TSTP Solution File: SWC050+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC050+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 : n027.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 12:37:57 EDT 2023
% Result : Theorem 3.19s 0.90s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 406
% Syntax : Number of formulae : 2437 ( 46 unt; 0 def)
% Number of atoms : 9253 (1985 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 11486 (4670 ~;5436 |; 771 &)
% ( 315 <=>; 294 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 279 ( 277 usr; 239 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 7 con; 0-2 aty)
% Number of variables : 2589 (;2255 !; 334 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5643,plain,
$false,
inference(avatar_smt_refutation,[],[f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f707,f749,f751,f753,f786,f791,f792,f793,f798,f831,f836,f837,f838,f846,f949,f1012,f1051,f1057,f1071,f1083,f1093,f1100,f1108,f1150,f1155,f1162,f1171,f1213,f1221,f1223,f1225,f1251,f1261,f1288,f1293,f1325,f1330,f1361,f1366,f1484,f1489,f1516,f1521,f1578,f1590,f1599,f1603,f1613,f1631,f1640,f1644,f1654,f1665,f1721,f1725,f1731,f1736,f1738,f1741,f1743,f1745,f1747,f1749,f1751,f1753,f1755,f1757,f1759,f1761,f1763,f1765,f1767,f1769,f1771,f1773,f1775,f1777,f1779,f1781,f1789,f1799,f1857,f1870,f1880,f1881,f1889,f1913,f1918,f1919,f1925,f1953,f1957,f1972,f1976,f2010,f2014,f2029,f2033,f2044,f2049,f2054,f2063,f2068,f2073,f2078,f2083,f2088,f2093,f2098,f2103,f2131,f2136,f2141,f2146,f2151,f2156,f2161,f2166,f2171,f2176,f2181,f2186,f2336,f2347,f2356,f2360,f2377,f2384,f2388,f2407,f2424,f2429,f2465,f2481,f2486,f2503,f2508,f2529,f2546,f2551,f2568,f2593,f2600,f2604,f2631,f2636,f2641,f2689,f2694,f2715,f2720,f2767,f2768,f2837,f2842,f2851,f2856,f2921,f2926,f2943,f2947,f3007,f3012,f3045,f3049,f3099,f3110,f3112,f3114,f3116,f3120,f3133,f3141,f3189,f3190,f3191,f3192,f3197,f3204,f3254,f3283,f3288,f3293,f3298,f3347,f3352,f3357,f3362,f3367,f3372,f3507,f3512,f3548,f3561,f3612,f3617,f3663,f3668,f3717,f3722,f3768,f3773,f3859,f3868,f3878,f3885,f3891,f3896,f3909,f3910,f3915,f3920,f3925,f3926,f3931,f3936,f3941,f3942,f3947,f3993,f3998,f3999,f4219,f4224,f4253,f4275,f4280,f4310,f4332,f4337,f4394,f4399,f4404,f4409,f4650,f4901,f4934,f4943,f4973,f5017,f5063,f5068,f5220,f5229,f5234,f5293,f5337,f5344,f5350,f5355,f5414,f5415,f5420,f5425,f5430,f5431,f5557,f5568,f5573,f5583,f5590,f5600,f5610,f5617,f5642]) ).
fof(f5642,plain,
( ~ spl72_20
| ~ spl72_26 ),
inference(avatar_contradiction_clause,[],[f5641]) ).
fof(f5641,plain,
( $false
| ~ spl72_20
| ~ spl72_26 ),
inference(subsumption_resolution,[],[f5639,f845]) ).
fof(f845,plain,
( sP0(sK21,sK22)
| ~ spl72_26 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl72_26
<=> sP0(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f5639,plain,
( ~ sP0(sK21,sK22)
| ~ spl72_20 ),
inference(duplicate_literal_removal,[],[f5638]) ).
fof(f5638,plain,
( ~ sP0(sK21,sK22)
| ~ sP0(sK21,sK22)
| ~ spl72_20 ),
inference(resolution,[],[f5634,f390]) ).
fof(f390,plain,
! [X0,X1] :
( rearsegP(X0,sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ( rearsegP(X0,sK20(X0,X1))
& rearsegP(X1,sK20(X0,X1))
& neq(sK20(X0,X1),nil)
& ssList(sK20(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f257,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ? [X2] :
( rearsegP(X0,X2)
& rearsegP(X1,X2)
& neq(X2,nil)
& ssList(X2) )
=> ( rearsegP(X0,sK20(X0,X1))
& rearsegP(X1,sK20(X0,X1))
& neq(sK20(X0,X1),nil)
& ssList(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X2] :
( rearsegP(X0,X2)
& rearsegP(X1,X2)
& neq(X2,nil)
& ssList(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X2,X3] :
( ? [X4] :
( rearsegP(X2,X4)
& rearsegP(X3,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ sP0(X2,X3) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X2,X3] :
( ? [X4] :
( rearsegP(X2,X4)
& rearsegP(X3,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ sP0(X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5634,plain,
( ! [X1] :
( ~ rearsegP(sK21,sK20(X1,sK22))
| ~ sP0(X1,sK22) )
| ~ spl72_20 ),
inference(subsumption_resolution,[],[f5633,f387]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f5633,plain,
( ! [X1] :
( ~ ssList(sK20(X1,sK22))
| ~ rearsegP(sK21,sK20(X1,sK22))
| ~ sP0(X1,sK22) )
| ~ spl72_20 ),
inference(subsumption_resolution,[],[f5624,f388]) ).
fof(f388,plain,
! [X0,X1] :
( neq(sK20(X0,X1),nil)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f5624,plain,
( ! [X1] :
( ~ neq(sK20(X1,sK22),nil)
| ~ ssList(sK20(X1,sK22))
| ~ rearsegP(sK21,sK20(X1,sK22))
| ~ sP0(X1,sK22) )
| ~ spl72_20 ),
inference(resolution,[],[f4248,f389]) ).
fof(f389,plain,
! [X0,X1] :
( rearsegP(X1,sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f4248,plain,
( ! [X0] :
( ~ rearsegP(sK22,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(sK21,X0) )
| ~ spl72_20 ),
inference(resolution,[],[f385,f748]) ).
fof(f748,plain,
( sP1(sK22,sK21,sK21,sK22)
| ~ spl72_20 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl72_20
<=> sP1(sK22,sK21,sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3)
| ~ rearsegP(X3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ rearsegP(X2,X4) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1,X2,X3] :
( ( sP0(X1,X0)
& ! [X4] :
( ~ rearsegP(X2,X4)
| ~ rearsegP(X3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X3,nil) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f254]) ).
fof(f254,plain,
! [X3,X2,X0,X1] :
( ( sP0(X2,X3)
& ! [X5] :
( ~ rearsegP(X0,X5)
| ~ rearsegP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil) )
| ~ sP1(X3,X2,X0,X1) ),
inference(nnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X3,X2,X0,X1] :
( ( sP0(X2,X3)
& ! [X5] :
( ~ rearsegP(X0,X5)
| ~ rearsegP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil) )
| ~ sP1(X3,X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f5617,plain,
( ~ spl72_238
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_199
| ~ spl72_207
| spl72_236 ),
inference(avatar_split_clause,[],[f5612,f5597,f4898,f4307,f2940,f2936,f2918,f622,f617,f5614]) ).
fof(f5614,plain,
( spl72_238
<=> rearsegP(sK21,cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_238])]) ).
fof(f617,plain,
( spl72_1
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f622,plain,
( spl72_2
<=> ssList(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f2918,plain,
( spl72_141
<=> cons(sK70,sK21) = app(cons(sK70,nil),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_141])]) ).
fof(f2936,plain,
( spl72_143
<=> ssList(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_143])]) ).
fof(f2940,plain,
( spl72_144
<=> ssList(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_144])]) ).
fof(f4307,plain,
( spl72_199
<=> ssList(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_199])]) ).
fof(f4898,plain,
( spl72_207
<=> rearsegP(cons(sK71,sK22),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_207])]) ).
fof(f5597,plain,
( spl72_236
<=> rearsegP(cons(sK70,sK21),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_236])]) ).
fof(f5612,plain,
( ~ rearsegP(sK21,cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_199
| ~ spl72_207
| spl72_236 ),
inference(subsumption_resolution,[],[f5317,f5598]) ).
fof(f5598,plain,
( ~ rearsegP(cons(sK70,sK21),sK22)
| spl72_236 ),
inference(avatar_component_clause,[],[f5597]) ).
fof(f5317,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ rearsegP(sK21,cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_199
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f5316,f4309]) ).
fof(f4309,plain,
( ssList(cons(sK71,sK22))
| ~ spl72_199 ),
inference(avatar_component_clause,[],[f4307]) ).
fof(f5316,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ rearsegP(sK21,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_199
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f5297,f2942]) ).
fof(f2942,plain,
( ssList(cons(sK70,sK21))
| ~ spl72_144 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f5297,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ ssList(cons(sK70,sK21))
| ~ rearsegP(sK21,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_199
| ~ spl72_207 ),
inference(resolution,[],[f4906,f3328]) ).
fof(f3328,plain,
( ! [X8] :
( rearsegP(cons(sK70,sK21),X8)
| ~ rearsegP(sK21,X8)
| ~ ssList(X8) )
| ~ spl72_1
| ~ spl72_141
| ~ spl72_143 ),
inference(subsumption_resolution,[],[f3327,f619]) ).
fof(f619,plain,
( ssList(sK21)
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f3327,plain,
( ! [X8] :
( rearsegP(cons(sK70,sK21),X8)
| ~ rearsegP(sK21,X8)
| ~ ssList(X8)
| ~ ssList(sK21) )
| ~ spl72_141
| ~ spl72_143 ),
inference(subsumption_resolution,[],[f3309,f2937]) ).
fof(f2937,plain,
( ssList(cons(sK70,nil))
| ~ spl72_143 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f3309,plain,
( ! [X8] :
( rearsegP(cons(sK70,sK21),X8)
| ~ rearsegP(sK21,X8)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X8)
| ~ ssList(sK21) )
| ~ spl72_141 ),
inference(superposition,[],[f606,f2920]) ).
fof(f2920,plain,
( cons(sK70,sK21) = app(cons(sK70,nil),sK21)
| ~ spl72_141 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f606,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,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.9tc6S3kmL3/Vampire---4.8_25589',ax50) ).
fof(f4906,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sK71,sK22))
| rearsegP(X0,sK22)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_199
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f4905,f4309]) ).
fof(f4905,plain,
( ! [X0] :
( rearsegP(X0,sK22)
| ~ rearsegP(X0,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f4902,f624]) ).
fof(f624,plain,
( ssList(sK22)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f4902,plain,
( ! [X0] :
( rearsegP(X0,sK22)
| ~ rearsegP(X0,cons(sK71,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK71,sK22))
| ~ ssList(X0) )
| ~ spl72_207 ),
inference(resolution,[],[f4900,f611]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,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.9tc6S3kmL3/Vampire---4.8_25589',ax47) ).
fof(f4900,plain,
( rearsegP(cons(sK71,sK22),sK22)
| ~ spl72_207 ),
inference(avatar_component_clause,[],[f4898]) ).
fof(f5610,plain,
( ~ spl72_237
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_144
| spl72_236 ),
inference(avatar_split_clause,[],[f5605,f5597,f2940,f833,f677,f622,f5607]) ).
fof(f5607,plain,
( spl72_237
<=> sK22 = cons(sK70,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_237])]) ).
fof(f677,plain,
( spl72_13
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f833,plain,
( spl72_25
<=> sK22 = app(nil,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_25])]) ).
fof(f5605,plain,
( sK22 != cons(sK70,sK21)
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_144
| spl72_236 ),
inference(subsumption_resolution,[],[f5604,f2942]) ).
fof(f5604,plain,
( sK22 != cons(sK70,sK21)
| ~ ssList(cons(sK70,sK21))
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| spl72_236 ),
inference(resolution,[],[f5598,f3183]) ).
fof(f3183,plain,
( ! [X9] :
( rearsegP(X9,sK22)
| sK22 != X9
| ~ ssList(X9) )
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25 ),
inference(subsumption_resolution,[],[f3182,f624]) ).
fof(f3182,plain,
( ! [X9] :
( sK22 != X9
| rearsegP(X9,sK22)
| ~ ssList(sK22)
| ~ ssList(X9) )
| ~ spl72_13
| ~ spl72_25 ),
inference(subsumption_resolution,[],[f3170,f679]) ).
fof(f679,plain,
( ssList(nil)
| ~ spl72_13 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f3170,plain,
( ! [X9] :
( sK22 != X9
| rearsegP(X9,sK22)
| ~ ssList(nil)
| ~ ssList(sK22)
| ~ ssList(X9) )
| ~ spl72_25 ),
inference(superposition,[],[f597,f835]) ).
fof(f835,plain,
( sK22 = app(nil,sK22)
| ~ spl72_25 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f597,plain,
! [X2,X0,X1] :
( app(X2,X1) != X0
| rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f378,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK69(X0,X1),X1) = X0
& ssList(sK69(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f376,f377]) ).
fof(f377,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK69(X0,X1),X1) = X0
& ssList(sK69(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f376,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,[],[f375]) ).
fof(f375,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,[],[f202]) ).
fof(f202,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.9tc6S3kmL3/Vampire---4.8_25589',ax6) ).
fof(f5600,plain,
( ~ spl72_235
| spl72_236
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_196
| ~ spl72_206 ),
inference(avatar_split_clause,[],[f5197,f4647,f4250,f2940,f2936,f2918,f622,f617,f5597,f5593]) ).
fof(f5593,plain,
( spl72_235
<=> rearsegP(sK21,cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_235])]) ).
fof(f4250,plain,
( spl72_196
<=> ssList(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_196])]) ).
fof(f4647,plain,
( spl72_206
<=> rearsegP(cons(sK70,sK22),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_206])]) ).
fof(f5197,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ rearsegP(sK21,cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f5196,f4252]) ).
fof(f4252,plain,
( ssList(cons(sK70,sK22))
| ~ spl72_196 ),
inference(avatar_component_clause,[],[f4250]) ).
fof(f5196,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ rearsegP(sK21,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f5177,f2942]) ).
fof(f5177,plain,
( rearsegP(cons(sK70,sK21),sK22)
| ~ ssList(cons(sK70,sK21))
| ~ rearsegP(sK21,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_141
| ~ spl72_143
| ~ spl72_196
| ~ spl72_206 ),
inference(resolution,[],[f4655,f3328]) ).
fof(f4655,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sK70,sK22))
| rearsegP(X0,sK22)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4654,f4252]) ).
fof(f4654,plain,
( ! [X0] :
( rearsegP(X0,sK22)
| ~ rearsegP(X0,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4651,f624]) ).
fof(f4651,plain,
( ! [X0] :
( rearsegP(X0,sK22)
| ~ rearsegP(X0,cons(sK70,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK70,sK22))
| ~ ssList(X0) )
| ~ spl72_206 ),
inference(resolution,[],[f4649,f611]) ).
fof(f4649,plain,
( rearsegP(cons(sK70,sK22),sK22)
| ~ spl72_206 ),
inference(avatar_component_clause,[],[f4647]) ).
fof(f5590,plain,
( ~ spl72_234
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_148
| ~ spl72_167
| ~ spl72_194
| ~ spl72_196
| spl72_229 ),
inference(avatar_split_clause,[],[f5585,f5550,f4250,f4216,f3558,f3042,f2936,f622,f617,f5587]) ).
fof(f5587,plain,
( spl72_234
<=> rearsegP(sK22,cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_234])]) ).
fof(f3042,plain,
( spl72_148
<=> ssList(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_148])]) ).
fof(f3558,plain,
( spl72_167
<=> rearsegP(cons(sK71,sK21),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_167])]) ).
fof(f4216,plain,
( spl72_194
<=> cons(sK70,sK22) = app(cons(sK70,nil),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_194])]) ).
fof(f5550,plain,
( spl72_229
<=> rearsegP(cons(sK70,sK22),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_229])]) ).
fof(f5585,plain,
( ~ rearsegP(sK22,cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_148
| ~ spl72_167
| ~ spl72_194
| ~ spl72_196
| spl72_229 ),
inference(subsumption_resolution,[],[f4870,f5551]) ).
fof(f5551,plain,
( ~ rearsegP(cons(sK70,sK22),sK21)
| spl72_229 ),
inference(avatar_component_clause,[],[f5550]) ).
fof(f4870,plain,
( ~ rearsegP(sK22,cons(sK71,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_148
| ~ spl72_167
| ~ spl72_194
| ~ spl72_196 ),
inference(subsumption_resolution,[],[f4869,f4252]) ).
fof(f4869,plain,
( ~ rearsegP(sK22,cons(sK71,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_148
| ~ spl72_167
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4860,f3044]) ).
fof(f3044,plain,
( ssList(cons(sK71,sK21))
| ~ spl72_148 ),
inference(avatar_component_clause,[],[f3042]) ).
fof(f4860,plain,
( ~ rearsegP(sK22,cons(sK71,sK21))
| ~ ssList(cons(sK71,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_148
| ~ spl72_167
| ~ spl72_194 ),
inference(resolution,[],[f4247,f4110]) ).
fof(f4110,plain,
( ! [X17] :
( ~ rearsegP(X17,cons(sK71,sK21))
| rearsegP(X17,sK21)
| ~ ssList(X17) )
| ~ spl72_1
| ~ spl72_148
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f4109,f3044]) ).
fof(f4109,plain,
( ! [X17] :
( rearsegP(X17,sK21)
| ~ rearsegP(X17,cons(sK71,sK21))
| ~ ssList(cons(sK71,sK21))
| ~ ssList(X17) )
| ~ spl72_1
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f4072,f619]) ).
fof(f4072,plain,
( ! [X17] :
( rearsegP(X17,sK21)
| ~ rearsegP(X17,cons(sK71,sK21))
| ~ ssList(sK21)
| ~ ssList(cons(sK71,sK21))
| ~ ssList(X17) )
| ~ spl72_167 ),
inference(resolution,[],[f611,f3560]) ).
fof(f3560,plain,
( rearsegP(cons(sK71,sK21),sK21)
| ~ spl72_167 ),
inference(avatar_component_clause,[],[f3558]) ).
fof(f4247,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(sK22,X5)
| ~ ssList(X5) )
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4246,f624]) ).
fof(f4246,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(sK22,X5)
| ~ ssList(X5)
| ~ ssList(sK22) )
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4233,f2937]) ).
fof(f4233,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(sK22,X5)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X5)
| ~ ssList(sK22) )
| ~ spl72_194 ),
inference(superposition,[],[f606,f4218]) ).
fof(f4218,plain,
( cons(sK70,sK22) = app(cons(sK70,nil),sK22)
| ~ spl72_194 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f5583,plain,
( ~ spl72_233
| ~ spl72_1
| ~ spl72_13
| ~ spl72_24
| ~ spl72_196
| spl72_229 ),
inference(avatar_split_clause,[],[f5563,f5550,f4250,f828,f677,f617,f5580]) ).
fof(f5580,plain,
( spl72_233
<=> sK21 = cons(sK70,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_233])]) ).
fof(f828,plain,
( spl72_24
<=> sK21 = app(nil,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f5563,plain,
( sK21 != cons(sK70,sK22)
| ~ spl72_1
| ~ spl72_13
| ~ spl72_24
| ~ spl72_196
| spl72_229 ),
inference(subsumption_resolution,[],[f5560,f4252]) ).
fof(f5560,plain,
( sK21 != cons(sK70,sK22)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_13
| ~ spl72_24
| spl72_229 ),
inference(resolution,[],[f5551,f3177]) ).
fof(f3177,plain,
( ! [X6] :
( rearsegP(X6,sK21)
| sK21 != X6
| ~ ssList(X6) )
| ~ spl72_1
| ~ spl72_13
| ~ spl72_24 ),
inference(subsumption_resolution,[],[f3176,f619]) ).
fof(f3176,plain,
( ! [X6] :
( sK21 != X6
| rearsegP(X6,sK21)
| ~ ssList(sK21)
| ~ ssList(X6) )
| ~ spl72_13
| ~ spl72_24 ),
inference(subsumption_resolution,[],[f3167,f679]) ).
fof(f3167,plain,
( ! [X6] :
( sK21 != X6
| rearsegP(X6,sK21)
| ~ ssList(nil)
| ~ ssList(sK21)
| ~ ssList(X6) )
| ~ spl72_24 ),
inference(superposition,[],[f597,f830]) ).
fof(f830,plain,
( sK21 = app(nil,sK21)
| ~ spl72_24 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f5573,plain,
( ~ spl72_232
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194
| spl72_229 ),
inference(avatar_split_clause,[],[f5562,f5550,f4216,f2936,f622,f617,f5570]) ).
fof(f5570,plain,
( spl72_232
<=> rearsegP(sK22,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_232])]) ).
fof(f5562,plain,
( ~ rearsegP(sK22,sK21)
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194
| spl72_229 ),
inference(subsumption_resolution,[],[f5559,f619]) ).
fof(f5559,plain,
( ~ rearsegP(sK22,sK21)
| ~ ssList(sK21)
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194
| spl72_229 ),
inference(resolution,[],[f5551,f4247]) ).
fof(f5568,plain,
( ~ spl72_231
| ~ spl72_1
| ~ spl72_13
| ~ spl72_196
| ~ spl72_202
| spl72_229 ),
inference(avatar_split_clause,[],[f5561,f5550,f4391,f4250,f677,f617,f5565]) ).
fof(f5565,plain,
( spl72_231
<=> rearsegP(nil,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_231])]) ).
fof(f4391,plain,
( spl72_202
<=> cons(sK70,sK22) = app(cons(sK70,sK22),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_202])]) ).
fof(f5561,plain,
( ~ rearsegP(nil,sK21)
| ~ spl72_1
| ~ spl72_13
| ~ spl72_196
| ~ spl72_202
| spl72_229 ),
inference(subsumption_resolution,[],[f5558,f619]) ).
fof(f5558,plain,
( ~ rearsegP(nil,sK21)
| ~ ssList(sK21)
| ~ spl72_13
| ~ spl72_196
| ~ spl72_202
| spl72_229 ),
inference(resolution,[],[f5551,f4422]) ).
fof(f4422,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(nil,X5)
| ~ ssList(X5) )
| ~ spl72_13
| ~ spl72_196
| ~ spl72_202 ),
inference(subsumption_resolution,[],[f4421,f679]) ).
fof(f4421,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(nil,X5)
| ~ ssList(X5)
| ~ ssList(nil) )
| ~ spl72_196
| ~ spl72_202 ),
inference(subsumption_resolution,[],[f4418,f4252]) ).
fof(f4418,plain,
( ! [X5] :
( rearsegP(cons(sK70,sK22),X5)
| ~ rearsegP(nil,X5)
| ~ ssList(cons(sK70,sK22))
| ~ ssList(X5)
| ~ ssList(nil) )
| ~ spl72_202 ),
inference(superposition,[],[f606,f4393]) ).
fof(f4393,plain,
( cons(sK70,sK22) = app(cons(sK70,sK22),nil)
| ~ spl72_202 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f5557,plain,
( spl72_229
| ~ spl72_230
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_144
| ~ spl72_166
| ~ spl72_194
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4868,f4250,f4216,f3545,f2940,f2936,f622,f617,f5554,f5550]) ).
fof(f5554,plain,
( spl72_230
<=> rearsegP(sK22,cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_230])]) ).
fof(f3545,plain,
( spl72_166
<=> rearsegP(cons(sK70,sK21),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_166])]) ).
fof(f4868,plain,
( ~ rearsegP(sK22,cons(sK70,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_144
| ~ spl72_166
| ~ spl72_194
| ~ spl72_196 ),
inference(subsumption_resolution,[],[f4867,f4252]) ).
fof(f4867,plain,
( ~ rearsegP(sK22,cons(sK70,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_144
| ~ spl72_166
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4859,f2942]) ).
fof(f4859,plain,
( ~ rearsegP(sK22,cons(sK70,sK21))
| ~ ssList(cons(sK70,sK21))
| rearsegP(cons(sK70,sK22),sK21)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_143
| ~ spl72_144
| ~ spl72_166
| ~ spl72_194 ),
inference(resolution,[],[f4247,f4108]) ).
fof(f4108,plain,
( ! [X16] :
( ~ rearsegP(X16,cons(sK70,sK21))
| rearsegP(X16,sK21)
| ~ ssList(X16) )
| ~ spl72_1
| ~ spl72_144
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f4107,f2942]) ).
fof(f4107,plain,
( ! [X16] :
( rearsegP(X16,sK21)
| ~ rearsegP(X16,cons(sK70,sK21))
| ~ ssList(cons(sK70,sK21))
| ~ ssList(X16) )
| ~ spl72_1
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f4071,f619]) ).
fof(f4071,plain,
( ! [X16] :
( rearsegP(X16,sK21)
| ~ rearsegP(X16,cons(sK70,sK21))
| ~ ssList(sK21)
| ~ ssList(cons(sK70,sK21))
| ~ ssList(X16) )
| ~ spl72_166 ),
inference(resolution,[],[f611,f3547]) ).
fof(f3547,plain,
( rearsegP(cons(sK70,sK21),sK21)
| ~ spl72_166 ),
inference(avatar_component_clause,[],[f3545]) ).
fof(f5431,plain,
( spl72_227
| ~ spl72_74
| ~ spl72_116
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5058,f4307,f2462,f1965,f5422]) ).
fof(f5422,plain,
( spl72_227
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_227])]) ).
fof(f1965,plain,
( spl72_74
<=> ssItem(sK26(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_74])]) ).
fof(f2462,plain,
( spl72_116
<=> hd(sK22) = sK26(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_116])]) ).
fof(f5058,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK22)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_199 ),
inference(forward_demodulation,[],[f5039,f2464]) ).
fof(f2464,plain,
( hd(sK22) = sK26(sK22)
| ~ spl72_116 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f5039,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK71,sK22)))
| ~ spl72_74
| ~ spl72_199 ),
inference(resolution,[],[f4318,f1966]) ).
fof(f1966,plain,
( ssItem(sK26(sK22))
| ~ spl72_74 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f4318,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK71,sK22))) = X1 )
| ~ spl72_199 ),
inference(resolution,[],[f4309,f573]) ).
fof(f573,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.9tc6S3kmL3/Vampire---4.8_25589',ax23) ).
fof(f5430,plain,
( spl72_228
| ~ spl72_72
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5038,f4307,f1946,f5427]) ).
fof(f5427,plain,
( spl72_228
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_228])]) ).
fof(f1946,plain,
( spl72_72
<=> ssItem(sK26(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_72])]) ).
fof(f5038,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK22)))
| ~ spl72_72
| ~ spl72_199 ),
inference(resolution,[],[f4318,f1947]) ).
fof(f1947,plain,
( ssItem(sK26(sK21))
| ~ spl72_72 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f5425,plain,
( spl72_227
| ~ spl72_78
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5036,f4307,f2022,f5422]) ).
fof(f2022,plain,
( spl72_78
<=> ssItem(hd(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_78])]) ).
fof(f5036,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK22)))
| ~ spl72_78
| ~ spl72_199 ),
inference(resolution,[],[f4318,f2023]) ).
fof(f2023,plain,
( ssItem(hd(sK22))
| ~ spl72_78 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f5420,plain,
( spl72_226
| ~ spl72_76
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5035,f4307,f2003,f5417]) ).
fof(f5417,plain,
( spl72_226
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_226])]) ).
fof(f2003,plain,
( spl72_76
<=> ssItem(hd(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_76])]) ).
fof(f5035,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK22)))
| ~ spl72_76
| ~ spl72_199 ),
inference(resolution,[],[f4318,f2004]) ).
fof(f2004,plain,
( ssItem(hd(sK21))
| ~ spl72_76 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f5415,plain,
( spl72_224
| ~ spl72_74
| ~ spl72_116
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4968,f4250,f2462,f1965,f5352]) ).
fof(f5352,plain,
( spl72_224
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_224])]) ).
fof(f4968,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK22)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_196 ),
inference(forward_demodulation,[],[f4949,f2464]) ).
fof(f4949,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK70,sK22)))
| ~ spl72_74
| ~ spl72_196 ),
inference(resolution,[],[f4261,f1966]) ).
fof(f4261,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK70,sK22))) = X1 )
| ~ spl72_196 ),
inference(resolution,[],[f4252,f573]) ).
fof(f5414,plain,
( spl72_225
| ~ spl72_72
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4948,f4250,f1946,f5411]) ).
fof(f5411,plain,
( spl72_225
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_225])]) ).
fof(f4948,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK22)))
| ~ spl72_72
| ~ spl72_196 ),
inference(resolution,[],[f4261,f1947]) ).
fof(f5355,plain,
( spl72_224
| ~ spl72_78
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4946,f4250,f2022,f5352]) ).
fof(f4946,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK22)))
| ~ spl72_78
| ~ spl72_196 ),
inference(resolution,[],[f4261,f2023]) ).
fof(f5350,plain,
( spl72_223
| ~ spl72_76
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4945,f4250,f2003,f5347]) ).
fof(f5347,plain,
( spl72_223
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_223])]) ).
fof(f4945,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK22)))
| ~ spl72_76
| ~ spl72_196 ),
inference(resolution,[],[f4261,f2004]) ).
fof(f5344,plain,
( ~ spl72_222
| ~ spl72_2
| ~ spl72_199
| ~ spl72_207
| spl72_211 ),
inference(avatar_split_clause,[],[f5339,f4940,f4898,f4307,f622,f5341]) ).
fof(f5341,plain,
( spl72_222
<=> rearsegP(sK22,cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_222])]) ).
fof(f4940,plain,
( spl72_211
<=> sK22 = cons(sK71,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_211])]) ).
fof(f5339,plain,
( ~ rearsegP(sK22,cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_199
| ~ spl72_207
| spl72_211 ),
inference(subsumption_resolution,[],[f4910,f4942]) ).
fof(f4942,plain,
( sK22 != cons(sK71,sK22)
| spl72_211 ),
inference(avatar_component_clause,[],[f4940]) ).
fof(f4910,plain,
( sK22 = cons(sK71,sK22)
| ~ rearsegP(sK22,cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_199
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f4909,f624]) ).
fof(f4909,plain,
( sK22 = cons(sK71,sK22)
| ~ rearsegP(sK22,cons(sK71,sK22))
| ~ ssList(sK22)
| ~ spl72_199
| ~ spl72_207 ),
inference(subsumption_resolution,[],[f4904,f4309]) ).
fof(f4904,plain,
( sK22 = cons(sK71,sK22)
| ~ rearsegP(sK22,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ ssList(sK22)
| ~ spl72_207 ),
inference(resolution,[],[f4900,f585]) ).
fof(f585,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,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.9tc6S3kmL3/Vampire---4.8_25589',ax48) ).
fof(f5337,plain,
( ~ spl72_221
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_199
| ~ spl72_207
| spl72_217 ),
inference(avatar_split_clause,[],[f5332,f5217,f4898,f4307,f783,f677,f622,f617,f5334]) ).
fof(f5334,plain,
( spl72_221
<=> rearsegP(nil,cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_221])]) ).
fof(f783,plain,
( spl72_21
<=> sK21 = app(sK21,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f5217,plain,
( spl72_217
<=> rearsegP(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_217])]) ).
fof(f5332,plain,
( ~ rearsegP(nil,cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_199
| ~ spl72_207
| spl72_217 ),
inference(subsumption_resolution,[],[f5331,f4309]) ).
fof(f5331,plain,
( ~ rearsegP(nil,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_199
| ~ spl72_207
| spl72_217 ),
inference(subsumption_resolution,[],[f5330,f619]) ).
fof(f5330,plain,
( ~ ssList(sK21)
| ~ rearsegP(nil,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_199
| ~ spl72_207
| spl72_217 ),
inference(subsumption_resolution,[],[f5309,f5218]) ).
fof(f5218,plain,
( ~ rearsegP(sK21,sK22)
| spl72_217 ),
inference(avatar_component_clause,[],[f5217]) ).
fof(f5309,plain,
( rearsegP(sK21,sK22)
| ~ ssList(sK21)
| ~ rearsegP(nil,cons(sK71,sK22))
| ~ ssList(cons(sK71,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_199
| ~ spl72_207 ),
inference(resolution,[],[f4906,f3321]) ).
fof(f3321,plain,
( ! [X2] :
( rearsegP(sK21,X2)
| ~ rearsegP(nil,X2)
| ~ ssList(X2) )
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21 ),
inference(subsumption_resolution,[],[f3320,f679]) ).
fof(f3320,plain,
( ! [X2] :
( rearsegP(sK21,X2)
| ~ rearsegP(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil) )
| ~ spl72_1
| ~ spl72_21 ),
inference(subsumption_resolution,[],[f3303,f619]) ).
fof(f3303,plain,
( ! [X2] :
( rearsegP(sK21,X2)
| ~ rearsegP(nil,X2)
| ~ ssList(sK21)
| ~ ssList(X2)
| ~ ssList(nil) )
| ~ spl72_21 ),
inference(superposition,[],[f606,f785]) ).
fof(f785,plain,
( sK21 = app(sK21,nil)
| ~ spl72_21 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f5293,plain,
( ~ spl72_220
| ~ spl72_2
| ~ spl72_196
| ~ spl72_206
| spl72_209 ),
inference(avatar_split_clause,[],[f5238,f4931,f4647,f4250,f622,f5290]) ).
fof(f5290,plain,
( spl72_220
<=> rearsegP(sK22,cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_220])]) ).
fof(f4931,plain,
( spl72_209
<=> sK22 = cons(sK70,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_209])]) ).
fof(f5238,plain,
( ~ rearsegP(sK22,cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_196
| ~ spl72_206
| spl72_209 ),
inference(subsumption_resolution,[],[f4659,f4933]) ).
fof(f4933,plain,
( sK22 != cons(sK70,sK22)
| spl72_209 ),
inference(avatar_component_clause,[],[f4931]) ).
fof(f4659,plain,
( sK22 = cons(sK70,sK22)
| ~ rearsegP(sK22,cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4658,f624]) ).
fof(f4658,plain,
( sK22 = cons(sK70,sK22)
| ~ rearsegP(sK22,cons(sK70,sK22))
| ~ ssList(sK22)
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f4653,f4252]) ).
fof(f4653,plain,
( sK22 = cons(sK70,sK22)
| ~ rearsegP(sK22,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ ssList(sK22)
| ~ spl72_206 ),
inference(resolution,[],[f4649,f585]) ).
fof(f5234,plain,
( ~ spl72_219
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| spl72_217 ),
inference(avatar_split_clause,[],[f5224,f5217,f833,f677,f622,f617,f5231]) ).
fof(f5231,plain,
( spl72_219
<=> sK21 = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_219])]) ).
fof(f5224,plain,
( sK21 != sK22
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| spl72_217 ),
inference(subsumption_resolution,[],[f5222,f619]) ).
fof(f5222,plain,
( sK21 != sK22
| ~ ssList(sK21)
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| spl72_217 ),
inference(resolution,[],[f5218,f3183]) ).
fof(f5229,plain,
( ~ spl72_218
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| spl72_217 ),
inference(avatar_split_clause,[],[f5223,f5217,f783,f677,f622,f617,f5226]) ).
fof(f5226,plain,
( spl72_218
<=> rearsegP(nil,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_218])]) ).
fof(f5223,plain,
( ~ rearsegP(nil,sK22)
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| spl72_217 ),
inference(subsumption_resolution,[],[f5221,f624]) ).
fof(f5221,plain,
( ~ rearsegP(nil,sK22)
| ~ ssList(sK22)
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| spl72_217 ),
inference(resolution,[],[f5218,f3321]) ).
fof(f5220,plain,
( ~ spl72_216
| spl72_217
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_196
| ~ spl72_206 ),
inference(avatar_split_clause,[],[f5211,f4647,f4250,f783,f677,f622,f617,f5217,f5213]) ).
fof(f5213,plain,
( spl72_216
<=> rearsegP(nil,cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_216])]) ).
fof(f5211,plain,
( rearsegP(sK21,sK22)
| ~ rearsegP(nil,cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f5210,f4252]) ).
fof(f5210,plain,
( rearsegP(sK21,sK22)
| ~ rearsegP(nil,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_196
| ~ spl72_206 ),
inference(subsumption_resolution,[],[f5189,f619]) ).
fof(f5189,plain,
( rearsegP(sK21,sK22)
| ~ ssList(sK21)
| ~ rearsegP(nil,cons(sK70,sK22))
| ~ ssList(cons(sK70,sK22))
| ~ spl72_1
| ~ spl72_2
| ~ spl72_13
| ~ spl72_21
| ~ spl72_196
| ~ spl72_206 ),
inference(resolution,[],[f4655,f3321]) ).
fof(f5068,plain,
( spl72_215
| ~ spl72_15
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5057,f4307,f687,f5065]) ).
fof(f5065,plain,
( spl72_215
<=> sK71 = hd(cons(sK71,cons(sK71,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_215])]) ).
fof(f687,plain,
( spl72_15
<=> ssItem(sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f5057,plain,
( sK71 = hd(cons(sK71,cons(sK71,sK22)))
| ~ spl72_15
| ~ spl72_199 ),
inference(resolution,[],[f4318,f689]) ).
fof(f689,plain,
( ssItem(sK71)
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f5063,plain,
( spl72_214
| ~ spl72_14
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f5056,f4307,f682,f5060]) ).
fof(f5060,plain,
( spl72_214
<=> sK70 = hd(cons(sK70,cons(sK71,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_214])]) ).
fof(f682,plain,
( spl72_14
<=> ssItem(sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f5056,plain,
( sK70 = hd(cons(sK70,cons(sK71,sK22)))
| ~ spl72_14
| ~ spl72_199 ),
inference(resolution,[],[f4318,f684]) ).
fof(f684,plain,
( ssItem(sK70)
| ~ spl72_14 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f5017,plain,
( spl72_213
| ~ spl72_15
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4967,f4250,f687,f5014]) ).
fof(f5014,plain,
( spl72_213
<=> sK71 = hd(cons(sK71,cons(sK70,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_213])]) ).
fof(f4967,plain,
( sK71 = hd(cons(sK71,cons(sK70,sK22)))
| ~ spl72_15
| ~ spl72_196 ),
inference(resolution,[],[f4261,f689]) ).
fof(f4973,plain,
( spl72_212
| ~ spl72_14
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4966,f4250,f682,f4970]) ).
fof(f4970,plain,
( spl72_212
<=> sK70 = hd(cons(sK70,cons(sK70,sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_212])]) ).
fof(f4966,plain,
( sK70 = hd(cons(sK70,cons(sK70,sK22)))
| ~ spl72_14
| ~ spl72_196 ),
inference(resolution,[],[f4261,f684]) ).
fof(f4943,plain,
( spl72_210
| ~ spl72_211
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_147
| ~ spl72_195 ),
inference(avatar_split_clause,[],[f4855,f4221,f3038,f833,f677,f622,f4940,f4936]) ).
fof(f4936,plain,
( spl72_210
<=> nil = cons(sK71,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_210])]) ).
fof(f3038,plain,
( spl72_147
<=> ssList(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_147])]) ).
fof(f4221,plain,
( spl72_195
<=> cons(sK71,sK22) = app(cons(sK71,nil),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_195])]) ).
fof(f4855,plain,
( sK22 != cons(sK71,sK22)
| nil = cons(sK71,nil)
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_147
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f4853,f3039]) ).
fof(f3039,plain,
( ssList(cons(sK71,nil))
| ~ spl72_147 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f4853,plain,
( sK22 != cons(sK71,sK22)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil))
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_195 ),
inference(superposition,[],[f4762,f4223]) ).
fof(f4223,plain,
( cons(sK71,sK22) = app(cons(sK71,nil),sK22)
| ~ spl72_195 ),
inference(avatar_component_clause,[],[f4221]) ).
fof(f4762,plain,
( ! [X22] :
( sK22 != app(X22,sK22)
| nil = X22
| ~ ssList(X22) )
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25 ),
inference(subsumption_resolution,[],[f4761,f624]) ).
fof(f4761,plain,
( ! [X22] :
( sK22 != app(X22,sK22)
| nil = X22
| ~ ssList(sK22)
| ~ ssList(X22) )
| ~ spl72_13
| ~ spl72_25 ),
inference(subsumption_resolution,[],[f4682,f679]) ).
fof(f4682,plain,
( ! [X22] :
( sK22 != app(X22,sK22)
| nil = X22
| ~ ssList(nil)
| ~ ssList(sK22)
| ~ ssList(X22) )
| ~ spl72_25 ),
inference(superposition,[],[f608,f835]) ).
fof(f608,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,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.9tc6S3kmL3/Vampire---4.8_25589',ax79) ).
fof(f4934,plain,
( spl72_208
| ~ spl72_209
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_143
| ~ spl72_194 ),
inference(avatar_split_clause,[],[f4854,f4216,f2936,f833,f677,f622,f4931,f4927]) ).
fof(f4927,plain,
( spl72_208
<=> nil = cons(sK70,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_208])]) ).
fof(f4854,plain,
( sK22 != cons(sK70,sK22)
| nil = cons(sK70,nil)
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4852,f2937]) ).
fof(f4852,plain,
( sK22 != cons(sK70,sK22)
| nil = cons(sK70,nil)
| ~ ssList(cons(sK70,nil))
| ~ spl72_2
| ~ spl72_13
| ~ spl72_25
| ~ spl72_194 ),
inference(superposition,[],[f4762,f4218]) ).
fof(f4901,plain,
( spl72_207
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4872,f4307,f4221,f3038,f622,f4898]) ).
fof(f4872,plain,
( rearsegP(cons(sK71,sK22),sK22)
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f4871,f4309]) ).
fof(f4871,plain,
( rearsegP(cons(sK71,sK22),sK22)
| ~ ssList(cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195 ),
inference(equality_resolution,[],[f4301]) ).
fof(f4301,plain,
( ! [X3] :
( cons(sK71,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(X3) )
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f4300,f624]) ).
fof(f4300,plain,
( ! [X3] :
( cons(sK71,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(sK22)
| ~ ssList(X3) )
| ~ spl72_147
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f4287,f3039]) ).
fof(f4287,plain,
( ! [X3] :
( cons(sK71,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK22)
| ~ ssList(X3) )
| ~ spl72_195 ),
inference(superposition,[],[f597,f4223]) ).
fof(f4650,plain,
( spl72_206
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4645,f4250,f4216,f2936,f622,f4647]) ).
fof(f4645,plain,
( rearsegP(cons(sK70,sK22),sK22)
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194
| ~ spl72_196 ),
inference(subsumption_resolution,[],[f4644,f4252]) ).
fof(f4644,plain,
( rearsegP(cons(sK70,sK22),sK22)
| ~ ssList(cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194 ),
inference(equality_resolution,[],[f4243]) ).
fof(f4243,plain,
( ! [X3] :
( cons(sK70,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(X3) )
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4242,f624]) ).
fof(f4242,plain,
( ! [X3] :
( cons(sK70,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(sK22)
| ~ ssList(X3) )
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4229,f2937]) ).
fof(f4229,plain,
( ! [X3] :
( cons(sK70,sK22) != X3
| rearsegP(X3,sK22)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK22)
| ~ ssList(X3) )
| ~ spl72_194 ),
inference(superposition,[],[f597,f4218]) ).
fof(f4409,plain,
( spl72_205
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4312,f4307,f4406]) ).
fof(f4406,plain,
( spl72_205
<=> cons(sK71,sK22) = app(nil,cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_205])]) ).
fof(f4312,plain,
( cons(sK71,sK22) = app(nil,cons(sK71,sK22))
| ~ spl72_199 ),
inference(resolution,[],[f4309,f470]) ).
fof(f470,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.9tc6S3kmL3/Vampire---4.8_25589',ax28) ).
fof(f4404,plain,
( spl72_204
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4311,f4307,f4401]) ).
fof(f4401,plain,
( spl72_204
<=> cons(sK71,sK22) = app(cons(sK71,sK22),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_204])]) ).
fof(f4311,plain,
( cons(sK71,sK22) = app(cons(sK71,sK22),nil)
| ~ spl72_199 ),
inference(resolution,[],[f4309,f469]) ).
fof(f469,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.9tc6S3kmL3/Vampire---4.8_25589',ax84) ).
fof(f4399,plain,
( spl72_203
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4255,f4250,f4396]) ).
fof(f4396,plain,
( spl72_203
<=> cons(sK70,sK22) = app(nil,cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_203])]) ).
fof(f4255,plain,
( cons(sK70,sK22) = app(nil,cons(sK70,sK22))
| ~ spl72_196 ),
inference(resolution,[],[f4252,f470]) ).
fof(f4394,plain,
( spl72_202
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4254,f4250,f4391]) ).
fof(f4254,plain,
( cons(sK70,sK22) = app(cons(sK70,sK22),nil)
| ~ spl72_196 ),
inference(resolution,[],[f4252,f469]) ).
fof(f4337,plain,
( spl72_201
| ~ spl72_43
| spl72_106
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4327,f4307,f2344,f1290,f4334]) ).
fof(f4334,plain,
( spl72_201
<=> sK22 = sK28(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_201])]) ).
fof(f1290,plain,
( spl72_43
<=> sK22 = tl(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_43])]) ).
fof(f2344,plain,
( spl72_106
<=> nil = cons(sK71,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_106])]) ).
fof(f4327,plain,
( sK22 = sK28(cons(sK71,sK22))
| ~ spl72_43
| spl72_106
| ~ spl72_199 ),
inference(forward_demodulation,[],[f4326,f1292]) ).
fof(f1292,plain,
( sK22 = tl(cons(sK71,sK22))
| ~ spl72_43 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f4326,plain,
( tl(cons(sK71,sK22)) = sK28(cons(sK71,sK22))
| spl72_106
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f4316,f2346]) ).
fof(f2346,plain,
( nil != cons(sK71,sK22)
| spl72_106 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f4316,plain,
( nil = cons(sK71,sK22)
| tl(cons(sK71,sK22)) = sK28(cons(sK71,sK22))
| ~ spl72_199 ),
inference(resolution,[],[f4309,f480]) ).
fof(f480,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK28(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f160,f289]) ).
fof(f289,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.9tc6S3kmL3/Vampire---4.8_25589',ax76) ).
fof(f4332,plain,
( spl72_200
| ~ spl72_47
| spl72_106
| ~ spl72_199 ),
inference(avatar_split_clause,[],[f4325,f4307,f2344,f1363,f4329]) ).
fof(f4329,plain,
( spl72_200
<=> sK71 = sK27(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_200])]) ).
fof(f1363,plain,
( spl72_47
<=> sK71 = hd(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_47])]) ).
fof(f4325,plain,
( sK71 = sK27(cons(sK71,sK22))
| ~ spl72_47
| spl72_106
| ~ spl72_199 ),
inference(forward_demodulation,[],[f4324,f1365]) ).
fof(f1365,plain,
( sK71 = hd(cons(sK71,sK22))
| ~ spl72_47 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f4324,plain,
( hd(cons(sK71,sK22)) = sK27(cons(sK71,sK22))
| spl72_106
| ~ spl72_199 ),
inference(subsumption_resolution,[],[f4315,f2346]) ).
fof(f4315,plain,
( nil = cons(sK71,sK22)
| hd(cons(sK71,sK22)) = sK27(cons(sK71,sK22))
| ~ spl72_199 ),
inference(resolution,[],[f4309,f478]) ).
fof(f478,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK27(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f158,f287]) ).
fof(f287,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.9tc6S3kmL3/Vampire---4.8_25589',ax75) ).
fof(f4310,plain,
( spl72_199
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195 ),
inference(avatar_split_clause,[],[f4297,f4221,f3038,f622,f4307]) ).
fof(f4297,plain,
( ssList(cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_147
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f4296,f3039]) ).
fof(f4296,plain,
( ssList(cons(sK71,sK22))
| ~ ssList(cons(sK71,nil))
| ~ spl72_2
| ~ spl72_195 ),
inference(subsumption_resolution,[],[f4285,f624]) ).
fof(f4285,plain,
( ssList(cons(sK71,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK71,nil))
| ~ spl72_195 ),
inference(superposition,[],[f579,f4223]) ).
fof(f579,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.9tc6S3kmL3/Vampire---4.8_25589',ax26) ).
fof(f4280,plain,
( spl72_198
| ~ spl72_42
| spl72_64
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4270,f4250,f1662,f1285,f4277]) ).
fof(f4277,plain,
( spl72_198
<=> sK22 = sK28(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_198])]) ).
fof(f1285,plain,
( spl72_42
<=> sK22 = tl(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_42])]) ).
fof(f1662,plain,
( spl72_64
<=> nil = cons(sK70,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_64])]) ).
fof(f4270,plain,
( sK22 = sK28(cons(sK70,sK22))
| ~ spl72_42
| spl72_64
| ~ spl72_196 ),
inference(forward_demodulation,[],[f4269,f1287]) ).
fof(f1287,plain,
( sK22 = tl(cons(sK70,sK22))
| ~ spl72_42 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f4269,plain,
( tl(cons(sK70,sK22)) = sK28(cons(sK70,sK22))
| spl72_64
| ~ spl72_196 ),
inference(subsumption_resolution,[],[f4259,f1664]) ).
fof(f1664,plain,
( nil != cons(sK70,sK22)
| spl72_64 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f4259,plain,
( nil = cons(sK70,sK22)
| tl(cons(sK70,sK22)) = sK28(cons(sK70,sK22))
| ~ spl72_196 ),
inference(resolution,[],[f4252,f480]) ).
fof(f4275,plain,
( spl72_197
| ~ spl72_46
| spl72_64
| ~ spl72_196 ),
inference(avatar_split_clause,[],[f4268,f4250,f1662,f1358,f4272]) ).
fof(f4272,plain,
( spl72_197
<=> sK70 = sK27(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_197])]) ).
fof(f1358,plain,
( spl72_46
<=> sK70 = hd(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f4268,plain,
( sK70 = sK27(cons(sK70,sK22))
| ~ spl72_46
| spl72_64
| ~ spl72_196 ),
inference(forward_demodulation,[],[f4267,f1360]) ).
fof(f1360,plain,
( sK70 = hd(cons(sK70,sK22))
| ~ spl72_46 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f4267,plain,
( hd(cons(sK70,sK22)) = sK27(cons(sK70,sK22))
| spl72_64
| ~ spl72_196 ),
inference(subsumption_resolution,[],[f4258,f1664]) ).
fof(f4258,plain,
( nil = cons(sK70,sK22)
| hd(cons(sK70,sK22)) = sK27(cons(sK70,sK22))
| ~ spl72_196 ),
inference(resolution,[],[f4252,f478]) ).
fof(f4253,plain,
( spl72_196
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194 ),
inference(avatar_split_clause,[],[f4239,f4216,f2936,f622,f4250]) ).
fof(f4239,plain,
( ssList(cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_143
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4238,f2937]) ).
fof(f4238,plain,
( ssList(cons(sK70,sK22))
| ~ ssList(cons(sK70,nil))
| ~ spl72_2
| ~ spl72_194 ),
inference(subsumption_resolution,[],[f4227,f624]) ).
fof(f4227,plain,
( ssList(cons(sK70,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK70,nil))
| ~ spl72_194 ),
inference(superposition,[],[f579,f4218]) ).
fof(f4224,plain,
( spl72_195
| ~ spl72_2
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f4213,f687,f622,f4221]) ).
fof(f4213,plain,
( cons(sK71,sK22) = app(cons(sK71,nil),sK22)
| ~ spl72_2
| ~ spl72_15 ),
inference(resolution,[],[f2193,f689]) ).
fof(f2193,plain,
( ! [X13] :
( ~ ssItem(X13)
| cons(X13,sK22) = app(cons(X13,nil),sK22) )
| ~ spl72_2 ),
inference(resolution,[],[f574,f624]) ).
fof(f574,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.9tc6S3kmL3/Vampire---4.8_25589',ax81) ).
fof(f4219,plain,
( spl72_194
| ~ spl72_2
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f4212,f682,f622,f4216]) ).
fof(f4212,plain,
( cons(sK70,sK22) = app(cons(sK70,nil),sK22)
| ~ spl72_2
| ~ spl72_14 ),
inference(resolution,[],[f2193,f684]) ).
fof(f3999,plain,
( spl72_192
| ~ spl72_74
| ~ spl72_116
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3763,f3042,f2462,f1965,f3990]) ).
fof(f3990,plain,
( spl72_192
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_192])]) ).
fof(f3763,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK21)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_148 ),
inference(forward_demodulation,[],[f3744,f2464]) ).
fof(f3744,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK71,sK21)))
| ~ spl72_74
| ~ spl72_148 ),
inference(resolution,[],[f3085,f1966]) ).
fof(f3085,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK71,sK21))) = X1 )
| ~ spl72_148 ),
inference(resolution,[],[f3044,f573]) ).
fof(f3998,plain,
( spl72_193
| ~ spl72_72
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3743,f3042,f1946,f3995]) ).
fof(f3995,plain,
( spl72_193
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_193])]) ).
fof(f3743,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,sK21)))
| ~ spl72_72
| ~ spl72_148 ),
inference(resolution,[],[f3085,f1947]) ).
fof(f3993,plain,
( spl72_192
| ~ spl72_78
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3741,f3042,f2022,f3990]) ).
fof(f3741,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,sK21)))
| ~ spl72_78
| ~ spl72_148 ),
inference(resolution,[],[f3085,f2023]) ).
fof(f3947,plain,
( spl72_191
| ~ spl72_76
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3740,f3042,f2003,f3944]) ).
fof(f3944,plain,
( spl72_191
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_191])]) ).
fof(f3740,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK71,sK21)))
| ~ spl72_76
| ~ spl72_148 ),
inference(resolution,[],[f3085,f2004]) ).
fof(f3942,plain,
( spl72_189
| ~ spl72_74
| ~ spl72_116
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3709,f3038,f2462,f1965,f3933]) ).
fof(f3933,plain,
( spl72_189
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_189])]) ).
fof(f3709,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,nil)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_147 ),
inference(forward_demodulation,[],[f3690,f2464]) ).
fof(f3690,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK71,nil)))
| ~ spl72_74
| ~ spl72_147 ),
inference(resolution,[],[f3057,f1966]) ).
fof(f3057,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK71,nil))) = X1 )
| ~ spl72_147 ),
inference(resolution,[],[f3039,f573]) ).
fof(f3941,plain,
( spl72_190
| ~ spl72_72
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3689,f3038,f1946,f3938]) ).
fof(f3938,plain,
( spl72_190
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_190])]) ).
fof(f3689,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK71,nil)))
| ~ spl72_72
| ~ spl72_147 ),
inference(resolution,[],[f3057,f1947]) ).
fof(f3936,plain,
( spl72_189
| ~ spl72_78
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3687,f3038,f2022,f3933]) ).
fof(f3687,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK71,nil)))
| ~ spl72_78
| ~ spl72_147 ),
inference(resolution,[],[f3057,f2023]) ).
fof(f3931,plain,
( spl72_188
| ~ spl72_76
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3686,f3038,f2003,f3928]) ).
fof(f3928,plain,
( spl72_188
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_188])]) ).
fof(f3686,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK71,nil)))
| ~ spl72_76
| ~ spl72_147 ),
inference(resolution,[],[f3057,f2004]) ).
fof(f3926,plain,
( spl72_186
| ~ spl72_74
| ~ spl72_116
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3658,f2940,f2462,f1965,f3917]) ).
fof(f3917,plain,
( spl72_186
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_186])]) ).
fof(f3658,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK21)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_144 ),
inference(forward_demodulation,[],[f3639,f2464]) ).
fof(f3639,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK70,sK21)))
| ~ spl72_74
| ~ spl72_144 ),
inference(resolution,[],[f2993,f1966]) ).
fof(f2993,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK70,sK21))) = X1 )
| ~ spl72_144 ),
inference(resolution,[],[f2942,f573]) ).
fof(f3925,plain,
( spl72_187
| ~ spl72_72
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3638,f2940,f1946,f3922]) ).
fof(f3922,plain,
( spl72_187
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_187])]) ).
fof(f3638,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,sK21)))
| ~ spl72_72
| ~ spl72_144 ),
inference(resolution,[],[f2993,f1947]) ).
fof(f3920,plain,
( spl72_186
| ~ spl72_78
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3636,f2940,f2022,f3917]) ).
fof(f3636,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,sK21)))
| ~ spl72_78
| ~ spl72_144 ),
inference(resolution,[],[f2993,f2023]) ).
fof(f3915,plain,
( spl72_185
| ~ spl72_76
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3635,f2940,f2003,f3912]) ).
fof(f3912,plain,
( spl72_185
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_185])]) ).
fof(f3635,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK70,sK21)))
| ~ spl72_76
| ~ spl72_144 ),
inference(resolution,[],[f2993,f2004]) ).
fof(f3910,plain,
( spl72_183
| ~ spl72_74
| ~ spl72_116
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3607,f2936,f2462,f1965,f3893]) ).
fof(f3893,plain,
( spl72_183
<=> hd(sK22) = hd(cons(hd(sK22),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_183])]) ).
fof(f3607,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,nil)))
| ~ spl72_74
| ~ spl72_116
| ~ spl72_143 ),
inference(forward_demodulation,[],[f3588,f2464]) ).
fof(f3588,plain,
( sK26(sK22) = hd(cons(sK26(sK22),cons(sK70,nil)))
| ~ spl72_74
| ~ spl72_143 ),
inference(resolution,[],[f2955,f1966]) ).
fof(f2955,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,cons(sK70,nil))) = X1 )
| ~ spl72_143 ),
inference(resolution,[],[f2937,f573]) ).
fof(f3909,plain,
( spl72_184
| ~ spl72_72
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3587,f2936,f1946,f3906]) ).
fof(f3906,plain,
( spl72_184
<=> sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_184])]) ).
fof(f3587,plain,
( sK26(sK21) = hd(cons(sK26(sK21),cons(sK70,nil)))
| ~ spl72_72
| ~ spl72_143 ),
inference(resolution,[],[f2955,f1947]) ).
fof(f3896,plain,
( spl72_183
| ~ spl72_78
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3585,f2936,f2022,f3893]) ).
fof(f3585,plain,
( hd(sK22) = hd(cons(hd(sK22),cons(sK70,nil)))
| ~ spl72_78
| ~ spl72_143 ),
inference(resolution,[],[f2955,f2023]) ).
fof(f3891,plain,
( spl72_182
| ~ spl72_76
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3584,f2936,f2003,f3888]) ).
fof(f3888,plain,
( spl72_182
<=> hd(sK21) = hd(cons(hd(sK21),cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_182])]) ).
fof(f3584,plain,
( hd(sK21) = hd(cons(hd(sK21),cons(sK70,nil)))
| ~ spl72_76
| ~ spl72_143 ),
inference(resolution,[],[f2955,f2004]) ).
fof(f3885,plain,
( ~ spl72_181
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| ~ spl72_148
| spl72_179 ),
inference(avatar_split_clause,[],[f3880,f3871,f3042,f783,f677,f617,f3882]) ).
fof(f3882,plain,
( spl72_181
<=> rearsegP(nil,cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_181])]) ).
fof(f3871,plain,
( spl72_179
<=> rearsegP(sK21,cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_179])]) ).
fof(f3880,plain,
( ~ rearsegP(nil,cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| ~ spl72_148
| spl72_179 ),
inference(subsumption_resolution,[],[f3879,f3044]) ).
fof(f3879,plain,
( ~ rearsegP(nil,cons(sK71,sK21))
| ~ ssList(cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| spl72_179 ),
inference(resolution,[],[f3873,f3321]) ).
fof(f3873,plain,
( ~ rearsegP(sK21,cons(sK71,sK21))
| spl72_179 ),
inference(avatar_component_clause,[],[f3871]) ).
fof(f3878,plain,
( ~ spl72_179
| spl72_180
| ~ spl72_1
| ~ spl72_148
| ~ spl72_167 ),
inference(avatar_split_clause,[],[f3567,f3558,f3042,f617,f3875,f3871]) ).
fof(f3875,plain,
( spl72_180
<=> sK21 = cons(sK71,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_180])]) ).
fof(f3567,plain,
( sK21 = cons(sK71,sK21)
| ~ rearsegP(sK21,cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_148
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f3566,f619]) ).
fof(f3566,plain,
( sK21 = cons(sK71,sK21)
| ~ rearsegP(sK21,cons(sK71,sK21))
| ~ ssList(sK21)
| ~ spl72_148
| ~ spl72_167 ),
inference(subsumption_resolution,[],[f3563,f3044]) ).
fof(f3563,plain,
( sK21 = cons(sK71,sK21)
| ~ rearsegP(sK21,cons(sK71,sK21))
| ~ ssList(cons(sK71,sK21))
| ~ ssList(sK21)
| ~ spl72_167 ),
inference(resolution,[],[f3560,f585]) ).
fof(f3868,plain,
( ~ spl72_178
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| ~ spl72_144
| spl72_176 ),
inference(avatar_split_clause,[],[f3863,f3852,f2940,f783,f677,f617,f3865]) ).
fof(f3865,plain,
( spl72_178
<=> rearsegP(nil,cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_178])]) ).
fof(f3852,plain,
( spl72_176
<=> rearsegP(sK21,cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_176])]) ).
fof(f3863,plain,
( ~ rearsegP(nil,cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| ~ spl72_144
| spl72_176 ),
inference(subsumption_resolution,[],[f3862,f2942]) ).
fof(f3862,plain,
( ~ rearsegP(nil,cons(sK70,sK21))
| ~ ssList(cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_13
| ~ spl72_21
| spl72_176 ),
inference(resolution,[],[f3854,f3321]) ).
fof(f3854,plain,
( ~ rearsegP(sK21,cons(sK70,sK21))
| spl72_176 ),
inference(avatar_component_clause,[],[f3852]) ).
fof(f3859,plain,
( ~ spl72_176
| spl72_177
| ~ spl72_1
| ~ spl72_144
| ~ spl72_166 ),
inference(avatar_split_clause,[],[f3554,f3545,f2940,f617,f3856,f3852]) ).
fof(f3856,plain,
( spl72_177
<=> sK21 = cons(sK70,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_177])]) ).
fof(f3554,plain,
( sK21 = cons(sK70,sK21)
| ~ rearsegP(sK21,cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_144
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f3553,f619]) ).
fof(f3553,plain,
( sK21 = cons(sK70,sK21)
| ~ rearsegP(sK21,cons(sK70,sK21))
| ~ ssList(sK21)
| ~ spl72_144
| ~ spl72_166 ),
inference(subsumption_resolution,[],[f3550,f2942]) ).
fof(f3550,plain,
( sK21 = cons(sK70,sK21)
| ~ rearsegP(sK21,cons(sK70,sK21))
| ~ ssList(cons(sK70,sK21))
| ~ ssList(sK21)
| ~ spl72_166 ),
inference(resolution,[],[f3547,f585]) ).
fof(f3773,plain,
( spl72_175
| ~ spl72_15
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3762,f3042,f687,f3770]) ).
fof(f3770,plain,
( spl72_175
<=> sK71 = hd(cons(sK71,cons(sK71,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_175])]) ).
fof(f3762,plain,
( sK71 = hd(cons(sK71,cons(sK71,sK21)))
| ~ spl72_15
| ~ spl72_148 ),
inference(resolution,[],[f3085,f689]) ).
fof(f3768,plain,
( spl72_174
| ~ spl72_14
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3761,f3042,f682,f3765]) ).
fof(f3765,plain,
( spl72_174
<=> sK70 = hd(cons(sK70,cons(sK71,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_174])]) ).
fof(f3761,plain,
( sK70 = hd(cons(sK70,cons(sK71,sK21)))
| ~ spl72_14
| ~ spl72_148 ),
inference(resolution,[],[f3085,f684]) ).
fof(f3722,plain,
( spl72_173
| ~ spl72_15
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3708,f3038,f687,f3719]) ).
fof(f3719,plain,
( spl72_173
<=> sK71 = hd(cons(sK71,cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_173])]) ).
fof(f3708,plain,
( sK71 = hd(cons(sK71,cons(sK71,nil)))
| ~ spl72_15
| ~ spl72_147 ),
inference(resolution,[],[f3057,f689]) ).
fof(f3717,plain,
( spl72_172
| ~ spl72_14
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3707,f3038,f682,f3714]) ).
fof(f3714,plain,
( spl72_172
<=> sK70 = hd(cons(sK70,cons(sK71,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_172])]) ).
fof(f3707,plain,
( sK70 = hd(cons(sK70,cons(sK71,nil)))
| ~ spl72_14
| ~ spl72_147 ),
inference(resolution,[],[f3057,f684]) ).
fof(f3668,plain,
( spl72_171
| ~ spl72_15
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3657,f2940,f687,f3665]) ).
fof(f3665,plain,
( spl72_171
<=> sK71 = hd(cons(sK71,cons(sK70,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_171])]) ).
fof(f3657,plain,
( sK71 = hd(cons(sK71,cons(sK70,sK21)))
| ~ spl72_15
| ~ spl72_144 ),
inference(resolution,[],[f2993,f689]) ).
fof(f3663,plain,
( spl72_170
| ~ spl72_14
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3656,f2940,f682,f3660]) ).
fof(f3660,plain,
( spl72_170
<=> sK70 = hd(cons(sK70,cons(sK70,sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_170])]) ).
fof(f3656,plain,
( sK70 = hd(cons(sK70,cons(sK70,sK21)))
| ~ spl72_14
| ~ spl72_144 ),
inference(resolution,[],[f2993,f684]) ).
fof(f3617,plain,
( spl72_169
| ~ spl72_15
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3606,f2936,f687,f3614]) ).
fof(f3614,plain,
( spl72_169
<=> sK71 = hd(cons(sK71,cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_169])]) ).
fof(f3606,plain,
( sK71 = hd(cons(sK71,cons(sK70,nil)))
| ~ spl72_15
| ~ spl72_143 ),
inference(resolution,[],[f2955,f689]) ).
fof(f3612,plain,
( spl72_168
| ~ spl72_14
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f3605,f2936,f682,f3609]) ).
fof(f3609,plain,
( spl72_168
<=> sK70 = hd(cons(sK70,cons(sK70,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_168])]) ).
fof(f3605,plain,
( sK70 = hd(cons(sK70,cons(sK70,nil)))
| ~ spl72_14
| ~ spl72_143 ),
inference(resolution,[],[f2955,f684]) ).
fof(f3561,plain,
( spl72_167
| ~ spl72_1
| ~ spl72_142
| ~ spl72_147
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3556,f3042,f3038,f2923,f617,f3558]) ).
fof(f2923,plain,
( spl72_142
<=> cons(sK71,sK21) = app(cons(sK71,nil),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_142])]) ).
fof(f3556,plain,
( rearsegP(cons(sK71,sK21),sK21)
| ~ spl72_1
| ~ spl72_142
| ~ spl72_147
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f3555,f3044]) ).
fof(f3555,plain,
( rearsegP(cons(sK71,sK21),sK21)
| ~ ssList(cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_142
| ~ spl72_147 ),
inference(equality_resolution,[],[f3181]) ).
fof(f3181,plain,
( ! [X8] :
( cons(sK71,sK21) != X8
| rearsegP(X8,sK21)
| ~ ssList(X8) )
| ~ spl72_1
| ~ spl72_142
| ~ spl72_147 ),
inference(subsumption_resolution,[],[f3180,f619]) ).
fof(f3180,plain,
( ! [X8] :
( cons(sK71,sK21) != X8
| rearsegP(X8,sK21)
| ~ ssList(sK21)
| ~ ssList(X8) )
| ~ spl72_142
| ~ spl72_147 ),
inference(subsumption_resolution,[],[f3169,f3039]) ).
fof(f3169,plain,
( ! [X8] :
( cons(sK71,sK21) != X8
| rearsegP(X8,sK21)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK21)
| ~ ssList(X8) )
| ~ spl72_142 ),
inference(superposition,[],[f597,f2925]) ).
fof(f2925,plain,
( cons(sK71,sK21) = app(cons(sK71,nil),sK21)
| ~ spl72_142 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f3548,plain,
( spl72_166
| ~ spl72_1
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3543,f2940,f2936,f2918,f617,f3545]) ).
fof(f3543,plain,
( rearsegP(cons(sK70,sK21),sK21)
| ~ spl72_1
| ~ spl72_141
| ~ spl72_143
| ~ spl72_144 ),
inference(subsumption_resolution,[],[f3542,f2942]) ).
fof(f3542,plain,
( rearsegP(cons(sK70,sK21),sK21)
| ~ ssList(cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_141
| ~ spl72_143 ),
inference(equality_resolution,[],[f3179]) ).
fof(f3179,plain,
( ! [X7] :
( cons(sK70,sK21) != X7
| rearsegP(X7,sK21)
| ~ ssList(X7) )
| ~ spl72_1
| ~ spl72_141
| ~ spl72_143 ),
inference(subsumption_resolution,[],[f3178,f619]) ).
fof(f3178,plain,
( ! [X7] :
( cons(sK70,sK21) != X7
| rearsegP(X7,sK21)
| ~ ssList(sK21)
| ~ ssList(X7) )
| ~ spl72_141
| ~ spl72_143 ),
inference(subsumption_resolution,[],[f3168,f2937]) ).
fof(f3168,plain,
( ! [X7] :
( cons(sK70,sK21) != X7
| rearsegP(X7,sK21)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK21)
| ~ ssList(X7) )
| ~ spl72_141 ),
inference(superposition,[],[f597,f2920]) ).
fof(f3512,plain,
( ~ spl72_13
| ~ spl72_39
| spl72_164 ),
inference(avatar_contradiction_clause,[],[f3511]) ).
fof(f3511,plain,
( $false
| ~ spl72_13
| ~ spl72_39
| spl72_164 ),
inference(subsumption_resolution,[],[f3510,f679]) ).
fof(f3510,plain,
( ~ ssList(nil)
| ~ spl72_39
| spl72_164 ),
inference(subsumption_resolution,[],[f3509,f1212]) ).
fof(f1212,plain,
( rearsegP(nil,nil)
| ~ spl72_39 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1210,plain,
( spl72_39
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_39])]) ).
fof(f3509,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl72_164 ),
inference(duplicate_literal_removal,[],[f3508]) ).
fof(f3508,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl72_164 ),
inference(resolution,[],[f3502,f595]) ).
fof(f595,plain,
! [X0,X1] :
( ssList(sK69(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f3502,plain,
( ~ ssList(sK69(nil,nil))
| spl72_164 ),
inference(avatar_component_clause,[],[f3500]) ).
fof(f3500,plain,
( spl72_164
<=> ssList(sK69(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_164])]) ).
fof(f3507,plain,
( ~ spl72_164
| spl72_165
| ~ spl72_13
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f3216,f3201,f677,f3504,f3500]) ).
fof(f3504,plain,
( spl72_165
<=> nil = sK69(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_165])]) ).
fof(f3201,plain,
( spl72_152
<=> nil = app(sK69(nil,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_152])]) ).
fof(f3216,plain,
( nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil))
| ~ spl72_13
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f3212,f679]) ).
fof(f3212,plain,
( nil = sK69(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil))
| ~ spl72_152 ),
inference(trivial_inequality_removal,[],[f3211]) ).
fof(f3211,plain,
( nil != nil
| nil = sK69(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil))
| ~ spl72_152 ),
inference(superposition,[],[f599,f3203]) ).
fof(f3203,plain,
( nil = app(sK69(nil,nil),nil)
| ~ spl72_152 ),
inference(avatar_component_clause,[],[f3201]) ).
fof(f599,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f380,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,[],[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(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.9tc6S3kmL3/Vampire---4.8_25589',ax83) ).
fof(f3372,plain,
( spl72_163
| ~ spl72_2
| spl72_57
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3157,f3042,f1606,f622,f3369]) ).
fof(f3369,plain,
( spl72_163
<=> sK22 = tl(cons(sK54(cons(sK71,sK21)),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_163])]) ).
fof(f1606,plain,
( spl72_57
<=> totalorderedP(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_57])]) ).
fof(f3157,plain,
( sK22 = tl(cons(sK54(cons(sK71,sK21)),sK22))
| ~ spl72_2
| spl72_57
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f3153,f3044]) ).
fof(f3153,plain,
( sK22 = tl(cons(sK54(cons(sK71,sK21)),sK22))
| ~ ssList(cons(sK71,sK21))
| ~ spl72_2
| spl72_57 ),
inference(resolution,[],[f1608,f1410]) ).
fof(f1410,plain,
( ! [X0] :
( totalorderedP(X0)
| sK22 = tl(cons(sK54(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1278,f719]) ).
fof(f719,plain,
! [X0] :
( ~ sP16(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f542,f551]) ).
fof(f551,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f173,f249,f248]) ).
fof(f248,plain,
! [X0] :
( sP16(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,[sP16])]) ).
fof(f249,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax11) ).
fof(f542,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ totalorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f249]) ).
fof(f1278,plain,
( ! [X14] :
( sP16(X14)
| sK22 = tl(cons(sK54(X14),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f544]) ).
fof(f544,plain,
! [X0] :
( ssItem(sK54(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( sP16(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) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57,sK58])],[f341,f346,f345,f344,f343,f342]) ).
fof(f342,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(f343,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(f344,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(f345,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(f346,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(f341,plain,
! [X0] :
( ( sP16(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) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ( sP16(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) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f1116,plain,
( ! [X13] :
( ~ ssItem(X13)
| sK22 = tl(cons(X13,sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f572,f624]) ).
fof(f572,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.9tc6S3kmL3/Vampire---4.8_25589',ax25) ).
fof(f1608,plain,
( ~ totalorderedP(cons(sK71,sK21))
| spl72_57 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f3367,plain,
( spl72_162
| ~ spl72_2
| spl72_57
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3156,f3042,f1606,f622,f3364]) ).
fof(f3364,plain,
( spl72_162
<=> sK22 = tl(cons(sK55(cons(sK71,sK21)),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_162])]) ).
fof(f3156,plain,
( sK22 = tl(cons(sK55(cons(sK71,sK21)),sK22))
| ~ spl72_2
| spl72_57
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f3152,f3044]) ).
fof(f3152,plain,
( sK22 = tl(cons(sK55(cons(sK71,sK21)),sK22))
| ~ ssList(cons(sK71,sK21))
| ~ spl72_2
| spl72_57 ),
inference(resolution,[],[f1608,f1411]) ).
fof(f1411,plain,
( ! [X0] :
( totalorderedP(X0)
| sK22 = tl(cons(sK55(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1279,f719]) ).
fof(f1279,plain,
( ! [X15] :
( sP16(X15)
| sK22 = tl(cons(sK55(X15),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f545]) ).
fof(f545,plain,
! [X0] :
( ssItem(sK55(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f3362,plain,
( spl72_161
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3079,f3042,f3359]) ).
fof(f3359,plain,
( spl72_161
<=> cons(sK71,sK21) = app(nil,cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_161])]) ).
fof(f3079,plain,
( cons(sK71,sK21) = app(nil,cons(sK71,sK21))
| ~ spl72_148 ),
inference(resolution,[],[f3044,f470]) ).
fof(f3357,plain,
( spl72_160
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3078,f3042,f3354]) ).
fof(f3354,plain,
( spl72_160
<=> cons(sK71,sK21) = app(cons(sK71,sK21),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_160])]) ).
fof(f3078,plain,
( cons(sK71,sK21) = app(cons(sK71,sK21),nil)
| ~ spl72_148 ),
inference(resolution,[],[f3044,f469]) ).
fof(f3352,plain,
( spl72_159
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3051,f3038,f3349]) ).
fof(f3349,plain,
( spl72_159
<=> cons(sK71,nil) = app(nil,cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_159])]) ).
fof(f3051,plain,
( cons(sK71,nil) = app(nil,cons(sK71,nil))
| ~ spl72_147 ),
inference(resolution,[],[f3039,f470]) ).
fof(f3347,plain,
( spl72_158
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3050,f3038,f3344]) ).
fof(f3344,plain,
( spl72_158
<=> cons(sK71,nil) = app(cons(sK71,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_158])]) ).
fof(f3050,plain,
( cons(sK71,nil) = app(cons(sK71,nil),nil)
| ~ spl72_147 ),
inference(resolution,[],[f3039,f469]) ).
fof(f3298,plain,
( spl72_157
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f2987,f2940,f3295]) ).
fof(f3295,plain,
( spl72_157
<=> cons(sK70,sK21) = app(nil,cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_157])]) ).
fof(f2987,plain,
( cons(sK70,sK21) = app(nil,cons(sK70,sK21))
| ~ spl72_144 ),
inference(resolution,[],[f2942,f470]) ).
fof(f3293,plain,
( spl72_156
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f2986,f2940,f3290]) ).
fof(f3290,plain,
( spl72_156
<=> cons(sK70,sK21) = app(cons(sK70,sK21),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_156])]) ).
fof(f2986,plain,
( cons(sK70,sK21) = app(cons(sK70,sK21),nil)
| ~ spl72_144 ),
inference(resolution,[],[f2942,f469]) ).
fof(f3288,plain,
( spl72_155
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f2949,f2936,f3285]) ).
fof(f3285,plain,
( spl72_155
<=> cons(sK70,nil) = app(nil,cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_155])]) ).
fof(f2949,plain,
( cons(sK70,nil) = app(nil,cons(sK70,nil))
| ~ spl72_143 ),
inference(resolution,[],[f2937,f470]) ).
fof(f3283,plain,
( spl72_154
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f2948,f2936,f3280]) ).
fof(f3280,plain,
( spl72_154
<=> cons(sK70,nil) = app(cons(sK70,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_154])]) ).
fof(f2948,plain,
( cons(sK70,nil) = app(cons(sK70,nil),nil)
| ~ spl72_143 ),
inference(resolution,[],[f2937,f469]) ).
fof(f3254,plain,
( spl72_153
| ~ spl72_1
| ~ spl72_2
| spl72_150 ),
inference(avatar_split_clause,[],[f3146,f3138,f622,f617,f3251]) ).
fof(f3251,plain,
( spl72_153
<=> sK22 = tl(cons(sK55(sK21),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_153])]) ).
fof(f3138,plain,
( spl72_150
<=> totalorderedP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_150])]) ).
fof(f3146,plain,
( sK22 = tl(cons(sK55(sK21),sK22))
| ~ spl72_1
| ~ spl72_2
| spl72_150 ),
inference(subsumption_resolution,[],[f3142,f619]) ).
fof(f3142,plain,
( sK22 = tl(cons(sK55(sK21),sK22))
| ~ ssList(sK21)
| ~ spl72_2
| spl72_150 ),
inference(resolution,[],[f3139,f1411]) ).
fof(f3139,plain,
( ~ totalorderedP(sK21)
| spl72_150 ),
inference(avatar_component_clause,[],[f3138]) ).
fof(f3204,plain,
( spl72_152
| ~ spl72_13
| ~ spl72_39 ),
inference(avatar_split_clause,[],[f3077,f1210,f677,f3201]) ).
fof(f3077,plain,
( nil = app(sK69(nil,nil),nil)
| ~ spl72_13
| ~ spl72_39 ),
inference(subsumption_resolution,[],[f3069,f679]) ).
fof(f3069,plain,
( nil = app(sK69(nil,nil),nil)
| ~ ssList(nil)
| ~ spl72_39 ),
inference(duplicate_literal_removal,[],[f3068]) ).
fof(f3068,plain,
( nil = app(sK69(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl72_39 ),
inference(resolution,[],[f596,f1212]) ).
fof(f596,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK69(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f378]) ).
fof(f3197,plain,
( spl72_151
| ~ spl72_41
| spl72_59
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3094,f3042,f1628,f1258,f3194]) ).
fof(f3194,plain,
( spl72_151
<=> sK21 = sK28(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_151])]) ).
fof(f1258,plain,
( spl72_41
<=> sK21 = tl(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_41])]) ).
fof(f1628,plain,
( spl72_59
<=> nil = cons(sK71,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_59])]) ).
fof(f3094,plain,
( sK21 = sK28(cons(sK71,sK21))
| ~ spl72_41
| spl72_59
| ~ spl72_148 ),
inference(forward_demodulation,[],[f3093,f1260]) ).
fof(f1260,plain,
( sK21 = tl(cons(sK71,sK21))
| ~ spl72_41 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f3093,plain,
( tl(cons(sK71,sK21)) = sK28(cons(sK71,sK21))
| spl72_59
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f3083,f1630]) ).
fof(f1630,plain,
( nil != cons(sK71,sK21)
| spl72_59 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f3083,plain,
( nil = cons(sK71,sK21)
| tl(cons(sK71,sK21)) = sK28(cons(sK71,sK21))
| ~ spl72_148 ),
inference(resolution,[],[f3044,f480]) ).
fof(f3192,plain,
( spl72_149
| ~ spl72_45
| spl72_59
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3092,f3042,f1628,f1327,f3096]) ).
fof(f3096,plain,
( spl72_149
<=> sK71 = sK27(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_149])]) ).
fof(f1327,plain,
( spl72_45
<=> sK71 = hd(cons(sK71,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_45])]) ).
fof(f3092,plain,
( sK71 = sK27(cons(sK71,sK21))
| ~ spl72_45
| spl72_59
| ~ spl72_148 ),
inference(forward_demodulation,[],[f3091,f1329]) ).
fof(f1329,plain,
( sK71 = hd(cons(sK71,sK21))
| ~ spl72_45 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f3091,plain,
( hd(cons(sK71,sK21)) = sK27(cons(sK71,sK21))
| spl72_59
| ~ spl72_148 ),
inference(subsumption_resolution,[],[f3082,f1630]) ).
fof(f3082,plain,
( nil = cons(sK71,sK21)
| hd(cons(sK71,sK21)) = sK27(cons(sK71,sK21))
| ~ spl72_148 ),
inference(resolution,[],[f3044,f478]) ).
fof(f3191,plain,
( ~ spl72_59
| spl72_58 ),
inference(avatar_split_clause,[],[f1619,f1610,f1628]) ).
fof(f1610,plain,
( spl72_58
<=> sP2(cons(sK71,sK21),sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_58])]) ).
fof(f1619,plain,
( nil != cons(sK71,sK21)
| spl72_58 ),
inference(resolution,[],[f1611,f449]) ).
fof(f449,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1611,plain,
( ~ sP2(cons(sK71,sK21),sK71)
| spl72_58 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f3190,plain,
( ~ spl72_59
| ~ spl72_1
| spl72_33
| ~ spl72_142
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3108,f3038,f2923,f1080,f617,f1628]) ).
fof(f1080,plain,
( spl72_33
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_33])]) ).
fof(f3108,plain,
( nil != cons(sK71,sK21)
| ~ spl72_1
| spl72_33
| ~ spl72_142
| ~ spl72_147 ),
inference(global_subsumption,[],[f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f619,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f756,f470,f800,f801,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f975,f482,f1095,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1018,f1081,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1115,f1227,f1228,f1229,f586,f1181,f1296,f1297,f1298,f1299,f587,f483,f1373,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1242,f1243,f1244,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1300,f1414,f1301,f1415,f1302,f1416,f1303,f1417,f1304,f1418,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1305,f1425,f1306,f1426,f1307,f1427,f1308,f1428,f1309,f1429,f1310,f1430,f1311,f1431,f1312,f1432,f1313,f1433,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1230,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1535,f1391,f1536,f1392,f1537,f1393,f1538,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1705,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f1839,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2775,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f2192,f2892,f2895,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f594,f2985,f2925,f3033,f3034,f3035,f3036,f3039,f3050,f3051,f3052,f3056,f3057,f3058,f3059,f596,f3071,f3074,f3075,f3105,f3107]) ).
fof(f3107,plain,
( nil != cons(sK71,sK21)
| nil = cons(sK71,nil)
| ~ spl72_1
| ~ spl72_142
| ~ spl72_147 ),
inference(subsumption_resolution,[],[f3106,f3039]) ).
fof(f3106,plain,
( nil != cons(sK71,sK21)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3030,f619]) ).
fof(f3030,plain,
( nil != cons(sK71,sK21)
| nil = cons(sK71,nil)
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ spl72_142 ),
inference(superposition,[],[f599,f2925]) ).
fof(f3105,plain,
( nil != cons(sK71,sK21)
| ~ spl72_1
| spl72_33
| ~ spl72_142
| ~ spl72_147 ),
inference(subsumption_resolution,[],[f3104,f3039]) ).
fof(f3104,plain,
( nil != cons(sK71,sK21)
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| spl72_33
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3103,f619]) ).
fof(f3103,plain,
( nil != cons(sK71,sK21)
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| spl72_33
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3031,f1081]) ).
fof(f3031,plain,
( nil != cons(sK71,sK21)
| nil = sK21
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ spl72_142 ),
inference(superposition,[],[f598,f2925]) ).
fof(f3075,plain,
! [X4,X5] :
( app(sK69(X4,sK20(X4,X5)),sK20(X4,X5)) = X4
| ~ ssList(X4)
| ~ sP0(X4,X5) ),
inference(subsumption_resolution,[],[f3066,f387]) ).
fof(f3066,plain,
! [X4,X5] :
( app(sK69(X4,sK20(X4,X5)),sK20(X4,X5)) = X4
| ~ ssList(sK20(X4,X5))
| ~ ssList(X4)
| ~ sP0(X4,X5) ),
inference(resolution,[],[f596,f390]) ).
fof(f3074,plain,
! [X2,X3] :
( app(sK69(X2,sK20(X3,X2)),sK20(X3,X2)) = X2
| ~ ssList(X2)
| ~ sP0(X3,X2) ),
inference(subsumption_resolution,[],[f3065,f387]) ).
fof(f3065,plain,
! [X2,X3] :
( app(sK69(X2,sK20(X3,X2)),sK20(X3,X2)) = X2
| ~ ssList(sK20(X3,X2))
| ~ ssList(X2)
| ~ sP0(X3,X2) ),
inference(resolution,[],[f596,f389]) ).
fof(f3071,plain,
! [X1] :
( app(sK69(X1,X1),X1) = X1
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f3064]) ).
fof(f3064,plain,
! [X1] :
( app(sK69(X1,X1),X1) = X1
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f596,f468]) ).
fof(f3059,plain,
( ! [X3] :
( nil = X3
| hd(X3) = hd(app(X3,cons(sK71,nil)))
| ~ ssList(X3) )
| ~ spl72_147 ),
inference(resolution,[],[f3039,f580]) ).
fof(f3058,plain,
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,cons(sK71,nil)) = app(cons(X2,nil),cons(sK71,nil)) )
| ~ spl72_147 ),
inference(resolution,[],[f3039,f574]) ).
fof(f3056,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(sK71,nil) = tl(cons(X0,cons(sK71,nil))) )
| ~ spl72_147 ),
inference(resolution,[],[f3039,f572]) ).
fof(f3052,plain,
( nil = cons(sK71,nil)
| cons(sK71,nil) = cons(sK26(cons(sK71,nil)),sK25(cons(sK71,nil)))
| ~ spl72_147 ),
inference(resolution,[],[f3039,f473]) ).
fof(f3036,plain,
( ssList(cons(sK71,sK21))
| ~ ssList(cons(sK71,nil))
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3032,f619]) ).
fof(f3032,plain,
( ssList(cons(sK71,sK21))
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ spl72_142 ),
inference(superposition,[],[f579,f2925]) ).
fof(f3035,plain,
( ! [X2] :
( memberP(cons(sK71,sK21),X2)
| ~ memberP(cons(sK71,nil),X2)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X2) )
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3029,f619]) ).
fof(f3029,plain,
( ! [X2] :
( memberP(cons(sK71,sK21),X2)
| ~ memberP(cons(sK71,nil),X2)
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X2) )
| ~ spl72_142 ),
inference(superposition,[],[f461,f2925]) ).
fof(f3034,plain,
( ! [X1] :
( memberP(cons(sK71,sK21),X1)
| ~ memberP(sK21,X1)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X1) )
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3028,f619]) ).
fof(f3028,plain,
( ! [X1] :
( memberP(cons(sK71,sK21),X1)
| ~ memberP(sK21,X1)
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X1) )
| ~ spl72_142 ),
inference(superposition,[],[f462,f2925]) ).
fof(f3033,plain,
( ! [X0] :
( cons(sK71,sK21) != X0
| frontsegP(X0,cons(sK71,nil))
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) )
| ~ spl72_1
| ~ spl72_142 ),
inference(subsumption_resolution,[],[f3027,f619]) ).
fof(f3027,plain,
( ! [X0] :
( cons(sK71,sK21) != X0
| frontsegP(X0,cons(sK71,nil))
| ~ ssList(sK21)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) )
| ~ spl72_142 ),
inference(superposition,[],[f594,f2925]) ).
fof(f2985,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2971,f579]) ).
fof(f2971,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(equality_resolution,[],[f594]) ).
fof(f594,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f372,f373]) ).
fof(f373,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f372,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,[],[f371]) ).
fof(f371,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,[],[f201]) ).
fof(f201,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.9tc6S3kmL3/Vampire---4.8_25589',ax5) ).
fof(f2913,plain,
( ! [X17] :
( cons(sK60(X17),sK21) = app(cons(sK60(X17),nil),sK21)
| sP18(X17) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f556]) ).
fof(f2912,plain,
( ! [X16] :
( cons(sK59(X16),sK21) = app(cons(sK59(X16),nil),sK21)
| sP18(X16) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f555]) ).
fof(f2911,plain,
( ! [X15] :
( cons(sK55(X15),sK21) = app(cons(sK55(X15),nil),sK21)
| sP16(X15) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f545]) ).
fof(f2910,plain,
( ! [X14] :
( cons(sK54(X14),sK21) = app(cons(sK54(X14),nil),sK21)
| sP16(X14) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f544]) ).
fof(f2909,plain,
( ! [X13] :
( cons(sK50(X13),sK21) = app(cons(sK50(X13),nil),sK21)
| sP14(X13) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f533]) ).
fof(f2908,plain,
( ! [X12] :
( cons(sK49(X12),sK21) = app(cons(sK49(X12),nil),sK21)
| sP14(X12) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f532]) ).
fof(f2907,plain,
( ! [X11] :
( cons(sK45(X11),sK21) = app(cons(sK45(X11),nil),sK21)
| sP12(X11) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f521]) ).
fof(f2906,plain,
( ! [X10] :
( cons(sK44(X10),sK21) = app(cons(sK44(X10),nil),sK21)
| sP12(X10) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f520]) ).
fof(f2905,plain,
( ! [X9] :
( cons(sK40(X9),sK21) = app(cons(sK40(X9),nil),sK21)
| sP10(X9) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f509]) ).
fof(f2904,plain,
( ! [X8] :
( cons(sK39(X8),sK21) = app(cons(sK39(X8),nil),sK21)
| sP10(X8) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f508]) ).
fof(f2903,plain,
( ! [X7] :
( cons(sK35(X7),sK21) = app(cons(sK35(X7),nil),sK21)
| sP8(X7) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f498]) ).
fof(f2902,plain,
( ! [X6] :
( cons(sK34(X6),sK21) = app(cons(sK34(X6),nil),sK21)
| sP8(X6) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f497]) ).
fof(f2901,plain,
( ! [X5] :
( cons(sK31(X5),sK21) = app(cons(sK31(X5),nil),sK21)
| sP6(X5) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f488]) ).
fof(f2900,plain,
( ! [X4] :
( cons(sK30(X4),sK21) = app(cons(sK30(X4),nil),sK21)
| sP6(X4) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f487]) ).
fof(f2899,plain,
( ! [X3] :
( cons(sK29(X3),sK21) = app(cons(sK29(X3),nil),sK21)
| ~ singletonP(X3)
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f481]) ).
fof(f2898,plain,
( ! [X2] :
( cons(sK27(X2),sK21) = app(cons(sK27(X2),nil),sK21)
| nil = X2
| ~ ssList(X2) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f477]) ).
fof(f2895,plain,
( ! [X1] :
( cons(sK26(X1),sK21) = app(cons(sK26(X1),nil),sK21)
| nil = X1
| ~ ssList(X1) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f472]) ).
fof(f2892,plain,
( ! [X0] :
( cons(hd(X0),sK21) = app(cons(hd(X0),nil),sK21)
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f2192,f474]) ).
fof(f2192,plain,
( ! [X12] :
( ~ ssItem(X12)
| cons(X12,sK21) = app(cons(X12,nil),sK21) )
| ~ spl72_1 ),
inference(resolution,[],[f574,f619]) ).
fof(f2861,plain,
! [X1] :
( app(X1,sK68(X1,X1)) = X1
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f2858]) ).
fof(f2858,plain,
! [X1] :
( app(X1,sK68(X1,X1)) = X1
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f593,f467]) ).
fof(f593,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK68(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f2807,plain,
! [X78,X79,X77] :
( nil = X77
| hd(X77) = hd(app(X77,sK69(X78,X79)))
| ~ ssList(X77)
| ~ rearsegP(X78,X79)
| ~ ssList(X79)
| ~ ssList(X78) ),
inference(resolution,[],[f580,f595]) ).
fof(f2806,plain,
! [X76,X74,X75] :
( nil = X74
| hd(X74) = hd(app(X74,sK68(X75,X76)))
| ~ ssList(X74)
| ~ frontsegP(X75,X76)
| ~ ssList(X76)
| ~ ssList(X75) ),
inference(resolution,[],[f580,f592]) ).
fof(f2805,plain,
! [X72,X73,X71] :
( nil = X71
| hd(X71) = hd(app(X71,sK67(X72,X73)))
| ~ ssList(X71)
| ~ segmentP(X72,X73)
| ~ ssList(X73)
| ~ ssList(X72) ),
inference(resolution,[],[f580,f589]) ).
fof(f2804,plain,
! [X70,X68,X69] :
( nil = X68
| hd(X68) = hd(app(X68,sK66(X69,X70)))
| ~ ssList(X68)
| ~ segmentP(X69,X70)
| ~ ssList(X70)
| ~ ssList(X69) ),
inference(resolution,[],[f580,f588]) ).
fof(f2803,plain,
! [X65,X66,X67] :
( nil = X65
| hd(X65) = hd(app(X65,sK65(X66,X67)))
| ~ ssList(X65)
| ~ memberP(X66,X67)
| ~ ssItem(X67)
| ~ ssList(X66) ),
inference(resolution,[],[f580,f576]) ).
fof(f2802,plain,
! [X62,X63,X64] :
( nil = X62
| hd(X62) = hd(app(X62,sK64(X63,X64)))
| ~ ssList(X62)
| ~ memberP(X63,X64)
| ~ ssItem(X64)
| ~ ssList(X63) ),
inference(resolution,[],[f580,f575]) ).
fof(f2801,plain,
! [X60,X61] :
( nil = X60
| hd(X60) = hd(app(X60,sK63(X61)))
| ~ ssList(X60)
| sP18(X61) ),
inference(resolution,[],[f580,f559]) ).
fof(f2800,plain,
! [X58,X59] :
( nil = X58
| hd(X58) = hd(app(X58,sK62(X59)))
| ~ ssList(X58)
| sP18(X59) ),
inference(resolution,[],[f580,f558]) ).
fof(f2799,plain,
! [X56,X57] :
( nil = X56
| hd(X56) = hd(app(X56,sK61(X57)))
| ~ ssList(X56)
| sP18(X57) ),
inference(resolution,[],[f580,f557]) ).
fof(f2798,plain,
! [X54,X55] :
( nil = X54
| hd(X54) = hd(app(X54,sK58(X55)))
| ~ ssList(X54)
| sP16(X55) ),
inference(resolution,[],[f580,f548]) ).
fof(f2797,plain,
! [X52,X53] :
( nil = X52
| hd(X52) = hd(app(X52,sK57(X53)))
| ~ ssList(X52)
| sP16(X53) ),
inference(resolution,[],[f580,f547]) ).
fof(f2796,plain,
! [X50,X51] :
( nil = X50
| hd(X50) = hd(app(X50,sK56(X51)))
| ~ ssList(X50)
| sP16(X51) ),
inference(resolution,[],[f580,f546]) ).
fof(f2795,plain,
! [X48,X49] :
( nil = X48
| hd(X48) = hd(app(X48,sK53(X49)))
| ~ ssList(X48)
| sP14(X49) ),
inference(resolution,[],[f580,f536]) ).
fof(f2794,plain,
! [X46,X47] :
( nil = X46
| hd(X46) = hd(app(X46,sK52(X47)))
| ~ ssList(X46)
| sP14(X47) ),
inference(resolution,[],[f580,f535]) ).
fof(f2793,plain,
! [X44,X45] :
( nil = X44
| hd(X44) = hd(app(X44,sK51(X45)))
| ~ ssList(X44)
| sP14(X45) ),
inference(resolution,[],[f580,f534]) ).
fof(f2792,plain,
! [X42,X43] :
( nil = X42
| hd(X42) = hd(app(X42,sK48(X43)))
| ~ ssList(X42)
| sP12(X43) ),
inference(resolution,[],[f580,f524]) ).
fof(f2791,plain,
! [X40,X41] :
( nil = X40
| hd(X40) = hd(app(X40,sK47(X41)))
| ~ ssList(X40)
| sP12(X41) ),
inference(resolution,[],[f580,f523]) ).
fof(f2790,plain,
! [X38,X39] :
( nil = X38
| hd(X38) = hd(app(X38,sK46(X39)))
| ~ ssList(X38)
| sP12(X39) ),
inference(resolution,[],[f580,f522]) ).
fof(f2789,plain,
! [X36,X37] :
( nil = X36
| hd(X36) = hd(app(X36,sK43(X37)))
| ~ ssList(X36)
| sP10(X37) ),
inference(resolution,[],[f580,f512]) ).
fof(f2788,plain,
! [X34,X35] :
( nil = X34
| hd(X34) = hd(app(X34,sK42(X35)))
| ~ ssList(X34)
| sP10(X35) ),
inference(resolution,[],[f580,f511]) ).
fof(f2787,plain,
! [X32,X33] :
( nil = X32
| hd(X32) = hd(app(X32,sK41(X33)))
| ~ ssList(X32)
| sP10(X33) ),
inference(resolution,[],[f580,f510]) ).
fof(f2786,plain,
! [X31,X30] :
( nil = X30
| hd(X30) = hd(app(X30,sK38(X31)))
| ~ ssList(X30)
| sP8(X31) ),
inference(resolution,[],[f580,f501]) ).
fof(f2785,plain,
! [X28,X29] :
( nil = X28
| hd(X28) = hd(app(X28,sK37(X29)))
| ~ ssList(X28)
| sP8(X29) ),
inference(resolution,[],[f580,f500]) ).
fof(f2784,plain,
! [X26,X27] :
( nil = X26
| hd(X26) = hd(app(X26,sK36(X27)))
| ~ ssList(X26)
| sP8(X27) ),
inference(resolution,[],[f580,f499]) ).
fof(f2783,plain,
! [X24,X25] :
( nil = X24
| hd(X24) = hd(app(X24,sK33(X25)))
| ~ ssList(X24)
| sP6(X25) ),
inference(resolution,[],[f580,f490]) ).
fof(f2782,plain,
! [X22,X23] :
( nil = X22
| hd(X22) = hd(app(X22,sK32(X23)))
| ~ ssList(X22)
| sP6(X23) ),
inference(resolution,[],[f580,f489]) ).
fof(f2781,plain,
! [X21,X20] :
( nil = X20
| hd(X20) = hd(app(X20,sK28(X21)))
| ~ ssList(X20)
| nil = X21
| ~ ssList(X21) ),
inference(resolution,[],[f580,f479]) ).
fof(f2779,plain,
! [X18,X17] :
( nil = X17
| hd(X17) = hd(app(X17,sK25(X18)))
| ~ ssList(X17)
| nil = X18
| ~ ssList(X18) ),
inference(resolution,[],[f580,f471]) ).
fof(f2775,plain,
( ! [X13] :
( nil = X13
| hd(X13) = hd(app(X13,sK21))
| ~ ssList(X13) )
| ~ spl72_1 ),
inference(resolution,[],[f580,f619]) ).
fof(f2774,plain,
! [X10,X11,X12] :
( nil = X10
| hd(X10) = hd(app(X10,sK20(X11,X12)))
| ~ ssList(X10)
| ~ sP0(X11,X12) ),
inference(resolution,[],[f580,f387]) ).
fof(f2772,plain,
! [X8,X7] :
( nil = X7
| hd(X7) = hd(app(X7,tl(X8)))
| ~ ssList(X7)
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f580,f475]) ).
fof(f2770,plain,
! [X3,X4,X5] :
( nil = X3
| hd(X3) = hd(app(X3,app(X4,X5)))
| ~ ssList(X3)
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f580,f579]) ).
fof(f2769,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f580,f569]) ).
fof(f580,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.9tc6S3kmL3/Vampire---4.8_25589',ax85) ).
fof(f462,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,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,[],[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(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.9tc6S3kmL3/Vampire---4.8_25589',ax36) ).
fof(f461,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f440,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,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,[],[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(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.9tc6S3kmL3/Vampire---4.8_25589',ax37) ).
fof(f439,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f2419,plain,
! [X4,X5] :
( sK20(X4,X5) = X4
| ~ rearsegP(sK20(X4,X5),X4)
| ~ ssList(X4)
| ~ sP0(X4,X5) ),
inference(subsumption_resolution,[],[f2411,f387]) ).
fof(f2411,plain,
! [X4,X5] :
( sK20(X4,X5) = X4
| ~ rearsegP(sK20(X4,X5),X4)
| ~ ssList(X4)
| ~ ssList(sK20(X4,X5))
| ~ sP0(X4,X5) ),
inference(resolution,[],[f585,f390]) ).
fof(f2418,plain,
! [X2,X3] :
( sK20(X2,X3) = X3
| ~ rearsegP(sK20(X2,X3),X3)
| ~ ssList(X3)
| ~ sP0(X2,X3) ),
inference(subsumption_resolution,[],[f2410,f387]) ).
fof(f2410,plain,
! [X2,X3] :
( sK20(X2,X3) = X3
| ~ rearsegP(sK20(X2,X3),X3)
| ~ ssList(X3)
| ~ ssList(sK20(X2,X3))
| ~ sP0(X2,X3) ),
inference(resolution,[],[f585,f389]) ).
fof(f584,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,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.9tc6S3kmL3/Vampire---4.8_25589',ax41) ).
fof(f2362,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2113,f717]) ).
fof(f2113,plain,
! [X3] :
( sP14(X3)
| sK50(X3) = sK49(X3) ),
inference(subsumption_resolution,[],[f2112,f533]) ).
fof(f2112,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ ssItem(sK50(X3))
| sP14(X3) ),
inference(subsumption_resolution,[],[f2111,f532]) ).
fof(f2111,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ ssItem(sK49(X3))
| ~ ssItem(sK50(X3))
| sP14(X3) ),
inference(subsumption_resolution,[],[f2108,f539]) ).
fof(f2108,plain,
! [X3] :
( sK50(X3) = sK49(X3)
| ~ leq(sK50(X3),sK49(X3))
| ~ ssItem(sK49(X3))
| ~ ssItem(sK50(X3))
| sP14(X3) ),
inference(resolution,[],[f423,f538]) ).
fof(f583,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,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.9tc6S3kmL3/Vampire---4.8_25589',ax54) ).
fof(f2223,plain,
! [X76,X77,X75] :
( ~ ssItem(X75)
| cons(X75,sK69(X76,X77)) = app(cons(X75,nil),sK69(X76,X77))
| ~ rearsegP(X76,X77)
| ~ ssList(X77)
| ~ ssList(X76) ),
inference(resolution,[],[f574,f595]) ).
fof(f2222,plain,
! [X72,X73,X74] :
( ~ ssItem(X72)
| cons(X72,sK68(X73,X74)) = app(cons(X72,nil),sK68(X73,X74))
| ~ frontsegP(X73,X74)
| ~ ssList(X74)
| ~ ssList(X73) ),
inference(resolution,[],[f574,f592]) ).
fof(f2221,plain,
! [X70,X71,X69] :
( ~ ssItem(X69)
| cons(X69,sK67(X70,X71)) = app(cons(X69,nil),sK67(X70,X71))
| ~ segmentP(X70,X71)
| ~ ssList(X71)
| ~ ssList(X70) ),
inference(resolution,[],[f574,f589]) ).
fof(f2220,plain,
! [X68,X66,X67] :
( ~ ssItem(X66)
| cons(X66,sK66(X67,X68)) = app(cons(X66,nil),sK66(X67,X68))
| ~ segmentP(X67,X68)
| ~ ssList(X68)
| ~ ssList(X67) ),
inference(resolution,[],[f574,f588]) ).
fof(f2219,plain,
! [X65,X63,X64] :
( ~ ssItem(X63)
| cons(X63,sK65(X64,X65)) = app(cons(X63,nil),sK65(X64,X65))
| ~ memberP(X64,X65)
| ~ ssItem(X65)
| ~ ssList(X64) ),
inference(resolution,[],[f574,f576]) ).
fof(f2218,plain,
! [X62,X60,X61] :
( ~ ssItem(X60)
| cons(X60,sK64(X61,X62)) = app(cons(X60,nil),sK64(X61,X62))
| ~ memberP(X61,X62)
| ~ ssItem(X62)
| ~ ssList(X61) ),
inference(resolution,[],[f574,f575]) ).
fof(f2217,plain,
! [X58,X59] :
( ~ ssItem(X58)
| cons(X58,sK63(X59)) = app(cons(X58,nil),sK63(X59))
| sP18(X59) ),
inference(resolution,[],[f574,f559]) ).
fof(f2216,plain,
! [X56,X57] :
( ~ ssItem(X56)
| cons(X56,sK62(X57)) = app(cons(X56,nil),sK62(X57))
| sP18(X57) ),
inference(resolution,[],[f574,f558]) ).
fof(f2215,plain,
! [X54,X55] :
( ~ ssItem(X54)
| cons(X54,sK61(X55)) = app(cons(X54,nil),sK61(X55))
| sP18(X55) ),
inference(resolution,[],[f574,f557]) ).
fof(f2214,plain,
! [X52,X53] :
( ~ ssItem(X52)
| cons(X52,sK58(X53)) = app(cons(X52,nil),sK58(X53))
| sP16(X53) ),
inference(resolution,[],[f574,f548]) ).
fof(f2213,plain,
! [X50,X51] :
( ~ ssItem(X50)
| cons(X50,sK57(X51)) = app(cons(X50,nil),sK57(X51))
| sP16(X51) ),
inference(resolution,[],[f574,f547]) ).
fof(f2212,plain,
! [X48,X49] :
( ~ ssItem(X48)
| cons(X48,sK56(X49)) = app(cons(X48,nil),sK56(X49))
| sP16(X49) ),
inference(resolution,[],[f574,f546]) ).
fof(f2211,plain,
! [X46,X47] :
( ~ ssItem(X46)
| cons(X46,sK53(X47)) = app(cons(X46,nil),sK53(X47))
| sP14(X47) ),
inference(resolution,[],[f574,f536]) ).
fof(f2210,plain,
! [X44,X45] :
( ~ ssItem(X44)
| cons(X44,sK52(X45)) = app(cons(X44,nil),sK52(X45))
| sP14(X45) ),
inference(resolution,[],[f574,f535]) ).
fof(f2209,plain,
! [X42,X43] :
( ~ ssItem(X42)
| cons(X42,sK51(X43)) = app(cons(X42,nil),sK51(X43))
| sP14(X43) ),
inference(resolution,[],[f574,f534]) ).
fof(f2208,plain,
! [X40,X41] :
( ~ ssItem(X40)
| cons(X40,sK48(X41)) = app(cons(X40,nil),sK48(X41))
| sP12(X41) ),
inference(resolution,[],[f574,f524]) ).
fof(f2207,plain,
! [X38,X39] :
( ~ ssItem(X38)
| cons(X38,sK47(X39)) = app(cons(X38,nil),sK47(X39))
| sP12(X39) ),
inference(resolution,[],[f574,f523]) ).
fof(f2206,plain,
! [X36,X37] :
( ~ ssItem(X36)
| cons(X36,sK46(X37)) = app(cons(X36,nil),sK46(X37))
| sP12(X37) ),
inference(resolution,[],[f574,f522]) ).
fof(f2205,plain,
! [X34,X35] :
( ~ ssItem(X34)
| cons(X34,sK43(X35)) = app(cons(X34,nil),sK43(X35))
| sP10(X35) ),
inference(resolution,[],[f574,f512]) ).
fof(f2204,plain,
! [X32,X33] :
( ~ ssItem(X32)
| cons(X32,sK42(X33)) = app(cons(X32,nil),sK42(X33))
| sP10(X33) ),
inference(resolution,[],[f574,f511]) ).
fof(f2203,plain,
! [X31,X30] :
( ~ ssItem(X30)
| cons(X30,sK41(X31)) = app(cons(X30,nil),sK41(X31))
| sP10(X31) ),
inference(resolution,[],[f574,f510]) ).
fof(f2202,plain,
! [X28,X29] :
( ~ ssItem(X28)
| cons(X28,sK38(X29)) = app(cons(X28,nil),sK38(X29))
| sP8(X29) ),
inference(resolution,[],[f574,f501]) ).
fof(f2201,plain,
! [X26,X27] :
( ~ ssItem(X26)
| cons(X26,sK37(X27)) = app(cons(X26,nil),sK37(X27))
| sP8(X27) ),
inference(resolution,[],[f574,f500]) ).
fof(f2200,plain,
! [X24,X25] :
( ~ ssItem(X24)
| cons(X24,sK36(X25)) = app(cons(X24,nil),sK36(X25))
| sP8(X25) ),
inference(resolution,[],[f574,f499]) ).
fof(f2199,plain,
! [X22,X23] :
( ~ ssItem(X22)
| cons(X22,sK33(X23)) = app(cons(X22,nil),sK33(X23))
| sP6(X23) ),
inference(resolution,[],[f574,f490]) ).
fof(f2198,plain,
! [X21,X20] :
( ~ ssItem(X20)
| cons(X20,sK32(X21)) = app(cons(X20,nil),sK32(X21))
| sP6(X21) ),
inference(resolution,[],[f574,f489]) ).
fof(f2197,plain,
! [X18,X19] :
( ~ ssItem(X18)
| cons(X18,sK28(X19)) = app(cons(X18,nil),sK28(X19))
| nil = X19
| ~ ssList(X19) ),
inference(resolution,[],[f574,f479]) ).
fof(f2196,plain,
! [X16,X17] :
( ~ ssItem(X16)
| cons(X16,sK25(X17)) = app(cons(X16,nil),sK25(X17))
| nil = X17
| ~ ssList(X17) ),
inference(resolution,[],[f574,f471]) ).
fof(f2191,plain,
! [X10,X11,X9] :
( ~ ssItem(X9)
| cons(X9,sK20(X10,X11)) = app(cons(X9,nil),sK20(X10,X11))
| ~ sP0(X10,X11) ),
inference(resolution,[],[f574,f387]) ).
fof(f2190,plain,
! [X8,X7] :
( ~ ssItem(X7)
| cons(X7,tl(X8)) = app(cons(X7,nil),tl(X8))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f574,f475]) ).
fof(f2188,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| cons(X3,app(X4,X5)) = app(cons(X3,nil),app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f574,f579]) ).
fof(f2187,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f574,f569]) ).
fof(f2116,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| sP14(X4) ),
inference(subsumption_resolution,[],[f2115,f532]) ).
fof(f2115,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ ssItem(sK49(X4))
| sP14(X4) ),
inference(subsumption_resolution,[],[f2114,f533]) ).
fof(f2114,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ ssItem(sK50(X4))
| ~ ssItem(sK49(X4))
| sP14(X4) ),
inference(subsumption_resolution,[],[f2109,f538]) ).
fof(f2109,plain,
! [X4] :
( sK49(X4) = sK50(X4)
| ~ leq(sK49(X4),sK50(X4))
| ~ ssItem(sK50(X4))
| ~ ssItem(sK49(X4))
| sP14(X4) ),
inference(resolution,[],[f423,f539]) ).
fof(f2107,plain,
! [X2,X1] :
( hd(X1) = X2
| ~ leq(hd(X1),X2)
| ~ ssItem(X2)
| ~ ssItem(hd(X1))
| nil = X1
| ~ sP2(X1,X2) ),
inference(resolution,[],[f423,f448]) ).
fof(f423,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.9tc6S3kmL3/Vampire---4.8_25589',ax29) ).
fof(f2057,plain,
! [X2,X1] :
( X1 = X2
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2) ),
inference(duplicate_literal_removal,[],[f2056]) ).
fof(f2056,plain,
! [X2,X1] :
( X1 = X2
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f422,f427]) ).
fof(f422,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.9tc6S3kmL3/Vampire---4.8_25589',ax87) ).
fof(f2001,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| sP18(X11) ),
inference(subsumption_resolution,[],[f2000,f555]) ).
fof(f2000,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| ~ ssItem(sK59(X11))
| sP18(X11) ),
inference(subsumption_resolution,[],[f1990,f556]) ).
fof(f1990,plain,
! [X11] :
( sK59(X11) = sK60(X11)
| ~ leq(sK59(X11),sK60(X11))
| ~ ssItem(sK60(X11))
| ~ ssItem(sK59(X11))
| sP18(X11) ),
inference(resolution,[],[f420,f561]) ).
fof(f1999,plain,
! [X10] :
( sK44(X10) = sK45(X10)
| ~ leq(sK45(X10),sK44(X10))
| sP12(X10) ),
inference(subsumption_resolution,[],[f1998,f521]) ).
fof(f1998,plain,
! [X10] :
( sK44(X10) = sK45(X10)
| ~ leq(sK45(X10),sK44(X10))
| ~ ssItem(sK45(X10))
| sP12(X10) ),
inference(subsumption_resolution,[],[f1989,f520]) ).
fof(f1989,plain,
! [X10] :
( sK44(X10) = sK45(X10)
| ~ leq(sK45(X10),sK44(X10))
| ~ ssItem(sK44(X10))
| ~ ssItem(sK45(X10))
| sP12(X10) ),
inference(resolution,[],[f420,f527]) ).
fof(f1997,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| sP12(X9) ),
inference(subsumption_resolution,[],[f1996,f520]) ).
fof(f1996,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| ~ ssItem(sK44(X9))
| sP12(X9) ),
inference(subsumption_resolution,[],[f1988,f521]) ).
fof(f1988,plain,
! [X9] :
( sK44(X9) = sK45(X9)
| ~ leq(sK44(X9),sK45(X9))
| ~ ssItem(sK45(X9))
| ~ ssItem(sK44(X9))
| sP12(X9) ),
inference(resolution,[],[f420,f526]) ).
fof(f1987,plain,
! [X8,X7] :
( hd(X8) = X7
| ~ leq(X7,hd(X8))
| ~ ssItem(hd(X8))
| ~ ssItem(X7)
| sP4(X8,X7)
| ~ strictorderedP(X8) ),
inference(resolution,[],[f420,f1579]) ).
fof(f1995,plain,
! [X6,X5] :
( ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5) ),
inference(subsumption_resolution,[],[f1991,f430]) ).
fof(f1991,plain,
! [X6,X5] :
( X5 = X6
| ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5) ),
inference(duplicate_literal_removal,[],[f1986]) ).
fof(f1986,plain,
! [X6,X5] :
( X5 = X6
| ~ leq(X5,X6)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ lt(X6,X5)
| ~ ssItem(X5)
| ~ ssItem(X6) ),
inference(resolution,[],[f420,f421]) ).
fof(f420,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.9tc6S3kmL3/Vampire---4.8_25589',ax92) ).
fof(f1839,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_1
| spl72_33 ),
inference(subsumption_resolution,[],[f1805,f1081]) ).
fof(f1805,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_1 ),
inference(resolution,[],[f476,f619]) ).
fof(f598,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f1836,plain,
! [X40,X39] :
( nil = sK69(X39,X40)
| sK69(X39,X40) = cons(hd(sK69(X39,X40)),tl(sK69(X39,X40)))
| ~ rearsegP(X39,X40)
| ~ ssList(X40)
| ~ ssList(X39) ),
inference(resolution,[],[f476,f595]) ).
fof(f1835,plain,
! [X38,X37] :
( nil = sK68(X37,X38)
| sK68(X37,X38) = cons(hd(sK68(X37,X38)),tl(sK68(X37,X38)))
| ~ frontsegP(X37,X38)
| ~ ssList(X38)
| ~ ssList(X37) ),
inference(resolution,[],[f476,f592]) ).
fof(f1834,plain,
! [X36,X35] :
( nil = sK67(X35,X36)
| sK67(X35,X36) = cons(hd(sK67(X35,X36)),tl(sK67(X35,X36)))
| ~ segmentP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) ),
inference(resolution,[],[f476,f589]) ).
fof(f1833,plain,
! [X34,X33] :
( nil = sK66(X33,X34)
| sK66(X33,X34) = cons(hd(sK66(X33,X34)),tl(sK66(X33,X34)))
| ~ segmentP(X33,X34)
| ~ ssList(X34)
| ~ ssList(X33) ),
inference(resolution,[],[f476,f588]) ).
fof(f1832,plain,
! [X31,X32] :
( nil = sK65(X31,X32)
| sK65(X31,X32) = cons(hd(sK65(X31,X32)),tl(sK65(X31,X32)))
| ~ memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) ),
inference(resolution,[],[f476,f576]) ).
fof(f1831,plain,
! [X29,X30] :
( nil = sK64(X29,X30)
| sK64(X29,X30) = cons(hd(sK64(X29,X30)),tl(sK64(X29,X30)))
| ~ memberP(X29,X30)
| ~ ssItem(X30)
| ~ ssList(X29) ),
inference(resolution,[],[f476,f575]) ).
fof(f1830,plain,
! [X28] :
( nil = sK63(X28)
| sK63(X28) = cons(hd(sK63(X28)),tl(sK63(X28)))
| sP18(X28) ),
inference(resolution,[],[f476,f559]) ).
fof(f1829,plain,
! [X27] :
( nil = sK62(X27)
| sK62(X27) = cons(hd(sK62(X27)),tl(sK62(X27)))
| sP18(X27) ),
inference(resolution,[],[f476,f558]) ).
fof(f1828,plain,
! [X26] :
( nil = sK61(X26)
| sK61(X26) = cons(hd(sK61(X26)),tl(sK61(X26)))
| sP18(X26) ),
inference(resolution,[],[f476,f557]) ).
fof(f1827,plain,
! [X25] :
( nil = sK58(X25)
| sK58(X25) = cons(hd(sK58(X25)),tl(sK58(X25)))
| sP16(X25) ),
inference(resolution,[],[f476,f548]) ).
fof(f1826,plain,
! [X24] :
( nil = sK57(X24)
| sK57(X24) = cons(hd(sK57(X24)),tl(sK57(X24)))
| sP16(X24) ),
inference(resolution,[],[f476,f547]) ).
fof(f1825,plain,
! [X23] :
( nil = sK56(X23)
| sK56(X23) = cons(hd(sK56(X23)),tl(sK56(X23)))
| sP16(X23) ),
inference(resolution,[],[f476,f546]) ).
fof(f1824,plain,
! [X22] :
( nil = sK53(X22)
| sK53(X22) = cons(hd(sK53(X22)),tl(sK53(X22)))
| sP14(X22) ),
inference(resolution,[],[f476,f536]) ).
fof(f1823,plain,
! [X21] :
( nil = sK52(X21)
| sK52(X21) = cons(hd(sK52(X21)),tl(sK52(X21)))
| sP14(X21) ),
inference(resolution,[],[f476,f535]) ).
fof(f1822,plain,
! [X20] :
( nil = sK51(X20)
| sK51(X20) = cons(hd(sK51(X20)),tl(sK51(X20)))
| sP14(X20) ),
inference(resolution,[],[f476,f534]) ).
fof(f1821,plain,
! [X19] :
( nil = sK48(X19)
| sK48(X19) = cons(hd(sK48(X19)),tl(sK48(X19)))
| sP12(X19) ),
inference(resolution,[],[f476,f524]) ).
fof(f1820,plain,
! [X18] :
( nil = sK47(X18)
| sK47(X18) = cons(hd(sK47(X18)),tl(sK47(X18)))
| sP12(X18) ),
inference(resolution,[],[f476,f523]) ).
fof(f1819,plain,
! [X17] :
( nil = sK46(X17)
| sK46(X17) = cons(hd(sK46(X17)),tl(sK46(X17)))
| sP12(X17) ),
inference(resolution,[],[f476,f522]) ).
fof(f1818,plain,
! [X16] :
( nil = sK43(X16)
| sK43(X16) = cons(hd(sK43(X16)),tl(sK43(X16)))
| sP10(X16) ),
inference(resolution,[],[f476,f512]) ).
fof(f1817,plain,
! [X15] :
( nil = sK42(X15)
| sK42(X15) = cons(hd(sK42(X15)),tl(sK42(X15)))
| sP10(X15) ),
inference(resolution,[],[f476,f511]) ).
fof(f1816,plain,
! [X14] :
( nil = sK41(X14)
| sK41(X14) = cons(hd(sK41(X14)),tl(sK41(X14)))
| sP10(X14) ),
inference(resolution,[],[f476,f510]) ).
fof(f1815,plain,
! [X13] :
( nil = sK38(X13)
| sK38(X13) = cons(hd(sK38(X13)),tl(sK38(X13)))
| sP8(X13) ),
inference(resolution,[],[f476,f501]) ).
fof(f1814,plain,
! [X12] :
( nil = sK37(X12)
| sK37(X12) = cons(hd(sK37(X12)),tl(sK37(X12)))
| sP8(X12) ),
inference(resolution,[],[f476,f500]) ).
fof(f1813,plain,
! [X11] :
( nil = sK36(X11)
| sK36(X11) = cons(hd(sK36(X11)),tl(sK36(X11)))
| sP8(X11) ),
inference(resolution,[],[f476,f499]) ).
fof(f1812,plain,
! [X10] :
( nil = sK33(X10)
| sK33(X10) = cons(hd(sK33(X10)),tl(sK33(X10)))
| sP6(X10) ),
inference(resolution,[],[f476,f490]) ).
fof(f1811,plain,
! [X9] :
( nil = sK32(X9)
| sK32(X9) = cons(hd(sK32(X9)),tl(sK32(X9)))
| sP6(X9) ),
inference(resolution,[],[f476,f489]) ).
fof(f1810,plain,
! [X8] :
( nil = sK28(X8)
| sK28(X8) = cons(hd(sK28(X8)),tl(sK28(X8)))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f476,f479]) ).
fof(f1809,plain,
! [X7] :
( nil = sK25(X7)
| sK25(X7) = cons(hd(sK25(X7)),tl(sK25(X7)))
| nil = X7
| ~ ssList(X7) ),
inference(resolution,[],[f476,f471]) ).
fof(f1803,plain,
! [X4] :
( nil = tl(X4)
| tl(X4) = cons(hd(tl(X4)),tl(tl(X4)))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f476,f475]) ).
fof(f1801,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,[],[f476,f579]) ).
fof(f1837,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1800,f570]) ).
fof(f1800,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,[],[f476,f569]) ).
fof(f476,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.9tc6S3kmL3/Vampire---4.8_25589',ax78) ).
fof(f1705,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_1
| spl72_33 ),
inference(subsumption_resolution,[],[f1671,f1081]) ).
fof(f1671,plain,
( nil = sK21
| sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_1 ),
inference(resolution,[],[f473,f619]) ).
fof(f1702,plain,
! [X40,X39] :
( nil = sK69(X39,X40)
| sK69(X39,X40) = cons(sK26(sK69(X39,X40)),sK25(sK69(X39,X40)))
| ~ rearsegP(X39,X40)
| ~ ssList(X40)
| ~ ssList(X39) ),
inference(resolution,[],[f473,f595]) ).
fof(f1701,plain,
! [X38,X37] :
( nil = sK68(X37,X38)
| sK68(X37,X38) = cons(sK26(sK68(X37,X38)),sK25(sK68(X37,X38)))
| ~ frontsegP(X37,X38)
| ~ ssList(X38)
| ~ ssList(X37) ),
inference(resolution,[],[f473,f592]) ).
fof(f1700,plain,
! [X36,X35] :
( nil = sK67(X35,X36)
| sK67(X35,X36) = cons(sK26(sK67(X35,X36)),sK25(sK67(X35,X36)))
| ~ segmentP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) ),
inference(resolution,[],[f473,f589]) ).
fof(f1699,plain,
! [X34,X33] :
( nil = sK66(X33,X34)
| sK66(X33,X34) = cons(sK26(sK66(X33,X34)),sK25(sK66(X33,X34)))
| ~ segmentP(X33,X34)
| ~ ssList(X34)
| ~ ssList(X33) ),
inference(resolution,[],[f473,f588]) ).
fof(f1698,plain,
! [X31,X32] :
( nil = sK65(X31,X32)
| sK65(X31,X32) = cons(sK26(sK65(X31,X32)),sK25(sK65(X31,X32)))
| ~ memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) ),
inference(resolution,[],[f473,f576]) ).
fof(f1697,plain,
! [X29,X30] :
( nil = sK64(X29,X30)
| sK64(X29,X30) = cons(sK26(sK64(X29,X30)),sK25(sK64(X29,X30)))
| ~ memberP(X29,X30)
| ~ ssItem(X30)
| ~ ssList(X29) ),
inference(resolution,[],[f473,f575]) ).
fof(f1696,plain,
! [X28] :
( nil = sK63(X28)
| sK63(X28) = cons(sK26(sK63(X28)),sK25(sK63(X28)))
| sP18(X28) ),
inference(resolution,[],[f473,f559]) ).
fof(f1695,plain,
! [X27] :
( nil = sK62(X27)
| sK62(X27) = cons(sK26(sK62(X27)),sK25(sK62(X27)))
| sP18(X27) ),
inference(resolution,[],[f473,f558]) ).
fof(f1694,plain,
! [X26] :
( nil = sK61(X26)
| sK61(X26) = cons(sK26(sK61(X26)),sK25(sK61(X26)))
| sP18(X26) ),
inference(resolution,[],[f473,f557]) ).
fof(f1693,plain,
! [X25] :
( nil = sK58(X25)
| sK58(X25) = cons(sK26(sK58(X25)),sK25(sK58(X25)))
| sP16(X25) ),
inference(resolution,[],[f473,f548]) ).
fof(f1692,plain,
! [X24] :
( nil = sK57(X24)
| sK57(X24) = cons(sK26(sK57(X24)),sK25(sK57(X24)))
| sP16(X24) ),
inference(resolution,[],[f473,f547]) ).
fof(f1691,plain,
! [X23] :
( nil = sK56(X23)
| sK56(X23) = cons(sK26(sK56(X23)),sK25(sK56(X23)))
| sP16(X23) ),
inference(resolution,[],[f473,f546]) ).
fof(f1690,plain,
! [X22] :
( nil = sK53(X22)
| sK53(X22) = cons(sK26(sK53(X22)),sK25(sK53(X22)))
| sP14(X22) ),
inference(resolution,[],[f473,f536]) ).
fof(f1689,plain,
! [X21] :
( nil = sK52(X21)
| sK52(X21) = cons(sK26(sK52(X21)),sK25(sK52(X21)))
| sP14(X21) ),
inference(resolution,[],[f473,f535]) ).
fof(f1688,plain,
! [X20] :
( nil = sK51(X20)
| sK51(X20) = cons(sK26(sK51(X20)),sK25(sK51(X20)))
| sP14(X20) ),
inference(resolution,[],[f473,f534]) ).
fof(f1687,plain,
! [X19] :
( nil = sK48(X19)
| sK48(X19) = cons(sK26(sK48(X19)),sK25(sK48(X19)))
| sP12(X19) ),
inference(resolution,[],[f473,f524]) ).
fof(f1686,plain,
! [X18] :
( nil = sK47(X18)
| sK47(X18) = cons(sK26(sK47(X18)),sK25(sK47(X18)))
| sP12(X18) ),
inference(resolution,[],[f473,f523]) ).
fof(f1685,plain,
! [X17] :
( nil = sK46(X17)
| sK46(X17) = cons(sK26(sK46(X17)),sK25(sK46(X17)))
| sP12(X17) ),
inference(resolution,[],[f473,f522]) ).
fof(f1684,plain,
! [X16] :
( nil = sK43(X16)
| sK43(X16) = cons(sK26(sK43(X16)),sK25(sK43(X16)))
| sP10(X16) ),
inference(resolution,[],[f473,f512]) ).
fof(f1683,plain,
! [X15] :
( nil = sK42(X15)
| sK42(X15) = cons(sK26(sK42(X15)),sK25(sK42(X15)))
| sP10(X15) ),
inference(resolution,[],[f473,f511]) ).
fof(f1682,plain,
! [X14] :
( nil = sK41(X14)
| sK41(X14) = cons(sK26(sK41(X14)),sK25(sK41(X14)))
| sP10(X14) ),
inference(resolution,[],[f473,f510]) ).
fof(f1681,plain,
! [X13] :
( nil = sK38(X13)
| sK38(X13) = cons(sK26(sK38(X13)),sK25(sK38(X13)))
| sP8(X13) ),
inference(resolution,[],[f473,f501]) ).
fof(f1680,plain,
! [X12] :
( nil = sK37(X12)
| sK37(X12) = cons(sK26(sK37(X12)),sK25(sK37(X12)))
| sP8(X12) ),
inference(resolution,[],[f473,f500]) ).
fof(f1679,plain,
! [X11] :
( nil = sK36(X11)
| sK36(X11) = cons(sK26(sK36(X11)),sK25(sK36(X11)))
| sP8(X11) ),
inference(resolution,[],[f473,f499]) ).
fof(f1678,plain,
! [X10] :
( nil = sK33(X10)
| sK33(X10) = cons(sK26(sK33(X10)),sK25(sK33(X10)))
| sP6(X10) ),
inference(resolution,[],[f473,f490]) ).
fof(f1677,plain,
! [X9] :
( nil = sK32(X9)
| sK32(X9) = cons(sK26(sK32(X9)),sK25(sK32(X9)))
| sP6(X9) ),
inference(resolution,[],[f473,f489]) ).
fof(f1676,plain,
! [X8] :
( nil = sK28(X8)
| sK28(X8) = cons(sK26(sK28(X8)),sK25(sK28(X8)))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f473,f479]) ).
fof(f1675,plain,
! [X7] :
( nil = sK25(X7)
| sK25(X7) = cons(sK26(sK25(X7)),sK25(sK25(X7)))
| nil = X7
| ~ ssList(X7) ),
inference(resolution,[],[f473,f471]) ).
fof(f1669,plain,
! [X4] :
( nil = tl(X4)
| tl(X4) = cons(sK26(tl(X4)),sK25(tl(X4)))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f473,f475]) ).
fof(f1667,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,[],[f473,f579]) ).
fof(f1703,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1666,f570]) ).
fof(f1666,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,[],[f473,f569]) ).
fof(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK26(X0),sK25(X0)) = X0 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,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,f285,f284]) ).
fof(f284,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(f285,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.9tc6S3kmL3/Vampire---4.8_25589',ax20) ).
fof(f1579,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP4(X0,X1)
| ~ strictorderedP(X0) ),
inference(subsumption_resolution,[],[f458,f457]) ).
fof(f1540,plain,
! [X2] :
( sP2(X2,hd(X2))
| ~ totalorderedP(X2)
| ~ ssItem(hd(X2)) ),
inference(resolution,[],[f1534,f411]) ).
fof(f1534,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP2(X0,X1)
| ~ totalorderedP(X0) ),
inference(subsumption_resolution,[],[f450,f449]) ).
fof(f1538,plain,
( ! [X0,X1] :
( sK21 = tl(cons(sK60(cons(X0,X1)),sK21))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1393,f452]) ).
fof(f1393,plain,
( ! [X0] :
( strictorderedP(X0)
| sK21 = tl(cons(sK60(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1244,f721]) ).
fof(f1537,plain,
( ! [X0,X1] :
( sK21 = tl(cons(sK59(cons(X0,X1)),sK21))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1392,f452]) ).
fof(f1392,plain,
( ! [X0] :
( strictorderedP(X0)
| sK21 = tl(cons(sK59(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1243,f721]) ).
fof(f1536,plain,
( ! [X0,X1] :
( sK21 = tl(cons(sK55(cons(X0,X1)),sK21))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1391,f444]) ).
fof(f1391,plain,
( ! [X0] :
( totalorderedP(X0)
| sK21 = tl(cons(sK55(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1242,f719]) ).
fof(f1535,plain,
( ! [X0,X1] :
( sK21 = tl(cons(sK54(cons(X0,X1)),sK21))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1384,f444]) ).
fof(f1384,plain,
( ! [X0] :
( totalorderedP(X0)
| sK21 = tl(cons(sK54(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1241,f719]) ).
fof(f1383,plain,
( ! [X0] :
( cyclefreeP(X0)
| sK21 = tl(cons(sK50(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1240,f717]) ).
fof(f1382,plain,
( ! [X0] :
( cyclefreeP(X0)
| sK21 = tl(cons(sK49(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1239,f717]) ).
fof(f1381,plain,
( ! [X0] :
( strictorderP(X0)
| sK21 = tl(cons(sK45(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1238,f715]) ).
fof(f1380,plain,
( ! [X0] :
( strictorderP(X0)
| sK21 = tl(cons(sK44(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1237,f715]) ).
fof(f1379,plain,
( ! [X0] :
( totalorderP(X0)
| sK21 = tl(cons(sK40(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1236,f713]) ).
fof(f1378,plain,
( ! [X0] :
( totalorderP(X0)
| sK21 = tl(cons(sK39(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1235,f713]) ).
fof(f1377,plain,
( ! [X0] :
( duplicatefreeP(X0)
| sK21 = tl(cons(sK35(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1234,f711]) ).
fof(f1376,plain,
( ! [X0] :
( duplicatefreeP(X0)
| sK21 = tl(cons(sK34(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1233,f711]) ).
fof(f1375,plain,
( ! [X0] :
( equalelemsP(X0)
| sK21 = tl(cons(sK31(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1232,f709]) ).
fof(f1374,plain,
( ! [X0] :
( equalelemsP(X0)
| sK21 = tl(cons(sK30(X0),sK21))
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1231,f709]) ).
fof(f1230,plain,
( ! [X3] :
( ~ singletonP(X3)
| sK21 = tl(cons(sK29(X3),sK21))
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f481]) ).
fof(f1533,plain,
! [X12,X13] :
( ~ rearsegP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK69(X12,X13) = app(sK69(X12,X13),nil) ),
inference(resolution,[],[f595,f469]) ).
fof(f1532,plain,
! [X10,X11] :
( ~ rearsegP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK69(X10,X11) = app(nil,sK69(X10,X11)) ),
inference(resolution,[],[f595,f470]) ).
fof(f1531,plain,
! [X8,X9] :
( ~ rearsegP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK69(X8,X9)
| hd(sK69(X8,X9)) = sK27(sK69(X8,X9)) ),
inference(resolution,[],[f595,f478]) ).
fof(f1530,plain,
! [X6,X7] :
( ~ rearsegP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK69(X6,X7)
| tl(sK69(X6,X7)) = sK28(sK69(X6,X7)) ),
inference(resolution,[],[f595,f480]) ).
fof(f1529,plain,
! [X3,X4,X5] :
( ~ rearsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK69(X3,X4) = tl(cons(X5,sK69(X3,X4))) ),
inference(resolution,[],[f595,f572]) ).
fof(f1528,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK69(X0,X1))) = X2 ),
inference(resolution,[],[f595,f573]) ).
fof(f1458,plain,
! [X12,X13] :
( ~ frontsegP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK68(X12,X13) = app(sK68(X12,X13),nil) ),
inference(resolution,[],[f592,f469]) ).
fof(f1457,plain,
! [X10,X11] :
( ~ frontsegP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK68(X10,X11) = app(nil,sK68(X10,X11)) ),
inference(resolution,[],[f592,f470]) ).
fof(f1456,plain,
! [X8,X9] :
( ~ frontsegP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK68(X8,X9)
| hd(sK68(X8,X9)) = sK27(sK68(X8,X9)) ),
inference(resolution,[],[f592,f478]) ).
fof(f1455,plain,
! [X6,X7] :
( ~ frontsegP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK68(X6,X7)
| tl(sK68(X6,X7)) = sK28(sK68(X6,X7)) ),
inference(resolution,[],[f592,f480]) ).
fof(f1454,plain,
! [X3,X4,X5] :
( ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK68(X3,X4) = tl(cons(X5,sK68(X3,X4))) ),
inference(resolution,[],[f592,f572]) ).
fof(f1453,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ),
inference(resolution,[],[f592,f573]) ).
fof(f592,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f1441,plain,
! [X12,X13] :
( ~ segmentP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK67(X12,X13) = app(sK67(X12,X13),nil) ),
inference(resolution,[],[f589,f469]) ).
fof(f1440,plain,
! [X10,X11] :
( ~ segmentP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK67(X10,X11) = app(nil,sK67(X10,X11)) ),
inference(resolution,[],[f589,f470]) ).
fof(f1439,plain,
! [X8,X9] :
( ~ segmentP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK67(X8,X9)
| hd(sK67(X8,X9)) = sK27(sK67(X8,X9)) ),
inference(resolution,[],[f589,f478]) ).
fof(f1438,plain,
! [X6,X7] :
( ~ segmentP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK67(X6,X7)
| tl(sK67(X6,X7)) = sK28(sK67(X6,X7)) ),
inference(resolution,[],[f589,f480]) ).
fof(f1437,plain,
! [X3,X4,X5] :
( ~ segmentP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK67(X3,X4) = tl(cons(X5,sK67(X3,X4))) ),
inference(resolution,[],[f589,f572]) ).
fof(f1436,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f589,f573]) ).
fof(f589,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f367,f369,f368]) ).
fof(f368,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f369,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f367,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,[],[f366]) ).
fof(f366,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,[],[f200]) ).
fof(f200,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.9tc6S3kmL3/Vampire---4.8_25589',ax7) ).
fof(f1433,plain,
( ! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1313,f721]) ).
fof(f1313,plain,
( ! [X17] :
( sP18(X17)
| sK60(X17) = hd(cons(sK60(X17),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f556]) ).
fof(f1432,plain,
( ! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1312,f721]) ).
fof(f1312,plain,
( ! [X16] :
( sP18(X16)
| sK59(X16) = hd(cons(sK59(X16),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f555]) ).
fof(f1431,plain,
( ! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1311,f719]) ).
fof(f1311,plain,
( ! [X15] :
( sP16(X15)
| sK55(X15) = hd(cons(sK55(X15),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f545]) ).
fof(f1430,plain,
( ! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1310,f719]) ).
fof(f1310,plain,
( ! [X14] :
( sP16(X14)
| sK54(X14) = hd(cons(sK54(X14),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f544]) ).
fof(f1429,plain,
( ! [X0] :
( sK50(X0) = hd(cons(sK50(X0),sK21))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1309,f717]) ).
fof(f1309,plain,
( ! [X13] :
( sP14(X13)
| sK50(X13) = hd(cons(sK50(X13),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f533]) ).
fof(f1428,plain,
( ! [X0] :
( sK49(X0) = hd(cons(sK49(X0),sK21))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1308,f717]) ).
fof(f1308,plain,
( ! [X12] :
( sP14(X12)
| sK49(X12) = hd(cons(sK49(X12),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f532]) ).
fof(f1427,plain,
( ! [X0] :
( sK45(X0) = hd(cons(sK45(X0),sK21))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1307,f715]) ).
fof(f1307,plain,
( ! [X11] :
( sP12(X11)
| sK45(X11) = hd(cons(sK45(X11),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f521]) ).
fof(f1426,plain,
( ! [X0] :
( sK44(X0) = hd(cons(sK44(X0),sK21))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1306,f715]) ).
fof(f1306,plain,
( ! [X10] :
( sP12(X10)
| sK44(X10) = hd(cons(sK44(X10),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f520]) ).
fof(f1425,plain,
( ! [X0] :
( sK40(X0) = hd(cons(sK40(X0),sK21))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1305,f713]) ).
fof(f1305,plain,
( ! [X9] :
( sP10(X9)
| sK40(X9) = hd(cons(sK40(X9),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f509]) ).
fof(f1424,plain,
! [X12,X13] :
( ~ segmentP(X12,X13)
| ~ ssList(X13)
| ~ ssList(X12)
| sK66(X12,X13) = app(sK66(X12,X13),nil) ),
inference(resolution,[],[f588,f469]) ).
fof(f1423,plain,
! [X10,X11] :
( ~ segmentP(X10,X11)
| ~ ssList(X11)
| ~ ssList(X10)
| sK66(X10,X11) = app(nil,sK66(X10,X11)) ),
inference(resolution,[],[f588,f470]) ).
fof(f1422,plain,
! [X8,X9] :
( ~ segmentP(X8,X9)
| ~ ssList(X9)
| ~ ssList(X8)
| nil = sK66(X8,X9)
| hd(sK66(X8,X9)) = sK27(sK66(X8,X9)) ),
inference(resolution,[],[f588,f478]) ).
fof(f1421,plain,
! [X6,X7] :
( ~ segmentP(X6,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| nil = sK66(X6,X7)
| tl(sK66(X6,X7)) = sK28(sK66(X6,X7)) ),
inference(resolution,[],[f588,f480]) ).
fof(f1420,plain,
! [X3,X4,X5] :
( ~ segmentP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK66(X3,X4) = tl(cons(X5,sK66(X3,X4))) ),
inference(resolution,[],[f588,f572]) ).
fof(f1419,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f588,f573]) ).
fof(f588,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1418,plain,
( ! [X0] :
( sK39(X0) = hd(cons(sK39(X0),sK21))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1304,f713]) ).
fof(f1304,plain,
( ! [X8] :
( sP10(X8)
| sK39(X8) = hd(cons(sK39(X8),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f508]) ).
fof(f1417,plain,
( ! [X0] :
( sK35(X0) = hd(cons(sK35(X0),sK21))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1303,f711]) ).
fof(f1303,plain,
( ! [X7] :
( sP8(X7)
| sK35(X7) = hd(cons(sK35(X7),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f498]) ).
fof(f1416,plain,
( ! [X0] :
( sK34(X0) = hd(cons(sK34(X0),sK21))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1302,f711]) ).
fof(f1302,plain,
( ! [X6] :
( sP8(X6)
| sK34(X6) = hd(cons(sK34(X6),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f497]) ).
fof(f1415,plain,
( ! [X0] :
( sK31(X0) = hd(cons(sK31(X0),sK21))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1301,f709]) ).
fof(f1301,plain,
( ! [X5] :
( sP6(X5)
| sK31(X5) = hd(cons(sK31(X5),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f488]) ).
fof(f1414,plain,
( ! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK21))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1300,f709]) ).
fof(f1300,plain,
( ! [X4] :
( sP6(X4)
| sK30(X4) = hd(cons(sK30(X4),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f487]) ).
fof(f1407,plain,
! [X12,X13] :
( ~ memberP(X12,X13)
| ~ ssItem(X13)
| ~ ssList(X12)
| sK65(X12,X13) = app(sK65(X12,X13),nil) ),
inference(resolution,[],[f576,f469]) ).
fof(f1406,plain,
! [X10,X11] :
( ~ memberP(X10,X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| sK65(X10,X11) = app(nil,sK65(X10,X11)) ),
inference(resolution,[],[f576,f470]) ).
fof(f1405,plain,
! [X8,X9] :
( ~ memberP(X8,X9)
| ~ ssItem(X9)
| ~ ssList(X8)
| nil = sK65(X8,X9)
| hd(sK65(X8,X9)) = sK27(sK65(X8,X9)) ),
inference(resolution,[],[f576,f478]) ).
fof(f1404,plain,
! [X6,X7] :
( ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ ssList(X6)
| nil = sK65(X6,X7)
| tl(sK65(X6,X7)) = sK28(sK65(X6,X7)) ),
inference(resolution,[],[f576,f480]) ).
fof(f1403,plain,
! [X3,X4,X5] :
( ~ memberP(X3,X4)
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK65(X3,X4) = tl(cons(X5,sK65(X3,X4))) ),
inference(resolution,[],[f576,f572]) ).
fof(f1402,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f576,f573]) ).
fof(f576,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,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])],[f361,f363,f362]) ).
fof(f362,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(f363,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(f361,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,[],[f360]) ).
fof(f360,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.9tc6S3kmL3/Vampire---4.8_25589',ax3) ).
fof(f1244,plain,
( ! [X17] :
( sP18(X17)
| sK21 = tl(cons(sK60(X17),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f556]) ).
fof(f1243,plain,
( ! [X16] :
( sP18(X16)
| sK21 = tl(cons(sK59(X16),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f555]) ).
fof(f1242,plain,
( ! [X15] :
( sP16(X15)
| sK21 = tl(cons(sK55(X15),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f545]) ).
fof(f1390,plain,
! [X12,X13] :
( ~ memberP(X12,X13)
| ~ ssItem(X13)
| ~ ssList(X12)
| sK64(X12,X13) = app(sK64(X12,X13),nil) ),
inference(resolution,[],[f575,f469]) ).
fof(f1389,plain,
! [X10,X11] :
( ~ memberP(X10,X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| sK64(X10,X11) = app(nil,sK64(X10,X11)) ),
inference(resolution,[],[f575,f470]) ).
fof(f1388,plain,
! [X8,X9] :
( ~ memberP(X8,X9)
| ~ ssItem(X9)
| ~ ssList(X8)
| nil = sK64(X8,X9)
| hd(sK64(X8,X9)) = sK27(sK64(X8,X9)) ),
inference(resolution,[],[f575,f478]) ).
fof(f1387,plain,
! [X6,X7] :
( ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ ssList(X6)
| nil = sK64(X6,X7)
| tl(sK64(X6,X7)) = sK28(sK64(X6,X7)) ),
inference(resolution,[],[f575,f480]) ).
fof(f1386,plain,
! [X3,X4,X5] :
( ~ memberP(X3,X4)
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssItem(X5)
| sK64(X3,X4) = tl(cons(X5,sK64(X3,X4))) ),
inference(resolution,[],[f575,f572]) ).
fof(f1385,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f575,f573]) ).
fof(f575,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1241,plain,
( ! [X14] :
( sP16(X14)
| sK21 = tl(cons(sK54(X14),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f544]) ).
fof(f1240,plain,
( ! [X13] :
( sP14(X13)
| sK21 = tl(cons(sK50(X13),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f533]) ).
fof(f1239,plain,
( ! [X12] :
( sP14(X12)
| sK21 = tl(cons(sK49(X12),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f532]) ).
fof(f1238,plain,
( ! [X11] :
( sP12(X11)
| sK21 = tl(cons(sK45(X11),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f521]) ).
fof(f1237,plain,
( ! [X10] :
( sP12(X10)
| sK21 = tl(cons(sK44(X10),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f520]) ).
fof(f1236,plain,
( ! [X9] :
( sP10(X9)
| sK21 = tl(cons(sK40(X9),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f509]) ).
fof(f1235,plain,
( ! [X8] :
( sP10(X8)
| sK21 = tl(cons(sK39(X8),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f508]) ).
fof(f1234,plain,
( ! [X7] :
( sP8(X7)
| sK21 = tl(cons(sK35(X7),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f498]) ).
fof(f1233,plain,
( ! [X6] :
( sP8(X6)
| sK21 = tl(cons(sK34(X6),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f497]) ).
fof(f1232,plain,
( ! [X5] :
( sP6(X5)
| sK21 = tl(cons(sK31(X5),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f488]) ).
fof(f1231,plain,
( ! [X4] :
( sP6(X4)
| sK21 = tl(cons(sK30(X4),sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f487]) ).
fof(f1373,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(equality_resolution,[],[f483]) ).
fof(f483,plain,
! [X0,X1] :
( cons(X1,nil) != X0
| singletonP(X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,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])],[f292,f293]) ).
fof(f293,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f291]) ).
fof(f291,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.9tc6S3kmL3/Vampire---4.8_25589',ax4) ).
fof(f587,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,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.9tc6S3kmL3/Vampire---4.8_25589',ax15) ).
fof(f1299,plain,
( ! [X3] :
( sK29(X3) = hd(cons(sK29(X3),sK21))
| ~ singletonP(X3)
| ~ ssList(X3) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f481]) ).
fof(f1298,plain,
( ! [X2] :
( sK27(X2) = hd(cons(sK27(X2),sK21))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f477]) ).
fof(f1297,plain,
( ! [X1] :
( sK26(X1) = hd(cons(sK26(X1),sK21))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f472]) ).
fof(f1296,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),sK21))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1181,f474]) ).
fof(f1181,plain,
( ! [X12] :
( ~ ssItem(X12)
| hd(cons(X12,sK21)) = X12 )
| ~ spl72_1 ),
inference(resolution,[],[f573,f619]) ).
fof(f586,plain,
! [X0,X1] :
( ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f1229,plain,
( ! [X2] :
( sK21 = tl(cons(sK27(X2),sK21))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f477]) ).
fof(f1228,plain,
( ! [X1] :
( sK21 = tl(cons(sK26(X1),sK21))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f472]) ).
fof(f1227,plain,
( ! [X0] :
( sK21 = tl(cons(hd(X0),sK21))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_1 ),
inference(resolution,[],[f1115,f474]) ).
fof(f1115,plain,
( ! [X12] :
( ~ ssItem(X12)
| sK21 = tl(cons(X12,sK21)) )
| ~ spl72_1 ),
inference(resolution,[],[f572,f619]) ).
fof(f1206,plain,
! [X58,X59] :
( ~ ssItem(X58)
| hd(cons(X58,sK63(X59))) = X58
| sP18(X59) ),
inference(resolution,[],[f573,f559]) ).
fof(f1205,plain,
! [X56,X57] :
( ~ ssItem(X56)
| hd(cons(X56,sK62(X57))) = X56
| sP18(X57) ),
inference(resolution,[],[f573,f558]) ).
fof(f1204,plain,
! [X54,X55] :
( ~ ssItem(X54)
| hd(cons(X54,sK61(X55))) = X54
| sP18(X55) ),
inference(resolution,[],[f573,f557]) ).
fof(f1203,plain,
! [X52,X53] :
( ~ ssItem(X52)
| hd(cons(X52,sK58(X53))) = X52
| sP16(X53) ),
inference(resolution,[],[f573,f548]) ).
fof(f1202,plain,
! [X50,X51] :
( ~ ssItem(X50)
| hd(cons(X50,sK57(X51))) = X50
| sP16(X51) ),
inference(resolution,[],[f573,f547]) ).
fof(f1201,plain,
! [X48,X49] :
( ~ ssItem(X48)
| hd(cons(X48,sK56(X49))) = X48
| sP16(X49) ),
inference(resolution,[],[f573,f546]) ).
fof(f1200,plain,
! [X46,X47] :
( ~ ssItem(X46)
| hd(cons(X46,sK53(X47))) = X46
| sP14(X47) ),
inference(resolution,[],[f573,f536]) ).
fof(f1199,plain,
! [X44,X45] :
( ~ ssItem(X44)
| hd(cons(X44,sK52(X45))) = X44
| sP14(X45) ),
inference(resolution,[],[f573,f535]) ).
fof(f1198,plain,
! [X42,X43] :
( ~ ssItem(X42)
| hd(cons(X42,sK51(X43))) = X42
| sP14(X43) ),
inference(resolution,[],[f573,f534]) ).
fof(f1197,plain,
! [X40,X41] :
( ~ ssItem(X40)
| hd(cons(X40,sK48(X41))) = X40
| sP12(X41) ),
inference(resolution,[],[f573,f524]) ).
fof(f1196,plain,
! [X38,X39] :
( ~ ssItem(X38)
| hd(cons(X38,sK47(X39))) = X38
| sP12(X39) ),
inference(resolution,[],[f573,f523]) ).
fof(f1195,plain,
! [X36,X37] :
( ~ ssItem(X36)
| hd(cons(X36,sK46(X37))) = X36
| sP12(X37) ),
inference(resolution,[],[f573,f522]) ).
fof(f1194,plain,
! [X34,X35] :
( ~ ssItem(X34)
| hd(cons(X34,sK43(X35))) = X34
| sP10(X35) ),
inference(resolution,[],[f573,f512]) ).
fof(f1193,plain,
! [X32,X33] :
( ~ ssItem(X32)
| hd(cons(X32,sK42(X33))) = X32
| sP10(X33) ),
inference(resolution,[],[f573,f511]) ).
fof(f1192,plain,
! [X31,X30] :
( ~ ssItem(X30)
| hd(cons(X30,sK41(X31))) = X30
| sP10(X31) ),
inference(resolution,[],[f573,f510]) ).
fof(f1191,plain,
! [X28,X29] :
( ~ ssItem(X28)
| hd(cons(X28,sK38(X29))) = X28
| sP8(X29) ),
inference(resolution,[],[f573,f501]) ).
fof(f1190,plain,
! [X26,X27] :
( ~ ssItem(X26)
| hd(cons(X26,sK37(X27))) = X26
| sP8(X27) ),
inference(resolution,[],[f573,f500]) ).
fof(f1189,plain,
! [X24,X25] :
( ~ ssItem(X24)
| hd(cons(X24,sK36(X25))) = X24
| sP8(X25) ),
inference(resolution,[],[f573,f499]) ).
fof(f1188,plain,
! [X22,X23] :
( ~ ssItem(X22)
| hd(cons(X22,sK33(X23))) = X22
| sP6(X23) ),
inference(resolution,[],[f573,f490]) ).
fof(f1187,plain,
! [X21,X20] :
( ~ ssItem(X20)
| hd(cons(X20,sK32(X21))) = X20
| sP6(X21) ),
inference(resolution,[],[f573,f489]) ).
fof(f1186,plain,
! [X18,X19] :
( ~ ssItem(X18)
| hd(cons(X18,sK28(X19))) = X18
| nil = X19
| ~ ssList(X19) ),
inference(resolution,[],[f573,f479]) ).
fof(f1185,plain,
! [X16,X17] :
( ~ ssItem(X16)
| hd(cons(X16,sK25(X17))) = X16
| nil = X17
| ~ ssList(X17) ),
inference(resolution,[],[f573,f471]) ).
fof(f1180,plain,
! [X10,X11,X9] :
( ~ ssItem(X9)
| hd(cons(X9,sK20(X10,X11))) = X9
| ~ sP0(X10,X11) ),
inference(resolution,[],[f573,f387]) ).
fof(f1179,plain,
! [X8,X7] :
( ~ ssItem(X7)
| hd(cons(X7,tl(X8))) = X7
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f573,f475]) ).
fof(f1177,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| hd(cons(X3,app(X4,X5))) = X3
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f573,f579]) ).
fof(f1176,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f573,f569]) ).
fof(f1081,plain,
( nil != sK21
| spl72_33 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1018,plain,
( nil = sK21
| tl(sK21) = sK28(sK21)
| ~ spl72_1 ),
inference(resolution,[],[f480,f619]) ).
fof(f1140,plain,
! [X58,X59] :
( ~ ssItem(X58)
| sK63(X59) = tl(cons(X58,sK63(X59)))
| sP18(X59) ),
inference(resolution,[],[f572,f559]) ).
fof(f1139,plain,
! [X56,X57] :
( ~ ssItem(X56)
| sK62(X57) = tl(cons(X56,sK62(X57)))
| sP18(X57) ),
inference(resolution,[],[f572,f558]) ).
fof(f1138,plain,
! [X54,X55] :
( ~ ssItem(X54)
| sK61(X55) = tl(cons(X54,sK61(X55)))
| sP18(X55) ),
inference(resolution,[],[f572,f557]) ).
fof(f1137,plain,
! [X52,X53] :
( ~ ssItem(X52)
| sK58(X53) = tl(cons(X52,sK58(X53)))
| sP16(X53) ),
inference(resolution,[],[f572,f548]) ).
fof(f1136,plain,
! [X50,X51] :
( ~ ssItem(X50)
| sK57(X51) = tl(cons(X50,sK57(X51)))
| sP16(X51) ),
inference(resolution,[],[f572,f547]) ).
fof(f1135,plain,
! [X48,X49] :
( ~ ssItem(X48)
| sK56(X49) = tl(cons(X48,sK56(X49)))
| sP16(X49) ),
inference(resolution,[],[f572,f546]) ).
fof(f1134,plain,
! [X46,X47] :
( ~ ssItem(X46)
| sK53(X47) = tl(cons(X46,sK53(X47)))
| sP14(X47) ),
inference(resolution,[],[f572,f536]) ).
fof(f1133,plain,
! [X44,X45] :
( ~ ssItem(X44)
| sK52(X45) = tl(cons(X44,sK52(X45)))
| sP14(X45) ),
inference(resolution,[],[f572,f535]) ).
fof(f1132,plain,
! [X42,X43] :
( ~ ssItem(X42)
| sK51(X43) = tl(cons(X42,sK51(X43)))
| sP14(X43) ),
inference(resolution,[],[f572,f534]) ).
fof(f1131,plain,
! [X40,X41] :
( ~ ssItem(X40)
| sK48(X41) = tl(cons(X40,sK48(X41)))
| sP12(X41) ),
inference(resolution,[],[f572,f524]) ).
fof(f1130,plain,
! [X38,X39] :
( ~ ssItem(X38)
| sK47(X39) = tl(cons(X38,sK47(X39)))
| sP12(X39) ),
inference(resolution,[],[f572,f523]) ).
fof(f1129,plain,
! [X36,X37] :
( ~ ssItem(X36)
| sK46(X37) = tl(cons(X36,sK46(X37)))
| sP12(X37) ),
inference(resolution,[],[f572,f522]) ).
fof(f1128,plain,
! [X34,X35] :
( ~ ssItem(X34)
| sK43(X35) = tl(cons(X34,sK43(X35)))
| sP10(X35) ),
inference(resolution,[],[f572,f512]) ).
fof(f1127,plain,
! [X32,X33] :
( ~ ssItem(X32)
| sK42(X33) = tl(cons(X32,sK42(X33)))
| sP10(X33) ),
inference(resolution,[],[f572,f511]) ).
fof(f1126,plain,
! [X31,X30] :
( ~ ssItem(X30)
| sK41(X31) = tl(cons(X30,sK41(X31)))
| sP10(X31) ),
inference(resolution,[],[f572,f510]) ).
fof(f1125,plain,
! [X28,X29] :
( ~ ssItem(X28)
| sK38(X29) = tl(cons(X28,sK38(X29)))
| sP8(X29) ),
inference(resolution,[],[f572,f501]) ).
fof(f1124,plain,
! [X26,X27] :
( ~ ssItem(X26)
| sK37(X27) = tl(cons(X26,sK37(X27)))
| sP8(X27) ),
inference(resolution,[],[f572,f500]) ).
fof(f1123,plain,
! [X24,X25] :
( ~ ssItem(X24)
| sK36(X25) = tl(cons(X24,sK36(X25)))
| sP8(X25) ),
inference(resolution,[],[f572,f499]) ).
fof(f1122,plain,
! [X22,X23] :
( ~ ssItem(X22)
| sK33(X23) = tl(cons(X22,sK33(X23)))
| sP6(X23) ),
inference(resolution,[],[f572,f490]) ).
fof(f1121,plain,
! [X21,X20] :
( ~ ssItem(X20)
| sK32(X21) = tl(cons(X20,sK32(X21)))
| sP6(X21) ),
inference(resolution,[],[f572,f489]) ).
fof(f1120,plain,
! [X18,X19] :
( ~ ssItem(X18)
| sK28(X19) = tl(cons(X18,sK28(X19)))
| nil = X19
| ~ ssList(X19) ),
inference(resolution,[],[f572,f479]) ).
fof(f1119,plain,
! [X16,X17] :
( ~ ssItem(X16)
| sK25(X17) = tl(cons(X16,sK25(X17)))
| nil = X17
| ~ ssList(X17) ),
inference(resolution,[],[f572,f471]) ).
fof(f1114,plain,
! [X10,X11,X9] :
( ~ ssItem(X9)
| sK20(X10,X11) = tl(cons(X9,sK20(X10,X11)))
| ~ sP0(X10,X11) ),
inference(resolution,[],[f572,f387]) ).
fof(f1113,plain,
! [X8,X7] :
( ~ ssItem(X7)
| tl(X8) = tl(cons(X7,tl(X8)))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f572,f475]) ).
fof(f1111,plain,
! [X3,X4,X5] :
( ~ ssItem(X3)
| app(X4,X5) = tl(cons(X3,app(X4,X5)))
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f572,f579]) ).
fof(f1110,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f572,f569]) ).
fof(f1095,plain,
( tl(sK21) = sK28(sK21)
| ~ spl72_1
| spl72_33 ),
inference(subsumption_resolution,[],[f1018,f1081]) ).
fof(f482,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK29(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f975,plain,
( nil = sK21
| hd(sK21) = sK27(sK21)
| ~ spl72_1 ),
inference(resolution,[],[f478,f619]) ).
fof(f1043,plain,
! [X28] :
( nil = sK63(X28)
| tl(sK63(X28)) = sK28(sK63(X28))
| sP18(X28) ),
inference(resolution,[],[f480,f559]) ).
fof(f1042,plain,
! [X27] :
( nil = sK62(X27)
| tl(sK62(X27)) = sK28(sK62(X27))
| sP18(X27) ),
inference(resolution,[],[f480,f558]) ).
fof(f1041,plain,
! [X26] :
( nil = sK61(X26)
| tl(sK61(X26)) = sK28(sK61(X26))
| sP18(X26) ),
inference(resolution,[],[f480,f557]) ).
fof(f1040,plain,
! [X25] :
( nil = sK58(X25)
| tl(sK58(X25)) = sK28(sK58(X25))
| sP16(X25) ),
inference(resolution,[],[f480,f548]) ).
fof(f1039,plain,
! [X24] :
( nil = sK57(X24)
| tl(sK57(X24)) = sK28(sK57(X24))
| sP16(X24) ),
inference(resolution,[],[f480,f547]) ).
fof(f1038,plain,
! [X23] :
( nil = sK56(X23)
| tl(sK56(X23)) = sK28(sK56(X23))
| sP16(X23) ),
inference(resolution,[],[f480,f546]) ).
fof(f1037,plain,
! [X22] :
( nil = sK53(X22)
| tl(sK53(X22)) = sK28(sK53(X22))
| sP14(X22) ),
inference(resolution,[],[f480,f536]) ).
fof(f1036,plain,
! [X21] :
( nil = sK52(X21)
| tl(sK52(X21)) = sK28(sK52(X21))
| sP14(X21) ),
inference(resolution,[],[f480,f535]) ).
fof(f1035,plain,
! [X20] :
( nil = sK51(X20)
| tl(sK51(X20)) = sK28(sK51(X20))
| sP14(X20) ),
inference(resolution,[],[f480,f534]) ).
fof(f1034,plain,
! [X19] :
( nil = sK48(X19)
| tl(sK48(X19)) = sK28(sK48(X19))
| sP12(X19) ),
inference(resolution,[],[f480,f524]) ).
fof(f1033,plain,
! [X18] :
( nil = sK47(X18)
| tl(sK47(X18)) = sK28(sK47(X18))
| sP12(X18) ),
inference(resolution,[],[f480,f523]) ).
fof(f1032,plain,
! [X17] :
( nil = sK46(X17)
| tl(sK46(X17)) = sK28(sK46(X17))
| sP12(X17) ),
inference(resolution,[],[f480,f522]) ).
fof(f1031,plain,
! [X16] :
( nil = sK43(X16)
| tl(sK43(X16)) = sK28(sK43(X16))
| sP10(X16) ),
inference(resolution,[],[f480,f512]) ).
fof(f1030,plain,
! [X15] :
( nil = sK42(X15)
| tl(sK42(X15)) = sK28(sK42(X15))
| sP10(X15) ),
inference(resolution,[],[f480,f511]) ).
fof(f1029,plain,
! [X14] :
( nil = sK41(X14)
| tl(sK41(X14)) = sK28(sK41(X14))
| sP10(X14) ),
inference(resolution,[],[f480,f510]) ).
fof(f1028,plain,
! [X13] :
( nil = sK38(X13)
| tl(sK38(X13)) = sK28(sK38(X13))
| sP8(X13) ),
inference(resolution,[],[f480,f501]) ).
fof(f1027,plain,
! [X12] :
( nil = sK37(X12)
| tl(sK37(X12)) = sK28(sK37(X12))
| sP8(X12) ),
inference(resolution,[],[f480,f500]) ).
fof(f1026,plain,
! [X11] :
( nil = sK36(X11)
| tl(sK36(X11)) = sK28(sK36(X11))
| sP8(X11) ),
inference(resolution,[],[f480,f499]) ).
fof(f1025,plain,
! [X10] :
( nil = sK33(X10)
| tl(sK33(X10)) = sK28(sK33(X10))
| sP6(X10) ),
inference(resolution,[],[f480,f490]) ).
fof(f1024,plain,
! [X9] :
( nil = sK32(X9)
| tl(sK32(X9)) = sK28(sK32(X9))
| sP6(X9) ),
inference(resolution,[],[f480,f489]) ).
fof(f1023,plain,
! [X8] :
( nil = sK28(X8)
| tl(sK28(X8)) = sK28(sK28(X8))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f480,f479]) ).
fof(f1022,plain,
! [X7] :
( nil = sK25(X7)
| tl(sK25(X7)) = sK28(sK25(X7))
| nil = X7
| ~ ssList(X7) ),
inference(resolution,[],[f480,f471]) ).
fof(f1017,plain,
! [X6,X5] :
( nil = sK20(X5,X6)
| tl(sK20(X5,X6)) = sK28(sK20(X5,X6))
| ~ sP0(X5,X6) ),
inference(resolution,[],[f480,f387]) ).
fof(f1016,plain,
! [X4] :
( nil = tl(X4)
| tl(tl(X4)) = sK28(tl(X4))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f480,f475]) ).
fof(f1014,plain,
! [X2,X3] :
( nil = app(X2,X3)
| tl(app(X2,X3)) = sK28(app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f480,f579]) ).
fof(f1044,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1013,f570]) ).
fof(f1013,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f480,f569]) ).
fof(f1000,plain,
! [X28] :
( nil = sK63(X28)
| hd(sK63(X28)) = sK27(sK63(X28))
| sP18(X28) ),
inference(resolution,[],[f478,f559]) ).
fof(f999,plain,
! [X27] :
( nil = sK62(X27)
| hd(sK62(X27)) = sK27(sK62(X27))
| sP18(X27) ),
inference(resolution,[],[f478,f558]) ).
fof(f998,plain,
! [X26] :
( nil = sK61(X26)
| hd(sK61(X26)) = sK27(sK61(X26))
| sP18(X26) ),
inference(resolution,[],[f478,f557]) ).
fof(f997,plain,
! [X25] :
( nil = sK58(X25)
| hd(sK58(X25)) = sK27(sK58(X25))
| sP16(X25) ),
inference(resolution,[],[f478,f548]) ).
fof(f996,plain,
! [X24] :
( nil = sK57(X24)
| hd(sK57(X24)) = sK27(sK57(X24))
| sP16(X24) ),
inference(resolution,[],[f478,f547]) ).
fof(f995,plain,
! [X23] :
( nil = sK56(X23)
| hd(sK56(X23)) = sK27(sK56(X23))
| sP16(X23) ),
inference(resolution,[],[f478,f546]) ).
fof(f994,plain,
! [X22] :
( nil = sK53(X22)
| hd(sK53(X22)) = sK27(sK53(X22))
| sP14(X22) ),
inference(resolution,[],[f478,f536]) ).
fof(f993,plain,
! [X21] :
( nil = sK52(X21)
| hd(sK52(X21)) = sK27(sK52(X21))
| sP14(X21) ),
inference(resolution,[],[f478,f535]) ).
fof(f992,plain,
! [X20] :
( nil = sK51(X20)
| hd(sK51(X20)) = sK27(sK51(X20))
| sP14(X20) ),
inference(resolution,[],[f478,f534]) ).
fof(f991,plain,
! [X19] :
( nil = sK48(X19)
| hd(sK48(X19)) = sK27(sK48(X19))
| sP12(X19) ),
inference(resolution,[],[f478,f524]) ).
fof(f990,plain,
! [X18] :
( nil = sK47(X18)
| hd(sK47(X18)) = sK27(sK47(X18))
| sP12(X18) ),
inference(resolution,[],[f478,f523]) ).
fof(f989,plain,
! [X17] :
( nil = sK46(X17)
| hd(sK46(X17)) = sK27(sK46(X17))
| sP12(X17) ),
inference(resolution,[],[f478,f522]) ).
fof(f988,plain,
! [X16] :
( nil = sK43(X16)
| hd(sK43(X16)) = sK27(sK43(X16))
| sP10(X16) ),
inference(resolution,[],[f478,f512]) ).
fof(f987,plain,
! [X15] :
( nil = sK42(X15)
| hd(sK42(X15)) = sK27(sK42(X15))
| sP10(X15) ),
inference(resolution,[],[f478,f511]) ).
fof(f986,plain,
! [X14] :
( nil = sK41(X14)
| hd(sK41(X14)) = sK27(sK41(X14))
| sP10(X14) ),
inference(resolution,[],[f478,f510]) ).
fof(f985,plain,
! [X13] :
( nil = sK38(X13)
| hd(sK38(X13)) = sK27(sK38(X13))
| sP8(X13) ),
inference(resolution,[],[f478,f501]) ).
fof(f984,plain,
! [X12] :
( nil = sK37(X12)
| hd(sK37(X12)) = sK27(sK37(X12))
| sP8(X12) ),
inference(resolution,[],[f478,f500]) ).
fof(f983,plain,
! [X11] :
( nil = sK36(X11)
| hd(sK36(X11)) = sK27(sK36(X11))
| sP8(X11) ),
inference(resolution,[],[f478,f499]) ).
fof(f982,plain,
! [X10] :
( nil = sK33(X10)
| hd(sK33(X10)) = sK27(sK33(X10))
| sP6(X10) ),
inference(resolution,[],[f478,f490]) ).
fof(f981,plain,
! [X9] :
( nil = sK32(X9)
| hd(sK32(X9)) = sK27(sK32(X9))
| sP6(X9) ),
inference(resolution,[],[f478,f489]) ).
fof(f980,plain,
! [X8] :
( nil = sK28(X8)
| hd(sK28(X8)) = sK27(sK28(X8))
| nil = X8
| ~ ssList(X8) ),
inference(resolution,[],[f478,f479]) ).
fof(f979,plain,
! [X7] :
( nil = sK25(X7)
| hd(sK25(X7)) = sK27(sK25(X7))
| nil = X7
| ~ ssList(X7) ),
inference(resolution,[],[f478,f471]) ).
fof(f974,plain,
! [X6,X5] :
( nil = sK20(X5,X6)
| hd(sK20(X5,X6)) = sK27(sK20(X5,X6))
| ~ sP0(X5,X6) ),
inference(resolution,[],[f478,f387]) ).
fof(f973,plain,
! [X4] :
( nil = tl(X4)
| hd(tl(X4)) = sK27(tl(X4))
| nil = X4
| ~ ssList(X4) ),
inference(resolution,[],[f478,f475]) ).
fof(f971,plain,
! [X2,X3] :
( nil = app(X2,X3)
| hd(app(X2,X3)) = sK27(app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f478,f579]) ).
fof(f1001,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f970,f570]) ).
fof(f970,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f478,f569]) ).
fof(f969,plain,
! [X6,X5] :
( nil = X5
| ~ sP4(X5,X6)
| ~ lt(hd(X5),X6)
| ~ ssItem(X6)
| ~ ssItem(hd(X5)) ),
inference(resolution,[],[f456,f421]) ).
fof(f968,plain,
! [X3,X4] :
( nil = X3
| ~ sP4(X3,X4)
| hd(X3) != X4
| ~ ssItem(hd(X3))
| ~ ssItem(X4) ),
inference(resolution,[],[f456,f430]) ).
fof(f967,plain,
! [X2,X1] :
( nil = X1
| ~ sP4(X1,X2)
| leq(X2,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X2) ),
inference(resolution,[],[f456,f431]) ).
fof(f966,plain,
! [X0] :
( nil = X0
| ~ sP4(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f456,f409]) ).
fof(f456,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f280]) ).
fof(f280,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP4(X1,X0) ) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP4(X1,X0) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X1,X0] :
( sP4(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f453,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP4(X1,X0) )
& ( sP4(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP4(X1,X0) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f959,plain,
! [X0] :
( ~ sP5(X0,nil)
| sP4(nil,X0)
| ~ ssItem(X0) ),
inference(resolution,[],[f452,f417]) ).
fof(f452,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f448,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f445,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f952,plain,
! [X0] :
( ~ sP3(X0,nil)
| sP2(nil,X0)
| ~ ssItem(X0) ),
inference(resolution,[],[f444,f418]) ).
fof(f444,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f431,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,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,[],[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(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.9tc6S3kmL3/Vampire---4.8_25589',ax93) ).
fof(f430,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| X0 != X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f429,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,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.9tc6S3kmL3/Vampire---4.8_25589',ax1) ).
fof(f940,plain,
! [X0,X1] :
( nil != sK20(X0,X1)
| ~ ssItem(nil)
| ~ sP0(X0,X1) ),
inference(duplicate_literal_removal,[],[f939]) ).
fof(f939,plain,
! [X0,X1] :
( nil != sK20(X0,X1)
| ~ ssItem(nil)
| ~ ssItem(nil)
| ~ sP0(X0,X1) ),
inference(inner_rewriting,[],[f936]) ).
fof(f936,plain,
! [X0,X1] :
( nil != sK20(X0,X1)
| ~ ssItem(nil)
| ~ ssItem(sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f428,f388]) ).
fof(f428,plain,
! [X0,X1] :
( ~ neq(X0,X1)
| X0 != X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,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,[],[f123]) ).
fof(f123,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.9tc6S3kmL3/Vampire---4.8_25589',ax32) ).
fof(f426,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f839,plain,
! [X0] :
( duplicatefreeP(X0)
| sK34(X0) = sK35(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f503,f711]) ).
fof(f930,plain,
! [X0] :
( sK63(X0) = app(nil,sK63(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f824,f721]) ).
fof(f824,plain,
! [X21] :
( sP18(X21)
| sK63(X21) = app(nil,sK63(X21)) ),
inference(resolution,[],[f470,f559]) ).
fof(f928,plain,
! [X2,X3] :
( ~ lt(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X2,X3) ),
inference(duplicate_literal_removal,[],[f927]) ).
fof(f927,plain,
! [X2,X3] :
( ~ lt(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(resolution,[],[f425,f419]) ).
fof(f425,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,[],[f122]) ).
fof(f122,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.9tc6S3kmL3/Vampire---4.8_25589',ax35) ).
fof(f925,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f823,f721]) ).
fof(f823,plain,
! [X20] :
( sP18(X20)
| sK62(X20) = app(nil,sK62(X20)) ),
inference(resolution,[],[f470,f558]) ).
fof(f924,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f822,f721]) ).
fof(f822,plain,
! [X19] :
( sP18(X19)
| sK61(X19) = app(nil,sK61(X19)) ),
inference(resolution,[],[f470,f557]) ).
fof(f923,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f821,f719]) ).
fof(f821,plain,
! [X18] :
( sP16(X18)
| sK58(X18) = app(nil,sK58(X18)) ),
inference(resolution,[],[f470,f548]) ).
fof(f922,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f820,f719]) ).
fof(f820,plain,
! [X17] :
( sP16(X17)
| sK57(X17) = app(nil,sK57(X17)) ),
inference(resolution,[],[f470,f547]) ).
fof(f921,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f819,f719]) ).
fof(f819,plain,
! [X16] :
( sP16(X16)
| sK56(X16) = app(nil,sK56(X16)) ),
inference(resolution,[],[f470,f546]) ).
fof(f920,plain,
! [X0] :
( sK53(X0) = app(nil,sK53(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f818,f717]) ).
fof(f818,plain,
! [X15] :
( sP14(X15)
| sK53(X15) = app(nil,sK53(X15)) ),
inference(resolution,[],[f470,f536]) ).
fof(f919,plain,
! [X0] :
( sK52(X0) = app(nil,sK52(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f817,f717]) ).
fof(f817,plain,
! [X14] :
( sP14(X14)
| sK52(X14) = app(nil,sK52(X14)) ),
inference(resolution,[],[f470,f535]) ).
fof(f918,plain,
! [X0] :
( sK51(X0) = app(nil,sK51(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f816,f717]) ).
fof(f816,plain,
! [X13] :
( sP14(X13)
| sK51(X13) = app(nil,sK51(X13)) ),
inference(resolution,[],[f470,f534]) ).
fof(f917,plain,
! [X0] :
( sK48(X0) = app(nil,sK48(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f815,f715]) ).
fof(f815,plain,
! [X12] :
( sP12(X12)
| sK48(X12) = app(nil,sK48(X12)) ),
inference(resolution,[],[f470,f524]) ).
fof(f916,plain,
! [X0] :
( sK47(X0) = app(nil,sK47(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f814,f715]) ).
fof(f814,plain,
! [X11] :
( sP12(X11)
| sK47(X11) = app(nil,sK47(X11)) ),
inference(resolution,[],[f470,f523]) ).
fof(f915,plain,
! [X0] :
( sK46(X0) = app(nil,sK46(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f813,f715]) ).
fof(f813,plain,
! [X10] :
( sP12(X10)
| sK46(X10) = app(nil,sK46(X10)) ),
inference(resolution,[],[f470,f522]) ).
fof(f424,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f914,plain,
! [X0] :
( sK43(X0) = app(nil,sK43(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f812,f713]) ).
fof(f812,plain,
! [X9] :
( sP10(X9)
| sK43(X9) = app(nil,sK43(X9)) ),
inference(resolution,[],[f470,f512]) ).
fof(f913,plain,
! [X0] :
( sK42(X0) = app(nil,sK42(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f811,f713]) ).
fof(f811,plain,
! [X8] :
( sP10(X8)
| sK42(X8) = app(nil,sK42(X8)) ),
inference(resolution,[],[f470,f511]) ).
fof(f912,plain,
! [X0] :
( sK41(X0) = app(nil,sK41(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f810,f713]) ).
fof(f810,plain,
! [X7] :
( sP10(X7)
| sK41(X7) = app(nil,sK41(X7)) ),
inference(resolution,[],[f470,f510]) ).
fof(f911,plain,
! [X0] :
( sK38(X0) = app(nil,sK38(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f809,f711]) ).
fof(f809,plain,
! [X6] :
( sP8(X6)
| sK38(X6) = app(nil,sK38(X6)) ),
inference(resolution,[],[f470,f501]) ).
fof(f910,plain,
! [X0] :
( sK37(X0) = app(nil,sK37(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f808,f711]) ).
fof(f808,plain,
! [X5] :
( sP8(X5)
| sK37(X5) = app(nil,sK37(X5)) ),
inference(resolution,[],[f470,f500]) ).
fof(f909,plain,
! [X0] :
( sK36(X0) = app(nil,sK36(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f807,f711]) ).
fof(f807,plain,
! [X4] :
( sP8(X4)
| sK36(X4) = app(nil,sK36(X4)) ),
inference(resolution,[],[f470,f499]) ).
fof(f908,plain,
! [X0] :
( sK33(X0) = app(nil,sK33(X0))
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f806,f709]) ).
fof(f806,plain,
! [X3] :
( sP6(X3)
| sK33(X3) = app(nil,sK33(X3)) ),
inference(resolution,[],[f470,f490]) ).
fof(f907,plain,
! [X0] :
( sK32(X0) = app(nil,sK32(X0))
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f805,f709]) ).
fof(f805,plain,
! [X2] :
( sP6(X2)
| sK32(X2) = app(nil,sK32(X2)) ),
inference(resolution,[],[f470,f489]) ).
fof(f906,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f779,f721]) ).
fof(f779,plain,
! [X21] :
( sP18(X21)
| sK63(X21) = app(sK63(X21),nil) ),
inference(resolution,[],[f469,f559]) ).
fof(f905,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f778,f721]) ).
fof(f778,plain,
! [X20] :
( sP18(X20)
| sK62(X20) = app(sK62(X20),nil) ),
inference(resolution,[],[f469,f558]) ).
fof(f904,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f777,f721]) ).
fof(f777,plain,
! [X19] :
( sP18(X19)
| sK61(X19) = app(sK61(X19),nil) ),
inference(resolution,[],[f469,f557]) ).
fof(f421,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.9tc6S3kmL3/Vampire---4.8_25589',ax33) ).
fof(f903,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f776,f719]) ).
fof(f776,plain,
! [X18] :
( sP16(X18)
| sK58(X18) = app(sK58(X18),nil) ),
inference(resolution,[],[f469,f548]) ).
fof(f902,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f775,f719]) ).
fof(f775,plain,
! [X17] :
( sP16(X17)
| sK57(X17) = app(sK57(X17),nil) ),
inference(resolution,[],[f469,f547]) ).
fof(f901,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f774,f719]) ).
fof(f774,plain,
! [X16] :
( sP16(X16)
| sK56(X16) = app(sK56(X16),nil) ),
inference(resolution,[],[f469,f546]) ).
fof(f900,plain,
! [X0] :
( sK53(X0) = app(sK53(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f773,f717]) ).
fof(f773,plain,
! [X15] :
( sP14(X15)
| sK53(X15) = app(sK53(X15),nil) ),
inference(resolution,[],[f469,f536]) ).
fof(f899,plain,
! [X0] :
( sK52(X0) = app(sK52(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f772,f717]) ).
fof(f772,plain,
! [X14] :
( sP14(X14)
| sK52(X14) = app(sK52(X14),nil) ),
inference(resolution,[],[f469,f535]) ).
fof(f898,plain,
! [X0] :
( sK51(X0) = app(sK51(X0),nil)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f771,f717]) ).
fof(f771,plain,
! [X13] :
( sP14(X13)
| sK51(X13) = app(sK51(X13),nil) ),
inference(resolution,[],[f469,f534]) ).
fof(f897,plain,
! [X0] :
( sK48(X0) = app(sK48(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f770,f715]) ).
fof(f770,plain,
! [X12] :
( sP12(X12)
| sK48(X12) = app(sK48(X12),nil) ),
inference(resolution,[],[f469,f524]) ).
fof(f896,plain,
! [X0] :
( sK47(X0) = app(sK47(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f769,f715]) ).
fof(f769,plain,
! [X11] :
( sP12(X11)
| sK47(X11) = app(sK47(X11),nil) ),
inference(resolution,[],[f469,f523]) ).
fof(f895,plain,
! [X0] :
( sK46(X0) = app(sK46(X0),nil)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f768,f715]) ).
fof(f768,plain,
! [X10] :
( sP12(X10)
| sK46(X10) = app(sK46(X10),nil) ),
inference(resolution,[],[f469,f522]) ).
fof(f894,plain,
! [X0] :
( sK43(X0) = app(sK43(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f767,f713]) ).
fof(f767,plain,
! [X9] :
( sP10(X9)
| sK43(X9) = app(sK43(X9),nil) ),
inference(resolution,[],[f469,f512]) ).
fof(f893,plain,
! [X0] :
( sK42(X0) = app(sK42(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f766,f713]) ).
fof(f766,plain,
! [X8] :
( sP10(X8)
| sK42(X8) = app(sK42(X8),nil) ),
inference(resolution,[],[f469,f511]) ).
fof(f419,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.9tc6S3kmL3/Vampire---4.8_25589',ax94) ).
fof(f892,plain,
! [X0] :
( sK41(X0) = app(sK41(X0),nil)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f765,f713]) ).
fof(f765,plain,
! [X7] :
( sP10(X7)
| sK41(X7) = app(sK41(X7),nil) ),
inference(resolution,[],[f469,f510]) ).
fof(f891,plain,
! [X0] :
( sK38(X0) = app(sK38(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f764,f711]) ).
fof(f764,plain,
! [X6] :
( sP8(X6)
| sK38(X6) = app(sK38(X6),nil) ),
inference(resolution,[],[f469,f501]) ).
fof(f890,plain,
! [X0] :
( sK37(X0) = app(sK37(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f763,f711]) ).
fof(f763,plain,
! [X5] :
( sP8(X5)
| sK37(X5) = app(sK37(X5),nil) ),
inference(resolution,[],[f469,f500]) ).
fof(f889,plain,
! [X0] :
( sK36(X0) = app(sK36(X0),nil)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f762,f711]) ).
fof(f762,plain,
! [X4] :
( sP8(X4)
| sK36(X4) = app(sK36(X4),nil) ),
inference(resolution,[],[f469,f499]) ).
fof(f888,plain,
! [X0] :
( sK33(X0) = app(sK33(X0),nil)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f761,f709]) ).
fof(f761,plain,
! [X3] :
( sP6(X3)
| sK33(X3) = app(sK33(X3),nil) ),
inference(resolution,[],[f469,f490]) ).
fof(f887,plain,
! [X0] :
( sK32(X0) = app(sK32(X0),nil)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f760,f709]) ).
fof(f760,plain,
! [X2] :
( sP6(X2)
| sK32(X2) = app(sK32(X2),nil) ),
inference(resolution,[],[f469,f489]) ).
fof(f571,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.9tc6S3kmL3/Vampire---4.8_25589',ax18) ).
fof(f570,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.9tc6S3kmL3/Vampire---4.8_25589',ax21) ).
fof(f874,plain,
! [X1] :
( ~ sP0(nil,X1)
| nil = sK20(nil,X1) ),
inference(subsumption_resolution,[],[f870,f387]) ).
fof(f870,plain,
! [X1] :
( nil = sK20(nil,X1)
| ~ ssList(sK20(nil,X1))
| ~ sP0(nil,X1) ),
inference(resolution,[],[f567,f390]) ).
fof(f873,plain,
! [X0] :
( ~ sP0(X0,nil)
| nil = sK20(X0,nil) ),
inference(subsumption_resolution,[],[f869,f387]) ).
fof(f869,plain,
! [X0] :
( nil = sK20(X0,nil)
| ~ ssList(sK20(X0,nil))
| ~ sP0(X0,nil) ),
inference(resolution,[],[f567,f389]) ).
fof(f880,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) = app(app(X3,X2),nil) ),
inference(resolution,[],[f579,f469]) ).
fof(f879,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f579,f470]) ).
fof(f878,plain,
! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| cons(X2,X3) = app(cons(X2,X3),nil) ),
inference(resolution,[],[f569,f469]) ).
fof(f877,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f569,f470]) ).
fof(f569,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.9tc6S3kmL3/Vampire---4.8_25589',ax16) ).
fof(f568,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,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.9tc6S3kmL3/Vampire---4.8_25589',ax52) ).
fof(f567,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f566,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,[],[f177]) ).
fof(f177,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.9tc6S3kmL3/Vampire---4.8_25589',ax46) ).
fof(f565,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f564,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,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.9tc6S3kmL3/Vampire---4.8_25589',ax58) ).
fof(f563,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f854,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| sK28(X1) = app(sK28(X1),nil) ),
inference(resolution,[],[f479,f469]) ).
fof(f853,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(nil,sK28(X0)) ),
inference(resolution,[],[f479,f470]) ).
fof(f479,plain,
! [X0] :
( ssList(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f477,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f852,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| tl(X1) = app(tl(X1),nil) ),
inference(resolution,[],[f475,f469]) ).
fof(f851,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f475,f470]) ).
fof(f475,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.9tc6S3kmL3/Vampire---4.8_25589',ax24) ).
fof(f474,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.9tc6S3kmL3/Vampire---4.8_25589',ax22) ).
fof(f472,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f850,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| sK25(X1) = app(sK25(X1),nil) ),
inference(resolution,[],[f471,f469]) ).
fof(f849,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f471,f470]) ).
fof(f471,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f455,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f447,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| neq(X3,nil) ),
inference(cnf_transformation,[],[f255]) ).
fof(f561,plain,
! [X0] :
( ~ lt(sK59(X0),sK60(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0] :
( ( sP18(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) )
| ~ sP18(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62,sK63])],[f350,f355,f354,f353,f352,f351]) ).
fof(f351,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(f352,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(f353,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(f354,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(f355,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(f350,plain,
! [X0] :
( ( sP18(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) )
| ~ sP18(X0) ) ),
inference(rectify,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( sP18(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) )
| ~ sP18(X0) ) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( sP18(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,[sP18])]) ).
fof(f550,plain,
! [X0] :
( ~ leq(sK54(X0),sK55(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f539,plain,
! [X0] :
( leq(sK50(X0),sK49(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52,sK53])],[f332,f337,f336,f335,f334,f333]) ).
fof(f333,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(f334,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(f335,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(f336,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(f337,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(f332,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( sP14(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,[sP14])]) ).
fof(f538,plain,
! [X0] :
( leq(sK49(X0),sK50(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f527,plain,
! [X0] :
( ~ lt(sK45(X0),sK44(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( sP12(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) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48])],[f323,f328,f327,f326,f325,f324]) ).
fof(f324,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(f325,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(f326,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(f327,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(f328,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(f323,plain,
! [X0] :
( ( sP12(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) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ( sP12(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) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( sP12(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,[sP12])]) ).
fof(f526,plain,
! [X0] :
( ~ lt(sK44(X0),sK45(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f515,plain,
! [X0] :
( ~ leq(sK40(X0),sK39(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( sP10(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) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43])],[f314,f319,f318,f317,f316,f315]) ).
fof(f315,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(f316,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(f317,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(f318,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(f319,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(f314,plain,
! [X0] :
( ( sP10(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) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ( sP10(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) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( sP10(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,[sP10])]) ).
fof(f514,plain,
! [X0] :
( ~ leq(sK39(X0),sK40(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f503,plain,
! [X0] :
( sP8(X0)
| sK34(X0) = sK35(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( sP8(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) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f305,f310,f309,f308,f307,f306]) ).
fof(f306,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(f307,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(f308,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(f309,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(f310,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(f305,plain,
! [X0] :
( ( sP8(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) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ( sP8(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) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( sP8(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,[sP8])]) ).
fof(f492,plain,
! [X0] :
( sK30(X0) != sK31(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( sP6(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) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f297,f301,f300,f299,f298]) ).
fof(f298,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(f299,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(f300,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(f301,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(f297,plain,
! [X0] :
( ( sP6(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) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( sP6(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) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( sP6(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,[sP6])]) ).
fof(f481,plain,
! [X0] :
( ssItem(sK29(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f801,plain,
( sK21 = app(nil,sK21)
| ~ spl72_1 ),
inference(resolution,[],[f470,f619]) ).
fof(f800,plain,
! [X0,X1] :
( sK20(X0,X1) = app(nil,sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f470,f387]) ).
fof(f756,plain,
( sK21 = app(sK21,nil)
| ~ spl72_1 ),
inference(resolution,[],[f469,f619]) ).
fof(f755,plain,
! [X0,X1] :
( sK20(X0,X1) = app(sK20(X0,X1),nil)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f469,f387]) ).
fof(f459,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f139,f231,f230]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax70) ).
fof(f451,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f228,f227]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax67) ).
fof(f721,plain,
! [X0] :
( ~ sP18(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f553,f562]) ).
fof(f720,plain,
! [X0] :
( sP18(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f552,f562]) ).
fof(f718,plain,
! [X0] :
( sP16(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f541,f551]) ).
fof(f717,plain,
! [X0] :
( ~ sP14(X0)
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f530,f540]) ).
fof(f716,plain,
! [X0] :
( sP14(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f529,f540]) ).
fof(f715,plain,
! [X0] :
( ~ sP12(X0)
| strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f518,f528]) ).
fof(f714,plain,
! [X0] :
( sP12(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f517,f528]) ).
fof(f713,plain,
! [X0] :
( ~ sP10(X0)
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f506,f516]) ).
fof(f712,plain,
! [X0] :
( sP10(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f505,f516]) ).
fof(f711,plain,
! [X0] :
( ~ sP8(X0)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f495,f504]) ).
fof(f710,plain,
! [X0] :
( sP8(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f494,f504]) ).
fof(f709,plain,
! [X0] :
( ~ sP6(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f485,f493]) ).
fof(f708,plain,
! [X0] :
( sP6(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f484,f493]) ).
fof(f553,plain,
! [X0] :
( ~ sP19(X0)
| ~ sP18(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP18(X0) )
& ( sP18(X0)
| ~ strictorderedP(X0) ) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP18(X0) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f552,plain,
! [X0] :
( ~ sP19(X0)
| ~ strictorderedP(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f541,plain,
! [X0] :
( ~ sP17(X0)
| ~ totalorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f530,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| cyclefreeP(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f529,plain,
! [X0] :
( ~ sP15(X0)
| ~ cyclefreeP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f518,plain,
! [X0] :
( ~ sP13(X0)
| ~ sP12(X0)
| strictorderP(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ strictorderP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f517,plain,
! [X0] :
( ~ sP13(X0)
| ~ strictorderP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f506,plain,
! [X0] :
( ~ sP11(X0)
| ~ sP10(X0)
| totalorderP(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ totalorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f505,plain,
! [X0] :
( ~ sP11(X0)
| ~ totalorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f495,plain,
! [X0] :
( ~ sP9(X0)
| ~ sP8(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f494,plain,
! [X0] :
( ~ sP9(X0)
| ~ duplicatefreeP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f485,plain,
! [X0] :
( ~ sP7(X0)
| ~ sP6(X0)
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ equalelemsP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f484,plain,
! [X0] :
( ~ sP7(X0)
| ~ equalelemsP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f457,plain,
! [X0,X1] :
( sP4(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f281]) ).
fof(f418,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.9tc6S3kmL3/Vampire---4.8_25589',ax65) ).
fof(f417,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.9tc6S3kmL3/Vampire---4.8_25589',ax68) ).
fof(f416,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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.9tc6S3kmL3/Vampire---4.8_25589',ax59) ).
fof(f415,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.9tc6S3kmL3/Vampire---4.8_25589',ax61) ).
fof(f414,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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.9tc6S3kmL3/Vampire---4.8_25589',ax71) ).
fof(f413,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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.9tc6S3kmL3/Vampire---4.8_25589',ax63) ).
fof(f412,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.9tc6S3kmL3/Vampire---4.8_25589',ax73) ).
fof(f559,plain,
! [X0] :
( ssList(sK63(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f558,plain,
! [X0] :
( ssList(sK62(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f557,plain,
! [X0] :
( ssList(sK61(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f556,plain,
! [X0] :
( ssItem(sK60(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f555,plain,
! [X0] :
( ssItem(sK59(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f548,plain,
! [X0] :
( ssList(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f547,plain,
! [X0] :
( ssList(sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f546,plain,
! [X0] :
( ssList(sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f536,plain,
! [X0] :
( ssList(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f535,plain,
! [X0] :
( ssList(sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f534,plain,
! [X0] :
( ssList(sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f533,plain,
! [X0] :
( ssItem(sK50(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f532,plain,
! [X0] :
( ssItem(sK49(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f524,plain,
! [X0] :
( ssList(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f523,plain,
! [X0] :
( ssList(sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f522,plain,
! [X0] :
( ssList(sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f521,plain,
! [X0] :
( ssItem(sK45(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f520,plain,
! [X0] :
( ssItem(sK44(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f512,plain,
! [X0] :
( ssList(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f511,plain,
! [X0] :
( ssList(sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f510,plain,
! [X0] :
( ssList(sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f509,plain,
! [X0] :
( ssItem(sK40(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f508,plain,
! [X0] :
( ssItem(sK39(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f501,plain,
! [X0] :
( ssList(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f500,plain,
! [X0] :
( ssList(sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f499,plain,
! [X0] :
( ssList(sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f498,plain,
! [X0] :
( ssItem(sK35(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f497,plain,
! [X0] :
( ssItem(sK34(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f490,plain,
! [X0] :
( ssList(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f489,plain,
! [X0] :
( ssList(sK32(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f488,plain,
! [X0] :
( ssItem(sK31(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK30(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f468,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.9tc6S3kmL3/Vampire---4.8_25589',ax49) ).
fof(f467,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,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.9tc6S3kmL3/Vampire---4.8_25589',ax42) ).
fof(f466,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,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.9tc6S3kmL3/Vampire---4.8_25589',ax57) ).
fof(f465,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,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.9tc6S3kmL3/Vampire---4.8_25589',ax55) ).
fof(f464,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.9tc6S3kmL3/Vampire---4.8_25589',ax51) ).
fof(f463,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,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.9tc6S3kmL3/Vampire---4.8_25589',ax45) ).
fof(f411,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.9tc6S3kmL3/Vampire---4.8_25589',ax31) ).
fof(f410,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.9tc6S3kmL3/Vampire---4.8_25589',ax89) ).
fof(f409,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.9tc6S3kmL3/Vampire---4.8_25589',ax90) ).
fof(f408,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.9tc6S3kmL3/Vampire---4.8_25589',ax38) ).
fof(f562,plain,
! [X0] :
( sP19(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0] :
( sP19(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f175,f252,f251]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax12) ).
fof(f540,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f171,f246,f245]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax8) ).
fof(f528,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f169,f243,f242]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax10) ).
fof(f516,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f167,f240,f239]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax9) ).
fof(f504,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f165,f237,f236]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax13) ).
fof(f493,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f163,f234,f233]) ).
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.9tc6S3kmL3/Vampire---4.8_25589',ax14) ).
fof(f615,plain,
sK70 != sK71,
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
( sK70 != sK71
& ssItem(sK71)
& ssItem(sK70) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f2,f382,f381]) ).
fof(f381,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK70 != X1
& ssItem(X1) )
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f382,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.9tc6S3kmL3/Vampire---4.8_25589',ax2) ).
fof(f396,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( ( ~ neq(sK24,nil)
& neq(sK22,nil) )
| sP1(sK24,sK23,sK21,sK22) )
& sK21 = sK23
& sK22 = sK24
& ssList(sK24)
& ssList(sK23)
& ssList(sK22)
& ssList(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f226,f263,f262,f261,f260]) ).
fof(f260,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X3,X2,X0,X1) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X3,X2,sK21,X1) )
& sK21 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X3,X2,sK21,X1) )
& sK21 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK22,nil) )
| sP1(X3,X2,sK21,sK22) )
& sK21 = X2
& sK22 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK22,nil) )
| sP1(X3,X2,sK21,sK22) )
& sK21 = X2
& sK22 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK22,nil) )
| sP1(X3,sK23,sK21,sK22) )
& sK21 = sK23
& sK22 = X3
& ssList(X3) )
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK22,nil) )
| sP1(X3,sK23,sK21,sK22) )
& sK21 = sK23
& sK22 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK24,nil)
& neq(sK22,nil) )
| sP1(sK24,sK23,sK21,sK22) )
& sK21 = sK23
& sK22 = sK24
& ssList(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X3,X2,X0,X1) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f100,f225,f224]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X4] :
( rearsegP(X2,X4)
& rearsegP(X3,X4)
& neq(X4,nil)
& ssList(X4) )
& ! [X5] :
( ~ rearsegP(X0,X5)
| ~ rearsegP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X4] :
( rearsegP(X2,X4)
& rearsegP(X3,X4)
& neq(X4,nil)
& ssList(X4) )
& ! [X5] :
( ~ rearsegP(X0,X5)
| ~ rearsegP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil) ) )
& 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)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X4] :
( ssList(X4)
=> ( ~ rearsegP(X2,X4)
| ~ rearsegP(X3,X4)
| ~ neq(X4,nil) ) )
| ? [X5] :
( rearsegP(X0,X5)
& rearsegP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssList(X5)
=> ( ~ rearsegP(X2,X5)
| ~ rearsegP(X3,X5)
| ~ neq(X5,nil) ) )
| ? [X4] :
( rearsegP(X0,X4)
& rearsegP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssList(X5)
=> ( ~ rearsegP(X2,X5)
| ~ rearsegP(X3,X5)
| ~ neq(X5,nil) ) )
| ? [X4] :
( rearsegP(X0,X4)
& rearsegP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',co1) ).
fof(f395,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f264]) ).
fof(f614,plain,
ssItem(sK71),
inference(cnf_transformation,[],[f383]) ).
fof(f613,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f383]) ).
fof(f407,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax17) ).
fof(f406,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax66) ).
fof(f405,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax69) ).
fof(f404,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax64) ).
fof(f403,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax62) ).
fof(f402,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax72) ).
fof(f401,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax60) ).
fof(f400,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax74) ).
fof(f399,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.9tc6S3kmL3/Vampire---4.8_25589',ax39) ).
fof(f394,plain,
ssList(sK24),
inference(cnf_transformation,[],[f264]) ).
fof(f393,plain,
ssList(sK23),
inference(cnf_transformation,[],[f264]) ).
fof(f392,plain,
ssList(sK22),
inference(cnf_transformation,[],[f264]) ).
fof(f391,plain,
ssList(sK21),
inference(cnf_transformation,[],[f264]) ).
fof(f612,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.9tc6S3kmL3/Vampire---4.8_25589',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,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,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.9tc6S3kmL3/Vampire---4.8_25589',ax40) ).
fof(f609,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.9tc6S3kmL3/Vampire---4.8_25589',ax53) ).
fof(f607,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,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.9tc6S3kmL3/Vampire---4.8_25589',ax80) ).
fof(f605,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,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.9tc6S3kmL3/Vampire---4.8_25589',ax43) ).
fof(f604,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,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.9tc6S3kmL3/Vampire---4.8_25589',ax82) ).
fof(f602,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.9tc6S3kmL3/Vampire---4.8_25589',ax19) ).
fof(f603,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(f601,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ 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.9tc6S3kmL3/Vampire---4.8_25589',ax27) ).
fof(f600,plain,
! [X0,X1] :
( nil != X1
| nil != X0
| nil = app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f590,plain,
! [X0,X1] :
( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f591,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,[],[f370]) ).
fof(f582,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.9tc6S3kmL3/Vampire---4.8_25589',ax77) ).
fof(f581,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.9tc6S3kmL3/Vampire---4.8_25589',ax86) ).
fof(f577,plain,
! [X0,X1] :
( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f578,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,[],[f364]) ).
fof(f554,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)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f560,plain,
! [X0] :
( sP18(X0)
| app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0 ),
inference(cnf_transformation,[],[f356]) ).
fof(f543,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)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f549,plain,
! [X0] :
( sP16(X0)
| app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0 ),
inference(cnf_transformation,[],[f347]) ).
fof(f531,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)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f537,plain,
! [X0] :
( sP14(X0)
| app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0 ),
inference(cnf_transformation,[],[f338]) ).
fof(f519,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)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f525,plain,
! [X0] :
( sP12(X0)
| app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0 ),
inference(cnf_transformation,[],[f329]) ).
fof(f507,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)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f513,plain,
! [X0] :
( sP10(X0)
| app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0 ),
inference(cnf_transformation,[],[f320]) ).
fof(f496,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)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f502,plain,
! [X0] :
( sP8(X0)
| app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0 ),
inference(cnf_transformation,[],[f311]) ).
fof(f486,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f491,plain,
! [X0] :
( sP6(X0)
| app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0 ),
inference(cnf_transformation,[],[f302]) ).
fof(f460,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f458,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f281]) ).
fof(f450,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f277]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,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,[],[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(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.9tc6S3kmL3/Vampire---4.8_25589',ax44) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f443,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,[],[f273]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f437,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.9tc6S3kmL3/Vampire---4.8_25589',ax34) ).
fof(f436,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.9tc6S3kmL3/Vampire---4.8_25589',ax91) ).
fof(f435,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.9tc6S3kmL3/Vampire---4.8_25589',ax30) ).
fof(f434,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.9tc6S3kmL3/Vampire---4.8_25589',ax88) ).
fof(f433,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.9tc6S3kmL3/Vampire---4.8_25589',ax95) ).
fof(f432,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f397,plain,
( neq(sK22,nil)
| sP1(sK24,sK23,sK21,sK22) ),
inference(cnf_transformation,[],[f264]) ).
fof(f398,plain,
( ~ neq(sK24,nil)
| sP1(sK24,sK23,sK21,sK22) ),
inference(cnf_transformation,[],[f264]) ).
fof(f3189,plain,
( ~ spl72_59
| ~ spl72_1
| spl72_33
| ~ spl72_142
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f3105,f3038,f2923,f1080,f617,f1628]) ).
fof(f3141,plain,
( spl72_150
| spl72_33
| ~ spl72_61 ),
inference(avatar_split_clause,[],[f3136,f1637,f1080,f3138]) ).
fof(f1637,plain,
( spl72_61
<=> sP2(sK21,sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f3136,plain,
( totalorderedP(sK21)
| spl72_33
| ~ spl72_61 ),
inference(subsumption_resolution,[],[f3135,f1081]) ).
fof(f3135,plain,
( nil = sK21
| totalorderedP(sK21)
| ~ spl72_61 ),
inference(resolution,[],[f1638,f447]) ).
fof(f1638,plain,
( sP2(sK21,sK71)
| ~ spl72_61 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f3133,plain,
( spl72_57
| ~ spl72_58
| spl72_59 ),
inference(avatar_contradiction_clause,[],[f3132]) ).
fof(f3132,plain,
( $false
| spl72_57
| ~ spl72_58
| spl72_59 ),
inference(global_subsumption,[],[f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f1614,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f594,f2985,f596,f3071,f3074,f3075,f1630,f1608,f1612,f3131]) ).
fof(f3131,plain,
( nil = cons(sK71,sK21)
| spl72_57
| ~ spl72_58 ),
inference(subsumption_resolution,[],[f3130,f1608]) ).
fof(f3130,plain,
( nil = cons(sK71,sK21)
| totalorderedP(cons(sK71,sK21))
| ~ spl72_58 ),
inference(resolution,[],[f1612,f447]) ).
fof(f1612,plain,
( sP2(cons(sK71,sK21),sK71)
| ~ spl72_58 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1614,plain,
( ~ sP2(sK21,sK71)
| ~ sP3(sK71,sK21)
| spl72_57 ),
inference(resolution,[],[f1608,f445]) ).
fof(f3120,plain,
( ~ spl72_57
| ~ spl72_60
| spl72_61 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3119,plain,
( $false
| ~ spl72_57
| ~ spl72_60
| spl72_61 ),
inference(subsumption_resolution,[],[f3118,f1634]) ).
fof(f1634,plain,
( sP3(sK71,sK21)
| ~ spl72_60 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1633,plain,
( spl72_60
<=> sP3(sK71,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_60])]) ).
fof(f3118,plain,
( ~ sP3(sK71,sK21)
| ~ spl72_57
| spl72_61 ),
inference(subsumption_resolution,[],[f3117,f1639]) ).
fof(f1639,plain,
( ~ sP2(sK21,sK71)
| spl72_61 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f3117,plain,
( sP2(sK21,sK71)
| ~ sP3(sK71,sK21)
| ~ spl72_57 ),
inference(resolution,[],[f1607,f444]) ).
fof(f1607,plain,
( totalorderedP(cons(sK71,sK21))
| ~ spl72_57 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f3116,plain,
( ~ spl72_1
| spl72_33
| ~ spl72_57
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(avatar_contradiction_clause,[],[f3115]) ).
fof(f3115,plain,
( $false
| ~ spl72_1
| spl72_33
| ~ spl72_57
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(global_subsumption,[],[f1607,f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f619,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f756,f470,f800,f801,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f975,f482,f1095,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1018,f1081,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1115,f1227,f1228,f1229,f586,f1181,f1296,f1297,f1298,f1299,f587,f483,f1373,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1242,f1243,f1244,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1300,f1414,f1301,f1415,f1302,f1416,f1303,f1417,f1304,f1418,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1305,f1425,f1306,f1426,f1307,f1427,f1308,f1428,f1309,f1429,f1310,f1430,f1311,f1431,f1312,f1432,f1313,f1433,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1230,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1535,f1391,f1536,f1392,f1537,f1393,f1538,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1705,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f1839,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2775,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f2192,f2892,f2895,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f594,f2985,f2925,f3033,f3034,f3035,f3036,f3039,f3050,f3051,f3052,f3056,f3057,f3058,f3059,f596,f3071,f3074,f3075,f3105,f3107,f3108,f1629]) ).
fof(f1629,plain,
( nil = cons(sK71,sK21)
| ~ spl72_59 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f3114,plain,
( ~ spl72_1
| spl72_33
| ~ spl72_58
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(avatar_contradiction_clause,[],[f3113]) ).
fof(f3113,plain,
( $false
| ~ spl72_1
| spl72_33
| ~ spl72_58
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(global_subsumption,[],[f1612,f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f619,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f756,f470,f800,f801,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f975,f482,f1095,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1018,f1081,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1115,f1227,f1228,f1229,f586,f1181,f1296,f1297,f1298,f1299,f587,f483,f1373,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1242,f1243,f1244,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1300,f1414,f1301,f1415,f1302,f1416,f1303,f1417,f1304,f1418,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1305,f1425,f1306,f1426,f1307,f1427,f1308,f1428,f1309,f1429,f1310,f1430,f1311,f1431,f1312,f1432,f1313,f1433,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1230,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1535,f1391,f1536,f1392,f1537,f1393,f1538,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1705,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f1839,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2775,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f2192,f2892,f2895,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f594,f2985,f2925,f3033,f3034,f3035,f3036,f3039,f3050,f3051,f3052,f3056,f3057,f3058,f3059,f596,f3071,f3074,f3075,f3105,f3107,f3108,f1629]) ).
fof(f3112,plain,
( ~ spl72_1
| spl72_33
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl72_1
| spl72_33
| ~ spl72_59
| ~ spl72_142
| ~ spl72_147 ),
inference(global_subsumption,[],[f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f619,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f756,f470,f800,f801,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f975,f482,f1095,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1018,f1081,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1115,f1227,f1228,f1229,f586,f1181,f1296,f1297,f1298,f1299,f587,f483,f1373,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1242,f1243,f1244,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1300,f1414,f1301,f1415,f1302,f1416,f1303,f1417,f1304,f1418,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1305,f1425,f1306,f1426,f1307,f1427,f1308,f1428,f1309,f1429,f1310,f1430,f1311,f1431,f1312,f1432,f1313,f1433,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1230,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1535,f1391,f1536,f1392,f1537,f1393,f1538,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1705,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f1839,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2775,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f2192,f2892,f2895,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f594,f2985,f2925,f3033,f3034,f3035,f3036,f3039,f3050,f3051,f3052,f3056,f3057,f3058,f3059,f596,f3071,f3074,f3075,f3105,f3107,f3108,f1629]) ).
fof(f3110,plain,
( ~ spl72_1
| spl72_33
| ~ spl72_45
| ~ spl72_142
| ~ spl72_147
| ~ spl72_148
| spl72_149 ),
inference(avatar_contradiction_clause,[],[f3109]) ).
fof(f3109,plain,
( $false
| ~ spl72_1
| spl72_33
| ~ spl72_45
| ~ spl72_142
| ~ spl72_147
| ~ spl72_148
| spl72_149 ),
inference(global_subsumption,[],[f385,f398,f397,f432,f433,f434,f435,f436,f437,f438,f443,f442,f441,f450,f458,f460,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f578,f577,f581,f582,f591,f590,f597,f600,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f619,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f756,f470,f800,f801,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f975,f482,f1095,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1018,f1081,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1115,f1227,f1228,f1229,f586,f1181,f1296,f1297,f1298,f1299,f587,f1329,f1334,f1335,f483,f1373,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1242,f1243,f1244,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1300,f1414,f1301,f1415,f1302,f1416,f1303,f1417,f1304,f1418,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1305,f1425,f1306,f1426,f1307,f1427,f1308,f1428,f1309,f1429,f1310,f1430,f1311,f1431,f1312,f1432,f1313,f1433,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1230,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1535,f1391,f1536,f1392,f1537,f1393,f1538,f1534,f1542,f1540,f1579,f1622,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1705,f476,f1837,f1801,f1803,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f598,f1839,f599,f420,f1995,f1987,f1997,f1999,f2001,f422,f2057,f423,f2107,f2116,f574,f2187,f2188,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f2214,f2215,f2216,f2217,f2218,f2219,f2220,f2221,f2222,f2223,f583,f2113,f2362,f584,f585,f2418,f2419,f439,f440,f461,f462,f580,f2769,f2770,f2772,f2774,f2775,f2779,f2781,f2782,f2783,f2784,f2785,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f2796,f2797,f2798,f2799,f2800,f2801,f2802,f2803,f2804,f2805,f2806,f2807,f593,f2861,f2192,f2892,f2895,f2898,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2913,f594,f2985,f2925,f3033,f3034,f3035,f3036,f3039,f3050,f3051,f3052,f3056,f3057,f3058,f3059,f596,f3071,f3074,f3075,f3044,f3078,f3079,f3084,f3085,f3086,f3087,f3101,f3080,f3105,f3107,f3108,f3097]) ).
fof(f3097,plain,
( sK71 != sK27(cons(sK71,sK21))
| spl72_149 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3080,plain,
( nil = cons(sK71,sK21)
| cons(sK71,sK21) = cons(sK26(cons(sK71,sK21)),sK25(cons(sK71,sK21)))
| ~ spl72_148 ),
inference(resolution,[],[f3044,f473]) ).
fof(f3101,plain,
( sK71 = sK27(cons(sK71,sK21))
| nil = cons(sK71,sK21)
| ~ spl72_45
| ~ spl72_148 ),
inference(forward_demodulation,[],[f3082,f1329]) ).
fof(f3087,plain,
( ! [X3] :
( nil = X3
| hd(X3) = hd(app(X3,cons(sK71,sK21)))
| ~ ssList(X3) )
| ~ spl72_148 ),
inference(resolution,[],[f3044,f580]) ).
fof(f3086,plain,
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,cons(sK71,sK21)) = app(cons(X2,nil),cons(sK71,sK21)) )
| ~ spl72_148 ),
inference(resolution,[],[f3044,f574]) ).
fof(f3084,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(sK71,sK21) = tl(cons(X0,cons(sK71,sK21))) )
| ~ spl72_148 ),
inference(resolution,[],[f3044,f572]) ).
fof(f1622,plain,
( ! [X1] :
( ~ lt(X1,sK71)
| sP4(cons(sK71,sK21),X1)
| ~ strictorderedP(cons(sK71,sK21)) )
| ~ spl72_45 ),
inference(superposition,[],[f1579,f1329]) ).
fof(f1542,plain,
( ! [X1] :
( ~ leq(X1,sK71)
| sP2(cons(sK71,sK21),X1)
| ~ totalorderedP(cons(sK71,sK21)) )
| ~ spl72_45 ),
inference(superposition,[],[f1534,f1329]) ).
fof(f1335,plain,
( ! [X1] :
( leq(X1,sK71)
| nil = cons(sK71,sK21)
| ~ sP2(cons(sK71,sK21),X1) )
| ~ spl72_45 ),
inference(superposition,[],[f448,f1329]) ).
fof(f1334,plain,
( ! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK21)
| ~ sP4(cons(sK71,sK21),X0) )
| ~ spl72_45 ),
inference(superposition,[],[f456,f1329]) ).
fof(f3099,plain,
( spl72_149
| ~ spl72_45
| spl72_59
| ~ spl72_148 ),
inference(avatar_split_clause,[],[f3092,f3042,f1628,f1327,f3096]) ).
fof(f3049,plain,
( ~ spl72_13
| ~ spl72_15
| spl72_147 ),
inference(avatar_contradiction_clause,[],[f3048]) ).
fof(f3048,plain,
( $false
| ~ spl72_13
| ~ spl72_15
| spl72_147 ),
inference(subsumption_resolution,[],[f3047,f679]) ).
fof(f3047,plain,
( ~ ssList(nil)
| ~ spl72_15
| spl72_147 ),
inference(subsumption_resolution,[],[f3046,f689]) ).
fof(f3046,plain,
( ~ ssItem(sK71)
| ~ ssList(nil)
| spl72_147 ),
inference(resolution,[],[f3040,f569]) ).
fof(f3040,plain,
( ~ ssList(cons(sK71,nil))
| spl72_147 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3045,plain,
( ~ spl72_147
| spl72_148
| ~ spl72_1
| ~ spl72_142 ),
inference(avatar_split_clause,[],[f3036,f2923,f617,f3042,f3038]) ).
fof(f3012,plain,
( spl72_146
| ~ spl72_40
| spl72_54
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3002,f2940,f1587,f1248,f3009]) ).
fof(f3009,plain,
( spl72_146
<=> sK21 = sK28(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_146])]) ).
fof(f1248,plain,
( spl72_40
<=> sK21 = tl(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_40])]) ).
fof(f1587,plain,
( spl72_54
<=> nil = cons(sK70,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_54])]) ).
fof(f3002,plain,
( sK21 = sK28(cons(sK70,sK21))
| ~ spl72_40
| spl72_54
| ~ spl72_144 ),
inference(forward_demodulation,[],[f3001,f1250]) ).
fof(f1250,plain,
( sK21 = tl(cons(sK70,sK21))
| ~ spl72_40 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f3001,plain,
( tl(cons(sK70,sK21)) = sK28(cons(sK70,sK21))
| spl72_54
| ~ spl72_144 ),
inference(subsumption_resolution,[],[f2991,f1589]) ).
fof(f1589,plain,
( nil != cons(sK70,sK21)
| spl72_54 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f2991,plain,
( nil = cons(sK70,sK21)
| tl(cons(sK70,sK21)) = sK28(cons(sK70,sK21))
| ~ spl72_144 ),
inference(resolution,[],[f2942,f480]) ).
fof(f3007,plain,
( spl72_145
| ~ spl72_44
| spl72_54
| ~ spl72_144 ),
inference(avatar_split_clause,[],[f3000,f2940,f1587,f1322,f3004]) ).
fof(f3004,plain,
( spl72_145
<=> sK70 = sK27(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_145])]) ).
fof(f1322,plain,
( spl72_44
<=> sK70 = hd(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f3000,plain,
( sK70 = sK27(cons(sK70,sK21))
| ~ spl72_44
| spl72_54
| ~ spl72_144 ),
inference(forward_demodulation,[],[f2999,f1324]) ).
fof(f1324,plain,
( sK70 = hd(cons(sK70,sK21))
| ~ spl72_44 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f2999,plain,
( hd(cons(sK70,sK21)) = sK27(cons(sK70,sK21))
| spl72_54
| ~ spl72_144 ),
inference(subsumption_resolution,[],[f2990,f1589]) ).
fof(f2990,plain,
( nil = cons(sK70,sK21)
| hd(cons(sK70,sK21)) = sK27(cons(sK70,sK21))
| ~ spl72_144 ),
inference(resolution,[],[f2942,f478]) ).
fof(f2947,plain,
( ~ spl72_13
| ~ spl72_14
| spl72_143 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2946,plain,
( $false
| ~ spl72_13
| ~ spl72_14
| spl72_143 ),
inference(subsumption_resolution,[],[f2945,f679]) ).
fof(f2945,plain,
( ~ ssList(nil)
| ~ spl72_14
| spl72_143 ),
inference(subsumption_resolution,[],[f2944,f684]) ).
fof(f2944,plain,
( ~ ssItem(sK70)
| ~ ssList(nil)
| spl72_143 ),
inference(resolution,[],[f2938,f569]) ).
fof(f2938,plain,
( ~ ssList(cons(sK70,nil))
| spl72_143 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f2943,plain,
( ~ spl72_143
| spl72_144
| ~ spl72_1
| ~ spl72_141 ),
inference(avatar_split_clause,[],[f2934,f2918,f617,f2940,f2936]) ).
fof(f2934,plain,
( ssList(cons(sK70,sK21))
| ~ ssList(cons(sK70,nil))
| ~ spl72_1
| ~ spl72_141 ),
inference(subsumption_resolution,[],[f2931,f619]) ).
fof(f2931,plain,
( ssList(cons(sK70,sK21))
| ~ ssList(sK21)
| ~ ssList(cons(sK70,nil))
| ~ spl72_141 ),
inference(superposition,[],[f579,f2920]) ).
fof(f2926,plain,
( spl72_142
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f2915,f687,f617,f2923]) ).
fof(f2915,plain,
( cons(sK71,sK21) = app(cons(sK71,nil),sK21)
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f2192,f689]) ).
fof(f2921,plain,
( spl72_141
| ~ spl72_1
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f2914,f682,f617,f2918]) ).
fof(f2914,plain,
( cons(sK70,sK21) = app(cons(sK70,nil),sK21)
| ~ spl72_1
| ~ spl72_14 ),
inference(resolution,[],[f2192,f684]) ).
fof(f2856,plain,
( spl72_140
| ~ spl72_72
| ~ spl72_111
| ~ spl72_136 ),
inference(avatar_split_clause,[],[f2846,f2764,f2381,f1946,f2853]) ).
fof(f2853,plain,
( spl72_140
<=> tl(sK22) = tl(cons(sK26(sK21),tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_140])]) ).
fof(f2381,plain,
( spl72_111
<=> ssList(sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_111])]) ).
fof(f2764,plain,
( spl72_136
<=> tl(sK22) = sK25(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_136])]) ).
fof(f2846,plain,
( tl(sK22) = tl(cons(sK26(sK21),tl(sK22)))
| ~ spl72_72
| ~ spl72_111
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2741,f2766]) ).
fof(f2766,plain,
( tl(sK22) = sK25(sK22)
| ~ spl72_136 ),
inference(avatar_component_clause,[],[f2764]) ).
fof(f2741,plain,
( sK25(sK22) = tl(cons(sK26(sK21),sK25(sK22)))
| ~ spl72_72
| ~ spl72_111 ),
inference(resolution,[],[f2395,f1947]) ).
fof(f2395,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK25(sK22) = tl(cons(X0,sK25(sK22))) )
| ~ spl72_111 ),
inference(resolution,[],[f2382,f572]) ).
fof(f2382,plain,
( ssList(sK25(sK22))
| ~ spl72_111 ),
inference(avatar_component_clause,[],[f2381]) ).
fof(f2851,plain,
( spl72_139
| ~ spl72_76
| ~ spl72_111
| ~ spl72_136 ),
inference(avatar_split_clause,[],[f2845,f2764,f2381,f2003,f2848]) ).
fof(f2848,plain,
( spl72_139
<=> tl(sK22) = tl(cons(hd(sK21),tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_139])]) ).
fof(f2845,plain,
( tl(sK22) = tl(cons(hd(sK21),tl(sK22)))
| ~ spl72_76
| ~ spl72_111
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2738,f2766]) ).
fof(f2738,plain,
( sK25(sK22) = tl(cons(hd(sK21),sK25(sK22)))
| ~ spl72_76
| ~ spl72_111 ),
inference(resolution,[],[f2395,f2004]) ).
fof(f2842,plain,
( spl72_138
| ~ spl72_15
| ~ spl72_111
| ~ spl72_136 ),
inference(avatar_split_clause,[],[f2832,f2764,f2381,f687,f2839]) ).
fof(f2839,plain,
( spl72_138
<=> tl(sK22) = tl(cons(sK71,tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_138])]) ).
fof(f2832,plain,
( tl(sK22) = tl(cons(sK71,tl(sK22)))
| ~ spl72_15
| ~ spl72_111
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2760,f2766]) ).
fof(f2760,plain,
( sK25(sK22) = tl(cons(sK71,sK25(sK22)))
| ~ spl72_15
| ~ spl72_111 ),
inference(resolution,[],[f2395,f689]) ).
fof(f2837,plain,
( spl72_137
| ~ spl72_14
| ~ spl72_111
| ~ spl72_136 ),
inference(avatar_split_clause,[],[f2831,f2764,f2381,f682,f2834]) ).
fof(f2834,plain,
( spl72_137
<=> tl(sK22) = tl(cons(sK70,tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_137])]) ).
fof(f2831,plain,
( tl(sK22) = tl(cons(sK70,tl(sK22)))
| ~ spl72_14
| ~ spl72_111
| ~ spl72_136 ),
inference(forward_demodulation,[],[f2759,f2766]) ).
fof(f2759,plain,
( sK25(sK22) = tl(cons(sK70,sK25(sK22)))
| ~ spl72_14
| ~ spl72_111 ),
inference(resolution,[],[f2395,f684]) ).
fof(f2768,plain,
( spl72_136
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2762,f2381,f1965,f1733,f2764]) ).
fof(f1733,plain,
( spl72_68
<=> sK22 = cons(sK26(sK22),sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_68])]) ).
fof(f2762,plain,
( tl(sK22) = sK25(sK22)
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111 ),
inference(forward_demodulation,[],[f2742,f1735]) ).
fof(f1735,plain,
( sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_68 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f2742,plain,
( sK25(sK22) = tl(cons(sK26(sK22),sK25(sK22)))
| ~ spl72_74
| ~ spl72_111 ),
inference(resolution,[],[f2395,f1966]) ).
fof(f2767,plain,
( spl72_136
| ~ spl72_78
| ~ spl72_111
| ~ spl72_121 ),
inference(avatar_split_clause,[],[f2761,f2526,f2381,f2022,f2764]) ).
fof(f2526,plain,
( spl72_121
<=> sK22 = cons(hd(sK22),sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_121])]) ).
fof(f2761,plain,
( tl(sK22) = sK25(sK22)
| ~ spl72_78
| ~ spl72_111
| ~ spl72_121 ),
inference(forward_demodulation,[],[f2739,f2528]) ).
fof(f2528,plain,
( sK22 = cons(hd(sK22),sK25(sK22))
| ~ spl72_121 ),
inference(avatar_component_clause,[],[f2526]) ).
fof(f2739,plain,
( sK25(sK22) = tl(cons(hd(sK22),sK25(sK22)))
| ~ spl72_78
| ~ spl72_111 ),
inference(resolution,[],[f2395,f2023]) ).
fof(f2720,plain,
( spl72_135
| ~ spl72_72
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2654,f2597,f1946,f2717]) ).
fof(f2717,plain,
( spl72_135
<=> sK26(sK21) = hd(cons(sK26(sK21),tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_135])]) ).
fof(f2597,plain,
( spl72_127
<=> ssList(tl(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_127])]) ).
fof(f2654,plain,
( sK26(sK21) = hd(cons(sK26(sK21),tl(sK22)))
| ~ spl72_72
| ~ spl72_127 ),
inference(resolution,[],[f2620,f1947]) ).
fof(f2620,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,tl(sK22))) = X1 )
| ~ spl72_127 ),
inference(resolution,[],[f2598,f573]) ).
fof(f2598,plain,
( ssList(tl(sK22))
| ~ spl72_127 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2715,plain,
( spl72_134
| ~ spl72_76
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2651,f2597,f2003,f2712]) ).
fof(f2712,plain,
( spl72_134
<=> hd(sK21) = hd(cons(hd(sK21),tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_134])]) ).
fof(f2651,plain,
( hd(sK21) = hd(cons(hd(sK21),tl(sK22)))
| ~ spl72_76
| ~ spl72_127 ),
inference(resolution,[],[f2620,f2004]) ).
fof(f2694,plain,
( spl72_133
| ~ spl72_15
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2673,f2597,f687,f2691]) ).
fof(f2691,plain,
( spl72_133
<=> sK71 = hd(cons(sK71,tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_133])]) ).
fof(f2673,plain,
( sK71 = hd(cons(sK71,tl(sK22)))
| ~ spl72_15
| ~ spl72_127 ),
inference(resolution,[],[f2620,f689]) ).
fof(f2689,plain,
( spl72_132
| ~ spl72_14
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2672,f2597,f682,f2686]) ).
fof(f2686,plain,
( spl72_132
<=> sK70 = hd(cons(sK70,tl(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_132])]) ).
fof(f2672,plain,
( sK70 = hd(cons(sK70,tl(sK22)))
| ~ spl72_14
| ~ spl72_127 ),
inference(resolution,[],[f2620,f684]) ).
fof(f2641,plain,
( spl72_131
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2614,f2597,f2638]) ).
fof(f2638,plain,
( spl72_131
<=> tl(sK22) = app(nil,tl(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_131])]) ).
fof(f2614,plain,
( tl(sK22) = app(nil,tl(sK22))
| ~ spl72_127 ),
inference(resolution,[],[f2598,f470]) ).
fof(f2636,plain,
( spl72_130
| ~ spl72_127 ),
inference(avatar_split_clause,[],[f2613,f2597,f2633]) ).
fof(f2633,plain,
( spl72_130
<=> tl(sK22) = app(tl(sK22),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_130])]) ).
fof(f2613,plain,
( tl(sK22) = app(tl(sK22),nil)
| ~ spl72_127 ),
inference(resolution,[],[f2598,f469]) ).
fof(f2631,plain,
( spl72_128
| spl72_129
| ~ spl72_126 ),
inference(avatar_split_clause,[],[f2622,f2590,f2628,f2624]) ).
fof(f2624,plain,
( spl72_128
<=> totalorderedP(tl(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_128])]) ).
fof(f2628,plain,
( spl72_129
<=> nil = tl(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_129])]) ).
fof(f2590,plain,
( spl72_126
<=> sP2(tl(sK22),hd(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_126])]) ).
fof(f2622,plain,
( nil = tl(sK22)
| totalorderedP(tl(sK22))
| ~ spl72_126 ),
inference(resolution,[],[f2592,f447]) ).
fof(f2592,plain,
( sP2(tl(sK22),hd(sK22))
| ~ spl72_126 ),
inference(avatar_component_clause,[],[f2590]) ).
fof(f2604,plain,
( ~ spl72_2
| spl72_28
| spl72_127 ),
inference(avatar_contradiction_clause,[],[f2603]) ).
fof(f2603,plain,
( $false
| ~ spl72_2
| spl72_28
| spl72_127 ),
inference(subsumption_resolution,[],[f2602,f624]) ).
fof(f2602,plain,
( ~ ssList(sK22)
| spl72_28
| spl72_127 ),
inference(subsumption_resolution,[],[f2601,f948]) ).
fof(f948,plain,
( nil != sK22
| spl72_28 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl72_28
<=> nil = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_28])]) ).
fof(f2601,plain,
( nil = sK22
| ~ ssList(sK22)
| spl72_127 ),
inference(resolution,[],[f2599,f475]) ).
fof(f2599,plain,
( ~ ssList(tl(sK22))
| spl72_127 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2600,plain,
( ~ spl72_127
| ~ spl72_78
| spl72_125 ),
inference(avatar_split_clause,[],[f2595,f2586,f2022,f2597]) ).
fof(f2586,plain,
( spl72_125
<=> sP3(hd(sK22),tl(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_125])]) ).
fof(f2595,plain,
( ~ ssList(tl(sK22))
| ~ spl72_78
| spl72_125 ),
inference(subsumption_resolution,[],[f2594,f2023]) ).
fof(f2594,plain,
( ~ ssList(tl(sK22))
| ~ ssItem(hd(sK22))
| spl72_125 ),
inference(resolution,[],[f2588,f451]) ).
fof(f2588,plain,
( ~ sP3(hd(sK22),tl(sK22))
| spl72_125 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f2593,plain,
( ~ spl72_125
| spl72_126
| ~ spl72_69
| ~ spl72_71 ),
inference(avatar_split_clause,[],[f1942,f1915,f1854,f2590,f2586]) ).
fof(f1854,plain,
( spl72_69
<=> totalorderedP(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_69])]) ).
fof(f1915,plain,
( spl72_71
<=> sK22 = cons(hd(sK22),tl(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_71])]) ).
fof(f1942,plain,
( sP2(tl(sK22),hd(sK22))
| ~ sP3(hd(sK22),tl(sK22))
| ~ spl72_69
| ~ spl72_71 ),
inference(subsumption_resolution,[],[f1935,f1856]) ).
fof(f1856,plain,
( totalorderedP(sK22)
| ~ spl72_69 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1935,plain,
( ~ totalorderedP(sK22)
| sP2(tl(sK22),hd(sK22))
| ~ sP3(hd(sK22),tl(sK22))
| ~ spl72_71 ),
inference(superposition,[],[f444,f1917]) ).
fof(f1917,plain,
( sK22 = cons(hd(sK22),tl(sK22))
| ~ spl72_71 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f2568,plain,
( spl72_124
| ~ spl72_72
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2440,f2381,f1946,f2565]) ).
fof(f2565,plain,
( spl72_124
<=> sK26(sK21) = hd(cons(sK26(sK21),sK25(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_124])]) ).
fof(f2440,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK25(sK22)))
| ~ spl72_72
| ~ spl72_111 ),
inference(resolution,[],[f2396,f1947]) ).
fof(f2396,plain,
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,sK25(sK22))) = X1 )
| ~ spl72_111 ),
inference(resolution,[],[f2382,f573]) ).
fof(f2551,plain,
( spl72_123
| ~ spl72_76
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2437,f2381,f2003,f2548]) ).
fof(f2548,plain,
( spl72_123
<=> hd(sK21) = hd(cons(hd(sK21),sK25(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_123])]) ).
fof(f2437,plain,
( hd(sK21) = hd(cons(hd(sK21),sK25(sK22)))
| ~ spl72_76
| ~ spl72_111 ),
inference(resolution,[],[f2396,f2004]) ).
fof(f2546,plain,
( spl72_122
| ~ spl72_68
| ~ spl72_74
| ~ spl72_78
| ~ spl72_111
| ~ spl72_116 ),
inference(avatar_split_clause,[],[f2541,f2462,f2381,f2022,f1965,f1733,f2543]) ).
fof(f2543,plain,
( spl72_122
<=> memberP(sK22,hd(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_122])]) ).
fof(f2541,plain,
( memberP(sK22,hd(sK22))
| ~ spl72_68
| ~ spl72_74
| ~ spl72_78
| ~ spl72_111
| ~ spl72_116 ),
inference(subsumption_resolution,[],[f2540,f2023]) ).
fof(f2540,plain,
( memberP(sK22,hd(sK22))
| ~ ssItem(hd(sK22))
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111
| ~ spl72_116 ),
inference(equality_resolution,[],[f2495]) ).
fof(f2495,plain,
( ! [X1] :
( hd(sK22) != X1
| memberP(sK22,X1)
| ~ ssItem(X1) )
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111
| ~ spl72_116 ),
inference(forward_demodulation,[],[f2494,f2464]) ).
fof(f2494,plain,
( ! [X1] :
( memberP(sK22,X1)
| sK26(sK22) != X1
| ~ ssItem(X1) )
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111 ),
inference(subsumption_resolution,[],[f2493,f1966]) ).
fof(f2493,plain,
( ! [X1] :
( memberP(sK22,X1)
| sK26(sK22) != X1
| ~ ssItem(sK26(sK22))
| ~ ssItem(X1) )
| ~ spl72_68
| ~ spl72_111 ),
inference(subsumption_resolution,[],[f2489,f2382]) ).
fof(f2489,plain,
( ! [X1] :
( memberP(sK22,X1)
| sK26(sK22) != X1
| ~ ssList(sK25(sK22))
| ~ ssItem(sK26(sK22))
| ~ ssItem(X1) )
| ~ spl72_68 ),
inference(superposition,[],[f439,f1735]) ).
fof(f2529,plain,
( spl72_121
| ~ spl72_68
| ~ spl72_116 ),
inference(avatar_split_clause,[],[f2466,f2462,f1733,f2526]) ).
fof(f2466,plain,
( sK22 = cons(hd(sK22),sK25(sK22))
| ~ spl72_68
| ~ spl72_116 ),
inference(superposition,[],[f1735,f2464]) ).
fof(f2508,plain,
( spl72_120
| ~ spl72_15
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2459,f2381,f687,f2505]) ).
fof(f2505,plain,
( spl72_120
<=> sK71 = hd(cons(sK71,sK25(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_120])]) ).
fof(f2459,plain,
( sK71 = hd(cons(sK71,sK25(sK22)))
| ~ spl72_15
| ~ spl72_111 ),
inference(resolution,[],[f2396,f689]) ).
fof(f2503,plain,
( spl72_119
| ~ spl72_14
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2458,f2381,f682,f2500]) ).
fof(f2500,plain,
( spl72_119
<=> sK70 = hd(cons(sK70,sK25(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_119])]) ).
fof(f2458,plain,
( sK70 = hd(cons(sK70,sK25(sK22)))
| ~ spl72_14
| ~ spl72_111 ),
inference(resolution,[],[f2396,f684]) ).
fof(f2486,plain,
( spl72_118
| ~ spl72_110
| ~ spl72_116 ),
inference(avatar_split_clause,[],[f2475,f2462,f2374,f2483]) ).
fof(f2483,plain,
( spl72_118
<=> sP2(sK25(sK22),hd(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_118])]) ).
fof(f2374,plain,
( spl72_110
<=> sP2(sK25(sK22),sK26(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_110])]) ).
fof(f2475,plain,
( sP2(sK25(sK22),hd(sK22))
| ~ spl72_110
| ~ spl72_116 ),
inference(superposition,[],[f2376,f2464]) ).
fof(f2376,plain,
( sP2(sK25(sK22),sK26(sK22))
| ~ spl72_110 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2481,plain,
( spl72_117
| ~ spl72_109
| ~ spl72_116 ),
inference(avatar_split_clause,[],[f2474,f2462,f2370,f2478]) ).
fof(f2478,plain,
( spl72_117
<=> sP3(hd(sK22),sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_117])]) ).
fof(f2370,plain,
( spl72_109
<=> sP3(sK26(sK22),sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_109])]) ).
fof(f2474,plain,
( sP3(hd(sK22),sK25(sK22))
| ~ spl72_109
| ~ spl72_116 ),
inference(superposition,[],[f2371,f2464]) ).
fof(f2371,plain,
( sP3(sK26(sK22),sK25(sK22))
| ~ spl72_109 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f2465,plain,
( spl72_116
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2460,f2381,f1965,f1733,f2462]) ).
fof(f2460,plain,
( hd(sK22) = sK26(sK22)
| ~ spl72_68
| ~ spl72_74
| ~ spl72_111 ),
inference(forward_demodulation,[],[f2441,f1735]) ).
fof(f2441,plain,
( sK26(sK22) = hd(cons(sK26(sK22),sK25(sK22)))
| ~ spl72_74
| ~ spl72_111 ),
inference(resolution,[],[f2396,f1966]) ).
fof(f2429,plain,
( spl72_115
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2390,f2381,f2426]) ).
fof(f2426,plain,
( spl72_115
<=> sK25(sK22) = app(nil,sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_115])]) ).
fof(f2390,plain,
( sK25(sK22) = app(nil,sK25(sK22))
| ~ spl72_111 ),
inference(resolution,[],[f2382,f470]) ).
fof(f2424,plain,
( spl72_114
| ~ spl72_111 ),
inference(avatar_split_clause,[],[f2389,f2381,f2421]) ).
fof(f2421,plain,
( spl72_114
<=> sK25(sK22) = app(sK25(sK22),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_114])]) ).
fof(f2389,plain,
( sK25(sK22) = app(sK25(sK22),nil)
| ~ spl72_111 ),
inference(resolution,[],[f2382,f469]) ).
fof(f2407,plain,
( spl72_112
| spl72_113
| ~ spl72_110 ),
inference(avatar_split_clause,[],[f2398,f2374,f2404,f2400]) ).
fof(f2400,plain,
( spl72_112
<=> totalorderedP(sK25(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_112])]) ).
fof(f2404,plain,
( spl72_113
<=> nil = sK25(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_113])]) ).
fof(f2398,plain,
( nil = sK25(sK22)
| totalorderedP(sK25(sK22))
| ~ spl72_110 ),
inference(resolution,[],[f2376,f447]) ).
fof(f2388,plain,
( ~ spl72_2
| spl72_28
| spl72_111 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl72_2
| spl72_28
| spl72_111 ),
inference(subsumption_resolution,[],[f2386,f624]) ).
fof(f2386,plain,
( ~ ssList(sK22)
| spl72_28
| spl72_111 ),
inference(subsumption_resolution,[],[f2385,f948]) ).
fof(f2385,plain,
( nil = sK22
| ~ ssList(sK22)
| spl72_111 ),
inference(resolution,[],[f2383,f471]) ).
fof(f2383,plain,
( ~ ssList(sK25(sK22))
| spl72_111 ),
inference(avatar_component_clause,[],[f2381]) ).
fof(f2384,plain,
( ~ spl72_111
| ~ spl72_74
| spl72_109 ),
inference(avatar_split_clause,[],[f2379,f2370,f1965,f2381]) ).
fof(f2379,plain,
( ~ ssList(sK25(sK22))
| ~ spl72_74
| spl72_109 ),
inference(subsumption_resolution,[],[f2378,f1966]) ).
fof(f2378,plain,
( ~ ssList(sK25(sK22))
| ~ ssItem(sK26(sK22))
| spl72_109 ),
inference(resolution,[],[f2372,f451]) ).
fof(f2372,plain,
( ~ sP3(sK26(sK22),sK25(sK22))
| spl72_109 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f2377,plain,
( ~ spl72_109
| spl72_110
| ~ spl72_68
| ~ spl72_69 ),
inference(avatar_split_clause,[],[f1906,f1854,f1733,f2374,f2370]) ).
fof(f1906,plain,
( sP2(sK25(sK22),sK26(sK22))
| ~ sP3(sK26(sK22),sK25(sK22))
| ~ spl72_68
| ~ spl72_69 ),
inference(subsumption_resolution,[],[f1899,f1856]) ).
fof(f1899,plain,
( ~ totalorderedP(sK22)
| sP2(sK25(sK22),sK26(sK22))
| ~ sP3(sK26(sK22),sK25(sK22))
| ~ spl72_68 ),
inference(superposition,[],[f444,f1735]) ).
fof(f2360,plain,
( ~ spl72_2
| ~ spl72_15
| spl72_107 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2359,plain,
( $false
| ~ spl72_2
| ~ spl72_15
| spl72_107 ),
inference(subsumption_resolution,[],[f2358,f689]) ).
fof(f2358,plain,
( ~ ssItem(sK71)
| ~ spl72_2
| spl72_107 ),
inference(subsumption_resolution,[],[f2357,f624]) ).
fof(f2357,plain,
( ~ ssList(sK22)
| ~ ssItem(sK71)
| spl72_107 ),
inference(resolution,[],[f2351,f451]) ).
fof(f2351,plain,
( ~ sP3(sK71,sK22)
| spl72_107 ),
inference(avatar_component_clause,[],[f2349]) ).
fof(f2349,plain,
( spl72_107
<=> sP3(sK71,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_107])]) ).
fof(f2356,plain,
( ~ spl72_107
| ~ spl72_108
| spl72_104 ),
inference(avatar_split_clause,[],[f2337,f2329,f2353,f2349]) ).
fof(f2353,plain,
( spl72_108
<=> sP2(sK22,sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_108])]) ).
fof(f2329,plain,
( spl72_104
<=> totalorderedP(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_104])]) ).
fof(f2337,plain,
( ~ sP2(sK22,sK71)
| ~ sP3(sK71,sK22)
| spl72_104 ),
inference(resolution,[],[f2331,f445]) ).
fof(f2331,plain,
( ~ totalorderedP(cons(sK71,sK22))
| spl72_104 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f2347,plain,
( ~ spl72_106
| spl72_105 ),
inference(avatar_split_clause,[],[f2342,f2333,f2344]) ).
fof(f2333,plain,
( spl72_105
<=> sP2(cons(sK71,sK22),sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_105])]) ).
fof(f2342,plain,
( nil != cons(sK71,sK22)
| spl72_105 ),
inference(resolution,[],[f2334,f449]) ).
fof(f2334,plain,
( ~ sP2(cons(sK71,sK22),sK71)
| spl72_105 ),
inference(avatar_component_clause,[],[f2333]) ).
fof(f2336,plain,
( ~ spl72_104
| spl72_105
| ~ spl72_15
| ~ spl72_47 ),
inference(avatar_split_clause,[],[f1565,f1363,f687,f2333,f2329]) ).
fof(f1565,plain,
( sP2(cons(sK71,sK22),sK71)
| ~ totalorderedP(cons(sK71,sK22))
| ~ spl72_15
| ~ spl72_47 ),
inference(subsumption_resolution,[],[f1564,f689]) ).
fof(f1564,plain,
( ~ ssItem(sK71)
| sP2(cons(sK71,sK22),sK71)
| ~ totalorderedP(cons(sK71,sK22))
| ~ spl72_47 ),
inference(forward_demodulation,[],[f1555,f1365]) ).
fof(f1555,plain,
( sP2(cons(sK71,sK22),sK71)
| ~ totalorderedP(cons(sK71,sK22))
| ~ ssItem(hd(cons(sK71,sK22)))
| ~ spl72_47 ),
inference(superposition,[],[f1540,f1365]) ).
fof(f2186,plain,
( spl72_103
| ~ spl72_1
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2037,f2022,f617,f2183]) ).
fof(f2183,plain,
( spl72_103
<=> hd(sK22) = hd(cons(hd(sK22),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_103])]) ).
fof(f2037,plain,
( hd(sK22) = hd(cons(hd(sK22),sK21))
| ~ spl72_1
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1181]) ).
fof(f2181,plain,
( spl72_102
| ~ spl72_2
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2036,f2022,f622,f2178]) ).
fof(f2178,plain,
( spl72_102
<=> hd(sK22) = hd(cons(hd(sK22),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_102])]) ).
fof(f2036,plain,
( hd(sK22) = hd(cons(hd(sK22),sK22))
| ~ spl72_2
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1182]) ).
fof(f1182,plain,
( ! [X13] :
( ~ ssItem(X13)
| hd(cons(X13,sK22)) = X13 )
| ~ spl72_2 ),
inference(resolution,[],[f573,f624]) ).
fof(f2176,plain,
( spl72_101
| ~ spl72_13
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2034,f2022,f677,f2173]) ).
fof(f2173,plain,
( spl72_101
<=> hd(sK22) = hd(cons(hd(sK22),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_101])]) ).
fof(f2034,plain,
( hd(sK22) = hd(cons(hd(sK22),nil))
| ~ spl72_13
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1178]) ).
fof(f1178,plain,
( ! [X6] :
( ~ ssItem(X6)
| hd(cons(X6,nil)) = X6 )
| ~ spl72_13 ),
inference(resolution,[],[f573,f679]) ).
fof(f2171,plain,
( spl72_100
| ~ spl72_1
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2018,f2003,f617,f2168]) ).
fof(f2168,plain,
( spl72_100
<=> hd(sK21) = hd(cons(hd(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_100])]) ).
fof(f2018,plain,
( hd(sK21) = hd(cons(hd(sK21),sK21))
| ~ spl72_1
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1181]) ).
fof(f2166,plain,
( spl72_99
| ~ spl72_2
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2017,f2003,f622,f2163]) ).
fof(f2163,plain,
( spl72_99
<=> hd(sK21) = hd(cons(hd(sK21),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_99])]) ).
fof(f2017,plain,
( hd(sK21) = hd(cons(hd(sK21),sK22))
| ~ spl72_2
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1182]) ).
fof(f2161,plain,
( spl72_98
| ~ spl72_13
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2015,f2003,f677,f2158]) ).
fof(f2158,plain,
( spl72_98
<=> hd(sK21) = hd(cons(hd(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_98])]) ).
fof(f2015,plain,
( hd(sK21) = hd(cons(hd(sK21),nil))
| ~ spl72_13
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1178]) ).
fof(f2156,plain,
( spl72_97
| ~ spl72_1
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1980,f1965,f617,f2153]) ).
fof(f2153,plain,
( spl72_97
<=> sK26(sK22) = hd(cons(sK26(sK22),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_97])]) ).
fof(f1980,plain,
( sK26(sK22) = hd(cons(sK26(sK22),sK21))
| ~ spl72_1
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1181]) ).
fof(f2151,plain,
( spl72_96
| ~ spl72_2
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1979,f1965,f622,f2148]) ).
fof(f2148,plain,
( spl72_96
<=> sK26(sK22) = hd(cons(sK26(sK22),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_96])]) ).
fof(f1979,plain,
( sK26(sK22) = hd(cons(sK26(sK22),sK22))
| ~ spl72_2
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1182]) ).
fof(f2146,plain,
( spl72_95
| ~ spl72_13
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1977,f1965,f677,f2143]) ).
fof(f2143,plain,
( spl72_95
<=> sK26(sK22) = hd(cons(sK26(sK22),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_95])]) ).
fof(f1977,plain,
( sK26(sK22) = hd(cons(sK26(sK22),nil))
| ~ spl72_13
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1178]) ).
fof(f2141,plain,
( spl72_94
| ~ spl72_1
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1961,f1946,f617,f2138]) ).
fof(f2138,plain,
( spl72_94
<=> sK26(sK21) = hd(cons(sK26(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_94])]) ).
fof(f1961,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK21))
| ~ spl72_1
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1181]) ).
fof(f2136,plain,
( spl72_93
| ~ spl72_2
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1960,f1946,f622,f2133]) ).
fof(f2133,plain,
( spl72_93
<=> sK26(sK21) = hd(cons(sK26(sK21),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f1960,plain,
( sK26(sK21) = hd(cons(sK26(sK21),sK22))
| ~ spl72_2
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1182]) ).
fof(f2131,plain,
( spl72_92
| ~ spl72_13
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1958,f1946,f677,f2128]) ).
fof(f2128,plain,
( spl72_92
<=> sK26(sK21) = hd(cons(sK26(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f1958,plain,
( sK26(sK21) = hd(cons(sK26(sK21),nil))
| ~ spl72_13
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1178]) ).
fof(f2103,plain,
( spl72_91
| ~ spl72_1
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2039,f2022,f617,f2100]) ).
fof(f2100,plain,
( spl72_91
<=> sK21 = tl(cons(hd(sK22),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_91])]) ).
fof(f2039,plain,
( sK21 = tl(cons(hd(sK22),sK21))
| ~ spl72_1
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1115]) ).
fof(f2098,plain,
( spl72_90
| ~ spl72_2
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2038,f2022,f622,f2095]) ).
fof(f2095,plain,
( spl72_90
<=> sK22 = tl(cons(hd(sK22),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f2038,plain,
( sK22 = tl(cons(hd(sK22),sK22))
| ~ spl72_2
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1116]) ).
fof(f2093,plain,
( spl72_89
| ~ spl72_13
| ~ spl72_78 ),
inference(avatar_split_clause,[],[f2035,f2022,f677,f2090]) ).
fof(f2090,plain,
( spl72_89
<=> nil = tl(cons(hd(sK22),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f2035,plain,
( nil = tl(cons(hd(sK22),nil))
| ~ spl72_13
| ~ spl72_78 ),
inference(resolution,[],[f2023,f1112]) ).
fof(f1112,plain,
( ! [X6] :
( ~ ssItem(X6)
| nil = tl(cons(X6,nil)) )
| ~ spl72_13 ),
inference(resolution,[],[f572,f679]) ).
fof(f2088,plain,
( spl72_88
| ~ spl72_1
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2020,f2003,f617,f2085]) ).
fof(f2085,plain,
( spl72_88
<=> sK21 = tl(cons(hd(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f2020,plain,
( sK21 = tl(cons(hd(sK21),sK21))
| ~ spl72_1
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1115]) ).
fof(f2083,plain,
( spl72_87
| ~ spl72_2
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2019,f2003,f622,f2080]) ).
fof(f2080,plain,
( spl72_87
<=> sK22 = tl(cons(hd(sK21),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f2019,plain,
( sK22 = tl(cons(hd(sK21),sK22))
| ~ spl72_2
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1116]) ).
fof(f2078,plain,
( spl72_86
| ~ spl72_13
| ~ spl72_76 ),
inference(avatar_split_clause,[],[f2016,f2003,f677,f2075]) ).
fof(f2075,plain,
( spl72_86
<=> nil = tl(cons(hd(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_86])]) ).
fof(f2016,plain,
( nil = tl(cons(hd(sK21),nil))
| ~ spl72_13
| ~ spl72_76 ),
inference(resolution,[],[f2004,f1112]) ).
fof(f2073,plain,
( spl72_85
| ~ spl72_1
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1982,f1965,f617,f2070]) ).
fof(f2070,plain,
( spl72_85
<=> sK21 = tl(cons(sK26(sK22),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_85])]) ).
fof(f1982,plain,
( sK21 = tl(cons(sK26(sK22),sK21))
| ~ spl72_1
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1115]) ).
fof(f2068,plain,
( spl72_84
| ~ spl72_2
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1981,f1965,f622,f2065]) ).
fof(f2065,plain,
( spl72_84
<=> sK22 = tl(cons(sK26(sK22),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_84])]) ).
fof(f1981,plain,
( sK22 = tl(cons(sK26(sK22),sK22))
| ~ spl72_2
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1116]) ).
fof(f2063,plain,
( spl72_83
| ~ spl72_13
| ~ spl72_74 ),
inference(avatar_split_clause,[],[f1978,f1965,f677,f2060]) ).
fof(f2060,plain,
( spl72_83
<=> nil = tl(cons(sK26(sK22),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_83])]) ).
fof(f1978,plain,
( nil = tl(cons(sK26(sK22),nil))
| ~ spl72_13
| ~ spl72_74 ),
inference(resolution,[],[f1966,f1112]) ).
fof(f2054,plain,
( spl72_82
| ~ spl72_1
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1963,f1946,f617,f2051]) ).
fof(f2051,plain,
( spl72_82
<=> sK21 = tl(cons(sK26(sK21),sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_82])]) ).
fof(f1963,plain,
( sK21 = tl(cons(sK26(sK21),sK21))
| ~ spl72_1
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1115]) ).
fof(f2049,plain,
( spl72_81
| ~ spl72_2
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1962,f1946,f622,f2046]) ).
fof(f2046,plain,
( spl72_81
<=> sK22 = tl(cons(sK26(sK21),sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_81])]) ).
fof(f1962,plain,
( sK22 = tl(cons(sK26(sK21),sK22))
| ~ spl72_2
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1116]) ).
fof(f2044,plain,
( spl72_80
| ~ spl72_13
| ~ spl72_72 ),
inference(avatar_split_clause,[],[f1959,f1946,f677,f2041]) ).
fof(f2041,plain,
( spl72_80
<=> nil = tl(cons(sK26(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_80])]) ).
fof(f1959,plain,
( nil = tl(cons(sK26(sK21),nil))
| ~ spl72_13
| ~ spl72_72 ),
inference(resolution,[],[f1947,f1112]) ).
fof(f2033,plain,
( ~ spl72_2
| spl72_28
| spl72_78 ),
inference(avatar_contradiction_clause,[],[f2032]) ).
fof(f2032,plain,
( $false
| ~ spl72_2
| spl72_28
| spl72_78 ),
inference(subsumption_resolution,[],[f2031,f624]) ).
fof(f2031,plain,
( ~ ssList(sK22)
| spl72_28
| spl72_78 ),
inference(subsumption_resolution,[],[f2030,f948]) ).
fof(f2030,plain,
( nil = sK22
| ~ ssList(sK22)
| spl72_78 ),
inference(resolution,[],[f2024,f474]) ).
fof(f2024,plain,
( ~ ssItem(hd(sK22))
| spl72_78 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2029,plain,
( ~ spl72_78
| ~ spl72_79
| ~ spl72_2
| ~ spl72_71 ),
inference(avatar_split_clause,[],[f1944,f1915,f622,f2026,f2022]) ).
fof(f2026,plain,
( spl72_79
<=> sK22 = tl(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_79])]) ).
fof(f1944,plain,
( sK22 != tl(sK22)
| ~ ssItem(hd(sK22))
| ~ spl72_2
| ~ spl72_71 ),
inference(subsumption_resolution,[],[f1943,f624]) ).
fof(f1943,plain,
( sK22 != tl(sK22)
| ~ ssItem(hd(sK22))
| ~ ssList(sK22)
| ~ spl72_71 ),
inference(inner_rewriting,[],[f1941]) ).
fof(f1941,plain,
( sK22 != tl(sK22)
| ~ ssItem(hd(sK22))
| ~ ssList(tl(sK22))
| ~ spl72_71 ),
inference(superposition,[],[f571,f1917]) ).
fof(f2014,plain,
( ~ spl72_1
| spl72_33
| spl72_76 ),
inference(avatar_contradiction_clause,[],[f2013]) ).
fof(f2013,plain,
( $false
| ~ spl72_1
| spl72_33
| spl72_76 ),
inference(subsumption_resolution,[],[f2012,f619]) ).
fof(f2012,plain,
( ~ ssList(sK21)
| spl72_33
| spl72_76 ),
inference(subsumption_resolution,[],[f2011,f1081]) ).
fof(f2011,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_76 ),
inference(resolution,[],[f2005,f474]) ).
fof(f2005,plain,
( ~ ssItem(hd(sK21))
| spl72_76 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f2010,plain,
( ~ spl72_76
| ~ spl72_77
| ~ spl72_1
| ~ spl72_70 ),
inference(avatar_split_clause,[],[f1934,f1910,f617,f2007,f2003]) ).
fof(f2007,plain,
( spl72_77
<=> sK21 = tl(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_77])]) ).
fof(f1910,plain,
( spl72_70
<=> sK21 = cons(hd(sK21),tl(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_70])]) ).
fof(f1934,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ spl72_1
| ~ spl72_70 ),
inference(subsumption_resolution,[],[f1933,f619]) ).
fof(f1933,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(sK21)
| ~ spl72_70 ),
inference(inner_rewriting,[],[f1932]) ).
fof(f1932,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(tl(sK21))
| ~ spl72_70 ),
inference(superposition,[],[f571,f1912]) ).
fof(f1912,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_70 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1976,plain,
( ~ spl72_2
| spl72_28
| spl72_74 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
fof(f1975,plain,
( $false
| ~ spl72_2
| spl72_28
| spl72_74 ),
inference(subsumption_resolution,[],[f1974,f624]) ).
fof(f1974,plain,
( ~ ssList(sK22)
| spl72_28
| spl72_74 ),
inference(subsumption_resolution,[],[f1973,f948]) ).
fof(f1973,plain,
( nil = sK22
| ~ ssList(sK22)
| spl72_74 ),
inference(resolution,[],[f1967,f472]) ).
fof(f1967,plain,
( ~ ssItem(sK26(sK22))
| spl72_74 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f1972,plain,
( ~ spl72_74
| ~ spl72_75
| ~ spl72_2
| ~ spl72_68 ),
inference(avatar_split_clause,[],[f1908,f1733,f622,f1969,f1965]) ).
fof(f1969,plain,
( spl72_75
<=> sK22 = sK25(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_75])]) ).
fof(f1908,plain,
( sK22 != sK25(sK22)
| ~ ssItem(sK26(sK22))
| ~ spl72_2
| ~ spl72_68 ),
inference(subsumption_resolution,[],[f1907,f624]) ).
fof(f1907,plain,
( sK22 != sK25(sK22)
| ~ ssItem(sK26(sK22))
| ~ ssList(sK22)
| ~ spl72_68 ),
inference(inner_rewriting,[],[f1905]) ).
fof(f1905,plain,
( sK22 != sK25(sK22)
| ~ ssItem(sK26(sK22))
| ~ ssList(sK25(sK22))
| ~ spl72_68 ),
inference(superposition,[],[f571,f1735]) ).
fof(f1957,plain,
( ~ spl72_1
| spl72_33
| spl72_72 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1956,plain,
( $false
| ~ spl72_1
| spl72_33
| spl72_72 ),
inference(subsumption_resolution,[],[f1955,f619]) ).
fof(f1955,plain,
( ~ ssList(sK21)
| spl72_33
| spl72_72 ),
inference(subsumption_resolution,[],[f1954,f1081]) ).
fof(f1954,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_72 ),
inference(resolution,[],[f1948,f472]) ).
fof(f1948,plain,
( ~ ssItem(sK26(sK21))
| spl72_72 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f1953,plain,
( ~ spl72_72
| ~ spl72_73
| ~ spl72_1
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f1898,f1728,f617,f1950,f1946]) ).
fof(f1950,plain,
( spl72_73
<=> sK21 = sK25(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_73])]) ).
fof(f1728,plain,
( spl72_67
<=> sK21 = cons(sK26(sK21),sK25(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f1898,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ spl72_1
| ~ spl72_67 ),
inference(subsumption_resolution,[],[f1897,f619]) ).
fof(f1897,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK21)
| ~ spl72_67 ),
inference(inner_rewriting,[],[f1896]) ).
fof(f1896,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK25(sK21))
| ~ spl72_67 ),
inference(superposition,[],[f571,f1730]) ).
fof(f1730,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_67 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1925,plain,
( spl72_71
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(avatar_split_clause,[],[f1846,f946,f692,f632,f1915]) ).
fof(f632,plain,
( spl72_4
<=> ssList(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f692,plain,
( spl72_16
<=> sK22 = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f1846,plain,
( sK22 = cons(hd(sK22),tl(sK22))
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(forward_demodulation,[],[f1845,f694]) ).
fof(f694,plain,
( sK22 = sK24
| ~ spl72_16 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f1845,plain,
( sK24 = cons(hd(sK24),tl(sK24))
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(subsumption_resolution,[],[f1844,f948]) ).
fof(f1844,plain,
( nil = sK22
| sK24 = cons(hd(sK24),tl(sK24))
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f1808,f694]) ).
fof(f1808,plain,
( nil = sK24
| sK24 = cons(hd(sK24),tl(sK24))
| ~ spl72_4 ),
inference(resolution,[],[f476,f634]) ).
fof(f634,plain,
( ssList(sK24)
| ~ spl72_4 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f1919,plain,
( spl72_70
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(avatar_split_clause,[],[f1843,f1080,f697,f627,f1910]) ).
fof(f627,plain,
( spl72_3
<=> ssList(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f697,plain,
( spl72_17
<=> sK21 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f1843,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(forward_demodulation,[],[f1842,f699]) ).
fof(f699,plain,
( sK21 = sK23
| ~ spl72_17 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f1842,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(subsumption_resolution,[],[f1841,f1081]) ).
fof(f1841,plain,
( nil = sK21
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_3
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1807,f699]) ).
fof(f1807,plain,
( nil = sK23
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_3 ),
inference(resolution,[],[f476,f629]) ).
fof(f629,plain,
( ssList(sK23)
| ~ spl72_3 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f1918,plain,
( spl72_71
| ~ spl72_2
| spl72_28 ),
inference(avatar_split_clause,[],[f1840,f946,f622,f1915]) ).
fof(f1840,plain,
( sK22 = cons(hd(sK22),tl(sK22))
| ~ spl72_2
| spl72_28 ),
inference(subsumption_resolution,[],[f1806,f948]) ).
fof(f1806,plain,
( nil = sK22
| sK22 = cons(hd(sK22),tl(sK22))
| ~ spl72_2 ),
inference(resolution,[],[f476,f624]) ).
fof(f1913,plain,
( spl72_70
| ~ spl72_1
| spl72_33 ),
inference(avatar_split_clause,[],[f1839,f1080,f617,f1910]) ).
fof(f1889,plain,
( spl72_67
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(avatar_split_clause,[],[f1709,f1080,f697,f627,f1728]) ).
fof(f1709,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(forward_demodulation,[],[f1708,f699]) ).
fof(f1708,plain,
( sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_3
| ~ spl72_17
| spl72_33 ),
inference(subsumption_resolution,[],[f1707,f1081]) ).
fof(f1707,plain,
( nil = sK21
| sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_3
| ~ spl72_17 ),
inference(forward_demodulation,[],[f1673,f699]) ).
fof(f1673,plain,
( nil = sK23
| sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_3 ),
inference(resolution,[],[f473,f629]) ).
fof(f1881,plain,
( spl72_69
| spl72_28
| ~ spl72_66 ),
inference(avatar_split_clause,[],[f1852,f1718,f946,f1854]) ).
fof(f1718,plain,
( spl72_66
<=> sP2(sK22,sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_66])]) ).
fof(f1852,plain,
( totalorderedP(sK22)
| spl72_28
| ~ spl72_66 ),
inference(subsumption_resolution,[],[f1851,f948]) ).
fof(f1851,plain,
( nil = sK22
| totalorderedP(sK22)
| ~ spl72_66 ),
inference(resolution,[],[f1719,f447]) ).
fof(f1719,plain,
( sP2(sK22,sK70)
| ~ spl72_66 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1880,plain,
( spl72_62
| ~ spl72_63
| spl72_64 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1879,plain,
( $false
| spl72_62
| ~ spl72_63
| spl72_64 ),
inference(subsumption_resolution,[],[f1878,f1649]) ).
fof(f1649,plain,
( ~ totalorderedP(cons(sK70,sK22))
| spl72_62 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1647,plain,
( spl72_62
<=> totalorderedP(cons(sK70,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f1878,plain,
( totalorderedP(cons(sK70,sK22))
| ~ spl72_63
| spl72_64 ),
inference(subsumption_resolution,[],[f1877,f1664]) ).
fof(f1877,plain,
( nil = cons(sK70,sK22)
| totalorderedP(cons(sK70,sK22))
| ~ spl72_63 ),
inference(resolution,[],[f1653,f447]) ).
fof(f1653,plain,
( sP2(cons(sK70,sK22),sK70)
| ~ spl72_63 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1651,plain,
( spl72_63
<=> sP2(cons(sK70,sK22),sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f1870,plain,
( ~ spl72_62
| ~ spl72_65
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| ~ spl72_62
| ~ spl72_65
| spl72_66 ),
inference(subsumption_resolution,[],[f1868,f1715]) ).
fof(f1715,plain,
( sP3(sK70,sK22)
| ~ spl72_65 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1714,plain,
( spl72_65
<=> sP3(sK70,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_65])]) ).
fof(f1868,plain,
( ~ sP3(sK70,sK22)
| ~ spl72_62
| spl72_66 ),
inference(subsumption_resolution,[],[f1867,f1720]) ).
fof(f1720,plain,
( ~ sP2(sK22,sK70)
| spl72_66 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1867,plain,
( sP2(sK22,sK70)
| ~ sP3(sK70,sK22)
| ~ spl72_62 ),
inference(resolution,[],[f1648,f444]) ).
fof(f1648,plain,
( totalorderedP(cons(sK70,sK22))
| ~ spl72_62 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1857,plain,
( spl72_69
| spl72_28
| ~ spl72_66 ),
inference(avatar_split_clause,[],[f1852,f1718,f946,f1854]) ).
fof(f1799,plain,
( ~ spl72_13
| ~ spl72_31 ),
inference(avatar_contradiction_clause,[],[f1798]) ).
fof(f1798,plain,
( $false
| ~ spl72_13
| ~ spl72_31 ),
inference(subsumption_resolution,[],[f1797,f679]) ).
fof(f1797,plain,
( ~ ssList(nil)
| ~ spl72_31 ),
inference(trivial_inequality_removal,[],[f1796]) ).
fof(f1796,plain,
( nil != nil
| ~ ssList(nil)
| ~ spl72_31 ),
inference(duplicate_literal_removal,[],[f1792]) ).
fof(f1792,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl72_31 ),
inference(resolution,[],[f1070,f586]) ).
fof(f1070,plain,
( neq(nil,nil)
| ~ spl72_31 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1068,plain,
( spl72_31
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f1789,plain,
( ~ spl72_2
| ~ spl72_13
| ~ spl72_19
| ~ spl72_28 ),
inference(avatar_contradiction_clause,[],[f1788]) ).
fof(f1788,plain,
( $false
| ~ spl72_2
| ~ spl72_13
| ~ spl72_19
| ~ spl72_28 ),
inference(global_subsumption,[],[f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f624,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f679,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f757,f754,f470,f800,f802,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f935,f936,f940,f938,f429,f430,f431,f444,f952,f955,f445,f448,f452,f959,f962,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1019,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f1116,f1264,f1265,f1266,f587,f1182,f1337,f1338,f1339,f1340,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f576,f1402,f1403,f1404,f1405,f1406,f1407,f1276,f1277,f1278,f1279,f1280,f1281,f588,f1419,f1420,f1421,f1422,f1423,f1424,f1341,f1434,f1342,f1435,f589,f1436,f1437,f1438,f1439,f1440,f1441,f1343,f1442,f1344,f1443,f1345,f1444,f1346,f1445,f1347,f1446,f1348,f1447,f1349,f1448,f1350,f1449,f1351,f1450,f1352,f1451,f1353,f1452,f592,f1453,f1454,f1455,f1456,f1457,f1458,f1354,f1459,f1112,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1178,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1256,f1267,f1394,f1395,f1396,f1397,f1398,f1534,f1399,f1400,f1401,f1408,f1409,f1410,f1547,f1411,f1548,f1412,f1549,f1413,f1550,f1540,f1579,f473,f1703,f1667,f1669,f1704,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1672,f1783,f947,f1061,f744,f1787]) ).
fof(f1787,plain,
( nil != sK22
| ~ spl72_2
| ~ spl72_13
| ~ spl72_19 ),
inference(subsumption_resolution,[],[f1786,f624]) ).
fof(f1786,plain,
( nil != sK22
| ~ ssList(sK22)
| ~ spl72_13
| ~ spl72_19 ),
inference(subsumption_resolution,[],[f1784,f679]) ).
fof(f1784,plain,
( nil != sK22
| ~ ssList(nil)
| ~ ssList(sK22)
| ~ spl72_19 ),
inference(resolution,[],[f744,f586]) ).
fof(f744,plain,
( neq(sK22,nil)
| ~ spl72_19 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl72_19
<=> neq(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f1061,plain,
( neq(nil,nil)
| ~ spl72_19
| ~ spl72_28 ),
inference(superposition,[],[f744,f947]) ).
fof(f947,plain,
( nil = sK22
| ~ spl72_28 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1783,plain,
( nil = sK22
| ~ spl72_2
| ~ spl72_28 ),
inference(global_subsumption,[],[f1672,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f947]) ).
fof(f1672,plain,
( nil = sK22
| sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_2 ),
inference(resolution,[],[f473,f624]) ).
fof(f1704,plain,
( ! [X6,X5] :
( sK20(X5,X6) = cons(sK26(sK20(X5,X6)),sK25(sK20(X5,X6)))
| ~ sP0(X5,X6) )
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f1670,f1256]) ).
fof(f1670,plain,
! [X6,X5] :
( nil = sK20(X5,X6)
| sK20(X5,X6) = cons(sK26(sK20(X5,X6)),sK25(sK20(X5,X6)))
| ~ sP0(X5,X6) ),
inference(resolution,[],[f473,f387]) ).
fof(f1550,plain,
( ! [X0,X1] :
( sK22 = tl(cons(sK60(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1413,f452]) ).
fof(f1413,plain,
( ! [X0] :
( strictorderedP(X0)
| sK22 = tl(cons(sK60(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1281,f721]) ).
fof(f1549,plain,
( ! [X0,X1] :
( sK22 = tl(cons(sK59(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1412,f452]) ).
fof(f1412,plain,
( ! [X0] :
( strictorderedP(X0)
| sK22 = tl(cons(sK59(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1280,f721]) ).
fof(f1548,plain,
( ! [X0,X1] :
( sK22 = tl(cons(sK55(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1411,f444]) ).
fof(f1547,plain,
( ! [X0,X1] :
( sK22 = tl(cons(sK54(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1410,f444]) ).
fof(f1409,plain,
( ! [X0] :
( cyclefreeP(X0)
| sK22 = tl(cons(sK50(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1277,f717]) ).
fof(f1408,plain,
( ! [X0] :
( cyclefreeP(X0)
| sK22 = tl(cons(sK49(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1276,f717]) ).
fof(f1401,plain,
( ! [X0] :
( strictorderP(X0)
| sK22 = tl(cons(sK45(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1275,f715]) ).
fof(f1400,plain,
( ! [X0] :
( strictorderP(X0)
| sK22 = tl(cons(sK44(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1274,f715]) ).
fof(f1399,plain,
( ! [X0] :
( totalorderP(X0)
| sK22 = tl(cons(sK40(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1273,f713]) ).
fof(f1398,plain,
( ! [X0] :
( totalorderP(X0)
| sK22 = tl(cons(sK39(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1272,f713]) ).
fof(f1397,plain,
( ! [X0] :
( duplicatefreeP(X0)
| sK22 = tl(cons(sK35(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1271,f711]) ).
fof(f1396,plain,
( ! [X0] :
( duplicatefreeP(X0)
| sK22 = tl(cons(sK34(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1270,f711]) ).
fof(f1395,plain,
( ! [X0] :
( equalelemsP(X0)
| sK22 = tl(cons(sK31(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1269,f709]) ).
fof(f1394,plain,
( ! [X0] :
( equalelemsP(X0)
| sK22 = tl(cons(sK30(X0),sK22))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1268,f709]) ).
fof(f1267,plain,
( ! [X3] :
( ~ singletonP(X3)
| sK22 = tl(cons(sK29(X3),sK22))
| ~ ssList(X3) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f481]) ).
fof(f1256,plain,
( ! [X0,X1] :
( nil != sK20(X0,X1)
| ~ sP0(X0,X1) )
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f1255,f387]) ).
fof(f1255,plain,
( ! [X0,X1] :
( nil != sK20(X0,X1)
| ~ ssList(sK20(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f1253,f679]) ).
fof(f1253,plain,
! [X0,X1] :
( nil != sK20(X0,X1)
| ~ ssList(nil)
| ~ ssList(sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f586,f388]) ).
fof(f1509,plain,
( ! [X17] :
( sK60(X17) = hd(cons(sK60(X17),nil))
| sP18(X17) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f556]) ).
fof(f1508,plain,
( ! [X16] :
( sK59(X16) = hd(cons(sK59(X16),nil))
| sP18(X16) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f555]) ).
fof(f1507,plain,
( ! [X15] :
( sK55(X15) = hd(cons(sK55(X15),nil))
| sP16(X15) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f545]) ).
fof(f1506,plain,
( ! [X14] :
( sK54(X14) = hd(cons(sK54(X14),nil))
| sP16(X14) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f544]) ).
fof(f1505,plain,
( ! [X13] :
( sK50(X13) = hd(cons(sK50(X13),nil))
| sP14(X13) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f533]) ).
fof(f1504,plain,
( ! [X12] :
( sK49(X12) = hd(cons(sK49(X12),nil))
| sP14(X12) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f532]) ).
fof(f1503,plain,
( ! [X11] :
( sK45(X11) = hd(cons(sK45(X11),nil))
| sP12(X11) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f521]) ).
fof(f1502,plain,
( ! [X10] :
( sK44(X10) = hd(cons(sK44(X10),nil))
| sP12(X10) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f520]) ).
fof(f1501,plain,
( ! [X9] :
( sK40(X9) = hd(cons(sK40(X9),nil))
| sP10(X9) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f509]) ).
fof(f1500,plain,
( ! [X8] :
( sK39(X8) = hd(cons(sK39(X8),nil))
| sP10(X8) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f508]) ).
fof(f1499,plain,
( ! [X7] :
( sK35(X7) = hd(cons(sK35(X7),nil))
| sP8(X7) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f498]) ).
fof(f1498,plain,
( ! [X6] :
( sK34(X6) = hd(cons(sK34(X6),nil))
| sP8(X6) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f497]) ).
fof(f1497,plain,
( ! [X5] :
( sK31(X5) = hd(cons(sK31(X5),nil))
| sP6(X5) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f488]) ).
fof(f1496,plain,
( ! [X4] :
( sK30(X4) = hd(cons(sK30(X4),nil))
| sP6(X4) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f487]) ).
fof(f1495,plain,
( ! [X3] :
( sK29(X3) = hd(cons(sK29(X3),nil))
| ~ singletonP(X3)
| ~ ssList(X3) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f481]) ).
fof(f1494,plain,
( ! [X2] :
( sK27(X2) = hd(cons(sK27(X2),nil))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f477]) ).
fof(f1493,plain,
( ! [X1] :
( sK26(X1) = hd(cons(sK26(X1),nil))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f472]) ).
fof(f1492,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_13 ),
inference(resolution,[],[f1178,f474]) ).
fof(f1477,plain,
( ! [X17] :
( nil = tl(cons(sK60(X17),nil))
| sP18(X17) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f556]) ).
fof(f1476,plain,
( ! [X16] :
( nil = tl(cons(sK59(X16),nil))
| sP18(X16) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f555]) ).
fof(f1475,plain,
( ! [X15] :
( nil = tl(cons(sK55(X15),nil))
| sP16(X15) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f545]) ).
fof(f1474,plain,
( ! [X14] :
( nil = tl(cons(sK54(X14),nil))
| sP16(X14) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f544]) ).
fof(f1473,plain,
( ! [X13] :
( nil = tl(cons(sK50(X13),nil))
| sP14(X13) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f533]) ).
fof(f1472,plain,
( ! [X12] :
( nil = tl(cons(sK49(X12),nil))
| sP14(X12) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f532]) ).
fof(f1471,plain,
( ! [X11] :
( nil = tl(cons(sK45(X11),nil))
| sP12(X11) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f521]) ).
fof(f1470,plain,
( ! [X10] :
( nil = tl(cons(sK44(X10),nil))
| sP12(X10) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f520]) ).
fof(f1469,plain,
( ! [X9] :
( nil = tl(cons(sK40(X9),nil))
| sP10(X9) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f509]) ).
fof(f1468,plain,
( ! [X8] :
( nil = tl(cons(sK39(X8),nil))
| sP10(X8) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f508]) ).
fof(f1467,plain,
( ! [X7] :
( nil = tl(cons(sK35(X7),nil))
| sP8(X7) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f498]) ).
fof(f1466,plain,
( ! [X6] :
( nil = tl(cons(sK34(X6),nil))
| sP8(X6) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f497]) ).
fof(f1465,plain,
( ! [X5] :
( nil = tl(cons(sK31(X5),nil))
| sP6(X5) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f488]) ).
fof(f1464,plain,
( ! [X4] :
( nil = tl(cons(sK30(X4),nil))
| sP6(X4) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f487]) ).
fof(f1463,plain,
( ! [X3] :
( nil = tl(cons(sK29(X3),nil))
| ~ singletonP(X3)
| ~ ssList(X3) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f481]) ).
fof(f1462,plain,
( ! [X2] :
( nil = tl(cons(sK27(X2),nil))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f477]) ).
fof(f1461,plain,
( ! [X1] :
( nil = tl(cons(sK26(X1),nil))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f472]) ).
fof(f1460,plain,
( ! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_13 ),
inference(resolution,[],[f1112,f474]) ).
fof(f1459,plain,
( ! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK22))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1354,f721]) ).
fof(f1354,plain,
( ! [X17] :
( sP18(X17)
| sK60(X17) = hd(cons(sK60(X17),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f556]) ).
fof(f1452,plain,
( ! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK22))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1353,f721]) ).
fof(f1353,plain,
( ! [X16] :
( sP18(X16)
| sK59(X16) = hd(cons(sK59(X16),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f555]) ).
fof(f1451,plain,
( ! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK22))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1352,f719]) ).
fof(f1352,plain,
( ! [X15] :
( sP16(X15)
| sK55(X15) = hd(cons(sK55(X15),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f545]) ).
fof(f1450,plain,
( ! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK22))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1351,f719]) ).
fof(f1351,plain,
( ! [X14] :
( sP16(X14)
| sK54(X14) = hd(cons(sK54(X14),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f544]) ).
fof(f1449,plain,
( ! [X0] :
( sK50(X0) = hd(cons(sK50(X0),sK22))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1350,f717]) ).
fof(f1350,plain,
( ! [X13] :
( sP14(X13)
| sK50(X13) = hd(cons(sK50(X13),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f533]) ).
fof(f1448,plain,
( ! [X0] :
( sK49(X0) = hd(cons(sK49(X0),sK22))
| cyclefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1349,f717]) ).
fof(f1349,plain,
( ! [X12] :
( sP14(X12)
| sK49(X12) = hd(cons(sK49(X12),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f532]) ).
fof(f1447,plain,
( ! [X0] :
( sK45(X0) = hd(cons(sK45(X0),sK22))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1348,f715]) ).
fof(f1348,plain,
( ! [X11] :
( sP12(X11)
| sK45(X11) = hd(cons(sK45(X11),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f521]) ).
fof(f1446,plain,
( ! [X0] :
( sK44(X0) = hd(cons(sK44(X0),sK22))
| strictorderP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1347,f715]) ).
fof(f1347,plain,
( ! [X10] :
( sP12(X10)
| sK44(X10) = hd(cons(sK44(X10),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f520]) ).
fof(f1445,plain,
( ! [X0] :
( sK40(X0) = hd(cons(sK40(X0),sK22))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1346,f713]) ).
fof(f1346,plain,
( ! [X9] :
( sP10(X9)
| sK40(X9) = hd(cons(sK40(X9),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f509]) ).
fof(f1444,plain,
( ! [X0] :
( sK39(X0) = hd(cons(sK39(X0),sK22))
| totalorderP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1345,f713]) ).
fof(f1345,plain,
( ! [X8] :
( sP10(X8)
| sK39(X8) = hd(cons(sK39(X8),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f508]) ).
fof(f1443,plain,
( ! [X0] :
( sK35(X0) = hd(cons(sK35(X0),sK22))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1344,f711]) ).
fof(f1344,plain,
( ! [X7] :
( sP8(X7)
| sK35(X7) = hd(cons(sK35(X7),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f498]) ).
fof(f1442,plain,
( ! [X0] :
( sK34(X0) = hd(cons(sK34(X0),sK22))
| duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1343,f711]) ).
fof(f1343,plain,
( ! [X6] :
( sP8(X6)
| sK34(X6) = hd(cons(sK34(X6),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f497]) ).
fof(f1435,plain,
( ! [X0] :
( sK31(X0) = hd(cons(sK31(X0),sK22))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1342,f709]) ).
fof(f1342,plain,
( ! [X5] :
( sP6(X5)
| sK31(X5) = hd(cons(sK31(X5),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f488]) ).
fof(f1434,plain,
( ! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK22))
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1341,f709]) ).
fof(f1341,plain,
( ! [X4] :
( sP6(X4)
| sK30(X4) = hd(cons(sK30(X4),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f487]) ).
fof(f1281,plain,
( ! [X17] :
( sP18(X17)
| sK22 = tl(cons(sK60(X17),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f556]) ).
fof(f1280,plain,
( ! [X16] :
( sP18(X16)
| sK22 = tl(cons(sK59(X16),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f555]) ).
fof(f1277,plain,
( ! [X13] :
( sP14(X13)
| sK22 = tl(cons(sK50(X13),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f533]) ).
fof(f1276,plain,
( ! [X12] :
( sP14(X12)
| sK22 = tl(cons(sK49(X12),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f532]) ).
fof(f1275,plain,
( ! [X11] :
( sP12(X11)
| sK22 = tl(cons(sK45(X11),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f521]) ).
fof(f1274,plain,
( ! [X10] :
( sP12(X10)
| sK22 = tl(cons(sK44(X10),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f520]) ).
fof(f1273,plain,
( ! [X9] :
( sP10(X9)
| sK22 = tl(cons(sK40(X9),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f509]) ).
fof(f1272,plain,
( ! [X8] :
( sP10(X8)
| sK22 = tl(cons(sK39(X8),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f508]) ).
fof(f1271,plain,
( ! [X7] :
( sP8(X7)
| sK22 = tl(cons(sK35(X7),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f498]) ).
fof(f1270,plain,
( ! [X6] :
( sP8(X6)
| sK22 = tl(cons(sK34(X6),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f497]) ).
fof(f1269,plain,
( ! [X5] :
( sP6(X5)
| sK22 = tl(cons(sK31(X5),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f488]) ).
fof(f1268,plain,
( ! [X4] :
( sP6(X4)
| sK22 = tl(cons(sK30(X4),sK22)) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f487]) ).
fof(f1340,plain,
( ! [X3] :
( sK29(X3) = hd(cons(sK29(X3),sK22))
| ~ singletonP(X3)
| ~ ssList(X3) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f481]) ).
fof(f1339,plain,
( ! [X2] :
( sK27(X2) = hd(cons(sK27(X2),sK22))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f477]) ).
fof(f1338,plain,
( ! [X1] :
( sK26(X1) = hd(cons(sK26(X1),sK22))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f472]) ).
fof(f1337,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),sK22))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1182,f474]) ).
fof(f1266,plain,
( ! [X2] :
( sK22 = tl(cons(sK27(X2),sK22))
| nil = X2
| ~ ssList(X2) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f477]) ).
fof(f1265,plain,
( ! [X1] :
( sK22 = tl(cons(sK26(X1),sK22))
| nil = X1
| ~ ssList(X1) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f472]) ).
fof(f1264,plain,
( ! [X0] :
( sK22 = tl(cons(hd(X0),sK22))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1116,f474]) ).
fof(f1019,plain,
( nil = sK22
| tl(sK22) = sK28(sK22)
| ~ spl72_2 ),
inference(resolution,[],[f480,f624]) ).
fof(f962,plain,
( ! [X0] :
( sP4(nil,X0)
| ~ ssItem(X0) )
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f961,f679]) ).
fof(f961,plain,
! [X0] :
( sP4(nil,X0)
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f960,plain,
! [X0] :
( sP4(nil,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(resolution,[],[f959,f459]) ).
fof(f955,plain,
( ! [X0] :
( sP2(nil,X0)
| ~ ssItem(X0) )
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f954,f679]) ).
fof(f954,plain,
! [X0] :
( sP2(nil,X0)
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f953]) ).
fof(f953,plain,
! [X0] :
( sP2(nil,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(resolution,[],[f952,f451]) ).
fof(f938,plain,
( nil != sK22
| ~ ssItem(nil)
| ~ spl72_19 ),
inference(duplicate_literal_removal,[],[f937]) ).
fof(f937,plain,
( nil != sK22
| ~ ssItem(nil)
| ~ ssItem(nil)
| ~ spl72_19 ),
inference(inner_rewriting,[],[f935]) ).
fof(f935,plain,
( nil != sK22
| ~ ssItem(nil)
| ~ ssItem(sK22)
| ~ spl72_19 ),
inference(resolution,[],[f428,f744]) ).
fof(f802,plain,
( sK22 = app(nil,sK22)
| ~ spl72_2 ),
inference(resolution,[],[f470,f624]) ).
fof(f754,plain,
( nil = app(nil,nil)
| ~ spl72_13 ),
inference(resolution,[],[f469,f679]) ).
fof(f757,plain,
( sK22 = app(sK22,nil)
| ~ spl72_2 ),
inference(resolution,[],[f469,f624]) ).
fof(f1781,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_62 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1780,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_62 ),
inference(global_subsumption,[],[f1648,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f743,plain,
( ~ neq(sK22,nil)
| spl72_19 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f840,plain,
( neq(sK22,nil)
| ~ spl72_20 ),
inference(resolution,[],[f384,f748]) ).
fof(f841,plain,
( sP0(sK21,sK22)
| ~ spl72_20 ),
inference(resolution,[],[f386,f748]) ).
fof(f1779,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_63 ),
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1778,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_63 ),
inference(global_subsumption,[],[f1653,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1777,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_66 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1776,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_66 ),
inference(global_subsumption,[],[f1719,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1775,plain,
( ~ spl72_4
| ~ spl72_16
| spl72_19
| ~ spl72_20 ),
inference(avatar_contradiction_clause,[],[f1774]) ).
fof(f1774,plain,
( $false
| ~ spl72_4
| ~ spl72_16
| spl72_19
| ~ spl72_20 ),
inference(global_subsumption,[],[f1739,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1739,plain,
( sK22 = cons(sK26(sK22),sK25(sK22))
| nil = sK22
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f1710,f694]) ).
fof(f1710,plain,
( nil = sK22
| sK24 = cons(sK26(sK24),sK25(sK24))
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f1674,f694]) ).
fof(f1674,plain,
( nil = sK24
| sK24 = cons(sK26(sK24),sK25(sK24))
| ~ spl72_4 ),
inference(resolution,[],[f473,f634]) ).
fof(f1773,plain,
( ~ spl72_2
| spl72_19
| ~ spl72_20 ),
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1772,plain,
( $false
| ~ spl72_2
| spl72_19
| ~ spl72_20 ),
inference(global_subsumption,[],[f1672,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1771,plain,
( spl72_19
| ~ spl72_20
| spl72_68 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1770,plain,
( $false
| spl72_19
| ~ spl72_20
| spl72_68 ),
inference(global_subsumption,[],[f1734,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1734,plain,
( sK22 != cons(sK26(sK22),sK25(sK22))
| spl72_68 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1769,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_36 ),
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1768,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_36 ),
inference(global_subsumption,[],[f1148,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1148,plain,
( tl(nil) = sK28(nil)
| ~ spl72_36 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1147,plain,
( spl72_36
<=> tl(nil) = sK28(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f1767,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_28
| ~ spl72_29 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_28
| ~ spl72_29 ),
inference(global_subsumption,[],[f1066,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1066,plain,
( hd(nil) = sK27(nil)
| ~ spl72_28
| ~ spl72_29 ),
inference(superposition,[],[f1011,f947]) ).
fof(f1011,plain,
( hd(sK22) = sK27(sK22)
| ~ spl72_29 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1009,plain,
( spl72_29
<=> hd(sK22) = sK27(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_29])]) ).
fof(f1765,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_26
| ~ spl72_28 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1764,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_26
| ~ spl72_28 ),
inference(global_subsumption,[],[f1065,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1065,plain,
( sP0(sK21,nil)
| ~ spl72_26
| ~ spl72_28 ),
inference(superposition,[],[f845,f947]) ).
fof(f1763,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_28 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_28 ),
inference(global_subsumption,[],[f1062,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1062,plain,
( sP1(nil,sK21,sK21,nil)
| ~ spl72_20
| ~ spl72_28 ),
inference(superposition,[],[f748,f947]) ).
fof(f1761,plain,
( spl72_19
| ~ spl72_20
| ~ spl72_28 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1760,plain,
( $false
| spl72_19
| ~ spl72_20
| ~ spl72_28 ),
inference(global_subsumption,[],[f947,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1759,plain,
( spl72_19
| ~ spl72_20 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1758,plain,
( $false
| spl72_19
| ~ spl72_20 ),
inference(global_subsumption,[],[f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f748,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f841,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f840,f743]) ).
fof(f1757,plain,
( spl72_19
| ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1756]) ).
fof(f1756,plain,
( $false
| spl72_19
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f743,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726,f947]) ).
fof(f1726,plain,
( nil != sK22
| spl72_66 ),
inference(resolution,[],[f1720,f449]) ).
fof(f1755,plain,
( ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1754,plain,
( $false
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726,f947]) ).
fof(f1753,plain,
( ~ spl72_20
| ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| ~ spl72_20
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f1062,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1751,plain,
( ~ spl72_26
| ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1750]) ).
fof(f1750,plain,
( $false
| ~ spl72_26
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f1065,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1749,plain,
( ~ spl72_28
| ~ spl72_29
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| ~ spl72_28
| ~ spl72_29
| spl72_66 ),
inference(global_subsumption,[],[f1066,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1747,plain,
( ~ spl72_28
| ~ spl72_36
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1746,plain,
( $false
| ~ spl72_28
| ~ spl72_36
| spl72_66 ),
inference(global_subsumption,[],[f1148,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1745,plain,
( ~ spl72_28
| spl72_66
| spl72_68 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1744,plain,
( $false
| ~ spl72_28
| spl72_66
| spl72_68 ),
inference(global_subsumption,[],[f1734,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1743,plain,
( ~ spl72_2
| ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1742]) ).
fof(f1742,plain,
( $false
| ~ spl72_2
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f1672,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1741,plain,
( ~ spl72_4
| ~ spl72_16
| ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1740]) ).
fof(f1740,plain,
( $false
| ~ spl72_4
| ~ spl72_16
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f1739,f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1738,plain,
( ~ spl72_28
| spl72_66 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1737,plain,
( $false
| ~ spl72_28
| spl72_66 ),
inference(global_subsumption,[],[f385,f398,f397,f420,f422,f423,f432,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f450,f458,f462,f461,f460,f476,f491,f486,f502,f496,f513,f507,f525,f519,f537,f531,f549,f543,f560,f554,f574,f578,f577,f580,f581,f582,f583,f584,f585,f591,f590,f594,f593,f597,f596,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f387,f451,f459,f469,f755,f470,f800,f481,f492,f503,f514,f515,f526,f527,f538,f539,f550,f561,f384,f386,f388,f389,f390,f447,f455,f471,f849,f850,f472,f474,f475,f851,f852,f477,f479,f853,f854,f563,f564,f565,f566,f567,f568,f569,f877,f878,f579,f879,f880,f873,f874,f570,f571,f760,f887,f761,f888,f762,f889,f763,f890,f764,f891,f765,f892,f419,f766,f893,f767,f894,f768,f895,f769,f896,f770,f897,f771,f898,f772,f899,f773,f900,f774,f901,f775,f902,f776,f903,f421,f777,f904,f778,f905,f779,f906,f805,f907,f806,f908,f807,f909,f808,f910,f809,f911,f810,f912,f811,f913,f812,f914,f424,f813,f915,f814,f916,f815,f917,f816,f918,f817,f919,f818,f920,f819,f921,f820,f922,f821,f923,f822,f924,f823,f925,f425,f928,f824,f930,f839,f426,f427,f428,f936,f940,f429,f430,f431,f444,f952,f445,f448,f452,f959,f453,f456,f966,f967,f968,f969,f478,f1001,f971,f973,f974,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f480,f1044,f1014,f1016,f1017,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f947,f482,f572,f1110,f1111,f1113,f1114,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f573,f1176,f1177,f1179,f1180,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f586,f587,f483,f1373,f575,f1385,f1386,f1387,f1388,f1389,f1390,f576,f1402,f1403,f1404,f1405,f1406,f1407,f588,f1419,f1420,f1421,f1422,f1423,f1424,f589,f1436,f1437,f1438,f1439,f1440,f1441,f592,f1453,f1454,f1455,f1456,f1457,f1458,f595,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1540,f1579,f473,f1703,f1667,f1669,f1675,f1676,f1677,f1678,f1679,f1680,f1681,f1682,f1683,f1684,f1685,f1686,f1687,f1688,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f1697,f1698,f1699,f1700,f1701,f1702,f1720,f1726]) ).
fof(f1736,plain,
( spl72_68
| ~ spl72_2
| spl72_28 ),
inference(avatar_split_clause,[],[f1706,f946,f622,f1733]) ).
fof(f1706,plain,
( sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_2
| spl72_28 ),
inference(subsumption_resolution,[],[f1672,f948]) ).
fof(f1731,plain,
( spl72_67
| ~ spl72_1
| spl72_33 ),
inference(avatar_split_clause,[],[f1705,f1080,f617,f1728]) ).
fof(f1725,plain,
( ~ spl72_2
| ~ spl72_14
| spl72_65 ),
inference(avatar_contradiction_clause,[],[f1724]) ).
fof(f1724,plain,
( $false
| ~ spl72_2
| ~ spl72_14
| spl72_65 ),
inference(subsumption_resolution,[],[f1723,f684]) ).
fof(f1723,plain,
( ~ ssItem(sK70)
| ~ spl72_2
| spl72_65 ),
inference(subsumption_resolution,[],[f1722,f624]) ).
fof(f1722,plain,
( ~ ssList(sK22)
| ~ ssItem(sK70)
| spl72_65 ),
inference(resolution,[],[f1716,f451]) ).
fof(f1716,plain,
( ~ sP3(sK70,sK22)
| spl72_65 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1721,plain,
( ~ spl72_65
| ~ spl72_66
| spl72_62 ),
inference(avatar_split_clause,[],[f1655,f1647,f1718,f1714]) ).
fof(f1655,plain,
( ~ sP2(sK22,sK70)
| ~ sP3(sK70,sK22)
| spl72_62 ),
inference(resolution,[],[f1649,f445]) ).
fof(f1665,plain,
( ~ spl72_64
| spl72_63 ),
inference(avatar_split_clause,[],[f1660,f1651,f1662]) ).
fof(f1660,plain,
( nil != cons(sK70,sK22)
| spl72_63 ),
inference(resolution,[],[f1652,f449]) ).
fof(f1652,plain,
( ~ sP2(cons(sK70,sK22),sK70)
| spl72_63 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1654,plain,
( ~ spl72_62
| spl72_63
| ~ spl72_14
| ~ spl72_46 ),
inference(avatar_split_clause,[],[f1563,f1358,f682,f1651,f1647]) ).
fof(f1563,plain,
( sP2(cons(sK70,sK22),sK70)
| ~ totalorderedP(cons(sK70,sK22))
| ~ spl72_14
| ~ spl72_46 ),
inference(subsumption_resolution,[],[f1562,f684]) ).
fof(f1562,plain,
( ~ ssItem(sK70)
| sP2(cons(sK70,sK22),sK70)
| ~ totalorderedP(cons(sK70,sK22))
| ~ spl72_46 ),
inference(forward_demodulation,[],[f1554,f1360]) ).
fof(f1554,plain,
( sP2(cons(sK70,sK22),sK70)
| ~ totalorderedP(cons(sK70,sK22))
| ~ ssItem(hd(cons(sK70,sK22)))
| ~ spl72_46 ),
inference(superposition,[],[f1540,f1360]) ).
fof(f1644,plain,
( ~ spl72_1
| ~ spl72_15
| spl72_60 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1643,plain,
( $false
| ~ spl72_1
| ~ spl72_15
| spl72_60 ),
inference(subsumption_resolution,[],[f1642,f689]) ).
fof(f1642,plain,
( ~ ssItem(sK71)
| ~ spl72_1
| spl72_60 ),
inference(subsumption_resolution,[],[f1641,f619]) ).
fof(f1641,plain,
( ~ ssList(sK21)
| ~ ssItem(sK71)
| spl72_60 ),
inference(resolution,[],[f1635,f451]) ).
fof(f1635,plain,
( ~ sP3(sK71,sK21)
| spl72_60 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1640,plain,
( ~ spl72_60
| ~ spl72_61
| spl72_57 ),
inference(avatar_split_clause,[],[f1614,f1606,f1637,f1633]) ).
fof(f1631,plain,
( ~ spl72_59
| spl72_58 ),
inference(avatar_split_clause,[],[f1619,f1610,f1628]) ).
fof(f1613,plain,
( ~ spl72_57
| spl72_58
| ~ spl72_15
| ~ spl72_45 ),
inference(avatar_split_clause,[],[f1561,f1327,f687,f1610,f1606]) ).
fof(f1561,plain,
( sP2(cons(sK71,sK21),sK71)
| ~ totalorderedP(cons(sK71,sK21))
| ~ spl72_15
| ~ spl72_45 ),
inference(subsumption_resolution,[],[f1560,f689]) ).
fof(f1560,plain,
( ~ ssItem(sK71)
| sP2(cons(sK71,sK21),sK71)
| ~ totalorderedP(cons(sK71,sK21))
| ~ spl72_45 ),
inference(forward_demodulation,[],[f1553,f1329]) ).
fof(f1553,plain,
( sP2(cons(sK71,sK21),sK71)
| ~ totalorderedP(cons(sK71,sK21))
| ~ ssItem(hd(cons(sK71,sK21)))
| ~ spl72_45 ),
inference(superposition,[],[f1540,f1329]) ).
fof(f1603,plain,
( ~ spl72_1
| ~ spl72_14
| spl72_55 ),
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1602,plain,
( $false
| ~ spl72_1
| ~ spl72_14
| spl72_55 ),
inference(subsumption_resolution,[],[f1601,f684]) ).
fof(f1601,plain,
( ~ ssItem(sK70)
| ~ spl72_1
| spl72_55 ),
inference(subsumption_resolution,[],[f1600,f619]) ).
fof(f1600,plain,
( ~ ssList(sK21)
| ~ ssItem(sK70)
| spl72_55 ),
inference(resolution,[],[f1594,f451]) ).
fof(f1594,plain,
( ~ sP3(sK70,sK21)
| spl72_55 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl72_55
<=> sP3(sK70,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_55])]) ).
fof(f1599,plain,
( ~ spl72_55
| ~ spl72_56
| spl72_52 ),
inference(avatar_split_clause,[],[f1580,f1571,f1596,f1592]) ).
fof(f1596,plain,
( spl72_56
<=> sP2(sK21,sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f1571,plain,
( spl72_52
<=> totalorderedP(cons(sK70,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_52])]) ).
fof(f1580,plain,
( ~ sP2(sK21,sK70)
| ~ sP3(sK70,sK21)
| spl72_52 ),
inference(resolution,[],[f1573,f445]) ).
fof(f1573,plain,
( ~ totalorderedP(cons(sK70,sK21))
| spl72_52 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1590,plain,
( ~ spl72_54
| spl72_53 ),
inference(avatar_split_clause,[],[f1585,f1575,f1587]) ).
fof(f1575,plain,
( spl72_53
<=> sP2(cons(sK70,sK21),sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_53])]) ).
fof(f1585,plain,
( nil != cons(sK70,sK21)
| spl72_53 ),
inference(resolution,[],[f1576,f449]) ).
fof(f1576,plain,
( ~ sP2(cons(sK70,sK21),sK70)
| spl72_53 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1578,plain,
( ~ spl72_52
| spl72_53
| ~ spl72_14
| ~ spl72_44 ),
inference(avatar_split_clause,[],[f1559,f1322,f682,f1575,f1571]) ).
fof(f1559,plain,
( sP2(cons(sK70,sK21),sK70)
| ~ totalorderedP(cons(sK70,sK21))
| ~ spl72_14
| ~ spl72_44 ),
inference(subsumption_resolution,[],[f1558,f684]) ).
fof(f1558,plain,
( ~ ssItem(sK70)
| sP2(cons(sK70,sK21),sK70)
| ~ totalorderedP(cons(sK70,sK21))
| ~ spl72_44 ),
inference(forward_demodulation,[],[f1552,f1324]) ).
fof(f1552,plain,
( sP2(cons(sK70,sK21),sK70)
| ~ totalorderedP(cons(sK70,sK21))
| ~ ssItem(hd(cons(sK70,sK21)))
| ~ spl72_44 ),
inference(superposition,[],[f1540,f1324]) ).
fof(f1521,plain,
( spl72_51
| ~ spl72_13
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1511,f687,f677,f1518]) ).
fof(f1518,plain,
( spl72_51
<=> sK71 = hd(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f1511,plain,
( sK71 = hd(cons(sK71,nil))
| ~ spl72_13
| ~ spl72_15 ),
inference(resolution,[],[f1178,f689]) ).
fof(f1516,plain,
( spl72_50
| ~ spl72_13
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1510,f682,f677,f1513]) ).
fof(f1513,plain,
( spl72_50
<=> sK70 = hd(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_50])]) ).
fof(f1510,plain,
( sK70 = hd(cons(sK70,nil))
| ~ spl72_13
| ~ spl72_14 ),
inference(resolution,[],[f1178,f684]) ).
fof(f1489,plain,
( spl72_49
| ~ spl72_13
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1479,f687,f677,f1486]) ).
fof(f1486,plain,
( spl72_49
<=> nil = tl(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f1479,plain,
( nil = tl(cons(sK71,nil))
| ~ spl72_13
| ~ spl72_15 ),
inference(resolution,[],[f1112,f689]) ).
fof(f1484,plain,
( spl72_48
| ~ spl72_13
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1478,f682,f677,f1481]) ).
fof(f1481,plain,
( spl72_48
<=> nil = tl(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_48])]) ).
fof(f1478,plain,
( nil = tl(cons(sK70,nil))
| ~ spl72_13
| ~ spl72_14 ),
inference(resolution,[],[f1112,f684]) ).
fof(f1366,plain,
( spl72_47
| ~ spl72_2
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1356,f687,f622,f1363]) ).
fof(f1356,plain,
( sK71 = hd(cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_15 ),
inference(resolution,[],[f1182,f689]) ).
fof(f1361,plain,
( spl72_46
| ~ spl72_2
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1355,f682,f622,f1358]) ).
fof(f1355,plain,
( sK70 = hd(cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_14 ),
inference(resolution,[],[f1182,f684]) ).
fof(f1330,plain,
( spl72_45
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1315,f687,f617,f1327]) ).
fof(f1315,plain,
( sK71 = hd(cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f1181,f689]) ).
fof(f1325,plain,
( spl72_44
| ~ spl72_1
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1314,f682,f617,f1322]) ).
fof(f1314,plain,
( sK70 = hd(cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_14 ),
inference(resolution,[],[f1181,f684]) ).
fof(f1293,plain,
( spl72_43
| ~ spl72_2
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1283,f687,f622,f1290]) ).
fof(f1283,plain,
( sK22 = tl(cons(sK71,sK22))
| ~ spl72_2
| ~ spl72_15 ),
inference(resolution,[],[f1116,f689]) ).
fof(f1288,plain,
( spl72_42
| ~ spl72_2
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1282,f682,f622,f1285]) ).
fof(f1282,plain,
( sK22 = tl(cons(sK70,sK22))
| ~ spl72_2
| ~ spl72_14 ),
inference(resolution,[],[f1116,f684]) ).
fof(f1261,plain,
( spl72_41
| ~ spl72_1
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1246,f687,f617,f1258]) ).
fof(f1246,plain,
( sK21 = tl(cons(sK71,sK21))
| ~ spl72_1
| ~ spl72_15 ),
inference(resolution,[],[f1115,f689]) ).
fof(f1251,plain,
( spl72_40
| ~ spl72_1
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f1245,f682,f617,f1248]) ).
fof(f1245,plain,
( sK21 = tl(cons(sK70,sK21))
| ~ spl72_1
| ~ spl72_14 ),
inference(resolution,[],[f1115,f684]) ).
fof(f1225,plain,
( ~ spl72_13
| spl72_39 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| ~ spl72_13
| spl72_39 ),
inference(subsumption_resolution,[],[f1218,f679]) ).
fof(f1218,plain,
( ~ ssList(nil)
| spl72_39 ),
inference(resolution,[],[f1211,f468]) ).
fof(f1211,plain,
( ~ rearsegP(nil,nil)
| spl72_39 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1223,plain,
( ~ spl72_13
| spl72_39 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| ~ spl72_13
| spl72_39 ),
inference(subsumption_resolution,[],[f1217,f679]) ).
fof(f1217,plain,
( ~ ssList(nil)
| spl72_39 ),
inference(resolution,[],[f1211,f464]) ).
fof(f1221,plain,
( ~ spl72_13
| spl72_39 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| ~ spl72_13
| spl72_39 ),
inference(subsumption_resolution,[],[f1219,f679]) ).
fof(f1219,plain,
( ~ ssList(nil)
| spl72_39 ),
inference(trivial_inequality_removal,[],[f1216]) ).
fof(f1216,plain,
( nil != nil
| ~ ssList(nil)
| spl72_39 ),
inference(resolution,[],[f1211,f568]) ).
fof(f1213,plain,
( spl72_39
| ~ spl72_34
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f1167,f1159,f1090,f1210]) ).
fof(f1090,plain,
( spl72_34
<=> sP0(nil,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_34])]) ).
fof(f1159,plain,
( spl72_38
<=> nil = sK20(nil,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f1167,plain,
( rearsegP(nil,nil)
| ~ spl72_34
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f1163,f1092]) ).
fof(f1092,plain,
( sP0(nil,sK22)
| ~ spl72_34 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1163,plain,
( rearsegP(nil,nil)
| ~ sP0(nil,sK22)
| ~ spl72_38 ),
inference(superposition,[],[f390,f1161]) ).
fof(f1161,plain,
( nil = sK20(nil,sK22)
| ~ spl72_38 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1171,plain,
( spl72_31
| ~ spl72_34
| ~ spl72_38 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1170,plain,
( $false
| spl72_31
| ~ spl72_34
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f1169,f1092]) ).
fof(f1169,plain,
( ~ sP0(nil,sK22)
| spl72_31
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f1165,f1069]) ).
fof(f1069,plain,
( ~ neq(nil,nil)
| spl72_31 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1165,plain,
( neq(nil,nil)
| ~ sP0(nil,sK22)
| ~ spl72_38 ),
inference(superposition,[],[f388,f1161]) ).
fof(f1162,plain,
( spl72_38
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f1109,f1090,f1159]) ).
fof(f1109,plain,
( nil = sK20(nil,sK22)
| ~ spl72_34 ),
inference(resolution,[],[f1092,f874]) ).
fof(f1155,plain,
( spl72_37
| ~ spl72_20
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1087,f1080,f746,f1152]) ).
fof(f1152,plain,
( spl72_37
<=> sP1(sK22,nil,nil,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_37])]) ).
fof(f1087,plain,
( sP1(sK22,nil,nil,sK22)
| ~ spl72_20
| ~ spl72_33 ),
inference(superposition,[],[f748,f1082]) ).
fof(f1082,plain,
( nil = sK21
| ~ spl72_33 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1150,plain,
( ~ spl72_36
| ~ spl72_33
| spl72_35 ),
inference(avatar_split_clause,[],[f1145,f1097,f1080,f1147]) ).
fof(f1097,plain,
( spl72_35
<=> tl(sK21) = sK28(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f1145,plain,
( tl(nil) != sK28(nil)
| ~ spl72_33
| spl72_35 ),
inference(forward_demodulation,[],[f1098,f1082]) ).
fof(f1098,plain,
( tl(sK21) != sK28(sK21)
| spl72_35 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1108,plain,
( spl72_34
| ~ spl72_26
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1084,f1080,f843,f1090]) ).
fof(f1084,plain,
( sP0(nil,sK22)
| ~ spl72_26
| ~ spl72_33 ),
inference(superposition,[],[f845,f1082]) ).
fof(f1100,plain,
( spl72_35
| ~ spl72_1
| spl72_33 ),
inference(avatar_split_clause,[],[f1095,f1080,f617,f1097]) ).
fof(f1093,plain,
( spl72_34
| ~ spl72_26
| ~ spl72_33 ),
inference(avatar_split_clause,[],[f1084,f1080,f843,f1090]) ).
fof(f1083,plain,
( spl72_32
| spl72_33
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f975,f617,f1080,f1076]) ).
fof(f1076,plain,
( spl72_32
<=> hd(sK21) = sK27(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_32])]) ).
fof(f1071,plain,
( spl72_31
| ~ spl72_19
| ~ spl72_28 ),
inference(avatar_split_clause,[],[f1061,f946,f742,f1068]) ).
fof(f1057,plain,
( spl72_30
| ~ spl72_2
| spl72_28 ),
inference(avatar_split_clause,[],[f1045,f946,f622,f1054]) ).
fof(f1054,plain,
( spl72_30
<=> tl(sK22) = sK28(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f1045,plain,
( tl(sK22) = sK28(sK22)
| ~ spl72_2
| spl72_28 ),
inference(subsumption_resolution,[],[f1019,f948]) ).
fof(f1051,plain,
( spl72_29
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(avatar_split_clause,[],[f1007,f946,f692,f632,f1009]) ).
fof(f1007,plain,
( hd(sK22) = sK27(sK22)
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(forward_demodulation,[],[f1006,f694]) ).
fof(f1006,plain,
( hd(sK24) = sK27(sK24)
| ~ spl72_4
| ~ spl72_16
| spl72_28 ),
inference(subsumption_resolution,[],[f1005,f948]) ).
fof(f1005,plain,
( nil = sK22
| hd(sK24) = sK27(sK24)
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f978,f694]) ).
fof(f978,plain,
( nil = sK24
| hd(sK24) = sK27(sK24)
| ~ spl72_4 ),
inference(resolution,[],[f478,f634]) ).
fof(f1012,plain,
( spl72_29
| ~ spl72_2
| spl72_28 ),
inference(avatar_split_clause,[],[f1002,f946,f622,f1009]) ).
fof(f1002,plain,
( hd(sK22) = sK27(sK22)
| ~ spl72_2
| spl72_28 ),
inference(subsumption_resolution,[],[f976,f948]) ).
fof(f976,plain,
( nil = sK22
| hd(sK22) = sK27(sK22)
| ~ spl72_2 ),
inference(resolution,[],[f478,f624]) ).
fof(f949,plain,
( ~ spl72_27
| ~ spl72_28
| ~ spl72_19 ),
inference(avatar_split_clause,[],[f938,f742,f946,f942]) ).
fof(f942,plain,
( spl72_27
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_27])]) ).
fof(f846,plain,
( spl72_26
| ~ spl72_20 ),
inference(avatar_split_clause,[],[f841,f746,f843]) ).
fof(f838,plain,
( spl72_25
| ~ spl72_4
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f826,f692,f632,f833]) ).
fof(f826,plain,
( sK22 = app(nil,sK22)
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f804,f694]) ).
fof(f804,plain,
( sK24 = app(nil,sK24)
| ~ spl72_4 ),
inference(resolution,[],[f470,f634]) ).
fof(f837,plain,
( spl72_24
| ~ spl72_3
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f825,f697,f627,f828]) ).
fof(f825,plain,
( sK21 = app(nil,sK21)
| ~ spl72_3
| ~ spl72_17 ),
inference(forward_demodulation,[],[f803,f699]) ).
fof(f803,plain,
( sK23 = app(nil,sK23)
| ~ spl72_3 ),
inference(resolution,[],[f470,f629]) ).
fof(f836,plain,
( spl72_25
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f802,f622,f833]) ).
fof(f831,plain,
( spl72_24
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f801,f617,f828]) ).
fof(f798,plain,
( spl72_23
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f754,f677,f795]) ).
fof(f795,plain,
( spl72_23
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_23])]) ).
fof(f793,plain,
( spl72_22
| ~ spl72_4
| ~ spl72_16 ),
inference(avatar_split_clause,[],[f781,f692,f632,f788]) ).
fof(f788,plain,
( spl72_22
<=> sK22 = app(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f781,plain,
( sK22 = app(sK22,nil)
| ~ spl72_4
| ~ spl72_16 ),
inference(forward_demodulation,[],[f759,f694]) ).
fof(f759,plain,
( sK24 = app(sK24,nil)
| ~ spl72_4 ),
inference(resolution,[],[f469,f634]) ).
fof(f792,plain,
( spl72_21
| ~ spl72_3
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f780,f697,f627,f783]) ).
fof(f780,plain,
( sK21 = app(sK21,nil)
| ~ spl72_3
| ~ spl72_17 ),
inference(forward_demodulation,[],[f758,f699]) ).
fof(f758,plain,
( sK23 = app(sK23,nil)
| ~ spl72_3 ),
inference(resolution,[],[f469,f629]) ).
fof(f791,plain,
( spl72_22
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f757,f622,f788]) ).
fof(f786,plain,
( spl72_21
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f756,f617,f783]) ).
fof(f753,plain,
( ~ spl72_16
| ~ spl72_17
| ~ spl72_19
| spl72_20 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| ~ spl72_16
| ~ spl72_17
| ~ spl72_19
| spl72_20 ),
inference(global_subsumption,[],[f744,f386,f385,f384,f390,f389,f388,f387,f398,f397,f419,f420,f421,f422,f423,f425,f424,f427,f426,f429,f428,f432,f431,f430,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f445,f444,f450,f448,f447,f451,f453,f452,f458,f456,f455,f459,f462,f461,f460,f469,f470,f473,f472,f471,f474,f475,f476,f478,f477,f480,f479,f483,f482,f481,f492,f491,f486,f503,f502,f496,f515,f514,f513,f507,f527,f526,f525,f519,f539,f538,f537,f531,f550,f549,f543,f561,f560,f554,f564,f563,f566,f565,f568,f567,f569,f570,f571,f572,f573,f574,f578,f577,f576,f575,f579,f580,f581,f582,f583,f584,f585,f587,f586,f591,f590,f589,f588,f594,f593,f592,f597,f596,f595,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f694,f699,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f740,f733,f747]) ).
fof(f747,plain,
( ~ sP1(sK22,sK21,sK21,sK22)
| spl72_20 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f733,plain,
( sP1(sK22,sK21,sK21,sK22)
| neq(sK22,nil)
| ~ spl72_16
| ~ spl72_17 ),
inference(forward_demodulation,[],[f732,f694]) ).
fof(f732,plain,
( sP1(sK24,sK21,sK21,sK22)
| neq(sK22,nil)
| ~ spl72_17 ),
inference(forward_demodulation,[],[f397,f699]) ).
fof(f740,plain,
( sP1(sK22,sK21,sK21,sK22)
| ~ neq(sK22,nil)
| ~ spl72_16
| ~ spl72_17 ),
inference(forward_demodulation,[],[f739,f694]) ).
fof(f739,plain,
( sP1(sK24,sK21,sK21,sK22)
| ~ neq(sK22,nil)
| ~ spl72_16
| ~ spl72_17 ),
inference(forward_demodulation,[],[f738,f699]) ).
fof(f738,plain,
( ~ neq(sK22,nil)
| sP1(sK24,sK23,sK21,sK22)
| ~ spl72_16 ),
inference(forward_demodulation,[],[f398,f694]) ).
fof(f751,plain,
( ~ spl72_16
| ~ spl72_17
| spl72_20 ),
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| ~ spl72_16
| ~ spl72_17
| spl72_20 ),
inference(global_subsumption,[],[f386,f385,f384,f390,f389,f388,f387,f398,f397,f419,f420,f421,f422,f423,f425,f424,f427,f426,f429,f428,f432,f431,f430,f433,f434,f435,f436,f437,f440,f439,f438,f443,f442,f441,f445,f444,f450,f448,f447,f451,f453,f452,f458,f456,f455,f459,f462,f461,f460,f469,f470,f473,f472,f471,f474,f475,f476,f478,f477,f480,f479,f483,f482,f481,f492,f491,f486,f503,f502,f496,f515,f514,f513,f507,f527,f526,f525,f519,f539,f538,f537,f531,f550,f549,f543,f561,f560,f554,f564,f563,f566,f565,f568,f567,f569,f570,f571,f572,f573,f574,f578,f577,f576,f575,f579,f580,f581,f582,f583,f584,f585,f587,f586,f591,f590,f589,f588,f594,f593,f592,f597,f596,f595,f600,f599,f598,f601,f603,f602,f604,f605,f606,f607,f608,f609,f610,f611,f612,f391,f392,f393,f394,f399,f400,f401,f402,f403,f404,f405,f406,f407,f613,f614,f395,f396,f694,f699,f615,f493,f504,f516,f528,f540,f551,f562,f408,f409,f410,f411,f463,f464,f465,f466,f467,f468,f487,f488,f489,f490,f497,f498,f499,f500,f501,f508,f509,f510,f511,f512,f520,f521,f522,f523,f524,f532,f533,f534,f535,f536,f544,f545,f546,f547,f548,f555,f556,f557,f558,f559,f412,f413,f414,f415,f416,f417,f418,f449,f457,f484,f485,f494,f495,f505,f506,f517,f518,f529,f530,f541,f542,f552,f553,f708,f709,f710,f711,f712,f713,f714,f715,f716,f717,f718,f719,f720,f721,f740,f733,f747]) ).
fof(f749,plain,
( spl72_19
| spl72_20
| ~ spl72_16
| ~ spl72_17 ),
inference(avatar_split_clause,[],[f733,f697,f692,f746,f742]) ).
fof(f707,plain,
~ spl72_18,
inference(avatar_split_clause,[],[f615,f704]) ).
fof(f704,plain,
( spl72_18
<=> sK70 = sK71 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f700,plain,
spl72_17,
inference(avatar_split_clause,[],[f396,f697]) ).
fof(f695,plain,
spl72_16,
inference(avatar_split_clause,[],[f395,f692]) ).
fof(f690,plain,
spl72_15,
inference(avatar_split_clause,[],[f614,f687]) ).
fof(f685,plain,
spl72_14,
inference(avatar_split_clause,[],[f613,f682]) ).
fof(f680,plain,
spl72_13,
inference(avatar_split_clause,[],[f407,f677]) ).
fof(f675,plain,
spl72_12,
inference(avatar_split_clause,[],[f406,f672]) ).
fof(f672,plain,
( spl72_12
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f670,plain,
spl72_11,
inference(avatar_split_clause,[],[f405,f667]) ).
fof(f667,plain,
( spl72_11
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f665,plain,
spl72_10,
inference(avatar_split_clause,[],[f404,f662]) ).
fof(f662,plain,
( spl72_10
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f660,plain,
spl72_9,
inference(avatar_split_clause,[],[f403,f657]) ).
fof(f657,plain,
( spl72_9
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f655,plain,
spl72_8,
inference(avatar_split_clause,[],[f402,f652]) ).
fof(f652,plain,
( spl72_8
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f650,plain,
spl72_7,
inference(avatar_split_clause,[],[f401,f647]) ).
fof(f647,plain,
( spl72_7
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f645,plain,
spl72_6,
inference(avatar_split_clause,[],[f400,f642]) ).
fof(f642,plain,
( spl72_6
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f640,plain,
~ spl72_5,
inference(avatar_split_clause,[],[f399,f637]) ).
fof(f637,plain,
( spl72_5
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f635,plain,
spl72_4,
inference(avatar_split_clause,[],[f394,f632]) ).
fof(f630,plain,
spl72_3,
inference(avatar_split_clause,[],[f393,f627]) ).
fof(f625,plain,
spl72_2,
inference(avatar_split_clause,[],[f392,f622]) ).
fof(f620,plain,
spl72_1,
inference(avatar_split_clause,[],[f391,f617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC050+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 17:42:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.41 % (25817)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25835)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (25834)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (25837)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (25836)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)
% 0.20/0.42 % (25838)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)
% 0.20/0.42 % (25839)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)
% 0.20/0.42 % (25840)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)
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.44 TRYING [3]
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.45 TRYING [3]
% 0.20/0.47 TRYING [4]
% 0.20/0.48 TRYING [4]
% 0.20/0.49 TRYING [4]
% 0.20/0.55 TRYING [5]
% 0.20/0.56 TRYING [5]
% 1.24/0.58 TRYING [5]
% 1.94/0.67 TRYING [6]
% 1.94/0.71 TRYING [6]
% 1.94/0.73 TRYING [6]
% 3.19/0.88 % (25836)First to succeed.
% 3.19/0.90 % (25836)Refutation found. Thanks to Tanya!
% 3.19/0.90 % SZS status Theorem for Vampire---4
% 3.19/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 3.60/0.91 % (25836)------------------------------
% 3.60/0.91 % (25836)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.60/0.91 % (25836)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.60/0.91 % (25836)Termination reason: Refutation
% 3.60/0.91
% 3.60/0.91 % (25836)Memory used [KB]: 10234
% 3.60/0.91 % (25836)Time elapsed: 0.479 s
% 3.60/0.91 % (25836)------------------------------
% 3.60/0.91 % (25836)------------------------------
% 3.60/0.91 % (25817)Success in time 0.543 s
% 3.60/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------