1115]) ).
fof(f1115,plain,
( spl72_45
<=> hd(sK20) = sK27(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_45])]) ).
fof(f1110,plain,
( hd(sK20) = sK27(sK20)
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(forward_demodulation,[],[f1109,f703]) ).
fof(f1109,plain,
( hd(sK22) = sK27(sK22)
| ~ spl72_3
| ~ spl72_18
| spl72_26 ),
inference(subsumption_resolution,[],[f1108,f754]) ).
fof(f1108,plain,
( nil = sK20
| hd(sK22) = sK27(sK22)
| ~ spl72_3
| ~ spl72_18 ),
inference(forward_demodulation,[],[f1081,f703]) ).
fof(f1081,plain,
( nil = sK22
| hd(sK22) = sK27(sK22)
| ~ spl72_3 ),
inference(resolution,[],[f477,f628]) ).
fof(f1123,plain,
( spl72_46
| ~ spl72_2
| spl72_22 ),
inference(avatar_split_clause,[],[f1107,f729,f621,f1120]) ).
fof(f1107,plain,
( hd(sK21) = sK27(sK21)
| ~ spl72_2
| spl72_22 ),
inference(subsumption_resolution,[],[f1080,f730]) ).
fof(f1080,plain,
( nil = sK21
| hd(sK21) = sK27(sK21)
| ~ spl72_2 ),
inference(resolution,[],[f477,f623]) ).
fof(f1118,plain,
( spl72_45
| ~ spl72_1
| spl72_26 ),
inference(avatar_split_clause,[],[f1106,f753,f616,f1115]) ).
fof(f1061,plain,
( ~ spl72_14
| ~ spl72_33
| spl72_43 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| ~ spl72_14
| ~ spl72_33
| spl72_43 ),
inference(subsumption_resolution,[],[f1059,f935]) ).
fof(f1059,plain,
( ~ ssItem(sK19(sK21,sK20))
| ~ spl72_14
| spl72_43 ),
inference(subsumption_resolution,[],[f1058,f683]) ).
fof(f1058,plain,
( ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| spl72_43 ),
inference(resolution,[],[f1052,f458]) ).
fof(f1052,plain,
( ~ sP4(sK19(sK21,sK20),nil)
| spl72_43 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1050,plain,
( spl72_43
<=> sP4(sK19(sK21,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_43])]) ).
fof(f1057,plain,
( ~ spl72_43
| spl72_44
| ~ spl72_32
| ~ spl72_39 ),
inference(avatar_split_clause,[],[f1048,f971,f919,f1054,f1050]) ).
fof(f1054,plain,
( spl72_44
<=> sP3(nil,sK19(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f1048,plain,
( sP3(nil,sK19(sK21,sK20))
| ~ sP4(sK19(sK21,sK20),nil)
| ~ spl72_32
| ~ spl72_39 ),
inference(subsumption_resolution,[],[f1047,f973]) ).
fof(f1047,plain,
( ~ strictorderedP(sK20)
| sP3(nil,sK19(sK21,sK20))
| ~ sP4(sK19(sK21,sK20),nil)
| ~ spl72_32 ),
inference(superposition,[],[f451,f921]) ).
fof(f1036,plain,
( ~ spl72_14
| ~ spl72_33
| spl72_41 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| ~ spl72_14
| ~ spl72_33
| spl72_41 ),
inference(subsumption_resolution,[],[f1034,f935]) ).
fof(f1034,plain,
( ~ ssItem(sK19(sK21,sK20))
| ~ spl72_14
| spl72_41 ),
inference(subsumption_resolution,[],[f1033,f683]) ).
fof(f1033,plain,
( ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| spl72_41 ),
inference(resolution,[],[f1027,f450]) ).
fof(f1027,plain,
( ~ sP2(sK19(sK21,sK20),nil)
| spl72_41 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl72_41
<=> sP2(sK19(sK21,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_41])]) ).
fof(f1032,plain,
( ~ spl72_41
| spl72_42
| ~ spl72_32
| ~ spl72_40 ),
inference(avatar_split_clause,[],[f1023,f977,f919,f1029,f1025]) ).
fof(f1029,plain,
( spl72_42
<=> sP1(nil,sK19(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_42])]) ).
fof(f1023,plain,
( sP1(nil,sK19(sK21,sK20))
| ~ sP2(sK19(sK21,sK20),nil)
| ~ spl72_32
| ~ spl72_40 ),
inference(subsumption_resolution,[],[f1022,f979]) ).
fof(f1022,plain,
( ~ totalorderedP(sK20)
| sP1(nil,sK19(sK21,sK20))
| ~ sP2(sK19(sK21,sK20),nil)
| ~ spl72_32 ),
inference(superposition,[],[f443,f921]) ).
fof(f980,plain,
( spl72_40
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f975,f934,f919,f977]) ).
fof(f975,plain,
( totalorderedP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f929,f935]) ).
fof(f929,plain,
( totalorderedP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f417,f921]) ).
fof(f974,plain,
( spl72_39
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f969,f934,f919,f971]) ).
fof(f969,plain,
( strictorderedP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f928,f935]) ).
fof(f928,plain,
( strictorderedP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f416,f921]) ).
fof(f968,plain,
( spl72_38
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f963,f934,f919,f965]) ).
fof(f965,plain,
( spl72_38
<=> strictorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f963,plain,
( strictorderP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f927,f935]) ).
fof(f927,plain,
( strictorderP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f415,f921]) ).
fof(f962,plain,
( spl72_37
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f957,f934,f919,f959]) ).
fof(f959,plain,
( spl72_37
<=> totalorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_37])]) ).
fof(f957,plain,
( totalorderP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f926,f935]) ).
fof(f926,plain,
( totalorderP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f414,f921]) ).
fof(f956,plain,
( spl72_36
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f951,f934,f919,f953]) ).
fof(f953,plain,
( spl72_36
<=> cyclefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f951,plain,
( cyclefreeP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f925,f935]) ).
fof(f925,plain,
( cyclefreeP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f413,f921]) ).
fof(f950,plain,
( spl72_35
| ~ spl72_32
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f945,f934,f919,f947]) ).
fof(f947,plain,
( spl72_35
<=> duplicatefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f945,plain,
( duplicatefreeP(sK20)
| ~ spl72_32
| ~ spl72_33 ),
inference(subsumption_resolution,[],[f924,f935]) ).
fof(f924,plain,
( duplicatefreeP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f412,f921]) ).
fof(f944,plain,
( ~ spl72_23
| spl72_33 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl72_23
| spl72_33 ),
inference(subsumption_resolution,[],[f942,f735]) ).
fof(f942,plain,
( ~ sP0(sK21,sK20)
| spl72_33 ),
inference(resolution,[],[f936,f383]) ).
fof(f936,plain,
( ~ ssItem(sK19(sK21,sK20))
| spl72_33 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f941,plain,
( ~ spl72_33
| spl72_34
| ~ spl72_32 ),
inference(avatar_split_clause,[],[f923,f919,f938,f934]) ).
fof(f938,plain,
( spl72_34
<=> equalelemsP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_34])]) ).
fof(f923,plain,
( equalelemsP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_32 ),
inference(superposition,[],[f411,f921]) ).
fof(f922,plain,
( spl72_32
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f917,f733,f919]) ).
fof(f917,plain,
( sK20 = cons(sK19(sK21,sK20),nil)
| ~ spl72_23 ),
inference(resolution,[],[f384,f735]) ).
fof(f867,plain,
( spl72_31
| ~ spl72_4
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f855,f696,f631,f862]) ).
fof(f862,plain,
( spl72_31
<=> sK21 = app(nil,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f855,plain,
( sK21 = app(nil,sK21)
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f833,f698]) ).
fof(f833,plain,
( sK23 = app(nil,sK23)
| ~ spl72_4 ),
inference(resolution,[],[f469,f633]) ).
fof(f866,plain,
( spl72_30
| ~ spl72_3
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f854,f701,f626,f857]) ).
fof(f857,plain,
( spl72_30
<=> sK20 = app(nil,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f854,plain,
( sK20 = app(nil,sK20)
| ~ spl72_3
| ~ spl72_18 ),
inference(forward_demodulation,[],[f832,f703]) ).
fof(f832,plain,
( sK22 = app(nil,sK22)
| ~ spl72_3 ),
inference(resolution,[],[f469,f628]) ).
fof(f865,plain,
( spl72_31
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f831,f621,f862]) ).
fof(f831,plain,
( sK21 = app(nil,sK21)
| ~ spl72_2 ),
inference(resolution,[],[f469,f623]) ).
fof(f860,plain,
( spl72_30
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f830,f616,f857]) ).
fof(f828,plain,
( spl72_29
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f785,f681,f825]) ).
fof(f825,plain,
( spl72_29
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_29])]) ).
fof(f785,plain,
( nil = app(nil,nil)
| ~ spl72_14 ),
inference(resolution,[],[f468,f683]) ).
fof(f823,plain,
( spl72_28
| ~ spl72_4
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f811,f696,f631,f818]) ).
fof(f818,plain,
( spl72_28
<=> sK21 = app(sK21,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_28])]) ).
fof(f811,plain,
( sK21 = app(sK21,nil)
| ~ spl72_4
| ~ spl72_17 ),
inference(forward_demodulation,[],[f789,f698]) ).
fof(f789,plain,
( sK23 = app(sK23,nil)
| ~ spl72_4 ),
inference(resolution,[],[f468,f633]) ).
fof(f822,plain,
( spl72_27
| ~ spl72_3
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f810,f701,f626,f813]) ).
fof(f810,plain,
( sK20 = app(sK20,nil)
| ~ spl72_3
| ~ spl72_18 ),
inference(forward_demodulation,[],[f788,f703]) ).
fof(f788,plain,
( sK22 = app(sK22,nil)
| ~ spl72_3 ),
inference(resolution,[],[f468,f628]) ).
fof(f821,plain,
( spl72_28
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f787,f621,f818]) ).
fof(f787,plain,
( sK21 = app(sK21,nil)
| ~ spl72_2 ),
inference(resolution,[],[f468,f623]) ).
fof(f816,plain,
( spl72_27
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f786,f616,f813]) ).
fof(f756,plain,
( spl72_26
| ~ spl72_17
| ~ spl72_18
| ~ spl72_22
| spl72_24 ),
inference(avatar_split_clause,[],[f751,f741,f729,f701,f696,f753]) ).
fof(f741,plain,
( spl72_24
<=> sP0(nil,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f751,plain,
( nil = sK20
| ~ spl72_17
| ~ spl72_18
| ~ spl72_22
| spl72_24 ),
inference(subsumption_resolution,[],[f750,f743]) ).
fof(f743,plain,
( ~ sP0(nil,sK20)
| spl72_24 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f750,plain,
( sP0(nil,sK20)
| nil = sK20
| ~ spl72_17
| ~ spl72_18
| ~ spl72_22 ),
inference(forward_demodulation,[],[f727,f731]) ).
fof(f731,plain,
( nil = sK21
| ~ spl72_22 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f727,plain,
( sP0(sK21,sK20)
| nil = sK20
| ~ spl72_17
| ~ spl72_18 ),
inference(forward_demodulation,[],[f726,f698]) ).
fof(f726,plain,
( sP0(sK23,sK20)
| nil = sK20
| ~ spl72_18 ),
inference(forward_demodulation,[],[f725,f703]) ).
fof(f725,plain,
( nil = sK20
| sP0(sK23,sK22)
| ~ spl72_18 ),
inference(forward_demodulation,[],[f397,f703]) ).
fof(f749,plain,
( ~ spl72_25
| spl72_20
| ~ spl72_22 ),
inference(avatar_split_clause,[],[f737,f729,f711,f746]) ).
fof(f746,plain,
( spl72_25
<=> memberP(nil,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_25])]) ).
fof(f711,plain,
( spl72_20
<=> memberP(sK21,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f737,plain,
( ~ memberP(nil,sK24)
| spl72_20
| ~ spl72_22 ),
inference(superposition,[],[f713,f731]) ).
fof(f713,plain,
( ~ memberP(sK21,sK24)
| spl72_20 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f744,plain,
( ~ spl72_24
| ~ spl72_22
| spl72_23 ),
inference(avatar_split_clause,[],[f739,f733,f729,f741]) ).
fof(f739,plain,
( ~ sP0(nil,sK20)
| ~ spl72_22
| spl72_23 ),
inference(forward_demodulation,[],[f734,f731]) ).
fof(f734,plain,
( ~ sP0(sK21,sK20)
| spl72_23 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f736,plain,
( spl72_22
| spl72_23
| ~ spl72_17
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f724,f701,f696,f733,f729]) ).
fof(f724,plain,
( sP0(sK21,sK20)
| nil = sK21
| ~ spl72_17
| ~ spl72_18 ),
inference(forward_demodulation,[],[f723,f698]) ).
fof(f723,plain,
( sP0(sK23,sK20)
| nil = sK21
| ~ spl72_17
| ~ spl72_18 ),
inference(forward_demodulation,[],[f722,f703]) ).
fof(f722,plain,
( nil = sK21
| sP0(sK23,sK22)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f396,f698]) ).
fof(f721,plain,
~ spl72_21,
inference(avatar_split_clause,[],[f614,f718]) ).
fof(f718,plain,
( spl72_21
<=> sK70 = sK71 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f714,plain,
~ spl72_20,
inference(avatar_split_clause,[],[f395,f711]) ).
fof(f709,plain,
spl72_19,
inference(avatar_split_clause,[],[f394,f706]) ).
fof(f704,plain,
spl72_18,
inference(avatar_split_clause,[],[f392,f701]) ).
fof(f699,plain,
spl72_17,
inference(avatar_split_clause,[],[f391,f696]) ).
fof(f694,plain,
spl72_16,
inference(avatar_split_clause,[],[f613,f691]) ).
fof(f689,plain,
spl72_15,
inference(avatar_split_clause,[],[f612,f686]) ).
fof(f684,plain,
spl72_14,
inference(avatar_split_clause,[],[f406,f681]) ).
fof(f679,plain,
spl72_13,
inference(avatar_split_clause,[],[f405,f676]) ).
fof(f676,plain,
( spl72_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f674,plain,
spl72_12,
inference(avatar_split_clause,[],[f404,f671]) ).
fof(f671,plain,
( spl72_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f669,plain,
spl72_11,
inference(avatar_split_clause,[],[f403,f666]) ).
fof(f666,plain,
( spl72_11
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f664,plain,
spl72_10,
inference(avatar_split_clause,[],[f402,f661]) ).
fof(f661,plain,
( spl72_10
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f659,plain,
spl72_9,
inference(avatar_split_clause,[],[f401,f656]) ).
fof(f656,plain,
( spl72_9
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f654,plain,
spl72_8,
inference(avatar_split_clause,[],[f400,f651]) ).
fof(f651,plain,
( spl72_8
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f649,plain,
spl72_7,
inference(avatar_split_clause,[],[f399,f646]) ).
fof(f646,plain,
( spl72_7
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f644,plain,
~ spl72_6,
inference(avatar_split_clause,[],[f398,f641]) ).
fof(f641,plain,
( spl72_6
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f639,plain,
spl72_5,
inference(avatar_split_clause,[],[f393,f636]) ).
fof(f634,plain,
spl72_4,
inference(avatar_split_clause,[],[f390,f631]) ).
fof(f629,plain,
spl72_3,
inference(avatar_split_clause,[],[f389,f626]) ).
fof(f624,plain,
spl72_2,
inference(avatar_split_clause,[],[f388,f621]) ).
fof(f619,plain,
spl72_1,
inference(avatar_split_clause,[],[f387,f616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 17:11:50 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (21166)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (21202)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (21203)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (21205)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (21204)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (21208)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.42 % (21207)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.42 % (21206)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.45 TRYING [3]
% 0.22/0.48 TRYING [4]
% 0.22/0.48 TRYING [4]
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 0.22/0.56 TRYING [5]
% 0.22/0.56 TRYING [3]
% 0.22/0.57 TRYING [5]
% 1.16/0.59 TRYING [4]
% 1.16/0.65 TRYING [5]
% 1.89/0.71 TRYING [6]
% 1.89/0.72 TRYING [6]
% 2.83/0.82 TRYING [6]
% 3.13/0.85 % (21204)First to succeed.
% 3.13/0.87 % (21204)Refutation found. Thanks to Tanya!
% 3.13/0.87 % SZS status Theorem for Vampire---4
% 3.13/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 3.13/0.88 % (21204)------------------------------
% 3.13/0.88 % (21204)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.13/0.88 % (21204)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.13/0.88 % (21204)Termination reason: Refutation
% 3.13/0.88
% 3.13/0.88 % (21204)Memory used [KB]: 9722
% 3.13/0.88 % (21204)Time elapsed: 0.445 s
% 3.13/0.88 % (21204)------------------------------
% 3.13/0.88 % (21204)------------------------------
% 3.13/0.88 % (21166)Success in time 0.52 s
% 3.13/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------